TSTP Solution File: ALG116+1 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : ALG116+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Thu Jul 14 18:29:29 EDT 2022
% Result : Theorem 51.19s 51.39s
% Output : Proof 51.50s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ALG116+1 : TPTP v8.1.0. Released v2.7.0.
% 0.03/0.12 % Command : run_zenon %s %d
% 0.12/0.33 % Computer : n017.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Wed Jun 8 06:37:18 EDT 2022
% 0.12/0.33 % CPUTime :
% 51.19/51.39 (* PROOF-FOUND *)
% 51.19/51.39 % SZS status Theorem
% 51.19/51.39 (* BEGIN-PROOF *)
% 51.19/51.39 % SZS output start Proof
% 51.19/51.39 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))))))))))))))))))))))))))).
% 51.19/51.39 Proof.
% 51.19/51.39 assert (zenon_L1_ : (~((h4 (e10)) = (e20))) -> ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> False).
% 51.19/51.39 do 0 intro. intros zenon_H12 zenon_H13 zenon_H14.
% 51.19/51.39 cut (((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) = ((h4 (e10)) = (e20))).
% 51.19/51.39 intro zenon_D_pnotp.
% 51.19/51.39 apply zenon_H12.
% 51.19/51.39 rewrite <- zenon_D_pnotp.
% 51.19/51.39 exact zenon_H13.
% 51.19/51.39 cut (((op2 (e23) (op2 (e23) (e23))) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H15].
% 51.19/51.39 cut (((h4 (e10)) = (h4 (e10)))); [idtac | apply NNPP; zenon_intro zenon_H16].
% 51.19/51.39 congruence.
% 51.19/51.39 apply zenon_H16. apply refl_equal.
% 51.19/51.39 apply zenon_H15. apply sym_equal. exact zenon_H14.
% 51.19/51.39 (* end of lemma zenon_L1_ *)
% 51.19/51.39 assert (zenon_L2_ : (~((e13) = (e13))) -> False).
% 51.19/51.39 do 0 intro. intros zenon_H17.
% 51.19/51.39 apply zenon_H17. apply refl_equal.
% 51.19/51.39 (* end of lemma zenon_L2_ *)
% 51.19/51.39 assert (zenon_L3_ : (~((op1 (e13) (op1 (e13) (e13))) = (op1 (e13) (e11)))) -> ((e11) = (op1 (e13) (e13))) -> False).
% 51.19/51.39 do 0 intro. intros zenon_H18 zenon_H19.
% 51.19/51.39 cut (((op1 (e13) (e13)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H1a].
% 51.19/51.39 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H17].
% 51.19/51.39 congruence.
% 51.19/51.39 apply zenon_H17. apply refl_equal.
% 51.19/51.39 apply zenon_H1a. apply sym_equal. exact zenon_H19.
% 51.19/51.39 (* end of lemma zenon_L3_ *)
% 51.19/51.39 assert (zenon_L4_ : (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((op1 (e10) (e11)) = (e10)) -> ((e11) = (op1 (e13) (e13))) -> False).
% 51.19/51.39 do 0 intro. intros zenon_H1b zenon_H1c zenon_H1d zenon_H19.
% 51.19/51.39 cut (((e10) = (op1 (e13) (op1 (e13) (e13)))) = ((op1 (e10) (e11)) = (op1 (e13) (e11)))).
% 51.19/51.39 intro zenon_D_pnotp.
% 51.19/51.39 apply zenon_H1b.
% 51.19/51.39 rewrite <- zenon_D_pnotp.
% 51.19/51.39 exact zenon_H1c.
% 51.19/51.39 cut (((op1 (e13) (op1 (e13) (e13))) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H18].
% 51.19/51.39 cut (((e10) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H1e].
% 51.19/51.39 congruence.
% 51.19/51.39 elim (classic ((op1 (e10) (e11)) = (op1 (e10) (e11)))); [ zenon_intro zenon_H1f | zenon_intro zenon_H20 ].
% 51.19/51.39 cut (((op1 (e10) (e11)) = (op1 (e10) (e11))) = ((e10) = (op1 (e10) (e11)))).
% 51.19/51.39 intro zenon_D_pnotp.
% 51.19/51.39 apply zenon_H1e.
% 51.19/51.39 rewrite <- zenon_D_pnotp.
% 51.19/51.39 exact zenon_H1f.
% 51.19/51.39 cut (((op1 (e10) (e11)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H20].
% 51.19/51.39 cut (((op1 (e10) (e11)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H21].
% 51.19/51.39 congruence.
% 51.19/51.39 exact (zenon_H21 zenon_H1d).
% 51.19/51.39 apply zenon_H20. apply refl_equal.
% 51.19/51.39 apply zenon_H20. apply refl_equal.
% 51.19/51.39 apply (zenon_L3_); trivial.
% 51.19/51.39 (* end of lemma zenon_L4_ *)
% 51.19/51.39 assert (zenon_L5_ : ((op1 (e10) (e12)) = (e10)) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> False).
% 51.19/51.39 do 0 intro. intros zenon_H22 zenon_H23 zenon_H24.
% 51.19/51.39 elim (classic ((op1 (e10) (e12)) = (op1 (e10) (e12)))); [ zenon_intro zenon_H25 | zenon_intro zenon_H26 ].
% 51.19/51.39 cut (((op1 (e10) (e12)) = (op1 (e10) (e12))) = ((op1 (e10) (e10)) = (op1 (e10) (e12)))).
% 51.19/51.39 intro zenon_D_pnotp.
% 51.19/51.39 apply zenon_H24.
% 51.19/51.39 rewrite <- zenon_D_pnotp.
% 51.19/51.39 exact zenon_H25.
% 51.19/51.39 cut (((op1 (e10) (e12)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H26].
% 51.19/51.39 cut (((op1 (e10) (e12)) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H27].
% 51.19/51.39 congruence.
% 51.19/51.39 cut (((op1 (e10) (e12)) = (e10)) = ((op1 (e10) (e12)) = (op1 (e10) (e10)))).
% 51.19/51.39 intro zenon_D_pnotp.
% 51.19/51.39 apply zenon_H27.
% 51.19/51.39 rewrite <- zenon_D_pnotp.
% 51.19/51.39 exact zenon_H22.
% 51.19/51.39 cut (((e10) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H28].
% 51.19/51.39 cut (((op1 (e10) (e12)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H26].
% 51.19/51.39 congruence.
% 51.19/51.39 apply zenon_H26. apply refl_equal.
% 51.19/51.39 apply zenon_H28. apply sym_equal. exact zenon_H23.
% 51.19/51.39 apply zenon_H26. apply refl_equal.
% 51.19/51.39 apply zenon_H26. apply refl_equal.
% 51.19/51.39 (* end of lemma zenon_L5_ *)
% 51.19/51.39 assert (zenon_L6_ : (~((op1 (op1 (e13) (op1 (e13) (e13))) (e13)) = (op1 (e10) (e13)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> False).
% 51.19/51.39 do 0 intro. intros zenon_H29 zenon_H1c.
% 51.19/51.39 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H17].
% 51.19/51.39 cut (((op1 (e13) (op1 (e13) (e13))) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H2a].
% 51.19/51.39 congruence.
% 51.19/51.39 apply zenon_H2a. apply sym_equal. exact zenon_H1c.
% 51.19/51.39 apply zenon_H17. apply refl_equal.
% 51.19/51.39 (* end of lemma zenon_L6_ *)
% 51.19/51.39 assert (zenon_L7_ : (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((op1 (e10) (e10)) = (e12)) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> False).
% 51.19/51.39 do 0 intro. intros zenon_H2b zenon_H2c zenon_H2d zenon_H1c.
% 51.19/51.39 cut (((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) = ((op1 (e10) (e10)) = (op1 (e10) (e13)))).
% 51.19/51.39 intro zenon_D_pnotp.
% 51.19/51.39 apply zenon_H2b.
% 51.19/51.39 rewrite <- zenon_D_pnotp.
% 51.19/51.39 exact zenon_H2c.
% 51.19/51.39 cut (((op1 (op1 (e13) (op1 (e13) (e13))) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H29].
% 51.19/51.39 cut (((e12) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H2e].
% 51.19/51.39 congruence.
% 51.19/51.39 elim (classic ((op1 (e10) (e10)) = (op1 (e10) (e10)))); [ zenon_intro zenon_H2f | zenon_intro zenon_H30 ].
% 51.19/51.39 cut (((op1 (e10) (e10)) = (op1 (e10) (e10))) = ((e12) = (op1 (e10) (e10)))).
% 51.19/51.39 intro zenon_D_pnotp.
% 51.19/51.39 apply zenon_H2e.
% 51.19/51.39 rewrite <- zenon_D_pnotp.
% 51.19/51.39 exact zenon_H2f.
% 51.19/51.39 cut (((op1 (e10) (e10)) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H30].
% 51.19/51.39 cut (((op1 (e10) (e10)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H31].
% 51.19/51.39 congruence.
% 51.19/51.39 exact (zenon_H31 zenon_H2d).
% 51.19/51.39 apply zenon_H30. apply refl_equal.
% 51.19/51.39 apply zenon_H30. apply refl_equal.
% 51.19/51.39 apply (zenon_L6_); trivial.
% 51.19/51.39 (* end of lemma zenon_L7_ *)
% 51.19/51.39 assert (zenon_L8_ : (~((e10) = (e10))) -> False).
% 51.19/51.39 do 0 intro. intros zenon_H32.
% 51.19/51.39 apply zenon_H32. apply refl_equal.
% 51.19/51.39 (* end of lemma zenon_L8_ *)
% 51.19/51.39 assert (zenon_L9_ : ((op1 (e11) (e10)) = (e10)) -> ((op1 (e11) (e10)) = (e12)) -> (~((e10) = (e12))) -> False).
% 51.19/51.39 do 0 intro. intros zenon_H33 zenon_H34 zenon_H35.
% 51.19/51.39 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H36 | zenon_intro zenon_H37 ].
% 51.19/51.39 cut (((e12) = (e12)) = ((e10) = (e12))).
% 51.19/51.39 intro zenon_D_pnotp.
% 51.19/51.39 apply zenon_H35.
% 51.19/51.39 rewrite <- zenon_D_pnotp.
% 51.19/51.39 exact zenon_H36.
% 51.19/51.39 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H37].
% 51.19/51.39 cut (((e12) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H38].
% 51.19/51.39 congruence.
% 51.19/51.39 cut (((op1 (e11) (e10)) = (e10)) = ((e12) = (e10))).
% 51.19/51.39 intro zenon_D_pnotp.
% 51.19/51.39 apply zenon_H38.
% 51.19/51.39 rewrite <- zenon_D_pnotp.
% 51.19/51.39 exact zenon_H33.
% 51.19/51.39 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H32].
% 51.19/51.39 cut (((op1 (e11) (e10)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H39].
% 51.19/51.39 congruence.
% 51.19/51.39 exact (zenon_H39 zenon_H34).
% 51.19/51.39 apply zenon_H32. apply refl_equal.
% 51.19/51.39 apply zenon_H37. apply refl_equal.
% 51.19/51.39 apply zenon_H37. apply refl_equal.
% 51.19/51.39 (* end of lemma zenon_L9_ *)
% 51.19/51.39 assert (zenon_L10_ : (~((e11) = (e11))) -> False).
% 51.19/51.39 do 0 intro. intros zenon_H3a.
% 51.19/51.39 apply zenon_H3a. apply refl_equal.
% 51.19/51.39 (* end of lemma zenon_L10_ *)
% 51.19/51.39 assert (zenon_L11_ : ((op1 (e10) (e10)) = (e11)) -> ((op1 (e10) (e10)) = (e13)) -> (~((e11) = (e13))) -> False).
% 51.19/51.39 do 0 intro. intros zenon_H3b zenon_H3c zenon_H3d.
% 51.19/51.39 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H3e | zenon_intro zenon_H17 ].
% 51.19/51.39 cut (((e13) = (e13)) = ((e11) = (e13))).
% 51.19/51.39 intro zenon_D_pnotp.
% 51.19/51.39 apply zenon_H3d.
% 51.19/51.39 rewrite <- zenon_D_pnotp.
% 51.19/51.39 exact zenon_H3e.
% 51.19/51.39 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H17].
% 51.19/51.39 cut (((e13) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H3f].
% 51.19/51.39 congruence.
% 51.19/51.39 cut (((op1 (e10) (e10)) = (e11)) = ((e13) = (e11))).
% 51.19/51.39 intro zenon_D_pnotp.
% 51.19/51.39 apply zenon_H3f.
% 51.19/51.39 rewrite <- zenon_D_pnotp.
% 51.19/51.39 exact zenon_H3b.
% 51.19/51.39 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H3a].
% 51.19/51.39 cut (((op1 (e10) (e10)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H40].
% 51.19/51.39 congruence.
% 51.19/51.39 exact (zenon_H40 zenon_H3c).
% 51.19/51.39 apply zenon_H3a. apply refl_equal.
% 51.19/51.39 apply zenon_H17. apply refl_equal.
% 51.19/51.39 apply zenon_H17. apply refl_equal.
% 51.19/51.39 (* end of lemma zenon_L11_ *)
% 51.19/51.39 assert (zenon_L12_ : ((op1 (e11) (e10)) = (e10)) -> ((op1 (e11) (e10)) = (e13)) -> (~((e10) = (e13))) -> False).
% 51.19/51.39 do 0 intro. intros zenon_H33 zenon_H41 zenon_H42.
% 51.19/51.39 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H3e | zenon_intro zenon_H17 ].
% 51.19/51.39 cut (((e13) = (e13)) = ((e10) = (e13))).
% 51.19/51.39 intro zenon_D_pnotp.
% 51.19/51.39 apply zenon_H42.
% 51.19/51.39 rewrite <- zenon_D_pnotp.
% 51.19/51.39 exact zenon_H3e.
% 51.19/51.39 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H17].
% 51.19/51.39 cut (((e13) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H43].
% 51.19/51.39 congruence.
% 51.19/51.39 cut (((op1 (e11) (e10)) = (e10)) = ((e13) = (e10))).
% 51.19/51.39 intro zenon_D_pnotp.
% 51.19/51.39 apply zenon_H43.
% 51.19/51.39 rewrite <- zenon_D_pnotp.
% 51.19/51.39 exact zenon_H33.
% 51.19/51.39 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H32].
% 51.19/51.39 cut (((op1 (e11) (e10)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H44].
% 51.19/51.39 congruence.
% 51.19/51.39 exact (zenon_H44 zenon_H41).
% 51.19/51.39 apply zenon_H32. apply refl_equal.
% 51.19/51.39 apply zenon_H17. apply refl_equal.
% 51.19/51.39 apply zenon_H17. apply refl_equal.
% 51.19/51.39 (* end of lemma zenon_L12_ *)
% 51.19/51.39 assert (zenon_L13_ : (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((op1 (e10) (e11)) = (e13)) -> ((op1 (e11) (e11)) = (e13)) -> False).
% 51.19/51.39 do 0 intro. intros zenon_H45 zenon_H46 zenon_H47.
% 51.19/51.39 cut (((op1 (e10) (e11)) = (e13)) = ((op1 (e10) (e11)) = (op1 (e11) (e11)))).
% 51.19/51.39 intro zenon_D_pnotp.
% 51.19/51.39 apply zenon_H45.
% 51.19/51.39 rewrite <- zenon_D_pnotp.
% 51.19/51.39 exact zenon_H46.
% 51.19/51.39 cut (((e13) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H48].
% 51.19/51.39 cut (((op1 (e10) (e11)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H20].
% 51.19/51.39 congruence.
% 51.19/51.39 apply zenon_H20. apply refl_equal.
% 51.19/51.39 apply zenon_H48. apply sym_equal. exact zenon_H47.
% 51.19/51.39 (* end of lemma zenon_L13_ *)
% 51.19/51.39 assert (zenon_L14_ : (~((e12) = (e12))) -> False).
% 51.19/51.39 do 0 intro. intros zenon_H37.
% 51.19/51.39 apply zenon_H37. apply refl_equal.
% 51.19/51.39 (* end of lemma zenon_L14_ *)
% 51.19/51.39 assert (zenon_L15_ : ((op1 (e10) (e13)) = (e12)) -> ((op1 (e10) (e13)) = (e13)) -> (~((e12) = (e13))) -> False).
% 51.19/51.39 do 0 intro. intros zenon_H49 zenon_H4a zenon_H4b.
% 51.19/51.39 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H3e | zenon_intro zenon_H17 ].
% 51.19/51.39 cut (((e13) = (e13)) = ((e12) = (e13))).
% 51.19/51.39 intro zenon_D_pnotp.
% 51.19/51.39 apply zenon_H4b.
% 51.19/51.39 rewrite <- zenon_D_pnotp.
% 51.19/51.39 exact zenon_H3e.
% 51.19/51.39 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H17].
% 51.19/51.39 cut (((e13) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H4c].
% 51.19/51.39 congruence.
% 51.19/51.39 cut (((op1 (e10) (e13)) = (e12)) = ((e13) = (e12))).
% 51.19/51.39 intro zenon_D_pnotp.
% 51.19/51.39 apply zenon_H4c.
% 51.19/51.39 rewrite <- zenon_D_pnotp.
% 51.19/51.39 exact zenon_H49.
% 51.19/51.39 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H37].
% 51.19/51.39 cut (((op1 (e10) (e13)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H4d].
% 51.19/51.39 congruence.
% 51.19/51.39 exact (zenon_H4d zenon_H4a).
% 51.19/51.39 apply zenon_H37. apply refl_equal.
% 51.19/51.39 apply zenon_H17. apply refl_equal.
% 51.19/51.39 apply zenon_H17. apply refl_equal.
% 51.19/51.39 (* end of lemma zenon_L15_ *)
% 51.19/51.39 assert (zenon_L16_ : ((op1 (e10) (e13)) = (e10)) -> ((op1 (e10) (e13)) = (e12)) -> (~((e10) = (e12))) -> False).
% 51.19/51.39 do 0 intro. intros zenon_H4e zenon_H49 zenon_H35.
% 51.19/51.39 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H36 | zenon_intro zenon_H37 ].
% 51.19/51.39 cut (((e12) = (e12)) = ((e10) = (e12))).
% 51.19/51.39 intro zenon_D_pnotp.
% 51.19/51.39 apply zenon_H35.
% 51.19/51.39 rewrite <- zenon_D_pnotp.
% 51.19/51.39 exact zenon_H36.
% 51.19/51.39 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H37].
% 51.19/51.39 cut (((e12) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H38].
% 51.19/51.39 congruence.
% 51.19/51.39 cut (((op1 (e10) (e13)) = (e10)) = ((e12) = (e10))).
% 51.19/51.39 intro zenon_D_pnotp.
% 51.19/51.39 apply zenon_H38.
% 51.19/51.39 rewrite <- zenon_D_pnotp.
% 51.19/51.39 exact zenon_H4e.
% 51.19/51.39 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H32].
% 51.19/51.39 cut (((op1 (e10) (e13)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H4f].
% 51.19/51.39 congruence.
% 51.19/51.39 exact (zenon_H4f zenon_H49).
% 51.19/51.39 apply zenon_H32. apply refl_equal.
% 51.19/51.39 apply zenon_H37. apply refl_equal.
% 51.19/51.39 apply zenon_H37. apply refl_equal.
% 51.19/51.39 (* end of lemma zenon_L16_ *)
% 51.19/51.39 assert (zenon_L17_ : ((op1 (e11) (e13)) = (e10)) -> ((op1 (e11) (e13)) = (e13)) -> (~((e10) = (e13))) -> False).
% 51.19/51.39 do 0 intro. intros zenon_H50 zenon_H51 zenon_H42.
% 51.19/51.39 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H3e | zenon_intro zenon_H17 ].
% 51.19/51.39 cut (((e13) = (e13)) = ((e10) = (e13))).
% 51.19/51.39 intro zenon_D_pnotp.
% 51.19/51.39 apply zenon_H42.
% 51.19/51.39 rewrite <- zenon_D_pnotp.
% 51.19/51.39 exact zenon_H3e.
% 51.19/51.39 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H17].
% 51.19/51.39 cut (((e13) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H43].
% 51.19/51.39 congruence.
% 51.19/51.39 cut (((op1 (e11) (e13)) = (e10)) = ((e13) = (e10))).
% 51.19/51.39 intro zenon_D_pnotp.
% 51.19/51.39 apply zenon_H43.
% 51.19/51.39 rewrite <- zenon_D_pnotp.
% 51.19/51.39 exact zenon_H50.
% 51.19/51.39 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H32].
% 51.19/51.39 cut (((op1 (e11) (e13)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H52].
% 51.19/51.39 congruence.
% 51.19/51.39 exact (zenon_H52 zenon_H51).
% 51.19/51.39 apply zenon_H32. apply refl_equal.
% 51.19/51.39 apply zenon_H17. apply refl_equal.
% 51.19/51.39 apply zenon_H17. apply refl_equal.
% 51.19/51.39 (* end of lemma zenon_L17_ *)
% 51.19/51.39 assert (zenon_L18_ : (((op1 (op1 (e11) (e10)) (op1 (e11) (e10))) = (e10))/\(((op1 (op1 (e11) (e11)) (op1 (e11) (e11))) = (e11))/\(((op1 (op1 (e11) (e12)) (op1 (e11) (e12))) = (e12))/\((op1 (op1 (e11) (e13)) (op1 (e11) (e13))) = (e13))))) -> ((op1 (e11) (e13)) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> False).
% 51.19/51.39 do 0 intro. intros zenon_H53 zenon_H51 zenon_H54.
% 51.19/51.39 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H56. zenon_intro zenon_H55.
% 51.19/51.39 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H58. zenon_intro zenon_H57.
% 51.19/51.39 apply (zenon_and_s _ _ zenon_H57). zenon_intro zenon_H5a. zenon_intro zenon_H59.
% 51.19/51.39 elim (classic ((op1 (e13) (e13)) = (op1 (e13) (e13)))); [ zenon_intro zenon_H5b | zenon_intro zenon_H5c ].
% 51.19/51.39 cut (((op1 (e13) (e13)) = (op1 (e13) (e13))) = ((op1 (e11) (e13)) = (op1 (e13) (e13)))).
% 51.19/51.39 intro zenon_D_pnotp.
% 51.19/51.39 apply zenon_H54.
% 51.19/51.39 rewrite <- zenon_D_pnotp.
% 51.19/51.39 exact zenon_H5b.
% 51.19/51.39 cut (((op1 (e13) (e13)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H5c].
% 51.19/51.39 cut (((op1 (e13) (e13)) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H5d].
% 51.19/51.39 congruence.
% 51.19/51.39 cut (((op1 (op1 (e11) (e13)) (op1 (e11) (e13))) = (e13)) = ((op1 (e13) (e13)) = (op1 (e11) (e13)))).
% 51.19/51.39 intro zenon_D_pnotp.
% 51.19/51.39 apply zenon_H5d.
% 51.19/51.39 rewrite <- zenon_D_pnotp.
% 51.19/51.39 exact zenon_H59.
% 51.19/51.39 cut (((e13) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H5e].
% 51.19/51.39 cut (((op1 (op1 (e11) (e13)) (op1 (e11) (e13))) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H5f].
% 51.19/51.39 congruence.
% 51.19/51.39 elim (classic ((op1 (e13) (e13)) = (op1 (e13) (e13)))); [ zenon_intro zenon_H5b | zenon_intro zenon_H5c ].
% 51.19/51.39 cut (((op1 (e13) (e13)) = (op1 (e13) (e13))) = ((op1 (op1 (e11) (e13)) (op1 (e11) (e13))) = (op1 (e13) (e13)))).
% 51.19/51.39 intro zenon_D_pnotp.
% 51.19/51.39 apply zenon_H5f.
% 51.19/51.39 rewrite <- zenon_D_pnotp.
% 51.19/51.39 exact zenon_H5b.
% 51.19/51.39 cut (((op1 (e13) (e13)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H5c].
% 51.19/51.39 cut (((op1 (e13) (e13)) = (op1 (op1 (e11) (e13)) (op1 (e11) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H60].
% 51.19/51.39 congruence.
% 51.19/51.39 cut (((e13) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H5e].
% 51.19/51.39 cut (((e13) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H5e].
% 51.19/51.39 congruence.
% 51.19/51.39 apply zenon_H5e. apply sym_equal. exact zenon_H51.
% 51.19/51.39 apply zenon_H5e. apply sym_equal. exact zenon_H51.
% 51.19/51.39 apply zenon_H5c. apply refl_equal.
% 51.19/51.39 apply zenon_H5c. apply refl_equal.
% 51.19/51.39 apply zenon_H5e. apply sym_equal. exact zenon_H51.
% 51.19/51.39 apply zenon_H5c. apply refl_equal.
% 51.19/51.39 apply zenon_H5c. apply refl_equal.
% 51.19/51.39 (* end of lemma zenon_L18_ *)
% 51.19/51.39 assert (zenon_L19_ : (~((op1 (e10) (e10)) = (op1 (op1 (e12) (e13)) (op1 (e12) (e13))))) -> ((op1 (e12) (e13)) = (e10)) -> False).
% 51.19/51.39 do 0 intro. intros zenon_H61 zenon_H62.
% 51.19/51.39 cut (((e10) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H63].
% 51.19/51.39 cut (((e10) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H63].
% 51.19/51.39 congruence.
% 51.19/51.39 apply zenon_H63. apply sym_equal. exact zenon_H62.
% 51.19/51.39 apply zenon_H63. apply sym_equal. exact zenon_H62.
% 51.19/51.39 (* end of lemma zenon_L19_ *)
% 51.19/51.39 assert (zenon_L20_ : (((op1 (op1 (e12) (e10)) (op1 (e12) (e10))) = (e10))/\(((op1 (op1 (e12) (e11)) (op1 (e12) (e11))) = (e11))/\(((op1 (op1 (e12) (e12)) (op1 (e12) (e12))) = (e12))/\((op1 (op1 (e12) (e13)) (op1 (e12) (e13))) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e12) (e13)) = (e10)) -> ((op1 (e13) (e10)) = (e13)) -> False).
% 51.19/51.39 do 0 intro. intros zenon_H64 zenon_H65 zenon_H62 zenon_H66.
% 51.19/51.39 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H68. zenon_intro zenon_H67.
% 51.19/51.39 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H6a. zenon_intro zenon_H69.
% 51.19/51.39 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H6c. zenon_intro zenon_H6b.
% 51.19/51.39 cut (((op1 (op1 (e12) (e13)) (op1 (e12) (e13))) = (e13)) = ((op1 (e10) (e10)) = (op1 (e13) (e10)))).
% 51.19/51.39 intro zenon_D_pnotp.
% 51.19/51.39 apply zenon_H65.
% 51.19/51.39 rewrite <- zenon_D_pnotp.
% 51.19/51.39 exact zenon_H6b.
% 51.19/51.39 cut (((e13) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H6d].
% 51.19/51.39 cut (((op1 (op1 (e12) (e13)) (op1 (e12) (e13))) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H6e].
% 51.19/51.39 congruence.
% 51.19/51.39 elim (classic ((op1 (e10) (e10)) = (op1 (e10) (e10)))); [ zenon_intro zenon_H2f | zenon_intro zenon_H30 ].
% 51.19/51.39 cut (((op1 (e10) (e10)) = (op1 (e10) (e10))) = ((op1 (op1 (e12) (e13)) (op1 (e12) (e13))) = (op1 (e10) (e10)))).
% 51.19/51.39 intro zenon_D_pnotp.
% 51.19/51.39 apply zenon_H6e.
% 51.19/51.39 rewrite <- zenon_D_pnotp.
% 51.19/51.39 exact zenon_H2f.
% 51.19/51.39 cut (((op1 (e10) (e10)) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H30].
% 51.19/51.39 cut (((op1 (e10) (e10)) = (op1 (op1 (e12) (e13)) (op1 (e12) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H61].
% 51.19/51.39 congruence.
% 51.19/51.39 apply (zenon_L19_); trivial.
% 51.19/51.39 apply zenon_H30. apply refl_equal.
% 51.19/51.39 apply zenon_H30. apply refl_equal.
% 51.19/51.39 apply zenon_H6d. apply sym_equal. exact zenon_H66.
% 51.19/51.39 (* end of lemma zenon_L20_ *)
% 51.19/51.39 assert (zenon_L21_ : (~((op1 (e11) (e11)) = (op1 (op1 (e13) (e13)) (op1 (e13) (e13))))) -> ((e11) = (op1 (e13) (e13))) -> False).
% 51.19/51.39 do 0 intro. intros zenon_H6f zenon_H19.
% 51.19/51.39 cut (((e11) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H70].
% 51.19/51.39 cut (((e11) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H70].
% 51.19/51.39 congruence.
% 51.19/51.39 exact (zenon_H70 zenon_H19).
% 51.19/51.39 exact (zenon_H70 zenon_H19).
% 51.19/51.39 (* end of lemma zenon_L21_ *)
% 51.19/51.39 assert (zenon_L22_ : (((op1 (op1 (e13) (e10)) (op1 (e13) (e10))) = (e10))/\(((op1 (op1 (e13) (e11)) (op1 (e13) (e11))) = (e11))/\(((op1 (op1 (e13) (e12)) (op1 (e13) (e12))) = (e12))/\((op1 (op1 (e13) (e13)) (op1 (e13) (e13))) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> ((op1 (e11) (e13)) = (e13)) -> False).
% 51.19/51.39 do 0 intro. intros zenon_H71 zenon_H72 zenon_H19 zenon_H51.
% 51.19/51.39 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H74. zenon_intro zenon_H73.
% 51.19/51.39 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H76. zenon_intro zenon_H75.
% 51.19/51.39 apply (zenon_and_s _ _ zenon_H75). zenon_intro zenon_H78. zenon_intro zenon_H77.
% 51.19/51.39 cut (((op1 (op1 (e13) (e13)) (op1 (e13) (e13))) = (e13)) = ((op1 (e11) (e11)) = (op1 (e11) (e13)))).
% 51.19/51.39 intro zenon_D_pnotp.
% 51.19/51.39 apply zenon_H72.
% 51.19/51.39 rewrite <- zenon_D_pnotp.
% 51.19/51.39 exact zenon_H77.
% 51.19/51.39 cut (((e13) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H5e].
% 51.19/51.39 cut (((op1 (op1 (e13) (e13)) (op1 (e13) (e13))) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H79].
% 51.19/51.39 congruence.
% 51.19/51.39 elim (classic ((op1 (e11) (e11)) = (op1 (e11) (e11)))); [ zenon_intro zenon_H7a | zenon_intro zenon_H7b ].
% 51.19/51.39 cut (((op1 (e11) (e11)) = (op1 (e11) (e11))) = ((op1 (op1 (e13) (e13)) (op1 (e13) (e13))) = (op1 (e11) (e11)))).
% 51.19/51.39 intro zenon_D_pnotp.
% 51.19/51.39 apply zenon_H79.
% 51.19/51.39 rewrite <- zenon_D_pnotp.
% 51.19/51.39 exact zenon_H7a.
% 51.19/51.39 cut (((op1 (e11) (e11)) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H7b].
% 51.19/51.39 cut (((op1 (e11) (e11)) = (op1 (op1 (e13) (e13)) (op1 (e13) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H6f].
% 51.19/51.39 congruence.
% 51.19/51.39 apply (zenon_L21_); trivial.
% 51.19/51.39 apply zenon_H7b. apply refl_equal.
% 51.19/51.39 apply zenon_H7b. apply refl_equal.
% 51.19/51.39 apply zenon_H5e. apply sym_equal. exact zenon_H51.
% 51.19/51.39 (* end of lemma zenon_L22_ *)
% 51.19/51.39 assert (zenon_L23_ : ((op1 (e12) (e10)) = (e12)) -> ((op1 (e10) (e12)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e10)) = (e13)) -> ((op1 (e12) (e13)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> ((op1 (e11) (e13)) = (e13)) -> False).
% 51.19/51.39 do 0 intro. intros zenon_H7c zenon_H22 zenon_H7d zenon_H54 zenon_H66 zenon_H62 zenon_H65 zenon_H72 zenon_H19 zenon_H51.
% 51.19/51.39 apply (zenon_or_s _ _ ax10); [ zenon_intro zenon_H7f | zenon_intro zenon_H7e ].
% 51.19/51.39 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H81. zenon_intro zenon_H80.
% 51.19/51.39 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_H83. zenon_intro zenon_H82.
% 51.19/51.39 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H85. zenon_intro zenon_H84.
% 51.19/51.39 cut (((op1 (op1 (e10) (e12)) (op1 (e10) (e12))) = (e12)) = ((op1 (e10) (e10)) = (op1 (e12) (e10)))).
% 51.19/51.39 intro zenon_D_pnotp.
% 51.19/51.39 apply zenon_H7d.
% 51.19/51.39 rewrite <- zenon_D_pnotp.
% 51.19/51.39 exact zenon_H85.
% 51.19/51.39 cut (((e12) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H86].
% 51.19/51.39 cut (((op1 (op1 (e10) (e12)) (op1 (e10) (e12))) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H87].
% 51.19/51.39 congruence.
% 51.19/51.39 elim (classic ((op1 (e10) (e10)) = (op1 (e10) (e10)))); [ zenon_intro zenon_H2f | zenon_intro zenon_H30 ].
% 51.19/51.39 cut (((op1 (e10) (e10)) = (op1 (e10) (e10))) = ((op1 (op1 (e10) (e12)) (op1 (e10) (e12))) = (op1 (e10) (e10)))).
% 51.19/51.39 intro zenon_D_pnotp.
% 51.19/51.39 apply zenon_H87.
% 51.19/51.39 rewrite <- zenon_D_pnotp.
% 51.19/51.39 exact zenon_H2f.
% 51.19/51.39 cut (((op1 (e10) (e10)) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H30].
% 51.19/51.39 cut (((op1 (e10) (e10)) = (op1 (op1 (e10) (e12)) (op1 (e10) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H88].
% 51.19/51.39 congruence.
% 51.19/51.39 cut (((e10) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H89].
% 51.19/51.39 cut (((e10) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H89].
% 51.19/51.39 congruence.
% 51.19/51.39 apply zenon_H89. apply sym_equal. exact zenon_H22.
% 51.19/51.39 apply zenon_H89. apply sym_equal. exact zenon_H22.
% 51.19/51.39 apply zenon_H30. apply refl_equal.
% 51.19/51.39 apply zenon_H30. apply refl_equal.
% 51.19/51.39 apply zenon_H86. apply sym_equal. exact zenon_H7c.
% 51.19/51.39 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H53 | zenon_intro zenon_H8a ].
% 51.19/51.39 apply (zenon_L18_); trivial.
% 51.19/51.39 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H64 | zenon_intro zenon_H71 ].
% 51.19/51.39 apply (zenon_L20_); trivial.
% 51.19/51.39 apply (zenon_L22_); trivial.
% 51.19/51.39 (* end of lemma zenon_L23_ *)
% 51.19/51.39 assert (zenon_L24_ : ((e11) = (op1 (e13) (e13))) -> ((op1 (e13) (e13)) = (e10)) -> (~((e10) = (e11))) -> False).
% 51.19/51.39 do 0 intro. intros zenon_H19 zenon_H8b zenon_H8c.
% 51.19/51.39 elim (classic ((e11) = (e11))); [ zenon_intro zenon_H8d | zenon_intro zenon_H3a ].
% 51.19/51.39 cut (((e11) = (e11)) = ((e10) = (e11))).
% 51.19/51.39 intro zenon_D_pnotp.
% 51.19/51.39 apply zenon_H8c.
% 51.19/51.39 rewrite <- zenon_D_pnotp.
% 51.19/51.39 exact zenon_H8d.
% 51.19/51.39 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H3a].
% 51.19/51.39 cut (((e11) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H8e].
% 51.19/51.39 congruence.
% 51.19/51.39 cut (((e11) = (op1 (e13) (e13))) = ((e11) = (e10))).
% 51.19/51.39 intro zenon_D_pnotp.
% 51.19/51.39 apply zenon_H8e.
% 51.19/51.39 rewrite <- zenon_D_pnotp.
% 51.19/51.39 exact zenon_H19.
% 51.19/51.39 cut (((op1 (e13) (e13)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H8f].
% 51.19/51.39 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H3a].
% 51.19/51.39 congruence.
% 51.19/51.39 apply zenon_H3a. apply refl_equal.
% 51.19/51.39 exact (zenon_H8f zenon_H8b).
% 51.19/51.39 apply zenon_H3a. apply refl_equal.
% 51.19/51.39 apply zenon_H3a. apply refl_equal.
% 51.19/51.39 (* end of lemma zenon_L24_ *)
% 51.19/51.39 assert (zenon_L25_ : (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e12))) -> ((op1 (e10) (e13)) = (e12)) -> (~((e10) = (e13))) -> ((op1 (e11) (e13)) = (e13)) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e13) (e10)) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e10) (e12)) = (e10)) -> ((op1 (e12) (e10)) = (e12)) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> False).
% 51.19/51.39 do 0 intro. intros zenon_H90 zenon_H35 zenon_H49 zenon_H42 zenon_H51 zenon_H72 zenon_H65 zenon_H66 zenon_H54 zenon_H7d zenon_H22 zenon_H7c zenon_H19 zenon_H8c.
% 51.19/51.39 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H4e | zenon_intro zenon_H91 ].
% 51.19/51.39 apply (zenon_L16_); trivial.
% 51.19/51.39 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H50 | zenon_intro zenon_H92 ].
% 51.19/51.39 apply (zenon_L17_); trivial.
% 51.19/51.39 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H62 | zenon_intro zenon_H8b ].
% 51.19/51.39 apply (zenon_L23_); trivial.
% 51.19/51.39 apply (zenon_L24_); trivial.
% 51.19/51.39 (* end of lemma zenon_L25_ *)
% 51.19/51.39 assert (zenon_L26_ : (~((op1 (e12) (e12)) = (op1 (op1 (e10) (e13)) (op1 (e10) (e13))))) -> ((op1 (e10) (e13)) = (e12)) -> False).
% 51.19/51.39 do 0 intro. intros zenon_H93 zenon_H49.
% 51.19/51.39 cut (((e12) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H94].
% 51.19/51.39 cut (((e12) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H94].
% 51.19/51.39 congruence.
% 51.19/51.39 apply zenon_H94. apply sym_equal. exact zenon_H49.
% 51.19/51.39 apply zenon_H94. apply sym_equal. exact zenon_H49.
% 51.19/51.39 (* end of lemma zenon_L26_ *)
% 51.19/51.39 assert (zenon_L27_ : (((op1 (op1 (e10) (e10)) (op1 (e10) (e10))) = (e10))/\(((op1 (op1 (e10) (e11)) (op1 (e10) (e11))) = (e11))/\(((op1 (op1 (e10) (e12)) (op1 (e10) (e12))) = (e12))/\((op1 (op1 (e10) (e13)) (op1 (e10) (e13))) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> ((op1 (e12) (e13)) = (e13)) -> False).
% 51.19/51.39 do 0 intro. intros zenon_H7f zenon_H95 zenon_H49 zenon_H96.
% 51.19/51.39 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H81. zenon_intro zenon_H80.
% 51.19/51.39 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_H83. zenon_intro zenon_H82.
% 51.19/51.39 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H85. zenon_intro zenon_H84.
% 51.19/51.39 cut (((op1 (op1 (e10) (e13)) (op1 (e10) (e13))) = (e13)) = ((op1 (e12) (e12)) = (op1 (e12) (e13)))).
% 51.19/51.39 intro zenon_D_pnotp.
% 51.19/51.39 apply zenon_H95.
% 51.19/51.39 rewrite <- zenon_D_pnotp.
% 51.19/51.39 exact zenon_H84.
% 51.19/51.39 cut (((e13) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H97].
% 51.19/51.39 cut (((op1 (op1 (e10) (e13)) (op1 (e10) (e13))) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H98].
% 51.19/51.39 congruence.
% 51.19/51.39 elim (classic ((op1 (e12) (e12)) = (op1 (e12) (e12)))); [ zenon_intro zenon_H99 | zenon_intro zenon_H9a ].
% 51.19/51.39 cut (((op1 (e12) (e12)) = (op1 (e12) (e12))) = ((op1 (op1 (e10) (e13)) (op1 (e10) (e13))) = (op1 (e12) (e12)))).
% 51.19/51.39 intro zenon_D_pnotp.
% 51.19/51.39 apply zenon_H98.
% 51.19/51.39 rewrite <- zenon_D_pnotp.
% 51.19/51.39 exact zenon_H99.
% 51.19/51.39 cut (((op1 (e12) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H9a].
% 51.19/51.39 cut (((op1 (e12) (e12)) = (op1 (op1 (e10) (e13)) (op1 (e10) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H93].
% 51.19/51.39 congruence.
% 51.19/51.39 apply (zenon_L26_); trivial.
% 51.19/51.39 apply zenon_H9a. apply refl_equal.
% 51.19/51.39 apply zenon_H9a. apply refl_equal.
% 51.19/51.39 apply zenon_H97. apply sym_equal. exact zenon_H96.
% 51.19/51.39 (* end of lemma zenon_L27_ *)
% 51.19/51.39 assert (zenon_L28_ : (~((op1 (e10) (e10)) = (op1 (op1 (e11) (e13)) (op1 (e11) (e13))))) -> ((op1 (e11) (e13)) = (e10)) -> False).
% 51.19/51.39 do 0 intro. intros zenon_H9b zenon_H50.
% 51.19/51.39 cut (((e10) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H9c].
% 51.19/51.39 cut (((e10) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H9c].
% 51.19/51.39 congruence.
% 51.19/51.39 apply zenon_H9c. apply sym_equal. exact zenon_H50.
% 51.19/51.39 apply zenon_H9c. apply sym_equal. exact zenon_H50.
% 51.19/51.39 (* end of lemma zenon_L28_ *)
% 51.19/51.39 assert (zenon_L29_ : (((op1 (op1 (e11) (e10)) (op1 (e11) (e10))) = (e10))/\(((op1 (op1 (e11) (e11)) (op1 (e11) (e11))) = (e11))/\(((op1 (op1 (e11) (e12)) (op1 (e11) (e12))) = (e12))/\((op1 (op1 (e11) (e13)) (op1 (e11) (e13))) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e11) (e13)) = (e10)) -> ((op1 (e13) (e10)) = (e13)) -> False).
% 51.19/51.39 do 0 intro. intros zenon_H53 zenon_H65 zenon_H50 zenon_H66.
% 51.19/51.39 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H56. zenon_intro zenon_H55.
% 51.19/51.39 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H58. zenon_intro zenon_H57.
% 51.19/51.39 apply (zenon_and_s _ _ zenon_H57). zenon_intro zenon_H5a. zenon_intro zenon_H59.
% 51.19/51.39 cut (((op1 (op1 (e11) (e13)) (op1 (e11) (e13))) = (e13)) = ((op1 (e10) (e10)) = (op1 (e13) (e10)))).
% 51.19/51.39 intro zenon_D_pnotp.
% 51.19/51.39 apply zenon_H65.
% 51.19/51.39 rewrite <- zenon_D_pnotp.
% 51.19/51.39 exact zenon_H59.
% 51.19/51.39 cut (((e13) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H6d].
% 51.19/51.39 cut (((op1 (op1 (e11) (e13)) (op1 (e11) (e13))) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H9d].
% 51.19/51.39 congruence.
% 51.19/51.39 elim (classic ((op1 (e10) (e10)) = (op1 (e10) (e10)))); [ zenon_intro zenon_H2f | zenon_intro zenon_H30 ].
% 51.19/51.39 cut (((op1 (e10) (e10)) = (op1 (e10) (e10))) = ((op1 (op1 (e11) (e13)) (op1 (e11) (e13))) = (op1 (e10) (e10)))).
% 51.19/51.39 intro zenon_D_pnotp.
% 51.19/51.39 apply zenon_H9d.
% 51.19/51.39 rewrite <- zenon_D_pnotp.
% 51.19/51.39 exact zenon_H2f.
% 51.19/51.39 cut (((op1 (e10) (e10)) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H30].
% 51.19/51.39 cut (((op1 (e10) (e10)) = (op1 (op1 (e11) (e13)) (op1 (e11) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H9b].
% 51.19/51.39 congruence.
% 51.19/51.39 apply (zenon_L28_); trivial.
% 51.19/51.39 apply zenon_H30. apply refl_equal.
% 51.19/51.39 apply zenon_H30. apply refl_equal.
% 51.19/51.39 apply zenon_H6d. apply sym_equal. exact zenon_H66.
% 51.19/51.39 (* end of lemma zenon_L29_ *)
% 51.19/51.39 assert (zenon_L30_ : (((op1 (op1 (e12) (e10)) (op1 (e12) (e10))) = (e10))/\(((op1 (op1 (e12) (e11)) (op1 (e12) (e11))) = (e11))/\(((op1 (op1 (e12) (e12)) (op1 (e12) (e12))) = (e12))/\((op1 (op1 (e12) (e13)) (op1 (e12) (e13))) = (e13))))) -> ((op1 (e12) (e13)) = (e13)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> False).
% 51.19/51.39 do 0 intro. intros zenon_H64 zenon_H96 zenon_H9e.
% 51.19/51.39 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H68. zenon_intro zenon_H67.
% 51.19/51.39 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H6a. zenon_intro zenon_H69.
% 51.19/51.39 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H6c. zenon_intro zenon_H6b.
% 51.19/51.39 elim (classic ((op1 (e13) (e13)) = (op1 (e13) (e13)))); [ zenon_intro zenon_H5b | zenon_intro zenon_H5c ].
% 51.19/51.39 cut (((op1 (e13) (e13)) = (op1 (e13) (e13))) = ((op1 (e12) (e13)) = (op1 (e13) (e13)))).
% 51.19/51.39 intro zenon_D_pnotp.
% 51.19/51.39 apply zenon_H9e.
% 51.19/51.39 rewrite <- zenon_D_pnotp.
% 51.19/51.39 exact zenon_H5b.
% 51.19/51.39 cut (((op1 (e13) (e13)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H5c].
% 51.19/51.39 cut (((op1 (e13) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H9f].
% 51.19/51.39 congruence.
% 51.19/51.39 cut (((op1 (op1 (e12) (e13)) (op1 (e12) (e13))) = (e13)) = ((op1 (e13) (e13)) = (op1 (e12) (e13)))).
% 51.19/51.39 intro zenon_D_pnotp.
% 51.19/51.39 apply zenon_H9f.
% 51.19/51.39 rewrite <- zenon_D_pnotp.
% 51.19/51.39 exact zenon_H6b.
% 51.19/51.39 cut (((e13) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H97].
% 51.19/51.39 cut (((op1 (op1 (e12) (e13)) (op1 (e12) (e13))) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Ha0].
% 51.19/51.39 congruence.
% 51.19/51.39 elim (classic ((op1 (e13) (e13)) = (op1 (e13) (e13)))); [ zenon_intro zenon_H5b | zenon_intro zenon_H5c ].
% 51.19/51.39 cut (((op1 (e13) (e13)) = (op1 (e13) (e13))) = ((op1 (op1 (e12) (e13)) (op1 (e12) (e13))) = (op1 (e13) (e13)))).
% 51.19/51.39 intro zenon_D_pnotp.
% 51.19/51.39 apply zenon_Ha0.
% 51.19/51.39 rewrite <- zenon_D_pnotp.
% 51.19/51.39 exact zenon_H5b.
% 51.19/51.39 cut (((op1 (e13) (e13)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H5c].
% 51.19/51.39 cut (((op1 (e13) (e13)) = (op1 (op1 (e12) (e13)) (op1 (e12) (e13))))); [idtac | apply NNPP; zenon_intro zenon_Ha1].
% 51.19/51.39 congruence.
% 51.19/51.39 cut (((e13) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H97].
% 51.19/51.39 cut (((e13) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H97].
% 51.19/51.39 congruence.
% 51.19/51.39 apply zenon_H97. apply sym_equal. exact zenon_H96.
% 51.19/51.39 apply zenon_H97. apply sym_equal. exact zenon_H96.
% 51.19/51.39 apply zenon_H5c. apply refl_equal.
% 51.19/51.39 apply zenon_H5c. apply refl_equal.
% 51.19/51.39 apply zenon_H97. apply sym_equal. exact zenon_H96.
% 51.19/51.39 apply zenon_H5c. apply refl_equal.
% 51.19/51.39 apply zenon_H5c. apply refl_equal.
% 51.19/51.39 (* end of lemma zenon_L30_ *)
% 51.19/51.39 assert (zenon_L31_ : (((op1 (op1 (e13) (e10)) (op1 (e13) (e10))) = (e10))/\(((op1 (op1 (e13) (e11)) (op1 (e13) (e11))) = (e11))/\(((op1 (op1 (e13) (e12)) (op1 (e13) (e12))) = (e12))/\((op1 (op1 (e13) (e13)) (op1 (e13) (e13))) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> ((e11) = (op1 (e13) (e13))) -> ((op1 (e11) (e12)) = (e13)) -> False).
% 51.19/51.39 do 0 intro. intros zenon_H71 zenon_Ha2 zenon_H19 zenon_Ha3.
% 51.19/51.39 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H74. zenon_intro zenon_H73.
% 51.19/51.39 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H76. zenon_intro zenon_H75.
% 51.19/51.39 apply (zenon_and_s _ _ zenon_H75). zenon_intro zenon_H78. zenon_intro zenon_H77.
% 51.19/51.39 cut (((op1 (op1 (e13) (e13)) (op1 (e13) (e13))) = (e13)) = ((op1 (e11) (e11)) = (op1 (e11) (e12)))).
% 51.19/51.39 intro zenon_D_pnotp.
% 51.19/51.39 apply zenon_Ha2.
% 51.19/51.39 rewrite <- zenon_D_pnotp.
% 51.19/51.39 exact zenon_H77.
% 51.19/51.39 cut (((e13) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_Ha4].
% 51.19/51.39 cut (((op1 (op1 (e13) (e13)) (op1 (e13) (e13))) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H79].
% 51.19/51.39 congruence.
% 51.19/51.39 elim (classic ((op1 (e11) (e11)) = (op1 (e11) (e11)))); [ zenon_intro zenon_H7a | zenon_intro zenon_H7b ].
% 51.19/51.39 cut (((op1 (e11) (e11)) = (op1 (e11) (e11))) = ((op1 (op1 (e13) (e13)) (op1 (e13) (e13))) = (op1 (e11) (e11)))).
% 51.19/51.39 intro zenon_D_pnotp.
% 51.19/51.39 apply zenon_H79.
% 51.19/51.39 rewrite <- zenon_D_pnotp.
% 51.19/51.39 exact zenon_H7a.
% 51.19/51.39 cut (((op1 (e11) (e11)) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H7b].
% 51.19/51.39 cut (((op1 (e11) (e11)) = (op1 (op1 (e13) (e13)) (op1 (e13) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H6f].
% 51.19/51.39 congruence.
% 51.19/51.39 apply (zenon_L21_); trivial.
% 51.19/51.39 apply zenon_H7b. apply refl_equal.
% 51.19/51.39 apply zenon_H7b. apply refl_equal.
% 51.19/51.39 apply zenon_Ha4. apply sym_equal. exact zenon_Ha3.
% 51.19/51.39 (* end of lemma zenon_L31_ *)
% 51.19/51.39 assert (zenon_L32_ : ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (e13) (e10)) = (e13)) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e12) (e13)) = (e13)) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> ((e11) = (op1 (e13) (e13))) -> ((op1 (e11) (e12)) = (e13)) -> False).
% 51.19/51.39 do 0 intro. intros zenon_H49 zenon_H95 zenon_H66 zenon_H50 zenon_H65 zenon_H9e zenon_H96 zenon_Ha2 zenon_H19 zenon_Ha3.
% 51.19/51.39 apply (zenon_or_s _ _ ax10); [ zenon_intro zenon_H7f | zenon_intro zenon_H7e ].
% 51.19/51.39 apply (zenon_L27_); trivial.
% 51.19/51.39 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H53 | zenon_intro zenon_H8a ].
% 51.19/51.39 apply (zenon_L29_); trivial.
% 51.19/51.39 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H64 | zenon_intro zenon_H71 ].
% 51.19/51.39 apply (zenon_L30_); trivial.
% 51.19/51.39 apply (zenon_L31_); trivial.
% 51.19/51.39 (* end of lemma zenon_L32_ *)
% 51.19/51.39 assert (zenon_L33_ : (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> ((op1 (e11) (e13)) = (e11)) -> False).
% 51.19/51.39 do 0 intro. intros zenon_H54 zenon_H19 zenon_Ha5.
% 51.19/51.39 cut (((e11) = (op1 (e13) (e13))) = ((op1 (e11) (e13)) = (op1 (e13) (e13)))).
% 51.19/51.39 intro zenon_D_pnotp.
% 51.19/51.39 apply zenon_H54.
% 51.19/51.39 rewrite <- zenon_D_pnotp.
% 51.19/51.39 exact zenon_H19.
% 51.19/51.39 cut (((op1 (e13) (e13)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H5c].
% 51.19/51.39 cut (((e11) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Ha6].
% 51.19/51.39 congruence.
% 51.19/51.39 elim (classic ((op1 (e11) (e13)) = (op1 (e11) (e13)))); [ zenon_intro zenon_Ha7 | zenon_intro zenon_Ha8 ].
% 51.19/51.39 cut (((op1 (e11) (e13)) = (op1 (e11) (e13))) = ((e11) = (op1 (e11) (e13)))).
% 51.19/51.39 intro zenon_D_pnotp.
% 51.19/51.39 apply zenon_Ha6.
% 51.19/51.39 rewrite <- zenon_D_pnotp.
% 51.19/51.39 exact zenon_Ha7.
% 51.19/51.39 cut (((op1 (e11) (e13)) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Ha8].
% 51.19/51.39 cut (((op1 (e11) (e13)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_Ha9].
% 51.19/51.39 congruence.
% 51.19/51.39 exact (zenon_Ha9 zenon_Ha5).
% 51.19/51.39 apply zenon_Ha8. apply refl_equal.
% 51.19/51.39 apply zenon_Ha8. apply refl_equal.
% 51.19/51.39 apply zenon_H5c. apply refl_equal.
% 51.19/51.39 (* end of lemma zenon_L33_ *)
% 51.19/51.39 assert (zenon_L34_ : ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((op1 (e11) (e13)) = (e12)) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> False).
% 51.19/51.39 do 0 intro. intros zenon_H2c zenon_Haa zenon_H1c zenon_Hab.
% 51.19/51.39 elim (classic ((op1 (e11) (e13)) = (op1 (e11) (e13)))); [ zenon_intro zenon_Ha7 | zenon_intro zenon_Ha8 ].
% 51.19/51.39 cut (((op1 (e11) (e13)) = (op1 (e11) (e13))) = ((op1 (e10) (e13)) = (op1 (e11) (e13)))).
% 51.19/51.39 intro zenon_D_pnotp.
% 51.19/51.39 apply zenon_Hab.
% 51.19/51.39 rewrite <- zenon_D_pnotp.
% 51.19/51.39 exact zenon_Ha7.
% 51.19/51.39 cut (((op1 (e11) (e13)) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Ha8].
% 51.19/51.39 cut (((op1 (e11) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Hac].
% 51.19/51.39 congruence.
% 51.19/51.39 cut (((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) = ((op1 (e11) (e13)) = (op1 (e10) (e13)))).
% 51.19/51.39 intro zenon_D_pnotp.
% 51.19/51.39 apply zenon_Hac.
% 51.19/51.39 rewrite <- zenon_D_pnotp.
% 51.19/51.39 exact zenon_H2c.
% 51.19/51.39 cut (((op1 (op1 (e13) (op1 (e13) (e13))) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H29].
% 51.19/51.39 cut (((e12) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Had].
% 51.19/51.39 congruence.
% 51.19/51.39 elim (classic ((op1 (e11) (e13)) = (op1 (e11) (e13)))); [ zenon_intro zenon_Ha7 | zenon_intro zenon_Ha8 ].
% 51.19/51.39 cut (((op1 (e11) (e13)) = (op1 (e11) (e13))) = ((e12) = (op1 (e11) (e13)))).
% 51.19/51.39 intro zenon_D_pnotp.
% 51.19/51.39 apply zenon_Had.
% 51.19/51.39 rewrite <- zenon_D_pnotp.
% 51.19/51.39 exact zenon_Ha7.
% 51.19/51.39 cut (((op1 (e11) (e13)) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Ha8].
% 51.19/51.39 cut (((op1 (e11) (e13)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Hae].
% 51.19/51.39 congruence.
% 51.19/51.39 exact (zenon_Hae zenon_Haa).
% 51.19/51.39 apply zenon_Ha8. apply refl_equal.
% 51.19/51.39 apply zenon_Ha8. apply refl_equal.
% 51.19/51.39 apply (zenon_L6_); trivial.
% 51.19/51.39 apply zenon_Ha8. apply refl_equal.
% 51.19/51.39 apply zenon_Ha8. apply refl_equal.
% 51.19/51.39 (* end of lemma zenon_L34_ *)
% 51.19/51.39 assert (zenon_L35_ : (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e13)) = (e13)) -> ((op1 (e12) (e13)) = (e13)) -> False).
% 51.19/51.39 do 0 intro. intros zenon_Haf zenon_H51 zenon_H96.
% 51.19/51.39 cut (((op1 (e11) (e13)) = (e13)) = ((op1 (e11) (e13)) = (op1 (e12) (e13)))).
% 51.19/51.39 intro zenon_D_pnotp.
% 51.19/51.39 apply zenon_Haf.
% 51.19/51.39 rewrite <- zenon_D_pnotp.
% 51.19/51.39 exact zenon_H51.
% 51.19/51.39 cut (((e13) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H97].
% 51.19/51.39 cut (((op1 (e11) (e13)) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Ha8].
% 51.19/51.39 congruence.
% 51.19/51.39 apply zenon_Ha8. apply refl_equal.
% 51.19/51.39 apply zenon_H97. apply sym_equal. exact zenon_H96.
% 51.19/51.39 (* end of lemma zenon_L35_ *)
% 51.19/51.39 assert (zenon_L36_ : (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> ((op1 (e11) (e12)) = (e13)) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e13) (e10)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e12) (e13)) = (e13)) -> False).
% 51.19/51.39 do 0 intro. intros zenon_Hb0 zenon_Ha3 zenon_Ha2 zenon_H9e zenon_H65 zenon_H66 zenon_H95 zenon_H49 zenon_H19 zenon_H54 zenon_Hab zenon_H1c zenon_H2c zenon_Haf zenon_H96.
% 51.19/51.39 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H50 | zenon_intro zenon_Hb1 ].
% 51.19/51.39 apply (zenon_L32_); trivial.
% 51.19/51.39 apply (zenon_or_s _ _ zenon_Hb1); [ zenon_intro zenon_Ha5 | zenon_intro zenon_Hb2 ].
% 51.19/51.39 apply (zenon_L33_); trivial.
% 51.19/51.39 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_Haa | zenon_intro zenon_H51 ].
% 51.19/51.39 apply (zenon_L34_); trivial.
% 51.19/51.39 apply (zenon_L35_); trivial.
% 51.19/51.39 (* end of lemma zenon_L36_ *)
% 51.19/51.39 assert (zenon_L37_ : (~((e11) = (e13))) -> ((e11) = (op1 (e13) (e13))) -> ((op1 (e13) (e13)) = (e13)) -> False).
% 51.19/51.39 do 0 intro. intros zenon_H3d zenon_H19 zenon_Hb3.
% 51.19/51.39 cut (((e11) = (op1 (e13) (e13))) = ((e11) = (e13))).
% 51.19/51.39 intro zenon_D_pnotp.
% 51.19/51.39 apply zenon_H3d.
% 51.19/51.39 rewrite <- zenon_D_pnotp.
% 51.19/51.39 exact zenon_H19.
% 51.19/51.39 cut (((op1 (e13) (e13)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_Hb4].
% 51.19/51.39 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H3a].
% 51.19/51.39 congruence.
% 51.19/51.39 apply zenon_H3a. apply refl_equal.
% 51.19/51.39 exact (zenon_Hb4 zenon_Hb3).
% 51.19/51.39 (* end of lemma zenon_L37_ *)
% 51.19/51.39 assert (zenon_L38_ : (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((e10) = (e11))) -> ((op1 (e12) (e10)) = (e12)) -> ((op1 (e10) (e12)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((e10) = (e13))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (e13) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> ((op1 (e11) (e12)) = (e13)) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((e11) = (e13))) -> ((e11) = (op1 (e13) (e13))) -> False).
% 51.19/51.39 do 0 intro. intros zenon_Hb5 zenon_H4b zenon_H8c zenon_H7c zenon_H22 zenon_H7d zenon_H72 zenon_H42 zenon_H35 zenon_H90 zenon_Haf zenon_H2c zenon_H1c zenon_Hab zenon_H54 zenon_H49 zenon_H95 zenon_H66 zenon_H65 zenon_H9e zenon_Ha2 zenon_Ha3 zenon_Hb0 zenon_H3d zenon_H19.
% 51.19/51.39 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H4a | zenon_intro zenon_Hb6 ].
% 51.19/51.39 apply (zenon_L15_); trivial.
% 51.19/51.39 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H51 | zenon_intro zenon_Hb7 ].
% 51.19/51.39 apply (zenon_L25_); trivial.
% 51.19/51.39 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb3 ].
% 51.19/51.39 apply (zenon_L36_); trivial.
% 51.19/51.39 apply (zenon_L37_); trivial.
% 51.19/51.39 (* end of lemma zenon_L38_ *)
% 51.19/51.39 assert (zenon_L39_ : (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((op1 (e13) (e10)) = (e10)) -> ((e11) = (op1 (e13) (e13))) -> False).
% 51.19/51.39 do 0 intro. intros zenon_Hb8 zenon_H1c zenon_Hb9 zenon_H19.
% 51.19/51.39 cut (((e10) = (op1 (e13) (op1 (e13) (e13)))) = ((op1 (e13) (e10)) = (op1 (e13) (e11)))).
% 51.19/51.39 intro zenon_D_pnotp.
% 51.19/51.39 apply zenon_Hb8.
% 51.19/51.39 rewrite <- zenon_D_pnotp.
% 51.19/51.39 exact zenon_H1c.
% 51.19/51.39 cut (((op1 (e13) (op1 (e13) (e13))) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H18].
% 51.19/51.39 cut (((e10) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_Hba].
% 51.19/51.39 congruence.
% 51.19/51.39 elim (classic ((op1 (e13) (e10)) = (op1 (e13) (e10)))); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hbc ].
% 51.19/51.39 cut (((op1 (e13) (e10)) = (op1 (e13) (e10))) = ((e10) = (op1 (e13) (e10)))).
% 51.19/51.39 intro zenon_D_pnotp.
% 51.19/51.39 apply zenon_Hba.
% 51.19/51.39 rewrite <- zenon_D_pnotp.
% 51.19/51.39 exact zenon_Hbb.
% 51.19/51.39 cut (((op1 (e13) (e10)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_Hbc].
% 51.19/51.39 cut (((op1 (e13) (e10)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_Hbd].
% 51.19/51.39 congruence.
% 51.19/51.39 exact (zenon_Hbd zenon_Hb9).
% 51.19/51.39 apply zenon_Hbc. apply refl_equal.
% 51.19/51.39 apply zenon_Hbc. apply refl_equal.
% 51.19/51.39 apply (zenon_L3_); trivial.
% 51.19/51.39 (* end of lemma zenon_L39_ *)
% 51.19/51.39 assert (zenon_L40_ : ((op1 (e13) (e11)) = (e10)) -> ((op1 (e13) (e11)) = (e13)) -> (~((e10) = (e13))) -> False).
% 51.19/51.39 do 0 intro. intros zenon_Hbe zenon_Hbf zenon_H42.
% 51.19/51.39 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H3e | zenon_intro zenon_H17 ].
% 51.19/51.39 cut (((e13) = (e13)) = ((e10) = (e13))).
% 51.19/51.39 intro zenon_D_pnotp.
% 51.19/51.39 apply zenon_H42.
% 51.19/51.39 rewrite <- zenon_D_pnotp.
% 51.19/51.39 exact zenon_H3e.
% 51.19/51.39 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H17].
% 51.19/51.39 cut (((e13) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H43].
% 51.19/51.39 congruence.
% 51.19/51.39 cut (((op1 (e13) (e11)) = (e10)) = ((e13) = (e10))).
% 51.19/51.39 intro zenon_D_pnotp.
% 51.19/51.39 apply zenon_H43.
% 51.19/51.39 rewrite <- zenon_D_pnotp.
% 51.19/51.39 exact zenon_Hbe.
% 51.19/51.39 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H32].
% 51.19/51.39 cut (((op1 (e13) (e11)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_Hc0].
% 51.19/51.39 congruence.
% 51.19/51.39 exact (zenon_Hc0 zenon_Hbf).
% 51.19/51.39 apply zenon_H32. apply refl_equal.
% 51.19/51.39 apply zenon_H17. apply refl_equal.
% 51.19/51.39 apply zenon_H17. apply refl_equal.
% 51.19/51.39 (* end of lemma zenon_L40_ *)
% 51.19/51.39 assert (zenon_L41_ : ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((op1 (e13) (e12)) = (e10)) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False).
% 51.19/51.39 do 0 intro. intros zenon_H1c zenon_Hc1 zenon_H19 zenon_Hc2.
% 51.19/51.39 elim (classic ((op1 (e13) (e12)) = (op1 (e13) (e12)))); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hc4 ].
% 51.19/51.39 cut (((op1 (e13) (e12)) = (op1 (e13) (e12))) = ((op1 (e13) (e11)) = (op1 (e13) (e12)))).
% 51.19/51.39 intro zenon_D_pnotp.
% 51.19/51.39 apply zenon_Hc2.
% 51.19/51.39 rewrite <- zenon_D_pnotp.
% 51.19/51.39 exact zenon_Hc3.
% 51.19/51.39 cut (((op1 (e13) (e12)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_Hc4].
% 51.19/51.39 cut (((op1 (e13) (e12)) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_Hc5].
% 51.19/51.39 congruence.
% 51.19/51.39 cut (((e10) = (op1 (e13) (op1 (e13) (e13)))) = ((op1 (e13) (e12)) = (op1 (e13) (e11)))).
% 51.19/51.39 intro zenon_D_pnotp.
% 51.19/51.39 apply zenon_Hc5.
% 51.19/51.39 rewrite <- zenon_D_pnotp.
% 51.19/51.39 exact zenon_H1c.
% 51.19/51.39 cut (((op1 (e13) (op1 (e13) (e13))) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H18].
% 51.19/51.39 cut (((e10) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_Hc6].
% 51.19/51.39 congruence.
% 51.19/51.39 elim (classic ((op1 (e13) (e12)) = (op1 (e13) (e12)))); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hc4 ].
% 51.19/51.39 cut (((op1 (e13) (e12)) = (op1 (e13) (e12))) = ((e10) = (op1 (e13) (e12)))).
% 51.19/51.39 intro zenon_D_pnotp.
% 51.19/51.39 apply zenon_Hc6.
% 51.19/51.39 rewrite <- zenon_D_pnotp.
% 51.19/51.39 exact zenon_Hc3.
% 51.19/51.39 cut (((op1 (e13) (e12)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_Hc4].
% 51.19/51.39 cut (((op1 (e13) (e12)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_Hc7].
% 51.19/51.39 congruence.
% 51.19/51.39 exact (zenon_Hc7 zenon_Hc1).
% 51.19/51.39 apply zenon_Hc4. apply refl_equal.
% 51.19/51.39 apply zenon_Hc4. apply refl_equal.
% 51.19/51.39 apply (zenon_L3_); trivial.
% 51.19/51.39 apply zenon_Hc4. apply refl_equal.
% 51.19/51.39 apply zenon_Hc4. apply refl_equal.
% 51.19/51.39 (* end of lemma zenon_L41_ *)
% 51.19/51.39 assert (zenon_L42_ : (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e13))) -> ((op1 (e13) (e11)) = (e13)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> False).
% 51.19/51.39 do 0 intro. intros zenon_Hc8 zenon_Hb8 zenon_H42 zenon_Hbf zenon_Hc2 zenon_H1c zenon_H19 zenon_H8c.
% 51.19/51.39 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hc9 ].
% 51.19/51.39 apply (zenon_L39_); trivial.
% 51.19/51.39 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hca ].
% 51.19/51.39 apply (zenon_L40_); trivial.
% 51.19/51.39 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H8b ].
% 51.19/51.39 apply (zenon_L41_); trivial.
% 51.19/51.39 apply (zenon_L24_); trivial.
% 51.19/51.39 (* end of lemma zenon_L42_ *)
% 51.19/51.39 assert (zenon_L43_ : (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e12)) = (e13)) -> ((op1 (e13) (e12)) = (e13)) -> False).
% 51.19/51.39 do 0 intro. intros zenon_Hcb zenon_Ha3 zenon_Hcc.
% 51.19/51.39 cut (((op1 (e11) (e12)) = (e13)) = ((op1 (e11) (e12)) = (op1 (e13) (e12)))).
% 51.19/51.39 intro zenon_D_pnotp.
% 51.19/51.39 apply zenon_Hcb.
% 51.19/51.39 rewrite <- zenon_D_pnotp.
% 51.19/51.39 exact zenon_Ha3.
% 51.19/51.39 cut (((e13) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_Hcd].
% 51.19/51.39 cut (((op1 (e11) (e12)) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_Hce].
% 51.19/51.39 congruence.
% 51.19/51.39 apply zenon_Hce. apply refl_equal.
% 51.19/51.39 apply zenon_Hcd. apply sym_equal. exact zenon_Hcc.
% 51.19/51.39 (* end of lemma zenon_L43_ *)
% 51.19/51.39 assert (zenon_L44_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e10) (e12)) = (e10)) -> ((op1 (e12) (e10)) = (e12)) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e11))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e10) = (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op1 (e11) (e12)) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e13))) -> ((e11) = (op1 (e13) (e13))) -> False).
% 51.19/51.39 do 0 intro. intros zenon_Hcf zenon_Hb0 zenon_Ha2 zenon_H9e zenon_H65 zenon_H95 zenon_H49 zenon_H54 zenon_Hab zenon_H2c zenon_Haf zenon_H90 zenon_H35 zenon_H72 zenon_H7d zenon_H22 zenon_H7c zenon_H4b zenon_Hb5 zenon_H8c zenon_H1c zenon_Hc2 zenon_H42 zenon_Hb8 zenon_Hc8 zenon_Ha3 zenon_Hcb zenon_H3d zenon_H19.
% 51.19/51.39 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H66 | zenon_intro zenon_Hd0 ].
% 51.19/51.39 apply (zenon_L38_); trivial.
% 51.19/51.39 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hd1 ].
% 51.19/51.39 apply (zenon_L42_); trivial.
% 51.19/51.39 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hb3 ].
% 51.19/51.39 apply (zenon_L43_); trivial.
% 51.19/51.39 apply (zenon_L37_); trivial.
% 51.19/51.39 (* end of lemma zenon_L44_ *)
% 51.19/51.39 assert (zenon_L45_ : ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((op1 (e12) (e13)) = (e12)) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> False).
% 51.19/51.39 do 0 intro. intros zenon_H2c zenon_Hd2 zenon_H1c zenon_Hd3.
% 51.19/51.39 elim (classic ((op1 (e12) (e13)) = (op1 (e12) (e13)))); [ zenon_intro zenon_Hd4 | zenon_intro zenon_Hd5 ].
% 51.19/51.39 cut (((op1 (e12) (e13)) = (op1 (e12) (e13))) = ((op1 (e10) (e13)) = (op1 (e12) (e13)))).
% 51.19/51.39 intro zenon_D_pnotp.
% 51.19/51.39 apply zenon_Hd3.
% 51.19/51.39 rewrite <- zenon_D_pnotp.
% 51.19/51.39 exact zenon_Hd4.
% 51.19/51.39 cut (((op1 (e12) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Hd5].
% 51.19/51.39 cut (((op1 (e12) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Hd6].
% 51.19/51.39 congruence.
% 51.19/51.39 cut (((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) = ((op1 (e12) (e13)) = (op1 (e10) (e13)))).
% 51.19/51.39 intro zenon_D_pnotp.
% 51.19/51.39 apply zenon_Hd6.
% 51.19/51.39 rewrite <- zenon_D_pnotp.
% 51.19/51.39 exact zenon_H2c.
% 51.19/51.39 cut (((op1 (op1 (e13) (op1 (e13) (e13))) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H29].
% 51.19/51.39 cut (((e12) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Hd7].
% 51.19/51.39 congruence.
% 51.19/51.39 elim (classic ((op1 (e12) (e13)) = (op1 (e12) (e13)))); [ zenon_intro zenon_Hd4 | zenon_intro zenon_Hd5 ].
% 51.19/51.39 cut (((op1 (e12) (e13)) = (op1 (e12) (e13))) = ((e12) = (op1 (e12) (e13)))).
% 51.19/51.39 intro zenon_D_pnotp.
% 51.19/51.39 apply zenon_Hd7.
% 51.19/51.39 rewrite <- zenon_D_pnotp.
% 51.19/51.39 exact zenon_Hd4.
% 51.19/51.39 cut (((op1 (e12) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Hd5].
% 51.19/51.39 cut (((op1 (e12) (e13)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Hd8].
% 51.19/51.39 congruence.
% 51.19/51.39 exact (zenon_Hd8 zenon_Hd2).
% 51.19/51.39 apply zenon_Hd5. apply refl_equal.
% 51.19/51.39 apply zenon_Hd5. apply refl_equal.
% 51.19/51.39 apply (zenon_L6_); trivial.
% 51.19/51.39 apply zenon_Hd5. apply refl_equal.
% 51.19/51.39 apply zenon_Hd5. apply refl_equal.
% 51.19/51.39 (* end of lemma zenon_L45_ *)
% 51.19/51.39 assert (zenon_L46_ : ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((op1 (e13) (e13)) = (e12)) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> False).
% 51.19/51.39 do 0 intro. intros zenon_H2c zenon_Hd9 zenon_H1c zenon_Hda.
% 51.19/51.39 elim (classic ((op1 (e13) (e13)) = (op1 (e13) (e13)))); [ zenon_intro zenon_H5b | zenon_intro zenon_H5c ].
% 51.19/51.39 cut (((op1 (e13) (e13)) = (op1 (e13) (e13))) = ((op1 (e10) (e13)) = (op1 (e13) (e13)))).
% 51.19/51.39 intro zenon_D_pnotp.
% 51.19/51.39 apply zenon_Hda.
% 51.19/51.39 rewrite <- zenon_D_pnotp.
% 51.19/51.39 exact zenon_H5b.
% 51.19/51.39 cut (((op1 (e13) (e13)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H5c].
% 51.19/51.39 cut (((op1 (e13) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Hdb].
% 51.19/51.39 congruence.
% 51.19/51.39 cut (((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) = ((op1 (e13) (e13)) = (op1 (e10) (e13)))).
% 51.19/51.39 intro zenon_D_pnotp.
% 51.19/51.39 apply zenon_Hdb.
% 51.19/51.39 rewrite <- zenon_D_pnotp.
% 51.19/51.39 exact zenon_H2c.
% 51.19/51.39 cut (((op1 (op1 (e13) (op1 (e13) (e13))) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H29].
% 51.19/51.39 cut (((e12) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Hdc].
% 51.19/51.39 congruence.
% 51.19/51.39 elim (classic ((op1 (e13) (e13)) = (op1 (e13) (e13)))); [ zenon_intro zenon_H5b | zenon_intro zenon_H5c ].
% 51.19/51.39 cut (((op1 (e13) (e13)) = (op1 (e13) (e13))) = ((e12) = (op1 (e13) (e13)))).
% 51.19/51.39 intro zenon_D_pnotp.
% 51.19/51.39 apply zenon_Hdc.
% 51.19/51.39 rewrite <- zenon_D_pnotp.
% 51.19/51.39 exact zenon_H5b.
% 51.19/51.39 cut (((op1 (e13) (e13)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H5c].
% 51.19/51.39 cut (((op1 (e13) (e13)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Hdd].
% 51.19/51.39 congruence.
% 51.19/51.39 exact (zenon_Hdd zenon_Hd9).
% 51.19/51.39 apply zenon_H5c. apply refl_equal.
% 51.19/51.39 apply zenon_H5c. apply refl_equal.
% 51.19/51.39 apply (zenon_L6_); trivial.
% 51.19/51.39 apply zenon_H5c. apply refl_equal.
% 51.19/51.39 apply zenon_H5c. apply refl_equal.
% 51.19/51.39 (* end of lemma zenon_L46_ *)
% 51.19/51.39 assert (zenon_L47_ : (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> ((op1 (e10) (e13)) = (e10)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> False).
% 51.19/51.39 do 0 intro. intros zenon_Hde zenon_H35 zenon_H4e zenon_Hab zenon_Hd3 zenon_H2c zenon_H1c zenon_Hda.
% 51.19/51.39 apply (zenon_or_s _ _ zenon_Hde); [ zenon_intro zenon_H49 | zenon_intro zenon_Hdf ].
% 51.19/51.39 apply (zenon_L16_); trivial.
% 51.19/51.39 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_Haa | zenon_intro zenon_He0 ].
% 51.19/51.39 apply (zenon_L34_); trivial.
% 51.19/51.39 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hd2 | zenon_intro zenon_Hd9 ].
% 51.19/51.39 apply (zenon_L45_); trivial.
% 51.19/51.39 apply (zenon_L46_); trivial.
% 51.19/51.39 (* end of lemma zenon_L47_ *)
% 51.19/51.39 assert (zenon_L48_ : (((op1 (op1 (e10) (e10)) (op1 (e10) (e10))) = (e10))/\(((op1 (op1 (e10) (e11)) (op1 (e10) (e11))) = (e11))/\(((op1 (op1 (e10) (e12)) (op1 (e10) (e12))) = (e12))/\((op1 (op1 (e10) (e13)) (op1 (e10) (e13))) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e13)) = (e12)) -> ((op1 (e13) (e12)) = (e13)) -> False).
% 51.19/51.39 do 0 intro. intros zenon_H7f zenon_He1 zenon_H49 zenon_Hcc.
% 51.19/51.39 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H81. zenon_intro zenon_H80.
% 51.19/51.39 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_H83. zenon_intro zenon_H82.
% 51.19/51.39 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H85. zenon_intro zenon_H84.
% 51.19/51.39 cut (((op1 (op1 (e10) (e13)) (op1 (e10) (e13))) = (e13)) = ((op1 (e12) (e12)) = (op1 (e13) (e12)))).
% 51.19/51.39 intro zenon_D_pnotp.
% 51.19/51.39 apply zenon_He1.
% 51.19/51.39 rewrite <- zenon_D_pnotp.
% 51.19/51.39 exact zenon_H84.
% 51.19/51.39 cut (((e13) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_Hcd].
% 51.19/51.39 cut (((op1 (op1 (e10) (e13)) (op1 (e10) (e13))) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H98].
% 51.19/51.39 congruence.
% 51.19/51.39 elim (classic ((op1 (e12) (e12)) = (op1 (e12) (e12)))); [ zenon_intro zenon_H99 | zenon_intro zenon_H9a ].
% 51.19/51.39 cut (((op1 (e12) (e12)) = (op1 (e12) (e12))) = ((op1 (op1 (e10) (e13)) (op1 (e10) (e13))) = (op1 (e12) (e12)))).
% 51.19/51.39 intro zenon_D_pnotp.
% 51.19/51.39 apply zenon_H98.
% 51.19/51.39 rewrite <- zenon_D_pnotp.
% 51.19/51.39 exact zenon_H99.
% 51.19/51.39 cut (((op1 (e12) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H9a].
% 51.19/51.39 cut (((op1 (e12) (e12)) = (op1 (op1 (e10) (e13)) (op1 (e10) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H93].
% 51.19/51.39 congruence.
% 51.19/51.39 apply (zenon_L26_); trivial.
% 51.19/51.39 apply zenon_H9a. apply refl_equal.
% 51.19/51.39 apply zenon_H9a. apply refl_equal.
% 51.19/51.39 apply zenon_Hcd. apply sym_equal. exact zenon_Hcc.
% 51.19/51.39 (* end of lemma zenon_L48_ *)
% 51.19/51.39 assert (zenon_L49_ : (((op1 (op1 (e12) (e10)) (op1 (e12) (e10))) = (e10))/\(((op1 (op1 (e12) (e11)) (op1 (e12) (e11))) = (e11))/\(((op1 (op1 (e12) (e12)) (op1 (e12) (e12))) = (e12))/\((op1 (op1 (e12) (e13)) (op1 (e12) (e13))) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e12) (e13)) = (e10)) -> ((op1 (e12) (e10)) = (e13)) -> False).
% 51.19/51.39 do 0 intro. intros zenon_H64 zenon_H7d zenon_H62 zenon_He2.
% 51.19/51.39 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H68. zenon_intro zenon_H67.
% 51.19/51.39 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H6a. zenon_intro zenon_H69.
% 51.19/51.39 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H6c. zenon_intro zenon_H6b.
% 51.19/51.39 cut (((op1 (op1 (e12) (e13)) (op1 (e12) (e13))) = (e13)) = ((op1 (e10) (e10)) = (op1 (e12) (e10)))).
% 51.19/51.39 intro zenon_D_pnotp.
% 51.19/51.39 apply zenon_H7d.
% 51.19/51.39 rewrite <- zenon_D_pnotp.
% 51.19/51.39 exact zenon_H6b.
% 51.19/51.39 cut (((e13) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_He3].
% 51.19/51.39 cut (((op1 (op1 (e12) (e13)) (op1 (e12) (e13))) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H6e].
% 51.19/51.39 congruence.
% 51.19/51.39 elim (classic ((op1 (e10) (e10)) = (op1 (e10) (e10)))); [ zenon_intro zenon_H2f | zenon_intro zenon_H30 ].
% 51.19/51.39 cut (((op1 (e10) (e10)) = (op1 (e10) (e10))) = ((op1 (op1 (e12) (e13)) (op1 (e12) (e13))) = (op1 (e10) (e10)))).
% 51.19/51.39 intro zenon_D_pnotp.
% 51.19/51.39 apply zenon_H6e.
% 51.19/51.39 rewrite <- zenon_D_pnotp.
% 51.19/51.39 exact zenon_H2f.
% 51.19/51.39 cut (((op1 (e10) (e10)) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H30].
% 51.19/51.39 cut (((op1 (e10) (e10)) = (op1 (op1 (e12) (e13)) (op1 (e12) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H61].
% 51.19/51.39 congruence.
% 51.19/51.39 apply (zenon_L19_); trivial.
% 51.19/51.39 apply zenon_H30. apply refl_equal.
% 51.19/51.39 apply zenon_H30. apply refl_equal.
% 51.19/51.39 apply zenon_He3. apply sym_equal. exact zenon_He2.
% 51.19/51.39 (* end of lemma zenon_L49_ *)
% 51.19/51.39 assert (zenon_L50_ : (((op1 (op1 (e13) (e10)) (op1 (e13) (e10))) = (e10))/\(((op1 (op1 (e13) (e11)) (op1 (e13) (e11))) = (e11))/\(((op1 (op1 (e13) (e12)) (op1 (e13) (e12))) = (e12))/\((op1 (op1 (e13) (e13)) (op1 (e13) (e13))) = (e13))))) -> ((op1 (e13) (e12)) = (e13)) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> False).
% 51.19/51.39 do 0 intro. intros zenon_H71 zenon_Hcc zenon_H49 zenon_Hda.
% 51.19/51.39 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H74. zenon_intro zenon_H73.
% 51.19/51.39 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H76. zenon_intro zenon_H75.
% 51.19/51.39 apply (zenon_and_s _ _ zenon_H75). zenon_intro zenon_H78. zenon_intro zenon_H77.
% 51.19/51.39 elim (classic ((op1 (e13) (e13)) = (op1 (e13) (e13)))); [ zenon_intro zenon_H5b | zenon_intro zenon_H5c ].
% 51.19/51.39 cut (((op1 (e13) (e13)) = (op1 (e13) (e13))) = ((op1 (e10) (e13)) = (op1 (e13) (e13)))).
% 51.19/51.39 intro zenon_D_pnotp.
% 51.19/51.39 apply zenon_Hda.
% 51.19/51.39 rewrite <- zenon_D_pnotp.
% 51.19/51.39 exact zenon_H5b.
% 51.19/51.39 cut (((op1 (e13) (e13)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H5c].
% 51.19/51.39 cut (((op1 (e13) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Hdb].
% 51.19/51.39 congruence.
% 51.19/51.39 cut (((op1 (op1 (e13) (e12)) (op1 (e13) (e12))) = (e12)) = ((op1 (e13) (e13)) = (op1 (e10) (e13)))).
% 51.19/51.39 intro zenon_D_pnotp.
% 51.19/51.39 apply zenon_Hdb.
% 51.19/51.39 rewrite <- zenon_D_pnotp.
% 51.19/51.39 exact zenon_H78.
% 51.19/51.39 cut (((e12) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H94].
% 51.19/51.39 cut (((op1 (op1 (e13) (e12)) (op1 (e13) (e12))) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_He4].
% 51.19/51.39 congruence.
% 51.19/51.39 elim (classic ((op1 (e13) (e13)) = (op1 (e13) (e13)))); [ zenon_intro zenon_H5b | zenon_intro zenon_H5c ].
% 51.19/51.39 cut (((op1 (e13) (e13)) = (op1 (e13) (e13))) = ((op1 (op1 (e13) (e12)) (op1 (e13) (e12))) = (op1 (e13) (e13)))).
% 51.19/51.39 intro zenon_D_pnotp.
% 51.19/51.39 apply zenon_He4.
% 51.19/51.39 rewrite <- zenon_D_pnotp.
% 51.19/51.39 exact zenon_H5b.
% 51.19/51.39 cut (((op1 (e13) (e13)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H5c].
% 51.19/51.39 cut (((op1 (e13) (e13)) = (op1 (op1 (e13) (e12)) (op1 (e13) (e12))))); [idtac | apply NNPP; zenon_intro zenon_He5].
% 51.19/51.39 congruence.
% 51.19/51.39 cut (((e13) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_Hcd].
% 51.19/51.39 cut (((e13) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_Hcd].
% 51.19/51.39 congruence.
% 51.19/51.39 apply zenon_Hcd. apply sym_equal. exact zenon_Hcc.
% 51.19/51.39 apply zenon_Hcd. apply sym_equal. exact zenon_Hcc.
% 51.19/51.39 apply zenon_H5c. apply refl_equal.
% 51.19/51.39 apply zenon_H5c. apply refl_equal.
% 51.19/51.39 apply zenon_H94. apply sym_equal. exact zenon_H49.
% 51.19/51.39 apply zenon_H5c. apply refl_equal.
% 51.19/51.39 apply zenon_H5c. apply refl_equal.
% 51.19/51.39 (* end of lemma zenon_L50_ *)
% 51.19/51.39 assert (zenon_L51_ : (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e13)) -> ((op1 (e12) (e10)) = (e13)) -> ((op1 (e12) (e13)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e13) (e12)) = (e13)) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> False).
% 51.19/51.39 do 0 intro. intros zenon_He1 zenon_H54 zenon_H51 zenon_He2 zenon_H62 zenon_H7d zenon_Hcc zenon_H49 zenon_Hda.
% 51.19/51.39 apply (zenon_or_s _ _ ax10); [ zenon_intro zenon_H7f | zenon_intro zenon_H7e ].
% 51.19/51.39 apply (zenon_L48_); trivial.
% 51.19/51.39 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H53 | zenon_intro zenon_H8a ].
% 51.19/51.39 apply (zenon_L18_); trivial.
% 51.19/51.39 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H64 | zenon_intro zenon_H71 ].
% 51.19/51.39 apply (zenon_L49_); trivial.
% 51.19/51.39 apply (zenon_L50_); trivial.
% 51.19/51.39 (* end of lemma zenon_L51_ *)
% 51.19/51.39 assert (zenon_L52_ : (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e12))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> ((op1 (e13) (e12)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e12) (e10)) = (e13)) -> ((op1 (e11) (e13)) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> False).
% 51.19/51.39 do 0 intro. intros zenon_H90 zenon_H35 zenon_H42 zenon_Hda zenon_H49 zenon_Hcc zenon_H7d zenon_He2 zenon_H51 zenon_H54 zenon_He1 zenon_H19 zenon_H8c.
% 51.19/51.39 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H4e | zenon_intro zenon_H91 ].
% 51.19/51.39 apply (zenon_L16_); trivial.
% 51.19/51.39 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H50 | zenon_intro zenon_H92 ].
% 51.19/51.39 apply (zenon_L17_); trivial.
% 51.19/51.39 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H62 | zenon_intro zenon_H8b ].
% 51.19/51.39 apply (zenon_L51_); trivial.
% 51.19/51.39 apply (zenon_L24_); trivial.
% 51.19/51.39 (* end of lemma zenon_L52_ *)
% 51.19/51.39 assert (zenon_L53_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e12) (e13)) = (e10)) -> ((op1 (e10) (e12)) = (e10)) -> ((op1 (e12) (e10)) = (e12)) -> ((op1 (e13) (e11)) = (e10)) -> (~((e10) = (e11))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e13)) -> ((op1 (e12) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e13))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e11) = (e13))) -> ((e11) = (op1 (e13) (e13))) -> False).
% 51.19/51.39 do 0 intro. intros zenon_Hcf zenon_H72 zenon_H65 zenon_H62 zenon_H22 zenon_H7c zenon_Hbe zenon_H8c zenon_He1 zenon_H54 zenon_H51 zenon_He2 zenon_H7d zenon_H49 zenon_Hda zenon_H42 zenon_H35 zenon_H90 zenon_H3d zenon_H19.
% 51.19/51.39 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H66 | zenon_intro zenon_Hd0 ].
% 51.19/51.39 apply (zenon_L23_); trivial.
% 51.19/51.39 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hd1 ].
% 51.19/51.39 apply (zenon_L40_); trivial.
% 51.19/51.39 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hb3 ].
% 51.19/51.39 apply (zenon_L52_); trivial.
% 51.19/51.39 apply (zenon_L37_); trivial.
% 51.19/51.39 (* end of lemma zenon_L53_ *)
% 51.19/51.39 assert (zenon_L54_ : ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e11) = (e13))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e12))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e12) (e10)) = (e13)) -> ((op1 (e11) (e13)) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e11)) = (e10)) -> ((op1 (e12) (e10)) = (e12)) -> ((op1 (e10) (e12)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> False).
% 51.19/51.39 do 0 intro. intros zenon_H1c zenon_H2c zenon_Hd3 zenon_Hab zenon_Hde zenon_H3d zenon_H90 zenon_H35 zenon_H42 zenon_Hda zenon_H49 zenon_H7d zenon_He2 zenon_H51 zenon_H54 zenon_He1 zenon_Hbe zenon_H7c zenon_H22 zenon_H65 zenon_H72 zenon_Hcf zenon_H19 zenon_H8c.
% 51.19/51.39 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H4e | zenon_intro zenon_H91 ].
% 51.19/51.39 apply (zenon_L47_); trivial.
% 51.19/51.39 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H50 | zenon_intro zenon_H92 ].
% 51.19/51.39 apply (zenon_L17_); trivial.
% 51.19/51.39 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H62 | zenon_intro zenon_H8b ].
% 51.19/51.39 apply (zenon_L53_); trivial.
% 51.19/51.39 apply (zenon_L24_); trivial.
% 51.19/51.39 (* end of lemma zenon_L54_ *)
% 51.19/51.39 assert (zenon_L55_ : (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e12)) = (e10)) -> ((op1 (e12) (e10)) = (e12)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e13)) -> ((op1 (e12) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e13))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e11) = (e13))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> False).
% 51.19/51.39 do 0 intro. intros zenon_Hc8 zenon_Hb8 zenon_Hcf zenon_H72 zenon_H65 zenon_H22 zenon_H7c zenon_He1 zenon_H54 zenon_H51 zenon_He2 zenon_H7d zenon_H49 zenon_Hda zenon_H42 zenon_H35 zenon_H90 zenon_H3d zenon_Hde zenon_Hab zenon_Hd3 zenon_H2c zenon_Hc2 zenon_H1c zenon_H19 zenon_H8c.
% 51.19/51.39 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hc9 ].
% 51.19/51.39 apply (zenon_L39_); trivial.
% 51.19/51.39 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hca ].
% 51.19/51.39 apply (zenon_L54_); trivial.
% 51.19/51.39 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H8b ].
% 51.19/51.39 apply (zenon_L41_); trivial.
% 51.19/51.39 apply (zenon_L24_); trivial.
% 51.19/51.39 (* end of lemma zenon_L55_ *)
% 51.19/51.39 assert (zenon_L56_ : ((op1 (e10) (e12)) = (e10)) -> ((op1 (e10) (e12)) = (e13)) -> (~((e10) = (e13))) -> False).
% 51.19/51.39 do 0 intro. intros zenon_H22 zenon_He6 zenon_H42.
% 51.19/51.39 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H3e | zenon_intro zenon_H17 ].
% 51.19/51.39 cut (((e13) = (e13)) = ((e10) = (e13))).
% 51.19/51.39 intro zenon_D_pnotp.
% 51.19/51.39 apply zenon_H42.
% 51.19/51.39 rewrite <- zenon_D_pnotp.
% 51.19/51.39 exact zenon_H3e.
% 51.19/51.39 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H17].
% 51.19/51.39 cut (((e13) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H43].
% 51.19/51.39 congruence.
% 51.19/51.39 cut (((op1 (e10) (e12)) = (e10)) = ((e13) = (e10))).
% 51.19/51.39 intro zenon_D_pnotp.
% 51.19/51.39 apply zenon_H43.
% 51.19/51.39 rewrite <- zenon_D_pnotp.
% 51.19/51.39 exact zenon_H22.
% 51.19/51.39 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H32].
% 51.19/51.39 cut (((op1 (e10) (e12)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_He7].
% 51.19/51.39 congruence.
% 51.19/51.39 exact (zenon_He7 zenon_He6).
% 51.19/51.39 apply zenon_H32. apply refl_equal.
% 51.19/51.39 apply zenon_H17. apply refl_equal.
% 51.19/51.39 apply zenon_H17. apply refl_equal.
% 51.19/51.39 (* end of lemma zenon_L56_ *)
% 51.19/51.39 assert (zenon_L57_ : ((op1 (e13) (e10)) = (e12)) -> ((op1 (e13) (e10)) = (e13)) -> (~((e12) = (e13))) -> False).
% 51.19/51.39 do 0 intro. intros zenon_He8 zenon_H66 zenon_H4b.
% 51.19/51.39 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H3e | zenon_intro zenon_H17 ].
% 51.19/51.39 cut (((e13) = (e13)) = ((e12) = (e13))).
% 51.19/51.39 intro zenon_D_pnotp.
% 51.19/51.39 apply zenon_H4b.
% 51.19/51.39 rewrite <- zenon_D_pnotp.
% 51.19/51.39 exact zenon_H3e.
% 51.19/51.39 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H17].
% 51.19/51.39 cut (((e13) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H4c].
% 51.19/51.39 congruence.
% 51.19/51.39 cut (((op1 (e13) (e10)) = (e12)) = ((e13) = (e12))).
% 51.19/51.39 intro zenon_D_pnotp.
% 51.19/51.39 apply zenon_H4c.
% 51.19/51.39 rewrite <- zenon_D_pnotp.
% 51.19/51.39 exact zenon_He8.
% 51.19/51.39 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H37].
% 51.19/51.39 cut (((op1 (e13) (e10)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_He9].
% 51.19/51.39 congruence.
% 51.19/51.39 exact (zenon_He9 zenon_H66).
% 51.19/51.39 apply zenon_H37. apply refl_equal.
% 51.19/51.39 apply zenon_H17. apply refl_equal.
% 51.19/51.39 apply zenon_H17. apply refl_equal.
% 51.19/51.39 (* end of lemma zenon_L57_ *)
% 51.19/51.39 assert (zenon_L58_ : (((op1 (op1 (e11) (e10)) (op1 (e11) (e10))) = (e10))/\(((op1 (op1 (e11) (e11)) (op1 (e11) (e11))) = (e11))/\(((op1 (op1 (e11) (e12)) (op1 (e11) (e12))) = (e12))/\((op1 (op1 (e11) (e13)) (op1 (e11) (e13))) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e11) (e13)) = (e10)) -> ((op1 (e11) (e10)) = (e13)) -> False).
% 51.19/51.39 do 0 intro. intros zenon_H53 zenon_Hea zenon_H50 zenon_H41.
% 51.19/51.39 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H56. zenon_intro zenon_H55.
% 51.19/51.39 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H58. zenon_intro zenon_H57.
% 51.19/51.39 apply (zenon_and_s _ _ zenon_H57). zenon_intro zenon_H5a. zenon_intro zenon_H59.
% 51.19/51.39 cut (((op1 (op1 (e11) (e13)) (op1 (e11) (e13))) = (e13)) = ((op1 (e10) (e10)) = (op1 (e11) (e10)))).
% 51.19/51.39 intro zenon_D_pnotp.
% 51.19/51.39 apply zenon_Hea.
% 51.19/51.39 rewrite <- zenon_D_pnotp.
% 51.19/51.39 exact zenon_H59.
% 51.19/51.39 cut (((e13) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_Heb].
% 51.19/51.39 cut (((op1 (op1 (e11) (e13)) (op1 (e11) (e13))) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H9d].
% 51.19/51.39 congruence.
% 51.19/51.39 elim (classic ((op1 (e10) (e10)) = (op1 (e10) (e10)))); [ zenon_intro zenon_H2f | zenon_intro zenon_H30 ].
% 51.19/51.39 cut (((op1 (e10) (e10)) = (op1 (e10) (e10))) = ((op1 (op1 (e11) (e13)) (op1 (e11) (e13))) = (op1 (e10) (e10)))).
% 51.19/51.39 intro zenon_D_pnotp.
% 51.19/51.39 apply zenon_H9d.
% 51.19/51.39 rewrite <- zenon_D_pnotp.
% 51.19/51.39 exact zenon_H2f.
% 51.19/51.39 cut (((op1 (e10) (e10)) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H30].
% 51.19/51.39 cut (((op1 (e10) (e10)) = (op1 (op1 (e11) (e13)) (op1 (e11) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H9b].
% 51.19/51.39 congruence.
% 51.19/51.39 apply (zenon_L28_); trivial.
% 51.19/51.39 apply zenon_H30. apply refl_equal.
% 51.19/51.39 apply zenon_H30. apply refl_equal.
% 51.19/51.39 apply zenon_Heb. apply sym_equal. exact zenon_H41.
% 51.19/51.39 (* end of lemma zenon_L58_ *)
% 51.19/51.39 assert (zenon_L59_ : (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e10)) = (e13)) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e12) (e13)) = (e13)) -> ((op1 (e13) (e12)) = (e13)) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> False).
% 51.19/51.39 do 0 intro. intros zenon_He1 zenon_H41 zenon_H50 zenon_Hea zenon_H9e zenon_H96 zenon_Hcc zenon_H49 zenon_Hda.
% 51.19/51.39 apply (zenon_or_s _ _ ax10); [ zenon_intro zenon_H7f | zenon_intro zenon_H7e ].
% 51.19/51.39 apply (zenon_L48_); trivial.
% 51.19/51.39 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H53 | zenon_intro zenon_H8a ].
% 51.19/51.39 apply (zenon_L58_); trivial.
% 51.19/51.39 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H64 | zenon_intro zenon_H71 ].
% 51.19/51.39 apply (zenon_L30_); trivial.
% 51.19/51.39 apply (zenon_L50_); trivial.
% 51.19/51.39 (* end of lemma zenon_L59_ *)
% 51.19/51.39 assert (zenon_L60_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> ((op1 (e13) (e10)) = (e12)) -> (~((e10) = (e11))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e10) = (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> ((op1 (e12) (e13)) = (e13)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e11) (e13)) = (e10)) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e13))) -> ((e11) = (op1 (e13) (e13))) -> False).
% 51.19/51.39 do 0 intro. intros zenon_Hcf zenon_H4b zenon_He8 zenon_H8c zenon_H1c zenon_Hc2 zenon_H42 zenon_Hb8 zenon_Hc8 zenon_Hda zenon_H49 zenon_H96 zenon_H9e zenon_Hea zenon_H50 zenon_H41 zenon_He1 zenon_H3d zenon_H19.
% 51.19/51.39 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H66 | zenon_intro zenon_Hd0 ].
% 51.19/51.39 apply (zenon_L57_); trivial.
% 51.19/51.39 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hd1 ].
% 51.19/51.39 apply (zenon_L42_); trivial.
% 51.19/51.39 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hb3 ].
% 51.19/51.39 apply (zenon_L59_); trivial.
% 51.19/51.39 apply (zenon_L37_); trivial.
% 51.19/51.39 (* end of lemma zenon_L60_ *)
% 51.19/51.39 assert (zenon_L61_ : (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e11))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e12) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e13) (e12)) = (e13)) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e13))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> ((op1 (e13) (e10)) = (e12)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e11) (e10)) = (e13)) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((e11) = (e13))) -> ((e11) = (op1 (e13) (e13))) -> False).
% 51.19/51.39 do 0 intro. intros zenon_Hb5 zenon_H8c zenon_He1 zenon_H54 zenon_He2 zenon_H7d zenon_Hcc zenon_H49 zenon_Hda zenon_H42 zenon_H35 zenon_H90 zenon_H2c zenon_H1c zenon_Hab zenon_Hcf zenon_H4b zenon_He8 zenon_Hc2 zenon_Hb8 zenon_Hc8 zenon_H9e zenon_Hea zenon_H41 zenon_Hb0 zenon_H3d zenon_H19.
% 51.19/51.39 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H4a | zenon_intro zenon_Hb6 ].
% 51.19/51.39 apply (zenon_L15_); trivial.
% 51.19/51.39 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H51 | zenon_intro zenon_Hb7 ].
% 51.19/51.39 apply (zenon_L52_); trivial.
% 51.19/51.39 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb3 ].
% 51.19/51.39 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H50 | zenon_intro zenon_Hb1 ].
% 51.19/51.39 apply (zenon_L60_); trivial.
% 51.19/51.39 apply (zenon_or_s _ _ zenon_Hb1); [ zenon_intro zenon_Ha5 | zenon_intro zenon_Hb2 ].
% 51.19/51.39 apply (zenon_L33_); trivial.
% 51.19/51.39 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_Haa | zenon_intro zenon_H51 ].
% 51.19/51.39 apply (zenon_L34_); trivial.
% 51.19/51.39 apply (zenon_L52_); trivial.
% 51.19/51.39 apply (zenon_L37_); trivial.
% 51.19/51.39 (* end of lemma zenon_L61_ *)
% 51.19/51.39 assert (zenon_L62_ : (((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 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e10)) = (e12)) -> (~((e12) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e12))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e12) (e10)) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e11) = (e13))) -> ((e11) = (op1 (e13) (e13))) -> False).
% 51.19/51.39 do 0 intro. intros zenon_Hb0 zenon_H41 zenon_Hea zenon_H9e zenon_Hc8 zenon_Hb8 zenon_Hc2 zenon_He8 zenon_H4b zenon_Hcf zenon_Hab zenon_H1c zenon_H2c zenon_H90 zenon_H35 zenon_H42 zenon_Hda zenon_H49 zenon_H7d zenon_He2 zenon_H54 zenon_He1 zenon_H8c zenon_Hb5 zenon_H3d zenon_H19.
% 51.19/51.39 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H66 | zenon_intro zenon_Hd0 ].
% 51.19/51.39 apply (zenon_L57_); trivial.
% 51.19/51.39 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hd1 ].
% 51.19/51.39 apply (zenon_L42_); trivial.
% 51.19/51.39 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hb3 ].
% 51.19/51.39 apply (zenon_L61_); trivial.
% 51.19/51.39 apply (zenon_L37_); trivial.
% 51.19/51.39 (* end of lemma zenon_L62_ *)
% 51.19/51.39 assert (zenon_L63_ : (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> ((op1 (e13) (e12)) = (e11)) -> False).
% 51.19/51.39 do 0 intro. intros zenon_Hec zenon_H19 zenon_Hed.
% 51.19/51.39 cut (((e11) = (op1 (e13) (e13))) = ((op1 (e13) (e12)) = (op1 (e13) (e13)))).
% 51.19/51.39 intro zenon_D_pnotp.
% 51.19/51.39 apply zenon_Hec.
% 51.19/51.39 rewrite <- zenon_D_pnotp.
% 51.19/51.39 exact zenon_H19.
% 51.19/51.39 cut (((op1 (e13) (e13)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H5c].
% 51.19/51.39 cut (((e11) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_Hee].
% 51.19/51.39 congruence.
% 51.19/51.39 elim (classic ((op1 (e13) (e12)) = (op1 (e13) (e12)))); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hc4 ].
% 51.19/51.39 cut (((op1 (e13) (e12)) = (op1 (e13) (e12))) = ((e11) = (op1 (e13) (e12)))).
% 51.19/51.39 intro zenon_D_pnotp.
% 51.19/51.39 apply zenon_Hee.
% 51.19/51.39 rewrite <- zenon_D_pnotp.
% 51.19/51.39 exact zenon_Hc3.
% 51.19/51.39 cut (((op1 (e13) (e12)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_Hc4].
% 51.19/51.39 cut (((op1 (e13) (e12)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_Hef].
% 51.19/51.39 congruence.
% 51.19/51.39 exact (zenon_Hef zenon_Hed).
% 51.19/51.39 apply zenon_Hc4. apply refl_equal.
% 51.19/51.39 apply zenon_Hc4. apply refl_equal.
% 51.19/51.39 apply zenon_H5c. apply refl_equal.
% 51.19/51.39 (* end of lemma zenon_L63_ *)
% 51.19/51.39 assert (zenon_L64_ : (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e10)) = (e12)) -> ((op1 (e13) (e12)) = (e12)) -> False).
% 51.19/51.39 do 0 intro. intros zenon_Hf0 zenon_He8 zenon_Hf1.
% 51.19/51.39 cut (((op1 (e13) (e10)) = (e12)) = ((op1 (e13) (e10)) = (op1 (e13) (e12)))).
% 51.19/51.39 intro zenon_D_pnotp.
% 51.19/51.39 apply zenon_Hf0.
% 51.19/51.39 rewrite <- zenon_D_pnotp.
% 51.19/51.39 exact zenon_He8.
% 51.19/51.39 cut (((e12) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_Hf2].
% 51.19/51.39 cut (((op1 (e13) (e10)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_Hbc].
% 51.19/51.39 congruence.
% 51.19/51.39 apply zenon_Hbc. apply refl_equal.
% 51.19/51.39 apply zenon_Hf2. apply sym_equal. exact zenon_Hf1.
% 51.19/51.39 (* end of lemma zenon_L64_ *)
% 51.19/51.39 assert (zenon_L65_ : (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e10)) = (e12)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e12)) = (e13)) -> False).
% 51.19/51.39 do 0 intro. intros zenon_Hf3 zenon_Hc2 zenon_H1c zenon_H19 zenon_Hec zenon_He8 zenon_Hf0 zenon_Hcb zenon_Ha3.
% 51.19/51.39 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_Hc1 | zenon_intro zenon_Hf4 ].
% 51.19/51.39 apply (zenon_L41_); trivial.
% 51.19/51.39 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_Hed | zenon_intro zenon_Hf5 ].
% 51.19/51.39 apply (zenon_L63_); trivial.
% 51.19/51.39 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_Hf1 | zenon_intro zenon_Hcc ].
% 51.19/51.39 apply (zenon_L64_); trivial.
% 51.19/51.39 apply (zenon_L43_); trivial.
% 51.19/51.39 (* end of lemma zenon_L65_ *)
% 51.19/51.39 assert (zenon_L66_ : (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> ((op1 (e11) (e10)) = (e10)) -> ((op1 (e11) (e13)) = (e10)) -> False).
% 51.19/51.39 do 0 intro. intros zenon_Hf6 zenon_H33 zenon_H50.
% 51.19/51.39 cut (((op1 (e11) (e10)) = (e10)) = ((op1 (e11) (e10)) = (op1 (e11) (e13)))).
% 51.19/51.39 intro zenon_D_pnotp.
% 51.19/51.39 apply zenon_Hf6.
% 51.19/51.39 rewrite <- zenon_D_pnotp.
% 51.19/51.39 exact zenon_H33.
% 51.19/51.39 cut (((e10) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H9c].
% 51.19/51.39 cut (((op1 (e11) (e10)) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_Hf7].
% 51.19/51.39 congruence.
% 51.19/51.39 apply zenon_Hf7. apply refl_equal.
% 51.19/51.39 apply zenon_H9c. apply sym_equal. exact zenon_H50.
% 51.19/51.39 (* end of lemma zenon_L66_ *)
% 51.19/51.39 assert (zenon_L67_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> ((op1 (e13) (e10)) = (e12)) -> (~((e10) = (e13))) -> ((op1 (e13) (e11)) = (e10)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e12) (e13)) = (e10)) -> ((op1 (e12) (e10)) = (e13)) -> ((op1 (e11) (e13)) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e13))) -> ((e11) = (op1 (e13) (e13))) -> False).
% 51.19/51.39 do 0 intro. intros zenon_Hcf zenon_H4b zenon_He8 zenon_H42 zenon_Hbe zenon_Hda zenon_H49 zenon_H7d zenon_H62 zenon_He2 zenon_H51 zenon_H54 zenon_He1 zenon_H3d zenon_H19.
% 51.19/51.39 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H66 | zenon_intro zenon_Hd0 ].
% 51.19/51.39 apply (zenon_L57_); trivial.
% 51.19/51.39 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hd1 ].
% 51.19/51.39 apply (zenon_L40_); trivial.
% 51.19/51.39 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hb3 ].
% 51.19/51.39 apply (zenon_L51_); trivial.
% 51.19/51.39 apply (zenon_L37_); trivial.
% 51.19/51.39 (* end of lemma zenon_L67_ *)
% 51.19/51.39 assert (zenon_L68_ : (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e11) (e10)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e13)) -> ((op1 (e12) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e11)) = (e10)) -> (~((e10) = (e13))) -> ((op1 (e13) (e10)) = (e12)) -> (~((e12) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> False).
% 51.19/51.39 do 0 intro. intros zenon_H90 zenon_H1c zenon_H2c zenon_Hd3 zenon_Hab zenon_H35 zenon_Hde zenon_H33 zenon_Hf6 zenon_H3d zenon_He1 zenon_H54 zenon_H51 zenon_He2 zenon_H7d zenon_H49 zenon_Hda zenon_Hbe zenon_H42 zenon_He8 zenon_H4b zenon_Hcf zenon_H19 zenon_H8c.
% 51.19/51.39 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H4e | zenon_intro zenon_H91 ].
% 51.19/51.39 apply (zenon_L47_); trivial.
% 51.19/51.39 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H50 | zenon_intro zenon_H92 ].
% 51.19/51.39 apply (zenon_L66_); trivial.
% 51.19/51.39 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H62 | zenon_intro zenon_H8b ].
% 51.19/51.39 apply (zenon_L67_); trivial.
% 51.19/51.39 apply (zenon_L24_); trivial.
% 51.19/51.39 (* end of lemma zenon_L68_ *)
% 51.19/51.39 assert (zenon_L69_ : (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> ((op1 (e13) (e10)) = (e12)) -> (~((e10) = (e13))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e12) (e10)) = (e13)) -> ((op1 (e11) (e13)) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> ((op1 (e11) (e10)) = (e10)) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> False).
% 51.19/51.39 do 0 intro. intros zenon_Hc8 zenon_Hb8 zenon_Hcf zenon_H4b zenon_He8 zenon_H42 zenon_Hda zenon_H49 zenon_H7d zenon_He2 zenon_H51 zenon_H54 zenon_He1 zenon_H3d zenon_Hf6 zenon_H33 zenon_Hde zenon_H35 zenon_Hab zenon_Hd3 zenon_H2c zenon_H90 zenon_Hc2 zenon_H1c zenon_H19 zenon_H8c.
% 51.19/51.39 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hc9 ].
% 51.19/51.39 apply (zenon_L39_); trivial.
% 51.19/51.39 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hca ].
% 51.19/51.39 apply (zenon_L68_); trivial.
% 51.19/51.39 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H8b ].
% 51.19/51.39 apply (zenon_L41_); trivial.
% 51.19/51.39 apply (zenon_L24_); trivial.
% 51.19/51.39 (* end of lemma zenon_L69_ *)
% 51.19/51.39 assert (zenon_L70_ : (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((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))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> ((op1 (e13) (e10)) = (e12)) -> (~((e10) = (e13))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e12) (e10)) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> ((op1 (e11) (e10)) = (e10)) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> False).
% 51.19/51.39 do 0 intro. intros zenon_Hf8 zenon_Hb5 zenon_H9e zenon_Hea zenon_Hb0 zenon_H46 zenon_H45 zenon_Hcb zenon_Hf0 zenon_Hec zenon_Hf3 zenon_Hc8 zenon_Hb8 zenon_Hcf zenon_H4b zenon_He8 zenon_H42 zenon_Hda zenon_H49 zenon_H7d zenon_He2 zenon_H54 zenon_He1 zenon_H3d zenon_Hf6 zenon_H33 zenon_Hde zenon_H35 zenon_Hab zenon_Hd3 zenon_H2c zenon_H90 zenon_Hc2 zenon_H1c zenon_H19 zenon_H8c.
% 51.19/51.39 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H41 | zenon_intro zenon_Hf9 ].
% 51.19/51.39 apply (zenon_L62_); trivial.
% 51.19/51.39 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H47 | zenon_intro zenon_Hfa ].
% 51.19/51.39 apply (zenon_L13_); trivial.
% 51.19/51.39 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H51 ].
% 51.19/51.39 apply (zenon_L65_); trivial.
% 51.19/51.39 apply (zenon_L69_); trivial.
% 51.19/51.39 (* end of lemma zenon_L70_ *)
% 51.19/51.39 assert (zenon_L71_ : (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> ((op1 (e10) (e10)) = (e11)) -> (~((e10) = (e11))) -> ((e11) = (op1 (e13) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e11) (e10)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (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 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((op1 (e10) (e11)) = (e13)) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((op1 (e13) (e10)) = (e12)) -> (~((e12) = (e13))) -> False).
% 51.19/51.39 do 0 intro. intros zenon_Hfb zenon_H3b zenon_H8c zenon_H19 zenon_H1c zenon_Hc2 zenon_H90 zenon_H2c zenon_Hd3 zenon_Hab zenon_H35 zenon_Hde zenon_H33 zenon_Hf6 zenon_H3d zenon_He1 zenon_H54 zenon_H7d zenon_H49 zenon_Hda zenon_H42 zenon_Hcf zenon_Hb8 zenon_Hc8 zenon_Hf3 zenon_Hec zenon_Hf0 zenon_Hcb zenon_H45 zenon_H46 zenon_Hb0 zenon_Hea zenon_H9e zenon_Hb5 zenon_Hf8 zenon_He8 zenon_H4b.
% 51.19/51.39 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hfc ].
% 51.19/51.39 apply (zenon_L11_); trivial.
% 51.19/51.39 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H41 | zenon_intro zenon_Hfd ].
% 51.19/51.39 apply (zenon_L12_); trivial.
% 51.19/51.39 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_He2 | zenon_intro zenon_H66 ].
% 51.19/51.39 apply (zenon_L70_); trivial.
% 51.19/51.39 apply (zenon_L57_); trivial.
% 51.19/51.39 (* end of lemma zenon_L71_ *)
% 51.19/51.39 assert (zenon_L72_ : (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (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)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((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))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> ((op1 (e11) (e10)) = (e10)) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> ((op1 (e10) (e10)) = (e11)) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((e10) = (e13))) -> ((op1 (e10) (e12)) = (e10)) -> ((op1 (e10) (e13)) = (e12)) -> (~((e12) = (e13))) -> False).
% 51.19/51.39 do 0 intro. intros zenon_Hfe zenon_H2b zenon_Ha2 zenon_H95 zenon_Haf zenon_H72 zenon_H65 zenon_Hff zenon_Hf8 zenon_Hb5 zenon_H9e zenon_Hea zenon_Hb0 zenon_H45 zenon_Hcb zenon_Hf0 zenon_Hec zenon_Hf3 zenon_Hc8 zenon_Hb8 zenon_Hcf zenon_Hda zenon_H7d zenon_H54 zenon_He1 zenon_H3d zenon_Hf6 zenon_H33 zenon_Hde zenon_H35 zenon_Hab zenon_Hd3 zenon_H2c zenon_H90 zenon_Hc2 zenon_H1c zenon_H19 zenon_H8c zenon_H3b zenon_Hfb zenon_H42 zenon_H22 zenon_H49 zenon_H4b.
% 51.19/51.39 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ].
% 51.19/51.39 apply (zenon_L7_); trivial.
% 51.19/51.39 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_H34 | zenon_intro zenon_H101 ].
% 51.19/51.39 apply (zenon_L9_); trivial.
% 51.19/51.39 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_H7c | zenon_intro zenon_He8 ].
% 51.19/51.39 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H3c | zenon_intro zenon_H102 ].
% 51.19/51.39 apply (zenon_L11_); trivial.
% 51.19/51.39 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_H46 | zenon_intro zenon_H103 ].
% 51.19/51.39 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hfc ].
% 51.19/51.39 apply (zenon_L11_); trivial.
% 51.19/51.39 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H41 | zenon_intro zenon_Hfd ].
% 51.19/51.39 apply (zenon_L12_); trivial.
% 51.19/51.39 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_He2 | zenon_intro zenon_H66 ].
% 51.19/51.39 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H41 | zenon_intro zenon_Hf9 ].
% 51.19/51.39 apply (zenon_L12_); trivial.
% 51.19/51.39 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H47 | zenon_intro zenon_Hfa ].
% 51.19/51.39 apply (zenon_L13_); trivial.
% 51.19/51.39 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H51 ].
% 51.19/51.39 apply (zenon_L44_); trivial.
% 51.19/51.39 apply (zenon_L55_); trivial.
% 51.19/51.39 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H41 | zenon_intro zenon_Hf9 ].
% 51.19/51.39 apply (zenon_L12_); trivial.
% 51.19/51.39 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H47 | zenon_intro zenon_Hfa ].
% 51.19/51.39 apply (zenon_L13_); trivial.
% 51.19/51.39 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H51 ].
% 51.19/51.39 apply (zenon_L38_); trivial.
% 51.19/51.39 apply (zenon_L25_); trivial.
% 51.19/51.39 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_He6 | zenon_intro zenon_H4a ].
% 51.19/51.39 apply (zenon_L56_); trivial.
% 51.19/51.39 apply (zenon_L15_); trivial.
% 51.19/51.39 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H3c | zenon_intro zenon_H102 ].
% 51.19/51.39 apply (zenon_L11_); trivial.
% 51.19/51.39 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_H46 | zenon_intro zenon_H103 ].
% 51.19/51.39 apply (zenon_L71_); trivial.
% 51.19/51.39 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_He6 | zenon_intro zenon_H4a ].
% 51.19/51.39 apply (zenon_L56_); trivial.
% 51.19/51.39 apply (zenon_L15_); trivial.
% 51.19/51.39 (* end of lemma zenon_L72_ *)
% 51.19/51.39 assert (zenon_L73_ : ((op1 (e10) (e11)) = (e11)) -> ((op1 (e10) (e10)) = (e11)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> False).
% 51.19/51.39 do 0 intro. intros zenon_H104 zenon_H3b zenon_H105.
% 51.19/51.39 elim (classic ((op1 (e10) (e11)) = (op1 (e10) (e11)))); [ zenon_intro zenon_H1f | zenon_intro zenon_H20 ].
% 51.19/51.39 cut (((op1 (e10) (e11)) = (op1 (e10) (e11))) = ((op1 (e10) (e10)) = (op1 (e10) (e11)))).
% 51.19/51.39 intro zenon_D_pnotp.
% 51.19/51.39 apply zenon_H105.
% 51.19/51.39 rewrite <- zenon_D_pnotp.
% 51.19/51.39 exact zenon_H1f.
% 51.19/51.39 cut (((op1 (e10) (e11)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H20].
% 51.19/51.39 cut (((op1 (e10) (e11)) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H106].
% 51.19/51.39 congruence.
% 51.19/51.39 cut (((op1 (e10) (e11)) = (e11)) = ((op1 (e10) (e11)) = (op1 (e10) (e10)))).
% 51.19/51.39 intro zenon_D_pnotp.
% 51.19/51.39 apply zenon_H106.
% 51.19/51.39 rewrite <- zenon_D_pnotp.
% 51.19/51.39 exact zenon_H104.
% 51.19/51.39 cut (((e11) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H107].
% 51.19/51.39 cut (((op1 (e10) (e11)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H20].
% 51.19/51.39 congruence.
% 51.19/51.39 apply zenon_H20. apply refl_equal.
% 51.19/51.39 apply zenon_H107. apply sym_equal. exact zenon_H3b.
% 51.19/51.39 apply zenon_H20. apply refl_equal.
% 51.19/51.39 apply zenon_H20. apply refl_equal.
% 51.19/51.39 (* end of lemma zenon_L73_ *)
% 51.19/51.39 assert (zenon_L74_ : ((op1 (e11) (e10)) = (e10)) -> ((op1 (e11) (e10)) = (e11)) -> (~((e10) = (e11))) -> False).
% 51.19/51.39 do 0 intro. intros zenon_H33 zenon_H108 zenon_H8c.
% 51.19/51.39 elim (classic ((e11) = (e11))); [ zenon_intro zenon_H8d | zenon_intro zenon_H3a ].
% 51.19/51.39 cut (((e11) = (e11)) = ((e10) = (e11))).
% 51.19/51.39 intro zenon_D_pnotp.
% 51.19/51.39 apply zenon_H8c.
% 51.19/51.39 rewrite <- zenon_D_pnotp.
% 51.19/51.39 exact zenon_H8d.
% 51.19/51.39 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H3a].
% 51.19/51.39 cut (((e11) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H8e].
% 51.19/51.39 congruence.
% 51.19/51.39 cut (((op1 (e11) (e10)) = (e10)) = ((e11) = (e10))).
% 51.19/51.39 intro zenon_D_pnotp.
% 51.19/51.39 apply zenon_H8e.
% 51.19/51.39 rewrite <- zenon_D_pnotp.
% 51.19/51.39 exact zenon_H33.
% 51.19/51.39 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H32].
% 51.19/51.39 cut (((op1 (e11) (e10)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H109].
% 51.19/51.39 congruence.
% 51.19/51.39 exact (zenon_H109 zenon_H108).
% 51.19/51.39 apply zenon_H32. apply refl_equal.
% 51.19/51.39 apply zenon_H3a. apply refl_equal.
% 51.19/51.39 apply zenon_H3a. apply refl_equal.
% 51.19/51.39 (* end of lemma zenon_L74_ *)
% 51.19/51.39 assert (zenon_L75_ : ((op1 (e12) (e10)) = (e11)) -> ((op1 (e12) (e10)) = (e12)) -> (~((e11) = (e12))) -> False).
% 51.19/51.39 do 0 intro. intros zenon_H10a zenon_H7c zenon_H10b.
% 51.19/51.39 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H36 | zenon_intro zenon_H37 ].
% 51.19/51.39 cut (((e12) = (e12)) = ((e11) = (e12))).
% 51.19/51.39 intro zenon_D_pnotp.
% 51.19/51.39 apply zenon_H10b.
% 51.19/51.39 rewrite <- zenon_D_pnotp.
% 51.19/51.39 exact zenon_H36.
% 51.19/51.39 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H37].
% 51.19/51.39 cut (((e12) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H10c].
% 51.19/51.39 congruence.
% 51.19/51.39 cut (((op1 (e12) (e10)) = (e11)) = ((e12) = (e11))).
% 51.19/51.39 intro zenon_D_pnotp.
% 51.19/51.39 apply zenon_H10c.
% 51.19/51.39 rewrite <- zenon_D_pnotp.
% 51.19/51.39 exact zenon_H10a.
% 51.19/51.39 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H3a].
% 51.19/51.39 cut (((op1 (e12) (e10)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H10d].
% 51.19/51.39 congruence.
% 51.19/51.39 exact (zenon_H10d zenon_H7c).
% 51.19/51.39 apply zenon_H3a. apply refl_equal.
% 51.19/51.39 apply zenon_H37. apply refl_equal.
% 51.19/51.39 apply zenon_H37. apply refl_equal.
% 51.19/51.39 (* end of lemma zenon_L75_ *)
% 51.19/51.39 assert (zenon_L76_ : (((op1 (op1 (e12) (e10)) (op1 (e12) (e10))) = (e10))/\(((op1 (op1 (e12) (e11)) (op1 (e12) (e11))) = (e11))/\(((op1 (op1 (e12) (e12)) (op1 (e12) (e12))) = (e12))/\((op1 (op1 (e12) (e13)) (op1 (e12) (e13))) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e12) (e10)) = (e11)) -> ((op1 (e13) (e11)) = (e10)) -> False).
% 51.19/51.39 do 0 intro. intros zenon_H64 zenon_H10e zenon_H10a zenon_Hbe.
% 51.19/51.39 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H68. zenon_intro zenon_H67.
% 51.19/51.39 cut (((op1 (op1 (e12) (e10)) (op1 (e12) (e10))) = (e10)) = ((op1 (e11) (e11)) = (op1 (e13) (e11)))).
% 51.19/51.39 intro zenon_D_pnotp.
% 51.19/51.39 apply zenon_H10e.
% 51.19/51.39 rewrite <- zenon_D_pnotp.
% 51.19/51.39 exact zenon_H68.
% 51.19/51.39 cut (((e10) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H10f].
% 51.19/51.39 cut (((op1 (op1 (e12) (e10)) (op1 (e12) (e10))) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H110].
% 51.19/51.39 congruence.
% 51.19/51.39 elim (classic ((op1 (e11) (e11)) = (op1 (e11) (e11)))); [ zenon_intro zenon_H7a | zenon_intro zenon_H7b ].
% 51.19/51.39 cut (((op1 (e11) (e11)) = (op1 (e11) (e11))) = ((op1 (op1 (e12) (e10)) (op1 (e12) (e10))) = (op1 (e11) (e11)))).
% 51.19/51.39 intro zenon_D_pnotp.
% 51.19/51.39 apply zenon_H110.
% 51.19/51.39 rewrite <- zenon_D_pnotp.
% 51.19/51.39 exact zenon_H7a.
% 51.19/51.39 cut (((op1 (e11) (e11)) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H7b].
% 51.19/51.39 cut (((op1 (e11) (e11)) = (op1 (op1 (e12) (e10)) (op1 (e12) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H111].
% 51.19/51.39 congruence.
% 51.19/51.39 cut (((e11) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H112].
% 51.19/51.39 cut (((e11) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H112].
% 51.19/51.39 congruence.
% 51.19/51.39 apply zenon_H112. apply sym_equal. exact zenon_H10a.
% 51.19/51.39 apply zenon_H112. apply sym_equal. exact zenon_H10a.
% 51.19/51.39 apply zenon_H7b. apply refl_equal.
% 51.19/51.39 apply zenon_H7b. apply refl_equal.
% 51.19/51.39 apply zenon_H10f. apply sym_equal. exact zenon_Hbe.
% 51.19/51.39 (* end of lemma zenon_L76_ *)
% 51.19/51.39 assert (zenon_L77_ : (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e13)) -> ((op1 (e13) (e11)) = (e10)) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e12)) = (e13)) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> False).
% 51.19/51.39 do 0 intro. intros zenon_He1 zenon_H54 zenon_H51 zenon_Hbe zenon_H10a zenon_H10e zenon_Hcc zenon_H49 zenon_Hda.
% 51.19/51.39 apply (zenon_or_s _ _ ax10); [ zenon_intro zenon_H7f | zenon_intro zenon_H7e ].
% 51.19/51.39 apply (zenon_L48_); trivial.
% 51.19/51.39 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H53 | zenon_intro zenon_H8a ].
% 51.19/51.39 apply (zenon_L18_); trivial.
% 51.19/51.39 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H64 | zenon_intro zenon_H71 ].
% 51.19/51.39 apply (zenon_L76_); trivial.
% 51.19/51.39 apply (zenon_L50_); trivial.
% 51.19/51.39 (* end of lemma zenon_L77_ *)
% 51.19/51.39 assert (zenon_L78_ : (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> ((op1 (e11) (e10)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e11)) = (e10)) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e12)) = (e13)) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> False).
% 51.19/51.39 do 0 intro. intros zenon_Hb0 zenon_H33 zenon_Hf6 zenon_H19 zenon_Hab zenon_H1c zenon_H2c zenon_He1 zenon_H54 zenon_Hbe zenon_H10a zenon_H10e zenon_Hcc zenon_H49 zenon_Hda.
% 51.19/51.39 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H50 | zenon_intro zenon_Hb1 ].
% 51.19/51.39 apply (zenon_L66_); trivial.
% 51.19/51.39 apply (zenon_or_s _ _ zenon_Hb1); [ zenon_intro zenon_Ha5 | zenon_intro zenon_Hb2 ].
% 51.19/51.39 apply (zenon_L33_); trivial.
% 51.19/51.39 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_Haa | zenon_intro zenon_H51 ].
% 51.19/51.39 apply (zenon_L34_); trivial.
% 51.19/51.39 apply (zenon_L77_); trivial.
% 51.19/51.39 (* end of lemma zenon_L78_ *)
% 51.19/51.39 assert (zenon_L79_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> ((op1 (e13) (e10)) = (e12)) -> (~((e10) = (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e10) = (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e12) (e10)) = (e11)) -> ((op1 (e13) (e11)) = (e10)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> ((op1 (e11) (e10)) = (e10)) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((e11) = (e13))) -> ((e11) = (op1 (e13) (e13))) -> False).
% 51.19/51.39 do 0 intro. intros zenon_Hcf zenon_H4b zenon_He8 zenon_H8c zenon_Hc2 zenon_H42 zenon_Hb8 zenon_Hc8 zenon_Hda zenon_H49 zenon_H10e zenon_H10a zenon_Hbe zenon_H54 zenon_He1 zenon_H2c zenon_H1c zenon_Hab zenon_Hf6 zenon_H33 zenon_Hb0 zenon_H3d zenon_H19.
% 51.19/51.39 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H66 | zenon_intro zenon_Hd0 ].
% 51.19/51.39 apply (zenon_L57_); trivial.
% 51.19/51.39 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hd1 ].
% 51.19/51.39 apply (zenon_L42_); trivial.
% 51.19/51.39 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hb3 ].
% 51.19/51.39 apply (zenon_L78_); trivial.
% 51.19/51.39 apply (zenon_L37_); trivial.
% 51.19/51.39 (* end of lemma zenon_L79_ *)
% 51.19/51.39 assert (zenon_L80_ : (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (~((e11) = (e13))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> ((op1 (e11) (e10)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e13))) -> (~((e12) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> False).
% 51.19/51.39 do 0 intro. intros zenon_Hfe zenon_H2b zenon_H35 zenon_H10b zenon_H3d zenon_Hb0 zenon_H33 zenon_Hf6 zenon_Hab zenon_H2c zenon_He1 zenon_H54 zenon_H10a zenon_H10e zenon_H49 zenon_Hda zenon_Hc8 zenon_Hb8 zenon_H42 zenon_H4b zenon_Hcf zenon_Hc2 zenon_H1c zenon_H19 zenon_H8c.
% 51.19/51.39 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ].
% 51.19/51.39 apply (zenon_L7_); trivial.
% 51.19/51.39 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_H34 | zenon_intro zenon_H101 ].
% 51.19/51.39 apply (zenon_L9_); trivial.
% 51.19/51.39 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_H7c | zenon_intro zenon_He8 ].
% 51.19/51.39 apply (zenon_L75_); trivial.
% 51.19/51.39 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hc9 ].
% 51.19/51.39 apply (zenon_L39_); trivial.
% 51.19/51.39 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hca ].
% 51.19/51.39 apply (zenon_L79_); trivial.
% 51.19/51.39 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H8b ].
% 51.19/51.39 apply (zenon_L41_); trivial.
% 51.19/51.39 apply (zenon_L24_); trivial.
% 51.19/51.39 (* end of lemma zenon_L80_ *)
% 51.19/51.39 assert (zenon_L81_ : (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e11))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((e10) = (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> ((op1 (e11) (e10)) = (e10)) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((e11) = (e13))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> False).
% 51.19/51.39 do 0 intro. intros zenon_Hde zenon_H8c zenon_H19 zenon_Hc2 zenon_Hcf zenon_H4b zenon_H42 zenon_Hb8 zenon_Hc8 zenon_H10e zenon_H10a zenon_H54 zenon_He1 zenon_Hf6 zenon_H33 zenon_Hb0 zenon_H3d zenon_H10b zenon_H35 zenon_H2b zenon_Hfe zenon_Hab zenon_Hd3 zenon_H2c zenon_H1c zenon_Hda.
% 51.19/51.39 apply (zenon_or_s _ _ zenon_Hde); [ zenon_intro zenon_H49 | zenon_intro zenon_Hdf ].
% 51.19/51.39 apply (zenon_L80_); trivial.
% 51.19/51.39 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_Haa | zenon_intro zenon_He0 ].
% 51.19/51.39 apply (zenon_L34_); trivial.
% 51.19/51.39 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hd2 | zenon_intro zenon_Hd9 ].
% 51.19/51.39 apply (zenon_L45_); trivial.
% 51.19/51.39 apply (zenon_L46_); trivial.
% 51.19/51.39 (* end of lemma zenon_L81_ *)
% 51.19/51.39 assert (zenon_L82_ : (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> ((op1 (e13) (e10)) = (e11)) -> False).
% 51.19/51.39 do 0 intro. intros zenon_H113 zenon_H19 zenon_H114.
% 51.19/51.39 cut (((e11) = (op1 (e13) (e13))) = ((op1 (e13) (e10)) = (op1 (e13) (e13)))).
% 51.19/51.39 intro zenon_D_pnotp.
% 51.19/51.39 apply zenon_H113.
% 51.19/51.39 rewrite <- zenon_D_pnotp.
% 51.19/51.40 exact zenon_H19.
% 51.19/51.40 cut (((op1 (e13) (e13)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H5c].
% 51.19/51.40 cut (((e11) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H115].
% 51.19/51.40 congruence.
% 51.19/51.40 elim (classic ((op1 (e13) (e10)) = (op1 (e13) (e10)))); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hbc ].
% 51.19/51.40 cut (((op1 (e13) (e10)) = (op1 (e13) (e10))) = ((e11) = (op1 (e13) (e10)))).
% 51.19/51.40 intro zenon_D_pnotp.
% 51.19/51.40 apply zenon_H115.
% 51.19/51.40 rewrite <- zenon_D_pnotp.
% 51.19/51.40 exact zenon_Hbb.
% 51.19/51.40 cut (((op1 (e13) (e10)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_Hbc].
% 51.19/51.40 cut (((op1 (e13) (e10)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H116].
% 51.19/51.40 congruence.
% 51.19/51.40 exact (zenon_H116 zenon_H114).
% 51.19/51.40 apply zenon_Hbc. apply refl_equal.
% 51.19/51.40 apply zenon_Hbc. apply refl_equal.
% 51.19/51.40 apply zenon_H5c. apply refl_equal.
% 51.19/51.40 (* end of lemma zenon_L82_ *)
% 51.19/51.40 assert (zenon_L83_ : (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (e10) (e11)) = (e11)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (~((e11) = (e13))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> ((op1 (e11) (e10)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e13))) -> (~((e12) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> False).
% 51.19/51.40 do 0 intro. intros zenon_H117 zenon_H105 zenon_H104 zenon_Hda zenon_H1c zenon_H2c zenon_Hd3 zenon_Hab zenon_Hfe zenon_H2b zenon_H35 zenon_H10b zenon_H3d zenon_Hb0 zenon_H33 zenon_Hf6 zenon_He1 zenon_H54 zenon_H10e zenon_Hc8 zenon_Hb8 zenon_H42 zenon_H4b zenon_Hcf zenon_Hc2 zenon_H8c zenon_Hde zenon_H113 zenon_H19.
% 51.19/51.40 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H3b | zenon_intro zenon_H118 ].
% 51.19/51.40 apply (zenon_L73_); trivial.
% 51.19/51.40 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H108 | zenon_intro zenon_H119 ].
% 51.19/51.40 apply (zenon_L74_); trivial.
% 51.19/51.40 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H10a | zenon_intro zenon_H114 ].
% 51.19/51.40 apply (zenon_L81_); trivial.
% 51.19/51.40 apply (zenon_L82_); trivial.
% 51.19/51.40 (* end of lemma zenon_L83_ *)
% 51.19/51.40 assert (zenon_L84_ : ((op1 (e10) (e12)) = (e10)) -> ((op1 (e10) (e12)) = (e11)) -> (~((e10) = (e11))) -> False).
% 51.19/51.40 do 0 intro. intros zenon_H22 zenon_H11a zenon_H8c.
% 51.19/51.40 elim (classic ((e11) = (e11))); [ zenon_intro zenon_H8d | zenon_intro zenon_H3a ].
% 51.19/51.40 cut (((e11) = (e11)) = ((e10) = (e11))).
% 51.19/51.40 intro zenon_D_pnotp.
% 51.19/51.40 apply zenon_H8c.
% 51.19/51.40 rewrite <- zenon_D_pnotp.
% 51.19/51.40 exact zenon_H8d.
% 51.19/51.40 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H3a].
% 51.19/51.40 cut (((e11) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H8e].
% 51.19/51.40 congruence.
% 51.19/51.40 cut (((op1 (e10) (e12)) = (e10)) = ((e11) = (e10))).
% 51.19/51.40 intro zenon_D_pnotp.
% 51.19/51.40 apply zenon_H8e.
% 51.19/51.40 rewrite <- zenon_D_pnotp.
% 51.19/51.40 exact zenon_H22.
% 51.19/51.40 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H32].
% 51.19/51.40 cut (((op1 (e10) (e12)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H11b].
% 51.19/51.40 congruence.
% 51.19/51.40 exact (zenon_H11b zenon_H11a).
% 51.19/51.40 apply zenon_H32. apply refl_equal.
% 51.19/51.40 apply zenon_H3a. apply refl_equal.
% 51.19/51.40 apply zenon_H3a. apply refl_equal.
% 51.19/51.40 (* end of lemma zenon_L84_ *)
% 51.19/51.40 assert (zenon_L85_ : (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> ((op1 (e10) (e13)) = (e11)) -> False).
% 51.19/51.40 do 0 intro. intros zenon_Hda zenon_H19 zenon_H11c.
% 51.19/51.40 cut (((e11) = (op1 (e13) (e13))) = ((op1 (e10) (e13)) = (op1 (e13) (e13)))).
% 51.19/51.40 intro zenon_D_pnotp.
% 51.19/51.40 apply zenon_Hda.
% 51.19/51.40 rewrite <- zenon_D_pnotp.
% 51.19/51.40 exact zenon_H19.
% 51.19/51.40 cut (((op1 (e13) (e13)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H5c].
% 51.19/51.40 cut (((e11) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H11d].
% 51.19/51.40 congruence.
% 51.19/51.40 elim (classic ((op1 (e10) (e13)) = (op1 (e10) (e13)))); [ zenon_intro zenon_H11e | zenon_intro zenon_H11f ].
% 51.19/51.40 cut (((op1 (e10) (e13)) = (op1 (e10) (e13))) = ((e11) = (op1 (e10) (e13)))).
% 51.19/51.40 intro zenon_D_pnotp.
% 51.19/51.40 apply zenon_H11d.
% 51.19/51.40 rewrite <- zenon_D_pnotp.
% 51.19/51.40 exact zenon_H11e.
% 51.19/51.40 cut (((op1 (e10) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H11f].
% 51.19/51.40 cut (((op1 (e10) (e13)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H120].
% 51.19/51.40 congruence.
% 51.19/51.40 exact (zenon_H120 zenon_H11c).
% 51.19/51.40 apply zenon_H11f. apply refl_equal.
% 51.19/51.40 apply zenon_H11f. apply refl_equal.
% 51.19/51.40 apply zenon_H5c. apply refl_equal.
% 51.19/51.40 (* end of lemma zenon_L85_ *)
% 51.19/51.40 assert (zenon_L86_ : ((op1 (e11) (e10)) = (e12)) -> ((op1 (e11) (e10)) = (e13)) -> (~((e12) = (e13))) -> False).
% 51.19/51.40 do 0 intro. intros zenon_H34 zenon_H41 zenon_H4b.
% 51.19/51.40 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H3e | zenon_intro zenon_H17 ].
% 51.19/51.40 cut (((e13) = (e13)) = ((e12) = (e13))).
% 51.19/51.40 intro zenon_D_pnotp.
% 51.19/51.40 apply zenon_H4b.
% 51.19/51.40 rewrite <- zenon_D_pnotp.
% 51.19/51.40 exact zenon_H3e.
% 51.19/51.40 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H17].
% 51.19/51.40 cut (((e13) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H4c].
% 51.19/51.40 congruence.
% 51.19/51.40 cut (((op1 (e11) (e10)) = (e12)) = ((e13) = (e12))).
% 51.19/51.40 intro zenon_D_pnotp.
% 51.19/51.40 apply zenon_H4c.
% 51.19/51.40 rewrite <- zenon_D_pnotp.
% 51.19/51.40 exact zenon_H34.
% 51.19/51.40 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H37].
% 51.19/51.40 cut (((op1 (e11) (e10)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H44].
% 51.19/51.40 congruence.
% 51.19/51.40 exact (zenon_H44 zenon_H41).
% 51.19/51.40 apply zenon_H37. apply refl_equal.
% 51.19/51.40 apply zenon_H17. apply refl_equal.
% 51.19/51.40 apply zenon_H17. apply refl_equal.
% 51.19/51.40 (* end of lemma zenon_L86_ *)
% 51.19/51.40 assert (zenon_L87_ : ((op1 (e12) (e10)) = (e10)) -> ((op1 (e12) (e10)) = (e13)) -> (~((e10) = (e13))) -> False).
% 51.19/51.40 do 0 intro. intros zenon_H121 zenon_He2 zenon_H42.
% 51.19/51.40 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H3e | zenon_intro zenon_H17 ].
% 51.19/51.40 cut (((e13) = (e13)) = ((e10) = (e13))).
% 51.19/51.40 intro zenon_D_pnotp.
% 51.19/51.40 apply zenon_H42.
% 51.19/51.40 rewrite <- zenon_D_pnotp.
% 51.19/51.40 exact zenon_H3e.
% 51.19/51.40 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H17].
% 51.19/51.40 cut (((e13) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H43].
% 51.19/51.40 congruence.
% 51.19/51.40 cut (((op1 (e12) (e10)) = (e10)) = ((e13) = (e10))).
% 51.19/51.40 intro zenon_D_pnotp.
% 51.19/51.40 apply zenon_H43.
% 51.19/51.40 rewrite <- zenon_D_pnotp.
% 51.19/51.40 exact zenon_H121.
% 51.19/51.40 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H32].
% 51.19/51.40 cut (((op1 (e12) (e10)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H122].
% 51.19/51.40 congruence.
% 51.19/51.40 exact (zenon_H122 zenon_He2).
% 51.19/51.40 apply zenon_H32. apply refl_equal.
% 51.19/51.40 apply zenon_H17. apply refl_equal.
% 51.19/51.40 apply zenon_H17. apply refl_equal.
% 51.19/51.40 (* end of lemma zenon_L87_ *)
% 51.19/51.40 assert (zenon_L88_ : (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e12) (e13)) = (e10)) -> False).
% 51.19/51.40 do 0 intro. intros zenon_H123 zenon_H121 zenon_H62.
% 51.19/51.40 cut (((op1 (e12) (e10)) = (e10)) = ((op1 (e12) (e10)) = (op1 (e12) (e13)))).
% 51.19/51.40 intro zenon_D_pnotp.
% 51.19/51.40 apply zenon_H123.
% 51.19/51.40 rewrite <- zenon_D_pnotp.
% 51.19/51.40 exact zenon_H121.
% 51.19/51.40 cut (((e10) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H63].
% 51.19/51.40 cut (((op1 (e12) (e10)) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H124].
% 51.19/51.40 congruence.
% 51.19/51.40 apply zenon_H124. apply refl_equal.
% 51.19/51.40 apply zenon_H63. apply sym_equal. exact zenon_H62.
% 51.19/51.40 (* end of lemma zenon_L88_ *)
% 51.19/51.40 assert (zenon_L89_ : (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e12))) -> ((op1 (e10) (e13)) = (e12)) -> (~((e10) = (e13))) -> ((op1 (e11) (e13)) = (e13)) -> ((op1 (e12) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> False).
% 51.19/51.40 do 0 intro. intros zenon_H90 zenon_H35 zenon_H49 zenon_H42 zenon_H51 zenon_H121 zenon_H123 zenon_H19 zenon_H8c.
% 51.19/51.40 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H4e | zenon_intro zenon_H91 ].
% 51.19/51.40 apply (zenon_L16_); trivial.
% 51.19/51.40 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H50 | zenon_intro zenon_H92 ].
% 51.19/51.40 apply (zenon_L17_); trivial.
% 51.19/51.40 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H62 | zenon_intro zenon_H8b ].
% 51.19/51.40 apply (zenon_L88_); trivial.
% 51.19/51.40 apply (zenon_L24_); trivial.
% 51.19/51.40 (* end of lemma zenon_L89_ *)
% 51.19/51.40 assert (zenon_L90_ : (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((op1 (e11) (e10)) = (e12)) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((e11) = (op1 (e13) (e13))) -> (~((e11) = (e13))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (e13) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e12))) -> ((op1 (e12) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((e10) = (e11))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((op1 (e11) (e13)) = (e10)) -> (~((e10) = (e13))) -> False).
% 51.19/51.40 do 0 intro. intros zenon_Hf8 zenon_H34 zenon_H46 zenon_H45 zenon_H19 zenon_H3d zenon_H49 zenon_H95 zenon_H66 zenon_H65 zenon_H9e zenon_Ha2 zenon_H90 zenon_H35 zenon_H121 zenon_H123 zenon_H8c zenon_H4b zenon_Hb5 zenon_H50 zenon_H42.
% 51.19/51.40 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H41 | zenon_intro zenon_Hf9 ].
% 51.19/51.40 apply (zenon_L86_); trivial.
% 51.19/51.40 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H47 | zenon_intro zenon_Hfa ].
% 51.19/51.40 apply (zenon_L13_); trivial.
% 51.19/51.40 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H51 ].
% 51.19/51.40 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H4a | zenon_intro zenon_Hb6 ].
% 51.19/51.40 apply (zenon_L15_); trivial.
% 51.19/51.40 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H51 | zenon_intro zenon_Hb7 ].
% 51.19/51.40 apply (zenon_L89_); trivial.
% 51.19/51.40 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb3 ].
% 51.19/51.40 apply (zenon_L32_); trivial.
% 51.19/51.40 apply (zenon_L37_); trivial.
% 51.19/51.40 apply (zenon_L17_); trivial.
% 51.19/51.40 (* end of lemma zenon_L90_ *)
% 51.19/51.40 assert (zenon_L91_ : (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e10) = (e11))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (e10)) = (e10)) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((op1 (e11) (e10)) = (e12)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((op1 (e10) (e10)) = (e11)) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((e10) = (e13))) -> ((op1 (e10) (e12)) = (e10)) -> ((op1 (e10) (e13)) = (e12)) -> (~((e12) = (e13))) -> False).
% 51.19/51.40 do 0 intro. intros zenon_Hff zenon_H8c zenon_H19 zenon_H123 zenon_H121 zenon_Hf8 zenon_H34 zenon_H45 zenon_H3d zenon_H95 zenon_H65 zenon_H9e zenon_Ha2 zenon_H90 zenon_H35 zenon_Hb5 zenon_H3b zenon_Hfb zenon_H42 zenon_H22 zenon_H49 zenon_H4b.
% 51.19/51.40 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H3c | zenon_intro zenon_H102 ].
% 51.19/51.40 apply (zenon_L11_); trivial.
% 51.19/51.40 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_H46 | zenon_intro zenon_H103 ].
% 51.19/51.40 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hfc ].
% 51.19/51.40 apply (zenon_L11_); trivial.
% 51.19/51.40 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H41 | zenon_intro zenon_Hfd ].
% 51.19/51.40 apply (zenon_L86_); trivial.
% 51.19/51.40 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_He2 | zenon_intro zenon_H66 ].
% 51.19/51.40 apply (zenon_L87_); trivial.
% 51.19/51.40 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H4e | zenon_intro zenon_H91 ].
% 51.19/51.40 apply (zenon_L16_); trivial.
% 51.19/51.40 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H50 | zenon_intro zenon_H92 ].
% 51.19/51.40 apply (zenon_L90_); trivial.
% 51.19/51.40 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H62 | zenon_intro zenon_H8b ].
% 51.19/51.40 apply (zenon_L88_); trivial.
% 51.19/51.40 apply (zenon_L24_); trivial.
% 51.19/51.40 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_He6 | zenon_intro zenon_H4a ].
% 51.19/51.40 apply (zenon_L56_); trivial.
% 51.19/51.40 apply (zenon_L15_); trivial.
% 51.19/51.40 (* end of lemma zenon_L91_ *)
% 51.19/51.40 assert (zenon_L92_ : ((op1 (e12) (e10)) = (e10)) -> ((op1 (e12) (e10)) = (e12)) -> (~((e10) = (e12))) -> False).
% 51.19/51.40 do 0 intro. intros zenon_H121 zenon_H7c zenon_H35.
% 51.19/51.40 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H36 | zenon_intro zenon_H37 ].
% 51.19/51.40 cut (((e12) = (e12)) = ((e10) = (e12))).
% 51.19/51.40 intro zenon_D_pnotp.
% 51.19/51.40 apply zenon_H35.
% 51.19/51.40 rewrite <- zenon_D_pnotp.
% 51.19/51.40 exact zenon_H36.
% 51.19/51.40 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H37].
% 51.19/51.40 cut (((e12) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H38].
% 51.19/51.40 congruence.
% 51.19/51.40 cut (((op1 (e12) (e10)) = (e10)) = ((e12) = (e10))).
% 51.19/51.40 intro zenon_D_pnotp.
% 51.19/51.40 apply zenon_H38.
% 51.19/51.40 rewrite <- zenon_D_pnotp.
% 51.19/51.40 exact zenon_H121.
% 51.19/51.40 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H32].
% 51.19/51.40 cut (((op1 (e12) (e10)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H10d].
% 51.19/51.40 congruence.
% 51.19/51.40 exact (zenon_H10d zenon_H7c).
% 51.19/51.40 apply zenon_H32. apply refl_equal.
% 51.19/51.40 apply zenon_H37. apply refl_equal.
% 51.19/51.40 apply zenon_H37. apply refl_equal.
% 51.19/51.40 (* end of lemma zenon_L92_ *)
% 51.19/51.40 assert (zenon_L93_ : (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> ((op1 (e13) (e12)) = (e13)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e11) (e13)) = (e10)) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e13))) -> ((e11) = (op1 (e13) (e13))) -> False).
% 51.19/51.40 do 0 intro. intros zenon_Hb5 zenon_H4b zenon_H42 zenon_Hda zenon_H49 zenon_Hcc zenon_H9e zenon_Hea zenon_H50 zenon_H41 zenon_He1 zenon_H3d zenon_H19.
% 51.19/51.40 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H4a | zenon_intro zenon_Hb6 ].
% 51.19/51.40 apply (zenon_L15_); trivial.
% 51.19/51.40 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H51 | zenon_intro zenon_Hb7 ].
% 51.19/51.40 apply (zenon_L17_); trivial.
% 51.19/51.40 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb3 ].
% 51.19/51.40 apply (zenon_L59_); trivial.
% 51.19/51.40 apply (zenon_L37_); trivial.
% 51.19/51.40 (* end of lemma zenon_L93_ *)
% 51.19/51.40 assert (zenon_L94_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((op1 (e13) (e10)) = (e12)) -> ((op1 (e13) (e11)) = (e10)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e10)) = (e13)) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e13))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e11) = (e13))) -> ((e11) = (op1 (e13) (e13))) -> False).
% 51.19/51.40 do 0 intro. intros zenon_Hcf zenon_He8 zenon_Hbe zenon_He1 zenon_H41 zenon_H50 zenon_Hea zenon_H9e zenon_H49 zenon_Hda zenon_H42 zenon_H4b zenon_Hb5 zenon_H3d zenon_H19.
% 51.19/51.40 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H66 | zenon_intro zenon_Hd0 ].
% 51.19/51.40 apply (zenon_L57_); trivial.
% 51.19/51.40 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hd1 ].
% 51.19/51.40 apply (zenon_L40_); trivial.
% 51.19/51.40 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hb3 ].
% 51.19/51.40 apply (zenon_L93_); trivial.
% 51.19/51.40 apply (zenon_L37_); trivial.
% 51.19/51.40 (* end of lemma zenon_L94_ *)
% 51.19/51.40 assert (zenon_L95_ : (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e12))) -> (~((e11) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e11)) = (e10)) -> ((op1 (e13) (e10)) = (e12)) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((op1 (e12) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> False).
% 51.19/51.40 do 0 intro. intros zenon_H90 zenon_H35 zenon_H3d zenon_Hb5 zenon_H4b zenon_H42 zenon_Hda zenon_H49 zenon_H9e zenon_Hea zenon_H41 zenon_He1 zenon_Hbe zenon_He8 zenon_Hcf zenon_H121 zenon_H123 zenon_H19 zenon_H8c.
% 51.19/51.40 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H4e | zenon_intro zenon_H91 ].
% 51.19/51.40 apply (zenon_L16_); trivial.
% 51.19/51.40 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H50 | zenon_intro zenon_H92 ].
% 51.19/51.40 apply (zenon_L94_); trivial.
% 51.19/51.40 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H62 | zenon_intro zenon_H8b ].
% 51.19/51.40 apply (zenon_L88_); trivial.
% 51.19/51.40 apply (zenon_L24_); trivial.
% 51.19/51.40 (* end of lemma zenon_L95_ *)
% 51.19/51.40 assert (zenon_L96_ : (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e11))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (e10)) = (e10)) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((op1 (e13) (e10)) = (e12)) -> ((op1 (e13) (e11)) = (e10)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e13))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e11) = (e13))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> False).
% 51.19/51.40 do 0 intro. intros zenon_Hde zenon_H8c zenon_H19 zenon_H123 zenon_H121 zenon_Hcf zenon_He8 zenon_Hbe zenon_He1 zenon_H41 zenon_Hea zenon_H9e zenon_H42 zenon_H4b zenon_Hb5 zenon_H3d zenon_H35 zenon_H90 zenon_Hab zenon_Hd3 zenon_H2c zenon_H1c zenon_Hda.
% 51.19/51.40 apply (zenon_or_s _ _ zenon_Hde); [ zenon_intro zenon_H49 | zenon_intro zenon_Hdf ].
% 51.19/51.40 apply (zenon_L95_); trivial.
% 51.19/51.40 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_Haa | zenon_intro zenon_He0 ].
% 51.19/51.40 apply (zenon_L34_); trivial.
% 51.19/51.40 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hd2 | zenon_intro zenon_Hd9 ].
% 51.19/51.40 apply (zenon_L45_); trivial.
% 51.19/51.40 apply (zenon_L46_); trivial.
% 51.19/51.40 (* end of lemma zenon_L96_ *)
% 51.19/51.40 assert (zenon_L97_ : (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e12))) -> (~((e11) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((e10) = (e13))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e10)) = (e12)) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((op1 (e12) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> False).
% 51.19/51.40 do 0 intro. intros zenon_Hc8 zenon_Hb8 zenon_Hda zenon_H2c zenon_Hd3 zenon_Hab zenon_H90 zenon_H35 zenon_H3d zenon_Hb5 zenon_H4b zenon_H42 zenon_H9e zenon_Hea zenon_H41 zenon_He1 zenon_He8 zenon_Hcf zenon_H121 zenon_H123 zenon_Hde zenon_Hc2 zenon_H1c zenon_H19 zenon_H8c.
% 51.19/51.40 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hc9 ].
% 51.19/51.40 apply (zenon_L39_); trivial.
% 51.19/51.40 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hca ].
% 51.19/51.40 apply (zenon_L96_); trivial.
% 51.19/51.40 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H8b ].
% 51.19/51.40 apply (zenon_L41_); trivial.
% 51.19/51.40 apply (zenon_L24_); trivial.
% 51.19/51.40 (* end of lemma zenon_L97_ *)
% 51.19/51.40 assert (zenon_L98_ : (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> ((op1 (e10) (e10)) = (e11)) -> (~((e10) = (e11))) -> ((e11) = (op1 (e13) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e11) = (e13))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e13))) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e13) (e10)) = (e12)) -> (~((e12) = (e13))) -> False).
% 51.19/51.40 do 0 intro. intros zenon_Hfb zenon_H3b zenon_H8c zenon_H19 zenon_H1c zenon_Hc2 zenon_Hde zenon_H123 zenon_Hcf zenon_He1 zenon_Hea zenon_H9e zenon_Hb5 zenon_H3d zenon_H35 zenon_H90 zenon_Hab zenon_Hd3 zenon_H2c zenon_Hda zenon_Hb8 zenon_Hc8 zenon_H42 zenon_H121 zenon_He8 zenon_H4b.
% 51.19/51.40 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hfc ].
% 51.19/51.40 apply (zenon_L11_); trivial.
% 51.19/51.40 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H41 | zenon_intro zenon_Hfd ].
% 51.19/51.40 apply (zenon_L97_); trivial.
% 51.19/51.40 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_He2 | zenon_intro zenon_H66 ].
% 51.19/51.40 apply (zenon_L87_); trivial.
% 51.19/51.40 apply (zenon_L57_); trivial.
% 51.19/51.40 (* end of lemma zenon_L98_ *)
% 51.19/51.40 assert (zenon_L99_ : ((op1 (e11) (e10)) = (e11)) -> ((op1 (e11) (e10)) = (e12)) -> (~((e11) = (e12))) -> False).
% 51.19/51.40 do 0 intro. intros zenon_H108 zenon_H34 zenon_H10b.
% 51.19/51.40 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H36 | zenon_intro zenon_H37 ].
% 51.19/51.40 cut (((e12) = (e12)) = ((e11) = (e12))).
% 51.19/51.40 intro zenon_D_pnotp.
% 51.19/51.40 apply zenon_H10b.
% 51.19/51.40 rewrite <- zenon_D_pnotp.
% 51.19/51.40 exact zenon_H36.
% 51.19/51.40 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H37].
% 51.19/51.40 cut (((e12) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H10c].
% 51.19/51.40 congruence.
% 51.19/51.40 cut (((op1 (e11) (e10)) = (e11)) = ((e12) = (e11))).
% 51.19/51.40 intro zenon_D_pnotp.
% 51.19/51.40 apply zenon_H10c.
% 51.19/51.40 rewrite <- zenon_D_pnotp.
% 51.19/51.40 exact zenon_H108.
% 51.19/51.40 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H3a].
% 51.19/51.40 cut (((op1 (e11) (e10)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H39].
% 51.19/51.40 congruence.
% 51.19/51.40 exact (zenon_H39 zenon_H34).
% 51.19/51.40 apply zenon_H3a. apply refl_equal.
% 51.19/51.40 apply zenon_H37. apply refl_equal.
% 51.19/51.40 apply zenon_H37. apply refl_equal.
% 51.19/51.40 (* end of lemma zenon_L99_ *)
% 51.19/51.40 assert (zenon_L100_ : (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e10) (e12)) = (e10)) -> ((op1 (e11) (e12)) = (e10)) -> False).
% 51.19/51.40 do 0 intro. intros zenon_H125 zenon_H22 zenon_H126.
% 51.19/51.40 cut (((op1 (e10) (e12)) = (e10)) = ((op1 (e10) (e12)) = (op1 (e11) (e12)))).
% 51.19/51.40 intro zenon_D_pnotp.
% 51.19/51.40 apply zenon_H125.
% 51.19/51.40 rewrite <- zenon_D_pnotp.
% 51.19/51.40 exact zenon_H22.
% 51.19/51.40 cut (((e10) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H127].
% 51.19/51.40 cut (((op1 (e10) (e12)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H26].
% 51.19/51.40 congruence.
% 51.19/51.40 apply zenon_H26. apply refl_equal.
% 51.19/51.40 apply zenon_H127. apply sym_equal. exact zenon_H126.
% 51.19/51.40 (* end of lemma zenon_L100_ *)
% 51.19/51.40 assert (zenon_L101_ : (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (e10)) = (e11)) -> ((op1 (e11) (e12)) = (e11)) -> False).
% 51.19/51.40 do 0 intro. intros zenon_H128 zenon_H108 zenon_H129.
% 51.19/51.40 cut (((op1 (e11) (e10)) = (e11)) = ((op1 (e11) (e10)) = (op1 (e11) (e12)))).
% 51.19/51.40 intro zenon_D_pnotp.
% 51.19/51.40 apply zenon_H128.
% 51.19/51.40 rewrite <- zenon_D_pnotp.
% 51.19/51.40 exact zenon_H108.
% 51.19/51.40 cut (((e11) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H12a].
% 51.19/51.40 cut (((op1 (e11) (e10)) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_Hf7].
% 51.19/51.40 congruence.
% 51.19/51.40 apply zenon_Hf7. apply refl_equal.
% 51.19/51.40 apply zenon_H12a. apply sym_equal. exact zenon_H129.
% 51.19/51.40 (* end of lemma zenon_L101_ *)
% 51.19/51.40 assert (zenon_L102_ : (((op1 (op1 (e11) (e10)) (op1 (e11) (e10))) = (e10))/\(((op1 (op1 (e11) (e11)) (op1 (e11) (e11))) = (e11))/\(((op1 (op1 (e11) (e12)) (op1 (e11) (e12))) = (e12))/\((op1 (op1 (e11) (e13)) (op1 (e11) (e13))) = (e13))))) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> False).
% 51.19/51.40 do 0 intro. intros zenon_H53 zenon_H12b zenon_H12c.
% 51.19/51.40 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H56. zenon_intro zenon_H55.
% 51.19/51.40 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H58. zenon_intro zenon_H57.
% 51.19/51.40 apply (zenon_and_s _ _ zenon_H57). zenon_intro zenon_H5a. zenon_intro zenon_H59.
% 51.19/51.40 elim (classic ((op1 (e12) (e12)) = (op1 (e12) (e12)))); [ zenon_intro zenon_H99 | zenon_intro zenon_H9a ].
% 51.19/51.40 cut (((op1 (e12) (e12)) = (op1 (e12) (e12))) = ((op1 (e11) (e12)) = (op1 (e12) (e12)))).
% 51.19/51.40 intro zenon_D_pnotp.
% 51.19/51.40 apply zenon_H12c.
% 51.19/51.40 rewrite <- zenon_D_pnotp.
% 51.19/51.40 exact zenon_H99.
% 51.19/51.40 cut (((op1 (e12) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H9a].
% 51.19/51.40 cut (((op1 (e12) (e12)) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H12d].
% 51.19/51.40 congruence.
% 51.19/51.40 cut (((op1 (op1 (e11) (e12)) (op1 (e11) (e12))) = (e12)) = ((op1 (e12) (e12)) = (op1 (e11) (e12)))).
% 51.19/51.40 intro zenon_D_pnotp.
% 51.19/51.40 apply zenon_H12d.
% 51.19/51.40 rewrite <- zenon_D_pnotp.
% 51.19/51.40 exact zenon_H5a.
% 51.19/51.40 cut (((e12) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H12e].
% 51.19/51.40 cut (((op1 (op1 (e11) (e12)) (op1 (e11) (e12))) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H12f].
% 51.19/51.40 congruence.
% 51.19/51.40 elim (classic ((op1 (e12) (e12)) = (op1 (e12) (e12)))); [ zenon_intro zenon_H99 | zenon_intro zenon_H9a ].
% 51.19/51.40 cut (((op1 (e12) (e12)) = (op1 (e12) (e12))) = ((op1 (op1 (e11) (e12)) (op1 (e11) (e12))) = (op1 (e12) (e12)))).
% 51.19/51.40 intro zenon_D_pnotp.
% 51.19/51.40 apply zenon_H12f.
% 51.19/51.40 rewrite <- zenon_D_pnotp.
% 51.19/51.40 exact zenon_H99.
% 51.19/51.40 cut (((op1 (e12) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H9a].
% 51.19/51.40 cut (((op1 (e12) (e12)) = (op1 (op1 (e11) (e12)) (op1 (e11) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H130].
% 51.19/51.40 congruence.
% 51.19/51.40 cut (((e12) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H12e].
% 51.19/51.40 cut (((e12) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H12e].
% 51.19/51.40 congruence.
% 51.19/51.40 apply zenon_H12e. apply sym_equal. exact zenon_H12b.
% 51.19/51.40 apply zenon_H12e. apply sym_equal. exact zenon_H12b.
% 51.19/51.40 apply zenon_H9a. apply refl_equal.
% 51.19/51.40 apply zenon_H9a. apply refl_equal.
% 51.19/51.40 apply zenon_H12e. apply sym_equal. exact zenon_H12b.
% 51.19/51.40 apply zenon_H9a. apply refl_equal.
% 51.19/51.40 apply zenon_H9a. apply refl_equal.
% 51.19/51.40 (* end of lemma zenon_L102_ *)
% 51.19/51.40 assert (zenon_L103_ : (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e12) (e13)) = (e13)) -> ((op1 (e13) (e12)) = (e13)) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> False).
% 51.19/51.40 do 0 intro. intros zenon_He1 zenon_H12c zenon_H12b zenon_H9e zenon_H96 zenon_Hcc zenon_H49 zenon_Hda.
% 51.19/51.40 apply (zenon_or_s _ _ ax10); [ zenon_intro zenon_H7f | zenon_intro zenon_H7e ].
% 51.19/51.40 apply (zenon_L48_); trivial.
% 51.19/51.40 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H53 | zenon_intro zenon_H8a ].
% 51.19/51.40 apply (zenon_L102_); trivial.
% 51.19/51.40 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H64 | zenon_intro zenon_H71 ].
% 51.19/51.40 apply (zenon_L30_); trivial.
% 51.19/51.40 apply (zenon_L50_); trivial.
% 51.19/51.40 (* end of lemma zenon_L103_ *)
% 51.19/51.40 assert (zenon_L104_ : (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e10)) = (e12)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e12) (e13)) = (e13)) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> False).
% 51.19/51.40 do 0 intro. intros zenon_Hf3 zenon_Hc2 zenon_H1c zenon_H19 zenon_Hec zenon_He8 zenon_Hf0 zenon_He1 zenon_H12c zenon_H12b zenon_H9e zenon_H96 zenon_H49 zenon_Hda.
% 51.19/51.40 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_Hc1 | zenon_intro zenon_Hf4 ].
% 51.19/51.40 apply (zenon_L41_); trivial.
% 51.19/51.40 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_Hed | zenon_intro zenon_Hf5 ].
% 51.19/51.40 apply (zenon_L63_); trivial.
% 51.19/51.40 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_Hf1 | zenon_intro zenon_Hcc ].
% 51.19/51.40 apply (zenon_L64_); trivial.
% 51.19/51.40 apply (zenon_L103_); trivial.
% 51.19/51.40 (* end of lemma zenon_L104_ *)
% 51.19/51.40 assert (zenon_L105_ : (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((e10) = (e13))) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e10)) = (e12)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((e11) = (e13))) -> ((e11) = (op1 (e13) (e13))) -> False).
% 51.19/51.40 do 0 intro. intros zenon_Hb5 zenon_H4b zenon_H42 zenon_H50 zenon_Hda zenon_H49 zenon_H9e zenon_H12b zenon_H12c zenon_He1 zenon_Hf0 zenon_He8 zenon_Hec zenon_H1c zenon_Hc2 zenon_Hf3 zenon_H3d zenon_H19.
% 51.19/51.40 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H4a | zenon_intro zenon_Hb6 ].
% 51.19/51.40 apply (zenon_L15_); trivial.
% 51.19/51.40 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H51 | zenon_intro zenon_Hb7 ].
% 51.19/51.40 apply (zenon_L17_); trivial.
% 51.19/51.40 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb3 ].
% 51.19/51.40 apply (zenon_L104_); trivial.
% 51.19/51.40 apply (zenon_L37_); trivial.
% 51.19/51.40 (* end of lemma zenon_L105_ *)
% 51.19/51.40 assert (zenon_L106_ : (((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) (e10)) = (op1 (e11) (e12)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e10)) -> (~((e10) = (e13))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e10)) = (e12)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> False).
% 51.19/51.40 do 0 intro. intros zenon_H131 zenon_H22 zenon_H125 zenon_H108 zenon_H128 zenon_H3d zenon_He1 zenon_H12c zenon_H9e zenon_H49 zenon_Hda zenon_H50 zenon_H42 zenon_H4b zenon_Hb5 zenon_Hf3 zenon_Hc2 zenon_H1c zenon_H19 zenon_Hec zenon_He8 zenon_Hf0 zenon_Hcb.
% 51.19/51.40 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_H126 | zenon_intro zenon_H132 ].
% 51.19/51.40 apply (zenon_L100_); trivial.
% 51.19/51.40 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_H129 | zenon_intro zenon_H133 ].
% 51.19/51.40 apply (zenon_L101_); trivial.
% 51.19/51.40 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H12b | zenon_intro zenon_Ha3 ].
% 51.19/51.40 apply (zenon_L105_); trivial.
% 51.19/51.40 apply (zenon_L65_); trivial.
% 51.19/51.40 (* end of lemma zenon_L106_ *)
% 51.19/51.40 assert (zenon_L107_ : (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((e11) = (e12))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (e10)) = (e11)) -> (~((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))))) -> ((op1 (e12) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> False).
% 51.19/51.40 do 0 intro. intros zenon_Hfe zenon_H2b zenon_H10b zenon_H90 zenon_H2c zenon_Hd3 zenon_Hab zenon_H35 zenon_Hde zenon_Hcb zenon_Hf0 zenon_Hec zenon_H1c zenon_Hc2 zenon_Hf3 zenon_Hb5 zenon_H4b zenon_H42 zenon_Hda zenon_H49 zenon_H9e zenon_H12c zenon_He1 zenon_H3d zenon_H128 zenon_H108 zenon_H125 zenon_H22 zenon_H131 zenon_H121 zenon_H123 zenon_H19 zenon_H8c.
% 51.19/51.40 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ].
% 51.19/51.40 apply (zenon_L7_); trivial.
% 51.19/51.40 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_H34 | zenon_intro zenon_H101 ].
% 51.19/51.40 apply (zenon_L99_); trivial.
% 51.19/51.40 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_H7c | zenon_intro zenon_He8 ].
% 51.19/51.40 apply (zenon_L92_); trivial.
% 51.19/51.40 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H4e | zenon_intro zenon_H91 ].
% 51.19/51.40 apply (zenon_L47_); trivial.
% 51.19/51.40 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H50 | zenon_intro zenon_H92 ].
% 51.19/51.40 apply (zenon_L106_); trivial.
% 51.19/51.40 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H62 | zenon_intro zenon_H8b ].
% 51.19/51.40 apply (zenon_L88_); trivial.
% 51.19/51.40 apply (zenon_L24_); trivial.
% 51.19/51.40 (* end of lemma zenon_L107_ *)
% 51.19/51.40 assert (zenon_L108_ : ((op1 (e12) (e10)) = (e10)) -> ((op1 (e12) (e10)) = (e11)) -> (~((e10) = (e11))) -> False).
% 51.19/51.40 do 0 intro. intros zenon_H121 zenon_H10a zenon_H8c.
% 51.19/51.40 elim (classic ((e11) = (e11))); [ zenon_intro zenon_H8d | zenon_intro zenon_H3a ].
% 51.19/51.40 cut (((e11) = (e11)) = ((e10) = (e11))).
% 51.19/51.40 intro zenon_D_pnotp.
% 51.19/51.40 apply zenon_H8c.
% 51.19/51.40 rewrite <- zenon_D_pnotp.
% 51.19/51.40 exact zenon_H8d.
% 51.19/51.40 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H3a].
% 51.19/51.40 cut (((e11) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H8e].
% 51.19/51.40 congruence.
% 51.19/51.40 cut (((op1 (e12) (e10)) = (e10)) = ((e11) = (e10))).
% 51.19/51.40 intro zenon_D_pnotp.
% 51.19/51.40 apply zenon_H8e.
% 51.19/51.40 rewrite <- zenon_D_pnotp.
% 51.19/51.40 exact zenon_H121.
% 51.19/51.40 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H32].
% 51.19/51.40 cut (((op1 (e12) (e10)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H134].
% 51.19/51.40 congruence.
% 51.19/51.40 exact (zenon_H134 zenon_H10a).
% 51.19/51.40 apply zenon_H32. apply refl_equal.
% 51.19/51.40 apply zenon_H3a. apply refl_equal.
% 51.19/51.40 apply zenon_H3a. apply refl_equal.
% 51.19/51.40 (* end of lemma zenon_L108_ *)
% 51.19/51.40 assert (zenon_L109_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e12)) = (e10)) -> (~((e10) = (e11))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((e11) = (e12))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((e10) = (e13))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e13))) -> (~((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 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> False).
% 51.19/51.40 do 0 intro. intros zenon_H135 zenon_H24 zenon_Hb0 zenon_Hf6 zenon_H54 zenon_H10e zenon_H7d zenon_H72 zenon_Haf zenon_Hda zenon_H22 zenon_H8c zenon_H117 zenon_H105 zenon_H2c zenon_Hd3 zenon_Hab zenon_Hfe zenon_H2b zenon_H10b zenon_H90 zenon_H35 zenon_Hde zenon_Hcb zenon_Hf0 zenon_Hec zenon_Hc2 zenon_Hf3 zenon_Hb5 zenon_H4b zenon_H42 zenon_H9e zenon_H12c zenon_He1 zenon_H3d zenon_H128 zenon_H125 zenon_H131 zenon_H123 zenon_H113 zenon_Hff zenon_Hf8 zenon_H45 zenon_H95 zenon_H65 zenon_Ha2 zenon_Hfb zenon_Hcf zenon_Hea zenon_Hc8 zenon_H136 zenon_Hb8 zenon_H1c zenon_H19.
% 51.19/51.40 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H23 | zenon_intro zenon_H137 ].
% 51.19/51.40 apply (zenon_L5_); trivial.
% 51.19/51.40 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H33 | zenon_intro zenon_H138 ].
% 51.19/51.40 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H3b | zenon_intro zenon_H139 ].
% 51.19/51.40 apply (zenon_or_s _ _ zenon_Hde); [ zenon_intro zenon_H49 | zenon_intro zenon_Hdf ].
% 51.19/51.40 apply (zenon_L72_); trivial.
% 51.19/51.40 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_Haa | zenon_intro zenon_He0 ].
% 51.19/51.40 apply (zenon_L34_); trivial.
% 51.19/51.40 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hd2 | zenon_intro zenon_Hd9 ].
% 51.19/51.40 apply (zenon_L45_); trivial.
% 51.19/51.40 apply (zenon_L46_); trivial.
% 51.19/51.40 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H104 | zenon_intro zenon_H13a ].
% 51.19/51.40 apply (zenon_L83_); trivial.
% 51.19/51.40 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H11a | zenon_intro zenon_H11c ].
% 51.19/51.40 apply (zenon_L84_); trivial.
% 51.19/51.40 apply (zenon_L85_); trivial.
% 51.19/51.40 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H121 | zenon_intro zenon_Hb9 ].
% 51.19/51.40 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H3b | zenon_intro zenon_H139 ].
% 51.19/51.40 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ].
% 51.19/51.40 apply (zenon_L7_); trivial.
% 51.19/51.40 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_H34 | zenon_intro zenon_H101 ].
% 51.19/51.40 apply (zenon_or_s _ _ zenon_Hde); [ zenon_intro zenon_H49 | zenon_intro zenon_Hdf ].
% 51.19/51.40 apply (zenon_L91_); trivial.
% 51.19/51.40 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_Haa | zenon_intro zenon_He0 ].
% 51.19/51.40 apply (zenon_L34_); trivial.
% 51.19/51.40 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hd2 | zenon_intro zenon_Hd9 ].
% 51.19/51.40 apply (zenon_L45_); trivial.
% 51.19/51.40 apply (zenon_L46_); trivial.
% 51.19/51.40 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_H7c | zenon_intro zenon_He8 ].
% 51.19/51.40 apply (zenon_L92_); trivial.
% 51.19/51.40 apply (zenon_L98_); trivial.
% 51.19/51.40 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H104 | zenon_intro zenon_H13a ].
% 51.19/51.40 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H3b | zenon_intro zenon_H118 ].
% 51.19/51.40 apply (zenon_L73_); trivial.
% 51.19/51.40 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H108 | zenon_intro zenon_H119 ].
% 51.19/51.40 apply (zenon_or_s _ _ zenon_Hde); [ zenon_intro zenon_H49 | zenon_intro zenon_Hdf ].
% 51.19/51.40 apply (zenon_L107_); trivial.
% 51.19/51.40 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_Haa | zenon_intro zenon_He0 ].
% 51.19/51.40 apply (zenon_L34_); trivial.
% 51.19/51.40 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hd2 | zenon_intro zenon_Hd9 ].
% 51.19/51.40 apply (zenon_L45_); trivial.
% 51.19/51.40 apply (zenon_L46_); trivial.
% 51.19/51.40 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H10a | zenon_intro zenon_H114 ].
% 51.19/51.40 apply (zenon_L108_); trivial.
% 51.19/51.40 apply (zenon_L82_); trivial.
% 51.19/51.40 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H11a | zenon_intro zenon_H11c ].
% 51.19/51.40 apply (zenon_L84_); trivial.
% 51.19/51.40 apply (zenon_L85_); trivial.
% 51.19/51.40 apply (zenon_L39_); trivial.
% 51.19/51.40 (* end of lemma zenon_L109_ *)
% 51.19/51.40 assert (zenon_L110_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e20) (e20)) = (e20)) -> (~((h4 (op1 (e10) (e10))) = (op2 (h4 (e10)) (h4 (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (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)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e13))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> False).
% 51.19/51.40 do 0 intro. intros zenon_H13b zenon_H14 zenon_H13 zenon_H13c zenon_H13d zenon_H1b zenon_H19 zenon_Hb8 zenon_H136 zenon_Hc8 zenon_Hea zenon_Hcf zenon_Hfb zenon_Ha2 zenon_H65 zenon_H95 zenon_H45 zenon_Hf8 zenon_Hff zenon_H113 zenon_H123 zenon_H131 zenon_H125 zenon_H128 zenon_H3d zenon_He1 zenon_H12c zenon_H9e zenon_H42 zenon_H4b zenon_Hb5 zenon_Hf3 zenon_Hc2 zenon_Hec zenon_Hf0 zenon_Hcb zenon_H90 zenon_H10b zenon_H2b zenon_Hfe zenon_H105 zenon_H117 zenon_H8c zenon_Haf zenon_H72 zenon_H7d zenon_H10e zenon_H54 zenon_Hf6 zenon_Hb0 zenon_H24 zenon_H135 zenon_Hde zenon_H35 zenon_Hab zenon_Hd3 zenon_H2c zenon_H1c zenon_Hda.
% 51.19/51.40 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H23 | zenon_intro zenon_H13e ].
% 51.19/51.40 cut (((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) = ((h4 (op1 (e10) (e10))) = (op2 (h4 (e10)) (h4 (e10))))).
% 51.19/51.40 intro zenon_D_pnotp.
% 51.19/51.40 apply zenon_H13d.
% 51.19/51.40 rewrite <- zenon_D_pnotp.
% 51.19/51.40 exact zenon_H13.
% 51.19/51.40 cut (((op2 (e23) (op2 (e23) (e23))) = (op2 (h4 (e10)) (h4 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H13f].
% 51.19/51.40 cut (((h4 (e10)) = (h4 (op1 (e10) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H140].
% 51.19/51.40 congruence.
% 51.19/51.40 elim (classic ((h4 (op1 (e10) (e10))) = (h4 (op1 (e10) (e10))))); [ zenon_intro zenon_H141 | zenon_intro zenon_H142 ].
% 51.19/51.40 cut (((h4 (op1 (e10) (e10))) = (h4 (op1 (e10) (e10)))) = ((h4 (e10)) = (h4 (op1 (e10) (e10))))).
% 51.19/51.40 intro zenon_D_pnotp.
% 51.19/51.40 apply zenon_H140.
% 51.19/51.40 rewrite <- zenon_D_pnotp.
% 51.19/51.40 exact zenon_H141.
% 51.19/51.40 cut (((h4 (op1 (e10) (e10))) = (h4 (op1 (e10) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H142].
% 51.19/51.40 cut (((h4 (op1 (e10) (e10))) = (h4 (e10)))); [idtac | apply NNPP; zenon_intro zenon_H143].
% 51.19/51.40 congruence.
% 51.19/51.40 cut (((op1 (e10) (e10)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H144].
% 51.19/51.40 congruence.
% 51.19/51.40 exact (zenon_H144 zenon_H23).
% 51.19/51.40 apply zenon_H142. apply refl_equal.
% 51.19/51.40 apply zenon_H142. apply refl_equal.
% 51.19/51.40 elim (classic ((op2 (h4 (e10)) (h4 (e10))) = (op2 (h4 (e10)) (h4 (e10))))); [ zenon_intro zenon_H145 | zenon_intro zenon_H146 ].
% 51.19/51.40 cut (((op2 (h4 (e10)) (h4 (e10))) = (op2 (h4 (e10)) (h4 (e10)))) = ((op2 (e23) (op2 (e23) (e23))) = (op2 (h4 (e10)) (h4 (e10))))).
% 51.19/51.40 intro zenon_D_pnotp.
% 51.19/51.40 apply zenon_H13f.
% 51.19/51.40 rewrite <- zenon_D_pnotp.
% 51.19/51.40 exact zenon_H145.
% 51.19/51.40 cut (((op2 (h4 (e10)) (h4 (e10))) = (op2 (h4 (e10)) (h4 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H146].
% 51.19/51.40 cut (((op2 (h4 (e10)) (h4 (e10))) = (op2 (e23) (op2 (e23) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H147].
% 51.19/51.40 congruence.
% 51.19/51.40 cut (((op2 (e20) (e20)) = (e20)) = ((op2 (h4 (e10)) (h4 (e10))) = (op2 (e23) (op2 (e23) (e23))))).
% 51.19/51.40 intro zenon_D_pnotp.
% 51.19/51.40 apply zenon_H147.
% 51.19/51.40 rewrite <- zenon_D_pnotp.
% 51.19/51.40 exact zenon_H13c.
% 51.19/51.40 cut (((e20) = (op2 (e23) (op2 (e23) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H148].
% 51.19/51.40 cut (((op2 (e20) (e20)) = (op2 (h4 (e10)) (h4 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H149].
% 51.19/51.40 congruence.
% 51.19/51.40 elim (classic ((op2 (h4 (e10)) (h4 (e10))) = (op2 (h4 (e10)) (h4 (e10))))); [ zenon_intro zenon_H145 | zenon_intro zenon_H146 ].
% 51.19/51.40 cut (((op2 (h4 (e10)) (h4 (e10))) = (op2 (h4 (e10)) (h4 (e10)))) = ((op2 (e20) (e20)) = (op2 (h4 (e10)) (h4 (e10))))).
% 51.19/51.40 intro zenon_D_pnotp.
% 51.19/51.40 apply zenon_H149.
% 51.19/51.40 rewrite <- zenon_D_pnotp.
% 51.19/51.40 exact zenon_H145.
% 51.19/51.40 cut (((op2 (h4 (e10)) (h4 (e10))) = (op2 (h4 (e10)) (h4 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H146].
% 51.19/51.40 cut (((op2 (h4 (e10)) (h4 (e10))) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H14a].
% 51.19/51.40 congruence.
% 51.19/51.40 cut (((h4 (e10)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H12].
% 51.19/51.40 cut (((h4 (e10)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H12].
% 51.19/51.40 congruence.
% 51.19/51.40 apply (zenon_L1_); trivial.
% 51.19/51.40 apply (zenon_L1_); trivial.
% 51.19/51.40 apply zenon_H146. apply refl_equal.
% 51.19/51.40 apply zenon_H146. apply refl_equal.
% 51.19/51.40 exact (zenon_H148 zenon_H14).
% 51.19/51.40 apply zenon_H146. apply refl_equal.
% 51.19/51.40 apply zenon_H146. apply refl_equal.
% 51.19/51.40 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H1d | zenon_intro zenon_H14b ].
% 51.19/51.40 apply (zenon_L4_); trivial.
% 51.19/51.40 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H22 | zenon_intro zenon_H4e ].
% 51.19/51.40 apply (zenon_L109_); trivial.
% 51.19/51.40 apply (zenon_L47_); trivial.
% 51.19/51.40 (* end of lemma zenon_L110_ *)
% 51.19/51.40 assert (zenon_L111_ : (~((e23) = (e23))) -> False).
% 51.19/51.40 do 0 intro. intros zenon_H14c.
% 51.19/51.40 apply zenon_H14c. apply refl_equal.
% 51.19/51.40 (* end of lemma zenon_L111_ *)
% 51.19/51.40 assert (zenon_L112_ : (~((op2 (e23) (op2 (e23) (e23))) = (op2 (e23) (e21)))) -> ((e21) = (op2 (e23) (e23))) -> False).
% 51.19/51.40 do 0 intro. intros zenon_H14d zenon_H14e.
% 51.19/51.40 cut (((op2 (e23) (e23)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H14f].
% 51.19/51.40 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H14c].
% 51.19/51.40 congruence.
% 51.19/51.40 apply zenon_H14c. apply refl_equal.
% 51.19/51.40 apply zenon_H14f. apply sym_equal. exact zenon_H14e.
% 51.19/51.40 (* end of lemma zenon_L112_ *)
% 51.19/51.40 assert (zenon_L113_ : (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e20) (e21)) = (e20)) -> ((e21) = (op2 (e23) (e23))) -> False).
% 51.19/51.40 do 0 intro. intros zenon_H150 zenon_H14 zenon_H151 zenon_H14e.
% 51.19/51.40 cut (((e20) = (op2 (e23) (op2 (e23) (e23)))) = ((op2 (e20) (e21)) = (op2 (e23) (e21)))).
% 51.19/51.40 intro zenon_D_pnotp.
% 51.19/51.40 apply zenon_H150.
% 51.19/51.40 rewrite <- zenon_D_pnotp.
% 51.19/51.40 exact zenon_H14.
% 51.19/51.40 cut (((op2 (e23) (op2 (e23) (e23))) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H14d].
% 51.19/51.40 cut (((e20) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H152].
% 51.19/51.40 congruence.
% 51.19/51.40 elim (classic ((op2 (e20) (e21)) = (op2 (e20) (e21)))); [ zenon_intro zenon_H153 | zenon_intro zenon_H154 ].
% 51.19/51.40 cut (((op2 (e20) (e21)) = (op2 (e20) (e21))) = ((e20) = (op2 (e20) (e21)))).
% 51.19/51.40 intro zenon_D_pnotp.
% 51.19/51.40 apply zenon_H152.
% 51.19/51.40 rewrite <- zenon_D_pnotp.
% 51.19/51.40 exact zenon_H153.
% 51.19/51.40 cut (((op2 (e20) (e21)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H154].
% 51.19/51.40 cut (((op2 (e20) (e21)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H155].
% 51.19/51.40 congruence.
% 51.19/51.40 exact (zenon_H155 zenon_H151).
% 51.19/51.40 apply zenon_H154. apply refl_equal.
% 51.19/51.40 apply zenon_H154. apply refl_equal.
% 51.19/51.40 apply (zenon_L112_); trivial.
% 51.19/51.40 (* end of lemma zenon_L113_ *)
% 51.19/51.40 assert (zenon_L114_ : ((op2 (e20) (e22)) = (e20)) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> False).
% 51.19/51.40 do 0 intro. intros zenon_H156 zenon_H13c zenon_H157.
% 51.19/51.40 elim (classic ((op2 (e20) (e22)) = (op2 (e20) (e22)))); [ zenon_intro zenon_H158 | zenon_intro zenon_H159 ].
% 51.19/51.40 cut (((op2 (e20) (e22)) = (op2 (e20) (e22))) = ((op2 (e20) (e20)) = (op2 (e20) (e22)))).
% 51.19/51.40 intro zenon_D_pnotp.
% 51.19/51.40 apply zenon_H157.
% 51.19/51.40 rewrite <- zenon_D_pnotp.
% 51.19/51.40 exact zenon_H158.
% 51.19/51.40 cut (((op2 (e20) (e22)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H159].
% 51.19/51.40 cut (((op2 (e20) (e22)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H15a].
% 51.19/51.40 congruence.
% 51.19/51.40 cut (((op2 (e20) (e22)) = (e20)) = ((op2 (e20) (e22)) = (op2 (e20) (e20)))).
% 51.19/51.40 intro zenon_D_pnotp.
% 51.19/51.40 apply zenon_H15a.
% 51.19/51.40 rewrite <- zenon_D_pnotp.
% 51.19/51.40 exact zenon_H156.
% 51.19/51.40 cut (((e20) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H15b].
% 51.19/51.40 cut (((op2 (e20) (e22)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H159].
% 51.19/51.40 congruence.
% 51.19/51.40 apply zenon_H159. apply refl_equal.
% 51.19/51.40 apply zenon_H15b. apply sym_equal. exact zenon_H13c.
% 51.19/51.40 apply zenon_H159. apply refl_equal.
% 51.19/51.40 apply zenon_H159. apply refl_equal.
% 51.19/51.40 (* end of lemma zenon_L114_ *)
% 51.19/51.40 assert (zenon_L115_ : (~((op2 (op2 (e23) (op2 (e23) (e23))) (e23)) = (op2 (e20) (e23)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> False).
% 51.19/51.40 do 0 intro. intros zenon_H15c zenon_H14.
% 51.19/51.40 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H14c].
% 51.19/51.40 cut (((op2 (e23) (op2 (e23) (e23))) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H15].
% 51.19/51.40 congruence.
% 51.19/51.40 apply zenon_H15. apply sym_equal. exact zenon_H14.
% 51.19/51.40 apply zenon_H14c. apply refl_equal.
% 51.19/51.40 (* end of lemma zenon_L115_ *)
% 51.19/51.40 assert (zenon_L116_ : (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((op2 (e20) (e20)) = (e22)) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> False).
% 51.19/51.40 do 0 intro. intros zenon_H15d zenon_H15e zenon_H15f zenon_H14.
% 51.19/51.40 cut (((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) = ((op2 (e20) (e20)) = (op2 (e20) (e23)))).
% 51.19/51.40 intro zenon_D_pnotp.
% 51.19/51.40 apply zenon_H15d.
% 51.19/51.40 rewrite <- zenon_D_pnotp.
% 51.19/51.40 exact zenon_H15e.
% 51.19/51.40 cut (((op2 (op2 (e23) (op2 (e23) (e23))) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H15c].
% 51.19/51.40 cut (((e22) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H160].
% 51.19/51.40 congruence.
% 51.19/51.40 elim (classic ((op2 (e20) (e20)) = (op2 (e20) (e20)))); [ zenon_intro zenon_H161 | zenon_intro zenon_H162 ].
% 51.19/51.40 cut (((op2 (e20) (e20)) = (op2 (e20) (e20))) = ((e22) = (op2 (e20) (e20)))).
% 51.19/51.40 intro zenon_D_pnotp.
% 51.19/51.40 apply zenon_H160.
% 51.19/51.40 rewrite <- zenon_D_pnotp.
% 51.19/51.40 exact zenon_H161.
% 51.19/51.40 cut (((op2 (e20) (e20)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H162].
% 51.19/51.40 cut (((op2 (e20) (e20)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H163].
% 51.19/51.40 congruence.
% 51.19/51.40 exact (zenon_H163 zenon_H15f).
% 51.19/51.40 apply zenon_H162. apply refl_equal.
% 51.19/51.40 apply zenon_H162. apply refl_equal.
% 51.19/51.40 apply (zenon_L115_); trivial.
% 51.19/51.40 (* end of lemma zenon_L116_ *)
% 51.19/51.40 assert (zenon_L117_ : (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((op2 (e20) (e21)) = (e22)) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> False).
% 51.19/51.40 do 0 intro. intros zenon_H164 zenon_H15e zenon_H165 zenon_H14.
% 51.19/51.40 cut (((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) = ((op2 (e20) (e21)) = (op2 (e20) (e23)))).
% 51.19/51.40 intro zenon_D_pnotp.
% 51.19/51.40 apply zenon_H164.
% 51.19/51.40 rewrite <- zenon_D_pnotp.
% 51.19/51.40 exact zenon_H15e.
% 51.19/51.40 cut (((op2 (op2 (e23) (op2 (e23) (e23))) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H15c].
% 51.19/51.40 cut (((e22) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H166].
% 51.19/51.40 congruence.
% 51.19/51.40 elim (classic ((op2 (e20) (e21)) = (op2 (e20) (e21)))); [ zenon_intro zenon_H153 | zenon_intro zenon_H154 ].
% 51.19/51.40 cut (((op2 (e20) (e21)) = (op2 (e20) (e21))) = ((e22) = (op2 (e20) (e21)))).
% 51.19/51.40 intro zenon_D_pnotp.
% 51.19/51.40 apply zenon_H166.
% 51.19/51.40 rewrite <- zenon_D_pnotp.
% 51.19/51.40 exact zenon_H153.
% 51.19/51.40 cut (((op2 (e20) (e21)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H154].
% 51.19/51.40 cut (((op2 (e20) (e21)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H167].
% 51.19/51.40 congruence.
% 51.19/51.40 exact (zenon_H167 zenon_H165).
% 51.19/51.40 apply zenon_H154. apply refl_equal.
% 51.19/51.40 apply zenon_H154. apply refl_equal.
% 51.19/51.40 apply (zenon_L115_); trivial.
% 51.19/51.40 (* end of lemma zenon_L117_ *)
% 51.19/51.40 assert (zenon_L118_ : (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((op2 (e20) (e22)) = (e22)) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> False).
% 51.19/51.40 do 0 intro. intros zenon_H168 zenon_H15e zenon_H169 zenon_H14.
% 51.19/51.40 cut (((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) = ((op2 (e20) (e22)) = (op2 (e20) (e23)))).
% 51.19/51.40 intro zenon_D_pnotp.
% 51.19/51.40 apply zenon_H168.
% 51.19/51.40 rewrite <- zenon_D_pnotp.
% 51.19/51.40 exact zenon_H15e.
% 51.19/51.40 cut (((op2 (op2 (e23) (op2 (e23) (e23))) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H15c].
% 51.19/51.40 cut (((e22) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H16a].
% 51.19/51.40 congruence.
% 51.19/51.40 elim (classic ((op2 (e20) (e22)) = (op2 (e20) (e22)))); [ zenon_intro zenon_H158 | zenon_intro zenon_H159 ].
% 51.19/51.40 cut (((op2 (e20) (e22)) = (op2 (e20) (e22))) = ((e22) = (op2 (e20) (e22)))).
% 51.19/51.40 intro zenon_D_pnotp.
% 51.19/51.40 apply zenon_H16a.
% 51.19/51.40 rewrite <- zenon_D_pnotp.
% 51.19/51.40 exact zenon_H158.
% 51.19/51.40 cut (((op2 (e20) (e22)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H159].
% 51.19/51.40 cut (((op2 (e20) (e22)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H16b].
% 51.19/51.40 congruence.
% 51.19/51.40 exact (zenon_H16b zenon_H169).
% 51.19/51.40 apply zenon_H159. apply refl_equal.
% 51.19/51.40 apply zenon_H159. apply refl_equal.
% 51.19/51.40 apply (zenon_L115_); trivial.
% 51.19/51.40 (* end of lemma zenon_L118_ *)
% 51.19/51.40 assert (zenon_L119_ : (~((e20) = (e20))) -> False).
% 51.19/51.40 do 0 intro. intros zenon_H16c.
% 51.19/51.40 apply zenon_H16c. apply refl_equal.
% 51.19/51.40 (* end of lemma zenon_L119_ *)
% 51.19/51.40 assert (zenon_L120_ : ((op2 (e21) (e20)) = (e20)) -> ((op2 (e21) (e20)) = (e22)) -> (~((e20) = (e22))) -> False).
% 51.19/51.40 do 0 intro. intros zenon_H16d zenon_H16e zenon_H16f.
% 51.19/51.40 elim (classic ((e22) = (e22))); [ zenon_intro zenon_H170 | zenon_intro zenon_H171 ].
% 51.19/51.40 cut (((e22) = (e22)) = ((e20) = (e22))).
% 51.19/51.40 intro zenon_D_pnotp.
% 51.19/51.40 apply zenon_H16f.
% 51.19/51.40 rewrite <- zenon_D_pnotp.
% 51.19/51.40 exact zenon_H170.
% 51.19/51.40 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H171].
% 51.19/51.40 cut (((e22) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H172].
% 51.19/51.40 congruence.
% 51.19/51.40 cut (((op2 (e21) (e20)) = (e20)) = ((e22) = (e20))).
% 51.19/51.40 intro zenon_D_pnotp.
% 51.19/51.40 apply zenon_H172.
% 51.19/51.40 rewrite <- zenon_D_pnotp.
% 51.19/51.40 exact zenon_H16d.
% 51.19/51.40 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H16c].
% 51.19/51.40 cut (((op2 (e21) (e20)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H173].
% 51.19/51.40 congruence.
% 51.19/51.40 exact (zenon_H173 zenon_H16e).
% 51.19/51.40 apply zenon_H16c. apply refl_equal.
% 51.19/51.40 apply zenon_H171. apply refl_equal.
% 51.19/51.40 apply zenon_H171. apply refl_equal.
% 51.19/51.40 (* end of lemma zenon_L120_ *)
% 51.19/51.40 assert (zenon_L121_ : (~((op2 (op2 (e23) (op2 (e23) (e23))) (e23)) = (op2 (e22) (e20)))) -> ((op2 (e20) (e23)) = (e22)) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e22) (e20)) = (e22)) -> False).
% 51.19/51.40 do 0 intro. intros zenon_H174 zenon_H175 zenon_H14 zenon_H176.
% 51.19/51.40 cut (((op2 (e20) (e23)) = (e22)) = ((op2 (op2 (e23) (op2 (e23) (e23))) (e23)) = (op2 (e22) (e20)))).
% 51.19/51.40 intro zenon_D_pnotp.
% 51.19/51.40 apply zenon_H174.
% 51.19/51.40 rewrite <- zenon_D_pnotp.
% 51.19/51.40 exact zenon_H175.
% 51.19/51.40 cut (((e22) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H177].
% 51.19/51.40 cut (((op2 (e20) (e23)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H178].
% 51.19/51.40 congruence.
% 51.19/51.40 elim (classic ((op2 (op2 (e23) (op2 (e23) (e23))) (e23)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23)))); [ zenon_intro zenon_H179 | zenon_intro zenon_H17a ].
% 51.19/51.40 cut (((op2 (op2 (e23) (op2 (e23) (e23))) (e23)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) = ((op2 (e20) (e23)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23)))).
% 51.19/51.40 intro zenon_D_pnotp.
% 51.19/51.40 apply zenon_H178.
% 51.19/51.40 rewrite <- zenon_D_pnotp.
% 51.19/51.40 exact zenon_H179.
% 51.19/51.40 cut (((op2 (op2 (e23) (op2 (e23) (e23))) (e23)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H17a].
% 51.19/51.40 cut (((op2 (op2 (e23) (op2 (e23) (e23))) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H15c].
% 51.19/51.40 congruence.
% 51.19/51.40 apply (zenon_L115_); trivial.
% 51.19/51.40 apply zenon_H17a. apply refl_equal.
% 51.19/51.40 apply zenon_H17a. apply refl_equal.
% 51.19/51.40 apply zenon_H177. apply sym_equal. exact zenon_H176.
% 51.19/51.40 (* end of lemma zenon_L121_ *)
% 51.19/51.40 assert (zenon_L122_ : (~((op2 (op2 (e23) (op2 (e23) (e23))) (e23)) = (op2 (e21) (e21)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e22) (e20)) = (e22)) -> ((op2 (e20) (e23)) = (e22)) -> ((op2 (e21) (e21)) = (e22)) -> False).
% 51.19/51.40 do 0 intro. intros zenon_H17b zenon_H14 zenon_H176 zenon_H175 zenon_H17c.
% 51.19/51.40 cut (((op2 (e22) (e20)) = (e22)) = ((op2 (op2 (e23) (op2 (e23) (e23))) (e23)) = (op2 (e21) (e21)))).
% 51.19/51.40 intro zenon_D_pnotp.
% 51.19/51.40 apply zenon_H17b.
% 51.19/51.40 rewrite <- zenon_D_pnotp.
% 51.19/51.40 exact zenon_H176.
% 51.19/51.40 cut (((e22) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H17d].
% 51.19/51.40 cut (((op2 (e22) (e20)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H17e].
% 51.19/51.40 congruence.
% 51.19/51.40 elim (classic ((op2 (op2 (e23) (op2 (e23) (e23))) (e23)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23)))); [ zenon_intro zenon_H179 | zenon_intro zenon_H17a ].
% 51.19/51.40 cut (((op2 (op2 (e23) (op2 (e23) (e23))) (e23)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) = ((op2 (e22) (e20)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23)))).
% 51.19/51.40 intro zenon_D_pnotp.
% 51.19/51.40 apply zenon_H17e.
% 51.19/51.40 rewrite <- zenon_D_pnotp.
% 51.19/51.40 exact zenon_H179.
% 51.19/51.40 cut (((op2 (op2 (e23) (op2 (e23) (e23))) (e23)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H17a].
% 51.19/51.40 cut (((op2 (op2 (e23) (op2 (e23) (e23))) (e23)) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H174].
% 51.19/51.40 congruence.
% 51.19/51.40 apply (zenon_L121_); trivial.
% 51.19/51.40 apply zenon_H17a. apply refl_equal.
% 51.19/51.40 apply zenon_H17a. apply refl_equal.
% 51.19/51.40 apply zenon_H17d. apply sym_equal. exact zenon_H17c.
% 51.19/51.40 (* end of lemma zenon_L122_ *)
% 51.19/51.40 assert (zenon_L123_ : ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((op2 (e21) (e22)) = (e22)) -> ((op2 (e21) (e21)) = (e22)) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e22) (e20)) = (e22)) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> False).
% 51.19/51.40 do 0 intro. intros zenon_H15e zenon_H17f zenon_H17c zenon_H14 zenon_H176 zenon_H175 zenon_H180.
% 51.19/51.40 elim (classic ((op2 (e21) (e22)) = (op2 (e21) (e22)))); [ zenon_intro zenon_H181 | zenon_intro zenon_H182 ].
% 51.19/51.40 cut (((op2 (e21) (e22)) = (op2 (e21) (e22))) = ((op2 (e21) (e21)) = (op2 (e21) (e22)))).
% 51.19/51.40 intro zenon_D_pnotp.
% 51.19/51.40 apply zenon_H180.
% 51.19/51.40 rewrite <- zenon_D_pnotp.
% 51.19/51.40 exact zenon_H181.
% 51.19/51.40 cut (((op2 (e21) (e22)) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H182].
% 51.19/51.40 cut (((op2 (e21) (e22)) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H183].
% 51.19/51.40 congruence.
% 51.19/51.40 cut (((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) = ((op2 (e21) (e22)) = (op2 (e21) (e21)))).
% 51.19/51.40 intro zenon_D_pnotp.
% 51.19/51.40 apply zenon_H183.
% 51.19/51.40 rewrite <- zenon_D_pnotp.
% 51.19/51.40 exact zenon_H15e.
% 51.19/51.40 cut (((op2 (op2 (e23) (op2 (e23) (e23))) (e23)) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H17b].
% 51.19/51.40 cut (((e22) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H184].
% 51.19/51.40 congruence.
% 51.19/51.40 elim (classic ((op2 (e21) (e22)) = (op2 (e21) (e22)))); [ zenon_intro zenon_H181 | zenon_intro zenon_H182 ].
% 51.19/51.40 cut (((op2 (e21) (e22)) = (op2 (e21) (e22))) = ((e22) = (op2 (e21) (e22)))).
% 51.19/51.40 intro zenon_D_pnotp.
% 51.19/51.40 apply zenon_H184.
% 51.19/51.40 rewrite <- zenon_D_pnotp.
% 51.19/51.40 exact zenon_H181.
% 51.19/51.40 cut (((op2 (e21) (e22)) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H182].
% 51.19/51.40 cut (((op2 (e21) (e22)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H185].
% 51.19/51.40 congruence.
% 51.19/51.40 exact (zenon_H185 zenon_H17f).
% 51.19/51.40 apply zenon_H182. apply refl_equal.
% 51.19/51.40 apply zenon_H182. apply refl_equal.
% 51.19/51.40 apply (zenon_L122_); trivial.
% 51.19/51.40 apply zenon_H182. apply refl_equal.
% 51.19/51.40 apply zenon_H182. apply refl_equal.
% 51.19/51.40 (* end of lemma zenon_L123_ *)
% 51.19/51.40 assert (zenon_L124_ : ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((op2 (e21) (e23)) = (e22)) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> False).
% 51.19/51.40 do 0 intro. intros zenon_H15e zenon_H186 zenon_H14 zenon_H187.
% 51.19/51.40 elim (classic ((op2 (e21) (e23)) = (op2 (e21) (e23)))); [ zenon_intro zenon_H188 | zenon_intro zenon_H189 ].
% 51.19/51.40 cut (((op2 (e21) (e23)) = (op2 (e21) (e23))) = ((op2 (e20) (e23)) = (op2 (e21) (e23)))).
% 51.19/51.40 intro zenon_D_pnotp.
% 51.19/51.40 apply zenon_H187.
% 51.19/51.40 rewrite <- zenon_D_pnotp.
% 51.19/51.40 exact zenon_H188.
% 51.19/51.40 cut (((op2 (e21) (e23)) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H189].
% 51.19/51.40 cut (((op2 (e21) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H18a].
% 51.19/51.40 congruence.
% 51.19/51.40 cut (((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) = ((op2 (e21) (e23)) = (op2 (e20) (e23)))).
% 51.19/51.40 intro zenon_D_pnotp.
% 51.19/51.40 apply zenon_H18a.
% 51.19/51.40 rewrite <- zenon_D_pnotp.
% 51.19/51.40 exact zenon_H15e.
% 51.19/51.40 cut (((op2 (op2 (e23) (op2 (e23) (e23))) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H15c].
% 51.19/51.40 cut (((e22) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H18b].
% 51.19/51.40 congruence.
% 51.19/51.40 elim (classic ((op2 (e21) (e23)) = (op2 (e21) (e23)))); [ zenon_intro zenon_H188 | zenon_intro zenon_H189 ].
% 51.19/51.40 cut (((op2 (e21) (e23)) = (op2 (e21) (e23))) = ((e22) = (op2 (e21) (e23)))).
% 51.19/51.40 intro zenon_D_pnotp.
% 51.19/51.40 apply zenon_H18b.
% 51.19/51.40 rewrite <- zenon_D_pnotp.
% 51.19/51.40 exact zenon_H188.
% 51.19/51.40 cut (((op2 (e21) (e23)) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H189].
% 51.19/51.40 cut (((op2 (e21) (e23)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H18c].
% 51.19/51.40 congruence.
% 51.19/51.40 exact (zenon_H18c zenon_H186).
% 51.19/51.40 apply zenon_H189. apply refl_equal.
% 51.19/51.40 apply zenon_H189. apply refl_equal.
% 51.19/51.40 apply (zenon_L115_); trivial.
% 51.19/51.40 apply zenon_H189. apply refl_equal.
% 51.19/51.40 apply zenon_H189. apply refl_equal.
% 51.19/51.40 (* end of lemma zenon_L124_ *)
% 51.19/51.40 assert (zenon_L125_ : ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((op2 (e22) (e23)) = (e22)) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> False).
% 51.19/51.40 do 0 intro. intros zenon_H15e zenon_H18d zenon_H14 zenon_H18e.
% 51.19/51.40 elim (classic ((op2 (e22) (e23)) = (op2 (e22) (e23)))); [ zenon_intro zenon_H18f | zenon_intro zenon_H190 ].
% 51.19/51.40 cut (((op2 (e22) (e23)) = (op2 (e22) (e23))) = ((op2 (e20) (e23)) = (op2 (e22) (e23)))).
% 51.19/51.40 intro zenon_D_pnotp.
% 51.19/51.40 apply zenon_H18e.
% 51.19/51.40 rewrite <- zenon_D_pnotp.
% 51.19/51.40 exact zenon_H18f.
% 51.19/51.40 cut (((op2 (e22) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H190].
% 51.19/51.40 cut (((op2 (e22) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H191].
% 51.19/51.40 congruence.
% 51.19/51.40 cut (((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) = ((op2 (e22) (e23)) = (op2 (e20) (e23)))).
% 51.19/51.40 intro zenon_D_pnotp.
% 51.19/51.40 apply zenon_H191.
% 51.19/51.40 rewrite <- zenon_D_pnotp.
% 51.19/51.40 exact zenon_H15e.
% 51.19/51.40 cut (((op2 (op2 (e23) (op2 (e23) (e23))) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H15c].
% 51.19/51.40 cut (((e22) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H192].
% 51.19/51.40 congruence.
% 51.19/51.40 elim (classic ((op2 (e22) (e23)) = (op2 (e22) (e23)))); [ zenon_intro zenon_H18f | zenon_intro zenon_H190 ].
% 51.19/51.40 cut (((op2 (e22) (e23)) = (op2 (e22) (e23))) = ((e22) = (op2 (e22) (e23)))).
% 51.19/51.40 intro zenon_D_pnotp.
% 51.19/51.40 apply zenon_H192.
% 51.19/51.40 rewrite <- zenon_D_pnotp.
% 51.19/51.40 exact zenon_H18f.
% 51.19/51.40 cut (((op2 (e22) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H190].
% 51.19/51.40 cut (((op2 (e22) (e23)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H193].
% 51.19/51.40 congruence.
% 51.19/51.40 exact (zenon_H193 zenon_H18d).
% 51.19/51.40 apply zenon_H190. apply refl_equal.
% 51.19/51.40 apply zenon_H190. apply refl_equal.
% 51.19/51.40 apply (zenon_L115_); trivial.
% 51.19/51.40 apply zenon_H190. apply refl_equal.
% 51.19/51.40 apply zenon_H190. apply refl_equal.
% 51.19/51.40 (* end of lemma zenon_L125_ *)
% 51.19/51.40 assert (zenon_L126_ : ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((op2 (e23) (e23)) = (e22)) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> False).
% 51.19/51.40 do 0 intro. intros zenon_H15e zenon_H194 zenon_H14 zenon_H195.
% 51.19/51.40 elim (classic ((op2 (e23) (e23)) = (op2 (e23) (e23)))); [ zenon_intro zenon_H196 | zenon_intro zenon_H197 ].
% 51.19/51.40 cut (((op2 (e23) (e23)) = (op2 (e23) (e23))) = ((op2 (e20) (e23)) = (op2 (e23) (e23)))).
% 51.19/51.40 intro zenon_D_pnotp.
% 51.19/51.40 apply zenon_H195.
% 51.19/51.40 rewrite <- zenon_D_pnotp.
% 51.19/51.40 exact zenon_H196.
% 51.19/51.40 cut (((op2 (e23) (e23)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H197].
% 51.19/51.40 cut (((op2 (e23) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H198].
% 51.19/51.40 congruence.
% 51.19/51.40 cut (((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) = ((op2 (e23) (e23)) = (op2 (e20) (e23)))).
% 51.19/51.40 intro zenon_D_pnotp.
% 51.19/51.40 apply zenon_H198.
% 51.19/51.40 rewrite <- zenon_D_pnotp.
% 51.19/51.40 exact zenon_H15e.
% 51.19/51.40 cut (((op2 (op2 (e23) (op2 (e23) (e23))) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H15c].
% 51.19/51.40 cut (((e22) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H199].
% 51.19/51.40 congruence.
% 51.19/51.40 elim (classic ((op2 (e23) (e23)) = (op2 (e23) (e23)))); [ zenon_intro zenon_H196 | zenon_intro zenon_H197 ].
% 51.19/51.40 cut (((op2 (e23) (e23)) = (op2 (e23) (e23))) = ((e22) = (op2 (e23) (e23)))).
% 51.19/51.40 intro zenon_D_pnotp.
% 51.19/51.40 apply zenon_H199.
% 51.19/51.40 rewrite <- zenon_D_pnotp.
% 51.19/51.40 exact zenon_H196.
% 51.19/51.40 cut (((op2 (e23) (e23)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H197].
% 51.19/51.40 cut (((op2 (e23) (e23)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H19a].
% 51.19/51.40 congruence.
% 51.19/51.40 exact (zenon_H19a zenon_H194).
% 51.19/51.40 apply zenon_H197. apply refl_equal.
% 51.19/51.40 apply zenon_H197. apply refl_equal.
% 51.19/51.40 apply (zenon_L115_); trivial.
% 51.19/51.40 apply zenon_H197. apply refl_equal.
% 51.19/51.40 apply zenon_H197. apply refl_equal.
% 51.19/51.40 (* end of lemma zenon_L126_ *)
% 51.19/51.40 assert (zenon_L127_ : (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> ((op2 (e22) (e20)) = (e22)) -> ((op2 (e21) (e21)) = (e22)) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> False).
% 51.19/51.40 do 0 intro. intros zenon_H19b zenon_H180 zenon_H176 zenon_H17c zenon_H17f zenon_H187 zenon_H18e zenon_H15e zenon_H14 zenon_H195.
% 51.19/51.40 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H175 | zenon_intro zenon_H19c ].
% 51.19/51.40 apply (zenon_L123_); trivial.
% 51.19/51.40 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H186 | zenon_intro zenon_H19d ].
% 51.19/51.40 apply (zenon_L124_); trivial.
% 51.19/51.40 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H18d | zenon_intro zenon_H194 ].
% 51.19/51.40 apply (zenon_L125_); trivial.
% 51.19/51.40 apply (zenon_L126_); trivial.
% 51.19/51.40 (* end of lemma zenon_L127_ *)
% 51.19/51.40 assert (zenon_L128_ : ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((op2 (e22) (e22)) = (e22)) -> ((op2 (e20) (e23)) = (e22)) -> ((op2 (e22) (e20)) = (e22)) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> False).
% 51.19/51.40 do 0 intro. intros zenon_H15e zenon_H19e zenon_H175 zenon_H176 zenon_H14 zenon_H19f.
% 51.19/51.40 elim (classic ((op2 (e22) (e22)) = (op2 (e22) (e22)))); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H1a1 ].
% 51.19/51.40 cut (((op2 (e22) (e22)) = (op2 (e22) (e22))) = ((op2 (e22) (e20)) = (op2 (e22) (e22)))).
% 51.19/51.40 intro zenon_D_pnotp.
% 51.19/51.40 apply zenon_H19f.
% 51.19/51.40 rewrite <- zenon_D_pnotp.
% 51.19/51.40 exact zenon_H1a0.
% 51.19/51.40 cut (((op2 (e22) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H1a1].
% 51.19/51.40 cut (((op2 (e22) (e22)) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1a2].
% 51.19/51.40 congruence.
% 51.19/51.40 cut (((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) = ((op2 (e22) (e22)) = (op2 (e22) (e20)))).
% 51.19/51.40 intro zenon_D_pnotp.
% 51.19/51.40 apply zenon_H1a2.
% 51.19/51.40 rewrite <- zenon_D_pnotp.
% 51.19/51.40 exact zenon_H15e.
% 51.19/51.40 cut (((op2 (op2 (e23) (op2 (e23) (e23))) (e23)) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H174].
% 51.19/51.40 cut (((e22) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H1a3].
% 51.19/51.40 congruence.
% 51.19/51.40 elim (classic ((op2 (e22) (e22)) = (op2 (e22) (e22)))); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H1a1 ].
% 51.19/51.40 cut (((op2 (e22) (e22)) = (op2 (e22) (e22))) = ((e22) = (op2 (e22) (e22)))).
% 51.19/51.40 intro zenon_D_pnotp.
% 51.19/51.40 apply zenon_H1a3.
% 51.19/51.40 rewrite <- zenon_D_pnotp.
% 51.19/51.40 exact zenon_H1a0.
% 51.19/51.40 cut (((op2 (e22) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H1a1].
% 51.19/51.40 cut (((op2 (e22) (e22)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H1a4].
% 51.19/51.40 congruence.
% 51.19/51.40 exact (zenon_H1a4 zenon_H19e).
% 51.19/51.40 apply zenon_H1a1. apply refl_equal.
% 51.19/51.40 apply zenon_H1a1. apply refl_equal.
% 51.19/51.40 apply (zenon_L121_); trivial.
% 51.19/51.40 apply zenon_H1a1. apply refl_equal.
% 51.19/51.40 apply zenon_H1a1. apply refl_equal.
% 51.19/51.40 (* end of lemma zenon_L128_ *)
% 51.19/51.40 assert (zenon_L129_ : ((op2 (e20) (e23)) = (e20)) -> ((op2 (e20) (e23)) = (e22)) -> (~((e20) = (e22))) -> False).
% 51.19/51.40 do 0 intro. intros zenon_H1a5 zenon_H175 zenon_H16f.
% 51.19/51.40 elim (classic ((e22) = (e22))); [ zenon_intro zenon_H170 | zenon_intro zenon_H171 ].
% 51.19/51.40 cut (((e22) = (e22)) = ((e20) = (e22))).
% 51.19/51.40 intro zenon_D_pnotp.
% 51.19/51.40 apply zenon_H16f.
% 51.19/51.40 rewrite <- zenon_D_pnotp.
% 51.19/51.40 exact zenon_H170.
% 51.19/51.40 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H171].
% 51.19/51.40 cut (((e22) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H172].
% 51.19/51.40 congruence.
% 51.19/51.40 cut (((op2 (e20) (e23)) = (e20)) = ((e22) = (e20))).
% 51.19/51.40 intro zenon_D_pnotp.
% 51.19/51.40 apply zenon_H172.
% 51.19/51.40 rewrite <- zenon_D_pnotp.
% 51.19/51.40 exact zenon_H1a5.
% 51.19/51.40 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H16c].
% 51.19/51.40 cut (((op2 (e20) (e23)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H1a6].
% 51.19/51.40 congruence.
% 51.19/51.40 exact (zenon_H1a6 zenon_H175).
% 51.19/51.40 apply zenon_H16c. apply refl_equal.
% 51.19/51.40 apply zenon_H171. apply refl_equal.
% 51.19/51.40 apply zenon_H171. apply refl_equal.
% 51.19/51.40 (* end of lemma zenon_L129_ *)
% 51.19/51.40 assert (zenon_L130_ : (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> ((op2 (e21) (e20)) = (e20)) -> ((op2 (e21) (e23)) = (e20)) -> False).
% 51.19/51.40 do 0 intro. intros zenon_H1a7 zenon_H16d zenon_H1a8.
% 51.19/51.40 cut (((op2 (e21) (e20)) = (e20)) = ((op2 (e21) (e20)) = (op2 (e21) (e23)))).
% 51.19/51.40 intro zenon_D_pnotp.
% 51.19/51.40 apply zenon_H1a7.
% 51.19/51.40 rewrite <- zenon_D_pnotp.
% 51.19/51.40 exact zenon_H16d.
% 51.19/51.40 cut (((e20) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H1a9].
% 51.19/51.40 cut (((op2 (e21) (e20)) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1aa].
% 51.19/51.40 congruence.
% 51.19/51.40 apply zenon_H1aa. apply refl_equal.
% 51.19/51.40 apply zenon_H1a9. apply sym_equal. exact zenon_H1a8.
% 51.19/51.40 (* end of lemma zenon_L130_ *)
% 51.19/51.40 assert (zenon_L131_ : (~((e22) = (e22))) -> False).
% 51.19/51.40 do 0 intro. intros zenon_H171.
% 51.19/51.40 apply zenon_H171. apply refl_equal.
% 51.19/51.40 (* end of lemma zenon_L131_ *)
% 51.19/51.40 assert (zenon_L132_ : ((op2 (e20) (e23)) = (e22)) -> ((op2 (e20) (e23)) = (e23)) -> (~((e22) = (e23))) -> False).
% 51.19/51.40 do 0 intro. intros zenon_H175 zenon_H1ab zenon_H1ac.
% 51.19/51.40 elim (classic ((e23) = (e23))); [ zenon_intro zenon_H1ad | zenon_intro zenon_H14c ].
% 51.19/51.40 cut (((e23) = (e23)) = ((e22) = (e23))).
% 51.19/51.40 intro zenon_D_pnotp.
% 51.19/51.40 apply zenon_H1ac.
% 51.19/51.40 rewrite <- zenon_D_pnotp.
% 51.19/51.40 exact zenon_H1ad.
% 51.19/51.40 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H14c].
% 51.19/51.40 cut (((e23) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H1ae].
% 51.19/51.40 congruence.
% 51.19/51.40 cut (((op2 (e20) (e23)) = (e22)) = ((e23) = (e22))).
% 51.19/51.40 intro zenon_D_pnotp.
% 51.19/51.40 apply zenon_H1ae.
% 51.19/51.40 rewrite <- zenon_D_pnotp.
% 51.19/51.40 exact zenon_H175.
% 51.19/51.40 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H171].
% 51.19/51.40 cut (((op2 (e20) (e23)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H1af].
% 51.19/51.40 congruence.
% 51.19/51.40 exact (zenon_H1af zenon_H1ab).
% 51.19/51.40 apply zenon_H171. apply refl_equal.
% 51.19/51.40 apply zenon_H14c. apply refl_equal.
% 51.19/51.40 apply zenon_H14c. apply refl_equal.
% 51.19/51.40 (* end of lemma zenon_L132_ *)
% 51.19/51.40 assert (zenon_L133_ : (((op2 (op2 (e20) (e20)) (op2 (e20) (e20))) = (e20))/\(((op2 (op2 (e20) (e21)) (op2 (e20) (e21))) = (e21))/\(((op2 (op2 (e20) (e22)) (op2 (e20) (e22))) = (e22))/\((op2 (op2 (e20) (e23)) (op2 (e20) (e23))) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e20) (e22)) = (e20)) -> ((op2 (e22) (e20)) = (e22)) -> False).
% 51.19/51.40 do 0 intro. intros zenon_H1b0 zenon_H1b1 zenon_H156 zenon_H176.
% 51.19/51.40 apply (zenon_and_s _ _ zenon_H1b0). zenon_intro zenon_H1b3. zenon_intro zenon_H1b2.
% 51.19/51.40 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H1b5. zenon_intro zenon_H1b4.
% 51.19/51.40 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_H1b7. zenon_intro zenon_H1b6.
% 51.19/51.40 cut (((op2 (op2 (e20) (e22)) (op2 (e20) (e22))) = (e22)) = ((op2 (e20) (e20)) = (op2 (e22) (e20)))).
% 51.19/51.40 intro zenon_D_pnotp.
% 51.19/51.40 apply zenon_H1b1.
% 51.19/51.40 rewrite <- zenon_D_pnotp.
% 51.19/51.40 exact zenon_H1b7.
% 51.19/51.40 cut (((e22) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H177].
% 51.19/51.40 cut (((op2 (op2 (e20) (e22)) (op2 (e20) (e22))) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1b8].
% 51.19/51.40 congruence.
% 51.19/51.40 elim (classic ((op2 (e20) (e20)) = (op2 (e20) (e20)))); [ zenon_intro zenon_H161 | zenon_intro zenon_H162 ].
% 51.19/51.40 cut (((op2 (e20) (e20)) = (op2 (e20) (e20))) = ((op2 (op2 (e20) (e22)) (op2 (e20) (e22))) = (op2 (e20) (e20)))).
% 51.19/51.40 intro zenon_D_pnotp.
% 51.19/51.40 apply zenon_H1b8.
% 51.19/51.40 rewrite <- zenon_D_pnotp.
% 51.19/51.40 exact zenon_H161.
% 51.19/51.40 cut (((op2 (e20) (e20)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H162].
% 51.19/51.40 cut (((op2 (e20) (e20)) = (op2 (op2 (e20) (e22)) (op2 (e20) (e22))))); [idtac | apply NNPP; zenon_intro zenon_H1b9].
% 51.19/51.40 congruence.
% 51.19/51.40 cut (((e20) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H1ba].
% 51.19/51.40 cut (((e20) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H1ba].
% 51.19/51.40 congruence.
% 51.19/51.40 apply zenon_H1ba. apply sym_equal. exact zenon_H156.
% 51.19/51.40 apply zenon_H1ba. apply sym_equal. exact zenon_H156.
% 51.19/51.40 apply zenon_H162. apply refl_equal.
% 51.19/51.40 apply zenon_H162. apply refl_equal.
% 51.19/51.40 apply zenon_H177. apply sym_equal. exact zenon_H176.
% 51.19/51.40 (* end of lemma zenon_L133_ *)
% 51.19/51.40 assert (zenon_L134_ : (((op2 (op2 (e21) (e20)) (op2 (e21) (e20))) = (e20))/\(((op2 (op2 (e21) (e21)) (op2 (e21) (e21))) = (e21))/\(((op2 (op2 (e21) (e22)) (op2 (e21) (e22))) = (e22))/\((op2 (op2 (e21) (e23)) (op2 (e21) (e23))) = (e23))))) -> ((op2 (e21) (e23)) = (e23)) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> False).
% 51.19/51.40 do 0 intro. intros zenon_H1bb zenon_H1bc zenon_H1bd.
% 51.19/51.40 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H1bf. zenon_intro zenon_H1be.
% 51.19/51.40 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H1c1. zenon_intro zenon_H1c0.
% 51.19/51.40 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_H1c3. zenon_intro zenon_H1c2.
% 51.19/51.40 elim (classic ((op2 (e23) (e23)) = (op2 (e23) (e23)))); [ zenon_intro zenon_H196 | zenon_intro zenon_H197 ].
% 51.19/51.40 cut (((op2 (e23) (e23)) = (op2 (e23) (e23))) = ((op2 (e21) (e23)) = (op2 (e23) (e23)))).
% 51.19/51.41 intro zenon_D_pnotp.
% 51.19/51.41 apply zenon_H1bd.
% 51.19/51.41 rewrite <- zenon_D_pnotp.
% 51.19/51.41 exact zenon_H196.
% 51.19/51.41 cut (((op2 (e23) (e23)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H197].
% 51.19/51.41 cut (((op2 (e23) (e23)) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H1c4].
% 51.19/51.41 congruence.
% 51.19/51.41 cut (((op2 (op2 (e21) (e23)) (op2 (e21) (e23))) = (e23)) = ((op2 (e23) (e23)) = (op2 (e21) (e23)))).
% 51.19/51.41 intro zenon_D_pnotp.
% 51.19/51.41 apply zenon_H1c4.
% 51.19/51.41 rewrite <- zenon_D_pnotp.
% 51.19/51.41 exact zenon_H1c2.
% 51.19/51.41 cut (((e23) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H1c5].
% 51.19/51.41 cut (((op2 (op2 (e21) (e23)) (op2 (e21) (e23))) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H1c6].
% 51.19/51.41 congruence.
% 51.19/51.41 elim (classic ((op2 (e23) (e23)) = (op2 (e23) (e23)))); [ zenon_intro zenon_H196 | zenon_intro zenon_H197 ].
% 51.19/51.41 cut (((op2 (e23) (e23)) = (op2 (e23) (e23))) = ((op2 (op2 (e21) (e23)) (op2 (e21) (e23))) = (op2 (e23) (e23)))).
% 51.19/51.41 intro zenon_D_pnotp.
% 51.19/51.41 apply zenon_H1c6.
% 51.19/51.41 rewrite <- zenon_D_pnotp.
% 51.19/51.41 exact zenon_H196.
% 51.19/51.41 cut (((op2 (e23) (e23)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H197].
% 51.19/51.41 cut (((op2 (e23) (e23)) = (op2 (op2 (e21) (e23)) (op2 (e21) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H1c7].
% 51.19/51.41 congruence.
% 51.19/51.41 cut (((e23) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H1c5].
% 51.19/51.41 cut (((e23) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H1c5].
% 51.19/51.41 congruence.
% 51.19/51.41 apply zenon_H1c5. apply sym_equal. exact zenon_H1bc.
% 51.19/51.41 apply zenon_H1c5. apply sym_equal. exact zenon_H1bc.
% 51.19/51.41 apply zenon_H197. apply refl_equal.
% 51.19/51.41 apply zenon_H197. apply refl_equal.
% 51.19/51.41 apply zenon_H1c5. apply sym_equal. exact zenon_H1bc.
% 51.19/51.41 apply zenon_H197. apply refl_equal.
% 51.19/51.41 apply zenon_H197. apply refl_equal.
% 51.19/51.41 (* end of lemma zenon_L134_ *)
% 51.19/51.41 assert (zenon_L135_ : (~((op2 (e20) (e20)) = (op2 (op2 (e22) (e23)) (op2 (e22) (e23))))) -> ((op2 (e22) (e23)) = (e20)) -> False).
% 51.19/51.41 do 0 intro. intros zenon_H1c8 zenon_H1c9.
% 51.19/51.41 cut (((e20) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H1ca].
% 51.19/51.41 cut (((e20) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H1ca].
% 51.19/51.41 congruence.
% 51.19/51.41 apply zenon_H1ca. apply sym_equal. exact zenon_H1c9.
% 51.19/51.41 apply zenon_H1ca. apply sym_equal. exact zenon_H1c9.
% 51.19/51.41 (* end of lemma zenon_L135_ *)
% 51.19/51.41 assert (zenon_L136_ : (((op2 (op2 (e22) (e20)) (op2 (e22) (e20))) = (e20))/\(((op2 (op2 (e22) (e21)) (op2 (e22) (e21))) = (e21))/\(((op2 (op2 (e22) (e22)) (op2 (e22) (e22))) = (e22))/\((op2 (op2 (e22) (e23)) (op2 (e22) (e23))) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e22) (e23)) = (e20)) -> ((op2 (e23) (e20)) = (e23)) -> False).
% 51.19/51.41 do 0 intro. intros zenon_H1cb zenon_H1cc zenon_H1c9 zenon_H1cd.
% 51.19/51.41 apply (zenon_and_s _ _ zenon_H1cb). zenon_intro zenon_H1cf. zenon_intro zenon_H1ce.
% 51.19/51.41 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_H1d1. zenon_intro zenon_H1d0.
% 51.19/51.41 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1d3. zenon_intro zenon_H1d2.
% 51.19/51.41 cut (((op2 (op2 (e22) (e23)) (op2 (e22) (e23))) = (e23)) = ((op2 (e20) (e20)) = (op2 (e23) (e20)))).
% 51.19/51.41 intro zenon_D_pnotp.
% 51.19/51.41 apply zenon_H1cc.
% 51.19/51.41 rewrite <- zenon_D_pnotp.
% 51.19/51.41 exact zenon_H1d2.
% 51.19/51.41 cut (((e23) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1d4].
% 51.19/51.41 cut (((op2 (op2 (e22) (e23)) (op2 (e22) (e23))) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1d5].
% 51.19/51.41 congruence.
% 51.19/51.41 elim (classic ((op2 (e20) (e20)) = (op2 (e20) (e20)))); [ zenon_intro zenon_H161 | zenon_intro zenon_H162 ].
% 51.19/51.41 cut (((op2 (e20) (e20)) = (op2 (e20) (e20))) = ((op2 (op2 (e22) (e23)) (op2 (e22) (e23))) = (op2 (e20) (e20)))).
% 51.19/51.41 intro zenon_D_pnotp.
% 51.19/51.41 apply zenon_H1d5.
% 51.19/51.41 rewrite <- zenon_D_pnotp.
% 51.19/51.41 exact zenon_H161.
% 51.19/51.41 cut (((op2 (e20) (e20)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H162].
% 51.19/51.41 cut (((op2 (e20) (e20)) = (op2 (op2 (e22) (e23)) (op2 (e22) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H1c8].
% 51.19/51.41 congruence.
% 51.19/51.41 apply (zenon_L135_); trivial.
% 51.19/51.41 apply zenon_H162. apply refl_equal.
% 51.19/51.41 apply zenon_H162. apply refl_equal.
% 51.19/51.41 apply zenon_H1d4. apply sym_equal. exact zenon_H1cd.
% 51.19/51.41 (* end of lemma zenon_L136_ *)
% 51.19/51.41 assert (zenon_L137_ : (((op2 (op2 (e23) (e20)) (op2 (e23) (e20))) = (e20))/\(((op2 (op2 (e23) (e21)) (op2 (e23) (e21))) = (e21))/\(((op2 (op2 (e23) (e22)) (op2 (e23) (e22))) = (e22))/\((op2 (op2 (e23) (e23)) (op2 (e23) (e23))) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e22)) = (e22)) -> False).
% 51.19/51.41 do 0 intro. intros zenon_H1d6 zenon_H1d7 zenon_H1d8.
% 51.19/51.41 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1da. zenon_intro zenon_H1d9.
% 51.19/51.41 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1dc. zenon_intro zenon_H1db.
% 51.19/51.41 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1de. zenon_intro zenon_H1dd.
% 51.19/51.41 cut (((op2 (op2 (e23) (e22)) (op2 (e23) (e22))) = (e22)) = ((op2 (e22) (e22)) = (op2 (e23) (e22)))).
% 51.19/51.41 intro zenon_D_pnotp.
% 51.19/51.41 apply zenon_H1d7.
% 51.19/51.41 rewrite <- zenon_D_pnotp.
% 51.19/51.41 exact zenon_H1de.
% 51.19/51.41 cut (((e22) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H1df].
% 51.19/51.41 cut (((op2 (op2 (e23) (e22)) (op2 (e23) (e22))) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H1e0].
% 51.19/51.41 congruence.
% 51.19/51.41 elim (classic ((op2 (e22) (e22)) = (op2 (e22) (e22)))); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H1a1 ].
% 51.19/51.41 cut (((op2 (e22) (e22)) = (op2 (e22) (e22))) = ((op2 (op2 (e23) (e22)) (op2 (e23) (e22))) = (op2 (e22) (e22)))).
% 51.19/51.41 intro zenon_D_pnotp.
% 51.19/51.41 apply zenon_H1e0.
% 51.19/51.41 rewrite <- zenon_D_pnotp.
% 51.19/51.41 exact zenon_H1a0.
% 51.19/51.41 cut (((op2 (e22) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H1a1].
% 51.19/51.41 cut (((op2 (e22) (e22)) = (op2 (op2 (e23) (e22)) (op2 (e23) (e22))))); [idtac | apply NNPP; zenon_intro zenon_H1e1].
% 51.19/51.41 congruence.
% 51.19/51.41 cut (((e22) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H1df].
% 51.19/51.41 cut (((e22) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H1df].
% 51.19/51.41 congruence.
% 51.19/51.41 apply zenon_H1df. apply sym_equal. exact zenon_H1d8.
% 51.19/51.41 apply zenon_H1df. apply sym_equal. exact zenon_H1d8.
% 51.19/51.41 apply zenon_H1a1. apply refl_equal.
% 51.19/51.41 apply zenon_H1a1. apply refl_equal.
% 51.19/51.41 apply zenon_H1df. apply sym_equal. exact zenon_H1d8.
% 51.19/51.41 (* end of lemma zenon_L137_ *)
% 51.19/51.41 assert (zenon_L138_ : ((op2 (e22) (e20)) = (e22)) -> ((op2 (e20) (e22)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e23)) -> ((op2 (e23) (e20)) = (e23)) -> ((op2 (e22) (e23)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e22)) = (e22)) -> False).
% 51.19/51.41 do 0 intro. intros zenon_H176 zenon_H156 zenon_H1b1 zenon_H1bd zenon_H1bc zenon_H1cd zenon_H1c9 zenon_H1cc zenon_H1d7 zenon_H1d8.
% 51.19/51.41 apply (zenon_or_s _ _ ax11); [ zenon_intro zenon_H1b0 | zenon_intro zenon_H1e2 ].
% 51.19/51.41 apply (zenon_L133_); trivial.
% 51.19/51.41 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H1bb | zenon_intro zenon_H1e3 ].
% 51.19/51.41 apply (zenon_L134_); trivial.
% 51.19/51.41 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H1cb | zenon_intro zenon_H1d6 ].
% 51.19/51.41 apply (zenon_L136_); trivial.
% 51.19/51.41 apply (zenon_L137_); trivial.
% 51.19/51.41 (* end of lemma zenon_L138_ *)
% 51.19/51.41 assert (zenon_L139_ : (~((op2 (e22) (e22)) = (op2 (op2 (e20) (e23)) (op2 (e20) (e23))))) -> ((op2 (e20) (e23)) = (e22)) -> False).
% 51.19/51.41 do 0 intro. intros zenon_H1e4 zenon_H175.
% 51.19/51.41 cut (((e22) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H1e5].
% 51.19/51.41 cut (((e22) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H1e5].
% 51.19/51.41 congruence.
% 51.19/51.41 apply zenon_H1e5. apply sym_equal. exact zenon_H175.
% 51.19/51.41 apply zenon_H1e5. apply sym_equal. exact zenon_H175.
% 51.19/51.41 (* end of lemma zenon_L139_ *)
% 51.19/51.41 assert (zenon_L140_ : (((op2 (op2 (e20) (e20)) (op2 (e20) (e20))) = (e20))/\(((op2 (op2 (e20) (e21)) (op2 (e20) (e21))) = (e21))/\(((op2 (op2 (e20) (e22)) (op2 (e20) (e22))) = (e22))/\((op2 (op2 (e20) (e23)) (op2 (e20) (e23))) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e20) (e23)) = (e22)) -> ((op2 (e22) (e23)) = (e23)) -> False).
% 51.19/51.41 do 0 intro. intros zenon_H1b0 zenon_H1e6 zenon_H175 zenon_H1e7.
% 51.19/51.41 apply (zenon_and_s _ _ zenon_H1b0). zenon_intro zenon_H1b3. zenon_intro zenon_H1b2.
% 51.19/51.41 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H1b5. zenon_intro zenon_H1b4.
% 51.19/51.41 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_H1b7. zenon_intro zenon_H1b6.
% 51.19/51.41 cut (((op2 (op2 (e20) (e23)) (op2 (e20) (e23))) = (e23)) = ((op2 (e22) (e22)) = (op2 (e22) (e23)))).
% 51.19/51.41 intro zenon_D_pnotp.
% 51.19/51.41 apply zenon_H1e6.
% 51.19/51.41 rewrite <- zenon_D_pnotp.
% 51.19/51.41 exact zenon_H1b6.
% 51.19/51.41 cut (((e23) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H1e8].
% 51.19/51.41 cut (((op2 (op2 (e20) (e23)) (op2 (e20) (e23))) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H1e9].
% 51.19/51.41 congruence.
% 51.19/51.41 elim (classic ((op2 (e22) (e22)) = (op2 (e22) (e22)))); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H1a1 ].
% 51.19/51.41 cut (((op2 (e22) (e22)) = (op2 (e22) (e22))) = ((op2 (op2 (e20) (e23)) (op2 (e20) (e23))) = (op2 (e22) (e22)))).
% 51.19/51.41 intro zenon_D_pnotp.
% 51.19/51.41 apply zenon_H1e9.
% 51.19/51.41 rewrite <- zenon_D_pnotp.
% 51.19/51.41 exact zenon_H1a0.
% 51.19/51.41 cut (((op2 (e22) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H1a1].
% 51.19/51.41 cut (((op2 (e22) (e22)) = (op2 (op2 (e20) (e23)) (op2 (e20) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H1e4].
% 51.19/51.41 congruence.
% 51.19/51.41 apply (zenon_L139_); trivial.
% 51.19/51.41 apply zenon_H1a1. apply refl_equal.
% 51.19/51.41 apply zenon_H1a1. apply refl_equal.
% 51.19/51.41 apply zenon_H1e8. apply sym_equal. exact zenon_H1e7.
% 51.19/51.41 (* end of lemma zenon_L140_ *)
% 51.19/51.41 assert (zenon_L141_ : (~((op2 (e20) (e20)) = (op2 (op2 (e21) (e23)) (op2 (e21) (e23))))) -> ((op2 (e21) (e23)) = (e20)) -> False).
% 51.19/51.41 do 0 intro. intros zenon_H1ea zenon_H1a8.
% 51.19/51.41 cut (((e20) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H1a9].
% 51.19/51.41 cut (((e20) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H1a9].
% 51.19/51.41 congruence.
% 51.19/51.41 apply zenon_H1a9. apply sym_equal. exact zenon_H1a8.
% 51.19/51.41 apply zenon_H1a9. apply sym_equal. exact zenon_H1a8.
% 51.19/51.41 (* end of lemma zenon_L141_ *)
% 51.19/51.41 assert (zenon_L142_ : (((op2 (op2 (e21) (e20)) (op2 (e21) (e20))) = (e20))/\(((op2 (op2 (e21) (e21)) (op2 (e21) (e21))) = (e21))/\(((op2 (op2 (e21) (e22)) (op2 (e21) (e22))) = (e22))/\((op2 (op2 (e21) (e23)) (op2 (e21) (e23))) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e21) (e23)) = (e20)) -> ((op2 (e23) (e20)) = (e23)) -> False).
% 51.19/51.41 do 0 intro. intros zenon_H1bb zenon_H1cc zenon_H1a8 zenon_H1cd.
% 51.19/51.41 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H1bf. zenon_intro zenon_H1be.
% 51.19/51.41 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H1c1. zenon_intro zenon_H1c0.
% 51.19/51.41 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_H1c3. zenon_intro zenon_H1c2.
% 51.19/51.41 cut (((op2 (op2 (e21) (e23)) (op2 (e21) (e23))) = (e23)) = ((op2 (e20) (e20)) = (op2 (e23) (e20)))).
% 51.19/51.41 intro zenon_D_pnotp.
% 51.19/51.41 apply zenon_H1cc.
% 51.19/51.41 rewrite <- zenon_D_pnotp.
% 51.19/51.41 exact zenon_H1c2.
% 51.19/51.41 cut (((e23) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1d4].
% 51.19/51.41 cut (((op2 (op2 (e21) (e23)) (op2 (e21) (e23))) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1eb].
% 51.19/51.41 congruence.
% 51.19/51.41 elim (classic ((op2 (e20) (e20)) = (op2 (e20) (e20)))); [ zenon_intro zenon_H161 | zenon_intro zenon_H162 ].
% 51.19/51.41 cut (((op2 (e20) (e20)) = (op2 (e20) (e20))) = ((op2 (op2 (e21) (e23)) (op2 (e21) (e23))) = (op2 (e20) (e20)))).
% 51.19/51.41 intro zenon_D_pnotp.
% 51.19/51.41 apply zenon_H1eb.
% 51.19/51.41 rewrite <- zenon_D_pnotp.
% 51.19/51.41 exact zenon_H161.
% 51.19/51.41 cut (((op2 (e20) (e20)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H162].
% 51.19/51.41 cut (((op2 (e20) (e20)) = (op2 (op2 (e21) (e23)) (op2 (e21) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H1ea].
% 51.19/51.41 congruence.
% 51.19/51.41 apply (zenon_L141_); trivial.
% 51.19/51.41 apply zenon_H162. apply refl_equal.
% 51.19/51.41 apply zenon_H162. apply refl_equal.
% 51.19/51.41 apply zenon_H1d4. apply sym_equal. exact zenon_H1cd.
% 51.19/51.41 (* end of lemma zenon_L142_ *)
% 51.19/51.41 assert (zenon_L143_ : (((op2 (op2 (e22) (e20)) (op2 (e22) (e20))) = (e20))/\(((op2 (op2 (e22) (e21)) (op2 (e22) (e21))) = (e21))/\(((op2 (op2 (e22) (e22)) (op2 (e22) (e22))) = (e22))/\((op2 (op2 (e22) (e23)) (op2 (e22) (e23))) = (e23))))) -> ((op2 (e22) (e23)) = (e23)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> False).
% 51.19/51.41 do 0 intro. intros zenon_H1cb zenon_H1e7 zenon_H1ec.
% 51.19/51.41 apply (zenon_and_s _ _ zenon_H1cb). zenon_intro zenon_H1cf. zenon_intro zenon_H1ce.
% 51.19/51.41 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_H1d1. zenon_intro zenon_H1d0.
% 51.19/51.41 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1d3. zenon_intro zenon_H1d2.
% 51.19/51.41 elim (classic ((op2 (e23) (e23)) = (op2 (e23) (e23)))); [ zenon_intro zenon_H196 | zenon_intro zenon_H197 ].
% 51.19/51.41 cut (((op2 (e23) (e23)) = (op2 (e23) (e23))) = ((op2 (e22) (e23)) = (op2 (e23) (e23)))).
% 51.19/51.41 intro zenon_D_pnotp.
% 51.19/51.41 apply zenon_H1ec.
% 51.19/51.41 rewrite <- zenon_D_pnotp.
% 51.19/51.41 exact zenon_H196.
% 51.19/51.41 cut (((op2 (e23) (e23)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H197].
% 51.19/51.41 cut (((op2 (e23) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H1ed].
% 51.19/51.41 congruence.
% 51.19/51.41 cut (((op2 (op2 (e22) (e23)) (op2 (e22) (e23))) = (e23)) = ((op2 (e23) (e23)) = (op2 (e22) (e23)))).
% 51.19/51.41 intro zenon_D_pnotp.
% 51.19/51.41 apply zenon_H1ed.
% 51.19/51.41 rewrite <- zenon_D_pnotp.
% 51.19/51.41 exact zenon_H1d2.
% 51.19/51.41 cut (((e23) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H1e8].
% 51.19/51.41 cut (((op2 (op2 (e22) (e23)) (op2 (e22) (e23))) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H1ee].
% 51.19/51.41 congruence.
% 51.19/51.41 elim (classic ((op2 (e23) (e23)) = (op2 (e23) (e23)))); [ zenon_intro zenon_H196 | zenon_intro zenon_H197 ].
% 51.19/51.41 cut (((op2 (e23) (e23)) = (op2 (e23) (e23))) = ((op2 (op2 (e22) (e23)) (op2 (e22) (e23))) = (op2 (e23) (e23)))).
% 51.19/51.41 intro zenon_D_pnotp.
% 51.19/51.41 apply zenon_H1ee.
% 51.19/51.41 rewrite <- zenon_D_pnotp.
% 51.19/51.41 exact zenon_H196.
% 51.19/51.41 cut (((op2 (e23) (e23)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H197].
% 51.19/51.41 cut (((op2 (e23) (e23)) = (op2 (op2 (e22) (e23)) (op2 (e22) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H1ef].
% 51.19/51.41 congruence.
% 51.19/51.41 cut (((e23) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H1e8].
% 51.19/51.41 cut (((e23) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H1e8].
% 51.19/51.41 congruence.
% 51.19/51.41 apply zenon_H1e8. apply sym_equal. exact zenon_H1e7.
% 51.19/51.41 apply zenon_H1e8. apply sym_equal. exact zenon_H1e7.
% 51.19/51.41 apply zenon_H197. apply refl_equal.
% 51.19/51.41 apply zenon_H197. apply refl_equal.
% 51.19/51.41 apply zenon_H1e8. apply sym_equal. exact zenon_H1e7.
% 51.19/51.41 apply zenon_H197. apply refl_equal.
% 51.19/51.41 apply zenon_H197. apply refl_equal.
% 51.19/51.41 (* end of lemma zenon_L143_ *)
% 51.19/51.41 assert (zenon_L144_ : ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e23) (e20)) = (e23)) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e22) (e23)) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e22)) = (e22)) -> False).
% 51.19/51.41 do 0 intro. intros zenon_H175 zenon_H1e6 zenon_H1cd zenon_H1a8 zenon_H1cc zenon_H1ec zenon_H1e7 zenon_H1d7 zenon_H1d8.
% 51.19/51.41 apply (zenon_or_s _ _ ax11); [ zenon_intro zenon_H1b0 | zenon_intro zenon_H1e2 ].
% 51.19/51.41 apply (zenon_L140_); trivial.
% 51.19/51.41 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H1bb | zenon_intro zenon_H1e3 ].
% 51.19/51.41 apply (zenon_L142_); trivial.
% 51.19/51.41 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H1cb | zenon_intro zenon_H1d6 ].
% 51.19/51.41 apply (zenon_L143_); trivial.
% 51.19/51.41 apply (zenon_L137_); trivial.
% 51.19/51.41 (* end of lemma zenon_L144_ *)
% 51.19/51.41 assert (zenon_L145_ : (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> ((op2 (e21) (e23)) = (e21)) -> False).
% 51.19/51.41 do 0 intro. intros zenon_H1bd zenon_H14e zenon_H1f0.
% 51.19/51.41 cut (((e21) = (op2 (e23) (e23))) = ((op2 (e21) (e23)) = (op2 (e23) (e23)))).
% 51.19/51.41 intro zenon_D_pnotp.
% 51.19/51.41 apply zenon_H1bd.
% 51.19/51.41 rewrite <- zenon_D_pnotp.
% 51.19/51.41 exact zenon_H14e.
% 51.19/51.41 cut (((op2 (e23) (e23)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H197].
% 51.19/51.41 cut (((e21) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H1f1].
% 51.19/51.41 congruence.
% 51.19/51.41 elim (classic ((op2 (e21) (e23)) = (op2 (e21) (e23)))); [ zenon_intro zenon_H188 | zenon_intro zenon_H189 ].
% 51.19/51.41 cut (((op2 (e21) (e23)) = (op2 (e21) (e23))) = ((e21) = (op2 (e21) (e23)))).
% 51.19/51.41 intro zenon_D_pnotp.
% 51.19/51.41 apply zenon_H1f1.
% 51.19/51.41 rewrite <- zenon_D_pnotp.
% 51.19/51.41 exact zenon_H188.
% 51.19/51.41 cut (((op2 (e21) (e23)) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H189].
% 51.19/51.41 cut (((op2 (e21) (e23)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H1f2].
% 51.19/51.41 congruence.
% 51.19/51.41 exact (zenon_H1f2 zenon_H1f0).
% 51.19/51.41 apply zenon_H189. apply refl_equal.
% 51.19/51.41 apply zenon_H189. apply refl_equal.
% 51.19/51.41 apply zenon_H197. apply refl_equal.
% 51.19/51.41 (* end of lemma zenon_L145_ *)
% 51.19/51.41 assert (zenon_L146_ : ((op2 (e22) (e23)) = (e23)) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e23)) -> ((op2 (e23) (e20)) = (e23)) -> ((op2 (e22) (e23)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e22)) = (e22)) -> False).
% 51.19/51.41 do 0 intro. intros zenon_H1e7 zenon_H175 zenon_H1e6 zenon_H1bd zenon_H1bc zenon_H1cd zenon_H1c9 zenon_H1cc zenon_H1d7 zenon_H1d8.
% 51.19/51.41 apply (zenon_or_s _ _ ax11); [ zenon_intro zenon_H1b0 | zenon_intro zenon_H1e2 ].
% 51.19/51.41 apply (zenon_L140_); trivial.
% 51.19/51.41 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H1bb | zenon_intro zenon_H1e3 ].
% 51.19/51.41 apply (zenon_L134_); trivial.
% 51.19/51.41 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H1cb | zenon_intro zenon_H1d6 ].
% 51.19/51.41 apply (zenon_L136_); trivial.
% 51.19/51.41 apply (zenon_L137_); trivial.
% 51.19/51.41 (* end of lemma zenon_L146_ *)
% 51.19/51.41 assert (zenon_L147_ : (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((op2 (e22) (e23)) = (e23)) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e20)) = (e23)) -> ((op2 (e22) (e23)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e22)) = (e22)) -> False).
% 51.19/51.41 do 0 intro. intros zenon_H1f3 zenon_H1ec zenon_H14e zenon_H187 zenon_H14 zenon_H15e zenon_H1e7 zenon_H175 zenon_H1e6 zenon_H1bd zenon_H1cd zenon_H1c9 zenon_H1cc zenon_H1d7 zenon_H1d8.
% 51.19/51.41 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H1a8 | zenon_intro zenon_H1f4 ].
% 51.19/51.41 apply (zenon_L144_); trivial.
% 51.19/51.41 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H1f0 | zenon_intro zenon_H1f5 ].
% 51.19/51.41 apply (zenon_L145_); trivial.
% 51.19/51.41 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H186 | zenon_intro zenon_H1bc ].
% 51.19/51.41 apply (zenon_L124_); trivial.
% 51.19/51.41 apply (zenon_L146_); trivial.
% 51.19/51.41 (* end of lemma zenon_L147_ *)
% 51.19/51.41 assert (zenon_L148_ : (~((e21) = (e21))) -> False).
% 51.19/51.41 do 0 intro. intros zenon_H1f6.
% 51.19/51.41 apply zenon_H1f6. apply refl_equal.
% 51.19/51.41 (* end of lemma zenon_L148_ *)
% 51.19/51.41 assert (zenon_L149_ : (~((e21) = (e23))) -> ((e21) = (op2 (e23) (e23))) -> ((op2 (e23) (e23)) = (e23)) -> False).
% 51.19/51.41 do 0 intro. intros zenon_H1f7 zenon_H14e zenon_H1f8.
% 51.19/51.41 cut (((e21) = (op2 (e23) (e23))) = ((e21) = (e23))).
% 51.19/51.41 intro zenon_D_pnotp.
% 51.19/51.41 apply zenon_H1f7.
% 51.19/51.41 rewrite <- zenon_D_pnotp.
% 51.19/51.41 exact zenon_H14e.
% 51.19/51.41 cut (((op2 (e23) (e23)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H1f9].
% 51.19/51.41 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H1f6].
% 51.19/51.41 congruence.
% 51.19/51.41 apply zenon_H1f6. apply refl_equal.
% 51.19/51.41 exact (zenon_H1f9 zenon_H1f8).
% 51.19/51.41 (* end of lemma zenon_L149_ *)
% 51.19/51.41 assert (zenon_L150_ : (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e22) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e20) (e22)) = (e20)) -> ((op2 (e22) (e20)) = (e22)) -> ((op2 (e23) (e22)) = (e22)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e22) (e23)) = (e20)) -> ((op2 (e23) (e20)) = (e23)) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e20) (e23)) = (e22)) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((e21) = (e23))) -> ((e21) = (op2 (e23) (e23))) -> False).
% 51.19/51.41 do 0 intro. intros zenon_H1fa zenon_H1ac zenon_H1b1 zenon_H156 zenon_H176 zenon_H1d8 zenon_H1d7 zenon_H1cc zenon_H1c9 zenon_H1cd zenon_H1bd zenon_H1e6 zenon_H175 zenon_H15e zenon_H14 zenon_H187 zenon_H1ec zenon_H1f3 zenon_H1f7 zenon_H14e.
% 51.19/51.41 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H1ab | zenon_intro zenon_H1fb ].
% 51.19/51.41 apply (zenon_L132_); trivial.
% 51.19/51.41 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H1bc | zenon_intro zenon_H1fc ].
% 51.19/51.41 apply (zenon_L138_); trivial.
% 51.19/51.41 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H1f8 ].
% 51.19/51.41 apply (zenon_L147_); trivial.
% 51.19/51.41 apply (zenon_L149_); trivial.
% 51.19/51.41 (* end of lemma zenon_L150_ *)
% 51.19/51.41 assert (zenon_L151_ : (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e23) (e20)) = (e20)) -> ((e21) = (op2 (e23) (e23))) -> False).
% 51.19/51.41 do 0 intro. intros zenon_H1fd zenon_H14 zenon_H1fe zenon_H14e.
% 51.19/51.41 cut (((e20) = (op2 (e23) (op2 (e23) (e23)))) = ((op2 (e23) (e20)) = (op2 (e23) (e21)))).
% 51.19/51.41 intro zenon_D_pnotp.
% 51.19/51.41 apply zenon_H1fd.
% 51.19/51.41 rewrite <- zenon_D_pnotp.
% 51.19/51.41 exact zenon_H14.
% 51.19/51.41 cut (((op2 (e23) (op2 (e23) (e23))) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H14d].
% 51.19/51.41 cut (((e20) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1ff].
% 51.19/51.41 congruence.
% 51.19/51.41 elim (classic ((op2 (e23) (e20)) = (op2 (e23) (e20)))); [ zenon_intro zenon_H200 | zenon_intro zenon_H201 ].
% 51.19/51.41 cut (((op2 (e23) (e20)) = (op2 (e23) (e20))) = ((e20) = (op2 (e23) (e20)))).
% 51.19/51.41 intro zenon_D_pnotp.
% 51.19/51.41 apply zenon_H1ff.
% 51.19/51.41 rewrite <- zenon_D_pnotp.
% 51.19/51.41 exact zenon_H200.
% 51.19/51.41 cut (((op2 (e23) (e20)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H201].
% 51.19/51.41 cut (((op2 (e23) (e20)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H202].
% 51.19/51.41 congruence.
% 51.19/51.41 exact (zenon_H202 zenon_H1fe).
% 51.19/51.41 apply zenon_H201. apply refl_equal.
% 51.19/51.41 apply zenon_H201. apply refl_equal.
% 51.19/51.41 apply (zenon_L112_); trivial.
% 51.19/51.41 (* end of lemma zenon_L151_ *)
% 51.19/51.41 assert (zenon_L152_ : ((op2 (e23) (e21)) = (e20)) -> ((op2 (e23) (e21)) = (e23)) -> (~((e20) = (e23))) -> False).
% 51.19/51.41 do 0 intro. intros zenon_H203 zenon_H204 zenon_H205.
% 51.19/51.41 elim (classic ((e23) = (e23))); [ zenon_intro zenon_H1ad | zenon_intro zenon_H14c ].
% 51.19/51.41 cut (((e23) = (e23)) = ((e20) = (e23))).
% 51.19/51.41 intro zenon_D_pnotp.
% 51.19/51.41 apply zenon_H205.
% 51.19/51.41 rewrite <- zenon_D_pnotp.
% 51.19/51.41 exact zenon_H1ad.
% 51.19/51.41 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H14c].
% 51.19/51.41 cut (((e23) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H206].
% 51.19/51.41 congruence.
% 51.19/51.41 cut (((op2 (e23) (e21)) = (e20)) = ((e23) = (e20))).
% 51.19/51.41 intro zenon_D_pnotp.
% 51.19/51.41 apply zenon_H206.
% 51.19/51.41 rewrite <- zenon_D_pnotp.
% 51.19/51.41 exact zenon_H203.
% 51.19/51.41 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H16c].
% 51.19/51.41 cut (((op2 (e23) (e21)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H207].
% 51.19/51.41 congruence.
% 51.19/51.41 exact (zenon_H207 zenon_H204).
% 51.19/51.41 apply zenon_H16c. apply refl_equal.
% 51.19/51.41 apply zenon_H14c. apply refl_equal.
% 51.19/51.41 apply zenon_H14c. apply refl_equal.
% 51.19/51.41 (* end of lemma zenon_L152_ *)
% 51.19/51.41 assert (zenon_L153_ : ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e23) (e22)) = (e20)) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False).
% 51.19/51.41 do 0 intro. intros zenon_H14 zenon_H208 zenon_H14e zenon_H209.
% 51.19/51.41 elim (classic ((op2 (e23) (e22)) = (op2 (e23) (e22)))); [ zenon_intro zenon_H20a | zenon_intro zenon_H20b ].
% 51.19/51.41 cut (((op2 (e23) (e22)) = (op2 (e23) (e22))) = ((op2 (e23) (e21)) = (op2 (e23) (e22)))).
% 51.19/51.41 intro zenon_D_pnotp.
% 51.19/51.41 apply zenon_H209.
% 51.19/51.41 rewrite <- zenon_D_pnotp.
% 51.19/51.41 exact zenon_H20a.
% 51.19/51.41 cut (((op2 (e23) (e22)) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H20b].
% 51.19/51.41 cut (((op2 (e23) (e22)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H20c].
% 51.19/51.41 congruence.
% 51.19/51.41 cut (((e20) = (op2 (e23) (op2 (e23) (e23)))) = ((op2 (e23) (e22)) = (op2 (e23) (e21)))).
% 51.19/51.41 intro zenon_D_pnotp.
% 51.19/51.41 apply zenon_H20c.
% 51.19/51.41 rewrite <- zenon_D_pnotp.
% 51.19/51.41 exact zenon_H14.
% 51.19/51.41 cut (((op2 (e23) (op2 (e23) (e23))) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H14d].
% 51.19/51.41 cut (((e20) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H20d].
% 51.19/51.41 congruence.
% 51.19/51.41 elim (classic ((op2 (e23) (e22)) = (op2 (e23) (e22)))); [ zenon_intro zenon_H20a | zenon_intro zenon_H20b ].
% 51.19/51.41 cut (((op2 (e23) (e22)) = (op2 (e23) (e22))) = ((e20) = (op2 (e23) (e22)))).
% 51.19/51.41 intro zenon_D_pnotp.
% 51.19/51.41 apply zenon_H20d.
% 51.19/51.41 rewrite <- zenon_D_pnotp.
% 51.19/51.41 exact zenon_H20a.
% 51.19/51.41 cut (((op2 (e23) (e22)) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H20b].
% 51.19/51.41 cut (((op2 (e23) (e22)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H20e].
% 51.19/51.41 congruence.
% 51.19/51.41 exact (zenon_H20e zenon_H208).
% 51.19/51.41 apply zenon_H20b. apply refl_equal.
% 51.19/51.41 apply zenon_H20b. apply refl_equal.
% 51.19/51.41 apply (zenon_L112_); trivial.
% 51.19/51.41 apply zenon_H20b. apply refl_equal.
% 51.19/51.41 apply zenon_H20b. apply refl_equal.
% 51.19/51.41 (* end of lemma zenon_L153_ *)
% 51.19/51.41 assert (zenon_L154_ : ((e21) = (op2 (e23) (e23))) -> ((op2 (e23) (e23)) = (e20)) -> (~((e20) = (e21))) -> False).
% 51.19/51.41 do 0 intro. intros zenon_H14e zenon_H20f zenon_H210.
% 51.19/51.41 elim (classic ((e21) = (e21))); [ zenon_intro zenon_H211 | zenon_intro zenon_H1f6 ].
% 51.19/51.41 cut (((e21) = (e21)) = ((e20) = (e21))).
% 51.19/51.41 intro zenon_D_pnotp.
% 51.19/51.41 apply zenon_H210.
% 51.19/51.41 rewrite <- zenon_D_pnotp.
% 51.19/51.41 exact zenon_H211.
% 51.19/51.41 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H1f6].
% 51.19/51.41 cut (((e21) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H212].
% 51.19/51.41 congruence.
% 51.19/51.41 cut (((e21) = (op2 (e23) (e23))) = ((e21) = (e20))).
% 51.19/51.41 intro zenon_D_pnotp.
% 51.19/51.41 apply zenon_H212.
% 51.19/51.41 rewrite <- zenon_D_pnotp.
% 51.19/51.41 exact zenon_H14e.
% 51.19/51.41 cut (((op2 (e23) (e23)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H213].
% 51.19/51.41 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H1f6].
% 51.19/51.41 congruence.
% 51.19/51.41 apply zenon_H1f6. apply refl_equal.
% 51.19/51.41 exact (zenon_H213 zenon_H20f).
% 51.19/51.41 apply zenon_H1f6. apply refl_equal.
% 51.19/51.41 apply zenon_H1f6. apply refl_equal.
% 51.19/51.41 (* end of lemma zenon_L154_ *)
% 51.19/51.41 assert (zenon_L155_ : (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((e20) = (e23))) -> ((op2 (e23) (e21)) = (e23)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (~((e20) = (e21))) -> False).
% 51.19/51.41 do 0 intro. intros zenon_H214 zenon_H1fd zenon_H205 zenon_H204 zenon_H209 zenon_H14 zenon_H14e zenon_H210.
% 51.19/51.41 apply (zenon_or_s _ _ zenon_H214); [ zenon_intro zenon_H1fe | zenon_intro zenon_H215 ].
% 51.19/51.41 apply (zenon_L151_); trivial.
% 51.19/51.41 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H203 | zenon_intro zenon_H216 ].
% 51.19/51.41 apply (zenon_L152_); trivial.
% 51.19/51.41 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H208 | zenon_intro zenon_H20f ].
% 51.19/51.41 apply (zenon_L153_); trivial.
% 51.19/51.41 apply (zenon_L154_); trivial.
% 51.19/51.41 (* end of lemma zenon_L155_ *)
% 51.19/51.41 assert (zenon_L156_ : (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> ((op2 (e23) (e20)) = (e21)) -> False).
% 51.19/51.41 do 0 intro. intros zenon_H217 zenon_H14e zenon_H218.
% 51.19/51.41 cut (((e21) = (op2 (e23) (e23))) = ((op2 (e23) (e20)) = (op2 (e23) (e23)))).
% 51.19/51.41 intro zenon_D_pnotp.
% 51.19/51.41 apply zenon_H217.
% 51.19/51.41 rewrite <- zenon_D_pnotp.
% 51.19/51.41 exact zenon_H14e.
% 51.19/51.41 cut (((op2 (e23) (e23)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H197].
% 51.19/51.41 cut (((e21) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H219].
% 51.19/51.41 congruence.
% 51.19/51.41 elim (classic ((op2 (e23) (e20)) = (op2 (e23) (e20)))); [ zenon_intro zenon_H200 | zenon_intro zenon_H201 ].
% 51.19/51.41 cut (((op2 (e23) (e20)) = (op2 (e23) (e20))) = ((e21) = (op2 (e23) (e20)))).
% 51.19/51.41 intro zenon_D_pnotp.
% 51.19/51.41 apply zenon_H219.
% 51.19/51.41 rewrite <- zenon_D_pnotp.
% 51.19/51.41 exact zenon_H200.
% 51.19/51.41 cut (((op2 (e23) (e20)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H201].
% 51.19/51.41 cut (((op2 (e23) (e20)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H21a].
% 51.19/51.41 congruence.
% 51.19/51.41 exact (zenon_H21a zenon_H218).
% 51.19/51.41 apply zenon_H201. apply refl_equal.
% 51.19/51.41 apply zenon_H201. apply refl_equal.
% 51.19/51.41 apply zenon_H197. apply refl_equal.
% 51.19/51.41 (* end of lemma zenon_L156_ *)
% 51.19/51.41 assert (zenon_L157_ : (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e20)) = (e22)) -> ((op2 (e23) (e22)) = (e22)) -> False).
% 51.19/51.41 do 0 intro. intros zenon_H21b zenon_H21c zenon_H1d8.
% 51.19/51.41 cut (((op2 (e23) (e20)) = (e22)) = ((op2 (e23) (e20)) = (op2 (e23) (e22)))).
% 51.19/51.41 intro zenon_D_pnotp.
% 51.19/51.41 apply zenon_H21b.
% 51.19/51.41 rewrite <- zenon_D_pnotp.
% 51.19/51.41 exact zenon_H21c.
% 51.19/51.41 cut (((e22) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H1df].
% 51.19/51.41 cut (((op2 (e23) (e20)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H201].
% 51.19/51.41 congruence.
% 51.19/51.41 apply zenon_H201. apply refl_equal.
% 51.19/51.41 apply zenon_H1df. apply sym_equal. exact zenon_H1d8.
% 51.19/51.41 (* end of lemma zenon_L157_ *)
% 51.19/51.41 assert (zenon_L158_ : (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e20)) = (e23)) -> ((op2 (e23) (e22)) = (e23)) -> False).
% 51.19/51.41 do 0 intro. intros zenon_H21b zenon_H1cd zenon_H21d.
% 51.19/51.41 cut (((op2 (e23) (e20)) = (e23)) = ((op2 (e23) (e20)) = (op2 (e23) (e22)))).
% 51.19/51.41 intro zenon_D_pnotp.
% 51.19/51.41 apply zenon_H21b.
% 51.19/51.41 rewrite <- zenon_D_pnotp.
% 51.19/51.41 exact zenon_H1cd.
% 51.19/51.41 cut (((e23) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H21e].
% 51.19/51.41 cut (((op2 (e23) (e20)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H201].
% 51.19/51.41 congruence.
% 51.19/51.41 apply zenon_H201. apply refl_equal.
% 51.19/51.41 apply zenon_H21e. apply sym_equal. exact zenon_H21d.
% 51.19/51.41 (* end of lemma zenon_L158_ *)
% 51.19/51.41 assert (zenon_L159_ : (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e22)) = (e22)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e22)) = (e23)) -> False).
% 51.19/51.41 do 0 intro. intros zenon_H21f zenon_H14 zenon_H1fd zenon_H14e zenon_H217 zenon_H1d8 zenon_H21b zenon_H21d.
% 51.19/51.41 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H1fe | zenon_intro zenon_H220 ].
% 51.19/51.41 apply (zenon_L151_); trivial.
% 51.19/51.41 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H218 | zenon_intro zenon_H221 ].
% 51.19/51.41 apply (zenon_L156_); trivial.
% 51.19/51.41 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H21c | zenon_intro zenon_H1cd ].
% 51.19/51.41 apply (zenon_L157_); trivial.
% 51.19/51.41 apply (zenon_L158_); trivial.
% 51.19/51.41 (* end of lemma zenon_L159_ *)
% 51.19/51.41 assert (zenon_L160_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e22) (e23)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e22) (e20)) = (e22)) -> ((op2 (e20) (e22)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((e22) = (e23))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e20) = (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((e20) = (e23))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e22)) = (e22)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((e21) = (e23))) -> ((e21) = (op2 (e23) (e23))) -> False).
% 51.19/51.41 do 0 intro. intros zenon_H222 zenon_H1f3 zenon_H1ec zenon_H187 zenon_H15e zenon_H175 zenon_H1e6 zenon_H1bd zenon_H1c9 zenon_H1cc zenon_H1d7 zenon_H176 zenon_H156 zenon_H1b1 zenon_H1ac zenon_H1fa zenon_H210 zenon_H209 zenon_H205 zenon_H214 zenon_H21b zenon_H1d8 zenon_H217 zenon_H1fd zenon_H14 zenon_H21f zenon_H1f7 zenon_H14e.
% 51.19/51.41 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1cd | zenon_intro zenon_H223 ].
% 51.19/51.41 apply (zenon_L150_); trivial.
% 51.19/51.41 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H204 | zenon_intro zenon_H224 ].
% 51.19/51.41 apply (zenon_L155_); trivial.
% 51.19/51.41 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H21d | zenon_intro zenon_H1f8 ].
% 51.19/51.41 apply (zenon_L159_); trivial.
% 51.19/51.41 apply (zenon_L149_); trivial.
% 51.19/51.41 (* end of lemma zenon_L160_ *)
% 51.19/51.41 assert (zenon_L161_ : (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e22) (e20)) = (e22)) -> ((op2 (e22) (e21)) = (e22)) -> False).
% 51.19/51.41 do 0 intro. intros zenon_H225 zenon_H176 zenon_H226.
% 51.19/51.41 cut (((op2 (e22) (e20)) = (e22)) = ((op2 (e22) (e20)) = (op2 (e22) (e21)))).
% 51.19/51.41 intro zenon_D_pnotp.
% 51.19/51.41 apply zenon_H225.
% 51.19/51.41 rewrite <- zenon_D_pnotp.
% 51.19/51.41 exact zenon_H176.
% 51.19/51.41 cut (((e22) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H227].
% 51.19/51.41 cut (((op2 (e22) (e20)) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H228].
% 51.19/51.41 congruence.
% 51.19/51.41 apply zenon_H228. apply refl_equal.
% 51.19/51.41 apply zenon_H227. apply sym_equal. exact zenon_H226.
% 51.19/51.41 (* end of lemma zenon_L161_ *)
% 51.19/51.41 assert (zenon_L162_ : ((op2 (e23) (e21)) = (e20)) -> ((op2 (e23) (e21)) = (e22)) -> (~((e20) = (e22))) -> False).
% 51.19/51.41 do 0 intro. intros zenon_H203 zenon_H229 zenon_H16f.
% 51.19/51.41 elim (classic ((e22) = (e22))); [ zenon_intro zenon_H170 | zenon_intro zenon_H171 ].
% 51.19/51.41 cut (((e22) = (e22)) = ((e20) = (e22))).
% 51.19/51.41 intro zenon_D_pnotp.
% 51.19/51.41 apply zenon_H16f.
% 51.19/51.41 rewrite <- zenon_D_pnotp.
% 51.19/51.41 exact zenon_H170.
% 51.19/51.41 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H171].
% 51.19/51.41 cut (((e22) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H172].
% 51.19/51.41 congruence.
% 51.19/51.41 cut (((op2 (e23) (e21)) = (e20)) = ((e22) = (e20))).
% 51.19/51.41 intro zenon_D_pnotp.
% 51.19/51.41 apply zenon_H172.
% 51.19/51.41 rewrite <- zenon_D_pnotp.
% 51.19/51.41 exact zenon_H203.
% 51.19/51.41 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H16c].
% 51.19/51.41 cut (((op2 (e23) (e21)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H22a].
% 51.19/51.41 congruence.
% 51.19/51.41 exact (zenon_H22a zenon_H229).
% 51.19/51.41 apply zenon_H16c. apply refl_equal.
% 51.19/51.41 apply zenon_H171. apply refl_equal.
% 51.19/51.41 apply zenon_H171. apply refl_equal.
% 51.19/51.41 (* end of lemma zenon_L162_ *)
% 51.19/51.41 assert (zenon_L163_ : (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((e20) = (e22))) -> ((op2 (e23) (e21)) = (e22)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (~((e20) = (e21))) -> False).
% 51.19/51.41 do 0 intro. intros zenon_H214 zenon_H1fd zenon_H16f zenon_H229 zenon_H209 zenon_H14 zenon_H14e zenon_H210.
% 51.19/51.41 apply (zenon_or_s _ _ zenon_H214); [ zenon_intro zenon_H1fe | zenon_intro zenon_H215 ].
% 51.19/51.41 apply (zenon_L151_); trivial.
% 51.19/51.41 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H203 | zenon_intro zenon_H216 ].
% 51.19/51.41 apply (zenon_L162_); trivial.
% 51.19/51.41 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H208 | zenon_intro zenon_H20f ].
% 51.19/51.41 apply (zenon_L153_); trivial.
% 51.19/51.41 apply (zenon_L154_); trivial.
% 51.19/51.41 (* end of lemma zenon_L163_ *)
% 51.19/51.41 assert (zenon_L164_ : (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((op2 (e22) (e20)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((e20) = (e22))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (~((e20) = (e21))) -> False).
% 51.19/51.41 do 0 intro. intros zenon_H22b zenon_H164 zenon_H195 zenon_H15e zenon_H18e zenon_H187 zenon_H17f zenon_H180 zenon_H19b zenon_H176 zenon_H225 zenon_H214 zenon_H1fd zenon_H16f zenon_H209 zenon_H14 zenon_H14e zenon_H210.
% 51.19/51.41 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H165 | zenon_intro zenon_H22c ].
% 51.19/51.41 apply (zenon_L117_); trivial.
% 51.19/51.41 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H17c | zenon_intro zenon_H22d ].
% 51.19/51.41 apply (zenon_L127_); trivial.
% 51.19/51.41 apply (zenon_or_s _ _ zenon_H22d); [ zenon_intro zenon_H226 | zenon_intro zenon_H229 ].
% 51.19/51.41 apply (zenon_L161_); trivial.
% 51.19/51.41 apply (zenon_L163_); trivial.
% 51.19/51.41 (* end of lemma zenon_L164_ *)
% 51.19/51.41 assert (zenon_L165_ : (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((e22) = (e23))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e20) = (e23))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((e21) = (e23))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> ((op2 (e21) (e20)) = (e20)) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((e20) = (e21))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((e20) = (e22))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e22) (e20)) = (e22)) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> False).
% 51.19/51.41 do 0 intro. intros zenon_H22e zenon_H222 zenon_H1f3 zenon_H1ec zenon_H175 zenon_H1e6 zenon_H1bd zenon_H1cc zenon_H1d7 zenon_H156 zenon_H1b1 zenon_H1ac zenon_H1fa zenon_H205 zenon_H21b zenon_H217 zenon_H21f zenon_H1f7 zenon_H1a7 zenon_H16d zenon_H22f zenon_H19f zenon_H168 zenon_H230 zenon_H210 zenon_H14e zenon_H209 zenon_H16f zenon_H1fd zenon_H214 zenon_H225 zenon_H176 zenon_H19b zenon_H180 zenon_H18e zenon_H195 zenon_H164 zenon_H22b zenon_H15e zenon_H14 zenon_H187.
% 51.19/51.41 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H16e | zenon_intro zenon_H231 ].
% 51.19/51.41 apply (zenon_L120_); trivial.
% 51.19/51.41 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_H17c | zenon_intro zenon_H232 ].
% 51.19/51.41 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H169 | zenon_intro zenon_H233 ].
% 51.19/51.41 apply (zenon_L118_); trivial.
% 51.19/51.41 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H17f | zenon_intro zenon_H234 ].
% 51.19/51.41 apply (zenon_L127_); trivial.
% 51.19/51.41 apply (zenon_or_s _ _ zenon_H234); [ zenon_intro zenon_H19e | zenon_intro zenon_H1d8 ].
% 51.19/51.41 apply (zenon_L128_); trivial.
% 51.19/51.41 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H235 ].
% 51.19/51.41 apply (zenon_L129_); trivial.
% 51.19/51.41 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H1a8 | zenon_intro zenon_H236 ].
% 51.19/51.41 apply (zenon_L130_); trivial.
% 51.19/51.41 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1c9 | zenon_intro zenon_H20f ].
% 51.19/51.41 apply (zenon_L160_); trivial.
% 51.19/51.41 apply (zenon_L154_); trivial.
% 51.19/51.41 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H17f | zenon_intro zenon_H186 ].
% 51.19/51.41 apply (zenon_L164_); trivial.
% 51.19/51.41 apply (zenon_L124_); trivial.
% 51.19/51.41 (* end of lemma zenon_L165_ *)
% 51.19/51.41 assert (zenon_L166_ : ((op2 (e20) (e20)) = (e21)) -> ((op2 (e20) (e20)) = (e23)) -> (~((e21) = (e23))) -> False).
% 51.19/51.41 do 0 intro. intros zenon_H237 zenon_H238 zenon_H1f7.
% 51.19/51.41 elim (classic ((e23) = (e23))); [ zenon_intro zenon_H1ad | zenon_intro zenon_H14c ].
% 51.19/51.41 cut (((e23) = (e23)) = ((e21) = (e23))).
% 51.19/51.41 intro zenon_D_pnotp.
% 51.19/51.41 apply zenon_H1f7.
% 51.19/51.41 rewrite <- zenon_D_pnotp.
% 51.19/51.41 exact zenon_H1ad.
% 51.19/51.41 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H14c].
% 51.19/51.41 cut (((e23) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H239].
% 51.19/51.41 congruence.
% 51.19/51.41 cut (((op2 (e20) (e20)) = (e21)) = ((e23) = (e21))).
% 51.19/51.41 intro zenon_D_pnotp.
% 51.19/51.41 apply zenon_H239.
% 51.19/51.41 rewrite <- zenon_D_pnotp.
% 51.19/51.41 exact zenon_H237.
% 51.19/51.41 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H1f6].
% 51.19/51.41 cut (((op2 (e20) (e20)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H23a].
% 51.19/51.41 congruence.
% 51.19/51.41 exact (zenon_H23a zenon_H238).
% 51.19/51.41 apply zenon_H1f6. apply refl_equal.
% 51.19/51.41 apply zenon_H14c. apply refl_equal.
% 51.19/51.41 apply zenon_H14c. apply refl_equal.
% 51.19/51.41 (* end of lemma zenon_L166_ *)
% 51.19/51.41 assert (zenon_L167_ : (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> ((op2 (e21) (e20)) = (e23)) -> ((op2 (e21) (e23)) = (e23)) -> False).
% 51.19/51.41 do 0 intro. intros zenon_H1a7 zenon_H23b zenon_H1bc.
% 51.19/51.41 cut (((op2 (e21) (e20)) = (e23)) = ((op2 (e21) (e20)) = (op2 (e21) (e23)))).
% 51.19/51.41 intro zenon_D_pnotp.
% 51.19/51.41 apply zenon_H1a7.
% 51.19/51.41 rewrite <- zenon_D_pnotp.
% 51.19/51.41 exact zenon_H23b.
% 51.19/51.41 cut (((e23) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H1c5].
% 51.19/51.41 cut (((op2 (e21) (e20)) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1aa].
% 51.19/51.41 congruence.
% 51.19/51.41 apply zenon_H1aa. apply refl_equal.
% 51.19/51.41 apply zenon_H1c5. apply sym_equal. exact zenon_H1bc.
% 51.19/51.41 (* end of lemma zenon_L167_ *)
% 51.19/51.41 assert (zenon_L168_ : (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> ((op2 (e23) (e22)) = (e21)) -> False).
% 51.19/51.41 do 0 intro. intros zenon_H23c zenon_H14e zenon_H23d.
% 51.19/51.41 cut (((e21) = (op2 (e23) (e23))) = ((op2 (e23) (e22)) = (op2 (e23) (e23)))).
% 51.19/51.41 intro zenon_D_pnotp.
% 51.19/51.41 apply zenon_H23c.
% 51.19/51.41 rewrite <- zenon_D_pnotp.
% 51.19/51.41 exact zenon_H14e.
% 51.19/51.41 cut (((op2 (e23) (e23)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H197].
% 51.19/51.41 cut (((e21) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H23e].
% 51.19/51.41 congruence.
% 51.19/51.41 elim (classic ((op2 (e23) (e22)) = (op2 (e23) (e22)))); [ zenon_intro zenon_H20a | zenon_intro zenon_H20b ].
% 51.19/51.41 cut (((op2 (e23) (e22)) = (op2 (e23) (e22))) = ((e21) = (op2 (e23) (e22)))).
% 51.19/51.41 intro zenon_D_pnotp.
% 51.19/51.41 apply zenon_H23e.
% 51.19/51.41 rewrite <- zenon_D_pnotp.
% 51.19/51.41 exact zenon_H20a.
% 51.19/51.41 cut (((op2 (e23) (e22)) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H20b].
% 51.19/51.41 cut (((op2 (e23) (e22)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H23f].
% 51.19/51.41 congruence.
% 51.19/51.41 exact (zenon_H23f zenon_H23d).
% 51.19/51.41 apply zenon_H20b. apply refl_equal.
% 51.19/51.41 apply zenon_H20b. apply refl_equal.
% 51.19/51.41 apply zenon_H197. apply refl_equal.
% 51.19/51.41 (* end of lemma zenon_L168_ *)
% 51.19/51.41 assert (zenon_L169_ : (((op2 (op2 (e20) (e20)) (op2 (e20) (e20))) = (e20))/\(((op2 (op2 (e20) (e21)) (op2 (e20) (e21))) = (e21))/\(((op2 (op2 (e20) (e22)) (op2 (e20) (e22))) = (e22))/\((op2 (op2 (e20) (e23)) (op2 (e20) (e23))) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e23)) = (e22)) -> ((op2 (e23) (e22)) = (e23)) -> False).
% 51.19/51.41 do 0 intro. intros zenon_H1b0 zenon_H1d7 zenon_H175 zenon_H21d.
% 51.19/51.41 apply (zenon_and_s _ _ zenon_H1b0). zenon_intro zenon_H1b3. zenon_intro zenon_H1b2.
% 51.19/51.41 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H1b5. zenon_intro zenon_H1b4.
% 51.19/51.41 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_H1b7. zenon_intro zenon_H1b6.
% 51.19/51.41 cut (((op2 (op2 (e20) (e23)) (op2 (e20) (e23))) = (e23)) = ((op2 (e22) (e22)) = (op2 (e23) (e22)))).
% 51.19/51.41 intro zenon_D_pnotp.
% 51.19/51.41 apply zenon_H1d7.
% 51.19/51.41 rewrite <- zenon_D_pnotp.
% 51.19/51.41 exact zenon_H1b6.
% 51.19/51.41 cut (((e23) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H21e].
% 51.19/51.41 cut (((op2 (op2 (e20) (e23)) (op2 (e20) (e23))) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H1e9].
% 51.19/51.41 congruence.
% 51.19/51.41 elim (classic ((op2 (e22) (e22)) = (op2 (e22) (e22)))); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H1a1 ].
% 51.19/51.41 cut (((op2 (e22) (e22)) = (op2 (e22) (e22))) = ((op2 (op2 (e20) (e23)) (op2 (e20) (e23))) = (op2 (e22) (e22)))).
% 51.19/51.41 intro zenon_D_pnotp.
% 51.19/51.41 apply zenon_H1e9.
% 51.19/51.41 rewrite <- zenon_D_pnotp.
% 51.19/51.41 exact zenon_H1a0.
% 51.19/51.41 cut (((op2 (e22) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H1a1].
% 51.19/51.41 cut (((op2 (e22) (e22)) = (op2 (op2 (e20) (e23)) (op2 (e20) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H1e4].
% 51.19/51.41 congruence.
% 51.19/51.41 apply (zenon_L139_); trivial.
% 51.19/51.41 apply zenon_H1a1. apply refl_equal.
% 51.19/51.41 apply zenon_H1a1. apply refl_equal.
% 51.19/51.41 apply zenon_H21e. apply sym_equal. exact zenon_H21d.
% 51.19/51.41 (* end of lemma zenon_L169_ *)
% 51.19/51.41 assert (zenon_L170_ : (((op2 (op2 (e21) (e20)) (op2 (e21) (e20))) = (e20))/\(((op2 (op2 (e21) (e21)) (op2 (e21) (e21))) = (e21))/\(((op2 (op2 (e21) (e22)) (op2 (e21) (e22))) = (e22))/\((op2 (op2 (e21) (e23)) (op2 (e21) (e23))) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((op2 (e21) (e23)) = (e20)) -> ((op2 (e21) (e20)) = (e23)) -> False).
% 51.19/51.41 do 0 intro. intros zenon_H1bb zenon_H240 zenon_H1a8 zenon_H23b.
% 51.19/51.41 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H1bf. zenon_intro zenon_H1be.
% 51.19/51.41 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H1c1. zenon_intro zenon_H1c0.
% 51.19/51.41 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_H1c3. zenon_intro zenon_H1c2.
% 51.19/51.41 cut (((op2 (op2 (e21) (e23)) (op2 (e21) (e23))) = (e23)) = ((op2 (e20) (e20)) = (op2 (e21) (e20)))).
% 51.19/51.41 intro zenon_D_pnotp.
% 51.19/51.41 apply zenon_H240.
% 51.19/51.41 rewrite <- zenon_D_pnotp.
% 51.19/51.41 exact zenon_H1c2.
% 51.19/51.41 cut (((e23) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H241].
% 51.19/51.41 cut (((op2 (op2 (e21) (e23)) (op2 (e21) (e23))) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1eb].
% 51.19/51.41 congruence.
% 51.19/51.41 elim (classic ((op2 (e20) (e20)) = (op2 (e20) (e20)))); [ zenon_intro zenon_H161 | zenon_intro zenon_H162 ].
% 51.19/51.41 cut (((op2 (e20) (e20)) = (op2 (e20) (e20))) = ((op2 (op2 (e21) (e23)) (op2 (e21) (e23))) = (op2 (e20) (e20)))).
% 51.19/51.41 intro zenon_D_pnotp.
% 51.19/51.41 apply zenon_H1eb.
% 51.19/51.41 rewrite <- zenon_D_pnotp.
% 51.19/51.41 exact zenon_H161.
% 51.19/51.41 cut (((op2 (e20) (e20)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H162].
% 51.19/51.41 cut (((op2 (e20) (e20)) = (op2 (op2 (e21) (e23)) (op2 (e21) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H1ea].
% 51.19/51.41 congruence.
% 51.19/51.41 apply (zenon_L141_); trivial.
% 51.19/51.41 apply zenon_H162. apply refl_equal.
% 51.19/51.41 apply zenon_H162. apply refl_equal.
% 51.19/51.41 apply zenon_H241. apply sym_equal. exact zenon_H23b.
% 51.19/51.41 (* end of lemma zenon_L170_ *)
% 51.19/51.41 assert (zenon_L171_ : (~((op2 (e21) (e21)) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> ((e21) = (op2 (e23) (e23))) -> False).
% 51.19/51.41 do 0 intro. intros zenon_H242 zenon_H14e.
% 51.19/51.41 cut (((e21) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H243].
% 51.19/51.41 cut (((e21) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H243].
% 51.19/51.41 congruence.
% 51.19/51.41 exact (zenon_H243 zenon_H14e).
% 51.19/51.41 exact (zenon_H243 zenon_H14e).
% 51.19/51.41 (* end of lemma zenon_L171_ *)
% 51.19/51.41 assert (zenon_L172_ : (((op2 (op2 (e23) (e20)) (op2 (e23) (e20))) = (e20))/\(((op2 (op2 (e23) (e21)) (op2 (e23) (e21))) = (e21))/\(((op2 (op2 (e23) (e22)) (op2 (e23) (e22))) = (e22))/\((op2 (op2 (e23) (e23)) (op2 (e23) (e23))) = (e23))))) -> ((e21) = (op2 (e23) (e23))) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> False).
% 51.19/51.41 do 0 intro. intros zenon_H1d6 zenon_H14e zenon_H244 zenon_H245.
% 51.19/51.41 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1da. zenon_intro zenon_H1d9.
% 51.19/51.41 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1dc. zenon_intro zenon_H1db.
% 51.19/51.41 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1de. zenon_intro zenon_H1dd.
% 51.19/51.41 elim (classic ((op2 (e21) (e21)) = (op2 (e21) (e21)))); [ zenon_intro zenon_H246 | zenon_intro zenon_H247 ].
% 51.19/51.41 cut (((op2 (e21) (e21)) = (op2 (e21) (e21))) = ((op2 (e20) (e21)) = (op2 (e21) (e21)))).
% 51.19/51.41 intro zenon_D_pnotp.
% 51.19/51.41 apply zenon_H245.
% 51.19/51.41 rewrite <- zenon_D_pnotp.
% 51.19/51.41 exact zenon_H246.
% 51.19/51.41 cut (((op2 (e21) (e21)) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H247].
% 51.19/51.41 cut (((op2 (e21) (e21)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H248].
% 51.19/51.41 congruence.
% 51.19/51.41 cut (((op2 (op2 (e23) (e23)) (op2 (e23) (e23))) = (e23)) = ((op2 (e21) (e21)) = (op2 (e20) (e21)))).
% 51.19/51.41 intro zenon_D_pnotp.
% 51.19/51.41 apply zenon_H248.
% 51.19/51.41 rewrite <- zenon_D_pnotp.
% 51.19/51.41 exact zenon_H1dd.
% 51.19/51.41 cut (((e23) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H249].
% 51.19/51.41 cut (((op2 (op2 (e23) (e23)) (op2 (e23) (e23))) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H24a].
% 51.19/51.41 congruence.
% 51.19/51.41 elim (classic ((op2 (e21) (e21)) = (op2 (e21) (e21)))); [ zenon_intro zenon_H246 | zenon_intro zenon_H247 ].
% 51.19/51.41 cut (((op2 (e21) (e21)) = (op2 (e21) (e21))) = ((op2 (op2 (e23) (e23)) (op2 (e23) (e23))) = (op2 (e21) (e21)))).
% 51.19/51.41 intro zenon_D_pnotp.
% 51.19/51.41 apply zenon_H24a.
% 51.19/51.41 rewrite <- zenon_D_pnotp.
% 51.19/51.41 exact zenon_H246.
% 51.19/51.41 cut (((op2 (e21) (e21)) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H247].
% 51.19/51.41 cut (((op2 (e21) (e21)) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H242].
% 51.19/51.41 congruence.
% 51.19/51.41 apply (zenon_L171_); trivial.
% 51.19/51.41 apply zenon_H247. apply refl_equal.
% 51.19/51.41 apply zenon_H247. apply refl_equal.
% 51.19/51.41 apply zenon_H249. apply sym_equal. exact zenon_H244.
% 51.19/51.41 apply zenon_H247. apply refl_equal.
% 51.19/51.41 apply zenon_H247. apply refl_equal.
% 51.19/51.41 (* end of lemma zenon_L172_ *)
% 51.19/51.41 assert (zenon_L173_ : ((op2 (e23) (e22)) = (e23)) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e21) (e20)) = (e23)) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e22) (e23)) = (e23)) -> ((e21) = (op2 (e23) (e23))) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> False).
% 51.19/51.41 do 0 intro. intros zenon_H21d zenon_H175 zenon_H1d7 zenon_H23b zenon_H1a8 zenon_H240 zenon_H1ec zenon_H1e7 zenon_H14e zenon_H244 zenon_H245.
% 51.19/51.41 apply (zenon_or_s _ _ ax11); [ zenon_intro zenon_H1b0 | zenon_intro zenon_H1e2 ].
% 51.19/51.41 apply (zenon_L169_); trivial.
% 51.19/51.41 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H1bb | zenon_intro zenon_H1e3 ].
% 51.19/51.41 apply (zenon_L170_); trivial.
% 51.19/51.41 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H1cb | zenon_intro zenon_H1d6 ].
% 51.19/51.41 apply (zenon_L143_); trivial.
% 51.19/51.41 apply (zenon_L172_); trivial.
% 51.19/51.41 (* end of lemma zenon_L173_ *)
% 51.19/51.41 assert (zenon_L174_ : (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e20)) = (e22)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e21) (e20)) = (e23)) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e22) (e23)) = (e23)) -> ((e21) = (op2 (e23) (e23))) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> False).
% 51.19/51.41 do 0 intro. intros zenon_H24b zenon_H209 zenon_H14 zenon_H23c zenon_H21c zenon_H21b zenon_H175 zenon_H1d7 zenon_H23b zenon_H1a8 zenon_H240 zenon_H1ec zenon_H1e7 zenon_H14e zenon_H244 zenon_H245.
% 51.19/51.41 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H208 | zenon_intro zenon_H24c ].
% 51.19/51.41 apply (zenon_L153_); trivial.
% 51.19/51.41 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H23d | zenon_intro zenon_H24d ].
% 51.19/51.41 apply (zenon_L168_); trivial.
% 51.19/51.41 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H21d ].
% 51.19/51.41 apply (zenon_L157_); trivial.
% 51.19/51.41 apply (zenon_L173_); trivial.
% 51.19/51.41 (* end of lemma zenon_L174_ *)
% 51.19/51.41 assert (zenon_L175_ : ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e23)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e22) (e23)) = (e23)) -> ((e21) = (op2 (e23) (e23))) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> False).
% 51.19/51.41 do 0 intro. intros zenon_H175 zenon_H1e6 zenon_H1bd zenon_H1bc zenon_H1ec zenon_H1e7 zenon_H14e zenon_H244 zenon_H245.
% 51.19/51.41 apply (zenon_or_s _ _ ax11); [ zenon_intro zenon_H1b0 | zenon_intro zenon_H1e2 ].
% 51.19/51.41 apply (zenon_L140_); trivial.
% 51.19/51.41 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H1bb | zenon_intro zenon_H1e3 ].
% 51.19/51.41 apply (zenon_L134_); trivial.
% 51.19/51.41 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H1cb | zenon_intro zenon_H1d6 ].
% 51.19/51.41 apply (zenon_L143_); trivial.
% 51.19/51.41 apply (zenon_L172_); trivial.
% 51.19/51.41 (* end of lemma zenon_L175_ *)
% 51.19/51.41 assert (zenon_L176_ : (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((op2 (e21) (e20)) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e20)) = (e22)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e22) (e23)) = (e23)) -> ((e21) = (op2 (e23) (e23))) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> False).
% 51.19/51.41 do 0 intro. intros zenon_H1f3 zenon_H240 zenon_H23b zenon_H1d7 zenon_H21b zenon_H21c zenon_H23c zenon_H209 zenon_H24b zenon_H187 zenon_H14 zenon_H15e zenon_H175 zenon_H1e6 zenon_H1bd zenon_H1ec zenon_H1e7 zenon_H14e zenon_H244 zenon_H245.
% 51.19/51.41 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H1a8 | zenon_intro zenon_H1f4 ].
% 51.19/51.41 apply (zenon_L174_); trivial.
% 51.19/51.41 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H1f0 | zenon_intro zenon_H1f5 ].
% 51.19/51.41 apply (zenon_L145_); trivial.
% 51.19/51.41 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H186 | zenon_intro zenon_H1bc ].
% 51.19/51.41 apply (zenon_L124_); trivial.
% 51.19/51.41 apply (zenon_L175_); trivial.
% 51.19/51.41 (* end of lemma zenon_L176_ *)
% 51.19/51.41 assert (zenon_L177_ : ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e23) (e20)) = (e23)) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e22) (e23)) = (e23)) -> ((e21) = (op2 (e23) (e23))) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> False).
% 51.19/51.41 do 0 intro. intros zenon_H175 zenon_H1e6 zenon_H1cd zenon_H1a8 zenon_H1cc zenon_H1ec zenon_H1e7 zenon_H14e zenon_H244 zenon_H245.
% 51.19/51.41 apply (zenon_or_s _ _ ax11); [ zenon_intro zenon_H1b0 | zenon_intro zenon_H1e2 ].
% 51.19/51.41 apply (zenon_L140_); trivial.
% 51.19/51.41 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H1bb | zenon_intro zenon_H1e3 ].
% 51.19/51.41 apply (zenon_L142_); trivial.
% 51.19/51.41 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H1cb | zenon_intro zenon_H1d6 ].
% 51.19/51.41 apply (zenon_L143_); trivial.
% 51.19/51.41 apply (zenon_L172_); trivial.
% 51.19/51.41 (* end of lemma zenon_L177_ *)
% 51.19/51.41 assert (zenon_L178_ : (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((op2 (e20) (e21)) = (e23)) -> ((e21) = (op2 (e23) (e23))) -> ((op2 (e22) (e23)) = (e23)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e21) (e23)) = (e20)) -> ((op2 (e23) (e20)) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> False).
% 51.19/51.41 do 0 intro. intros zenon_H19b zenon_H245 zenon_H244 zenon_H14e zenon_H1e7 zenon_H1ec zenon_H1cc zenon_H1a8 zenon_H1cd zenon_H1e6 zenon_H187 zenon_H18e zenon_H15e zenon_H14 zenon_H195.
% 51.19/51.41 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H175 | zenon_intro zenon_H19c ].
% 51.19/51.41 apply (zenon_L177_); trivial.
% 51.19/51.41 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H186 | zenon_intro zenon_H19d ].
% 51.19/51.41 apply (zenon_L124_); trivial.
% 51.19/51.41 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H18d | zenon_intro zenon_H194 ].
% 51.19/51.41 apply (zenon_L125_); trivial.
% 51.19/51.41 apply (zenon_L126_); trivial.
% 51.19/51.41 (* end of lemma zenon_L178_ *)
% 51.19/51.41 assert (zenon_L179_ : (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e23) (e20)) = (e23)) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e22) (e23)) = (e23)) -> ((e21) = (op2 (e23) (e23))) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> False).
% 51.19/51.41 do 0 intro. intros zenon_H1f3 zenon_H195 zenon_H18e zenon_H1cd zenon_H1cc zenon_H19b zenon_H187 zenon_H14 zenon_H15e zenon_H175 zenon_H1e6 zenon_H1bd zenon_H1ec zenon_H1e7 zenon_H14e zenon_H244 zenon_H245.
% 51.19/51.41 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H1a8 | zenon_intro zenon_H1f4 ].
% 51.19/51.41 apply (zenon_L178_); trivial.
% 51.19/51.41 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H1f0 | zenon_intro zenon_H1f5 ].
% 51.19/51.41 apply (zenon_L145_); trivial.
% 51.19/51.41 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H186 | zenon_intro zenon_H1bc ].
% 51.19/51.41 apply (zenon_L124_); trivial.
% 51.19/51.41 apply (zenon_L175_); trivial.
% 51.19/51.41 (* end of lemma zenon_L179_ *)
% 51.19/51.41 assert (zenon_L180_ : (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e22)) = (e22)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e22) (e23)) = (e23)) -> ((e21) = (op2 (e23) (e23))) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> False).
% 51.19/51.41 do 0 intro. intros zenon_H21f zenon_H1fd zenon_H217 zenon_H1d8 zenon_H21b zenon_H1f3 zenon_H195 zenon_H18e zenon_H1cc zenon_H19b zenon_H187 zenon_H14 zenon_H15e zenon_H175 zenon_H1e6 zenon_H1bd zenon_H1ec zenon_H1e7 zenon_H14e zenon_H244 zenon_H245.
% 51.19/51.41 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H1fe | zenon_intro zenon_H220 ].
% 51.19/51.41 apply (zenon_L151_); trivial.
% 51.19/51.41 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H218 | zenon_intro zenon_H221 ].
% 51.19/51.41 apply (zenon_L156_); trivial.
% 51.19/51.41 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H21c | zenon_intro zenon_H1cd ].
% 51.19/51.41 apply (zenon_L157_); trivial.
% 51.19/51.41 apply (zenon_L179_); trivial.
% 51.19/51.41 (* end of lemma zenon_L180_ *)
% 51.19/51.41 assert (zenon_L181_ : (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e21) (e20)) = (e23)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((e20) = (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((op2 (e20) (e21)) = (e23)) -> ((e21) = (op2 (e23) (e23))) -> ((op2 (e22) (e23)) = (e23)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> False).
% 51.19/51.41 do 0 intro. intros zenon_H24e zenon_H24b zenon_H23c zenon_H1d7 zenon_H23b zenon_H240 zenon_H210 zenon_H209 zenon_H16f zenon_H214 zenon_H245 zenon_H244 zenon_H14e zenon_H1e7 zenon_H1ec zenon_H1bd zenon_H1e6 zenon_H175 zenon_H187 zenon_H19b zenon_H1cc zenon_H18e zenon_H1f3 zenon_H21b zenon_H217 zenon_H1fd zenon_H21f zenon_H15e zenon_H14 zenon_H195.
% 51.19/51.41 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_H21c | zenon_intro zenon_H24f ].
% 51.19/51.41 apply (zenon_L176_); trivial.
% 51.19/51.41 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H229 | zenon_intro zenon_H250 ].
% 51.19/51.41 apply (zenon_L163_); trivial.
% 51.19/51.41 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H194 ].
% 51.19/51.41 apply (zenon_L180_); trivial.
% 51.19/51.41 apply (zenon_L126_); trivial.
% 51.19/51.41 (* end of lemma zenon_L181_ *)
% 51.19/51.41 assert (zenon_L182_ : (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e22) = (e23))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e20) = (e22))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((op2 (e21) (e20)) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (((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))))) -> (~((e21) = (e23))) -> ((e21) = (op2 (e23) (e23))) -> False).
% 51.19/51.41 do 0 intro. intros zenon_H1fa zenon_H1ac zenon_H1a7 zenon_H195 zenon_H14 zenon_H15e zenon_H21f zenon_H1fd zenon_H217 zenon_H21b zenon_H1f3 zenon_H18e zenon_H1cc zenon_H19b zenon_H187 zenon_H175 zenon_H1e6 zenon_H1bd zenon_H1ec zenon_H244 zenon_H245 zenon_H214 zenon_H16f zenon_H209 zenon_H210 zenon_H240 zenon_H23b zenon_H1d7 zenon_H23c zenon_H24b zenon_H24e zenon_H1f7 zenon_H14e.
% 51.19/51.41 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H1ab | zenon_intro zenon_H1fb ].
% 51.19/51.41 apply (zenon_L132_); trivial.
% 51.19/51.41 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H1bc | zenon_intro zenon_H1fc ].
% 51.19/51.41 apply (zenon_L167_); trivial.
% 51.19/51.41 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H1f8 ].
% 51.19/51.41 apply (zenon_L181_); trivial.
% 51.19/51.41 apply (zenon_L149_); trivial.
% 51.19/51.41 (* end of lemma zenon_L182_ *)
% 51.19/51.41 assert (zenon_L183_ : (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e20) = (e22))) -> ((op2 (e20) (e23)) = (e20)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> False).
% 51.19/51.41 do 0 intro. intros zenon_H19b zenon_H16f zenon_H1a5 zenon_H187 zenon_H18e zenon_H15e zenon_H14 zenon_H195.
% 51.19/51.41 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H175 | zenon_intro zenon_H19c ].
% 51.19/51.41 apply (zenon_L129_); trivial.
% 51.19/51.41 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H186 | zenon_intro zenon_H19d ].
% 51.19/51.41 apply (zenon_L124_); trivial.
% 51.19/51.41 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H18d | zenon_intro zenon_H194 ].
% 51.19/51.41 apply (zenon_L125_); trivial.
% 51.19/51.41 apply (zenon_L126_); trivial.
% 51.19/51.41 (* end of lemma zenon_L183_ *)
% 51.19/51.41 assert (zenon_L184_ : ((op2 (e21) (e23)) = (e20)) -> ((op2 (e21) (e23)) = (e23)) -> (~((e20) = (e23))) -> False).
% 51.19/51.41 do 0 intro. intros zenon_H1a8 zenon_H1bc zenon_H205.
% 51.19/51.41 elim (classic ((e23) = (e23))); [ zenon_intro zenon_H1ad | zenon_intro zenon_H14c ].
% 51.19/51.41 cut (((e23) = (e23)) = ((e20) = (e23))).
% 51.19/51.41 intro zenon_D_pnotp.
% 51.19/51.41 apply zenon_H205.
% 51.19/51.41 rewrite <- zenon_D_pnotp.
% 51.19/51.41 exact zenon_H1ad.
% 51.19/51.41 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H14c].
% 51.19/51.41 cut (((e23) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H206].
% 51.19/51.41 congruence.
% 51.19/51.41 cut (((op2 (e21) (e23)) = (e20)) = ((e23) = (e20))).
% 51.19/51.41 intro zenon_D_pnotp.
% 51.19/51.41 apply zenon_H206.
% 51.19/51.41 rewrite <- zenon_D_pnotp.
% 51.19/51.41 exact zenon_H1a8.
% 51.19/51.41 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H16c].
% 51.19/51.41 cut (((op2 (e21) (e23)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H251].
% 51.19/51.41 congruence.
% 51.19/51.41 exact (zenon_H251 zenon_H1bc).
% 51.19/51.41 apply zenon_H16c. apply refl_equal.
% 51.19/51.41 apply zenon_H14c. apply refl_equal.
% 51.19/51.41 apply zenon_H14c. apply refl_equal.
% 51.19/51.41 (* end of lemma zenon_L184_ *)
% 51.19/51.41 assert (zenon_L185_ : (((op2 (op2 (e22) (e20)) (op2 (e22) (e20))) = (e20))/\(((op2 (op2 (e22) (e21)) (op2 (e22) (e21))) = (e21))/\(((op2 (op2 (e22) (e22)) (op2 (e22) (e22))) = (e22))/\((op2 (op2 (e22) (e23)) (op2 (e22) (e23))) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e22) (e23)) = (e20)) -> ((op2 (e22) (e20)) = (e23)) -> False).
% 51.19/51.41 do 0 intro. intros zenon_H1cb zenon_H1b1 zenon_H1c9 zenon_H252.
% 51.19/51.41 apply (zenon_and_s _ _ zenon_H1cb). zenon_intro zenon_H1cf. zenon_intro zenon_H1ce.
% 51.19/51.41 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_H1d1. zenon_intro zenon_H1d0.
% 51.19/51.41 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1d3. zenon_intro zenon_H1d2.
% 51.19/51.41 cut (((op2 (op2 (e22) (e23)) (op2 (e22) (e23))) = (e23)) = ((op2 (e20) (e20)) = (op2 (e22) (e20)))).
% 51.19/51.41 intro zenon_D_pnotp.
% 51.19/51.41 apply zenon_H1b1.
% 51.19/51.41 rewrite <- zenon_D_pnotp.
% 51.19/51.41 exact zenon_H1d2.
% 51.19/51.41 cut (((e23) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H253].
% 51.19/51.41 cut (((op2 (op2 (e22) (e23)) (op2 (e22) (e23))) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1d5].
% 51.19/51.41 congruence.
% 51.19/51.41 elim (classic ((op2 (e20) (e20)) = (op2 (e20) (e20)))); [ zenon_intro zenon_H161 | zenon_intro zenon_H162 ].
% 51.19/51.41 cut (((op2 (e20) (e20)) = (op2 (e20) (e20))) = ((op2 (op2 (e22) (e23)) (op2 (e22) (e23))) = (op2 (e20) (e20)))).
% 51.19/51.41 intro zenon_D_pnotp.
% 51.19/51.41 apply zenon_H1d5.
% 51.19/51.41 rewrite <- zenon_D_pnotp.
% 51.19/51.41 exact zenon_H161.
% 51.19/51.41 cut (((op2 (e20) (e20)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H162].
% 51.19/51.41 cut (((op2 (e20) (e20)) = (op2 (op2 (e22) (e23)) (op2 (e22) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H1c8].
% 51.19/51.41 congruence.
% 51.19/51.41 apply (zenon_L135_); trivial.
% 51.19/51.41 apply zenon_H162. apply refl_equal.
% 51.19/51.41 apply zenon_H162. apply refl_equal.
% 51.19/51.41 apply zenon_H253. apply sym_equal. exact zenon_H252.
% 51.19/51.41 (* end of lemma zenon_L185_ *)
% 51.19/51.41 assert (zenon_L186_ : ((op2 (e23) (e22)) = (e23)) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e23)) -> ((op2 (e22) (e20)) = (e23)) -> ((op2 (e22) (e23)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((e21) = (op2 (e23) (e23))) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> False).
% 51.19/51.41 do 0 intro. intros zenon_H21d zenon_H175 zenon_H1d7 zenon_H1bd zenon_H1bc zenon_H252 zenon_H1c9 zenon_H1b1 zenon_H14e zenon_H244 zenon_H245.
% 51.19/51.41 apply (zenon_or_s _ _ ax11); [ zenon_intro zenon_H1b0 | zenon_intro zenon_H1e2 ].
% 51.19/51.41 apply (zenon_L169_); trivial.
% 51.19/51.41 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H1bb | zenon_intro zenon_H1e3 ].
% 51.19/51.41 apply (zenon_L134_); trivial.
% 51.19/51.41 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H1cb | zenon_intro zenon_H1d6 ].
% 51.19/51.41 apply (zenon_L185_); trivial.
% 51.19/51.41 apply (zenon_L172_); trivial.
% 51.19/51.41 (* end of lemma zenon_L186_ *)
% 51.19/51.41 assert (zenon_L187_ : (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e20)) = (e22)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e23)) -> ((op2 (e22) (e20)) = (e23)) -> ((op2 (e22) (e23)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((e21) = (op2 (e23) (e23))) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> False).
% 51.19/51.41 do 0 intro. intros zenon_H24b zenon_H209 zenon_H14 zenon_H23c zenon_H21c zenon_H21b zenon_H175 zenon_H1d7 zenon_H1bd zenon_H1bc zenon_H252 zenon_H1c9 zenon_H1b1 zenon_H14e zenon_H244 zenon_H245.
% 51.19/51.41 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H208 | zenon_intro zenon_H24c ].
% 51.19/51.41 apply (zenon_L153_); trivial.
% 51.19/51.41 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H23d | zenon_intro zenon_H24d ].
% 51.19/51.41 apply (zenon_L168_); trivial.
% 51.19/51.41 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H21d ].
% 51.19/51.41 apply (zenon_L157_); trivial.
% 51.19/51.41 apply (zenon_L186_); trivial.
% 51.19/51.41 (* end of lemma zenon_L187_ *)
% 51.19/51.41 assert (zenon_L188_ : (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((e20) = (e22))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e20) = (e23))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e22) (e20)) = (e23)) -> ((op2 (e21) (e23)) = (e23)) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e20)) = (e22)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> ((e21) = (op2 (e23) (e23))) -> (~((e20) = (e21))) -> False).
% 51.19/51.41 do 0 intro. intros zenon_H22f zenon_H195 zenon_H15e zenon_H18e zenon_H187 zenon_H16f zenon_H19b zenon_H205 zenon_H245 zenon_H244 zenon_H1b1 zenon_H252 zenon_H1bc zenon_H1bd zenon_H1d7 zenon_H175 zenon_H21b zenon_H21c zenon_H23c zenon_H14 zenon_H209 zenon_H24b zenon_H14e zenon_H210.
% 51.19/51.41 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H235 ].
% 51.19/51.41 apply (zenon_L183_); trivial.
% 51.19/51.41 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H1a8 | zenon_intro zenon_H236 ].
% 51.19/51.41 apply (zenon_L184_); trivial.
% 51.19/51.41 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1c9 | zenon_intro zenon_H20f ].
% 51.19/51.41 apply (zenon_L187_); trivial.
% 51.19/51.41 apply (zenon_L154_); trivial.
% 51.19/51.41 (* end of lemma zenon_L188_ *)
% 51.19/51.41 assert (zenon_L189_ : (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e22) (e20)) = (e23)) -> ((op2 (e22) (e23)) = (e23)) -> False).
% 51.19/51.41 do 0 intro. intros zenon_H254 zenon_H252 zenon_H1e7.
% 51.19/51.41 cut (((op2 (e22) (e20)) = (e23)) = ((op2 (e22) (e20)) = (op2 (e22) (e23)))).
% 51.19/51.41 intro zenon_D_pnotp.
% 51.19/51.41 apply zenon_H254.
% 51.19/51.41 rewrite <- zenon_D_pnotp.
% 51.19/51.41 exact zenon_H252.
% 51.19/51.41 cut (((e23) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H1e8].
% 51.19/51.41 cut (((op2 (e22) (e20)) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H228].
% 51.19/51.41 congruence.
% 51.19/51.41 apply zenon_H228. apply refl_equal.
% 51.19/51.41 apply zenon_H1e8. apply sym_equal. exact zenon_H1e7.
% 51.19/51.41 (* end of lemma zenon_L189_ *)
% 51.19/51.41 assert (zenon_L190_ : (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e22) = (e23))) -> (~((e20) = (e21))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e20)) = (e22)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((e20) = (e23))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> ((op2 (e22) (e20)) = (e23)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((e21) = (e23))) -> ((e21) = (op2 (e23) (e23))) -> False).
% 51.19/51.41 do 0 intro. intros zenon_H1fa zenon_H1ac zenon_H210 zenon_H24b zenon_H209 zenon_H14 zenon_H23c zenon_H21c zenon_H21b zenon_H175 zenon_H1d7 zenon_H1bd zenon_H1b1 zenon_H244 zenon_H245 zenon_H205 zenon_H19b zenon_H16f zenon_H187 zenon_H18e zenon_H15e zenon_H195 zenon_H22f zenon_H252 zenon_H254 zenon_H1f7 zenon_H14e.
% 51.19/51.41 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H1ab | zenon_intro zenon_H1fb ].
% 51.19/51.41 apply (zenon_L132_); trivial.
% 51.19/51.41 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H1bc | zenon_intro zenon_H1fc ].
% 51.19/51.41 apply (zenon_L188_); trivial.
% 51.19/51.41 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H1f8 ].
% 51.19/51.41 apply (zenon_L189_); trivial.
% 51.19/51.41 apply (zenon_L149_); trivial.
% 51.19/51.41 (* end of lemma zenon_L190_ *)
% 51.19/51.41 assert (zenon_L191_ : ((e21) = (op2 (e23) (e23))) -> (~((e21) = (e23))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e22) (e20)) = (e23)) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e20) = (e22))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e20) = (e23))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e20)) = (e22)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((e20) = (e21))) -> (~((e22) = (e23))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> False).
% 51.19/51.41 do 0 intro. intros zenon_H14e zenon_H1f7 zenon_H254 zenon_H252 zenon_H22f zenon_H16f zenon_H19b zenon_H205 zenon_H245 zenon_H244 zenon_H1b1 zenon_H1bd zenon_H1d7 zenon_H21b zenon_H21c zenon_H23c zenon_H209 zenon_H24b zenon_H210 zenon_H1ac zenon_H1fa zenon_H187 zenon_H18e zenon_H15e zenon_H14 zenon_H195.
% 51.19/51.41 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H175 | zenon_intro zenon_H19c ].
% 51.19/51.41 apply (zenon_L190_); trivial.
% 51.19/51.41 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H186 | zenon_intro zenon_H19d ].
% 51.19/51.41 apply (zenon_L124_); trivial.
% 51.19/51.41 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H18d | zenon_intro zenon_H194 ].
% 51.19/51.41 apply (zenon_L125_); trivial.
% 51.19/51.41 apply (zenon_L126_); trivial.
% 51.19/51.41 (* end of lemma zenon_L191_ *)
% 51.19/51.41 assert (zenon_L192_ : ((op2 (e23) (e20)) = (e22)) -> ((op2 (e23) (e20)) = (e23)) -> (~((e22) = (e23))) -> False).
% 51.19/51.41 do 0 intro. intros zenon_H21c zenon_H1cd zenon_H1ac.
% 51.19/51.41 elim (classic ((e23) = (e23))); [ zenon_intro zenon_H1ad | zenon_intro zenon_H14c ].
% 51.19/51.41 cut (((e23) = (e23)) = ((e22) = (e23))).
% 51.19/51.41 intro zenon_D_pnotp.
% 51.19/51.41 apply zenon_H1ac.
% 51.19/51.41 rewrite <- zenon_D_pnotp.
% 51.19/51.41 exact zenon_H1ad.
% 51.19/51.41 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H14c].
% 51.19/51.41 cut (((e23) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H1ae].
% 51.19/51.41 congruence.
% 51.19/51.41 cut (((op2 (e23) (e20)) = (e22)) = ((e23) = (e22))).
% 51.19/51.41 intro zenon_D_pnotp.
% 51.19/51.41 apply zenon_H1ae.
% 51.19/51.41 rewrite <- zenon_D_pnotp.
% 51.19/51.41 exact zenon_H21c.
% 51.19/51.41 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H171].
% 51.19/51.41 cut (((op2 (e23) (e20)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H255].
% 51.19/51.41 congruence.
% 51.19/51.41 exact (zenon_H255 zenon_H1cd).
% 51.19/51.41 apply zenon_H171. apply refl_equal.
% 51.19/51.41 apply zenon_H14c. apply refl_equal.
% 51.19/51.41 apply zenon_H14c. apply refl_equal.
% 51.19/51.41 (* end of lemma zenon_L192_ *)
% 51.19/51.41 assert (zenon_L193_ : ((op2 (e20) (e22)) = (e20)) -> ((op2 (e20) (e22)) = (e23)) -> (~((e20) = (e23))) -> False).
% 51.19/51.41 do 0 intro. intros zenon_H156 zenon_H256 zenon_H205.
% 51.19/51.41 elim (classic ((e23) = (e23))); [ zenon_intro zenon_H1ad | zenon_intro zenon_H14c ].
% 51.19/51.41 cut (((e23) = (e23)) = ((e20) = (e23))).
% 51.19/51.41 intro zenon_D_pnotp.
% 51.19/51.41 apply zenon_H205.
% 51.19/51.41 rewrite <- zenon_D_pnotp.
% 51.19/51.41 exact zenon_H1ad.
% 51.19/51.41 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H14c].
% 51.19/51.41 cut (((e23) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H206].
% 51.19/51.41 congruence.
% 51.19/51.41 cut (((op2 (e20) (e22)) = (e20)) = ((e23) = (e20))).
% 51.19/51.41 intro zenon_D_pnotp.
% 51.19/51.41 apply zenon_H206.
% 51.19/51.41 rewrite <- zenon_D_pnotp.
% 51.19/51.41 exact zenon_H156.
% 51.19/51.41 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H16c].
% 51.19/51.41 cut (((op2 (e20) (e22)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H257].
% 51.19/51.41 congruence.
% 51.19/51.41 exact (zenon_H257 zenon_H256).
% 51.19/51.41 apply zenon_H16c. apply refl_equal.
% 51.19/51.41 apply zenon_H14c. apply refl_equal.
% 51.19/51.41 apply zenon_H14c. apply refl_equal.
% 51.19/51.41 (* end of lemma zenon_L193_ *)
% 51.19/51.41 assert (zenon_L194_ : (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e22) = (e23))) -> ((op2 (e20) (e23)) = (e23)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> False).
% 51.19/51.41 do 0 intro. intros zenon_H19b zenon_H1ac zenon_H1ab zenon_H187 zenon_H18e zenon_H15e zenon_H14 zenon_H195.
% 51.19/51.41 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H175 | zenon_intro zenon_H19c ].
% 51.19/51.41 apply (zenon_L132_); trivial.
% 51.19/51.41 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H186 | zenon_intro zenon_H19d ].
% 51.19/51.41 apply (zenon_L124_); trivial.
% 51.19/51.41 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H18d | zenon_intro zenon_H194 ].
% 51.19/51.41 apply (zenon_L125_); trivial.
% 51.19/51.41 apply (zenon_L126_); trivial.
% 51.19/51.41 (* end of lemma zenon_L194_ *)
% 51.19/51.41 assert (zenon_L195_ : (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> ((op2 (e23) (e20)) = (e22)) -> ((e21) = (op2 (e23) (e23))) -> (~((e21) = (e23))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((e20) = (e21))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((op2 (e20) (e20)) = (e21)) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((e20) = (e23))) -> ((op2 (e20) (e22)) = (e20)) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e22) = (e23))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> False).
% 51.19/51.41 do 0 intro. intros zenon_H258 zenon_H21c zenon_H14e zenon_H1f7 zenon_H254 zenon_H22f zenon_H16f zenon_H245 zenon_H1b1 zenon_H1bd zenon_H1d7 zenon_H21b zenon_H23c zenon_H209 zenon_H24b zenon_H210 zenon_H1fa zenon_H1a7 zenon_H21f zenon_H1fd zenon_H217 zenon_H1f3 zenon_H1cc zenon_H175 zenon_H1e6 zenon_H1ec zenon_H214 zenon_H240 zenon_H24e zenon_H237 zenon_H259 zenon_H205 zenon_H156 zenon_H19b zenon_H1ac zenon_H187 zenon_H18e zenon_H15e zenon_H14 zenon_H195.
% 51.19/51.41 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H238 | zenon_intro zenon_H25a ].
% 51.19/51.41 apply (zenon_L166_); trivial.
% 51.19/51.41 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H244 | zenon_intro zenon_H25b ].
% 51.19/51.41 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H238 | zenon_intro zenon_H25c ].
% 51.19/51.41 apply (zenon_L166_); trivial.
% 51.19/51.41 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H23b | zenon_intro zenon_H25d ].
% 51.19/51.41 apply (zenon_L182_); trivial.
% 51.19/51.41 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H252 | zenon_intro zenon_H1cd ].
% 51.19/51.41 apply (zenon_L191_); trivial.
% 51.19/51.41 apply (zenon_L192_); trivial.
% 51.19/51.41 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H256 | zenon_intro zenon_H1ab ].
% 51.19/51.41 apply (zenon_L193_); trivial.
% 51.19/51.41 apply (zenon_L194_); trivial.
% 51.19/51.41 (* end of lemma zenon_L195_ *)
% 51.19/51.41 assert (zenon_L196_ : ((op2 (e20) (e21)) = (e21)) -> ((op2 (e20) (e20)) = (e21)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> False).
% 51.19/51.41 do 0 intro. intros zenon_H25e zenon_H237 zenon_H25f.
% 51.19/51.41 elim (classic ((op2 (e20) (e21)) = (op2 (e20) (e21)))); [ zenon_intro zenon_H153 | zenon_intro zenon_H154 ].
% 51.19/51.41 cut (((op2 (e20) (e21)) = (op2 (e20) (e21))) = ((op2 (e20) (e20)) = (op2 (e20) (e21)))).
% 51.19/51.41 intro zenon_D_pnotp.
% 51.19/51.41 apply zenon_H25f.
% 51.19/51.41 rewrite <- zenon_D_pnotp.
% 51.19/51.41 exact zenon_H153.
% 51.19/51.41 cut (((op2 (e20) (e21)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H154].
% 51.19/51.41 cut (((op2 (e20) (e21)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H260].
% 51.19/51.41 congruence.
% 51.19/51.41 cut (((op2 (e20) (e21)) = (e21)) = ((op2 (e20) (e21)) = (op2 (e20) (e20)))).
% 51.19/51.41 intro zenon_D_pnotp.
% 51.19/51.41 apply zenon_H260.
% 51.19/51.41 rewrite <- zenon_D_pnotp.
% 51.19/51.41 exact zenon_H25e.
% 51.19/51.41 cut (((e21) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H261].
% 51.19/51.41 cut (((op2 (e20) (e21)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H154].
% 51.19/51.41 congruence.
% 51.19/51.41 apply zenon_H154. apply refl_equal.
% 51.19/51.41 apply zenon_H261. apply sym_equal. exact zenon_H237.
% 51.19/51.41 apply zenon_H154. apply refl_equal.
% 51.19/51.41 apply zenon_H154. apply refl_equal.
% 51.19/51.41 (* end of lemma zenon_L196_ *)
% 51.19/51.41 assert (zenon_L197_ : ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((op2 (e23) (e20)) = (e22)) -> ((op2 (e20) (e23)) = (e22)) -> ((op2 (e22) (e20)) = (e22)) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> False).
% 51.19/51.41 do 0 intro. intros zenon_H15e zenon_H21c zenon_H175 zenon_H176 zenon_H14 zenon_H262.
% 51.19/51.41 elim (classic ((op2 (e23) (e20)) = (op2 (e23) (e20)))); [ zenon_intro zenon_H200 | zenon_intro zenon_H201 ].
% 51.19/51.41 cut (((op2 (e23) (e20)) = (op2 (e23) (e20))) = ((op2 (e22) (e20)) = (op2 (e23) (e20)))).
% 51.19/51.41 intro zenon_D_pnotp.
% 51.19/51.41 apply zenon_H262.
% 51.19/51.41 rewrite <- zenon_D_pnotp.
% 51.19/51.41 exact zenon_H200.
% 51.19/51.41 cut (((op2 (e23) (e20)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H201].
% 51.19/51.41 cut (((op2 (e23) (e20)) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H263].
% 51.19/51.41 congruence.
% 51.19/51.41 cut (((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) = ((op2 (e23) (e20)) = (op2 (e22) (e20)))).
% 51.19/51.41 intro zenon_D_pnotp.
% 51.19/51.41 apply zenon_H263.
% 51.19/51.41 rewrite <- zenon_D_pnotp.
% 51.19/51.41 exact zenon_H15e.
% 51.19/51.41 cut (((op2 (op2 (e23) (op2 (e23) (e23))) (e23)) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H174].
% 51.19/51.41 cut (((e22) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H264].
% 51.19/51.41 congruence.
% 51.19/51.41 elim (classic ((op2 (e23) (e20)) = (op2 (e23) (e20)))); [ zenon_intro zenon_H200 | zenon_intro zenon_H201 ].
% 51.19/51.41 cut (((op2 (e23) (e20)) = (op2 (e23) (e20))) = ((e22) = (op2 (e23) (e20)))).
% 51.19/51.41 intro zenon_D_pnotp.
% 51.19/51.41 apply zenon_H264.
% 51.19/51.41 rewrite <- zenon_D_pnotp.
% 51.19/51.41 exact zenon_H200.
% 51.19/51.41 cut (((op2 (e23) (e20)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H201].
% 51.19/51.41 cut (((op2 (e23) (e20)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H265].
% 51.19/51.41 congruence.
% 51.19/51.41 exact (zenon_H265 zenon_H21c).
% 51.19/51.41 apply zenon_H201. apply refl_equal.
% 51.19/51.41 apply zenon_H201. apply refl_equal.
% 51.19/51.41 apply (zenon_L121_); trivial.
% 51.19/51.41 apply zenon_H201. apply refl_equal.
% 51.19/51.41 apply zenon_H201. apply refl_equal.
% 51.19/51.41 (* end of lemma zenon_L197_ *)
% 51.19/51.41 assert (zenon_L198_ : (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e22) (e20)) = (e20)) -> ((op2 (e22) (e23)) = (e20)) -> False).
% 51.19/51.41 do 0 intro. intros zenon_H254 zenon_H266 zenon_H1c9.
% 51.19/51.41 cut (((op2 (e22) (e20)) = (e20)) = ((op2 (e22) (e20)) = (op2 (e22) (e23)))).
% 51.19/51.41 intro zenon_D_pnotp.
% 51.19/51.41 apply zenon_H254.
% 51.19/51.41 rewrite <- zenon_D_pnotp.
% 51.19/51.41 exact zenon_H266.
% 51.19/51.41 cut (((e20) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H1ca].
% 51.19/51.41 cut (((op2 (e22) (e20)) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H228].
% 51.19/51.41 congruence.
% 51.19/51.41 apply zenon_H228. apply refl_equal.
% 51.19/51.41 apply zenon_H1ca. apply sym_equal. exact zenon_H1c9.
% 51.19/51.41 (* end of lemma zenon_L198_ *)
% 51.19/51.41 assert (zenon_L199_ : (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e20) = (e22))) -> ((op2 (e20) (e23)) = (e22)) -> (~((e20) = (e23))) -> ((op2 (e21) (e23)) = (e23)) -> ((op2 (e22) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (~((e20) = (e21))) -> False).
% 51.19/51.41 do 0 intro. intros zenon_H22f zenon_H16f zenon_H175 zenon_H205 zenon_H1bc zenon_H266 zenon_H254 zenon_H14e zenon_H210.
% 51.19/51.41 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H235 ].
% 51.19/51.41 apply (zenon_L129_); trivial.
% 51.19/51.41 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H1a8 | zenon_intro zenon_H236 ].
% 51.19/51.41 apply (zenon_L184_); trivial.
% 51.19/51.41 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1c9 | zenon_intro zenon_H20f ].
% 51.19/51.41 apply (zenon_L198_); trivial.
% 51.19/51.41 apply (zenon_L154_); trivial.
% 51.19/51.41 (* end of lemma zenon_L199_ *)
% 51.19/51.41 assert (zenon_L200_ : (((op2 (op2 (e21) (e20)) (op2 (e21) (e20))) = (e20))/\(((op2 (op2 (e21) (e21)) (op2 (e21) (e21))) = (e21))/\(((op2 (op2 (e21) (e22)) (op2 (e21) (e22))) = (e22))/\((op2 (op2 (e21) (e23)) (op2 (e21) (e23))) = (e23))))) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> False).
% 51.19/51.41 do 0 intro. intros zenon_H1bb zenon_H17f zenon_H267.
% 51.19/51.41 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H1bf. zenon_intro zenon_H1be.
% 51.19/51.41 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H1c1. zenon_intro zenon_H1c0.
% 51.19/51.41 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_H1c3. zenon_intro zenon_H1c2.
% 51.19/51.41 elim (classic ((op2 (e22) (e22)) = (op2 (e22) (e22)))); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H1a1 ].
% 51.19/51.41 cut (((op2 (e22) (e22)) = (op2 (e22) (e22))) = ((op2 (e21) (e22)) = (op2 (e22) (e22)))).
% 51.19/51.41 intro zenon_D_pnotp.
% 51.19/51.41 apply zenon_H267.
% 51.19/51.41 rewrite <- zenon_D_pnotp.
% 51.19/51.41 exact zenon_H1a0.
% 51.19/51.41 cut (((op2 (e22) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H1a1].
% 51.19/51.41 cut (((op2 (e22) (e22)) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H268].
% 51.19/51.41 congruence.
% 51.19/51.41 cut (((op2 (op2 (e21) (e22)) (op2 (e21) (e22))) = (e22)) = ((op2 (e22) (e22)) = (op2 (e21) (e22)))).
% 51.19/51.41 intro zenon_D_pnotp.
% 51.19/51.41 apply zenon_H268.
% 51.19/51.41 rewrite <- zenon_D_pnotp.
% 51.19/51.41 exact zenon_H1c3.
% 51.19/51.41 cut (((e22) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H184].
% 51.19/51.41 cut (((op2 (op2 (e21) (e22)) (op2 (e21) (e22))) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H269].
% 51.19/51.41 congruence.
% 51.19/51.41 elim (classic ((op2 (e22) (e22)) = (op2 (e22) (e22)))); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H1a1 ].
% 51.19/51.41 cut (((op2 (e22) (e22)) = (op2 (e22) (e22))) = ((op2 (op2 (e21) (e22)) (op2 (e21) (e22))) = (op2 (e22) (e22)))).
% 51.19/51.41 intro zenon_D_pnotp.
% 51.19/51.41 apply zenon_H269.
% 51.19/51.41 rewrite <- zenon_D_pnotp.
% 51.19/51.41 exact zenon_H1a0.
% 51.19/51.41 cut (((op2 (e22) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H1a1].
% 51.19/51.41 cut (((op2 (e22) (e22)) = (op2 (op2 (e21) (e22)) (op2 (e21) (e22))))); [idtac | apply NNPP; zenon_intro zenon_H26a].
% 51.19/51.41 congruence.
% 51.19/51.41 cut (((e22) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H184].
% 51.19/51.41 cut (((e22) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H184].
% 51.19/51.41 congruence.
% 51.19/51.41 apply zenon_H184. apply sym_equal. exact zenon_H17f.
% 51.19/51.41 apply zenon_H184. apply sym_equal. exact zenon_H17f.
% 51.19/51.41 apply zenon_H1a1. apply refl_equal.
% 51.19/51.41 apply zenon_H1a1. apply refl_equal.
% 51.19/51.41 apply zenon_H184. apply sym_equal. exact zenon_H17f.
% 51.19/51.41 apply zenon_H1a1. apply refl_equal.
% 51.19/51.41 apply zenon_H1a1. apply refl_equal.
% 51.19/51.41 (* end of lemma zenon_L200_ *)
% 51.19/51.41 assert (zenon_L201_ : (((op2 (op2 (e23) (e20)) (op2 (e23) (e20))) = (e20))/\(((op2 (op2 (e23) (e21)) (op2 (e23) (e21))) = (e21))/\(((op2 (op2 (e23) (e22)) (op2 (e23) (e22))) = (e22))/\((op2 (op2 (e23) (e23)) (op2 (e23) (e23))) = (e23))))) -> ((op2 (e23) (e22)) = (e23)) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> False).
% 51.19/51.41 do 0 intro. intros zenon_H1d6 zenon_H21d zenon_H175 zenon_H195.
% 51.19/51.41 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1da. zenon_intro zenon_H1d9.
% 51.19/51.41 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1dc. zenon_intro zenon_H1db.
% 51.19/51.41 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1de. zenon_intro zenon_H1dd.
% 51.19/51.41 elim (classic ((op2 (e23) (e23)) = (op2 (e23) (e23)))); [ zenon_intro zenon_H196 | zenon_intro zenon_H197 ].
% 51.19/51.41 cut (((op2 (e23) (e23)) = (op2 (e23) (e23))) = ((op2 (e20) (e23)) = (op2 (e23) (e23)))).
% 51.19/51.41 intro zenon_D_pnotp.
% 51.19/51.41 apply zenon_H195.
% 51.19/51.41 rewrite <- zenon_D_pnotp.
% 51.19/51.41 exact zenon_H196.
% 51.19/51.41 cut (((op2 (e23) (e23)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H197].
% 51.19/51.41 cut (((op2 (e23) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H198].
% 51.19/51.41 congruence.
% 51.19/51.41 cut (((op2 (op2 (e23) (e22)) (op2 (e23) (e22))) = (e22)) = ((op2 (e23) (e23)) = (op2 (e20) (e23)))).
% 51.19/51.41 intro zenon_D_pnotp.
% 51.19/51.41 apply zenon_H198.
% 51.19/51.41 rewrite <- zenon_D_pnotp.
% 51.19/51.41 exact zenon_H1de.
% 51.19/51.41 cut (((e22) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H1e5].
% 51.19/51.41 cut (((op2 (op2 (e23) (e22)) (op2 (e23) (e22))) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H26b].
% 51.19/51.41 congruence.
% 51.19/51.41 elim (classic ((op2 (e23) (e23)) = (op2 (e23) (e23)))); [ zenon_intro zenon_H196 | zenon_intro zenon_H197 ].
% 51.19/51.41 cut (((op2 (e23) (e23)) = (op2 (e23) (e23))) = ((op2 (op2 (e23) (e22)) (op2 (e23) (e22))) = (op2 (e23) (e23)))).
% 51.19/51.41 intro zenon_D_pnotp.
% 51.19/51.41 apply zenon_H26b.
% 51.19/51.41 rewrite <- zenon_D_pnotp.
% 51.19/51.41 exact zenon_H196.
% 51.19/51.41 cut (((op2 (e23) (e23)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H197].
% 51.19/51.41 cut (((op2 (e23) (e23)) = (op2 (op2 (e23) (e22)) (op2 (e23) (e22))))); [idtac | apply NNPP; zenon_intro zenon_H26c].
% 51.19/51.41 congruence.
% 51.19/51.41 cut (((e23) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H21e].
% 51.19/51.41 cut (((e23) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H21e].
% 51.19/51.41 congruence.
% 51.19/51.41 apply zenon_H21e. apply sym_equal. exact zenon_H21d.
% 51.19/51.41 apply zenon_H21e. apply sym_equal. exact zenon_H21d.
% 51.19/51.41 apply zenon_H197. apply refl_equal.
% 51.19/51.41 apply zenon_H197. apply refl_equal.
% 51.19/51.41 apply zenon_H1e5. apply sym_equal. exact zenon_H175.
% 51.19/51.41 apply zenon_H197. apply refl_equal.
% 51.19/51.41 apply zenon_H197. apply refl_equal.
% 51.19/51.41 (* end of lemma zenon_L201_ *)
% 51.19/51.41 assert (zenon_L202_ : (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e22) (e23)) = (e23)) -> ((op2 (e23) (e22)) = (e23)) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> False).
% 51.19/51.41 do 0 intro. intros zenon_H1d7 zenon_H267 zenon_H17f zenon_H1ec zenon_H1e7 zenon_H21d zenon_H175 zenon_H195.
% 51.19/51.41 apply (zenon_or_s _ _ ax11); [ zenon_intro zenon_H1b0 | zenon_intro zenon_H1e2 ].
% 51.19/51.41 apply (zenon_L169_); trivial.
% 51.19/51.41 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H1bb | zenon_intro zenon_H1e3 ].
% 51.19/51.41 apply (zenon_L200_); trivial.
% 51.19/51.41 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H1cb | zenon_intro zenon_H1d6 ].
% 51.19/51.41 apply (zenon_L143_); trivial.
% 51.19/51.41 apply (zenon_L201_); trivial.
% 51.19/51.41 (* end of lemma zenon_L202_ *)
% 51.19/51.41 assert (zenon_L203_ : (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e22) = (e23))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e22) (e20)) = (e20)) -> (~((e20) = (e23))) -> (~((e20) = (e22))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e22)) -> ((op2 (e23) (e22)) = (e23)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((e21) = (e23))) -> ((e21) = (op2 (e23) (e23))) -> False).
% 51.19/51.41 do 0 intro. intros zenon_H1fa zenon_H1ac zenon_H210 zenon_H254 zenon_H266 zenon_H205 zenon_H16f zenon_H22f zenon_H195 zenon_H175 zenon_H21d zenon_H1ec zenon_H17f zenon_H267 zenon_H1d7 zenon_H1f7 zenon_H14e.
% 51.19/51.41 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H1ab | zenon_intro zenon_H1fb ].
% 51.19/51.41 apply (zenon_L132_); trivial.
% 51.19/51.41 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H1bc | zenon_intro zenon_H1fc ].
% 51.19/51.41 apply (zenon_L199_); trivial.
% 51.19/51.41 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H1f8 ].
% 51.19/51.41 apply (zenon_L202_); trivial.
% 51.19/51.41 apply (zenon_L149_); trivial.
% 51.19/51.41 (* end of lemma zenon_L203_ *)
% 51.19/51.41 assert (zenon_L204_ : (((op2 (op2 (e22) (e20)) (op2 (e22) (e20))) = (e20))/\(((op2 (op2 (e22) (e21)) (op2 (e22) (e21))) = (e21))/\(((op2 (op2 (e22) (e22)) (op2 (e22) (e22))) = (e22))/\((op2 (op2 (e22) (e23)) (op2 (e22) (e23))) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e22) (e20)) = (e21)) -> ((op2 (e23) (e21)) = (e20)) -> False).
% 51.19/51.41 do 0 intro. intros zenon_H1cb zenon_H26d zenon_H26e zenon_H203.
% 51.19/51.41 apply (zenon_and_s _ _ zenon_H1cb). zenon_intro zenon_H1cf. zenon_intro zenon_H1ce.
% 51.19/51.41 cut (((op2 (op2 (e22) (e20)) (op2 (e22) (e20))) = (e20)) = ((op2 (e21) (e21)) = (op2 (e23) (e21)))).
% 51.19/51.41 intro zenon_D_pnotp.
% 51.19/51.41 apply zenon_H26d.
% 51.19/51.41 rewrite <- zenon_D_pnotp.
% 51.19/51.41 exact zenon_H1cf.
% 51.19/51.41 cut (((e20) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H26f].
% 51.19/51.41 cut (((op2 (op2 (e22) (e20)) (op2 (e22) (e20))) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H270].
% 51.19/51.41 congruence.
% 51.19/51.41 elim (classic ((op2 (e21) (e21)) = (op2 (e21) (e21)))); [ zenon_intro zenon_H246 | zenon_intro zenon_H247 ].
% 51.19/51.41 cut (((op2 (e21) (e21)) = (op2 (e21) (e21))) = ((op2 (op2 (e22) (e20)) (op2 (e22) (e20))) = (op2 (e21) (e21)))).
% 51.19/51.41 intro zenon_D_pnotp.
% 51.19/51.41 apply zenon_H270.
% 51.19/51.41 rewrite <- zenon_D_pnotp.
% 51.19/51.41 exact zenon_H246.
% 51.19/51.41 cut (((op2 (e21) (e21)) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H247].
% 51.19/51.41 cut (((op2 (e21) (e21)) = (op2 (op2 (e22) (e20)) (op2 (e22) (e20))))); [idtac | apply NNPP; zenon_intro zenon_H271].
% 51.19/51.41 congruence.
% 51.19/51.41 cut (((e21) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H272].
% 51.19/51.41 cut (((e21) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H272].
% 51.19/51.41 congruence.
% 51.19/51.41 apply zenon_H272. apply sym_equal. exact zenon_H26e.
% 51.19/51.41 apply zenon_H272. apply sym_equal. exact zenon_H26e.
% 51.19/51.41 apply zenon_H247. apply refl_equal.
% 51.19/51.41 apply zenon_H247. apply refl_equal.
% 51.19/51.41 apply zenon_H26f. apply sym_equal. exact zenon_H203.
% 51.19/51.41 (* end of lemma zenon_L204_ *)
% 51.19/51.41 assert (zenon_L205_ : (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e23)) -> ((op2 (e23) (e21)) = (e20)) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e22)) = (e23)) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> False).
% 51.19/51.41 do 0 intro. intros zenon_H1d7 zenon_H1bd zenon_H1bc zenon_H203 zenon_H26e zenon_H26d zenon_H21d zenon_H175 zenon_H195.
% 51.19/51.41 apply (zenon_or_s _ _ ax11); [ zenon_intro zenon_H1b0 | zenon_intro zenon_H1e2 ].
% 51.19/51.41 apply (zenon_L169_); trivial.
% 51.19/51.41 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H1bb | zenon_intro zenon_H1e3 ].
% 51.19/51.41 apply (zenon_L134_); trivial.
% 51.19/51.41 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H1cb | zenon_intro zenon_H1d6 ].
% 51.19/51.41 apply (zenon_L204_); trivial.
% 51.19/51.41 apply (zenon_L201_); trivial.
% 51.19/51.41 (* end of lemma zenon_L205_ *)
% 51.19/51.41 assert (zenon_L206_ : (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e21) (e22)) = (e22)) -> ((op2 (e22) (e20)) = (e23)) -> ((op2 (e22) (e23)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e23) (e22)) = (e23)) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> False).
% 51.19/51.41 do 0 intro. intros zenon_H1d7 zenon_H267 zenon_H17f zenon_H252 zenon_H1c9 zenon_H1b1 zenon_H21d zenon_H175 zenon_H195.
% 51.19/51.41 apply (zenon_or_s _ _ ax11); [ zenon_intro zenon_H1b0 | zenon_intro zenon_H1e2 ].
% 51.19/51.41 apply (zenon_L169_); trivial.
% 51.19/51.41 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H1bb | zenon_intro zenon_H1e3 ].
% 51.19/51.41 apply (zenon_L200_); trivial.
% 51.19/51.41 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H1cb | zenon_intro zenon_H1d6 ].
% 51.19/51.41 apply (zenon_L185_); trivial.
% 51.19/51.41 apply (zenon_L201_); trivial.
% 51.19/51.41 (* end of lemma zenon_L206_ *)
% 51.19/51.41 assert (zenon_L207_ : (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> ((e21) = (op2 (e23) (e23))) -> (~((e21) = (e23))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e20) = (e22))) -> (~((e20) = (e23))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((e20) = (e21))) -> (~((e22) = (e23))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e21)) = (e20)) -> ((op2 (e21) (e23)) = (e23)) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e22) (e21)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e21) (e22)) = (e22)) -> ((op2 (e22) (e23)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e23) (e22)) = (e23)) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> False).
% 51.19/51.41 do 0 intro. intros zenon_H273 zenon_H14e zenon_H1f7 zenon_H1ec zenon_H22f zenon_H16f zenon_H205 zenon_H254 zenon_H210 zenon_H1ac zenon_H1fa zenon_H26d zenon_H203 zenon_H1bc zenon_H1bd zenon_H226 zenon_H225 zenon_H1d7 zenon_H267 zenon_H17f zenon_H1c9 zenon_H1b1 zenon_H21d zenon_H175 zenon_H195.
% 51.19/51.41 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H266 | zenon_intro zenon_H274 ].
% 51.19/51.41 apply (zenon_L203_); trivial.
% 51.19/51.41 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H26e | zenon_intro zenon_H275 ].
% 51.19/51.41 apply (zenon_L205_); trivial.
% 51.19/51.41 apply (zenon_or_s _ _ zenon_H275); [ zenon_intro zenon_H176 | zenon_intro zenon_H252 ].
% 51.19/51.41 apply (zenon_L161_); trivial.
% 51.19/51.41 apply (zenon_L206_); trivial.
% 51.19/51.41 (* end of lemma zenon_L207_ *)
% 51.19/51.41 assert (zenon_L208_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((op2 (e23) (e20)) = (e22)) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e20) = (e22))) -> (~((e20) = (e23))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((e20) = (e21))) -> (~((e22) = (e23))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e21)) = (e20)) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e22) (e21)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e22) (e23)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((e21) = (e23))) -> ((e21) = (op2 (e23) (e23))) -> False).
% 51.19/51.41 do 0 intro. intros zenon_H222 zenon_H21c zenon_H14 zenon_H209 zenon_H1fd zenon_H214 zenon_H1d7 zenon_H267 zenon_H17f zenon_H1ec zenon_H175 zenon_H195 zenon_H273 zenon_H22f zenon_H16f zenon_H205 zenon_H254 zenon_H210 zenon_H1ac zenon_H1fa zenon_H26d zenon_H203 zenon_H1bd zenon_H226 zenon_H225 zenon_H1c9 zenon_H1b1 zenon_H1f7 zenon_H14e.
% 51.19/51.41 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1cd | zenon_intro zenon_H223 ].
% 51.19/51.41 apply (zenon_L192_); trivial.
% 51.19/51.41 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H204 | zenon_intro zenon_H224 ].
% 51.19/51.41 apply (zenon_L155_); trivial.
% 51.19/51.41 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H21d | zenon_intro zenon_H1f8 ].
% 51.19/51.41 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H1ab | zenon_intro zenon_H1fb ].
% 51.19/51.41 apply (zenon_L132_); trivial.
% 51.19/51.41 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H1bc | zenon_intro zenon_H1fc ].
% 51.19/51.41 apply (zenon_L207_); trivial.
% 51.19/51.41 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H1f8 ].
% 51.19/51.41 apply (zenon_L202_); trivial.
% 51.19/51.41 apply (zenon_L149_); trivial.
% 51.19/51.41 apply (zenon_L149_); trivial.
% 51.19/51.41 (* end of lemma zenon_L208_ *)
% 51.19/51.41 assert (zenon_L209_ : ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((op2 (e21) (e20)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((e21) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e22) (e21)) = (e22)) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e21)) = (e20)) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e22) = (e23))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((e20) = (e23))) -> (~((e20) = (e22))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e23) (e20)) = (e22)) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((e21) = (op2 (e23) (e23))) -> (~((e20) = (e21))) -> False).
% 51.19/51.41 do 0 intro. intros zenon_H15e zenon_H18e zenon_H187 zenon_H19b zenon_H16d zenon_H1a7 zenon_H1f7 zenon_H1b1 zenon_H225 zenon_H226 zenon_H1bd zenon_H203 zenon_H26d zenon_H1fa zenon_H1ac zenon_H254 zenon_H205 zenon_H16f zenon_H22f zenon_H273 zenon_H195 zenon_H175 zenon_H1ec zenon_H17f zenon_H267 zenon_H1d7 zenon_H214 zenon_H1fd zenon_H209 zenon_H14 zenon_H21c zenon_H222 zenon_H14e zenon_H210.
% 51.19/51.41 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H235 ].
% 51.19/51.41 apply (zenon_L183_); trivial.
% 51.19/51.41 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H1a8 | zenon_intro zenon_H236 ].
% 51.19/51.41 apply (zenon_L130_); trivial.
% 51.19/51.41 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1c9 | zenon_intro zenon_H20f ].
% 51.19/51.41 apply (zenon_L208_); trivial.
% 51.19/51.41 apply (zenon_L154_); trivial.
% 51.19/51.41 (* end of lemma zenon_L209_ *)
% 51.19/51.41 assert (zenon_L210_ : (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e23)) -> ((op2 (e22) (e20)) = (e23)) -> ((op2 (e22) (e23)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e23) (e22)) = (e23)) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> False).
% 51.19/51.41 do 0 intro. intros zenon_H1d7 zenon_H1bd zenon_H1bc zenon_H252 zenon_H1c9 zenon_H1b1 zenon_H21d zenon_H175 zenon_H195.
% 51.19/51.41 apply (zenon_or_s _ _ ax11); [ zenon_intro zenon_H1b0 | zenon_intro zenon_H1e2 ].
% 51.19/51.41 apply (zenon_L169_); trivial.
% 51.19/51.41 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H1bb | zenon_intro zenon_H1e3 ].
% 51.19/51.41 apply (zenon_L134_); trivial.
% 51.19/51.41 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H1cb | zenon_intro zenon_H1d6 ].
% 51.19/51.41 apply (zenon_L185_); trivial.
% 51.19/51.41 apply (zenon_L201_); trivial.
% 51.19/51.41 (* end of lemma zenon_L210_ *)
% 51.19/51.41 assert (zenon_L211_ : (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((e20) = (e21))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((e20) = (e23))) -> (~((e20) = (e22))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e21)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e22) (e22)) = (e22)) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e23)) -> ((op2 (e22) (e23)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e23) (e22)) = (e23)) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> False).
% 51.19/51.41 do 0 intro. intros zenon_H273 zenon_H210 zenon_H14e zenon_H254 zenon_H205 zenon_H16f zenon_H22f zenon_H26d zenon_H203 zenon_H19f zenon_H14 zenon_H19e zenon_H15e zenon_H1d7 zenon_H1bd zenon_H1bc zenon_H1c9 zenon_H1b1 zenon_H21d zenon_H175 zenon_H195.
% 51.19/51.41 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H266 | zenon_intro zenon_H274 ].
% 51.19/51.41 apply (zenon_L199_); trivial.
% 51.19/51.41 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H26e | zenon_intro zenon_H275 ].
% 51.19/51.41 apply (zenon_L205_); trivial.
% 51.19/51.41 apply (zenon_or_s _ _ zenon_H275); [ zenon_intro zenon_H176 | zenon_intro zenon_H252 ].
% 51.19/51.41 apply (zenon_L128_); trivial.
% 51.19/51.41 apply (zenon_L210_); trivial.
% 51.19/51.41 (* end of lemma zenon_L211_ *)
% 51.19/51.41 assert (zenon_L212_ : (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e22)) -> ((op2 (e23) (e22)) = (e23)) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e21) (e23)) = (e23)) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((op2 (e22) (e22)) = (e22)) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (e23) (e21)) = (e20)) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e20) = (e22))) -> (~((e20) = (e23))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> ((e21) = (op2 (e23) (e23))) -> (~((e20) = (e21))) -> False).
% 51.19/51.41 do 0 intro. intros zenon_H18e zenon_H187 zenon_H19b zenon_H195 zenon_H175 zenon_H21d zenon_H1b1 zenon_H1bc zenon_H1bd zenon_H1d7 zenon_H15e zenon_H19e zenon_H14 zenon_H19f zenon_H203 zenon_H26d zenon_H22f zenon_H16f zenon_H205 zenon_H254 zenon_H273 zenon_H14e zenon_H210.
% 51.19/51.41 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H235 ].
% 51.19/51.41 apply (zenon_L183_); trivial.
% 51.19/51.41 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H1a8 | zenon_intro zenon_H236 ].
% 51.19/51.41 apply (zenon_L184_); trivial.
% 51.19/51.41 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1c9 | zenon_intro zenon_H20f ].
% 51.19/51.41 apply (zenon_L211_); trivial.
% 51.19/51.41 apply (zenon_L154_); trivial.
% 51.19/51.41 (* end of lemma zenon_L212_ *)
% 51.19/51.41 assert (zenon_L213_ : (~((op2 (e23) (op2 (e23) (e23))) = (op2 (e21) (e22)))) -> ((op2 (e23) (e21)) = (e20)) -> ((e21) = (op2 (e23) (e23))) -> ((op2 (e21) (e22)) = (e20)) -> False).
% 51.19/51.41 do 0 intro. intros zenon_H276 zenon_H203 zenon_H14e zenon_H277.
% 51.19/51.41 cut (((op2 (e23) (e21)) = (e20)) = ((op2 (e23) (op2 (e23) (e23))) = (op2 (e21) (e22)))).
% 51.19/51.41 intro zenon_D_pnotp.
% 51.19/51.41 apply zenon_H276.
% 51.19/51.41 rewrite <- zenon_D_pnotp.
% 51.19/51.41 exact zenon_H203.
% 51.19/51.41 cut (((e20) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H278].
% 51.19/51.41 cut (((op2 (e23) (e21)) = (op2 (e23) (op2 (e23) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H279].
% 51.19/51.41 congruence.
% 51.19/51.41 elim (classic ((op2 (e23) (op2 (e23) (e23))) = (op2 (e23) (op2 (e23) (e23))))); [ zenon_intro zenon_H27a | zenon_intro zenon_H27b ].
% 51.19/51.41 cut (((op2 (e23) (op2 (e23) (e23))) = (op2 (e23) (op2 (e23) (e23)))) = ((op2 (e23) (e21)) = (op2 (e23) (op2 (e23) (e23))))).
% 51.19/51.41 intro zenon_D_pnotp.
% 51.19/51.41 apply zenon_H279.
% 51.19/51.41 rewrite <- zenon_D_pnotp.
% 51.19/51.41 exact zenon_H27a.
% 51.19/51.41 cut (((op2 (e23) (op2 (e23) (e23))) = (op2 (e23) (op2 (e23) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H27b].
% 51.19/51.41 cut (((op2 (e23) (op2 (e23) (e23))) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H14d].
% 51.19/51.41 congruence.
% 51.19/51.41 apply (zenon_L112_); trivial.
% 51.19/51.41 apply zenon_H27b. apply refl_equal.
% 51.19/51.41 apply zenon_H27b. apply refl_equal.
% 51.19/51.41 apply zenon_H278. apply sym_equal. exact zenon_H277.
% 51.19/51.41 (* end of lemma zenon_L213_ *)
% 51.19/51.41 assert (zenon_L214_ : ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e20)) -> ((op2 (e23) (e21)) = (e20)) -> ((op2 (e21) (e22)) = (e20)) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> False).
% 51.19/51.41 do 0 intro. intros zenon_H14 zenon_H1a8 zenon_H203 zenon_H277 zenon_H14e zenon_H27c.
% 51.19/51.41 elim (classic ((op2 (e21) (e23)) = (op2 (e21) (e23)))); [ zenon_intro zenon_H188 | zenon_intro zenon_H189 ].
% 51.19/51.41 cut (((op2 (e21) (e23)) = (op2 (e21) (e23))) = ((op2 (e21) (e22)) = (op2 (e21) (e23)))).
% 51.19/51.41 intro zenon_D_pnotp.
% 51.19/51.41 apply zenon_H27c.
% 51.19/51.41 rewrite <- zenon_D_pnotp.
% 51.19/51.41 exact zenon_H188.
% 51.19/51.41 cut (((op2 (e21) (e23)) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H189].
% 51.19/51.41 cut (((op2 (e21) (e23)) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H27d].
% 51.19/51.41 congruence.
% 51.19/51.41 cut (((e20) = (op2 (e23) (op2 (e23) (e23)))) = ((op2 (e21) (e23)) = (op2 (e21) (e22)))).
% 51.19/51.41 intro zenon_D_pnotp.
% 51.19/51.41 apply zenon_H27d.
% 51.19/51.41 rewrite <- zenon_D_pnotp.
% 51.19/51.41 exact zenon_H14.
% 51.19/51.41 cut (((op2 (e23) (op2 (e23) (e23))) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H276].
% 51.19/51.41 cut (((e20) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H1a9].
% 51.19/51.41 congruence.
% 51.19/51.41 elim (classic ((op2 (e21) (e23)) = (op2 (e21) (e23)))); [ zenon_intro zenon_H188 | zenon_intro zenon_H189 ].
% 51.19/51.41 cut (((op2 (e21) (e23)) = (op2 (e21) (e23))) = ((e20) = (op2 (e21) (e23)))).
% 51.19/51.41 intro zenon_D_pnotp.
% 51.19/51.41 apply zenon_H1a9.
% 51.19/51.41 rewrite <- zenon_D_pnotp.
% 51.19/51.41 exact zenon_H188.
% 51.19/51.41 cut (((op2 (e21) (e23)) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H189].
% 51.19/51.41 cut (((op2 (e21) (e23)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H27e].
% 51.19/51.41 congruence.
% 51.19/51.41 exact (zenon_H27e zenon_H1a8).
% 51.19/51.41 apply zenon_H189. apply refl_equal.
% 51.19/51.41 apply zenon_H189. apply refl_equal.
% 51.19/51.41 apply (zenon_L213_); trivial.
% 51.19/51.41 apply zenon_H189. apply refl_equal.
% 51.19/51.41 apply zenon_H189. apply refl_equal.
% 51.19/51.41 (* end of lemma zenon_L214_ *)
% 51.19/51.41 assert (zenon_L215_ : (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((op2 (e21) (e20)) = (e21)) -> ((op2 (e21) (e22)) = (e21)) -> False).
% 51.19/51.41 do 0 intro. intros zenon_H27f zenon_H280 zenon_H281.
% 51.19/51.41 cut (((op2 (e21) (e20)) = (e21)) = ((op2 (e21) (e20)) = (op2 (e21) (e22)))).
% 51.19/51.41 intro zenon_D_pnotp.
% 51.19/51.41 apply zenon_H27f.
% 51.19/51.41 rewrite <- zenon_D_pnotp.
% 51.19/51.41 exact zenon_H280.
% 51.19/51.41 cut (((e21) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H282].
% 51.19/51.41 cut (((op2 (e21) (e20)) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1aa].
% 51.19/51.41 congruence.
% 51.19/51.41 apply zenon_H1aa. apply refl_equal.
% 51.19/51.41 apply zenon_H282. apply sym_equal. exact zenon_H281.
% 51.19/51.41 (* end of lemma zenon_L215_ *)
% 51.19/51.41 assert (zenon_L216_ : (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e21) (e22)) = (e23)) -> ((op2 (e23) (e22)) = (e23)) -> False).
% 51.19/51.41 do 0 intro. intros zenon_H283 zenon_H284 zenon_H21d.
% 51.19/51.41 cut (((op2 (e21) (e22)) = (e23)) = ((op2 (e21) (e22)) = (op2 (e23) (e22)))).
% 51.19/51.41 intro zenon_D_pnotp.
% 51.19/51.41 apply zenon_H283.
% 51.19/51.41 rewrite <- zenon_D_pnotp.
% 51.19/51.41 exact zenon_H284.
% 51.19/51.41 cut (((e23) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H21e].
% 51.19/51.41 cut (((op2 (e21) (e22)) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H182].
% 51.19/51.41 congruence.
% 51.19/51.41 apply zenon_H182. apply refl_equal.
% 51.19/51.41 apply zenon_H21e. apply sym_equal. exact zenon_H21d.
% 51.19/51.41 (* end of lemma zenon_L216_ *)
% 51.19/51.41 assert (zenon_L217_ : (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((e20) = (e21))) -> ((e21) = (op2 (e23) (e23))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((e20) = (e23))) -> (~((e20) = (e22))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e21)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e22) (e22)) = (e22)) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e22)) -> ((op2 (e22) (e23)) = (e23)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e22)) = (e23)) -> False).
% 51.19/51.41 do 0 intro. intros zenon_H285 zenon_H210 zenon_H14e zenon_H273 zenon_H254 zenon_H205 zenon_H16f zenon_H22f zenon_H26d zenon_H203 zenon_H19f zenon_H14 zenon_H19e zenon_H15e zenon_H1bd zenon_H1b1 zenon_H19b zenon_H187 zenon_H18e zenon_H27c zenon_H1f3 zenon_H280 zenon_H27f zenon_H195 zenon_H175 zenon_H1e7 zenon_H1ec zenon_H267 zenon_H1d7 zenon_H283 zenon_H21d.
% 51.19/51.41 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H277 | zenon_intro zenon_H286 ].
% 51.19/51.41 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H1a8 | zenon_intro zenon_H1f4 ].
% 51.19/51.41 apply (zenon_L214_); trivial.
% 51.19/51.41 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H1f0 | zenon_intro zenon_H1f5 ].
% 51.19/51.41 apply (zenon_L145_); trivial.
% 51.19/51.41 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H186 | zenon_intro zenon_H1bc ].
% 51.19/51.41 apply (zenon_L124_); trivial.
% 51.19/51.41 apply (zenon_L212_); trivial.
% 51.19/51.41 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H281 | zenon_intro zenon_H287 ].
% 51.19/51.41 apply (zenon_L215_); trivial.
% 51.19/51.41 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H17f | zenon_intro zenon_H284 ].
% 51.19/51.41 apply (zenon_L202_); trivial.
% 51.19/51.41 apply (zenon_L216_); trivial.
% 51.19/51.41 (* end of lemma zenon_L217_ *)
% 51.19/51.41 assert (zenon_L218_ : (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e22) = (e23))) -> ((op2 (e23) (e22)) = (e23)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((op2 (e21) (e20)) = (e21)) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((op2 (e22) (e22)) = (e22)) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (e23) (e21)) = (e20)) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e20) = (e22))) -> (~((e20) = (e23))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((e20) = (e21))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((e21) = (e23))) -> ((e21) = (op2 (e23) (e23))) -> False).
% 51.19/51.41 do 0 intro. intros zenon_H1fa zenon_H1ac zenon_H21d zenon_H283 zenon_H1d7 zenon_H267 zenon_H1ec zenon_H175 zenon_H195 zenon_H27f zenon_H280 zenon_H1f3 zenon_H27c zenon_H18e zenon_H187 zenon_H19b zenon_H1b1 zenon_H1bd zenon_H15e zenon_H19e zenon_H14 zenon_H19f zenon_H203 zenon_H26d zenon_H22f zenon_H16f zenon_H205 zenon_H254 zenon_H273 zenon_H210 zenon_H285 zenon_H1f7 zenon_H14e.
% 51.19/51.41 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H1ab | zenon_intro zenon_H1fb ].
% 51.19/51.41 apply (zenon_L194_); trivial.
% 51.19/51.41 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H1bc | zenon_intro zenon_H1fc ].
% 51.19/51.41 apply (zenon_L212_); trivial.
% 51.19/51.41 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H1f8 ].
% 51.19/51.41 apply (zenon_L217_); trivial.
% 51.19/51.41 apply (zenon_L149_); trivial.
% 51.19/51.41 (* end of lemma zenon_L218_ *)
% 51.19/51.41 assert (zenon_L219_ : (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((e21) = (e23))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((e20) = (e23))) -> (~((e20) = (e22))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e22)) = (e22)) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e22)) = (e23)) -> (~((e22) = (e23))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (~((e20) = (e21))) -> False).
% 51.19/51.42 do 0 intro. intros zenon_H214 zenon_H1fd zenon_H1f7 zenon_H285 zenon_H273 zenon_H254 zenon_H205 zenon_H16f zenon_H22f zenon_H26d zenon_H19f zenon_H19e zenon_H15e zenon_H1bd zenon_H1b1 zenon_H19b zenon_H187 zenon_H18e zenon_H27c zenon_H1f3 zenon_H280 zenon_H27f zenon_H195 zenon_H175 zenon_H1ec zenon_H267 zenon_H1d7 zenon_H283 zenon_H21d zenon_H1ac zenon_H1fa zenon_H209 zenon_H14 zenon_H14e zenon_H210.
% 51.19/51.42 apply (zenon_or_s _ _ zenon_H214); [ zenon_intro zenon_H1fe | zenon_intro zenon_H215 ].
% 51.19/51.42 apply (zenon_L151_); trivial.
% 51.19/51.42 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H203 | zenon_intro zenon_H216 ].
% 51.19/51.42 apply (zenon_L218_); trivial.
% 51.19/51.42 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H208 | zenon_intro zenon_H20f ].
% 51.19/51.42 apply (zenon_L153_); trivial.
% 51.19/51.42 apply (zenon_L154_); trivial.
% 51.19/51.42 (* end of lemma zenon_L219_ *)
% 51.19/51.42 assert (zenon_L220_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((op2 (e23) (e20)) = (e22)) -> (~((e20) = (e21))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e22) = (e23))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((op2 (e21) (e20)) = (e21)) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((op2 (e22) (e22)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e20) = (e22))) -> (~((e20) = (e23))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e21) = (e23))) -> ((e21) = (op2 (e23) (e23))) -> False).
% 51.19/51.42 do 0 intro. intros zenon_H222 zenon_H21c zenon_H210 zenon_H14 zenon_H209 zenon_H1fa zenon_H1ac zenon_H283 zenon_H1d7 zenon_H267 zenon_H1ec zenon_H175 zenon_H195 zenon_H27f zenon_H280 zenon_H1f3 zenon_H27c zenon_H18e zenon_H187 zenon_H19b zenon_H1b1 zenon_H1bd zenon_H15e zenon_H19e zenon_H19f zenon_H26d zenon_H22f zenon_H16f zenon_H205 zenon_H254 zenon_H273 zenon_H285 zenon_H1fd zenon_H214 zenon_H1f7 zenon_H14e.
% 51.19/51.42 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1cd | zenon_intro zenon_H223 ].
% 51.19/51.42 apply (zenon_L192_); trivial.
% 51.19/51.42 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H204 | zenon_intro zenon_H224 ].
% 51.19/51.42 apply (zenon_L155_); trivial.
% 51.19/51.42 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H21d | zenon_intro zenon_H1f8 ].
% 51.19/51.42 apply (zenon_L219_); trivial.
% 51.19/51.42 apply (zenon_L149_); trivial.
% 51.19/51.42 (* end of lemma zenon_L220_ *)
% 51.19/51.42 assert (zenon_L221_ : (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> ((op2 (e23) (e21)) = (e20)) -> ((op2 (e22) (e21)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> ((op2 (e21) (e20)) = (e20)) -> ((e21) = (op2 (e23) (e23))) -> (~((e21) = (e23))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((e20) = (e23))) -> (~((e20) = (e22))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((e22) = (e23))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> (~((e20) = (e21))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e20)) = (e22)) -> False).
% 51.19/51.42 do 0 intro. intros zenon_H230 zenon_H168 zenon_H203 zenon_H226 zenon_H225 zenon_H1a7 zenon_H16d zenon_H14e zenon_H1f7 zenon_H214 zenon_H1fd zenon_H285 zenon_H273 zenon_H254 zenon_H205 zenon_H16f zenon_H22f zenon_H26d zenon_H19f zenon_H15e zenon_H1bd zenon_H1b1 zenon_H19b zenon_H187 zenon_H18e zenon_H27c zenon_H1f3 zenon_H280 zenon_H27f zenon_H195 zenon_H175 zenon_H1ec zenon_H267 zenon_H1d7 zenon_H283 zenon_H1ac zenon_H1fa zenon_H209 zenon_H14 zenon_H210 zenon_H222 zenon_H21b zenon_H21c.
% 51.19/51.42 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H169 | zenon_intro zenon_H233 ].
% 51.19/51.42 apply (zenon_L118_); trivial.
% 51.19/51.42 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H17f | zenon_intro zenon_H234 ].
% 51.19/51.42 apply (zenon_L209_); trivial.
% 51.19/51.42 apply (zenon_or_s _ _ zenon_H234); [ zenon_intro zenon_H19e | zenon_intro zenon_H1d8 ].
% 51.19/51.42 apply (zenon_L220_); trivial.
% 51.19/51.42 apply (zenon_L157_); trivial.
% 51.19/51.42 (* end of lemma zenon_L221_ *)
% 51.19/51.42 assert (zenon_L222_ : ((op2 (e23) (e20)) = (e22)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e22) = (e23))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((op2 (e21) (e20)) = (e21)) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e20) = (e22))) -> (~((e20) = (e23))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e21) = (e23))) -> ((op2 (e21) (e20)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e22) (e21)) = (e22)) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (~((e20) = (e21))) -> False).
% 51.19/51.42 do 0 intro. intros zenon_H21c zenon_H21b zenon_H222 zenon_H1fa zenon_H1ac zenon_H283 zenon_H1d7 zenon_H267 zenon_H1ec zenon_H175 zenon_H195 zenon_H27f zenon_H280 zenon_H1f3 zenon_H27c zenon_H18e zenon_H187 zenon_H19b zenon_H1b1 zenon_H1bd zenon_H15e zenon_H19f zenon_H26d zenon_H22f zenon_H16f zenon_H205 zenon_H254 zenon_H273 zenon_H285 zenon_H1fd zenon_H214 zenon_H1f7 zenon_H16d zenon_H1a7 zenon_H225 zenon_H226 zenon_H168 zenon_H230 zenon_H209 zenon_H14 zenon_H14e zenon_H210.
% 51.19/51.42 apply (zenon_or_s _ _ zenon_H214); [ zenon_intro zenon_H1fe | zenon_intro zenon_H215 ].
% 51.19/51.42 apply (zenon_L151_); trivial.
% 51.19/51.42 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H203 | zenon_intro zenon_H216 ].
% 51.19/51.42 apply (zenon_L221_); trivial.
% 51.19/51.42 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H208 | zenon_intro zenon_H20f ].
% 51.19/51.42 apply (zenon_L153_); trivial.
% 51.19/51.42 apply (zenon_L154_); trivial.
% 51.19/51.42 (* end of lemma zenon_L222_ *)
% 51.19/51.42 assert (zenon_L223_ : ((op2 (e22) (e20)) = (e21)) -> ((op2 (e22) (e20)) = (e22)) -> (~((e21) = (e22))) -> False).
% 51.19/51.42 do 0 intro. intros zenon_H26e zenon_H176 zenon_H288.
% 51.19/51.42 elim (classic ((e22) = (e22))); [ zenon_intro zenon_H170 | zenon_intro zenon_H171 ].
% 51.19/51.42 cut (((e22) = (e22)) = ((e21) = (e22))).
% 51.19/51.42 intro zenon_D_pnotp.
% 51.19/51.42 apply zenon_H288.
% 51.19/51.42 rewrite <- zenon_D_pnotp.
% 51.19/51.42 exact zenon_H170.
% 51.19/51.42 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H171].
% 51.19/51.42 cut (((e22) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H289].
% 51.19/51.42 congruence.
% 51.19/51.42 cut (((op2 (e22) (e20)) = (e21)) = ((e22) = (e21))).
% 51.19/51.42 intro zenon_D_pnotp.
% 51.19/51.42 apply zenon_H289.
% 51.19/51.42 rewrite <- zenon_D_pnotp.
% 51.19/51.42 exact zenon_H26e.
% 51.19/51.42 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H1f6].
% 51.19/51.42 cut (((op2 (e22) (e20)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H28a].
% 51.19/51.42 congruence.
% 51.19/51.42 exact (zenon_H28a zenon_H176).
% 51.19/51.42 apply zenon_H1f6. apply refl_equal.
% 51.19/51.42 apply zenon_H171. apply refl_equal.
% 51.19/51.42 apply zenon_H171. apply refl_equal.
% 51.19/51.42 (* end of lemma zenon_L223_ *)
% 51.19/51.42 assert (zenon_L224_ : (~((op2 (e23) (op2 (e23) (e23))) = (op2 (e22) (e23)))) -> ((op2 (e23) (e21)) = (e20)) -> ((e21) = (op2 (e23) (e23))) -> ((op2 (e22) (e23)) = (e20)) -> False).
% 51.19/51.42 do 0 intro. intros zenon_H28b zenon_H203 zenon_H14e zenon_H1c9.
% 51.19/51.42 cut (((op2 (e23) (e21)) = (e20)) = ((op2 (e23) (op2 (e23) (e23))) = (op2 (e22) (e23)))).
% 51.19/51.42 intro zenon_D_pnotp.
% 51.19/51.42 apply zenon_H28b.
% 51.19/51.42 rewrite <- zenon_D_pnotp.
% 51.19/51.42 exact zenon_H203.
% 51.19/51.42 cut (((e20) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H1ca].
% 51.19/51.42 cut (((op2 (e23) (e21)) = (op2 (e23) (op2 (e23) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H279].
% 51.19/51.42 congruence.
% 51.19/51.42 elim (classic ((op2 (e23) (op2 (e23) (e23))) = (op2 (e23) (op2 (e23) (e23))))); [ zenon_intro zenon_H27a | zenon_intro zenon_H27b ].
% 51.19/51.42 cut (((op2 (e23) (op2 (e23) (e23))) = (op2 (e23) (op2 (e23) (e23)))) = ((op2 (e23) (e21)) = (op2 (e23) (op2 (e23) (e23))))).
% 51.19/51.42 intro zenon_D_pnotp.
% 51.19/51.42 apply zenon_H279.
% 51.19/51.42 rewrite <- zenon_D_pnotp.
% 51.19/51.42 exact zenon_H27a.
% 51.19/51.42 cut (((op2 (e23) (op2 (e23) (e23))) = (op2 (e23) (op2 (e23) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H27b].
% 51.19/51.42 cut (((op2 (e23) (op2 (e23) (e23))) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H14d].
% 51.19/51.42 congruence.
% 51.19/51.42 apply (zenon_L112_); trivial.
% 51.19/51.42 apply zenon_H27b. apply refl_equal.
% 51.19/51.42 apply zenon_H27b. apply refl_equal.
% 51.19/51.42 apply zenon_H1ca. apply sym_equal. exact zenon_H1c9.
% 51.19/51.42 (* end of lemma zenon_L224_ *)
% 51.19/51.42 assert (zenon_L225_ : (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e20)) -> ((op2 (e23) (e21)) = (e20)) -> ((op2 (e22) (e23)) = (e20)) -> ((e21) = (op2 (e23) (e23))) -> False).
% 51.19/51.42 do 0 intro. intros zenon_H28c zenon_H14 zenon_H1a8 zenon_H203 zenon_H1c9 zenon_H14e.
% 51.19/51.42 cut (((e20) = (op2 (e23) (op2 (e23) (e23)))) = ((op2 (e21) (e23)) = (op2 (e22) (e23)))).
% 51.19/51.42 intro zenon_D_pnotp.
% 51.19/51.42 apply zenon_H28c.
% 51.19/51.42 rewrite <- zenon_D_pnotp.
% 51.19/51.42 exact zenon_H14.
% 51.19/51.42 cut (((op2 (e23) (op2 (e23) (e23))) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H28b].
% 51.19/51.42 cut (((e20) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H1a9].
% 51.19/51.42 congruence.
% 51.19/51.42 elim (classic ((op2 (e21) (e23)) = (op2 (e21) (e23)))); [ zenon_intro zenon_H188 | zenon_intro zenon_H189 ].
% 51.19/51.42 cut (((op2 (e21) (e23)) = (op2 (e21) (e23))) = ((e20) = (op2 (e21) (e23)))).
% 51.19/51.42 intro zenon_D_pnotp.
% 51.19/51.42 apply zenon_H1a9.
% 51.19/51.42 rewrite <- zenon_D_pnotp.
% 51.19/51.42 exact zenon_H188.
% 51.19/51.42 cut (((op2 (e21) (e23)) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H189].
% 51.19/51.42 cut (((op2 (e21) (e23)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H27e].
% 51.19/51.42 congruence.
% 51.19/51.42 exact (zenon_H27e zenon_H1a8).
% 51.19/51.42 apply zenon_H189. apply refl_equal.
% 51.19/51.42 apply zenon_H189. apply refl_equal.
% 51.19/51.42 apply (zenon_L224_); trivial.
% 51.19/51.42 (* end of lemma zenon_L225_ *)
% 51.19/51.42 assert (zenon_L226_ : ((op2 (e22) (e23)) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e23)) -> ((op2 (e23) (e21)) = (e20)) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e22)) = (e23)) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> False).
% 51.19/51.42 do 0 intro. intros zenon_H1e7 zenon_H1e6 zenon_H1bd zenon_H1bc zenon_H203 zenon_H26e zenon_H26d zenon_H21d zenon_H175 zenon_H195.
% 51.19/51.42 apply (zenon_or_s _ _ ax11); [ zenon_intro zenon_H1b0 | zenon_intro zenon_H1e2 ].
% 51.19/51.42 apply (zenon_L140_); trivial.
% 51.19/51.42 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H1bb | zenon_intro zenon_H1e3 ].
% 51.19/51.42 apply (zenon_L134_); trivial.
% 51.19/51.42 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H1cb | zenon_intro zenon_H1d6 ].
% 51.19/51.42 apply (zenon_L204_); trivial.
% 51.19/51.42 apply (zenon_L201_); trivial.
% 51.19/51.42 (* end of lemma zenon_L226_ *)
% 51.19/51.42 assert (zenon_L227_ : (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> ((op2 (e22) (e23)) = (e20)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((op2 (e22) (e23)) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e21)) = (e20)) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e22)) = (e23)) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> False).
% 51.19/51.42 do 0 intro. intros zenon_H1f3 zenon_H1c9 zenon_H28c zenon_H14e zenon_H187 zenon_H14 zenon_H15e zenon_H1e7 zenon_H1e6 zenon_H1bd zenon_H203 zenon_H26e zenon_H26d zenon_H21d zenon_H175 zenon_H195.
% 51.19/51.42 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H1a8 | zenon_intro zenon_H1f4 ].
% 51.19/51.42 apply (zenon_L225_); trivial.
% 51.19/51.42 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H1f0 | zenon_intro zenon_H1f5 ].
% 51.19/51.42 apply (zenon_L145_); trivial.
% 51.19/51.42 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H186 | zenon_intro zenon_H1bc ].
% 51.19/51.42 apply (zenon_L124_); trivial.
% 51.19/51.42 apply (zenon_L226_); trivial.
% 51.19/51.42 (* end of lemma zenon_L227_ *)
% 51.19/51.42 assert (zenon_L228_ : (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e22) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e22)) -> ((op2 (e23) (e22)) = (e23)) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e22) (e20)) = (e21)) -> ((op2 (e23) (e21)) = (e20)) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e22) (e23)) = (e20)) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((e21) = (e23))) -> ((e21) = (op2 (e23) (e23))) -> False).
% 51.19/51.42 do 0 intro. intros zenon_H1fa zenon_H1ac zenon_H1d7 zenon_H195 zenon_H175 zenon_H21d zenon_H26d zenon_H26e zenon_H203 zenon_H1bd zenon_H1e6 zenon_H15e zenon_H14 zenon_H187 zenon_H28c zenon_H1c9 zenon_H1f3 zenon_H1f7 zenon_H14e.
% 51.19/51.42 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H1ab | zenon_intro zenon_H1fb ].
% 51.19/51.42 apply (zenon_L132_); trivial.
% 51.19/51.42 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H1bc | zenon_intro zenon_H1fc ].
% 51.19/51.42 apply (zenon_L205_); trivial.
% 51.19/51.42 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H1f8 ].
% 51.19/51.42 apply (zenon_L227_); trivial.
% 51.19/51.42 apply (zenon_L149_); trivial.
% 51.19/51.42 (* end of lemma zenon_L228_ *)
% 51.19/51.42 assert (zenon_L229_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((op2 (e23) (e20)) = (e22)) -> (~((e20) = (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((e20) = (e23))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> ((op2 (e22) (e23)) = (e20)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e21)) = (e20)) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((e22) = (e23))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e21) = (e23))) -> ((e21) = (op2 (e23) (e23))) -> False).
% 51.19/51.42 do 0 intro. intros zenon_H222 zenon_H21c zenon_H210 zenon_H209 zenon_H205 zenon_H1fd zenon_H214 zenon_H1f3 zenon_H1c9 zenon_H28c zenon_H187 zenon_H14 zenon_H15e zenon_H1e6 zenon_H1bd zenon_H203 zenon_H26e zenon_H26d zenon_H175 zenon_H195 zenon_H1d7 zenon_H1ac zenon_H1fa zenon_H1f7 zenon_H14e.
% 51.19/51.42 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1cd | zenon_intro zenon_H223 ].
% 51.19/51.42 apply (zenon_L192_); trivial.
% 51.19/51.42 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H204 | zenon_intro zenon_H224 ].
% 51.19/51.42 apply (zenon_L155_); trivial.
% 51.19/51.42 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H21d | zenon_intro zenon_H1f8 ].
% 51.19/51.42 apply (zenon_L228_); trivial.
% 51.19/51.42 apply (zenon_L149_); trivial.
% 51.19/51.42 (* end of lemma zenon_L229_ *)
% 51.19/51.42 assert (zenon_L230_ : (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e20) = (e22))) -> ((op2 (e21) (e20)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((e21) = (e23))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e22) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e22) (e20)) = (e21)) -> ((op2 (e23) (e21)) = (e20)) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((e20) = (e23))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e20)) = (e22)) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((e21) = (op2 (e23) (e23))) -> (~((e20) = (e21))) -> False).
% 51.19/51.42 do 0 intro. intros zenon_H22f zenon_H16f zenon_H16d zenon_H1a7 zenon_H1f7 zenon_H1fa zenon_H1ac zenon_H1d7 zenon_H195 zenon_H175 zenon_H26d zenon_H26e zenon_H203 zenon_H1bd zenon_H1e6 zenon_H15e zenon_H14 zenon_H187 zenon_H28c zenon_H1f3 zenon_H214 zenon_H1fd zenon_H205 zenon_H209 zenon_H21c zenon_H222 zenon_H14e zenon_H210.
% 51.19/51.42 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H235 ].
% 51.19/51.42 apply (zenon_L129_); trivial.
% 51.19/51.42 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H1a8 | zenon_intro zenon_H236 ].
% 51.19/51.42 apply (zenon_L130_); trivial.
% 51.19/51.42 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1c9 | zenon_intro zenon_H20f ].
% 51.19/51.42 apply (zenon_L229_); trivial.
% 51.19/51.42 apply (zenon_L154_); trivial.
% 51.19/51.42 (* end of lemma zenon_L230_ *)
% 51.19/51.42 assert (zenon_L231_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((op2 (e23) (e20)) = (e22)) -> (~((e20) = (e23))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((e22) = (e23))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e21) = (e23))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> ((op2 (e21) (e20)) = (e20)) -> (~((e20) = (e22))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (~((e20) = (e21))) -> False).
% 51.19/51.42 do 0 intro. intros zenon_H222 zenon_H21c zenon_H205 zenon_H1fd zenon_H214 zenon_H1f3 zenon_H28c zenon_H187 zenon_H15e zenon_H1e6 zenon_H1bd zenon_H26e zenon_H26d zenon_H175 zenon_H195 zenon_H1d7 zenon_H1ac zenon_H1fa zenon_H1f7 zenon_H1a7 zenon_H16d zenon_H16f zenon_H22f zenon_H209 zenon_H14 zenon_H14e zenon_H210.
% 51.19/51.42 apply (zenon_or_s _ _ zenon_H214); [ zenon_intro zenon_H1fe | zenon_intro zenon_H215 ].
% 51.19/51.42 apply (zenon_L151_); trivial.
% 51.19/51.42 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H203 | zenon_intro zenon_H216 ].
% 51.19/51.42 apply (zenon_L230_); trivial.
% 51.19/51.42 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H208 | zenon_intro zenon_H20f ].
% 51.19/51.42 apply (zenon_L153_); trivial.
% 51.19/51.42 apply (zenon_L154_); trivial.
% 51.19/51.42 (* end of lemma zenon_L231_ *)
% 51.19/51.42 assert (zenon_L232_ : (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((e21) = (e22))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e20) = (e23))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((e22) = (e23))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e21) = (e23))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> ((op2 (e21) (e20)) = (e20)) -> (~((e20) = (e22))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (~((e20) = (e21))) -> False).
% 51.19/51.42 do 0 intro. intros zenon_H28d zenon_H164 zenon_H168 zenon_H28e zenon_H15d zenon_H288 zenon_H222 zenon_H205 zenon_H1fd zenon_H214 zenon_H1f3 zenon_H28c zenon_H187 zenon_H15e zenon_H1e6 zenon_H1bd zenon_H26e zenon_H26d zenon_H195 zenon_H1d7 zenon_H1ac zenon_H1fa zenon_H1f7 zenon_H1a7 zenon_H16d zenon_H16f zenon_H22f zenon_H209 zenon_H14 zenon_H14e zenon_H210.
% 51.19/51.42 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H15f | zenon_intro zenon_H28f ].
% 51.19/51.42 apply (zenon_L116_); trivial.
% 51.19/51.42 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H165 | zenon_intro zenon_H290 ].
% 51.19/51.42 apply (zenon_L117_); trivial.
% 51.19/51.42 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H169 | zenon_intro zenon_H175 ].
% 51.19/51.42 apply (zenon_L118_); trivial.
% 51.19/51.42 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H15f | zenon_intro zenon_H291 ].
% 51.19/51.42 apply (zenon_L116_); trivial.
% 51.19/51.42 apply (zenon_or_s _ _ zenon_H291); [ zenon_intro zenon_H16e | zenon_intro zenon_H292 ].
% 51.19/51.42 apply (zenon_L120_); trivial.
% 51.19/51.42 apply (zenon_or_s _ _ zenon_H292); [ zenon_intro zenon_H176 | zenon_intro zenon_H21c ].
% 51.19/51.42 apply (zenon_L223_); trivial.
% 51.19/51.42 apply (zenon_L231_); trivial.
% 51.19/51.42 (* end of lemma zenon_L232_ *)
% 51.19/51.42 assert (zenon_L233_ : ((op2 (e20) (e22)) = (e20)) -> ((op2 (e20) (e22)) = (e21)) -> (~((e20) = (e21))) -> False).
% 51.19/51.42 do 0 intro. intros zenon_H156 zenon_H293 zenon_H210.
% 51.19/51.42 elim (classic ((e21) = (e21))); [ zenon_intro zenon_H211 | zenon_intro zenon_H1f6 ].
% 51.19/51.42 cut (((e21) = (e21)) = ((e20) = (e21))).
% 51.19/51.42 intro zenon_D_pnotp.
% 51.19/51.42 apply zenon_H210.
% 51.19/51.42 rewrite <- zenon_D_pnotp.
% 51.19/51.42 exact zenon_H211.
% 51.19/51.42 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H1f6].
% 51.19/51.42 cut (((e21) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H212].
% 51.19/51.42 congruence.
% 51.19/51.42 cut (((op2 (e20) (e22)) = (e20)) = ((e21) = (e20))).
% 51.19/51.42 intro zenon_D_pnotp.
% 51.19/51.42 apply zenon_H212.
% 51.19/51.42 rewrite <- zenon_D_pnotp.
% 51.19/51.42 exact zenon_H156.
% 51.19/51.42 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H16c].
% 51.19/51.42 cut (((op2 (e20) (e22)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H294].
% 51.19/51.42 congruence.
% 51.19/51.42 exact (zenon_H294 zenon_H293).
% 51.19/51.42 apply zenon_H16c. apply refl_equal.
% 51.19/51.42 apply zenon_H1f6. apply refl_equal.
% 51.19/51.42 apply zenon_H1f6. apply refl_equal.
% 51.19/51.42 (* end of lemma zenon_L233_ *)
% 51.19/51.42 assert (zenon_L234_ : (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> ((op2 (e20) (e23)) = (e21)) -> False).
% 51.19/51.42 do 0 intro. intros zenon_H195 zenon_H14e zenon_H295.
% 51.19/51.42 cut (((e21) = (op2 (e23) (e23))) = ((op2 (e20) (e23)) = (op2 (e23) (e23)))).
% 51.19/51.42 intro zenon_D_pnotp.
% 51.19/51.42 apply zenon_H195.
% 51.19/51.42 rewrite <- zenon_D_pnotp.
% 51.19/51.42 exact zenon_H14e.
% 51.19/51.42 cut (((op2 (e23) (e23)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H197].
% 51.19/51.42 cut (((e21) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H296].
% 51.19/51.42 congruence.
% 51.19/51.42 elim (classic ((op2 (e20) (e23)) = (op2 (e20) (e23)))); [ zenon_intro zenon_H297 | zenon_intro zenon_H298 ].
% 51.19/51.42 cut (((op2 (e20) (e23)) = (op2 (e20) (e23))) = ((e21) = (op2 (e20) (e23)))).
% 51.19/51.42 intro zenon_D_pnotp.
% 51.19/51.42 apply zenon_H296.
% 51.19/51.42 rewrite <- zenon_D_pnotp.
% 51.19/51.42 exact zenon_H297.
% 51.19/51.42 cut (((op2 (e20) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H298].
% 51.19/51.42 cut (((op2 (e20) (e23)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H299].
% 51.19/51.42 congruence.
% 51.19/51.42 exact (zenon_H299 zenon_H295).
% 51.19/51.42 apply zenon_H298. apply refl_equal.
% 51.19/51.42 apply zenon_H298. apply refl_equal.
% 51.19/51.42 apply zenon_H197. apply refl_equal.
% 51.19/51.42 (* end of lemma zenon_L234_ *)
% 51.19/51.42 assert (zenon_L235_ : (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> ((op2 (e22) (e23)) = (e21)) -> False).
% 51.19/51.42 do 0 intro. intros zenon_H1ec zenon_H14e zenon_H29a.
% 51.19/51.42 cut (((e21) = (op2 (e23) (e23))) = ((op2 (e22) (e23)) = (op2 (e23) (e23)))).
% 51.19/51.42 intro zenon_D_pnotp.
% 51.19/51.42 apply zenon_H1ec.
% 51.19/51.42 rewrite <- zenon_D_pnotp.
% 51.19/51.42 exact zenon_H14e.
% 51.19/51.42 cut (((op2 (e23) (e23)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H197].
% 51.19/51.42 cut (((e21) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H29b].
% 51.19/51.42 congruence.
% 51.19/51.42 elim (classic ((op2 (e22) (e23)) = (op2 (e22) (e23)))); [ zenon_intro zenon_H18f | zenon_intro zenon_H190 ].
% 51.19/51.42 cut (((op2 (e22) (e23)) = (op2 (e22) (e23))) = ((e21) = (op2 (e22) (e23)))).
% 51.19/51.42 intro zenon_D_pnotp.
% 51.19/51.42 apply zenon_H29b.
% 51.19/51.42 rewrite <- zenon_D_pnotp.
% 51.19/51.42 exact zenon_H18f.
% 51.19/51.42 cut (((op2 (e22) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H190].
% 51.19/51.42 cut (((op2 (e22) (e23)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H29c].
% 51.19/51.42 congruence.
% 51.19/51.42 exact (zenon_H29c zenon_H29a).
% 51.19/51.42 apply zenon_H190. apply refl_equal.
% 51.19/51.42 apply zenon_H190. apply refl_equal.
% 51.19/51.42 apply zenon_H197. apply refl_equal.
% 51.19/51.42 (* end of lemma zenon_L235_ *)
% 51.19/51.42 assert (zenon_L236_ : (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> ((op2 (e22) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e20)) = (e22)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e21) (e20)) = (e23)) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> False).
% 51.19/51.42 do 0 intro. intros zenon_H29d zenon_H266 zenon_H254 zenon_H18e zenon_H15e zenon_H24b zenon_H209 zenon_H14 zenon_H23c zenon_H21c zenon_H21b zenon_H175 zenon_H1d7 zenon_H23b zenon_H1a8 zenon_H240 zenon_H1ec zenon_H14e zenon_H244 zenon_H245.
% 51.19/51.42 apply (zenon_or_s _ _ zenon_H29d); [ zenon_intro zenon_H1c9 | zenon_intro zenon_H29e ].
% 51.19/51.42 apply (zenon_L198_); trivial.
% 51.19/51.42 apply (zenon_or_s _ _ zenon_H29e); [ zenon_intro zenon_H29a | zenon_intro zenon_H29f ].
% 51.19/51.42 apply (zenon_L235_); trivial.
% 51.19/51.42 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H18d | zenon_intro zenon_H1e7 ].
% 51.19/51.42 apply (zenon_L125_); trivial.
% 51.19/51.42 apply (zenon_L174_); trivial.
% 51.19/51.42 (* end of lemma zenon_L236_ *)
% 51.19/51.42 assert (zenon_L237_ : (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((e20) = (e22))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((op2 (e21) (e20)) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e20)) = (e22)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> ((op2 (e22) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (~((e20) = (e21))) -> False).
% 51.19/51.42 do 0 intro. intros zenon_H22f zenon_H195 zenon_H187 zenon_H16f zenon_H19b zenon_H245 zenon_H244 zenon_H1ec zenon_H240 zenon_H23b zenon_H1d7 zenon_H175 zenon_H21b zenon_H21c zenon_H23c zenon_H14 zenon_H209 zenon_H24b zenon_H15e zenon_H18e zenon_H29d zenon_H266 zenon_H254 zenon_H14e zenon_H210.
% 51.19/51.42 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H235 ].
% 51.19/51.42 apply (zenon_L183_); trivial.
% 51.19/51.42 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H1a8 | zenon_intro zenon_H236 ].
% 51.19/51.42 apply (zenon_L236_); trivial.
% 51.19/51.42 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1c9 | zenon_intro zenon_H20f ].
% 51.19/51.42 apply (zenon_L198_); trivial.
% 51.19/51.42 apply (zenon_L154_); trivial.
% 51.19/51.42 (* end of lemma zenon_L237_ *)
% 51.19/51.42 assert (zenon_L238_ : (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((op2 (e20) (e21)) = (e23)) -> ((op2 (e22) (e23)) = (e23)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e23) (e20)) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e20) (e23)) = (e22)) -> ((op2 (e22) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (~((e20) = (e21))) -> False).
% 51.19/51.42 do 0 intro. intros zenon_H22f zenon_H16f zenon_H245 zenon_H244 zenon_H1e7 zenon_H1ec zenon_H1cc zenon_H1cd zenon_H1e6 zenon_H175 zenon_H266 zenon_H254 zenon_H14e zenon_H210.
% 51.19/51.42 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H235 ].
% 51.19/51.42 apply (zenon_L129_); trivial.
% 51.19/51.42 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H1a8 | zenon_intro zenon_H236 ].
% 51.19/51.42 apply (zenon_L177_); trivial.
% 51.19/51.42 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1c9 | zenon_intro zenon_H20f ].
% 51.19/51.42 apply (zenon_L198_); trivial.
% 51.19/51.42 apply (zenon_L154_); trivial.
% 51.19/51.42 (* end of lemma zenon_L238_ *)
% 51.19/51.42 assert (zenon_L239_ : (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e21) (e20)) = (e23)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((op2 (e20) (e21)) = (e23)) -> ((op2 (e22) (e23)) = (e23)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e20) (e23)) = (e22)) -> ((op2 (e22) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (~((e20) = (e21))) -> False).
% 51.19/51.42 do 0 intro. intros zenon_H21f zenon_H1fd zenon_H217 zenon_H29d zenon_H18e zenon_H15e zenon_H24b zenon_H209 zenon_H14 zenon_H23c zenon_H21b zenon_H1d7 zenon_H23b zenon_H240 zenon_H19b zenon_H187 zenon_H195 zenon_H22f zenon_H16f zenon_H245 zenon_H244 zenon_H1e7 zenon_H1ec zenon_H1cc zenon_H1e6 zenon_H175 zenon_H266 zenon_H254 zenon_H14e zenon_H210.
% 51.19/51.42 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H1fe | zenon_intro zenon_H220 ].
% 51.19/51.42 apply (zenon_L151_); trivial.
% 51.19/51.42 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H218 | zenon_intro zenon_H221 ].
% 51.19/51.42 apply (zenon_L156_); trivial.
% 51.19/51.42 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H21c | zenon_intro zenon_H1cd ].
% 51.19/51.42 apply (zenon_L237_); trivial.
% 51.19/51.42 apply (zenon_L238_); trivial.
% 51.19/51.42 (* end of lemma zenon_L239_ *)
% 51.19/51.42 assert (zenon_L240_ : (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e22) = (e23))) -> (~((e20) = (e23))) -> ((op2 (e21) (e23)) = (e20)) -> (~((e20) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e22) (e20)) = (e20)) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((e20) = (e22))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((op2 (e21) (e20)) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((e21) = (e23))) -> ((e21) = (op2 (e23) (e23))) -> False).
% 51.19/51.42 do 0 intro. intros zenon_H1fa zenon_H1ac zenon_H205 zenon_H1a8 zenon_H210 zenon_H254 zenon_H266 zenon_H175 zenon_H1e6 zenon_H1cc zenon_H1ec zenon_H244 zenon_H245 zenon_H16f zenon_H22f zenon_H195 zenon_H187 zenon_H19b zenon_H240 zenon_H23b zenon_H1d7 zenon_H21b zenon_H23c zenon_H14 zenon_H209 zenon_H24b zenon_H15e zenon_H18e zenon_H29d zenon_H217 zenon_H1fd zenon_H21f zenon_H1f7 zenon_H14e.
% 51.19/51.42 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H1ab | zenon_intro zenon_H1fb ].
% 51.19/51.42 apply (zenon_L132_); trivial.
% 51.19/51.42 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H1bc | zenon_intro zenon_H1fc ].
% 51.19/51.42 apply (zenon_L184_); trivial.
% 51.19/51.42 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H1f8 ].
% 51.19/51.42 apply (zenon_L239_); trivial.
% 51.19/51.42 apply (zenon_L149_); trivial.
% 51.19/51.42 (* end of lemma zenon_L240_ *)
% 51.19/51.42 assert (zenon_L241_ : (~((e21) = (e23))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e21) (e20)) = (e23)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e20) (e23)) = (e22)) -> (~((e20) = (e23))) -> (~((e22) = (e23))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((op2 (e22) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (~((e20) = (e21))) -> False).
% 51.19/51.42 do 0 intro. intros zenon_H1f7 zenon_H21f zenon_H1fd zenon_H217 zenon_H29d zenon_H18e zenon_H15e zenon_H24b zenon_H209 zenon_H14 zenon_H23c zenon_H21b zenon_H1d7 zenon_H23b zenon_H240 zenon_H19b zenon_H187 zenon_H195 zenon_H22f zenon_H16f zenon_H245 zenon_H244 zenon_H1ec zenon_H1cc zenon_H1e6 zenon_H175 zenon_H205 zenon_H1ac zenon_H1fa zenon_H266 zenon_H254 zenon_H14e zenon_H210.
% 51.19/51.42 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H235 ].
% 51.19/51.42 apply (zenon_L183_); trivial.
% 51.19/51.42 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H1a8 | zenon_intro zenon_H236 ].
% 51.19/51.42 apply (zenon_L240_); trivial.
% 51.19/51.42 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1c9 | zenon_intro zenon_H20f ].
% 51.19/51.42 apply (zenon_L198_); trivial.
% 51.19/51.42 apply (zenon_L154_); trivial.
% 51.19/51.42 (* end of lemma zenon_L241_ *)
% 51.19/51.42 assert (zenon_L242_ : ((op2 (e22) (e20)) = (e20)) -> ((op2 (e22) (e20)) = (e23)) -> (~((e20) = (e23))) -> False).
% 51.19/51.42 do 0 intro. intros zenon_H266 zenon_H252 zenon_H205.
% 51.19/51.42 elim (classic ((e23) = (e23))); [ zenon_intro zenon_H1ad | zenon_intro zenon_H14c ].
% 51.19/51.42 cut (((e23) = (e23)) = ((e20) = (e23))).
% 51.19/51.42 intro zenon_D_pnotp.
% 51.19/51.42 apply zenon_H205.
% 51.19/51.42 rewrite <- zenon_D_pnotp.
% 51.19/51.42 exact zenon_H1ad.
% 51.19/51.42 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H14c].
% 51.19/51.42 cut (((e23) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H206].
% 51.19/51.42 congruence.
% 51.19/51.42 cut (((op2 (e22) (e20)) = (e20)) = ((e23) = (e20))).
% 51.19/51.42 intro zenon_D_pnotp.
% 51.19/51.42 apply zenon_H206.
% 51.19/51.42 rewrite <- zenon_D_pnotp.
% 51.19/51.42 exact zenon_H266.
% 51.19/51.42 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H16c].
% 51.19/51.42 cut (((op2 (e22) (e20)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H2a0].
% 51.19/51.42 congruence.
% 51.19/51.42 exact (zenon_H2a0 zenon_H252).
% 51.19/51.42 apply zenon_H16c. apply refl_equal.
% 51.19/51.42 apply zenon_H14c. apply refl_equal.
% 51.19/51.42 apply zenon_H14c. apply refl_equal.
% 51.19/51.42 (* end of lemma zenon_L242_ *)
% 51.19/51.42 assert (zenon_L243_ : (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e22) = (e23))) -> (~((e20) = (e23))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e21) (e23)) = (e20)) -> ((op2 (e23) (e20)) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e20) (e23)) = (e22)) -> (~((e21) = (e23))) -> ((e21) = (op2 (e23) (e23))) -> False).
% 51.19/51.42 do 0 intro. intros zenon_H1fa zenon_H1ac zenon_H205 zenon_H245 zenon_H244 zenon_H1ec zenon_H1cc zenon_H1a8 zenon_H1cd zenon_H1e6 zenon_H175 zenon_H1f7 zenon_H14e.
% 51.19/51.42 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H1ab | zenon_intro zenon_H1fb ].
% 51.19/51.42 apply (zenon_L132_); trivial.
% 51.19/51.42 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H1bc | zenon_intro zenon_H1fc ].
% 51.19/51.42 apply (zenon_L184_); trivial.
% 51.19/51.42 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H1f8 ].
% 51.19/51.42 apply (zenon_L177_); trivial.
% 51.19/51.42 apply (zenon_L149_); trivial.
% 51.19/51.42 (* end of lemma zenon_L243_ *)
% 51.19/51.42 assert (zenon_L244_ : (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((e20) = (e22))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e21) = (e23))) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e23) (e20)) = (e23)) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((e20) = (e23))) -> (~((e22) = (e23))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((op2 (e22) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (~((e20) = (e21))) -> False).
% 51.19/51.42 do 0 intro. intros zenon_H22f zenon_H195 zenon_H14 zenon_H15e zenon_H18e zenon_H187 zenon_H16f zenon_H19b zenon_H1f7 zenon_H175 zenon_H1e6 zenon_H1cd zenon_H1cc zenon_H1ec zenon_H244 zenon_H245 zenon_H205 zenon_H1ac zenon_H1fa zenon_H266 zenon_H254 zenon_H14e zenon_H210.
% 51.19/51.42 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H235 ].
% 51.19/51.42 apply (zenon_L183_); trivial.
% 51.19/51.42 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H1a8 | zenon_intro zenon_H236 ].
% 51.19/51.42 apply (zenon_L243_); trivial.
% 51.19/51.42 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1c9 | zenon_intro zenon_H20f ].
% 51.19/51.42 apply (zenon_L198_); trivial.
% 51.19/51.42 apply (zenon_L154_); trivial.
% 51.19/51.42 (* end of lemma zenon_L244_ *)
% 51.19/51.42 assert (zenon_L245_ : (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((e20) = (e21))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e22) (e20)) = (e20)) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((e21) = (e23))) -> (~((e20) = (e22))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((op2 (e20) (e20)) = (e21)) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((e20) = (e23))) -> ((op2 (e20) (e22)) = (e20)) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e22) = (e23))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> False).
% 51.19/51.42 do 0 intro. intros zenon_H28d zenon_H15d zenon_H164 zenon_H168 zenon_H258 zenon_H210 zenon_H14e zenon_H254 zenon_H266 zenon_H1fa zenon_H245 zenon_H1ec zenon_H1cc zenon_H1e6 zenon_H1f7 zenon_H16f zenon_H22f zenon_H21f zenon_H1fd zenon_H217 zenon_H29d zenon_H24b zenon_H209 zenon_H23c zenon_H21b zenon_H1d7 zenon_H240 zenon_H237 zenon_H259 zenon_H205 zenon_H156 zenon_H19b zenon_H1ac zenon_H187 zenon_H18e zenon_H15e zenon_H14 zenon_H195.
% 51.19/51.42 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H15f | zenon_intro zenon_H28f ].
% 51.19/51.42 apply (zenon_L116_); trivial.
% 51.19/51.42 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H165 | zenon_intro zenon_H290 ].
% 51.19/51.42 apply (zenon_L117_); trivial.
% 51.19/51.42 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H169 | zenon_intro zenon_H175 ].
% 51.19/51.42 apply (zenon_L118_); trivial.
% 51.19/51.42 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H238 | zenon_intro zenon_H25a ].
% 51.19/51.42 apply (zenon_L166_); trivial.
% 51.19/51.42 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H244 | zenon_intro zenon_H25b ].
% 51.19/51.42 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H238 | zenon_intro zenon_H25c ].
% 51.19/51.42 apply (zenon_L166_); trivial.
% 51.19/51.42 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H23b | zenon_intro zenon_H25d ].
% 51.19/51.42 apply (zenon_L241_); trivial.
% 51.19/51.42 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H252 | zenon_intro zenon_H1cd ].
% 51.19/51.42 apply (zenon_L242_); trivial.
% 51.19/51.42 apply (zenon_L244_); trivial.
% 51.19/51.42 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H256 | zenon_intro zenon_H1ab ].
% 51.19/51.42 apply (zenon_L193_); trivial.
% 51.19/51.42 apply (zenon_L194_); trivial.
% 51.19/51.42 (* end of lemma zenon_L245_ *)
% 51.19/51.42 assert (zenon_L246_ : (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e21) (e21)) = (e20)) -> ((e21) = (op2 (e23) (e23))) -> False).
% 51.19/51.42 do 0 intro. intros zenon_H26d zenon_H14 zenon_H2a1 zenon_H14e.
% 51.19/51.42 cut (((e20) = (op2 (e23) (op2 (e23) (e23)))) = ((op2 (e21) (e21)) = (op2 (e23) (e21)))).
% 51.19/51.42 intro zenon_D_pnotp.
% 51.19/51.42 apply zenon_H26d.
% 51.19/51.42 rewrite <- zenon_D_pnotp.
% 51.19/51.42 exact zenon_H14.
% 51.19/51.42 cut (((op2 (e23) (op2 (e23) (e23))) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H14d].
% 51.19/51.42 cut (((e20) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H2a2].
% 51.19/51.42 congruence.
% 51.19/51.42 elim (classic ((op2 (e21) (e21)) = (op2 (e21) (e21)))); [ zenon_intro zenon_H246 | zenon_intro zenon_H247 ].
% 51.19/51.42 cut (((op2 (e21) (e21)) = (op2 (e21) (e21))) = ((e20) = (op2 (e21) (e21)))).
% 51.19/51.42 intro zenon_D_pnotp.
% 51.19/51.42 apply zenon_H2a2.
% 51.19/51.42 rewrite <- zenon_D_pnotp.
% 51.19/51.42 exact zenon_H246.
% 51.19/51.42 cut (((op2 (e21) (e21)) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H247].
% 51.19/51.42 cut (((op2 (e21) (e21)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H2a3].
% 51.19/51.42 congruence.
% 51.19/51.42 exact (zenon_H2a3 zenon_H2a1).
% 51.19/51.42 apply zenon_H247. apply refl_equal.
% 51.19/51.42 apply zenon_H247. apply refl_equal.
% 51.19/51.42 apply (zenon_L112_); trivial.
% 51.19/51.42 (* end of lemma zenon_L246_ *)
% 51.19/51.42 assert (zenon_L247_ : (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e20) = (e22))) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (e21) (e22)) = (e20)) -> ((op2 (e23) (e21)) = (e20)) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e22) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (~((e20) = (e21))) -> False).
% 51.19/51.42 do 0 intro. intros zenon_H22f zenon_H16f zenon_H175 zenon_H27c zenon_H277 zenon_H203 zenon_H14 zenon_H266 zenon_H254 zenon_H14e zenon_H210.
% 51.19/51.42 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H235 ].
% 51.19/51.42 apply (zenon_L129_); trivial.
% 51.19/51.42 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H1a8 | zenon_intro zenon_H236 ].
% 51.19/51.42 apply (zenon_L214_); trivial.
% 51.19/51.42 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1c9 | zenon_intro zenon_H20f ].
% 51.19/51.42 apply (zenon_L198_); trivial.
% 51.19/51.42 apply (zenon_L154_); trivial.
% 51.19/51.42 (* end of lemma zenon_L247_ *)
% 51.19/51.42 assert (zenon_L248_ : (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (e23) (e21)) = (e20)) -> ((op2 (e21) (e23)) = (e20)) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((e21) = (op2 (e23) (e23))) -> (~((e21) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e20) = (e22))) -> (~((e20) = (e23))) -> ((op2 (e22) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((e20) = (e21))) -> (~((e22) = (e23))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e22)) = (e23)) -> False).
% 51.19/51.42 do 0 intro. intros zenon_H285 zenon_H27c zenon_H203 zenon_H1a8 zenon_H14 zenon_H280 zenon_H27f zenon_H14e zenon_H1f7 zenon_H1d7 zenon_H267 zenon_H1ec zenon_H175 zenon_H195 zenon_H22f zenon_H16f zenon_H205 zenon_H266 zenon_H254 zenon_H210 zenon_H1ac zenon_H1fa zenon_H283 zenon_H21d.
% 51.19/51.42 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H277 | zenon_intro zenon_H286 ].
% 51.19/51.42 apply (zenon_L214_); trivial.
% 51.19/51.42 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H281 | zenon_intro zenon_H287 ].
% 51.19/51.42 apply (zenon_L215_); trivial.
% 51.19/51.42 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H17f | zenon_intro zenon_H284 ].
% 51.19/51.42 apply (zenon_L203_); trivial.
% 51.19/51.42 apply (zenon_L216_); trivial.
% 51.19/51.42 (* end of lemma zenon_L248_ *)
% 51.19/51.42 assert (zenon_L249_ : ((op2 (e23) (e22)) = (e23)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e22) = (e23))) -> (~((e20) = (e23))) -> (~((e20) = (e22))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((e21) = (e23))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((op2 (e21) (e20)) = (e21)) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e23) (e21)) = (e20)) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> ((op2 (e22) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (~((e20) = (e21))) -> False).
% 51.19/51.42 do 0 intro. intros zenon_H21d zenon_H283 zenon_H1fa zenon_H1ac zenon_H205 zenon_H16f zenon_H22f zenon_H195 zenon_H175 zenon_H1ec zenon_H267 zenon_H1d7 zenon_H1f7 zenon_H27f zenon_H280 zenon_H14 zenon_H203 zenon_H27c zenon_H285 zenon_H266 zenon_H254 zenon_H14e zenon_H210.
% 51.19/51.42 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H235 ].
% 51.19/51.42 apply (zenon_L129_); trivial.
% 51.19/51.42 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H1a8 | zenon_intro zenon_H236 ].
% 51.19/51.42 apply (zenon_L248_); trivial.
% 51.19/51.42 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1c9 | zenon_intro zenon_H20f ].
% 51.19/51.42 apply (zenon_L198_); trivial.
% 51.19/51.42 apply (zenon_L154_); trivial.
% 51.19/51.42 (* end of lemma zenon_L249_ *)
% 51.19/51.42 assert (zenon_L250_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((op2 (e23) (e20)) = (e22)) -> (~((e20) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e22) (e20)) = (e20)) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (e23) (e21)) = (e20)) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e20) = (e22))) -> (~((e20) = (e23))) -> (~((e22) = (e23))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((e21) = (e23))) -> ((e21) = (op2 (e23) (e23))) -> False).
% 51.19/51.42 do 0 intro. intros zenon_H222 zenon_H21c zenon_H210 zenon_H254 zenon_H266 zenon_H285 zenon_H27c zenon_H203 zenon_H14 zenon_H280 zenon_H27f zenon_H1d7 zenon_H267 zenon_H1ec zenon_H175 zenon_H195 zenon_H22f zenon_H16f zenon_H205 zenon_H1ac zenon_H1fa zenon_H283 zenon_H1f7 zenon_H14e.
% 51.19/51.42 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1cd | zenon_intro zenon_H223 ].
% 51.19/51.42 apply (zenon_L192_); trivial.
% 51.19/51.42 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H204 | zenon_intro zenon_H224 ].
% 51.19/51.42 apply (zenon_L152_); trivial.
% 51.19/51.42 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H21d | zenon_intro zenon_H1f8 ].
% 51.19/51.42 apply (zenon_L249_); trivial.
% 51.19/51.42 apply (zenon_L149_); trivial.
% 51.19/51.42 (* end of lemma zenon_L250_ *)
% 51.19/51.42 assert (zenon_L251_ : (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((e21) = (e23))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e22) = (e23))) -> (~((e20) = (e23))) -> (~((e20) = (e22))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> ((op2 (e22) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e23) (e20)) = (e22)) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (~((e20) = (e21))) -> False).
% 51.19/51.42 do 0 intro. intros zenon_H214 zenon_H1fd zenon_H1f7 zenon_H283 zenon_H1fa zenon_H1ac zenon_H205 zenon_H16f zenon_H22f zenon_H195 zenon_H175 zenon_H1ec zenon_H267 zenon_H1d7 zenon_H27f zenon_H280 zenon_H27c zenon_H285 zenon_H266 zenon_H254 zenon_H21c zenon_H222 zenon_H209 zenon_H14 zenon_H14e zenon_H210.
% 51.19/51.42 apply (zenon_or_s _ _ zenon_H214); [ zenon_intro zenon_H1fe | zenon_intro zenon_H215 ].
% 51.19/51.42 apply (zenon_L151_); trivial.
% 51.19/51.42 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H203 | zenon_intro zenon_H216 ].
% 51.19/51.42 apply (zenon_L250_); trivial.
% 51.19/51.42 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H208 | zenon_intro zenon_H20f ].
% 51.19/51.42 apply (zenon_L153_); trivial.
% 51.19/51.42 apply (zenon_L154_); trivial.
% 51.19/51.42 (* end of lemma zenon_L251_ *)
% 51.19/51.42 assert (zenon_L252_ : (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((e22) = (e23))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e20) = (e23))) -> ((op2 (e23) (e22)) = (e22)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e21) (e23)) = (e20)) -> ((op2 (e23) (e20)) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e20) (e23)) = (e22)) -> (~((e21) = (e23))) -> ((e21) = (op2 (e23) (e23))) -> False).
% 51.19/51.42 do 0 intro. intros zenon_H1fa zenon_H195 zenon_H14 zenon_H15e zenon_H18e zenon_H187 zenon_H1ac zenon_H19b zenon_H205 zenon_H1d8 zenon_H1d7 zenon_H1ec zenon_H1cc zenon_H1a8 zenon_H1cd zenon_H1e6 zenon_H175 zenon_H1f7 zenon_H14e.
% 51.19/51.42 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H1ab | zenon_intro zenon_H1fb ].
% 51.19/51.42 apply (zenon_L194_); trivial.
% 51.19/51.42 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H1bc | zenon_intro zenon_H1fc ].
% 51.19/51.42 apply (zenon_L184_); trivial.
% 51.19/51.42 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H1f8 ].
% 51.19/51.42 apply (zenon_L144_); trivial.
% 51.19/51.42 apply (zenon_L149_); trivial.
% 51.19/51.42 (* end of lemma zenon_L252_ *)
% 51.19/51.42 assert (zenon_L253_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e23) (e22)) = (e22)) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e22) = (e23))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e22) (e20)) = (e20)) -> (~((e20) = (e23))) -> (~((e20) = (e22))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((op2 (e21) (e20)) = (e21)) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e20)) -> ((op2 (e23) (e21)) = (e20)) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((e21) = (e23))) -> ((e21) = (op2 (e23) (e23))) -> False).
% 51.19/51.42 do 0 intro. intros zenon_H222 zenon_H1e6 zenon_H1cc zenon_H1d8 zenon_H19b zenon_H187 zenon_H18e zenon_H15e zenon_H283 zenon_H1fa zenon_H1ac zenon_H210 zenon_H254 zenon_H266 zenon_H205 zenon_H16f zenon_H22f zenon_H195 zenon_H175 zenon_H1ec zenon_H267 zenon_H1d7 zenon_H27f zenon_H280 zenon_H14 zenon_H1a8 zenon_H203 zenon_H27c zenon_H285 zenon_H1f7 zenon_H14e.
% 51.19/51.42 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1cd | zenon_intro zenon_H223 ].
% 51.19/51.42 apply (zenon_L252_); trivial.
% 51.19/51.42 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H204 | zenon_intro zenon_H224 ].
% 51.19/51.42 apply (zenon_L152_); trivial.
% 51.19/51.42 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H21d | zenon_intro zenon_H1f8 ].
% 51.19/51.42 apply (zenon_L248_); trivial.
% 51.19/51.42 apply (zenon_L149_); trivial.
% 51.19/51.42 (* end of lemma zenon_L253_ *)
% 51.19/51.42 assert (zenon_L254_ : (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> ((e21) = (op2 (e23) (e23))) -> (~((e21) = (e23))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (e23) (e21)) = (e20)) -> ((op2 (e21) (e23)) = (e20)) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e22)) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e20) = (e22))) -> (~((e20) = (e23))) -> ((op2 (e22) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((e20) = (e21))) -> (~((e22) = (e23))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> False).
% 51.19/51.42 do 0 intro. intros zenon_H24e zenon_H209 zenon_H1fd zenon_H214 zenon_H14e zenon_H1f7 zenon_H285 zenon_H27c zenon_H203 zenon_H1a8 zenon_H280 zenon_H27f zenon_H1d7 zenon_H267 zenon_H1ec zenon_H175 zenon_H22f zenon_H16f zenon_H205 zenon_H266 zenon_H254 zenon_H210 zenon_H1ac zenon_H1fa zenon_H283 zenon_H18e zenon_H187 zenon_H19b zenon_H1cc zenon_H1e6 zenon_H222 zenon_H15e zenon_H14 zenon_H195.
% 51.19/51.42 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_H21c | zenon_intro zenon_H24f ].
% 51.19/51.42 apply (zenon_L251_); trivial.
% 51.19/51.42 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H229 | zenon_intro zenon_H250 ].
% 51.19/51.42 apply (zenon_L162_); trivial.
% 51.19/51.42 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H194 ].
% 51.19/51.42 apply (zenon_L253_); trivial.
% 51.19/51.42 apply (zenon_L126_); trivial.
% 51.19/51.42 (* end of lemma zenon_L254_ *)
% 51.19/51.42 assert (zenon_L255_ : ((op2 (e22) (e20)) = (e20)) -> ((op2 (e22) (e20)) = (e22)) -> (~((e20) = (e22))) -> False).
% 51.19/51.42 do 0 intro. intros zenon_H266 zenon_H176 zenon_H16f.
% 51.19/51.42 elim (classic ((e22) = (e22))); [ zenon_intro zenon_H170 | zenon_intro zenon_H171 ].
% 51.19/51.42 cut (((e22) = (e22)) = ((e20) = (e22))).
% 51.19/51.43 intro zenon_D_pnotp.
% 51.19/51.43 apply zenon_H16f.
% 51.19/51.43 rewrite <- zenon_D_pnotp.
% 51.19/51.43 exact zenon_H170.
% 51.19/51.43 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H171].
% 51.19/51.43 cut (((e22) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H172].
% 51.19/51.43 congruence.
% 51.19/51.43 cut (((op2 (e22) (e20)) = (e20)) = ((e22) = (e20))).
% 51.19/51.43 intro zenon_D_pnotp.
% 51.19/51.43 apply zenon_H172.
% 51.19/51.43 rewrite <- zenon_D_pnotp.
% 51.19/51.43 exact zenon_H266.
% 51.19/51.43 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H16c].
% 51.19/51.43 cut (((op2 (e22) (e20)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H28a].
% 51.19/51.43 congruence.
% 51.19/51.43 exact (zenon_H28a zenon_H176).
% 51.19/51.43 apply zenon_H16c. apply refl_equal.
% 51.19/51.43 apply zenon_H171. apply refl_equal.
% 51.19/51.43 apply zenon_H171. apply refl_equal.
% 51.19/51.43 (* end of lemma zenon_L255_ *)
% 51.19/51.43 assert (zenon_L256_ : ((op2 (e22) (e20)) = (e20)) -> ((op2 (e22) (e20)) = (e21)) -> (~((e20) = (e21))) -> False).
% 51.19/51.43 do 0 intro. intros zenon_H266 zenon_H26e zenon_H210.
% 51.19/51.43 elim (classic ((e21) = (e21))); [ zenon_intro zenon_H211 | zenon_intro zenon_H1f6 ].
% 51.19/51.43 cut (((e21) = (e21)) = ((e20) = (e21))).
% 51.19/51.43 intro zenon_D_pnotp.
% 51.19/51.43 apply zenon_H210.
% 51.19/51.43 rewrite <- zenon_D_pnotp.
% 51.19/51.43 exact zenon_H211.
% 51.19/51.43 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H1f6].
% 51.19/51.43 cut (((e21) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H212].
% 51.19/51.43 congruence.
% 51.19/51.43 cut (((op2 (e22) (e20)) = (e20)) = ((e21) = (e20))).
% 51.19/51.43 intro zenon_D_pnotp.
% 51.19/51.43 apply zenon_H212.
% 51.19/51.43 rewrite <- zenon_D_pnotp.
% 51.19/51.43 exact zenon_H266.
% 51.19/51.43 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H16c].
% 51.19/51.43 cut (((op2 (e22) (e20)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H2a4].
% 51.19/51.43 congruence.
% 51.19/51.43 exact (zenon_H2a4 zenon_H26e).
% 51.19/51.43 apply zenon_H16c. apply refl_equal.
% 51.19/51.43 apply zenon_H1f6. apply refl_equal.
% 51.19/51.43 apply zenon_H1f6. apply refl_equal.
% 51.19/51.43 (* end of lemma zenon_L256_ *)
% 51.19/51.43 assert (zenon_L257_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (((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 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (e22) (e20)) = (e20)) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((e21) = (e23))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e22) = (e23))) -> (~((e20) = (e23))) -> (~((e20) = (e22))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((e20) = (e21))) -> ((op2 (e20) (e22)) = (e20)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> False).
% 51.19/51.43 do 0 intro. intros zenon_H2a5 zenon_H259 zenon_H240 zenon_H21b zenon_H23c zenon_H24b zenon_H29d zenon_H21f zenon_H245 zenon_H258 zenon_H217 zenon_H266 zenon_H28d zenon_H164 zenon_H168 zenon_H28e zenon_H15d zenon_H24e zenon_H18e zenon_H187 zenon_H19b zenon_H1cc zenon_H1e6 zenon_H15e zenon_H26d zenon_H2a6 zenon_H214 zenon_H1fd zenon_H1f7 zenon_H283 zenon_H1fa zenon_H1ac zenon_H205 zenon_H16f zenon_H22f zenon_H1ec zenon_H267 zenon_H1d7 zenon_H27f zenon_H27c zenon_H285 zenon_H254 zenon_H222 zenon_H209 zenon_H14 zenon_H25f zenon_H2a7 zenon_H210 zenon_H156 zenon_H195 zenon_H14e.
% 51.19/51.43 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_H237 | zenon_intro zenon_H2a8 ].
% 51.19/51.43 apply (zenon_L245_); trivial.
% 51.19/51.43 apply (zenon_or_s _ _ zenon_H2a8); [ zenon_intro zenon_H25e | zenon_intro zenon_H2a9 ].
% 51.19/51.43 apply (zenon_or_s _ _ zenon_H2a7); [ zenon_intro zenon_H237 | zenon_intro zenon_H2aa ].
% 51.19/51.43 apply (zenon_L196_); trivial.
% 51.19/51.43 apply (zenon_or_s _ _ zenon_H2aa); [ zenon_intro zenon_H280 | zenon_intro zenon_H2ab ].
% 51.19/51.43 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H15f | zenon_intro zenon_H28f ].
% 51.19/51.43 apply (zenon_L116_); trivial.
% 51.19/51.43 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H165 | zenon_intro zenon_H290 ].
% 51.19/51.43 apply (zenon_L117_); trivial.
% 51.19/51.43 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H169 | zenon_intro zenon_H175 ].
% 51.19/51.43 apply (zenon_L118_); trivial.
% 51.19/51.43 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H15f | zenon_intro zenon_H291 ].
% 51.19/51.43 apply (zenon_L116_); trivial.
% 51.19/51.43 apply (zenon_or_s _ _ zenon_H291); [ zenon_intro zenon_H16e | zenon_intro zenon_H292 ].
% 51.19/51.43 apply (zenon_or_s _ _ zenon_H2a6); [ zenon_intro zenon_H16d | zenon_intro zenon_H2ac ].
% 51.19/51.43 apply (zenon_L120_); trivial.
% 51.19/51.43 apply (zenon_or_s _ _ zenon_H2ac); [ zenon_intro zenon_H2a1 | zenon_intro zenon_H2ad ].
% 51.19/51.43 apply (zenon_L246_); trivial.
% 51.19/51.43 apply (zenon_or_s _ _ zenon_H2ad); [ zenon_intro zenon_H277 | zenon_intro zenon_H1a8 ].
% 51.19/51.43 apply (zenon_or_s _ _ zenon_H214); [ zenon_intro zenon_H1fe | zenon_intro zenon_H215 ].
% 51.19/51.43 apply (zenon_L151_); trivial.
% 51.19/51.43 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H203 | zenon_intro zenon_H216 ].
% 51.19/51.43 apply (zenon_L247_); trivial.
% 51.19/51.43 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H208 | zenon_intro zenon_H20f ].
% 51.19/51.43 apply (zenon_L153_); trivial.
% 51.19/51.43 apply (zenon_L154_); trivial.
% 51.19/51.43 apply (zenon_or_s _ _ zenon_H214); [ zenon_intro zenon_H1fe | zenon_intro zenon_H215 ].
% 51.19/51.43 apply (zenon_L151_); trivial.
% 51.19/51.43 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H203 | zenon_intro zenon_H216 ].
% 51.19/51.43 apply (zenon_L254_); trivial.
% 51.19/51.43 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H208 | zenon_intro zenon_H20f ].
% 51.19/51.43 apply (zenon_L153_); trivial.
% 51.19/51.43 apply (zenon_L154_); trivial.
% 51.19/51.43 apply (zenon_or_s _ _ zenon_H292); [ zenon_intro zenon_H176 | zenon_intro zenon_H21c ].
% 51.19/51.43 apply (zenon_L255_); trivial.
% 51.19/51.43 apply (zenon_L251_); trivial.
% 51.19/51.43 apply (zenon_or_s _ _ zenon_H2ab); [ zenon_intro zenon_H26e | zenon_intro zenon_H218 ].
% 51.19/51.43 apply (zenon_L256_); trivial.
% 51.19/51.43 apply (zenon_L156_); trivial.
% 51.19/51.43 apply (zenon_or_s _ _ zenon_H2a9); [ zenon_intro zenon_H293 | zenon_intro zenon_H295 ].
% 51.19/51.43 apply (zenon_L233_); trivial.
% 51.19/51.43 apply (zenon_L234_); trivial.
% 51.19/51.43 (* end of lemma zenon_L257_ *)
% 51.19/51.43 assert (zenon_L258_ : (((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)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e22)) = (e20)) -> (~((e20) = (e21))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e20) = (e22))) -> (~((e20) = (e23))) -> (~((e22) = (e23))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((e21) = (e23))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> False).
% 51.19/51.43 do 0 intro. intros zenon_H2ae zenon_H157 zenon_H1b1 zenon_H19f zenon_H273 zenon_H225 zenon_H230 zenon_H262 zenon_H2af zenon_H22e zenon_H180 zenon_H22b zenon_H1a7 zenon_H1bd zenon_H28c zenon_H1f3 zenon_H288 zenon_H195 zenon_H156 zenon_H210 zenon_H2a7 zenon_H25f zenon_H209 zenon_H222 zenon_H254 zenon_H285 zenon_H27c zenon_H27f zenon_H1d7 zenon_H267 zenon_H1ec zenon_H22f zenon_H16f zenon_H205 zenon_H1ac zenon_H1fa zenon_H283 zenon_H1f7 zenon_H214 zenon_H2a6 zenon_H26d zenon_H15e zenon_H1e6 zenon_H1cc zenon_H19b zenon_H187 zenon_H18e zenon_H24e zenon_H15d zenon_H28e zenon_H168 zenon_H164 zenon_H28d zenon_H217 zenon_H258 zenon_H245 zenon_H21f zenon_H29d zenon_H24b zenon_H23c zenon_H21b zenon_H240 zenon_H259 zenon_H2a5 zenon_H1fd zenon_H14 zenon_H14e.
% 51.19/51.43 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H13c | zenon_intro zenon_H2b0 ].
% 51.19/51.43 apply (zenon_L114_); trivial.
% 51.19/51.43 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H16d | zenon_intro zenon_H2b1 ].
% 51.19/51.43 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_H237 | zenon_intro zenon_H2a8 ].
% 51.19/51.43 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H15f | zenon_intro zenon_H28f ].
% 51.19/51.43 apply (zenon_L116_); trivial.
% 51.19/51.43 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H165 | zenon_intro zenon_H290 ].
% 51.19/51.43 apply (zenon_L117_); trivial.
% 51.19/51.43 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H169 | zenon_intro zenon_H175 ].
% 51.19/51.43 apply (zenon_L118_); trivial.
% 51.19/51.43 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H15f | zenon_intro zenon_H291 ].
% 51.19/51.43 apply (zenon_L116_); trivial.
% 51.19/51.43 apply (zenon_or_s _ _ zenon_H291); [ zenon_intro zenon_H16e | zenon_intro zenon_H292 ].
% 51.19/51.43 apply (zenon_L120_); trivial.
% 51.19/51.43 apply (zenon_or_s _ _ zenon_H292); [ zenon_intro zenon_H176 | zenon_intro zenon_H21c ].
% 51.19/51.43 apply (zenon_L165_); trivial.
% 51.19/51.43 apply (zenon_L195_); trivial.
% 51.19/51.43 apply (zenon_or_s _ _ zenon_H2a8); [ zenon_intro zenon_H25e | zenon_intro zenon_H2a9 ].
% 51.19/51.43 apply (zenon_or_s _ _ zenon_H2a7); [ zenon_intro zenon_H237 | zenon_intro zenon_H2aa ].
% 51.19/51.43 apply (zenon_L196_); trivial.
% 51.19/51.43 apply (zenon_or_s _ _ zenon_H2aa); [ zenon_intro zenon_H280 | zenon_intro zenon_H2ab ].
% 51.19/51.43 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H15f | zenon_intro zenon_H28f ].
% 51.19/51.43 apply (zenon_L116_); trivial.
% 51.19/51.43 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H165 | zenon_intro zenon_H290 ].
% 51.19/51.43 apply (zenon_L117_); trivial.
% 51.19/51.43 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H169 | zenon_intro zenon_H175 ].
% 51.19/51.43 apply (zenon_L118_); trivial.
% 51.19/51.43 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H15f | zenon_intro zenon_H291 ].
% 51.19/51.43 apply (zenon_L116_); trivial.
% 51.19/51.43 apply (zenon_or_s _ _ zenon_H291); [ zenon_intro zenon_H16e | zenon_intro zenon_H292 ].
% 51.19/51.43 apply (zenon_L120_); trivial.
% 51.19/51.43 apply (zenon_or_s _ _ zenon_H292); [ zenon_intro zenon_H176 | zenon_intro zenon_H21c ].
% 51.19/51.43 apply (zenon_L165_); trivial.
% 51.19/51.43 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H176 | zenon_intro zenon_H2b2 ].
% 51.19/51.43 apply (zenon_L197_); trivial.
% 51.19/51.43 apply (zenon_or_s _ _ zenon_H2b2); [ zenon_intro zenon_H226 | zenon_intro zenon_H2b3 ].
% 51.19/51.43 apply (zenon_L222_); trivial.
% 51.19/51.43 apply (zenon_or_s _ _ zenon_H2b3); [ zenon_intro zenon_H19e | zenon_intro zenon_H18d ].
% 51.19/51.43 apply (zenon_L220_); trivial.
% 51.19/51.43 apply (zenon_L125_); trivial.
% 51.19/51.43 apply (zenon_or_s _ _ zenon_H2ab); [ zenon_intro zenon_H26e | zenon_intro zenon_H218 ].
% 51.19/51.43 apply (zenon_L232_); trivial.
% 51.19/51.43 apply (zenon_L156_); trivial.
% 51.19/51.43 apply (zenon_or_s _ _ zenon_H2a9); [ zenon_intro zenon_H293 | zenon_intro zenon_H295 ].
% 51.19/51.43 apply (zenon_L233_); trivial.
% 51.19/51.43 apply (zenon_L234_); trivial.
% 51.19/51.43 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H266 | zenon_intro zenon_H1fe ].
% 51.19/51.43 apply (zenon_L257_); trivial.
% 51.19/51.43 apply (zenon_L151_); trivial.
% 51.19/51.43 (* end of lemma zenon_L258_ *)
% 51.19/51.43 assert (zenon_L259_ : ((op2 (e20) (e20)) = (e20)) -> ((op2 (e20) (e20)) = (e21)) -> (~((e20) = (e21))) -> False).
% 51.19/51.43 do 0 intro. intros zenon_H13c zenon_H237 zenon_H210.
% 51.19/51.43 elim (classic ((e21) = (e21))); [ zenon_intro zenon_H211 | zenon_intro zenon_H1f6 ].
% 51.19/51.43 cut (((e21) = (e21)) = ((e20) = (e21))).
% 51.19/51.43 intro zenon_D_pnotp.
% 51.19/51.43 apply zenon_H210.
% 51.19/51.43 rewrite <- zenon_D_pnotp.
% 51.19/51.43 exact zenon_H211.
% 51.19/51.43 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H1f6].
% 51.19/51.43 cut (((e21) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H212].
% 51.19/51.43 congruence.
% 51.19/51.43 cut (((op2 (e20) (e20)) = (e20)) = ((e21) = (e20))).
% 51.19/51.43 intro zenon_D_pnotp.
% 51.19/51.43 apply zenon_H212.
% 51.19/51.43 rewrite <- zenon_D_pnotp.
% 51.19/51.43 exact zenon_H13c.
% 51.19/51.43 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H16c].
% 51.19/51.43 cut (((op2 (e20) (e20)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H2b4].
% 51.19/51.43 congruence.
% 51.19/51.43 exact (zenon_H2b4 zenon_H237).
% 51.19/51.43 apply zenon_H16c. apply refl_equal.
% 51.19/51.43 apply zenon_H1f6. apply refl_equal.
% 51.19/51.43 apply zenon_H1f6. apply refl_equal.
% 51.19/51.43 (* end of lemma zenon_L259_ *)
% 51.19/51.43 assert (zenon_L260_ : ((op2 (e20) (e20)) = (e20)) -> ((op2 (e20) (e20)) = (e23)) -> (~((e20) = (e23))) -> False).
% 51.19/51.43 do 0 intro. intros zenon_H13c zenon_H238 zenon_H205.
% 51.19/51.43 elim (classic ((e23) = (e23))); [ zenon_intro zenon_H1ad | zenon_intro zenon_H14c ].
% 51.19/51.43 cut (((e23) = (e23)) = ((e20) = (e23))).
% 51.19/51.43 intro zenon_D_pnotp.
% 51.19/51.43 apply zenon_H205.
% 51.19/51.43 rewrite <- zenon_D_pnotp.
% 51.19/51.43 exact zenon_H1ad.
% 51.19/51.43 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H14c].
% 51.19/51.43 cut (((e23) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H206].
% 51.19/51.43 congruence.
% 51.19/51.43 cut (((op2 (e20) (e20)) = (e20)) = ((e23) = (e20))).
% 51.19/51.43 intro zenon_D_pnotp.
% 51.19/51.43 apply zenon_H206.
% 51.19/51.43 rewrite <- zenon_D_pnotp.
% 51.19/51.43 exact zenon_H13c.
% 51.19/51.43 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H16c].
% 51.19/51.43 cut (((op2 (e20) (e20)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H23a].
% 51.19/51.43 congruence.
% 51.19/51.43 exact (zenon_H23a zenon_H238).
% 51.19/51.43 apply zenon_H16c. apply refl_equal.
% 51.19/51.43 apply zenon_H14c. apply refl_equal.
% 51.19/51.43 apply zenon_H14c. apply refl_equal.
% 51.19/51.43 (* end of lemma zenon_L260_ *)
% 51.19/51.43 assert (zenon_L261_ : ((op2 (e20) (e21)) = (e21)) -> ((op2 (e20) (e21)) = (e23)) -> (~((e21) = (e23))) -> False).
% 51.19/51.43 do 0 intro. intros zenon_H25e zenon_H244 zenon_H1f7.
% 51.19/51.43 elim (classic ((e23) = (e23))); [ zenon_intro zenon_H1ad | zenon_intro zenon_H14c ].
% 51.19/51.43 cut (((e23) = (e23)) = ((e21) = (e23))).
% 51.19/51.43 intro zenon_D_pnotp.
% 51.19/51.43 apply zenon_H1f7.
% 51.19/51.43 rewrite <- zenon_D_pnotp.
% 51.19/51.43 exact zenon_H1ad.
% 51.19/51.43 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H14c].
% 51.19/51.43 cut (((e23) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H239].
% 51.19/51.43 congruence.
% 51.19/51.43 cut (((op2 (e20) (e21)) = (e21)) = ((e23) = (e21))).
% 51.19/51.43 intro zenon_D_pnotp.
% 51.19/51.43 apply zenon_H239.
% 51.19/51.43 rewrite <- zenon_D_pnotp.
% 51.19/51.43 exact zenon_H25e.
% 51.19/51.43 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H1f6].
% 51.19/51.43 cut (((op2 (e20) (e21)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H2b5].
% 51.19/51.43 congruence.
% 51.19/51.43 exact (zenon_H2b5 zenon_H244).
% 51.19/51.43 apply zenon_H1f6. apply refl_equal.
% 51.19/51.43 apply zenon_H14c. apply refl_equal.
% 51.19/51.43 apply zenon_H14c. apply refl_equal.
% 51.19/51.43 (* end of lemma zenon_L261_ *)
% 51.19/51.43 assert (zenon_L262_ : (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e23)) -> ((op2 (e23) (e22)) = (e23)) -> False).
% 51.19/51.43 do 0 intro. intros zenon_H2b6 zenon_H256 zenon_H21d.
% 51.19/51.43 cut (((op2 (e20) (e22)) = (e23)) = ((op2 (e20) (e22)) = (op2 (e23) (e22)))).
% 51.19/51.43 intro zenon_D_pnotp.
% 51.19/51.43 apply zenon_H2b6.
% 51.19/51.43 rewrite <- zenon_D_pnotp.
% 51.19/51.43 exact zenon_H256.
% 51.19/51.43 cut (((e23) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H21e].
% 51.19/51.43 cut (((op2 (e20) (e22)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H159].
% 51.19/51.43 congruence.
% 51.19/51.43 apply zenon_H159. apply refl_equal.
% 51.19/51.43 apply zenon_H21e. apply sym_equal. exact zenon_H21d.
% 51.19/51.43 (* end of lemma zenon_L262_ *)
% 51.19/51.43 assert (zenon_L263_ : (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e20)) = (e22)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e23)) -> False).
% 51.19/51.43 do 0 intro. intros zenon_H24b zenon_H209 zenon_H14 zenon_H14e zenon_H23c zenon_H21c zenon_H21b zenon_H2b6 zenon_H256.
% 51.19/51.43 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H208 | zenon_intro zenon_H24c ].
% 51.19/51.43 apply (zenon_L153_); trivial.
% 51.19/51.43 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H23d | zenon_intro zenon_H24d ].
% 51.19/51.43 apply (zenon_L168_); trivial.
% 51.19/51.43 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H21d ].
% 51.19/51.43 apply (zenon_L157_); trivial.
% 51.19/51.43 apply (zenon_L262_); trivial.
% 51.19/51.43 (* end of lemma zenon_L263_ *)
% 51.19/51.43 assert (zenon_L264_ : (((op2 (op2 (e20) (e20)) (op2 (e20) (e20))) = (e20))/\(((op2 (op2 (e20) (e21)) (op2 (e20) (e21))) = (e21))/\(((op2 (op2 (e20) (e22)) (op2 (e20) (e22))) = (e22))/\((op2 (op2 (e20) (e23)) (op2 (e20) (e23))) = (e23))))) -> ((op2 (e20) (e23)) = (e22)) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> False).
% 51.19/51.43 do 0 intro. intros zenon_H1b0 zenon_H175 zenon_H256 zenon_H2b7.
% 51.19/51.43 apply (zenon_and_s _ _ zenon_H1b0). zenon_intro zenon_H1b3. zenon_intro zenon_H1b2.
% 51.19/51.43 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H1b5. zenon_intro zenon_H1b4.
% 51.19/51.43 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_H1b7. zenon_intro zenon_H1b6.
% 51.19/51.43 elim (classic ((op2 (e22) (e22)) = (op2 (e22) (e22)))); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H1a1 ].
% 51.19/51.43 cut (((op2 (e22) (e22)) = (op2 (e22) (e22))) = ((op2 (e20) (e22)) = (op2 (e22) (e22)))).
% 51.19/51.43 intro zenon_D_pnotp.
% 51.19/51.43 apply zenon_H2b7.
% 51.19/51.43 rewrite <- zenon_D_pnotp.
% 51.19/51.43 exact zenon_H1a0.
% 51.19/51.43 cut (((op2 (e22) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H1a1].
% 51.19/51.43 cut (((op2 (e22) (e22)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H2b8].
% 51.19/51.43 congruence.
% 51.19/51.43 cut (((op2 (op2 (e20) (e23)) (op2 (e20) (e23))) = (e23)) = ((op2 (e22) (e22)) = (op2 (e20) (e22)))).
% 51.19/51.43 intro zenon_D_pnotp.
% 51.19/51.43 apply zenon_H2b8.
% 51.19/51.43 rewrite <- zenon_D_pnotp.
% 51.19/51.43 exact zenon_H1b6.
% 51.19/51.43 cut (((e23) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H2b9].
% 51.19/51.43 cut (((op2 (op2 (e20) (e23)) (op2 (e20) (e23))) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H1e9].
% 51.19/51.43 congruence.
% 51.19/51.43 elim (classic ((op2 (e22) (e22)) = (op2 (e22) (e22)))); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H1a1 ].
% 51.19/51.43 cut (((op2 (e22) (e22)) = (op2 (e22) (e22))) = ((op2 (op2 (e20) (e23)) (op2 (e20) (e23))) = (op2 (e22) (e22)))).
% 51.19/51.43 intro zenon_D_pnotp.
% 51.19/51.43 apply zenon_H1e9.
% 51.19/51.43 rewrite <- zenon_D_pnotp.
% 51.19/51.43 exact zenon_H1a0.
% 51.19/51.43 cut (((op2 (e22) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H1a1].
% 51.19/51.43 cut (((op2 (e22) (e22)) = (op2 (op2 (e20) (e23)) (op2 (e20) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H1e4].
% 51.19/51.43 congruence.
% 51.19/51.43 apply (zenon_L139_); trivial.
% 51.19/51.43 apply zenon_H1a1. apply refl_equal.
% 51.19/51.43 apply zenon_H1a1. apply refl_equal.
% 51.19/51.43 apply zenon_H2b9. apply sym_equal. exact zenon_H256.
% 51.19/51.43 apply zenon_H1a1. apply refl_equal.
% 51.19/51.43 apply zenon_H1a1. apply refl_equal.
% 51.19/51.43 (* end of lemma zenon_L264_ *)
% 51.19/51.43 assert (zenon_L265_ : (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e20) (e22)) = (e23)) -> ((op2 (e20) (e23)) = (e22)) -> ((op2 (e23) (e20)) = (e23)) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e22) (e23)) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e22)) = (e22)) -> False).
% 51.19/51.43 do 0 intro. intros zenon_H2b7 zenon_H256 zenon_H175 zenon_H1cd zenon_H1a8 zenon_H1cc zenon_H1ec zenon_H1e7 zenon_H1d7 zenon_H1d8.
% 51.19/51.43 apply (zenon_or_s _ _ ax11); [ zenon_intro zenon_H1b0 | zenon_intro zenon_H1e2 ].
% 51.19/51.43 apply (zenon_L264_); trivial.
% 51.19/51.43 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H1bb | zenon_intro zenon_H1e3 ].
% 51.19/51.43 apply (zenon_L142_); trivial.
% 51.19/51.43 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H1cb | zenon_intro zenon_H1d6 ].
% 51.19/51.43 apply (zenon_L143_); trivial.
% 51.19/51.43 apply (zenon_L137_); trivial.
% 51.19/51.43 (* end of lemma zenon_L265_ *)
% 51.19/51.43 assert (zenon_L266_ : (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e22) = (e23))) -> (~((e20) = (e22))) -> ((op2 (e23) (e21)) = (e20)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e22) (e23)) = (e23)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e21) (e23)) = (e20)) -> ((op2 (e23) (e20)) = (e23)) -> ((op2 (e20) (e23)) = (e22)) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> False).
% 51.19/51.43 do 0 intro. intros zenon_H24e zenon_H1ac zenon_H16f zenon_H203 zenon_H1d7 zenon_H1e7 zenon_H1ec zenon_H1cc zenon_H1a8 zenon_H1cd zenon_H175 zenon_H256 zenon_H2b7 zenon_H15e zenon_H14 zenon_H195.
% 51.19/51.43 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_H21c | zenon_intro zenon_H24f ].
% 51.19/51.43 apply (zenon_L192_); trivial.
% 51.19/51.43 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H229 | zenon_intro zenon_H250 ].
% 51.19/51.43 apply (zenon_L162_); trivial.
% 51.19/51.43 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H194 ].
% 51.19/51.43 apply (zenon_L265_); trivial.
% 51.19/51.43 apply (zenon_L126_); trivial.
% 51.19/51.43 (* end of lemma zenon_L266_ *)
% 51.19/51.43 assert (zenon_L267_ : (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e22) = (e23))) -> (~((e20) = (e21))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((e20) = (e22))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e22) (e23)) = (e20)) -> ((op2 (e23) (e20)) = (e23)) -> ((op2 (e21) (e23)) = (e23)) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e20) (e23)) = (e22)) -> ((op2 (e22) (e23)) = (e23)) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> False).
% 51.19/51.43 do 0 intro. intros zenon_H24e zenon_H1ac zenon_H210 zenon_H14e zenon_H209 zenon_H16f zenon_H1fd zenon_H214 zenon_H1d7 zenon_H1cc zenon_H1c9 zenon_H1cd zenon_H1bc zenon_H1bd zenon_H1e6 zenon_H175 zenon_H1e7 zenon_H15e zenon_H14 zenon_H195.
% 51.19/51.43 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_H21c | zenon_intro zenon_H24f ].
% 51.19/51.43 apply (zenon_L192_); trivial.
% 51.19/51.43 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H229 | zenon_intro zenon_H250 ].
% 51.19/51.43 apply (zenon_L163_); trivial.
% 51.19/51.43 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H194 ].
% 51.19/51.43 apply (zenon_L146_); trivial.
% 51.19/51.43 apply (zenon_L126_); trivial.
% 51.19/51.43 (* end of lemma zenon_L267_ *)
% 51.19/51.43 assert (zenon_L268_ : (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e21)) = (e20)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e22) = (e23))) -> (~((e20) = (e21))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((e20) = (e22))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e22) (e23)) = (e20)) -> ((op2 (e23) (e20)) = (e23)) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e20) (e23)) = (e22)) -> ((op2 (e22) (e23)) = (e23)) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> False).
% 51.19/51.43 do 0 intro. intros zenon_H1f3 zenon_H2b7 zenon_H256 zenon_H1ec zenon_H203 zenon_H187 zenon_H24e zenon_H1ac zenon_H210 zenon_H14e zenon_H209 zenon_H16f zenon_H1fd zenon_H214 zenon_H1d7 zenon_H1cc zenon_H1c9 zenon_H1cd zenon_H1bd zenon_H1e6 zenon_H175 zenon_H1e7 zenon_H15e zenon_H14 zenon_H195.
% 51.19/51.43 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H1a8 | zenon_intro zenon_H1f4 ].
% 51.19/51.43 apply (zenon_L266_); trivial.
% 51.19/51.43 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H1f0 | zenon_intro zenon_H1f5 ].
% 51.19/51.43 apply (zenon_L145_); trivial.
% 51.19/51.43 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H186 | zenon_intro zenon_H1bc ].
% 51.19/51.43 apply (zenon_L124_); trivial.
% 51.19/51.43 apply (zenon_L267_); trivial.
% 51.19/51.43 (* end of lemma zenon_L268_ *)
% 51.19/51.43 assert (zenon_L269_ : (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((op2 (e22) (e23)) = (e23)) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e20)) = (e23)) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((e20) = (e22))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((e22) = (e23))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e23) (e21)) = (e20)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> ((e21) = (op2 (e23) (e23))) -> (~((e20) = (e21))) -> False).
% 51.19/51.43 do 0 intro. intros zenon_H22f zenon_H18e zenon_H19b zenon_H195 zenon_H14 zenon_H15e zenon_H1e7 zenon_H175 zenon_H1e6 zenon_H1bd zenon_H1cd zenon_H1cc zenon_H1d7 zenon_H214 zenon_H1fd zenon_H16f zenon_H209 zenon_H1ac zenon_H24e zenon_H187 zenon_H203 zenon_H1ec zenon_H256 zenon_H2b7 zenon_H1f3 zenon_H14e zenon_H210.
% 51.19/51.43 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H235 ].
% 51.19/51.43 apply (zenon_L183_); trivial.
% 51.19/51.43 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H1a8 | zenon_intro zenon_H236 ].
% 51.19/51.43 apply (zenon_L266_); trivial.
% 51.19/51.43 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1c9 | zenon_intro zenon_H20f ].
% 51.19/51.43 apply (zenon_L268_); trivial.
% 51.19/51.43 apply (zenon_L154_); trivial.
% 51.19/51.43 (* end of lemma zenon_L269_ *)
% 51.19/51.43 assert (zenon_L270_ : (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e22) = (e23))) -> (~((e20) = (e22))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e23) (e20)) = (e23)) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e20) (e23)) = (e22)) -> ((op2 (e22) (e23)) = (e23)) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (~((e20) = (e21))) -> False).
% 51.19/51.43 do 0 intro. intros zenon_H1f3 zenon_H2b7 zenon_H256 zenon_H1ec zenon_H187 zenon_H24e zenon_H1ac zenon_H16f zenon_H1fd zenon_H214 zenon_H1d7 zenon_H1cc zenon_H1cd zenon_H1bd zenon_H1e6 zenon_H175 zenon_H1e7 zenon_H15e zenon_H195 zenon_H19b zenon_H18e zenon_H22f zenon_H209 zenon_H14 zenon_H14e zenon_H210.
% 51.19/51.43 apply (zenon_or_s _ _ zenon_H214); [ zenon_intro zenon_H1fe | zenon_intro zenon_H215 ].
% 51.19/51.43 apply (zenon_L151_); trivial.
% 51.19/51.43 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H203 | zenon_intro zenon_H216 ].
% 51.19/51.43 apply (zenon_L269_); trivial.
% 51.19/51.43 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H208 | zenon_intro zenon_H20f ].
% 51.19/51.43 apply (zenon_L153_); trivial.
% 51.19/51.43 apply (zenon_L154_); trivial.
% 51.19/51.43 (* end of lemma zenon_L270_ *)
% 51.19/51.43 assert (zenon_L271_ : (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e22)) = (e22)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e22) = (e23))) -> (~((e20) = (e22))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e20) (e23)) = (e22)) -> ((op2 (e22) (e23)) = (e23)) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (~((e20) = (e21))) -> False).
% 51.19/51.43 do 0 intro. intros zenon_H21f zenon_H217 zenon_H1d8 zenon_H21b zenon_H1f3 zenon_H2b7 zenon_H256 zenon_H1ec zenon_H187 zenon_H24e zenon_H1ac zenon_H16f zenon_H1fd zenon_H214 zenon_H1d7 zenon_H1cc zenon_H1bd zenon_H1e6 zenon_H175 zenon_H1e7 zenon_H15e zenon_H195 zenon_H19b zenon_H18e zenon_H22f zenon_H209 zenon_H14 zenon_H14e zenon_H210.
% 51.19/51.43 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H1fe | zenon_intro zenon_H220 ].
% 51.19/51.43 apply (zenon_L151_); trivial.
% 51.19/51.43 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H218 | zenon_intro zenon_H221 ].
% 51.19/51.43 apply (zenon_L156_); trivial.
% 51.19/51.43 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H21c | zenon_intro zenon_H1cd ].
% 51.19/51.43 apply (zenon_L157_); trivial.
% 51.19/51.43 apply (zenon_L270_); trivial.
% 51.19/51.43 (* end of lemma zenon_L271_ *)
% 51.19/51.43 assert (zenon_L272_ : (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e20) = (e23))) -> ((op2 (e21) (e23)) = (e20)) -> (~((e20) = (e21))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((e20) = (e22))) -> (~((e22) = (e23))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e22)) = (e22)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((e21) = (e23))) -> ((e21) = (op2 (e23) (e23))) -> False).
% 51.19/51.43 do 0 intro. intros zenon_H1fa zenon_H205 zenon_H1a8 zenon_H210 zenon_H14 zenon_H209 zenon_H22f zenon_H18e zenon_H19b zenon_H195 zenon_H15e zenon_H175 zenon_H1e6 zenon_H1bd zenon_H1cc zenon_H1d7 zenon_H214 zenon_H1fd zenon_H16f zenon_H1ac zenon_H24e zenon_H187 zenon_H1ec zenon_H256 zenon_H2b7 zenon_H1f3 zenon_H21b zenon_H1d8 zenon_H217 zenon_H21f zenon_H1f7 zenon_H14e.
% 51.19/51.43 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H1ab | zenon_intro zenon_H1fb ].
% 51.19/51.43 apply (zenon_L132_); trivial.
% 51.19/51.43 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H1bc | zenon_intro zenon_H1fc ].
% 51.19/51.43 apply (zenon_L184_); trivial.
% 51.19/51.43 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H1f8 ].
% 51.19/51.43 apply (zenon_L271_); trivial.
% 51.19/51.43 apply (zenon_L149_); trivial.
% 51.19/51.43 (* end of lemma zenon_L272_ *)
% 51.19/51.43 assert (zenon_L273_ : ((e21) = (op2 (e23) (e23))) -> (~((e21) = (e23))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e22)) = (e22)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e22) = (e23))) -> (~((e20) = (e22))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((e20) = (e21))) -> ((op2 (e21) (e23)) = (e20)) -> (~((e20) = (e23))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> False).
% 51.19/51.43 do 0 intro. intros zenon_H14e zenon_H1f7 zenon_H21f zenon_H217 zenon_H1d8 zenon_H21b zenon_H1f3 zenon_H2b7 zenon_H256 zenon_H1ec zenon_H24e zenon_H1ac zenon_H16f zenon_H1fd zenon_H214 zenon_H1d7 zenon_H1cc zenon_H1bd zenon_H1e6 zenon_H19b zenon_H22f zenon_H209 zenon_H210 zenon_H1a8 zenon_H205 zenon_H1fa zenon_H187 zenon_H18e zenon_H15e zenon_H14 zenon_H195.
% 51.19/51.43 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H175 | zenon_intro zenon_H19c ].
% 51.19/51.43 apply (zenon_L272_); trivial.
% 51.19/51.43 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H186 | zenon_intro zenon_H19d ].
% 51.19/51.43 apply (zenon_L124_); trivial.
% 51.19/51.43 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H18d | zenon_intro zenon_H194 ].
% 51.19/51.43 apply (zenon_L125_); trivial.
% 51.19/51.43 apply (zenon_L126_); trivial.
% 51.19/51.43 (* end of lemma zenon_L273_ *)
% 51.19/51.43 assert (zenon_L274_ : (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e20) (e22)) = (e23)) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e23)) -> ((op2 (e23) (e20)) = (e23)) -> ((op2 (e22) (e23)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e22)) = (e22)) -> False).
% 51.19/51.43 do 0 intro. intros zenon_H2b7 zenon_H256 zenon_H175 zenon_H1bd zenon_H1bc zenon_H1cd zenon_H1c9 zenon_H1cc zenon_H1d7 zenon_H1d8.
% 51.19/51.43 apply (zenon_or_s _ _ ax11); [ zenon_intro zenon_H1b0 | zenon_intro zenon_H1e2 ].
% 51.19/51.43 apply (zenon_L264_); trivial.
% 51.19/51.43 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H1bb | zenon_intro zenon_H1e3 ].
% 51.19/51.43 apply (zenon_L134_); trivial.
% 51.19/51.43 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H1cb | zenon_intro zenon_H1d6 ].
% 51.19/51.43 apply (zenon_L136_); trivial.
% 51.19/51.43 apply (zenon_L137_); trivial.
% 51.19/51.43 (* end of lemma zenon_L274_ *)
% 51.19/51.43 assert (zenon_L275_ : (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e20) (e22)) = (e23)) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e23)) -> ((op2 (e22) (e23)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e22)) = (e22)) -> False).
% 51.19/51.43 do 0 intro. intros zenon_H21f zenon_H14 zenon_H1fd zenon_H14e zenon_H217 zenon_H21b zenon_H2b7 zenon_H256 zenon_H175 zenon_H1bd zenon_H1bc zenon_H1c9 zenon_H1cc zenon_H1d7 zenon_H1d8.
% 51.19/51.43 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H1fe | zenon_intro zenon_H220 ].
% 51.19/51.43 apply (zenon_L151_); trivial.
% 51.19/51.43 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H218 | zenon_intro zenon_H221 ].
% 51.19/51.43 apply (zenon_L156_); trivial.
% 51.19/51.43 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H21c | zenon_intro zenon_H1cd ].
% 51.19/51.43 apply (zenon_L157_); trivial.
% 51.19/51.43 apply (zenon_L274_); trivial.
% 51.19/51.43 (* end of lemma zenon_L275_ *)
% 51.19/51.43 assert (zenon_L276_ : (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e20) = (e23))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e20) = (e22))) -> (~((e22) = (e23))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((e21) = (e23))) -> ((op2 (e23) (e22)) = (e22)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e21) (e23)) = (e23)) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e22)) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> ((e21) = (op2 (e23) (e23))) -> (~((e20) = (e21))) -> False).
% 51.19/51.43 do 0 intro. intros zenon_H195 zenon_H15e zenon_H18e zenon_H187 zenon_H1fa zenon_H205 zenon_H209 zenon_H22f zenon_H19b zenon_H1e6 zenon_H214 zenon_H16f zenon_H1ac zenon_H24e zenon_H1ec zenon_H1f3 zenon_H1f7 zenon_H1d8 zenon_H1d7 zenon_H1cc zenon_H1bc zenon_H1bd zenon_H175 zenon_H256 zenon_H2b7 zenon_H21b zenon_H217 zenon_H1fd zenon_H14 zenon_H21f zenon_H14e zenon_H210.
% 51.19/51.43 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H235 ].
% 51.19/51.43 apply (zenon_L129_); trivial.
% 51.19/51.43 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H1a8 | zenon_intro zenon_H236 ].
% 51.19/51.43 apply (zenon_L273_); trivial.
% 51.19/51.43 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1c9 | zenon_intro zenon_H20f ].
% 51.19/51.43 apply (zenon_L275_); trivial.
% 51.19/51.43 apply (zenon_L154_); trivial.
% 51.19/51.43 (* end of lemma zenon_L276_ *)
% 51.19/51.43 assert (zenon_L277_ : (~((e20) = (e23))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e20) = (e21))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((e20) = (e22))) -> (~((e22) = (e23))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e22)) = (e22)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((e21) = (e23))) -> ((e21) = (op2 (e23) (e23))) -> False).
% 51.19/51.43 do 0 intro. intros zenon_H205 zenon_H1fa zenon_H210 zenon_H14 zenon_H209 zenon_H22f zenon_H18e zenon_H19b zenon_H195 zenon_H15e zenon_H175 zenon_H1e6 zenon_H1bd zenon_H1cc zenon_H1d7 zenon_H214 zenon_H1fd zenon_H16f zenon_H1ac zenon_H24e zenon_H187 zenon_H1ec zenon_H256 zenon_H2b7 zenon_H1f3 zenon_H21b zenon_H1d8 zenon_H217 zenon_H21f zenon_H1f7 zenon_H14e.
% 51.19/51.43 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H1ab | zenon_intro zenon_H1fb ].
% 51.19/51.43 apply (zenon_L194_); trivial.
% 51.19/51.43 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H1bc | zenon_intro zenon_H1fc ].
% 51.19/51.43 apply (zenon_L276_); trivial.
% 51.19/51.43 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H1f8 ].
% 51.19/51.43 apply (zenon_L271_); trivial.
% 51.19/51.43 apply (zenon_L149_); trivial.
% 51.19/51.43 (* end of lemma zenon_L277_ *)
% 51.19/51.43 assert (zenon_L278_ : (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> ((op2 (e23) (e21)) = (e20)) -> ((e21) = (op2 (e23) (e23))) -> (~((e21) = (e23))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e22) = (e23))) -> (~((e20) = (e22))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e20) (e23)) = (e22)) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((e20) = (e21))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e20) = (e23))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> False).
% 51.19/51.43 do 0 intro. intros zenon_H2b6 zenon_H23c zenon_H24b zenon_H203 zenon_H14e zenon_H1f7 zenon_H21f zenon_H217 zenon_H21b zenon_H1f3 zenon_H2b7 zenon_H256 zenon_H1ec zenon_H187 zenon_H24e zenon_H1ac zenon_H16f zenon_H1fd zenon_H214 zenon_H1d7 zenon_H1cc zenon_H1bd zenon_H1e6 zenon_H175 zenon_H19b zenon_H18e zenon_H22f zenon_H209 zenon_H210 zenon_H1fa zenon_H205 zenon_H15e zenon_H14 zenon_H195.
% 51.19/51.43 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_H21c | zenon_intro zenon_H24f ].
% 51.19/51.43 apply (zenon_L263_); trivial.
% 51.19/51.43 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H229 | zenon_intro zenon_H250 ].
% 51.19/51.43 apply (zenon_L162_); trivial.
% 51.19/51.43 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H194 ].
% 51.19/51.43 apply (zenon_L277_); trivial.
% 51.19/51.43 apply (zenon_L126_); trivial.
% 51.19/51.43 (* end of lemma zenon_L278_ *)
% 51.19/51.43 assert (zenon_L279_ : (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((e20) = (e23))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((e20) = (e22))) -> (~((e22) = (e23))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((e21) = (e23))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (~((e20) = (e21))) -> False).
% 51.19/51.43 do 0 intro. intros zenon_H195 zenon_H15e zenon_H205 zenon_H1fa zenon_H22f zenon_H18e zenon_H19b zenon_H175 zenon_H1e6 zenon_H1bd zenon_H1cc zenon_H1d7 zenon_H214 zenon_H1fd zenon_H16f zenon_H1ac zenon_H24e zenon_H187 zenon_H1ec zenon_H256 zenon_H2b7 zenon_H1f3 zenon_H21b zenon_H217 zenon_H21f zenon_H1f7 zenon_H24b zenon_H23c zenon_H2b6 zenon_H209 zenon_H14 zenon_H14e zenon_H210.
% 51.19/51.43 apply (zenon_or_s _ _ zenon_H214); [ zenon_intro zenon_H1fe | zenon_intro zenon_H215 ].
% 51.19/51.43 apply (zenon_L151_); trivial.
% 51.19/51.43 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H203 | zenon_intro zenon_H216 ].
% 51.19/51.43 apply (zenon_L278_); trivial.
% 51.19/51.43 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H208 | zenon_intro zenon_H20f ].
% 51.19/51.43 apply (zenon_L153_); trivial.
% 51.19/51.43 apply (zenon_L154_); trivial.
% 51.19/51.43 (* end of lemma zenon_L279_ *)
% 51.19/51.43 assert (zenon_L280_ : (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> ((op2 (e20) (e20)) = (e20)) -> ((op2 (e20) (e21)) = (e21)) -> (~((e20) = (e21))) -> ((e21) = (op2 (e23) (e23))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((e21) = (e23))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e20) = (e22))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e20) = (e23))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((e22) = (e23))) -> False).
% 51.19/51.43 do 0 intro. intros zenon_H28d zenon_H15d zenon_H164 zenon_H168 zenon_H258 zenon_H13c zenon_H25e zenon_H210 zenon_H14e zenon_H14 zenon_H209 zenon_H2b6 zenon_H23c zenon_H24b zenon_H1f7 zenon_H21f zenon_H217 zenon_H21b zenon_H1f3 zenon_H2b7 zenon_H1ec zenon_H187 zenon_H24e zenon_H16f zenon_H1fd zenon_H214 zenon_H1d7 zenon_H1cc zenon_H1bd zenon_H1e6 zenon_H19b zenon_H18e zenon_H22f zenon_H1fa zenon_H205 zenon_H15e zenon_H195 zenon_H1ac.
% 51.19/51.43 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H15f | zenon_intro zenon_H28f ].
% 51.19/51.43 apply (zenon_L116_); trivial.
% 51.19/51.43 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H165 | zenon_intro zenon_H290 ].
% 51.19/51.43 apply (zenon_L117_); trivial.
% 51.19/51.43 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H169 | zenon_intro zenon_H175 ].
% 51.19/51.43 apply (zenon_L118_); trivial.
% 51.19/51.43 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H238 | zenon_intro zenon_H25a ].
% 51.19/51.43 apply (zenon_L260_); trivial.
% 51.19/51.43 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H244 | zenon_intro zenon_H25b ].
% 51.19/51.43 apply (zenon_L261_); trivial.
% 51.19/51.43 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H256 | zenon_intro zenon_H1ab ].
% 51.19/51.43 apply (zenon_L279_); trivial.
% 51.19/51.43 apply (zenon_L132_); trivial.
% 51.19/51.43 (* end of lemma zenon_L280_ *)
% 51.19/51.43 assert (zenon_L281_ : (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((op1 (e10) (e11)) = (e12)) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> False).
% 51.19/51.43 do 0 intro. intros zenon_H2ba zenon_H2c zenon_H2bb zenon_H1c.
% 51.19/51.43 cut (((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) = ((op1 (e10) (e11)) = (op1 (e10) (e13)))).
% 51.19/51.43 intro zenon_D_pnotp.
% 51.19/51.43 apply zenon_H2ba.
% 51.19/51.43 rewrite <- zenon_D_pnotp.
% 51.19/51.43 exact zenon_H2c.
% 51.19/51.43 cut (((op1 (op1 (e13) (op1 (e13) (e13))) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H29].
% 51.19/51.43 cut (((e12) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H2bc].
% 51.19/51.43 congruence.
% 51.19/51.43 elim (classic ((op1 (e10) (e11)) = (op1 (e10) (e11)))); [ zenon_intro zenon_H1f | zenon_intro zenon_H20 ].
% 51.19/51.43 cut (((op1 (e10) (e11)) = (op1 (e10) (e11))) = ((e12) = (op1 (e10) (e11)))).
% 51.19/51.43 intro zenon_D_pnotp.
% 51.19/51.43 apply zenon_H2bc.
% 51.19/51.43 rewrite <- zenon_D_pnotp.
% 51.19/51.43 exact zenon_H1f.
% 51.19/51.43 cut (((op1 (e10) (e11)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H20].
% 51.19/51.43 cut (((op1 (e10) (e11)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H2bd].
% 51.19/51.43 congruence.
% 51.19/51.43 exact (zenon_H2bd zenon_H2bb).
% 51.19/51.43 apply zenon_H20. apply refl_equal.
% 51.19/51.43 apply zenon_H20. apply refl_equal.
% 51.19/51.43 apply (zenon_L6_); trivial.
% 51.19/51.43 (* end of lemma zenon_L281_ *)
% 51.19/51.43 assert (zenon_L282_ : (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((op1 (e10) (e12)) = (e12)) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> False).
% 51.19/51.43 do 0 intro. intros zenon_H2be zenon_H2c zenon_H2bf zenon_H1c.
% 51.19/51.43 cut (((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) = ((op1 (e10) (e12)) = (op1 (e10) (e13)))).
% 51.19/51.43 intro zenon_D_pnotp.
% 51.19/51.43 apply zenon_H2be.
% 51.19/51.43 rewrite <- zenon_D_pnotp.
% 51.19/51.43 exact zenon_H2c.
% 51.19/51.43 cut (((op1 (op1 (e13) (op1 (e13) (e13))) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H29].
% 51.19/51.43 cut (((e12) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H2c0].
% 51.19/51.43 congruence.
% 51.19/51.43 elim (classic ((op1 (e10) (e12)) = (op1 (e10) (e12)))); [ zenon_intro zenon_H25 | zenon_intro zenon_H26 ].
% 51.19/51.43 cut (((op1 (e10) (e12)) = (op1 (e10) (e12))) = ((e12) = (op1 (e10) (e12)))).
% 51.19/51.43 intro zenon_D_pnotp.
% 51.19/51.43 apply zenon_H2c0.
% 51.19/51.43 rewrite <- zenon_D_pnotp.
% 51.19/51.43 exact zenon_H25.
% 51.19/51.43 cut (((op1 (e10) (e12)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H26].
% 51.19/51.43 cut (((op1 (e10) (e12)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H2c1].
% 51.19/51.43 congruence.
% 51.19/51.43 exact (zenon_H2c1 zenon_H2bf).
% 51.19/51.43 apply zenon_H26. apply refl_equal.
% 51.19/51.43 apply zenon_H26. apply refl_equal.
% 51.19/51.43 apply (zenon_L6_); trivial.
% 51.19/51.43 (* end of lemma zenon_L282_ *)
% 51.19/51.43 assert (zenon_L283_ : (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((op1 (e11) (e11)) = (e10)) -> ((e11) = (op1 (e13) (e13))) -> False).
% 51.19/51.43 do 0 intro. intros zenon_H10e zenon_H1c zenon_H2c2 zenon_H19.
% 51.19/51.43 cut (((e10) = (op1 (e13) (op1 (e13) (e13)))) = ((op1 (e11) (e11)) = (op1 (e13) (e11)))).
% 51.19/51.43 intro zenon_D_pnotp.
% 51.19/51.43 apply zenon_H10e.
% 51.19/51.43 rewrite <- zenon_D_pnotp.
% 51.19/51.43 exact zenon_H1c.
% 51.19/51.43 cut (((op1 (e13) (op1 (e13) (e13))) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H18].
% 51.19/51.43 cut (((e10) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H2c3].
% 51.19/51.43 congruence.
% 51.19/51.43 elim (classic ((op1 (e11) (e11)) = (op1 (e11) (e11)))); [ zenon_intro zenon_H7a | zenon_intro zenon_H7b ].
% 51.19/51.43 cut (((op1 (e11) (e11)) = (op1 (e11) (e11))) = ((e10) = (op1 (e11) (e11)))).
% 51.19/51.43 intro zenon_D_pnotp.
% 51.19/51.43 apply zenon_H2c3.
% 51.19/51.43 rewrite <- zenon_D_pnotp.
% 51.19/51.43 exact zenon_H7a.
% 51.19/51.43 cut (((op1 (e11) (e11)) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H7b].
% 51.19/51.43 cut (((op1 (e11) (e11)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H2c4].
% 51.19/51.43 congruence.
% 51.19/51.43 exact (zenon_H2c4 zenon_H2c2).
% 51.19/51.43 apply zenon_H7b. apply refl_equal.
% 51.19/51.43 apply zenon_H7b. apply refl_equal.
% 51.19/51.43 apply (zenon_L3_); trivial.
% 51.19/51.43 (* end of lemma zenon_L283_ *)
% 51.19/51.43 assert (zenon_L284_ : (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (e11) (e10)) = (e12)) -> ((op1 (e11) (e11)) = (e12)) -> False).
% 51.19/51.43 do 0 intro. intros zenon_H2c5 zenon_H34 zenon_H2c6.
% 51.19/51.43 cut (((op1 (e11) (e10)) = (e12)) = ((op1 (e11) (e10)) = (op1 (e11) (e11)))).
% 51.19/51.43 intro zenon_D_pnotp.
% 51.19/51.43 apply zenon_H2c5.
% 51.19/51.43 rewrite <- zenon_D_pnotp.
% 51.19/51.43 exact zenon_H34.
% 51.19/51.43 cut (((e12) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H2c7].
% 51.19/51.43 cut (((op1 (e11) (e10)) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_Hf7].
% 51.19/51.43 congruence.
% 51.19/51.43 apply zenon_Hf7. apply refl_equal.
% 51.19/51.43 apply zenon_H2c7. apply sym_equal. exact zenon_H2c6.
% 51.19/51.43 (* end of lemma zenon_L284_ *)
% 51.19/51.43 assert (zenon_L285_ : (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((e10) = (e13))) -> ((op1 (e11) (e12)) = (e13)) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e11) (e13)) = (e10)) -> ((op1 (e13) (e10)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((e11) = (e13))) -> ((e11) = (op1 (e13) (e13))) -> False).
% 51.19/51.43 do 0 intro. intros zenon_Hb5 zenon_H4b zenon_H42 zenon_Ha3 zenon_Ha2 zenon_H9e zenon_H65 zenon_H50 zenon_H66 zenon_H95 zenon_H49 zenon_H3d zenon_H19.
% 51.19/51.43 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H4a | zenon_intro zenon_Hb6 ].
% 51.19/51.43 apply (zenon_L15_); trivial.
% 51.19/51.43 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H51 | zenon_intro zenon_Hb7 ].
% 51.19/51.43 apply (zenon_L17_); trivial.
% 51.19/51.43 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb3 ].
% 51.19/51.43 apply (zenon_L32_); trivial.
% 51.19/51.43 apply (zenon_L37_); trivial.
% 51.19/51.43 (* end of lemma zenon_L285_ *)
% 51.19/51.43 assert (zenon_L286_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e13))) -> ((op1 (e13) (e11)) = (e10)) -> ((op1 (e11) (e12)) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e13))) -> ((e11) = (op1 (e13) (e13))) -> False).
% 51.19/51.43 do 0 intro. intros zenon_Hcf zenon_H49 zenon_H95 zenon_H50 zenon_H65 zenon_H9e zenon_Ha2 zenon_H4b zenon_Hb5 zenon_H42 zenon_Hbe zenon_Ha3 zenon_Hcb zenon_H3d zenon_H19.
% 51.19/51.43 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H66 | zenon_intro zenon_Hd0 ].
% 51.19/51.43 apply (zenon_L285_); trivial.
% 51.19/51.43 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hd1 ].
% 51.19/51.43 apply (zenon_L40_); trivial.
% 51.19/51.43 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hb3 ].
% 51.19/51.43 apply (zenon_L43_); trivial.
% 51.19/51.43 apply (zenon_L37_); trivial.
% 51.19/51.43 (* end of lemma zenon_L286_ *)
% 51.19/51.43 assert (zenon_L287_ : (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((e11) = (op1 (e13) (e13))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e12)) = (e13)) -> ((op1 (e13) (e11)) = (e10)) -> (~((e10) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> False).
% 51.19/51.43 do 0 intro. intros zenon_Hde zenon_H19 zenon_H3d zenon_Hcb zenon_Ha3 zenon_Hbe zenon_H42 zenon_Hb5 zenon_H4b zenon_Ha2 zenon_H9e zenon_H65 zenon_H50 zenon_H95 zenon_Hcf zenon_Hab zenon_Hd3 zenon_H2c zenon_H1c zenon_Hda.
% 51.19/51.44 apply (zenon_or_s _ _ zenon_Hde); [ zenon_intro zenon_H49 | zenon_intro zenon_Hdf ].
% 51.19/51.44 apply (zenon_L286_); trivial.
% 51.19/51.44 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_Haa | zenon_intro zenon_He0 ].
% 51.19/51.44 apply (zenon_L34_); trivial.
% 51.19/51.44 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hd2 | zenon_intro zenon_Hd9 ].
% 51.19/51.44 apply (zenon_L45_); trivial.
% 51.19/51.44 apply (zenon_L46_); trivial.
% 51.19/51.44 (* end of lemma zenon_L287_ *)
% 51.19/51.44 assert (zenon_L288_ : (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e13))) -> ((op1 (e11) (e12)) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e13))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> False).
% 51.19/51.44 do 0 intro. intros zenon_Hc8 zenon_Hb8 zenon_Hda zenon_H2c zenon_Hd3 zenon_Hab zenon_Hcf zenon_H95 zenon_H50 zenon_H65 zenon_H9e zenon_Ha2 zenon_H4b zenon_Hb5 zenon_H42 zenon_Ha3 zenon_Hcb zenon_H3d zenon_Hde zenon_Hc2 zenon_H1c zenon_H19 zenon_H8c.
% 51.19/51.44 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hc9 ].
% 51.19/51.44 apply (zenon_L39_); trivial.
% 51.19/51.44 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hca ].
% 51.19/51.44 apply (zenon_L287_); trivial.
% 51.19/51.44 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H8b ].
% 51.19/51.44 apply (zenon_L41_); trivial.
% 51.19/51.44 apply (zenon_L24_); trivial.
% 51.19/51.44 (* end of lemma zenon_L288_ *)
% 51.19/51.44 assert (zenon_L289_ : ((op1 (e12) (e11)) = (e12)) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e10)) = (e13)) -> ((op1 (e12) (e13)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> ((op1 (e11) (e13)) = (e13)) -> False).
% 51.19/51.44 do 0 intro. intros zenon_H2c8 zenon_H11a zenon_H2c9 zenon_H54 zenon_H66 zenon_H62 zenon_H65 zenon_H72 zenon_H19 zenon_H51.
% 51.19/51.44 apply (zenon_or_s _ _ ax10); [ zenon_intro zenon_H7f | zenon_intro zenon_H7e ].
% 51.19/51.44 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H81. zenon_intro zenon_H80.
% 51.19/51.44 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_H83. zenon_intro zenon_H82.
% 51.19/51.44 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H85. zenon_intro zenon_H84.
% 51.19/51.44 cut (((op1 (op1 (e10) (e12)) (op1 (e10) (e12))) = (e12)) = ((op1 (e11) (e11)) = (op1 (e12) (e11)))).
% 51.19/51.44 intro zenon_D_pnotp.
% 51.19/51.44 apply zenon_H2c9.
% 51.19/51.44 rewrite <- zenon_D_pnotp.
% 51.19/51.44 exact zenon_H85.
% 51.19/51.44 cut (((e12) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H2ca].
% 51.19/51.44 cut (((op1 (op1 (e10) (e12)) (op1 (e10) (e12))) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H2cb].
% 51.19/51.44 congruence.
% 51.19/51.44 elim (classic ((op1 (e11) (e11)) = (op1 (e11) (e11)))); [ zenon_intro zenon_H7a | zenon_intro zenon_H7b ].
% 51.19/51.44 cut (((op1 (e11) (e11)) = (op1 (e11) (e11))) = ((op1 (op1 (e10) (e12)) (op1 (e10) (e12))) = (op1 (e11) (e11)))).
% 51.19/51.44 intro zenon_D_pnotp.
% 51.19/51.44 apply zenon_H2cb.
% 51.19/51.44 rewrite <- zenon_D_pnotp.
% 51.19/51.44 exact zenon_H7a.
% 51.19/51.44 cut (((op1 (e11) (e11)) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H7b].
% 51.19/51.44 cut (((op1 (e11) (e11)) = (op1 (op1 (e10) (e12)) (op1 (e10) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H2cc].
% 51.19/51.44 congruence.
% 51.19/51.44 cut (((e11) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H2cd].
% 51.19/51.44 cut (((e11) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H2cd].
% 51.19/51.44 congruence.
% 51.19/51.44 apply zenon_H2cd. apply sym_equal. exact zenon_H11a.
% 51.19/51.44 apply zenon_H2cd. apply sym_equal. exact zenon_H11a.
% 51.19/51.44 apply zenon_H7b. apply refl_equal.
% 51.19/51.44 apply zenon_H7b. apply refl_equal.
% 51.19/51.44 apply zenon_H2ca. apply sym_equal. exact zenon_H2c8.
% 51.19/51.44 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H53 | zenon_intro zenon_H8a ].
% 51.19/51.44 apply (zenon_L18_); trivial.
% 51.19/51.44 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H64 | zenon_intro zenon_H71 ].
% 51.19/51.44 apply (zenon_L20_); trivial.
% 51.19/51.44 apply (zenon_L22_); trivial.
% 51.19/51.44 (* end of lemma zenon_L289_ *)
% 51.19/51.44 assert (zenon_L290_ : (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> ((op1 (e12) (e13)) = (e10)) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e10) (e12)) = (e11)) -> ((op1 (e12) (e11)) = (e12)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (e13) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> ((op1 (e11) (e12)) = (e13)) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((e11) = (e13))) -> ((e11) = (op1 (e13) (e13))) -> False).
% 51.19/51.44 do 0 intro. intros zenon_Hb5 zenon_H4b zenon_H72 zenon_H62 zenon_H2c9 zenon_H11a zenon_H2c8 zenon_Haf zenon_H2c zenon_H1c zenon_Hab zenon_H54 zenon_H49 zenon_H95 zenon_H66 zenon_H65 zenon_H9e zenon_Ha2 zenon_Ha3 zenon_Hb0 zenon_H3d zenon_H19.
% 51.19/51.44 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H4a | zenon_intro zenon_Hb6 ].
% 51.19/51.44 apply (zenon_L15_); trivial.
% 51.19/51.44 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H51 | zenon_intro zenon_Hb7 ].
% 51.19/51.44 apply (zenon_L289_); trivial.
% 51.19/51.44 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb3 ].
% 51.19/51.44 apply (zenon_L36_); trivial.
% 51.19/51.44 apply (zenon_L37_); trivial.
% 51.19/51.44 (* end of lemma zenon_L290_ *)
% 51.19/51.44 assert (zenon_L291_ : (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e10) (e12)) = (e13)) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e10)) = (e13)) -> ((op1 (e12) (e13)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> ((op1 (e11) (e13)) = (e13)) -> False).
% 51.19/51.44 do 0 intro. intros zenon_H2ce zenon_He6 zenon_H49 zenon_H54 zenon_H66 zenon_H62 zenon_H65 zenon_H72 zenon_H19 zenon_H51.
% 51.19/51.44 apply (zenon_or_s _ _ ax10); [ zenon_intro zenon_H7f | zenon_intro zenon_H7e ].
% 51.19/51.44 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H81. zenon_intro zenon_H80.
% 51.19/51.44 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_H83. zenon_intro zenon_H82.
% 51.19/51.44 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H85. zenon_intro zenon_H84.
% 51.19/51.44 elim (classic ((op1 (e12) (e12)) = (op1 (e12) (e12)))); [ zenon_intro zenon_H99 | zenon_intro zenon_H9a ].
% 51.19/51.44 cut (((op1 (e12) (e12)) = (op1 (e12) (e12))) = ((op1 (e10) (e12)) = (op1 (e12) (e12)))).
% 51.19/51.44 intro zenon_D_pnotp.
% 51.19/51.44 apply zenon_H2ce.
% 51.19/51.44 rewrite <- zenon_D_pnotp.
% 51.19/51.44 exact zenon_H99.
% 51.19/51.44 cut (((op1 (e12) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H9a].
% 51.19/51.44 cut (((op1 (e12) (e12)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H2cf].
% 51.19/51.44 congruence.
% 51.19/51.44 cut (((op1 (op1 (e10) (e13)) (op1 (e10) (e13))) = (e13)) = ((op1 (e12) (e12)) = (op1 (e10) (e12)))).
% 51.19/51.44 intro zenon_D_pnotp.
% 51.19/51.44 apply zenon_H2cf.
% 51.19/51.44 rewrite <- zenon_D_pnotp.
% 51.19/51.44 exact zenon_H84.
% 51.19/51.44 cut (((e13) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H2d0].
% 51.19/51.44 cut (((op1 (op1 (e10) (e13)) (op1 (e10) (e13))) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H98].
% 51.19/51.44 congruence.
% 51.19/51.44 elim (classic ((op1 (e12) (e12)) = (op1 (e12) (e12)))); [ zenon_intro zenon_H99 | zenon_intro zenon_H9a ].
% 51.19/51.44 cut (((op1 (e12) (e12)) = (op1 (e12) (e12))) = ((op1 (op1 (e10) (e13)) (op1 (e10) (e13))) = (op1 (e12) (e12)))).
% 51.19/51.44 intro zenon_D_pnotp.
% 51.19/51.44 apply zenon_H98.
% 51.19/51.44 rewrite <- zenon_D_pnotp.
% 51.19/51.44 exact zenon_H99.
% 51.19/51.44 cut (((op1 (e12) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H9a].
% 51.19/51.44 cut (((op1 (e12) (e12)) = (op1 (op1 (e10) (e13)) (op1 (e10) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H93].
% 51.19/51.44 congruence.
% 51.19/51.44 apply (zenon_L26_); trivial.
% 51.19/51.44 apply zenon_H9a. apply refl_equal.
% 51.19/51.44 apply zenon_H9a. apply refl_equal.
% 51.19/51.44 apply zenon_H2d0. apply sym_equal. exact zenon_He6.
% 51.19/51.44 apply zenon_H9a. apply refl_equal.
% 51.19/51.44 apply zenon_H9a. apply refl_equal.
% 51.19/51.44 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H53 | zenon_intro zenon_H8a ].
% 51.19/51.44 apply (zenon_L18_); trivial.
% 51.19/51.44 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H64 | zenon_intro zenon_H71 ].
% 51.19/51.44 apply (zenon_L20_); trivial.
% 51.19/51.44 apply (zenon_L22_); trivial.
% 51.19/51.44 (* end of lemma zenon_L291_ *)
% 51.19/51.44 assert (zenon_L292_ : (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> ((op1 (e12) (e13)) = (e10)) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (e13) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> ((op1 (e11) (e12)) = (e13)) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((e11) = (e13))) -> ((e11) = (op1 (e13) (e13))) -> False).
% 51.19/51.44 do 0 intro. intros zenon_Hb5 zenon_H4b zenon_H72 zenon_H62 zenon_He6 zenon_H2ce zenon_Haf zenon_H2c zenon_H1c zenon_Hab zenon_H54 zenon_H49 zenon_H95 zenon_H66 zenon_H65 zenon_H9e zenon_Ha2 zenon_Ha3 zenon_Hb0 zenon_H3d zenon_H19.
% 51.19/51.44 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H4a | zenon_intro zenon_Hb6 ].
% 51.19/51.44 apply (zenon_L15_); trivial.
% 51.19/51.44 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H51 | zenon_intro zenon_Hb7 ].
% 51.19/51.44 apply (zenon_L291_); trivial.
% 51.19/51.44 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb3 ].
% 51.19/51.44 apply (zenon_L36_); trivial.
% 51.19/51.44 apply (zenon_L37_); trivial.
% 51.19/51.44 (* end of lemma zenon_L292_ *)
% 51.19/51.44 assert (zenon_L293_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e10) (e12)) = (e13)) -> ((op1 (e12) (e13)) = (e10)) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e13))) -> ((op1 (e13) (e11)) = (e10)) -> ((op1 (e11) (e12)) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e13))) -> ((e11) = (op1 (e13) (e13))) -> False).
% 51.19/51.44 do 0 intro. intros zenon_Hcf zenon_Hb0 zenon_Ha2 zenon_H9e zenon_H65 zenon_H95 zenon_H49 zenon_H54 zenon_Hab zenon_H1c zenon_H2c zenon_Haf zenon_H2ce zenon_He6 zenon_H62 zenon_H72 zenon_H4b zenon_Hb5 zenon_H42 zenon_Hbe zenon_Ha3 zenon_Hcb zenon_H3d zenon_H19.
% 51.19/51.44 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H66 | zenon_intro zenon_Hd0 ].
% 51.19/51.44 apply (zenon_L292_); trivial.
% 51.19/51.44 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hd1 ].
% 51.19/51.44 apply (zenon_L40_); trivial.
% 51.19/51.44 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hb3 ].
% 51.19/51.44 apply (zenon_L43_); trivial.
% 51.19/51.44 apply (zenon_L37_); trivial.
% 51.19/51.44 (* end of lemma zenon_L293_ *)
% 51.19/51.44 assert (zenon_L294_ : (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e12)) = (e13)) -> ((op1 (e13) (e11)) = (e10)) -> (~((e10) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> False).
% 51.19/51.44 do 0 intro. intros zenon_H90 zenon_H35 zenon_Hda zenon_Hd3 zenon_Hde zenon_H3d zenon_Hcb zenon_Ha3 zenon_Hbe zenon_H42 zenon_Hb5 zenon_H4b zenon_H72 zenon_He6 zenon_H2ce zenon_Haf zenon_H2c zenon_H1c zenon_Hab zenon_H54 zenon_H49 zenon_H95 zenon_H65 zenon_H9e zenon_Ha2 zenon_Hb0 zenon_Hcf zenon_H19 zenon_H8c.
% 51.19/51.44 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H4e | zenon_intro zenon_H91 ].
% 51.19/51.44 apply (zenon_L47_); trivial.
% 51.19/51.44 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H50 | zenon_intro zenon_H92 ].
% 51.19/51.44 apply (zenon_L287_); trivial.
% 51.19/51.44 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H62 | zenon_intro zenon_H8b ].
% 51.19/51.44 apply (zenon_L293_); trivial.
% 51.19/51.44 apply (zenon_L24_); trivial.
% 51.19/51.44 (* end of lemma zenon_L294_ *)
% 51.19/51.44 assert (zenon_L295_ : (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e13))) -> ((op1 (e11) (e12)) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e13))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> False).
% 51.19/51.44 do 0 intro. intros zenon_Hc8 zenon_Hb8 zenon_Hcf zenon_Hb0 zenon_Ha2 zenon_H9e zenon_H65 zenon_H95 zenon_H49 zenon_H54 zenon_Hab zenon_H2c zenon_Haf zenon_H2ce zenon_He6 zenon_H72 zenon_H4b zenon_Hb5 zenon_H42 zenon_Ha3 zenon_Hcb zenon_H3d zenon_Hde zenon_Hd3 zenon_Hda zenon_H35 zenon_H90 zenon_Hc2 zenon_H1c zenon_H19 zenon_H8c.
% 51.19/51.44 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hc9 ].
% 51.19/51.44 apply (zenon_L39_); trivial.
% 51.19/51.44 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hca ].
% 51.19/51.44 apply (zenon_L294_); trivial.
% 51.19/51.44 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H8b ].
% 51.19/51.44 apply (zenon_L41_); trivial.
% 51.19/51.44 apply (zenon_L24_); trivial.
% 51.19/51.44 (* end of lemma zenon_L295_ *)
% 51.19/51.44 assert (zenon_L296_ : (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((op1 (e11) (e12)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e13) (e10)) = (e13)) -> ((op1 (e12) (e11)) = (e12)) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e12) (e13)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e13))) -> ((op1 (e11) (e12)) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e13))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> False).
% 51.19/51.44 do 0 intro. intros zenon_H2d1 zenon_H126 zenon_H125 zenon_H66 zenon_H2c8 zenon_H2c9 zenon_H62 zenon_H2be zenon_Hc8 zenon_Hb8 zenon_Hcf zenon_Hb0 zenon_Ha2 zenon_H9e zenon_H65 zenon_H95 zenon_H49 zenon_H54 zenon_Hab zenon_H2c zenon_Haf zenon_H2ce zenon_H72 zenon_H4b zenon_Hb5 zenon_H42 zenon_Ha3 zenon_Hcb zenon_H3d zenon_Hde zenon_Hd3 zenon_Hda zenon_H35 zenon_H90 zenon_Hc2 zenon_H1c zenon_H19 zenon_H8c.
% 51.19/51.44 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H22 | zenon_intro zenon_H2d2 ].
% 51.19/51.44 apply (zenon_L100_); trivial.
% 51.19/51.44 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H11a | zenon_intro zenon_H2d3 ].
% 51.19/51.44 apply (zenon_L290_); trivial.
% 51.19/51.44 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H2bf | zenon_intro zenon_He6 ].
% 51.19/51.44 apply (zenon_L282_); trivial.
% 51.19/51.44 apply (zenon_L295_); trivial.
% 51.19/51.44 (* end of lemma zenon_L296_ *)
% 51.19/51.44 assert (zenon_L297_ : (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> ((op1 (e12) (e13)) = (e10)) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e12) (e11)) = (e12)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e11) (e12)) = (e10)) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((e10) = (e11))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e10) = (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op1 (e11) (e12)) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e13))) -> ((e11) = (op1 (e13) (e13))) -> False).
% 51.19/51.44 do 0 intro. intros zenon_H90 zenon_H35 zenon_Hda zenon_Hd3 zenon_Hde zenon_Hb5 zenon_H4b zenon_H72 zenon_H2ce zenon_Haf zenon_H2c zenon_Hab zenon_H54 zenon_H49 zenon_H95 zenon_H65 zenon_H9e zenon_Ha2 zenon_Hb0 zenon_Hcf zenon_H2be zenon_H62 zenon_H2c9 zenon_H2c8 zenon_H125 zenon_H126 zenon_H2d1 zenon_H8c zenon_H1c zenon_Hc2 zenon_H42 zenon_Hb8 zenon_Hc8 zenon_Ha3 zenon_Hcb zenon_H3d zenon_H19.
% 51.19/51.44 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H66 | zenon_intro zenon_Hd0 ].
% 51.19/51.44 apply (zenon_L296_); trivial.
% 51.19/51.44 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hd1 ].
% 51.19/51.44 apply (zenon_L42_); trivial.
% 51.19/51.44 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hb3 ].
% 51.19/51.44 apply (zenon_L43_); trivial.
% 51.19/51.44 apply (zenon_L37_); trivial.
% 51.19/51.44 (* end of lemma zenon_L297_ *)
% 51.19/51.44 assert (zenon_L298_ : (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e12)) = (e13)) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e13))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((op1 (e11) (e12)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e12) (e11)) = (e12)) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> False).
% 51.19/51.44 do 0 intro. intros zenon_H3d zenon_Hcb zenon_Ha3 zenon_Hc8 zenon_Hb8 zenon_H42 zenon_Hc2 zenon_H1c zenon_H2d1 zenon_H126 zenon_H125 zenon_H2c8 zenon_H2c9 zenon_H2be zenon_Hcf zenon_Hb0 zenon_Ha2 zenon_H9e zenon_H65 zenon_H95 zenon_H49 zenon_H54 zenon_Hab zenon_H2c zenon_Haf zenon_H2ce zenon_H72 zenon_H4b zenon_Hb5 zenon_Hde zenon_Hd3 zenon_Hda zenon_H35 zenon_H90 zenon_H19 zenon_H8c.
% 51.19/51.44 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H4e | zenon_intro zenon_H91 ].
% 51.19/51.44 apply (zenon_L16_); trivial.
% 51.19/51.44 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H50 | zenon_intro zenon_H92 ].
% 51.19/51.44 apply (zenon_L288_); trivial.
% 51.19/51.44 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H62 | zenon_intro zenon_H8b ].
% 51.19/51.44 apply (zenon_L297_); trivial.
% 51.19/51.44 apply (zenon_L24_); trivial.
% 51.19/51.44 (* end of lemma zenon_L298_ *)
% 51.19/51.44 assert (zenon_L299_ : (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (e10) (e10)) = (e11)) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((op1 (e11) (e11)) = (e13)) -> False).
% 51.19/51.44 do 0 intro. intros zenon_H2d4 zenon_H19 zenon_H1b zenon_H105 zenon_H3b zenon_H1c zenon_H2c zenon_H2ba zenon_H45 zenon_H47.
% 51.19/51.44 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_H1d | zenon_intro zenon_H2d5 ].
% 51.19/51.44 apply (zenon_L4_); trivial.
% 51.19/51.44 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H104 | zenon_intro zenon_H2d6 ].
% 51.19/51.44 apply (zenon_L73_); trivial.
% 51.19/51.44 apply (zenon_or_s _ _ zenon_H2d6); [ zenon_intro zenon_H2bb | zenon_intro zenon_H46 ].
% 51.19/51.44 apply (zenon_L281_); trivial.
% 51.19/51.44 apply (zenon_L13_); trivial.
% 51.19/51.44 (* end of lemma zenon_L299_ *)
% 51.19/51.44 assert (zenon_L300_ : (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((op1 (e11) (e10)) = (e12)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((op1 (e10) (e10)) = (e11)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> ((e11) = (op1 (e13) (e13))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e11)) = (e10)) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((op1 (e11) (e13)) = (e10)) -> (~((e10) = (e13))) -> False).
% 51.19/51.44 do 0 intro. intros zenon_Hf8 zenon_H34 zenon_H45 zenon_H2ba zenon_H2c zenon_H1c zenon_H3b zenon_H105 zenon_H1b zenon_H2d4 zenon_H19 zenon_H3d zenon_Hcb zenon_Hbe zenon_Hb5 zenon_H4b zenon_Ha2 zenon_H9e zenon_H65 zenon_H95 zenon_H49 zenon_Hcf zenon_H50 zenon_H42.
% 51.19/51.44 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H41 | zenon_intro zenon_Hf9 ].
% 51.19/51.44 apply (zenon_L86_); trivial.
% 51.19/51.44 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H47 | zenon_intro zenon_Hfa ].
% 51.19/51.44 apply (zenon_L299_); trivial.
% 51.19/51.44 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H51 ].
% 51.19/51.44 apply (zenon_L286_); trivial.
% 51.19/51.44 apply (zenon_L17_); trivial.
% 51.19/51.44 (* end of lemma zenon_L300_ *)
% 51.19/51.44 assert (zenon_L301_ : (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e12))) -> ((op1 (e10) (e13)) = (e12)) -> (~((e10) = (e13))) -> ((op1 (e11) (e13)) = (e13)) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e13) (e10)) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e10) (e12)) = (e11)) -> ((op1 (e12) (e11)) = (e12)) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> False).
% 51.19/51.44 do 0 intro. intros zenon_H90 zenon_H35 zenon_H49 zenon_H42 zenon_H51 zenon_H72 zenon_H65 zenon_H66 zenon_H54 zenon_H2c9 zenon_H11a zenon_H2c8 zenon_H19 zenon_H8c.
% 51.19/51.44 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H4e | zenon_intro zenon_H91 ].
% 51.19/51.44 apply (zenon_L16_); trivial.
% 51.19/51.44 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H50 | zenon_intro zenon_H92 ].
% 51.19/51.44 apply (zenon_L17_); trivial.
% 51.19/51.44 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H62 | zenon_intro zenon_H8b ].
% 51.19/51.44 apply (zenon_L289_); trivial.
% 51.19/51.44 apply (zenon_L24_); trivial.
% 51.19/51.44 (* end of lemma zenon_L301_ *)
% 51.19/51.44 assert (zenon_L302_ : (~((op1 (e13) (op1 (e13) (e13))) = (op1 (e11) (e12)))) -> ((op1 (e13) (e11)) = (e10)) -> ((e11) = (op1 (e13) (e13))) -> ((op1 (e11) (e12)) = (e10)) -> False).
% 51.19/51.44 do 0 intro. intros zenon_H2d7 zenon_Hbe zenon_H19 zenon_H126.
% 51.19/51.44 cut (((op1 (e13) (e11)) = (e10)) = ((op1 (e13) (op1 (e13) (e13))) = (op1 (e11) (e12)))).
% 51.19/51.44 intro zenon_D_pnotp.
% 51.19/51.44 apply zenon_H2d7.
% 51.19/51.44 rewrite <- zenon_D_pnotp.
% 51.19/51.44 exact zenon_Hbe.
% 51.19/51.44 cut (((e10) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H127].
% 51.19/51.44 cut (((op1 (e13) (e11)) = (op1 (e13) (op1 (e13) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H2d8].
% 51.19/51.44 congruence.
% 51.19/51.44 elim (classic ((op1 (e13) (op1 (e13) (e13))) = (op1 (e13) (op1 (e13) (e13))))); [ zenon_intro zenon_H2d9 | zenon_intro zenon_H2da ].
% 51.19/51.44 cut (((op1 (e13) (op1 (e13) (e13))) = (op1 (e13) (op1 (e13) (e13)))) = ((op1 (e13) (e11)) = (op1 (e13) (op1 (e13) (e13))))).
% 51.19/51.44 intro zenon_D_pnotp.
% 51.19/51.44 apply zenon_H2d8.
% 51.19/51.44 rewrite <- zenon_D_pnotp.
% 51.19/51.44 exact zenon_H2d9.
% 51.19/51.44 cut (((op1 (e13) (op1 (e13) (e13))) = (op1 (e13) (op1 (e13) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H2da].
% 51.19/51.44 cut (((op1 (e13) (op1 (e13) (e13))) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H18].
% 51.19/51.44 congruence.
% 51.19/51.44 apply (zenon_L3_); trivial.
% 51.19/51.44 apply zenon_H2da. apply refl_equal.
% 51.19/51.44 apply zenon_H2da. apply refl_equal.
% 51.19/51.44 apply zenon_H127. apply sym_equal. exact zenon_H126.
% 51.19/51.44 (* end of lemma zenon_L302_ *)
% 51.19/51.44 assert (zenon_L303_ : ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e10)) -> ((op1 (e13) (e11)) = (e10)) -> ((op1 (e11) (e12)) = (e10)) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> False).
% 51.19/51.44 do 0 intro. intros zenon_H1c zenon_H50 zenon_Hbe zenon_H126 zenon_H19 zenon_H2db.
% 51.19/51.44 elim (classic ((op1 (e11) (e13)) = (op1 (e11) (e13)))); [ zenon_intro zenon_Ha7 | zenon_intro zenon_Ha8 ].
% 51.19/51.44 cut (((op1 (e11) (e13)) = (op1 (e11) (e13))) = ((op1 (e11) (e12)) = (op1 (e11) (e13)))).
% 51.19/51.44 intro zenon_D_pnotp.
% 51.19/51.44 apply zenon_H2db.
% 51.19/51.44 rewrite <- zenon_D_pnotp.
% 51.19/51.44 exact zenon_Ha7.
% 51.19/51.44 cut (((op1 (e11) (e13)) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Ha8].
% 51.19/51.44 cut (((op1 (e11) (e13)) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H2dc].
% 51.19/51.44 congruence.
% 51.19/51.44 cut (((e10) = (op1 (e13) (op1 (e13) (e13)))) = ((op1 (e11) (e13)) = (op1 (e11) (e12)))).
% 51.19/51.44 intro zenon_D_pnotp.
% 51.19/51.44 apply zenon_H2dc.
% 51.19/51.44 rewrite <- zenon_D_pnotp.
% 51.19/51.44 exact zenon_H1c.
% 51.19/51.44 cut (((op1 (e13) (op1 (e13) (e13))) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H2d7].
% 51.19/51.44 cut (((e10) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H9c].
% 51.19/51.44 congruence.
% 51.19/51.44 elim (classic ((op1 (e11) (e13)) = (op1 (e11) (e13)))); [ zenon_intro zenon_Ha7 | zenon_intro zenon_Ha8 ].
% 51.19/51.44 cut (((op1 (e11) (e13)) = (op1 (e11) (e13))) = ((e10) = (op1 (e11) (e13)))).
% 51.19/51.44 intro zenon_D_pnotp.
% 51.19/51.44 apply zenon_H9c.
% 51.19/51.44 rewrite <- zenon_D_pnotp.
% 51.19/51.44 exact zenon_Ha7.
% 51.19/51.44 cut (((op1 (e11) (e13)) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Ha8].
% 51.19/51.44 cut (((op1 (e11) (e13)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H2dd].
% 51.19/51.44 congruence.
% 51.19/51.44 exact (zenon_H2dd zenon_H50).
% 51.19/51.44 apply zenon_Ha8. apply refl_equal.
% 51.19/51.44 apply zenon_Ha8. apply refl_equal.
% 51.19/51.44 apply (zenon_L302_); trivial.
% 51.19/51.44 apply zenon_Ha8. apply refl_equal.
% 51.19/51.44 apply zenon_Ha8. apply refl_equal.
% 51.19/51.44 (* end of lemma zenon_L303_ *)
% 51.19/51.44 assert (zenon_L304_ : (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e11) (e12)) = (e10)) -> ((op1 (e13) (e11)) = (e10)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e10) (e12)) = (e13)) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e10)) = (e13)) -> ((op1 (e12) (e13)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> False).
% 51.19/51.44 do 0 intro. intros zenon_Hb0 zenon_H2db zenon_H126 zenon_Hbe zenon_Hab zenon_H1c zenon_H2c zenon_H2ce zenon_He6 zenon_H49 zenon_H54 zenon_H66 zenon_H62 zenon_H65 zenon_H72 zenon_H19.
% 51.19/51.44 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H50 | zenon_intro zenon_Hb1 ].
% 51.19/51.44 apply (zenon_L303_); trivial.
% 51.19/51.44 apply (zenon_or_s _ _ zenon_Hb1); [ zenon_intro zenon_Ha5 | zenon_intro zenon_Hb2 ].
% 51.19/51.44 apply (zenon_L33_); trivial.
% 51.19/51.44 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_Haa | zenon_intro zenon_H51 ].
% 51.19/51.44 apply (zenon_L34_); trivial.
% 51.19/51.44 apply (zenon_L291_); trivial.
% 51.19/51.44 (* end of lemma zenon_L304_ *)
% 51.19/51.44 assert (zenon_L305_ : (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((e10) = (e11))) -> ((op1 (e12) (e11)) = (e12)) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e11) (e13)) = (e13)) -> (~((e10) = (e13))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e11) (e12)) = (e10)) -> ((op1 (e13) (e11)) = (e10)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e10)) = (e13)) -> ((op1 (e12) (e13)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> False).
% 51.19/51.44 do 0 intro. intros zenon_H2d1 zenon_H24 zenon_H23 zenon_H8c zenon_H2c8 zenon_H2c9 zenon_H51 zenon_H42 zenon_H35 zenon_H90 zenon_H2be zenon_Hb0 zenon_H2db zenon_H126 zenon_Hbe zenon_Hab zenon_H1c zenon_H2c zenon_H2ce zenon_H49 zenon_H54 zenon_H66 zenon_H62 zenon_H65 zenon_H72 zenon_H19.
% 51.19/51.44 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H22 | zenon_intro zenon_H2d2 ].
% 51.19/51.44 apply (zenon_L5_); trivial.
% 51.19/51.44 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H11a | zenon_intro zenon_H2d3 ].
% 51.19/51.44 apply (zenon_L301_); trivial.
% 51.19/51.44 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H2bf | zenon_intro zenon_He6 ].
% 51.19/51.44 apply (zenon_L282_); trivial.
% 51.19/51.44 apply (zenon_L304_); trivial.
% 51.19/51.44 (* end of lemma zenon_L305_ *)
% 51.19/51.44 assert (zenon_L306_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e13) (e11)) = (e10)) -> ((op1 (e11) (e12)) = (e10)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e12) (e11)) = (e12)) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((e10) = (e11))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e10) = (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e12) (e13)) = (e10)) -> ((op1 (e12) (e10)) = (e13)) -> ((op1 (e11) (e13)) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e13))) -> ((e11) = (op1 (e13) (e13))) -> False).
% 51.19/51.44 do 0 intro. intros zenon_Hcf zenon_H72 zenon_H65 zenon_H2ce zenon_H2c zenon_Hab zenon_Hbe zenon_H126 zenon_H2db zenon_Hb0 zenon_H2be zenon_H90 zenon_H35 zenon_H2c9 zenon_H2c8 zenon_H23 zenon_H24 zenon_H2d1 zenon_H8c zenon_H1c zenon_Hc2 zenon_H42 zenon_Hb8 zenon_Hc8 zenon_Hda zenon_H49 zenon_H7d zenon_H62 zenon_He2 zenon_H51 zenon_H54 zenon_He1 zenon_H3d zenon_H19.
% 51.19/51.44 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H66 | zenon_intro zenon_Hd0 ].
% 51.19/51.44 apply (zenon_L305_); trivial.
% 51.19/51.44 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hd1 ].
% 51.19/51.44 apply (zenon_L42_); trivial.
% 51.19/51.44 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hb3 ].
% 51.19/51.44 apply (zenon_L51_); trivial.
% 51.19/51.44 apply (zenon_L37_); trivial.
% 51.19/51.44 (* end of lemma zenon_L306_ *)
% 51.19/51.44 assert (zenon_L307_ : (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (e10) (e10)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((op1 (e11) (e10)) = (e12)) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e13)) -> ((op1 (e12) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e13))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (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) (e10)) = (e10)) -> ((op1 (e12) (e11)) = (e12)) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e11) (e12)) = (e10)) -> ((op1 (e13) (e11)) = (e10)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> False).
% 51.19/51.44 do 0 intro. intros zenon_Hd3 zenon_Hde zenon_H95 zenon_H9e zenon_Ha2 zenon_H4b zenon_Hb5 zenon_Hcb zenon_H2d4 zenon_H1b zenon_H105 zenon_H3b zenon_H2ba zenon_H45 zenon_H34 zenon_Hf8 zenon_H3d zenon_He1 zenon_H54 zenon_H51 zenon_He2 zenon_H7d zenon_H49 zenon_Hda zenon_Hc8 zenon_Hb8 zenon_H42 zenon_Hc2 zenon_H1c zenon_H2d1 zenon_H24 zenon_H23 zenon_H2c8 zenon_H2c9 zenon_H35 zenon_H90 zenon_H2be zenon_Hb0 zenon_H2db zenon_H126 zenon_Hbe zenon_Hab zenon_H2c zenon_H2ce zenon_H65 zenon_H72 zenon_Hcf zenon_H19 zenon_H8c.
% 51.19/51.44 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H4e | zenon_intro zenon_H91 ].
% 51.19/51.44 apply (zenon_L47_); trivial.
% 51.19/51.44 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H50 | zenon_intro zenon_H92 ].
% 51.19/51.44 apply (zenon_L300_); trivial.
% 51.19/51.44 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H62 | zenon_intro zenon_H8b ].
% 51.19/51.44 apply (zenon_L306_); trivial.
% 51.19/51.44 apply (zenon_L24_); trivial.
% 51.19/51.44 (* end of lemma zenon_L307_ *)
% 51.19/51.44 assert (zenon_L308_ : ((op1 (e13) (e11)) = (e10)) -> ((op1 (e13) (e11)) = (e12)) -> (~((e10) = (e12))) -> False).
% 51.19/51.44 do 0 intro. intros zenon_Hbe zenon_H2de zenon_H35.
% 51.19/51.44 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H36 | zenon_intro zenon_H37 ].
% 51.19/51.44 cut (((e12) = (e12)) = ((e10) = (e12))).
% 51.19/51.44 intro zenon_D_pnotp.
% 51.19/51.44 apply zenon_H35.
% 51.19/51.44 rewrite <- zenon_D_pnotp.
% 51.19/51.44 exact zenon_H36.
% 51.19/51.44 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H37].
% 51.19/51.44 cut (((e12) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H38].
% 51.19/51.44 congruence.
% 51.19/51.44 cut (((op1 (e13) (e11)) = (e10)) = ((e12) = (e10))).
% 51.19/51.44 intro zenon_D_pnotp.
% 51.19/51.44 apply zenon_H38.
% 51.19/51.44 rewrite <- zenon_D_pnotp.
% 51.19/51.44 exact zenon_Hbe.
% 51.19/51.44 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H32].
% 51.19/51.44 cut (((op1 (e13) (e11)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H2df].
% 51.19/51.44 congruence.
% 51.19/51.44 exact (zenon_H2df zenon_H2de).
% 51.19/51.44 apply zenon_H32. apply refl_equal.
% 51.19/51.44 apply zenon_H37. apply refl_equal.
% 51.19/51.44 apply zenon_H37. apply refl_equal.
% 51.19/51.44 (* end of lemma zenon_L308_ *)
% 51.19/51.44 assert (zenon_L309_ : (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e12))) -> ((op1 (e13) (e11)) = (e12)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> False).
% 51.19/51.44 do 0 intro. intros zenon_Hc8 zenon_Hb8 zenon_H35 zenon_H2de zenon_Hc2 zenon_H1c zenon_H19 zenon_H8c.
% 51.19/51.44 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hc9 ].
% 51.19/51.44 apply (zenon_L39_); trivial.
% 51.19/51.44 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hca ].
% 51.19/51.44 apply (zenon_L308_); trivial.
% 51.19/51.44 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H8b ].
% 51.19/51.44 apply (zenon_L41_); trivial.
% 51.19/51.44 apply (zenon_L24_); trivial.
% 51.19/51.44 (* end of lemma zenon_L309_ *)
% 51.19/51.44 assert (zenon_L310_ : (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e10) (e10)) = (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)) = (e12)) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e12) (e10)) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((op1 (e10) (e10)) = (e11)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((op1 (e11) (e10)) = (e12)) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((e10) = (e11))) -> ((e11) = (op1 (e13) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e13))) -> False).
% 51.19/51.44 do 0 intro. intros zenon_H2e0 zenon_H10e zenon_H35 zenon_Haf zenon_H125 zenon_H72 zenon_H2ce zenon_H2db zenon_Hb0 zenon_H2be zenon_H90 zenon_H2c9 zenon_H23 zenon_H24 zenon_H2d1 zenon_H49 zenon_H7d zenon_He2 zenon_H54 zenon_He1 zenon_H2ba zenon_H3b zenon_H105 zenon_H1b zenon_H2d4 zenon_H2c5 zenon_H2e1 zenon_Hf8 zenon_H34 zenon_H46 zenon_H45 zenon_H8c zenon_H19 zenon_H1c zenon_Hc2 zenon_Hde zenon_H3d zenon_Hcb zenon_Hb5 zenon_H4b zenon_Ha2 zenon_H9e zenon_H65 zenon_H95 zenon_Hcf zenon_Hab zenon_Hd3 zenon_H2c zenon_Hda zenon_Hb8 zenon_Hc8 zenon_H42.
% 51.19/51.44 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H33 | zenon_intro zenon_H2e2 ].
% 51.19/51.44 apply (zenon_L9_); trivial.
% 51.19/51.44 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2e3 ].
% 51.19/51.44 apply (zenon_L283_); trivial.
% 51.19/51.44 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H126 | zenon_intro zenon_H50 ].
% 51.19/51.44 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H2bb | zenon_intro zenon_H2e4 ].
% 51.19/51.44 apply (zenon_L281_); trivial.
% 51.19/51.44 apply (zenon_or_s _ _ zenon_H2e4); [ zenon_intro zenon_H2c6 | zenon_intro zenon_H2e5 ].
% 51.19/51.44 apply (zenon_L284_); trivial.
% 51.19/51.44 apply (zenon_or_s _ _ zenon_H2e5); [ zenon_intro zenon_H2c8 | zenon_intro zenon_H2de ].
% 51.19/51.44 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H41 | zenon_intro zenon_Hf9 ].
% 51.19/51.44 apply (zenon_L86_); trivial.
% 51.19/51.44 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H47 | zenon_intro zenon_Hfa ].
% 51.19/51.44 apply (zenon_L13_); trivial.
% 51.19/51.44 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H51 ].
% 51.19/51.44 apply (zenon_L298_); trivial.
% 51.19/51.44 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hc9 ].
% 51.19/51.44 apply (zenon_L39_); trivial.
% 51.19/51.44 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hca ].
% 51.19/51.44 apply (zenon_L307_); trivial.
% 51.19/51.44 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H8b ].
% 51.19/51.44 apply (zenon_L41_); trivial.
% 51.19/51.44 apply (zenon_L24_); trivial.
% 51.19/51.44 apply (zenon_L309_); trivial.
% 51.19/51.44 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H41 | zenon_intro zenon_Hf9 ].
% 51.19/51.44 apply (zenon_L86_); trivial.
% 51.19/51.44 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H47 | zenon_intro zenon_Hfa ].
% 51.19/51.44 apply (zenon_L13_); trivial.
% 51.19/51.44 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H51 ].
% 51.19/51.44 apply (zenon_L288_); trivial.
% 51.19/51.44 apply (zenon_L17_); trivial.
% 51.19/51.44 (* end of lemma zenon_L310_ *)
% 51.19/51.44 assert (zenon_L311_ : ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e12)) = (e13)) -> (~((e10) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e12) (e11)) = (e12)) -> ((op1 (e13) (e10)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e11) (e12)) = (e10)) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> False).
% 51.19/51.44 do 0 intro. intros zenon_H1c zenon_Hc2 zenon_H90 zenon_H35 zenon_Hda zenon_Hd3 zenon_Hde zenon_H3d zenon_Hcb zenon_Ha3 zenon_H42 zenon_Hb5 zenon_H4b zenon_H72 zenon_H2ce zenon_Haf zenon_H2c zenon_Hab zenon_H54 zenon_H49 zenon_H95 zenon_H65 zenon_H9e zenon_Ha2 zenon_Hb0 zenon_Hcf zenon_Hb8 zenon_Hc8 zenon_H2be zenon_H2c9 zenon_H2c8 zenon_H66 zenon_H125 zenon_H126 zenon_H2d1 zenon_H19 zenon_H8c.
% 51.19/51.44 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H4e | zenon_intro zenon_H91 ].
% 51.19/51.44 apply (zenon_L47_); trivial.
% 51.19/51.44 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H50 | zenon_intro zenon_H92 ].
% 51.19/51.44 apply (zenon_L285_); trivial.
% 51.19/51.44 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H62 | zenon_intro zenon_H8b ].
% 51.19/51.44 apply (zenon_L296_); trivial.
% 51.19/51.44 apply (zenon_L24_); trivial.
% 51.19/51.44 (* end of lemma zenon_L311_ *)
% 51.19/51.44 assert (zenon_L312_ : (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e13) (e10)) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e13) (e11)) = (e10)) -> ((op1 (e11) (e12)) = (e10)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e12))) -> (~((e10) = (e13))) -> ((op1 (e11) (e13)) = (e13)) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e12) (e11)) = (e12)) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> False).
% 51.19/51.44 do 0 intro. intros zenon_H72 zenon_H65 zenon_H66 zenon_H54 zenon_H49 zenon_H2ce zenon_H2c zenon_H1c zenon_Hab zenon_Hbe zenon_H126 zenon_H2db zenon_Hb0 zenon_H2be zenon_H90 zenon_H35 zenon_H42 zenon_H51 zenon_H2c9 zenon_H2c8 zenon_H23 zenon_H24 zenon_H2d1 zenon_H19 zenon_H8c.
% 51.19/51.44 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H4e | zenon_intro zenon_H91 ].
% 51.19/51.44 apply (zenon_L16_); trivial.
% 51.19/51.44 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H50 | zenon_intro zenon_H92 ].
% 51.19/51.44 apply (zenon_L17_); trivial.
% 51.19/51.44 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H62 | zenon_intro zenon_H8b ].
% 51.19/51.44 apply (zenon_L305_); trivial.
% 51.19/51.44 apply (zenon_L24_); trivial.
% 51.19/51.44 (* end of lemma zenon_L312_ *)
% 51.19/51.44 assert (zenon_L313_ : (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e13) (e10)) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e11) (e12)) = (e10)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e13))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e10) (e10)) = (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 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((op1 (e10) (e11)) = (e13)) -> ((op1 (e11) (e10)) = (e12)) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e12))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> False).
% 51.19/51.44 do 0 intro. intros zenon_H2e1 zenon_H2ba zenon_H2c5 zenon_H72 zenon_H65 zenon_H66 zenon_H54 zenon_H49 zenon_H2ce zenon_H2c zenon_Hab zenon_H126 zenon_H2db zenon_Hb0 zenon_H2be zenon_H90 zenon_H42 zenon_H2c9 zenon_H23 zenon_H24 zenon_H2d1 zenon_Hda zenon_Hd3 zenon_Hde zenon_H3d zenon_Hcb zenon_Hb5 zenon_H4b zenon_Haf zenon_H95 zenon_H9e zenon_Ha2 zenon_Hcf zenon_H125 zenon_H45 zenon_H46 zenon_H34 zenon_Hf8 zenon_Hc8 zenon_Hb8 zenon_H35 zenon_Hc2 zenon_H1c zenon_H19 zenon_H8c.
% 51.19/51.44 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H2bb | zenon_intro zenon_H2e4 ].
% 51.19/51.44 apply (zenon_L281_); trivial.
% 51.19/51.44 apply (zenon_or_s _ _ zenon_H2e4); [ zenon_intro zenon_H2c6 | zenon_intro zenon_H2e5 ].
% 51.19/51.44 apply (zenon_L284_); trivial.
% 51.19/51.44 apply (zenon_or_s _ _ zenon_H2e5); [ zenon_intro zenon_H2c8 | zenon_intro zenon_H2de ].
% 51.19/51.44 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H41 | zenon_intro zenon_Hf9 ].
% 51.19/51.44 apply (zenon_L86_); trivial.
% 51.19/51.44 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H47 | zenon_intro zenon_Hfa ].
% 51.19/51.44 apply (zenon_L13_); trivial.
% 51.19/51.44 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H51 ].
% 51.19/51.44 apply (zenon_L311_); trivial.
% 51.19/51.44 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hc9 ].
% 51.19/51.44 apply (zenon_L39_); trivial.
% 51.19/51.44 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hca ].
% 51.19/51.44 apply (zenon_L312_); trivial.
% 51.19/51.44 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H8b ].
% 51.19/51.44 apply (zenon_L41_); trivial.
% 51.19/51.44 apply (zenon_L24_); trivial.
% 51.19/51.44 apply (zenon_L309_); trivial.
% 51.19/51.44 (* end of lemma zenon_L313_ *)
% 51.19/51.44 assert (zenon_L314_ : (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((op1 (e11) (e10)) = (e12)) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((e11) = (op1 (e13) (e13))) -> (~((e11) = (e13))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (e13) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((op1 (e11) (e13)) = (e10)) -> (~((e10) = (e13))) -> False).
% 51.19/51.44 do 0 intro. intros zenon_Hf8 zenon_H34 zenon_H46 zenon_H45 zenon_H19 zenon_H3d zenon_H49 zenon_H95 zenon_H66 zenon_H65 zenon_H9e zenon_Ha2 zenon_H4b zenon_Hb5 zenon_H50 zenon_H42.
% 51.19/51.44 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H41 | zenon_intro zenon_Hf9 ].
% 51.19/51.44 apply (zenon_L86_); trivial.
% 51.19/51.44 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H47 | zenon_intro zenon_Hfa ].
% 51.19/51.44 apply (zenon_L13_); trivial.
% 51.19/51.44 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H51 ].
% 51.19/51.44 apply (zenon_L285_); trivial.
% 51.19/51.44 apply (zenon_L17_); trivial.
% 51.19/51.44 (* end of lemma zenon_L314_ *)
% 51.19/51.44 assert (zenon_L315_ : (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e10) = (e12))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (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) (e10)) = (e10)) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((op1 (e11) (e10)) = (e12)) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((e11) = (op1 (e13) (e13))) -> (~((e11) = (e13))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (e13) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e13))) -> False).
% 51.19/51.44 do 0 intro. intros zenon_H2e0 zenon_H10e zenon_H8c zenon_H1c zenon_Hc2 zenon_H35 zenon_Hb8 zenon_Hc8 zenon_H125 zenon_Hcf zenon_Haf zenon_Hcb zenon_Hde zenon_Hd3 zenon_Hda zenon_H2d1 zenon_H24 zenon_H23 zenon_H2c9 zenon_H90 zenon_H2be zenon_Hb0 zenon_H2db zenon_Hab zenon_H2c zenon_H2ce zenon_H54 zenon_H72 zenon_H2c5 zenon_H2ba zenon_H2e1 zenon_Hf8 zenon_H34 zenon_H46 zenon_H45 zenon_H19 zenon_H3d zenon_H49 zenon_H95 zenon_H66 zenon_H65 zenon_H9e zenon_Ha2 zenon_H4b zenon_Hb5 zenon_H42.
% 51.19/51.44 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H33 | zenon_intro zenon_H2e2 ].
% 51.19/51.44 apply (zenon_L9_); trivial.
% 51.19/51.44 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2e3 ].
% 51.19/51.44 apply (zenon_L283_); trivial.
% 51.19/51.44 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H126 | zenon_intro zenon_H50 ].
% 51.19/51.44 apply (zenon_L313_); trivial.
% 51.19/51.44 apply (zenon_L314_); trivial.
% 51.19/51.44 (* end of lemma zenon_L315_ *)
% 51.19/51.44 assert (zenon_L316_ : (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (e10) (e10)) = (e11)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e10) = (e12))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (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) (e10)) = (e10)) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((op1 (e11) (e10)) = (e12)) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((e11) = (op1 (e13) (e13))) -> (~((e11) = (e13))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e13))) -> False).
% 51.19/51.44 do 0 intro. intros zenon_Hfb zenon_H2d4 zenon_H1b zenon_H105 zenon_H3b zenon_He1 zenon_H7d zenon_H2e0 zenon_H10e zenon_H8c zenon_H1c zenon_Hc2 zenon_H35 zenon_Hb8 zenon_Hc8 zenon_H125 zenon_Hcf zenon_Haf zenon_Hcb zenon_Hde zenon_Hd3 zenon_Hda zenon_H2d1 zenon_H24 zenon_H23 zenon_H2c9 zenon_H90 zenon_H2be zenon_Hb0 zenon_H2db zenon_Hab zenon_H2c zenon_H2ce zenon_H54 zenon_H72 zenon_H2c5 zenon_H2ba zenon_H2e1 zenon_Hf8 zenon_H34 zenon_H46 zenon_H45 zenon_H19 zenon_H3d zenon_H49 zenon_H95 zenon_H65 zenon_H9e zenon_Ha2 zenon_H4b zenon_Hb5 zenon_H42.
% 51.19/51.44 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hfc ].
% 51.19/51.44 apply (zenon_L11_); trivial.
% 51.19/51.44 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H41 | zenon_intro zenon_Hfd ].
% 51.19/51.44 apply (zenon_L86_); trivial.
% 51.19/51.44 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_He2 | zenon_intro zenon_H66 ].
% 51.19/51.44 apply (zenon_L310_); trivial.
% 51.19/51.44 apply (zenon_L315_); trivial.
% 51.19/51.44 (* end of lemma zenon_L316_ *)
% 51.19/51.44 assert (zenon_L317_ : ((op1 (e10) (e10)) = (e10)) -> ((op1 (e10) (e10)) = (e13)) -> (~((e10) = (e13))) -> False).
% 51.19/51.44 do 0 intro. intros zenon_H23 zenon_H3c zenon_H42.
% 51.19/51.44 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H3e | zenon_intro zenon_H17 ].
% 51.27/51.44 cut (((e13) = (e13)) = ((e10) = (e13))).
% 51.27/51.44 intro zenon_D_pnotp.
% 51.27/51.44 apply zenon_H42.
% 51.27/51.44 rewrite <- zenon_D_pnotp.
% 51.27/51.44 exact zenon_H3e.
% 51.27/51.44 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H17].
% 51.27/51.44 cut (((e13) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H43].
% 51.27/51.44 congruence.
% 51.27/51.44 cut (((op1 (e10) (e10)) = (e10)) = ((e13) = (e10))).
% 51.27/51.44 intro zenon_D_pnotp.
% 51.27/51.44 apply zenon_H43.
% 51.27/51.44 rewrite <- zenon_D_pnotp.
% 51.27/51.44 exact zenon_H23.
% 51.27/51.44 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H32].
% 51.27/51.44 cut (((op1 (e10) (e10)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H40].
% 51.27/51.44 congruence.
% 51.27/51.44 exact (zenon_H40 zenon_H3c).
% 51.27/51.44 apply zenon_H32. apply refl_equal.
% 51.27/51.44 apply zenon_H17. apply refl_equal.
% 51.27/51.44 apply zenon_H17. apply refl_equal.
% 51.27/51.44 (* end of lemma zenon_L317_ *)
% 51.27/51.44 assert (zenon_L318_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((e10) = (e13))) -> ((op1 (e13) (e11)) = (e10)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e12) (e13)) = (e10)) -> ((op1 (e12) (e10)) = (e13)) -> ((op1 (e11) (e13)) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e13))) -> ((e11) = (op1 (e13) (e13))) -> False).
% 51.27/51.44 do 0 intro. intros zenon_Hcf zenon_H72 zenon_H65 zenon_He6 zenon_H2ce zenon_H42 zenon_Hbe zenon_Hda zenon_H49 zenon_H7d zenon_H62 zenon_He2 zenon_H51 zenon_H54 zenon_He1 zenon_H3d zenon_H19.
% 51.27/51.44 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H66 | zenon_intro zenon_Hd0 ].
% 51.27/51.44 apply (zenon_L291_); trivial.
% 51.27/51.44 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hd1 ].
% 51.27/51.44 apply (zenon_L40_); trivial.
% 51.27/51.44 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hb3 ].
% 51.27/51.44 apply (zenon_L51_); trivial.
% 51.27/51.44 apply (zenon_L37_); trivial.
% 51.27/51.44 (* end of lemma zenon_L318_ *)
% 51.27/51.44 assert (zenon_L319_ : (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e13)) -> ((op1 (e12) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e11)) = (e10)) -> (~((e10) = (e13))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> False).
% 51.27/51.44 do 0 intro. intros zenon_H90 zenon_H1c zenon_H2c zenon_Hd3 zenon_Hab zenon_H35 zenon_Hde zenon_H3d zenon_He1 zenon_H54 zenon_H51 zenon_He2 zenon_H7d zenon_H49 zenon_Hda zenon_Hbe zenon_H42 zenon_H2ce zenon_He6 zenon_H65 zenon_H72 zenon_Hcf zenon_H19 zenon_H8c.
% 51.27/51.44 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H4e | zenon_intro zenon_H91 ].
% 51.27/51.44 apply (zenon_L47_); trivial.
% 51.27/51.44 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H50 | zenon_intro zenon_H92 ].
% 51.27/51.44 apply (zenon_L17_); trivial.
% 51.27/51.44 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H62 | zenon_intro zenon_H8b ].
% 51.27/51.44 apply (zenon_L318_); trivial.
% 51.27/51.44 apply (zenon_L24_); trivial.
% 51.27/51.44 (* end of lemma zenon_L319_ *)
% 51.27/51.44 assert (zenon_L320_ : (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e12) (e10)) = (e13)) -> ((op1 (e11) (e13)) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e13))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> False).
% 51.27/51.44 do 0 intro. intros zenon_Hc8 zenon_Hb8 zenon_Hcf zenon_H72 zenon_H65 zenon_He6 zenon_H2ce zenon_H42 zenon_Hda zenon_H49 zenon_H7d zenon_He2 zenon_H51 zenon_H54 zenon_He1 zenon_H3d zenon_Hde zenon_H35 zenon_Hab zenon_Hd3 zenon_H2c zenon_H90 zenon_Hc2 zenon_H1c zenon_H19 zenon_H8c.
% 51.27/51.44 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hc9 ].
% 51.27/51.44 apply (zenon_L39_); trivial.
% 51.27/51.44 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hca ].
% 51.27/51.44 apply (zenon_L319_); trivial.
% 51.27/51.44 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H8b ].
% 51.27/51.44 apply (zenon_L41_); trivial.
% 51.27/51.44 apply (zenon_L24_); trivial.
% 51.27/51.44 (* end of lemma zenon_L320_ *)
% 51.27/51.44 assert (zenon_L321_ : (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e12))) -> (~((e10) = (e13))) -> ((op1 (e11) (e13)) = (e13)) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e13) (e10)) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> False).
% 51.27/51.44 do 0 intro. intros zenon_H90 zenon_H35 zenon_H42 zenon_H51 zenon_H72 zenon_H65 zenon_H66 zenon_H54 zenon_H49 zenon_He6 zenon_H2ce zenon_H19 zenon_H8c.
% 51.27/51.44 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H4e | zenon_intro zenon_H91 ].
% 51.27/51.44 apply (zenon_L16_); trivial.
% 51.27/51.44 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H50 | zenon_intro zenon_H92 ].
% 51.27/51.44 apply (zenon_L17_); trivial.
% 51.27/51.44 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H62 | zenon_intro zenon_H8b ].
% 51.27/51.44 apply (zenon_L291_); trivial.
% 51.27/51.44 apply (zenon_L24_); trivial.
% 51.27/51.44 (* end of lemma zenon_L321_ *)
% 51.27/51.44 assert (zenon_L322_ : (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((op1 (e10) (e10)) = (e11)) -> (~((op1 (e10) (e10)) = (op1 (e10) (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) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> ((op1 (e11) (e10)) = (e10)) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e12))) -> (~((e10) = (e13))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e13) (e10)) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> False).
% 51.27/51.44 do 0 intro. intros zenon_Hf8 zenon_H45 zenon_H2ba zenon_H3b zenon_H105 zenon_H1b zenon_H2d4 zenon_Hb5 zenon_H4b zenon_Haf zenon_H2c zenon_H1c zenon_Hab zenon_H95 zenon_H9e zenon_Ha2 zenon_Hb0 zenon_H3d zenon_Hf6 zenon_H33 zenon_H90 zenon_H35 zenon_H42 zenon_H72 zenon_H65 zenon_H66 zenon_H54 zenon_H49 zenon_He6 zenon_H2ce zenon_H19 zenon_H8c.
% 51.27/51.44 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H41 | zenon_intro zenon_Hf9 ].
% 51.27/51.44 apply (zenon_L12_); trivial.
% 51.27/51.44 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H47 | zenon_intro zenon_Hfa ].
% 51.27/51.44 apply (zenon_L299_); trivial.
% 51.27/51.44 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H51 ].
% 51.27/51.44 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H4e | zenon_intro zenon_H91 ].
% 51.27/51.44 apply (zenon_L16_); trivial.
% 51.27/51.44 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H50 | zenon_intro zenon_H92 ].
% 51.27/51.44 apply (zenon_L66_); trivial.
% 51.27/51.44 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H62 | zenon_intro zenon_H8b ].
% 51.27/51.44 apply (zenon_L292_); trivial.
% 51.27/51.44 apply (zenon_L24_); trivial.
% 51.27/51.44 apply (zenon_L321_); trivial.
% 51.27/51.44 (* end of lemma zenon_L322_ *)
% 51.27/51.44 assert (zenon_L323_ : (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e13) (e10)) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e13) (e11)) = (e10)) -> ((op1 (e11) (e12)) = (e10)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> False).
% 51.27/51.44 do 0 intro. intros zenon_H90 zenon_Hda zenon_Hd3 zenon_H35 zenon_Hde zenon_H72 zenon_H65 zenon_H66 zenon_H54 zenon_H49 zenon_He6 zenon_H2ce zenon_H2c zenon_H1c zenon_Hab zenon_Hbe zenon_H126 zenon_H2db zenon_Hb0 zenon_H19 zenon_H8c.
% 51.27/51.44 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H4e | zenon_intro zenon_H91 ].
% 51.27/51.44 apply (zenon_L47_); trivial.
% 51.27/51.44 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H50 | zenon_intro zenon_H92 ].
% 51.27/51.44 apply (zenon_L303_); trivial.
% 51.27/51.44 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H62 | zenon_intro zenon_H8b ].
% 51.27/51.44 apply (zenon_L304_); trivial.
% 51.27/51.44 apply (zenon_L24_); trivial.
% 51.27/51.44 (* end of lemma zenon_L323_ *)
% 51.27/51.44 assert (zenon_L324_ : (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e11) (e12)) = (e10)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e10) (e12)) = (e13)) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> False).
% 51.27/51.44 do 0 intro. intros zenon_Hc8 zenon_Hb8 zenon_Hb0 zenon_H2db zenon_H126 zenon_Hab zenon_H2c zenon_H2ce zenon_He6 zenon_H49 zenon_H54 zenon_H66 zenon_H65 zenon_H72 zenon_Hde zenon_H35 zenon_Hd3 zenon_Hda zenon_H90 zenon_Hc2 zenon_H1c zenon_H19 zenon_H8c.
% 51.27/51.44 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hc9 ].
% 51.27/51.44 apply (zenon_L39_); trivial.
% 51.27/51.44 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hca ].
% 51.27/51.44 apply (zenon_L323_); trivial.
% 51.27/51.44 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H8b ].
% 51.27/51.44 apply (zenon_L41_); trivial.
% 51.27/51.44 apply (zenon_L24_); trivial.
% 51.27/51.44 (* end of lemma zenon_L324_ *)
% 51.27/51.44 assert (zenon_L325_ : (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((e10) = (e11))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((e10) = (e13))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (e10) (e10)) = (e11)) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((op1 (e11) (e10)) = (e12)) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e10)) = (e10)) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> ((op1 (e10) (e13)) = (e12)) -> (~((e12) = (e13))) -> False).
% 51.27/51.44 do 0 intro. intros zenon_Hff zenon_H2e1 zenon_H2c5 zenon_H2be zenon_H2c9 zenon_H24 zenon_H2d1 zenon_H125 zenon_H8c zenon_H19 zenon_H2ce zenon_H54 zenon_H65 zenon_H72 zenon_H42 zenon_H35 zenon_H90 zenon_Hb5 zenon_Ha2 zenon_H9e zenon_H95 zenon_H3d zenon_H2d4 zenon_H1b zenon_H105 zenon_H3b zenon_H1c zenon_H2c zenon_H2ba zenon_H45 zenon_H34 zenon_Hf8 zenon_Hc8 zenon_Hb8 zenon_Hb0 zenon_H2db zenon_Hab zenon_Hde zenon_Hd3 zenon_Hda zenon_Hc2 zenon_H10e zenon_Haf zenon_Hf6 zenon_H2e0 zenon_Hcb zenon_Hcf zenon_H7d zenon_He1 zenon_H23 zenon_Hfb zenon_H49 zenon_H4b.
% 51.27/51.44 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H3c | zenon_intro zenon_H102 ].
% 51.27/51.44 apply (zenon_L11_); trivial.
% 51.27/51.44 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_H46 | zenon_intro zenon_H103 ].
% 51.27/51.44 apply (zenon_L316_); trivial.
% 51.27/51.44 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_He6 | zenon_intro zenon_H4a ].
% 51.27/51.44 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hfc ].
% 51.27/51.44 apply (zenon_L317_); trivial.
% 51.27/51.44 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H41 | zenon_intro zenon_Hfd ].
% 51.27/51.44 apply (zenon_L86_); trivial.
% 51.27/51.44 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_He2 | zenon_intro zenon_H66 ].
% 51.27/51.44 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H41 | zenon_intro zenon_Hf9 ].
% 51.27/51.44 apply (zenon_L86_); trivial.
% 51.27/51.44 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H47 | zenon_intro zenon_Hfa ].
% 51.27/51.44 apply (zenon_L299_); trivial.
% 51.27/51.44 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H51 ].
% 51.27/51.44 apply (zenon_L295_); trivial.
% 51.27/51.44 apply (zenon_L320_); trivial.
% 51.27/51.44 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H33 | zenon_intro zenon_H2e2 ].
% 51.27/51.44 apply (zenon_L322_); trivial.
% 51.27/51.44 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2e3 ].
% 51.27/51.44 apply (zenon_L283_); trivial.
% 51.27/51.44 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H126 | zenon_intro zenon_H50 ].
% 51.27/51.44 apply (zenon_L324_); trivial.
% 51.27/51.44 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H41 | zenon_intro zenon_Hf9 ].
% 51.27/51.44 apply (zenon_L86_); trivial.
% 51.27/51.44 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H47 | zenon_intro zenon_Hfa ].
% 51.27/51.44 apply (zenon_L299_); trivial.
% 51.27/51.44 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H51 ].
% 51.27/51.44 apply (zenon_L285_); trivial.
% 51.27/51.44 apply (zenon_L321_); trivial.
% 51.27/51.44 apply (zenon_L15_); trivial.
% 51.27/51.44 (* end of lemma zenon_L325_ *)
% 51.27/51.44 assert (zenon_L326_ : (~((h4 (e11)) = (e21))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((e21) = (op2 (e23) (e23))) -> False).
% 51.27/51.44 do 0 intro. intros zenon_H2e6 zenon_H2e7 zenon_H14e.
% 51.27/51.44 cut (((h4 (e11)) = (op2 (e23) (e23))) = ((h4 (e11)) = (e21))).
% 51.27/51.44 intro zenon_D_pnotp.
% 51.27/51.44 apply zenon_H2e6.
% 51.27/51.44 rewrite <- zenon_D_pnotp.
% 51.27/51.44 exact zenon_H2e7.
% 51.27/51.44 cut (((op2 (e23) (e23)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H14f].
% 51.27/51.44 cut (((h4 (e11)) = (h4 (e11)))); [idtac | apply NNPP; zenon_intro zenon_H2e8].
% 51.27/51.44 congruence.
% 51.27/51.44 apply zenon_H2e8. apply refl_equal.
% 51.27/51.44 apply zenon_H14f. apply sym_equal. exact zenon_H14e.
% 51.27/51.44 (* end of lemma zenon_L326_ *)
% 51.27/51.44 assert (zenon_L327_ : (~((h4 (op1 (e10) (e11))) = (op2 (h4 (e10)) (h4 (e11))))) -> ((h4 (e13)) = (e23)) -> ((op1 (e10) (e11)) = (e13)) -> ((op2 (e20) (e21)) = (e23)) -> ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((e21) = (op2 (e23) (e23))) -> False).
% 51.27/51.44 do 0 intro. intros zenon_H2e9 zenon_H2ea zenon_H46 zenon_H244 zenon_H13 zenon_H14 zenon_H2e7 zenon_H14e.
% 51.27/51.44 cut (((h4 (e13)) = (e23)) = ((h4 (op1 (e10) (e11))) = (op2 (h4 (e10)) (h4 (e11))))).
% 51.27/51.44 intro zenon_D_pnotp.
% 51.27/51.44 apply zenon_H2e9.
% 51.27/51.44 rewrite <- zenon_D_pnotp.
% 51.27/51.44 exact zenon_H2ea.
% 51.27/51.44 cut (((e23) = (op2 (h4 (e10)) (h4 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H2eb].
% 51.27/51.44 cut (((h4 (e13)) = (h4 (op1 (e10) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H2ec].
% 51.27/51.44 congruence.
% 51.27/51.44 elim (classic ((h4 (op1 (e10) (e11))) = (h4 (op1 (e10) (e11))))); [ zenon_intro zenon_H2ed | zenon_intro zenon_H2ee ].
% 51.27/51.44 cut (((h4 (op1 (e10) (e11))) = (h4 (op1 (e10) (e11)))) = ((h4 (e13)) = (h4 (op1 (e10) (e11))))).
% 51.27/51.44 intro zenon_D_pnotp.
% 51.27/51.44 apply zenon_H2ec.
% 51.27/51.44 rewrite <- zenon_D_pnotp.
% 51.27/51.44 exact zenon_H2ed.
% 51.27/51.44 cut (((h4 (op1 (e10) (e11))) = (h4 (op1 (e10) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H2ee].
% 51.27/51.44 cut (((h4 (op1 (e10) (e11))) = (h4 (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2ef].
% 51.27/51.44 congruence.
% 51.27/51.44 cut (((op1 (e10) (e11)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H2f0].
% 51.27/51.44 congruence.
% 51.27/51.44 exact (zenon_H2f0 zenon_H46).
% 51.27/51.44 apply zenon_H2ee. apply refl_equal.
% 51.27/51.44 apply zenon_H2ee. apply refl_equal.
% 51.27/51.44 elim (classic ((op2 (h4 (e10)) (h4 (e11))) = (op2 (h4 (e10)) (h4 (e11))))); [ zenon_intro zenon_H2f1 | zenon_intro zenon_H2f2 ].
% 51.27/51.44 cut (((op2 (h4 (e10)) (h4 (e11))) = (op2 (h4 (e10)) (h4 (e11)))) = ((e23) = (op2 (h4 (e10)) (h4 (e11))))).
% 51.27/51.44 intro zenon_D_pnotp.
% 51.27/51.44 apply zenon_H2eb.
% 51.27/51.44 rewrite <- zenon_D_pnotp.
% 51.27/51.44 exact zenon_H2f1.
% 51.27/51.44 cut (((op2 (h4 (e10)) (h4 (e11))) = (op2 (h4 (e10)) (h4 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H2f2].
% 51.27/51.44 cut (((op2 (h4 (e10)) (h4 (e11))) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H2f3].
% 51.27/51.44 congruence.
% 51.27/51.44 cut (((op2 (e20) (e21)) = (e23)) = ((op2 (h4 (e10)) (h4 (e11))) = (e23))).
% 51.27/51.44 intro zenon_D_pnotp.
% 51.27/51.44 apply zenon_H2f3.
% 51.27/51.44 rewrite <- zenon_D_pnotp.
% 51.27/51.44 exact zenon_H244.
% 51.27/51.44 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H14c].
% 51.27/51.44 cut (((op2 (e20) (e21)) = (op2 (h4 (e10)) (h4 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H2f4].
% 51.27/51.44 congruence.
% 51.27/51.44 elim (classic ((op2 (h4 (e10)) (h4 (e11))) = (op2 (h4 (e10)) (h4 (e11))))); [ zenon_intro zenon_H2f1 | zenon_intro zenon_H2f2 ].
% 51.27/51.44 cut (((op2 (h4 (e10)) (h4 (e11))) = (op2 (h4 (e10)) (h4 (e11)))) = ((op2 (e20) (e21)) = (op2 (h4 (e10)) (h4 (e11))))).
% 51.27/51.44 intro zenon_D_pnotp.
% 51.27/51.44 apply zenon_H2f4.
% 51.27/51.44 rewrite <- zenon_D_pnotp.
% 51.27/51.44 exact zenon_H2f1.
% 51.27/51.44 cut (((op2 (h4 (e10)) (h4 (e11))) = (op2 (h4 (e10)) (h4 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H2f2].
% 51.27/51.44 cut (((op2 (h4 (e10)) (h4 (e11))) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H2f5].
% 51.27/51.44 congruence.
% 51.27/51.44 cut (((h4 (e11)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H2e6].
% 51.27/51.44 cut (((h4 (e10)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H12].
% 51.27/51.44 congruence.
% 51.27/51.44 apply (zenon_L1_); trivial.
% 51.27/51.44 apply (zenon_L326_); trivial.
% 51.27/51.44 apply zenon_H2f2. apply refl_equal.
% 51.27/51.44 apply zenon_H2f2. apply refl_equal.
% 51.27/51.44 apply zenon_H14c. apply refl_equal.
% 51.27/51.44 apply zenon_H2f2. apply refl_equal.
% 51.27/51.44 apply zenon_H2f2. apply refl_equal.
% 51.27/51.44 (* end of lemma zenon_L327_ *)
% 51.27/51.44 assert (zenon_L328_ : ((op1 (e11) (e10)) = (e11)) -> ((op1 (e11) (e10)) = (e13)) -> (~((e11) = (e13))) -> False).
% 51.27/51.44 do 0 intro. intros zenon_H108 zenon_H41 zenon_H3d.
% 51.27/51.44 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H3e | zenon_intro zenon_H17 ].
% 51.27/51.44 cut (((e13) = (e13)) = ((e11) = (e13))).
% 51.27/51.44 intro zenon_D_pnotp.
% 51.27/51.44 apply zenon_H3d.
% 51.27/51.44 rewrite <- zenon_D_pnotp.
% 51.27/51.44 exact zenon_H3e.
% 51.27/51.44 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H17].
% 51.27/51.44 cut (((e13) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H3f].
% 51.27/51.44 congruence.
% 51.27/51.44 cut (((op1 (e11) (e10)) = (e11)) = ((e13) = (e11))).
% 51.27/51.44 intro zenon_D_pnotp.
% 51.27/51.44 apply zenon_H3f.
% 51.27/51.44 rewrite <- zenon_D_pnotp.
% 51.27/51.44 exact zenon_H108.
% 51.27/51.44 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H3a].
% 51.27/51.44 cut (((op1 (e11) (e10)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H44].
% 51.27/51.44 congruence.
% 51.27/51.44 exact (zenon_H44 zenon_H41).
% 51.27/51.44 apply zenon_H3a. apply refl_equal.
% 51.27/51.44 apply zenon_H17. apply refl_equal.
% 51.27/51.44 apply zenon_H17. apply refl_equal.
% 51.27/51.44 (* end of lemma zenon_L328_ *)
% 51.27/51.44 assert (zenon_L329_ : (~((op1 (op1 (e13) (op1 (e13) (e13))) (e13)) = (op1 (e12) (e10)))) -> ((op1 (e10) (e13)) = (e12)) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((op1 (e12) (e10)) = (e12)) -> False).
% 51.27/51.44 do 0 intro. intros zenon_H2f6 zenon_H49 zenon_H1c zenon_H7c.
% 51.27/51.44 cut (((op1 (e10) (e13)) = (e12)) = ((op1 (op1 (e13) (op1 (e13) (e13))) (e13)) = (op1 (e12) (e10)))).
% 51.27/51.44 intro zenon_D_pnotp.
% 51.27/51.44 apply zenon_H2f6.
% 51.27/51.44 rewrite <- zenon_D_pnotp.
% 51.27/51.44 exact zenon_H49.
% 51.27/51.44 cut (((e12) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H86].
% 51.27/51.44 cut (((op1 (e10) (e13)) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2f7].
% 51.27/51.44 congruence.
% 51.27/51.44 elim (classic ((op1 (op1 (e13) (op1 (e13) (e13))) (e13)) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13)))); [ zenon_intro zenon_H2f8 | zenon_intro zenon_H2f9 ].
% 51.27/51.44 cut (((op1 (op1 (e13) (op1 (e13) (e13))) (e13)) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) = ((op1 (e10) (e13)) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13)))).
% 51.27/51.44 intro zenon_D_pnotp.
% 51.27/51.44 apply zenon_H2f7.
% 51.27/51.44 rewrite <- zenon_D_pnotp.
% 51.27/51.44 exact zenon_H2f8.
% 51.27/51.44 cut (((op1 (op1 (e13) (op1 (e13) (e13))) (e13)) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2f9].
% 51.27/51.44 cut (((op1 (op1 (e13) (op1 (e13) (e13))) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H29].
% 51.27/51.44 congruence.
% 51.27/51.44 apply (zenon_L6_); trivial.
% 51.27/51.44 apply zenon_H2f9. apply refl_equal.
% 51.27/51.44 apply zenon_H2f9. apply refl_equal.
% 51.27/51.44 apply zenon_H86. apply sym_equal. exact zenon_H7c.
% 51.27/51.44 (* end of lemma zenon_L329_ *)
% 51.27/51.44 assert (zenon_L330_ : (~((op1 (op1 (e13) (op1 (e13) (e13))) (e13)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((op1 (e12) (e10)) = (e12)) -> ((op1 (e10) (e13)) = (e12)) -> ((op1 (e11) (e11)) = (e12)) -> False).
% 51.27/51.44 do 0 intro. intros zenon_H2fa zenon_H1c zenon_H7c zenon_H49 zenon_H2c6.
% 51.27/51.44 cut (((op1 (e12) (e10)) = (e12)) = ((op1 (op1 (e13) (op1 (e13) (e13))) (e13)) = (op1 (e11) (e11)))).
% 51.27/51.44 intro zenon_D_pnotp.
% 51.27/51.44 apply zenon_H2fa.
% 51.27/51.44 rewrite <- zenon_D_pnotp.
% 51.27/51.44 exact zenon_H7c.
% 51.27/51.44 cut (((e12) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H2c7].
% 51.27/51.44 cut (((op1 (e12) (e10)) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2fb].
% 51.27/51.44 congruence.
% 51.27/51.44 elim (classic ((op1 (op1 (e13) (op1 (e13) (e13))) (e13)) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13)))); [ zenon_intro zenon_H2f8 | zenon_intro zenon_H2f9 ].
% 51.27/51.44 cut (((op1 (op1 (e13) (op1 (e13) (e13))) (e13)) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) = ((op1 (e12) (e10)) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13)))).
% 51.27/51.44 intro zenon_D_pnotp.
% 51.27/51.44 apply zenon_H2fb.
% 51.27/51.44 rewrite <- zenon_D_pnotp.
% 51.27/51.44 exact zenon_H2f8.
% 51.27/51.44 cut (((op1 (op1 (e13) (op1 (e13) (e13))) (e13)) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2f9].
% 51.27/51.44 cut (((op1 (op1 (e13) (op1 (e13) (e13))) (e13)) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H2f6].
% 51.27/51.44 congruence.
% 51.27/51.44 apply (zenon_L329_); trivial.
% 51.27/51.44 apply zenon_H2f9. apply refl_equal.
% 51.27/51.44 apply zenon_H2f9. apply refl_equal.
% 51.27/51.44 apply zenon_H2c7. apply sym_equal. exact zenon_H2c6.
% 51.27/51.44 (* end of lemma zenon_L330_ *)
% 51.27/51.44 assert (zenon_L331_ : ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((op1 (e11) (e12)) = (e12)) -> ((op1 (e11) (e11)) = (e12)) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((op1 (e12) (e10)) = (e12)) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> False).
% 51.27/51.44 do 0 intro. intros zenon_H2c zenon_H12b zenon_H2c6 zenon_H1c zenon_H7c zenon_H49 zenon_Ha2.
% 51.27/51.44 elim (classic ((op1 (e11) (e12)) = (op1 (e11) (e12)))); [ zenon_intro zenon_H2fc | zenon_intro zenon_Hce ].
% 51.27/51.44 cut (((op1 (e11) (e12)) = (op1 (e11) (e12))) = ((op1 (e11) (e11)) = (op1 (e11) (e12)))).
% 51.27/51.44 intro zenon_D_pnotp.
% 51.27/51.44 apply zenon_Ha2.
% 51.27/51.44 rewrite <- zenon_D_pnotp.
% 51.27/51.44 exact zenon_H2fc.
% 51.27/51.44 cut (((op1 (e11) (e12)) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_Hce].
% 51.27/51.44 cut (((op1 (e11) (e12)) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H2fd].
% 51.27/51.44 congruence.
% 51.27/51.44 cut (((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) = ((op1 (e11) (e12)) = (op1 (e11) (e11)))).
% 51.27/51.44 intro zenon_D_pnotp.
% 51.27/51.44 apply zenon_H2fd.
% 51.27/51.44 rewrite <- zenon_D_pnotp.
% 51.27/51.44 exact zenon_H2c.
% 51.27/51.44 cut (((op1 (op1 (e13) (op1 (e13) (e13))) (e13)) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H2fa].
% 51.27/51.44 cut (((e12) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H12e].
% 51.27/51.44 congruence.
% 51.27/51.44 elim (classic ((op1 (e11) (e12)) = (op1 (e11) (e12)))); [ zenon_intro zenon_H2fc | zenon_intro zenon_Hce ].
% 51.27/51.44 cut (((op1 (e11) (e12)) = (op1 (e11) (e12))) = ((e12) = (op1 (e11) (e12)))).
% 51.27/51.44 intro zenon_D_pnotp.
% 51.27/51.44 apply zenon_H12e.
% 51.27/51.44 rewrite <- zenon_D_pnotp.
% 51.27/51.44 exact zenon_H2fc.
% 51.27/51.44 cut (((op1 (e11) (e12)) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_Hce].
% 51.27/51.44 cut (((op1 (e11) (e12)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H2fe].
% 51.27/51.44 congruence.
% 51.27/51.44 exact (zenon_H2fe zenon_H12b).
% 51.27/51.44 apply zenon_Hce. apply refl_equal.
% 51.27/51.44 apply zenon_Hce. apply refl_equal.
% 51.27/51.44 apply (zenon_L330_); trivial.
% 51.27/51.44 apply zenon_Hce. apply refl_equal.
% 51.27/51.44 apply zenon_Hce. apply refl_equal.
% 51.27/51.44 (* end of lemma zenon_L331_ *)
% 51.27/51.44 assert (zenon_L332_ : ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((op1 (e12) (e11)) = (e12)) -> ((op1 (e10) (e13)) = (e12)) -> ((op1 (e12) (e10)) = (e12)) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> False).
% 51.27/51.44 do 0 intro. intros zenon_H2c zenon_H2c8 zenon_H49 zenon_H7c zenon_H1c zenon_H2ff.
% 51.27/51.44 elim (classic ((op1 (e12) (e11)) = (op1 (e12) (e11)))); [ zenon_intro zenon_H300 | zenon_intro zenon_H301 ].
% 51.27/51.44 cut (((op1 (e12) (e11)) = (op1 (e12) (e11))) = ((op1 (e12) (e10)) = (op1 (e12) (e11)))).
% 51.27/51.44 intro zenon_D_pnotp.
% 51.27/51.44 apply zenon_H2ff.
% 51.27/51.44 rewrite <- zenon_D_pnotp.
% 51.27/51.44 exact zenon_H300.
% 51.27/51.44 cut (((op1 (e12) (e11)) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H301].
% 51.27/51.44 cut (((op1 (e12) (e11)) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H302].
% 51.27/51.44 congruence.
% 51.27/51.44 cut (((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) = ((op1 (e12) (e11)) = (op1 (e12) (e10)))).
% 51.27/51.44 intro zenon_D_pnotp.
% 51.27/51.44 apply zenon_H302.
% 51.27/51.44 rewrite <- zenon_D_pnotp.
% 51.27/51.44 exact zenon_H2c.
% 51.27/51.44 cut (((op1 (op1 (e13) (op1 (e13) (e13))) (e13)) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H2f6].
% 51.27/51.44 cut (((e12) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H2ca].
% 51.27/51.44 congruence.
% 51.27/51.44 elim (classic ((op1 (e12) (e11)) = (op1 (e12) (e11)))); [ zenon_intro zenon_H300 | zenon_intro zenon_H301 ].
% 51.27/51.44 cut (((op1 (e12) (e11)) = (op1 (e12) (e11))) = ((e12) = (op1 (e12) (e11)))).
% 51.27/51.44 intro zenon_D_pnotp.
% 51.27/51.44 apply zenon_H2ca.
% 51.27/51.44 rewrite <- zenon_D_pnotp.
% 51.27/51.44 exact zenon_H300.
% 51.27/51.44 cut (((op1 (e12) (e11)) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H301].
% 51.27/51.44 cut (((op1 (e12) (e11)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H303].
% 51.27/51.44 congruence.
% 51.27/51.44 exact (zenon_H303 zenon_H2c8).
% 51.27/51.44 apply zenon_H301. apply refl_equal.
% 51.27/51.44 apply zenon_H301. apply refl_equal.
% 51.27/51.44 apply (zenon_L329_); trivial.
% 51.27/51.44 apply zenon_H301. apply refl_equal.
% 51.27/51.44 apply zenon_H301. apply refl_equal.
% 51.27/51.44 (* end of lemma zenon_L332_ *)
% 51.27/51.44 assert (zenon_L333_ : (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((op1 (e12) (e10)) = (e12)) -> ((op1 (e10) (e13)) = (e12)) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e12))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> False).
% 51.27/51.44 do 0 intro. intros zenon_H2e1 zenon_H2ba zenon_Ha2 zenon_H12b zenon_H2ff zenon_H7c zenon_H49 zenon_H2c zenon_Hc8 zenon_Hb8 zenon_H35 zenon_Hc2 zenon_H1c zenon_H19 zenon_H8c.
% 51.27/51.44 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H2bb | zenon_intro zenon_H2e4 ].
% 51.27/51.44 apply (zenon_L281_); trivial.
% 51.27/51.44 apply (zenon_or_s _ _ zenon_H2e4); [ zenon_intro zenon_H2c6 | zenon_intro zenon_H2e5 ].
% 51.27/51.44 apply (zenon_L331_); trivial.
% 51.27/51.44 apply (zenon_or_s _ _ zenon_H2e5); [ zenon_intro zenon_H2c8 | zenon_intro zenon_H2de ].
% 51.27/51.44 apply (zenon_L332_); trivial.
% 51.27/51.44 apply (zenon_L309_); trivial.
% 51.27/51.44 (* end of lemma zenon_L333_ *)
% 51.27/51.44 assert (zenon_L334_ : ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((op1 (e12) (e12)) = (e12)) -> ((op1 (e10) (e13)) = (e12)) -> ((op1 (e12) (e10)) = (e12)) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> False).
% 51.27/51.44 do 0 intro. intros zenon_H2c zenon_H304 zenon_H49 zenon_H7c zenon_H1c zenon_H305.
% 51.27/51.44 elim (classic ((op1 (e12) (e12)) = (op1 (e12) (e12)))); [ zenon_intro zenon_H99 | zenon_intro zenon_H9a ].
% 51.27/51.44 cut (((op1 (e12) (e12)) = (op1 (e12) (e12))) = ((op1 (e12) (e10)) = (op1 (e12) (e12)))).
% 51.27/51.44 intro zenon_D_pnotp.
% 51.27/51.44 apply zenon_H305.
% 51.27/51.44 rewrite <- zenon_D_pnotp.
% 51.27/51.44 exact zenon_H99.
% 51.27/51.44 cut (((op1 (e12) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H9a].
% 51.27/51.44 cut (((op1 (e12) (e12)) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H306].
% 51.27/51.44 congruence.
% 51.27/51.44 cut (((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) = ((op1 (e12) (e12)) = (op1 (e12) (e10)))).
% 51.27/51.44 intro zenon_D_pnotp.
% 51.27/51.44 apply zenon_H306.
% 51.27/51.44 rewrite <- zenon_D_pnotp.
% 51.27/51.44 exact zenon_H2c.
% 51.27/51.44 cut (((op1 (op1 (e13) (op1 (e13) (e13))) (e13)) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H2f6].
% 51.27/51.44 cut (((e12) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H307].
% 51.27/51.44 congruence.
% 51.27/51.44 elim (classic ((op1 (e12) (e12)) = (op1 (e12) (e12)))); [ zenon_intro zenon_H99 | zenon_intro zenon_H9a ].
% 51.27/51.44 cut (((op1 (e12) (e12)) = (op1 (e12) (e12))) = ((e12) = (op1 (e12) (e12)))).
% 51.27/51.44 intro zenon_D_pnotp.
% 51.27/51.44 apply zenon_H307.
% 51.27/51.44 rewrite <- zenon_D_pnotp.
% 51.27/51.44 exact zenon_H99.
% 51.27/51.44 cut (((op1 (e12) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H9a].
% 51.27/51.44 cut (((op1 (e12) (e12)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H308].
% 51.27/51.44 congruence.
% 51.27/51.44 exact (zenon_H308 zenon_H304).
% 51.27/51.44 apply zenon_H9a. apply refl_equal.
% 51.27/51.44 apply zenon_H9a. apply refl_equal.
% 51.27/51.44 apply (zenon_L329_); trivial.
% 51.27/51.44 apply zenon_H9a. apply refl_equal.
% 51.27/51.44 apply zenon_H9a. apply refl_equal.
% 51.27/51.44 (* end of lemma zenon_L334_ *)
% 51.27/51.44 assert (zenon_L335_ : (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e12) = (e13))) -> ((op1 (e10) (e13)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> False).
% 51.27/51.44 do 0 intro. intros zenon_Hde zenon_H4b zenon_H4a zenon_Hab zenon_Hd3 zenon_H2c zenon_H1c zenon_Hda.
% 51.27/51.44 apply (zenon_or_s _ _ zenon_Hde); [ zenon_intro zenon_H49 | zenon_intro zenon_Hdf ].
% 51.27/51.44 apply (zenon_L15_); trivial.
% 51.27/51.44 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_Haa | zenon_intro zenon_He0 ].
% 51.27/51.44 apply (zenon_L34_); trivial.
% 51.27/51.44 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hd2 | zenon_intro zenon_Hd9 ].
% 51.27/51.44 apply (zenon_L45_); trivial.
% 51.27/51.44 apply (zenon_L46_); trivial.
% 51.27/51.44 (* end of lemma zenon_L335_ *)
% 51.27/51.44 assert (zenon_L336_ : (((op1 (op1 (e13) (e10)) (op1 (e13) (e10))) = (e10))/\(((op1 (op1 (e13) (e11)) (op1 (e13) (e11))) = (e11))/\(((op1 (op1 (e13) (e12)) (op1 (e13) (e12))) = (e12))/\((op1 (op1 (e13) (e13)) (op1 (e13) (e13))) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e12)) = (e12)) -> False).
% 51.27/51.44 do 0 intro. intros zenon_H71 zenon_He1 zenon_Hf1.
% 51.27/51.44 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H74. zenon_intro zenon_H73.
% 51.27/51.44 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H76. zenon_intro zenon_H75.
% 51.27/51.44 apply (zenon_and_s _ _ zenon_H75). zenon_intro zenon_H78. zenon_intro zenon_H77.
% 51.27/51.44 cut (((op1 (op1 (e13) (e12)) (op1 (e13) (e12))) = (e12)) = ((op1 (e12) (e12)) = (op1 (e13) (e12)))).
% 51.27/51.44 intro zenon_D_pnotp.
% 51.27/51.44 apply zenon_He1.
% 51.27/51.44 rewrite <- zenon_D_pnotp.
% 51.27/51.44 exact zenon_H78.
% 51.27/51.44 cut (((e12) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_Hf2].
% 51.27/51.44 cut (((op1 (op1 (e13) (e12)) (op1 (e13) (e12))) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H309].
% 51.27/51.44 congruence.
% 51.27/51.44 elim (classic ((op1 (e12) (e12)) = (op1 (e12) (e12)))); [ zenon_intro zenon_H99 | zenon_intro zenon_H9a ].
% 51.27/51.44 cut (((op1 (e12) (e12)) = (op1 (e12) (e12))) = ((op1 (op1 (e13) (e12)) (op1 (e13) (e12))) = (op1 (e12) (e12)))).
% 51.27/51.44 intro zenon_D_pnotp.
% 51.27/51.44 apply zenon_H309.
% 51.27/51.44 rewrite <- zenon_D_pnotp.
% 51.27/51.44 exact zenon_H99.
% 51.27/51.44 cut (((op1 (e12) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H9a].
% 51.27/51.44 cut (((op1 (e12) (e12)) = (op1 (op1 (e13) (e12)) (op1 (e13) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H30a].
% 51.27/51.44 congruence.
% 51.27/51.44 cut (((e12) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_Hf2].
% 51.27/51.44 cut (((e12) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_Hf2].
% 51.27/51.44 congruence.
% 51.27/51.44 apply zenon_Hf2. apply sym_equal. exact zenon_Hf1.
% 51.27/51.44 apply zenon_Hf2. apply sym_equal. exact zenon_Hf1.
% 51.27/51.44 apply zenon_H9a. apply refl_equal.
% 51.27/51.44 apply zenon_H9a. apply refl_equal.
% 51.27/51.44 apply zenon_Hf2. apply sym_equal. exact zenon_Hf1.
% 51.27/51.44 (* end of lemma zenon_L336_ *)
% 51.27/51.44 assert (zenon_L337_ : ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e10)) = (e13)) -> ((op1 (e11) (e13)) = (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) (e12)) = (e12)) -> False).
% 51.27/51.44 do 0 intro. intros zenon_H49 zenon_H95 zenon_H41 zenon_H50 zenon_Hea zenon_H9e zenon_H96 zenon_He1 zenon_Hf1.
% 51.27/51.44 apply (zenon_or_s _ _ ax10); [ zenon_intro zenon_H7f | zenon_intro zenon_H7e ].
% 51.27/51.44 apply (zenon_L27_); trivial.
% 51.27/51.44 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H53 | zenon_intro zenon_H8a ].
% 51.27/51.44 apply (zenon_L58_); trivial.
% 51.27/51.44 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H64 | zenon_intro zenon_H71 ].
% 51.27/51.44 apply (zenon_L30_); trivial.
% 51.27/51.44 apply (zenon_L336_); trivial.
% 51.27/51.44 (* end of lemma zenon_L337_ *)
% 51.27/51.44 assert (zenon_L338_ : (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e13))) -> ((op1 (e13) (e12)) = (e12)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e11) (e13)) = (e10)) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((e11) = (e13))) -> ((e11) = (op1 (e13) (e13))) -> False).
% 51.27/51.44 do 0 intro. intros zenon_Hb5 zenon_Hda zenon_H1c zenon_H2c zenon_Hd3 zenon_Hab zenon_H4b zenon_Hde zenon_H42 zenon_Hf1 zenon_He1 zenon_H9e zenon_Hea zenon_H50 zenon_H41 zenon_H95 zenon_H49 zenon_H3d zenon_H19.
% 51.27/51.44 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H4a | zenon_intro zenon_Hb6 ].
% 51.27/51.44 apply (zenon_L335_); trivial.
% 51.27/51.44 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H51 | zenon_intro zenon_Hb7 ].
% 51.27/51.44 apply (zenon_L17_); trivial.
% 51.27/51.44 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb3 ].
% 51.27/51.44 apply (zenon_L337_); trivial.
% 51.27/51.44 apply (zenon_L37_); trivial.
% 51.27/51.44 (* end of lemma zenon_L338_ *)
% 51.27/51.44 assert (zenon_L339_ : (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e12))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e12)) = (e12)) -> (~((e10) = (e13))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e13) (e10)) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e13) (e11)) = (e10)) -> ((op1 (e11) (e12)) = (e10)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> False).
% 51.27/51.44 do 0 intro. intros zenon_H90 zenon_H35 zenon_H3d zenon_H95 zenon_H41 zenon_Hea zenon_H9e zenon_He1 zenon_Hf1 zenon_H42 zenon_Hde zenon_H4b zenon_Hd3 zenon_Hda zenon_Hb5 zenon_H72 zenon_H65 zenon_H66 zenon_H54 zenon_H49 zenon_He6 zenon_H2ce zenon_H2c zenon_H1c zenon_Hab zenon_Hbe zenon_H126 zenon_H2db zenon_Hb0 zenon_H19 zenon_H8c.
% 51.27/51.44 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H4e | zenon_intro zenon_H91 ].
% 51.27/51.44 apply (zenon_L16_); trivial.
% 51.27/51.44 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H50 | zenon_intro zenon_H92 ].
% 51.27/51.44 apply (zenon_L338_); trivial.
% 51.27/51.44 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H62 | zenon_intro zenon_H8b ].
% 51.27/51.44 apply (zenon_L304_); trivial.
% 51.27/51.44 apply (zenon_L24_); trivial.
% 51.27/51.44 (* end of lemma zenon_L339_ *)
% 51.27/51.44 assert (zenon_L340_ : (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((op1 (e10) (e11)) = (e11)) -> ((op1 (e11) (e11)) = (e11)) -> False).
% 51.27/51.44 do 0 intro. intros zenon_H45 zenon_H104 zenon_H30b.
% 51.27/51.44 cut (((op1 (e10) (e11)) = (e11)) = ((op1 (e10) (e11)) = (op1 (e11) (e11)))).
% 51.27/51.44 intro zenon_D_pnotp.
% 51.27/51.44 apply zenon_H45.
% 51.27/51.44 rewrite <- zenon_D_pnotp.
% 51.27/51.44 exact zenon_H104.
% 51.27/51.44 cut (((e11) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H30c].
% 51.27/51.44 cut (((op1 (e10) (e11)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H20].
% 51.27/51.44 congruence.
% 51.27/51.44 apply zenon_H20. apply refl_equal.
% 51.27/51.44 apply zenon_H30c. apply sym_equal. exact zenon_H30b.
% 51.27/51.44 (* end of lemma zenon_L340_ *)
% 51.27/51.44 assert (zenon_L341_ : ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((op1 (e13) (e10)) = (e12)) -> ((op1 (e10) (e13)) = (e12)) -> ((op1 (e12) (e10)) = (e12)) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> False).
% 51.27/51.44 do 0 intro. intros zenon_H2c zenon_He8 zenon_H49 zenon_H7c zenon_H1c zenon_H30d.
% 51.27/51.44 elim (classic ((op1 (e13) (e10)) = (op1 (e13) (e10)))); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hbc ].
% 51.27/51.44 cut (((op1 (e13) (e10)) = (op1 (e13) (e10))) = ((op1 (e12) (e10)) = (op1 (e13) (e10)))).
% 51.27/51.44 intro zenon_D_pnotp.
% 51.27/51.44 apply zenon_H30d.
% 51.27/51.44 rewrite <- zenon_D_pnotp.
% 51.27/51.44 exact zenon_Hbb.
% 51.27/51.44 cut (((op1 (e13) (e10)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_Hbc].
% 51.27/51.44 cut (((op1 (e13) (e10)) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H30e].
% 51.27/51.44 congruence.
% 51.27/51.44 cut (((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) = ((op1 (e13) (e10)) = (op1 (e12) (e10)))).
% 51.27/51.44 intro zenon_D_pnotp.
% 51.27/51.44 apply zenon_H30e.
% 51.27/51.44 rewrite <- zenon_D_pnotp.
% 51.27/51.44 exact zenon_H2c.
% 51.27/51.44 cut (((op1 (op1 (e13) (op1 (e13) (e13))) (e13)) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H2f6].
% 51.27/51.44 cut (((e12) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H30f].
% 51.27/51.44 congruence.
% 51.27/51.44 elim (classic ((op1 (e13) (e10)) = (op1 (e13) (e10)))); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hbc ].
% 51.27/51.44 cut (((op1 (e13) (e10)) = (op1 (e13) (e10))) = ((e12) = (op1 (e13) (e10)))).
% 51.27/51.44 intro zenon_D_pnotp.
% 51.27/51.44 apply zenon_H30f.
% 51.27/51.44 rewrite <- zenon_D_pnotp.
% 51.27/51.44 exact zenon_Hbb.
% 51.27/51.44 cut (((op1 (e13) (e10)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_Hbc].
% 51.27/51.44 cut (((op1 (e13) (e10)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H310].
% 51.27/51.44 congruence.
% 51.27/51.44 exact (zenon_H310 zenon_He8).
% 51.27/51.44 apply zenon_Hbc. apply refl_equal.
% 51.27/51.44 apply zenon_Hbc. apply refl_equal.
% 51.27/51.44 apply (zenon_L329_); trivial.
% 51.27/51.44 apply zenon_Hbc. apply refl_equal.
% 51.27/51.44 apply zenon_Hbc. apply refl_equal.
% 51.27/51.44 (* end of lemma zenon_L341_ *)
% 51.27/51.44 assert (zenon_L342_ : (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e12)) = (e13)) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e13))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((op1 (e12) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> False).
% 51.27/51.44 do 0 intro. intros zenon_H90 zenon_H1c zenon_H2c zenon_Hd3 zenon_Hab zenon_H35 zenon_Hde zenon_H3d zenon_He1 zenon_H41 zenon_Hea zenon_H9e zenon_Hcc zenon_H49 zenon_Hda zenon_H42 zenon_H4b zenon_Hb5 zenon_H121 zenon_H123 zenon_H19 zenon_H8c.
% 51.27/51.44 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H4e | zenon_intro zenon_H91 ].
% 51.27/51.44 apply (zenon_L47_); trivial.
% 51.27/51.44 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H50 | zenon_intro zenon_H92 ].
% 51.27/51.44 apply (zenon_L93_); trivial.
% 51.27/51.44 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H62 | zenon_intro zenon_H8b ].
% 51.27/51.44 apply (zenon_L88_); trivial.
% 51.27/51.44 apply (zenon_L24_); trivial.
% 51.27/51.44 (* end of lemma zenon_L342_ *)
% 51.27/51.44 assert (zenon_L343_ : (~((e10) = (e11))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (e10)) = (e10)) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((e10) = (e13))) -> ((op1 (e13) (e12)) = (e13)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e13))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> False).
% 51.27/51.44 do 0 intro. intros zenon_H8c zenon_H19 zenon_H123 zenon_H121 zenon_Hb5 zenon_H4b zenon_H42 zenon_Hcc zenon_H9e zenon_Hea zenon_H41 zenon_He1 zenon_H3d zenon_Hde zenon_H35 zenon_H90 zenon_Hab zenon_Hd3 zenon_H2c zenon_H1c zenon_Hda.
% 51.27/51.44 apply (zenon_or_s _ _ zenon_Hde); [ zenon_intro zenon_H49 | zenon_intro zenon_Hdf ].
% 51.27/51.44 apply (zenon_L342_); trivial.
% 51.27/51.44 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_Haa | zenon_intro zenon_He0 ].
% 51.27/51.44 apply (zenon_L34_); trivial.
% 51.27/51.44 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hd2 | zenon_intro zenon_Hd9 ].
% 51.27/51.44 apply (zenon_L45_); trivial.
% 51.27/51.44 apply (zenon_L46_); trivial.
% 51.27/51.44 (* end of lemma zenon_L343_ *)
% 51.27/51.44 assert (zenon_L344_ : (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> ((op1 (e13) (e12)) = (e13)) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e12) (e10)) = (e11)) -> ((op1 (e11) (e13)) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> False).
% 51.27/51.44 do 0 intro. intros zenon_Hc8 zenon_Hb8 zenon_Hda zenon_H49 zenon_Hcc zenon_H10e zenon_H10a zenon_H51 zenon_H54 zenon_He1 zenon_Hc2 zenon_H1c zenon_H19 zenon_H8c.
% 51.27/51.44 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hc9 ].
% 51.27/51.44 apply (zenon_L39_); trivial.
% 51.27/51.44 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hca ].
% 51.27/51.44 apply (zenon_L77_); trivial.
% 51.27/51.44 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H8b ].
% 51.27/51.44 apply (zenon_L41_); trivial.
% 51.27/51.44 apply (zenon_L24_); trivial.
% 51.27/51.44 (* end of lemma zenon_L344_ *)
% 51.27/51.44 assert (zenon_L345_ : (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e13)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e12) (e13)) = (e13)) -> ((op1 (e13) (e12)) = (e13)) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> False).
% 51.27/51.44 do 0 intro. intros zenon_H95 zenon_H54 zenon_H51 zenon_H9e zenon_H96 zenon_Hcc zenon_H49 zenon_Hda.
% 51.27/51.44 apply (zenon_or_s _ _ ax10); [ zenon_intro zenon_H7f | zenon_intro zenon_H7e ].
% 51.27/51.44 apply (zenon_L27_); trivial.
% 51.27/51.44 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H53 | zenon_intro zenon_H8a ].
% 51.27/51.44 apply (zenon_L18_); trivial.
% 51.27/51.44 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H64 | zenon_intro zenon_H71 ].
% 51.27/51.44 apply (zenon_L30_); trivial.
% 51.27/51.44 apply (zenon_L50_); trivial.
% 51.27/51.44 (* end of lemma zenon_L345_ *)
% 51.27/51.44 assert (zenon_L346_ : (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e13))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> ((op1 (e13) (e10)) = (e12)) -> (~((e12) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e12) (e13)) = (e13)) -> ((op1 (e13) (e12)) = (e13)) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> False).
% 51.27/51.44 do 0 intro. intros zenon_Hb0 zenon_H3d zenon_He1 zenon_H41 zenon_Hea zenon_Hc8 zenon_Hb8 zenon_H42 zenon_Hc2 zenon_H8c zenon_He8 zenon_H4b zenon_Hcf zenon_H19 zenon_Hab zenon_H1c zenon_H2c zenon_H95 zenon_H54 zenon_H9e zenon_H96 zenon_Hcc zenon_H49 zenon_Hda.
% 51.27/51.44 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H50 | zenon_intro zenon_Hb1 ].
% 51.27/51.44 apply (zenon_L60_); trivial.
% 51.27/51.44 apply (zenon_or_s _ _ zenon_Hb1); [ zenon_intro zenon_Ha5 | zenon_intro zenon_Hb2 ].
% 51.27/51.44 apply (zenon_L33_); trivial.
% 51.27/51.44 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_Haa | zenon_intro zenon_H51 ].
% 51.27/51.44 apply (zenon_L34_); trivial.
% 51.27/51.44 apply (zenon_L345_); trivial.
% 51.27/51.44 (* end of lemma zenon_L346_ *)
% 51.27/51.44 assert (zenon_L347_ : (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> ((op1 (e13) (e12)) = (e13)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> ((op1 (e13) (e10)) = (e12)) -> (~((e10) = (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e10) = (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((e11) = (e13))) -> ((e11) = (op1 (e13) (e13))) -> False).
% 51.27/51.44 do 0 intro. intros zenon_Hb5 zenon_H10a zenon_H10e zenon_Hda zenon_H49 zenon_Hcc zenon_H9e zenon_H54 zenon_H95 zenon_H2c zenon_H1c zenon_Hab zenon_Hcf zenon_H4b zenon_He8 zenon_H8c zenon_Hc2 zenon_H42 zenon_Hb8 zenon_Hc8 zenon_Hea zenon_H41 zenon_He1 zenon_Hb0 zenon_H3d zenon_H19.
% 51.27/51.44 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H4a | zenon_intro zenon_Hb6 ].
% 51.27/51.44 apply (zenon_L15_); trivial.
% 51.27/51.44 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H51 | zenon_intro zenon_Hb7 ].
% 51.27/51.44 apply (zenon_L344_); trivial.
% 51.27/51.44 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb3 ].
% 51.27/51.44 apply (zenon_L346_); trivial.
% 51.27/51.44 apply (zenon_L37_); trivial.
% 51.27/51.44 (* end of lemma zenon_L347_ *)
% 51.27/51.44 assert (zenon_L348_ : (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((e11) = (op1 (e13) (e13))) -> (~((e11) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e11))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e12) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e10) = (e13))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> ((op1 (e13) (e10)) = (e12)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e11) (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 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> False).
% 51.27/51.44 do 0 intro. intros zenon_Hde zenon_H19 zenon_H3d zenon_Hb5 zenon_H8c zenon_He1 zenon_H54 zenon_He2 zenon_H7d zenon_H42 zenon_H35 zenon_H90 zenon_Hcf zenon_H4b zenon_He8 zenon_Hc2 zenon_Hb8 zenon_Hc8 zenon_H9e zenon_Hea zenon_H41 zenon_Hb0 zenon_Hab zenon_Hd3 zenon_H2c zenon_H1c zenon_Hda.
% 51.27/51.44 apply (zenon_or_s _ _ zenon_Hde); [ zenon_intro zenon_H49 | zenon_intro zenon_Hdf ].
% 51.27/51.44 apply (zenon_L62_); trivial.
% 51.27/51.44 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_Haa | zenon_intro zenon_He0 ].
% 51.27/51.44 apply (zenon_L34_); trivial.
% 51.27/51.44 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hd2 | zenon_intro zenon_Hd9 ].
% 51.27/51.44 apply (zenon_L45_); trivial.
% 51.27/51.44 apply (zenon_L46_); trivial.
% 51.27/51.44 (* end of lemma zenon_L348_ *)
% 51.27/51.44 assert (zenon_L349_ : (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((e11) = (op1 (e13) (e13))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e13)) -> ((op1 (e12) (e10)) = (e13)) -> ((op1 (e12) (e13)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e13) (e11)) = (e10)) -> (~((e10) = (e13))) -> ((op1 (e13) (e10)) = (e12)) -> (~((e12) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> False).
% 51.27/51.44 do 0 intro. intros zenon_Hde zenon_H19 zenon_H3d zenon_He1 zenon_H54 zenon_H51 zenon_He2 zenon_H62 zenon_H7d zenon_Hbe zenon_H42 zenon_He8 zenon_H4b zenon_Hcf zenon_Hab zenon_Hd3 zenon_H2c zenon_H1c zenon_Hda.
% 51.27/51.44 apply (zenon_or_s _ _ zenon_Hde); [ zenon_intro zenon_H49 | zenon_intro zenon_Hdf ].
% 51.27/51.44 apply (zenon_L67_); trivial.
% 51.27/51.44 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_Haa | zenon_intro zenon_He0 ].
% 51.27/51.44 apply (zenon_L34_); trivial.
% 51.27/51.44 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hd2 | zenon_intro zenon_Hd9 ].
% 51.27/51.44 apply (zenon_L45_); trivial.
% 51.27/51.44 apply (zenon_L46_); trivial.
% 51.27/51.44 (* end of lemma zenon_L349_ *)
% 51.27/51.44 assert (zenon_L350_ : (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> ((op1 (e13) (e10)) = (e12)) -> (~((e10) = (e13))) -> ((op1 (e13) (e11)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e12) (e10)) = (e13)) -> ((op1 (e11) (e13)) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e13))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> False).
% 51.27/51.44 do 0 intro. intros zenon_H90 zenon_H35 zenon_Hda zenon_H1c zenon_H2c zenon_Hd3 zenon_Hab zenon_Hcf zenon_H4b zenon_He8 zenon_H42 zenon_Hbe zenon_H7d zenon_He2 zenon_H51 zenon_H54 zenon_He1 zenon_H3d zenon_Hde zenon_H19 zenon_H8c.
% 51.27/51.44 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H4e | zenon_intro zenon_H91 ].
% 51.27/51.44 apply (zenon_L47_); trivial.
% 51.27/51.44 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H50 | zenon_intro zenon_H92 ].
% 51.27/51.44 apply (zenon_L17_); trivial.
% 51.27/51.44 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H62 | zenon_intro zenon_H8b ].
% 51.27/51.44 apply (zenon_L349_); trivial.
% 51.27/51.44 apply (zenon_L24_); trivial.
% 51.27/51.44 (* end of lemma zenon_L350_ *)
% 51.27/51.44 assert (zenon_L351_ : (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e13)) -> ((op1 (e12) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e10) = (e13))) -> ((op1 (e13) (e10)) = (e12)) -> (~((e12) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> False).
% 51.27/51.44 do 0 intro. intros zenon_Hc8 zenon_Hb8 zenon_Hde zenon_H3d zenon_He1 zenon_H54 zenon_H51 zenon_He2 zenon_H7d zenon_H42 zenon_He8 zenon_H4b zenon_Hcf zenon_Hab zenon_Hd3 zenon_H2c zenon_Hda zenon_H35 zenon_H90 zenon_Hc2 zenon_H1c zenon_H19 zenon_H8c.
% 51.27/51.44 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hc9 ].
% 51.27/51.44 apply (zenon_L39_); trivial.
% 51.27/51.44 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hca ].
% 51.27/51.44 apply (zenon_L350_); trivial.
% 51.27/51.44 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H8b ].
% 51.27/51.44 apply (zenon_L41_); trivial.
% 51.27/51.44 apply (zenon_L24_); trivial.
% 51.27/51.44 (* end of lemma zenon_L351_ *)
% 51.27/51.44 assert (zenon_L352_ : (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((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))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e12) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e10) = (e13))) -> ((op1 (e13) (e10)) = (e12)) -> (~((e12) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> False).
% 51.27/51.45 do 0 intro. intros zenon_Hf8 zenon_Hb0 zenon_Hea zenon_H9e zenon_Hb5 zenon_H46 zenon_H45 zenon_Hcb zenon_Hf0 zenon_Hec zenon_Hf3 zenon_Hc8 zenon_Hb8 zenon_Hde zenon_H3d zenon_He1 zenon_H54 zenon_He2 zenon_H7d zenon_H42 zenon_He8 zenon_H4b zenon_Hcf zenon_Hab zenon_Hd3 zenon_H2c zenon_Hda zenon_H35 zenon_H90 zenon_Hc2 zenon_H1c zenon_H19 zenon_H8c.
% 51.27/51.45 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H41 | zenon_intro zenon_Hf9 ].
% 51.27/51.45 apply (zenon_L348_); trivial.
% 51.27/51.45 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H47 | zenon_intro zenon_Hfa ].
% 51.27/51.45 apply (zenon_L13_); trivial.
% 51.27/51.45 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H51 ].
% 51.27/51.45 apply (zenon_L65_); trivial.
% 51.27/51.45 apply (zenon_L351_); trivial.
% 51.27/51.45 (* end of lemma zenon_L352_ *)
% 51.27/51.45 assert (zenon_L353_ : (~((e10) = (e11))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> ((op1 (e13) (e10)) = (e12)) -> (~((e10) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (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 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((op1 (e12) (e11)) = (e12)) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((op1 (e11) (e11)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((e11) = (e13))) -> ((e11) = (op1 (e13) (e13))) -> False).
% 51.27/51.45 do 0 intro. intros zenon_H8c zenon_H1c zenon_Hc2 zenon_H90 zenon_H35 zenon_Hda zenon_H2c zenon_Hd3 zenon_Hab zenon_Hcf zenon_H4b zenon_He8 zenon_H42 zenon_H7d zenon_H54 zenon_He1 zenon_Hde zenon_Hb8 zenon_Hc8 zenon_Hf3 zenon_Hec zenon_Hf0 zenon_Hcb zenon_H45 zenon_Hb5 zenon_H9e zenon_Hea zenon_Hb0 zenon_Hf8 zenon_H2c8 zenon_H49 zenon_H2ff zenon_H10e zenon_H95 zenon_H41 zenon_H123 zenon_H311 zenon_H2ba zenon_H30b zenon_H1b zenon_H2d4 zenon_H3d zenon_H19.
% 51.27/51.45 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H66 | zenon_intro zenon_Hd0 ].
% 51.27/51.45 apply (zenon_L57_); trivial.
% 51.27/51.45 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hd1 ].
% 51.27/51.45 apply (zenon_L42_); trivial.
% 51.27/51.45 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hb3 ].
% 51.27/51.45 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_H1d | zenon_intro zenon_H2d5 ].
% 51.27/51.45 apply (zenon_L4_); trivial.
% 51.27/51.45 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H104 | zenon_intro zenon_H2d6 ].
% 51.27/51.45 apply (zenon_L340_); trivial.
% 51.27/51.45 apply (zenon_or_s _ _ zenon_H2d6); [ zenon_intro zenon_H2bb | zenon_intro zenon_H46 ].
% 51.27/51.45 apply (zenon_L281_); trivial.
% 51.27/51.45 apply (zenon_or_s _ _ zenon_H311); [ zenon_intro zenon_H121 | zenon_intro zenon_H312 ].
% 51.27/51.45 apply (zenon_L343_); trivial.
% 51.27/51.45 apply (zenon_or_s _ _ zenon_H312); [ zenon_intro zenon_H10a | zenon_intro zenon_H313 ].
% 51.27/51.45 apply (zenon_L347_); trivial.
% 51.27/51.45 apply (zenon_or_s _ _ zenon_H313); [ zenon_intro zenon_H7c | zenon_intro zenon_He2 ].
% 51.27/51.45 apply (zenon_L332_); trivial.
% 51.27/51.45 apply (zenon_L352_); trivial.
% 51.27/51.45 apply (zenon_L37_); trivial.
% 51.27/51.45 (* end of lemma zenon_L353_ *)
% 51.27/51.45 assert (zenon_L354_ : (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e13))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> ((op1 (e13) (e10)) = (e12)) -> (~((e12) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e12) (e10)) = (e11)) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e11) = (e13))) -> ((e11) = (op1 (e13) (e13))) -> False).
% 51.27/51.45 do 0 intro. intros zenon_Hb0 zenon_He1 zenon_H41 zenon_Hea zenon_Hc8 zenon_Hb8 zenon_H42 zenon_Hc2 zenon_H8c zenon_He8 zenon_H4b zenon_Hcf zenon_Hab zenon_H1c zenon_H2c zenon_H95 zenon_H54 zenon_H9e zenon_H49 zenon_Hda zenon_H10e zenon_H10a zenon_Hb5 zenon_H3d zenon_H19.
% 51.27/51.45 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H66 | zenon_intro zenon_Hd0 ].
% 51.27/51.45 apply (zenon_L57_); trivial.
% 51.27/51.45 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hd1 ].
% 51.27/51.45 apply (zenon_L42_); trivial.
% 51.27/51.45 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hb3 ].
% 51.27/51.45 apply (zenon_L347_); trivial.
% 51.27/51.45 apply (zenon_L37_); trivial.
% 51.27/51.45 (* end of lemma zenon_L354_ *)
% 51.27/51.45 assert (zenon_L355_ : (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> ((op1 (e13) (e12)) = (e13)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e12) (e13)) = (e13)) -> False).
% 51.27/51.45 do 0 intro. intros zenon_Hb0 zenon_Hda zenon_H49 zenon_Hcc zenon_H9e zenon_Hea zenon_H41 zenon_He1 zenon_H19 zenon_H54 zenon_Hab zenon_H1c zenon_H2c zenon_Haf zenon_H96.
% 51.27/51.45 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H50 | zenon_intro zenon_Hb1 ].
% 51.27/51.45 apply (zenon_L59_); trivial.
% 51.27/51.45 apply (zenon_or_s _ _ zenon_Hb1); [ zenon_intro zenon_Ha5 | zenon_intro zenon_Hb2 ].
% 51.27/51.45 apply (zenon_L33_); trivial.
% 51.27/51.45 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_Haa | zenon_intro zenon_H51 ].
% 51.27/51.45 apply (zenon_L34_); trivial.
% 51.27/51.45 apply (zenon_L35_); trivial.
% 51.27/51.45 (* end of lemma zenon_L355_ *)
% 51.27/51.45 assert (zenon_L356_ : (~((e10) = (e11))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e10) = (e13))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op1 (e12) (e12)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e10)) = (e12)) -> (~((e12) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e12)) = (e13)) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((e11) = (e13))) -> ((e11) = (op1 (e13) (e13))) -> False).
% 51.27/51.45 do 0 intro. intros zenon_H8c zenon_H7d zenon_H42 zenon_H35 zenon_H90 zenon_H304 zenon_H305 zenon_Hc8 zenon_Hb8 zenon_Hc2 zenon_He8 zenon_H4b zenon_Hcf zenon_H95 zenon_H10e zenon_Hb5 zenon_Hd3 zenon_Hde zenon_H123 zenon_H311 zenon_Haf zenon_H2c zenon_H1c zenon_Hab zenon_H54 zenon_He1 zenon_H41 zenon_Hea zenon_H9e zenon_Hcc zenon_H49 zenon_Hda zenon_Hb0 zenon_H3d zenon_H19.
% 51.27/51.45 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H4a | zenon_intro zenon_Hb6 ].
% 51.27/51.45 apply (zenon_L335_); trivial.
% 51.27/51.45 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H51 | zenon_intro zenon_Hb7 ].
% 51.27/51.45 apply (zenon_or_s _ _ zenon_H311); [ zenon_intro zenon_H121 | zenon_intro zenon_H312 ].
% 51.27/51.45 apply (zenon_L342_); trivial.
% 51.27/51.45 apply (zenon_or_s _ _ zenon_H312); [ zenon_intro zenon_H10a | zenon_intro zenon_H313 ].
% 51.27/51.45 apply (zenon_L354_); trivial.
% 51.27/51.45 apply (zenon_or_s _ _ zenon_H313); [ zenon_intro zenon_H7c | zenon_intro zenon_He2 ].
% 51.27/51.45 apply (zenon_L334_); trivial.
% 51.27/51.45 apply (zenon_L52_); trivial.
% 51.27/51.45 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb3 ].
% 51.27/51.45 apply (zenon_L355_); trivial.
% 51.27/51.45 apply (zenon_L37_); trivial.
% 51.27/51.45 (* end of lemma zenon_L356_ *)
% 51.27/51.45 assert (zenon_L357_ : ((op1 (e13) (e11)) = (e10)) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> ((op1 (e13) (e10)) = (e12)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (e12) (e12)) = (e12)) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e12))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e10) = (e11))) -> (~((e11) = (e13))) -> ((e11) = (op1 (e13) (e13))) -> False).
% 51.27/51.45 do 0 intro. intros zenon_Hbe zenon_Hb0 zenon_Hda zenon_H49 zenon_H9e zenon_Hea zenon_H41 zenon_He1 zenon_H54 zenon_Hab zenon_H1c zenon_H2c zenon_Haf zenon_H311 zenon_H123 zenon_Hde zenon_Hd3 zenon_Hb5 zenon_H10e zenon_H95 zenon_Hcf zenon_H4b zenon_He8 zenon_Hc2 zenon_Hb8 zenon_Hc8 zenon_H305 zenon_H304 zenon_H90 zenon_H35 zenon_H42 zenon_H7d zenon_H8c zenon_H3d zenon_H19.
% 51.27/51.45 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H66 | zenon_intro zenon_Hd0 ].
% 51.27/51.45 apply (zenon_L57_); trivial.
% 51.27/51.45 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hd1 ].
% 51.27/51.45 apply (zenon_L40_); trivial.
% 51.27/51.45 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hb3 ].
% 51.27/51.45 apply (zenon_L356_); trivial.
% 51.27/51.45 apply (zenon_L37_); trivial.
% 51.27/51.45 (* end of lemma zenon_L357_ *)
% 51.27/51.45 assert (zenon_L358_ : (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e11) (e11)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((e10) = (e11))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> ((op1 (e13) (e10)) = (e12)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e12))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e11) = (e13))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> False).
% 51.27/51.45 do 0 intro. intros zenon_H314 zenon_H30d zenon_H2d4 zenon_H1b zenon_H30b zenon_H2ba zenon_H2ff zenon_Hf8 zenon_H45 zenon_Hcb zenon_Hf0 zenon_Hec zenon_Hf3 zenon_H8c zenon_H19 zenon_Hc2 zenon_Hb0 zenon_Hda zenon_H49 zenon_H9e zenon_Hea zenon_H41 zenon_He1 zenon_H54 zenon_Hab zenon_Haf zenon_H311 zenon_H123 zenon_Hde zenon_Hb5 zenon_H10e zenon_H95 zenon_Hcf zenon_H4b zenon_He8 zenon_Hb8 zenon_Hc8 zenon_H305 zenon_H90 zenon_H35 zenon_H42 zenon_H7d zenon_H3d zenon_H2c zenon_H1c zenon_Hd3.
% 51.27/51.45 apply (zenon_or_s _ _ zenon_H314); [ zenon_intro zenon_H7c | zenon_intro zenon_H315 ].
% 51.27/51.45 apply (zenon_L341_); trivial.
% 51.27/51.45 apply (zenon_or_s _ _ zenon_H315); [ zenon_intro zenon_H2c8 | zenon_intro zenon_H316 ].
% 51.27/51.45 apply (zenon_L353_); trivial.
% 51.27/51.45 apply (zenon_or_s _ _ zenon_H316); [ zenon_intro zenon_H304 | zenon_intro zenon_Hd2 ].
% 51.27/51.45 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hc9 ].
% 51.27/51.45 apply (zenon_L39_); trivial.
% 51.27/51.45 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hca ].
% 51.27/51.45 apply (zenon_L357_); trivial.
% 51.27/51.45 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H8b ].
% 51.27/51.45 apply (zenon_L41_); trivial.
% 51.27/51.45 apply (zenon_L24_); trivial.
% 51.27/51.45 apply (zenon_L45_); trivial.
% 51.27/51.45 (* end of lemma zenon_L358_ *)
% 51.27/51.45 assert (zenon_L359_ : ((op1 (e11) (e12)) = (e10)) -> ((op1 (e11) (e12)) = (e11)) -> (~((e10) = (e11))) -> False).
% 51.27/51.45 do 0 intro. intros zenon_H126 zenon_H129 zenon_H8c.
% 51.27/51.45 elim (classic ((e11) = (e11))); [ zenon_intro zenon_H8d | zenon_intro zenon_H3a ].
% 51.27/51.45 cut (((e11) = (e11)) = ((e10) = (e11))).
% 51.27/51.45 intro zenon_D_pnotp.
% 51.27/51.45 apply zenon_H8c.
% 51.27/51.45 rewrite <- zenon_D_pnotp.
% 51.27/51.45 exact zenon_H8d.
% 51.27/51.45 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H3a].
% 51.27/51.45 cut (((e11) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H8e].
% 51.27/51.45 congruence.
% 51.27/51.45 cut (((op1 (e11) (e12)) = (e10)) = ((e11) = (e10))).
% 51.27/51.45 intro zenon_D_pnotp.
% 51.27/51.45 apply zenon_H8e.
% 51.27/51.45 rewrite <- zenon_D_pnotp.
% 51.27/51.45 exact zenon_H126.
% 51.27/51.45 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H32].
% 51.27/51.45 cut (((op1 (e11) (e12)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H317].
% 51.27/51.45 congruence.
% 51.27/51.45 exact (zenon_H317 zenon_H129).
% 51.27/51.45 apply zenon_H32. apply refl_equal.
% 51.27/51.45 apply zenon_H3a. apply refl_equal.
% 51.27/51.45 apply zenon_H3a. apply refl_equal.
% 51.27/51.45 (* end of lemma zenon_L359_ *)
% 51.27/51.45 assert (zenon_L360_ : (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e11) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e11) (e13)) = (e10)) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e10)) = (e12)) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> False).
% 51.27/51.45 do 0 intro. intros zenon_Hc8 zenon_Hb8 zenon_H3d zenon_Hb5 zenon_H4b zenon_H42 zenon_Hda zenon_H49 zenon_H9e zenon_Hea zenon_H50 zenon_H41 zenon_He1 zenon_He8 zenon_Hcf zenon_Hc2 zenon_H1c zenon_H19 zenon_H8c.
% 51.27/51.45 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hc9 ].
% 51.27/51.45 apply (zenon_L39_); trivial.
% 51.27/51.45 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hca ].
% 51.27/51.45 apply (zenon_L94_); trivial.
% 51.27/51.45 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H8b ].
% 51.27/51.45 apply (zenon_L41_); trivial.
% 51.27/51.45 apply (zenon_L24_); trivial.
% 51.27/51.45 (* end of lemma zenon_L360_ *)
% 51.27/51.45 assert (zenon_L361_ : ((op1 (e10) (e13)) = (e12)) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((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)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> ((op1 (e10) (e10)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((e10) = (e11))) -> ((e11) = (op1 (e13) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e13))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (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 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((op1 (e10) (e11)) = (e13)) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((op1 (e13) (e10)) = (e12)) -> (~((e12) = (e13))) -> False).
% 51.27/51.45 do 0 intro. intros zenon_H49 zenon_H318 zenon_H305 zenon_H95 zenon_H10e zenon_H123 zenon_H311 zenon_Haf zenon_H2ff zenon_H2ba zenon_H1b zenon_H2d4 zenon_H30d zenon_H314 zenon_Hfb zenon_H3b zenon_Hf6 zenon_H2e0 zenon_H8c zenon_H19 zenon_H1c zenon_Hc2 zenon_H90 zenon_H35 zenon_Hda zenon_H2c zenon_Hd3 zenon_Hab zenon_Hcf zenon_H42 zenon_H7d zenon_H54 zenon_He1 zenon_H3d zenon_Hde zenon_Hb8 zenon_Hc8 zenon_Hf3 zenon_Hec zenon_Hf0 zenon_Hcb zenon_H45 zenon_H46 zenon_Hb5 zenon_H9e zenon_Hea zenon_Hb0 zenon_Hf8 zenon_He8 zenon_H4b.
% 51.27/51.45 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hfc ].
% 51.27/51.45 apply (zenon_L11_); trivial.
% 51.27/51.45 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H41 | zenon_intro zenon_Hfd ].
% 51.27/51.45 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H33 | zenon_intro zenon_H2e2 ].
% 51.27/51.45 apply (zenon_L71_); trivial.
% 51.27/51.45 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2e3 ].
% 51.27/51.45 apply (zenon_L283_); trivial.
% 51.27/51.45 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H126 | zenon_intro zenon_H50 ].
% 51.27/51.45 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H108 | zenon_intro zenon_H319 ].
% 51.27/51.45 apply (zenon_L328_); trivial.
% 51.27/51.45 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H30b | zenon_intro zenon_H31a ].
% 51.27/51.45 apply (zenon_L358_); trivial.
% 51.27/51.45 apply (zenon_or_s _ _ zenon_H31a); [ zenon_intro zenon_H129 | zenon_intro zenon_Ha5 ].
% 51.27/51.45 apply (zenon_L359_); trivial.
% 51.27/51.45 apply (zenon_L33_); trivial.
% 51.27/51.45 apply (zenon_L360_); trivial.
% 51.27/51.45 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_He2 | zenon_intro zenon_H66 ].
% 51.27/51.45 apply (zenon_L352_); trivial.
% 51.27/51.45 apply (zenon_L57_); trivial.
% 51.27/51.45 (* end of lemma zenon_L361_ *)
% 51.27/51.45 assert (zenon_L362_ : (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e13)) -> ((op1 (e13) (e10)) = (e13)) -> ((op1 (e12) (e13)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e13) (e12)) = (e13)) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> False).
% 51.27/51.45 do 0 intro. intros zenon_He1 zenon_H54 zenon_H51 zenon_H66 zenon_H62 zenon_H65 zenon_Hcc zenon_H49 zenon_Hda.
% 51.27/51.45 apply (zenon_or_s _ _ ax10); [ zenon_intro zenon_H7f | zenon_intro zenon_H7e ].
% 51.27/51.45 apply (zenon_L48_); trivial.
% 51.27/51.45 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H53 | zenon_intro zenon_H8a ].
% 51.27/51.45 apply (zenon_L18_); trivial.
% 51.27/51.45 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H64 | zenon_intro zenon_H71 ].
% 51.27/51.45 apply (zenon_L20_); trivial.
% 51.27/51.45 apply (zenon_L50_); trivial.
% 51.27/51.45 (* end of lemma zenon_L362_ *)
% 51.27/51.45 assert (zenon_L363_ : (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e13) (e12)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e12) (e13)) = (e10)) -> ((op1 (e13) (e10)) = (e13)) -> ((op1 (e11) (e13)) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> False).
% 51.27/51.45 do 0 intro. intros zenon_Hde zenon_Hcc zenon_H65 zenon_H62 zenon_H66 zenon_H51 zenon_H54 zenon_He1 zenon_Hab zenon_Hd3 zenon_H2c zenon_H1c zenon_Hda.
% 51.27/51.45 apply (zenon_or_s _ _ zenon_Hde); [ zenon_intro zenon_H49 | zenon_intro zenon_Hdf ].
% 51.27/51.45 apply (zenon_L362_); trivial.
% 51.27/51.45 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_Haa | zenon_intro zenon_He0 ].
% 51.27/51.45 apply (zenon_L34_); trivial.
% 51.27/51.45 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hd2 | zenon_intro zenon_Hd9 ].
% 51.27/51.45 apply (zenon_L45_); trivial.
% 51.27/51.45 apply (zenon_L46_); trivial.
% 51.27/51.45 (* end of lemma zenon_L363_ *)
% 51.27/51.45 assert (zenon_L364_ : (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e12))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e13)) -> ((op1 (e13) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e13) (e12)) = (e13)) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> False).
% 51.27/51.45 do 0 intro. intros zenon_H90 zenon_H35 zenon_H42 zenon_Hda zenon_H1c zenon_H2c zenon_Hd3 zenon_Hab zenon_He1 zenon_H54 zenon_H51 zenon_H66 zenon_H65 zenon_Hcc zenon_Hde zenon_H19 zenon_H8c.
% 51.27/51.45 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H4e | zenon_intro zenon_H91 ].
% 51.27/51.45 apply (zenon_L47_); trivial.
% 51.27/51.45 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H50 | zenon_intro zenon_H92 ].
% 51.27/51.45 apply (zenon_L17_); trivial.
% 51.27/51.45 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H62 | zenon_intro zenon_H8b ].
% 51.27/51.45 apply (zenon_L363_); trivial.
% 51.27/51.45 apply (zenon_L24_); trivial.
% 51.27/51.45 (* end of lemma zenon_L364_ *)
% 51.27/51.45 assert (zenon_L365_ : (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((e12) = (e13))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((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))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e11) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> ((op1 (e10) (e10)) = (e11)) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((op1 (e10) (e13)) = (e12)) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e12))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e13) (e12)) = (e13)) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> False).
% 51.27/51.45 do 0 intro. intros zenon_H31b zenon_H113 zenon_H4b zenon_Hf8 zenon_Hb0 zenon_Hea zenon_H9e zenon_Hb5 zenon_H46 zenon_H45 zenon_Hcb zenon_Hf0 zenon_Hec zenon_Hf3 zenon_Hc8 zenon_Hb8 zenon_H3d zenon_H7d zenon_Hcf zenon_Hc2 zenon_H2e0 zenon_Hf6 zenon_H3b zenon_Hfb zenon_H314 zenon_H30d zenon_H2d4 zenon_H1b zenon_H2ba zenon_H2ff zenon_Haf zenon_H311 zenon_H123 zenon_H10e zenon_H95 zenon_H305 zenon_H318 zenon_H49 zenon_H90 zenon_H35 zenon_H42 zenon_Hda zenon_H1c zenon_H2c zenon_Hd3 zenon_Hab zenon_He1 zenon_H54 zenon_H51 zenon_H65 zenon_Hcc zenon_Hde zenon_H19 zenon_H8c.
% 51.27/51.45 apply (zenon_or_s _ _ zenon_H31b); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H31c ].
% 51.27/51.45 apply (zenon_L39_); trivial.
% 51.27/51.45 apply (zenon_or_s _ _ zenon_H31c); [ zenon_intro zenon_H114 | zenon_intro zenon_H31d ].
% 51.27/51.45 apply (zenon_L82_); trivial.
% 51.27/51.45 apply (zenon_or_s _ _ zenon_H31d); [ zenon_intro zenon_He8 | zenon_intro zenon_H66 ].
% 51.27/51.45 apply (zenon_L361_); trivial.
% 51.27/51.45 apply (zenon_L364_); trivial.
% 51.27/51.45 (* end of lemma zenon_L365_ *)
% 51.27/51.45 assert (zenon_L366_ : ((op1 (e11) (e11)) = (e11)) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((e12) = (e13))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((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))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e11) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> ((op1 (e10) (e10)) = (e11)) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((op1 (e10) (e13)) = (e12)) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e12))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e13) (e12)) = (e13)) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> False).
% 51.27/51.45 do 0 intro. intros zenon_H30b zenon_H31b zenon_H113 zenon_H4b zenon_Hf8 zenon_Hb0 zenon_Hea zenon_H9e zenon_Hb5 zenon_H45 zenon_Hcb zenon_Hf0 zenon_Hec zenon_Hf3 zenon_Hc8 zenon_Hb8 zenon_H3d zenon_H7d zenon_Hcf zenon_Hc2 zenon_H2e0 zenon_Hf6 zenon_H3b zenon_Hfb zenon_H314 zenon_H30d zenon_H2d4 zenon_H1b zenon_H2ba zenon_H2ff zenon_Haf zenon_H311 zenon_H123 zenon_H10e zenon_H95 zenon_H305 zenon_H318 zenon_H49 zenon_H90 zenon_H35 zenon_H42 zenon_Hda zenon_H1c zenon_H2c zenon_Hd3 zenon_Hab zenon_He1 zenon_H54 zenon_H51 zenon_H65 zenon_Hcc zenon_Hde zenon_H19 zenon_H8c.
% 51.27/51.45 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_H1d | zenon_intro zenon_H2d5 ].
% 51.27/51.45 apply (zenon_L4_); trivial.
% 51.27/51.45 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H104 | zenon_intro zenon_H2d6 ].
% 51.27/51.45 apply (zenon_L340_); trivial.
% 51.27/51.45 apply (zenon_or_s _ _ zenon_H2d6); [ zenon_intro zenon_H2bb | zenon_intro zenon_H46 ].
% 51.27/51.45 apply (zenon_L281_); trivial.
% 51.27/51.45 apply (zenon_L365_); trivial.
% 51.27/51.45 (* end of lemma zenon_L366_ *)
% 51.27/51.45 assert (zenon_L367_ : (~((e10) = (e11))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((e10) = (e13))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((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)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> ((op1 (e10) (e10)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (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 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> ((op1 (e11) (e11)) = (e11)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e12)) = (e13)) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((e11) = (e13))) -> ((e11) = (op1 (e13) (e13))) -> False).
% 51.27/51.45 do 0 intro. intros zenon_H8c zenon_Hde zenon_H65 zenon_Hd3 zenon_H42 zenon_H35 zenon_H90 zenon_H318 zenon_H305 zenon_H95 zenon_H10e zenon_H123 zenon_H311 zenon_H2ff zenon_H2ba zenon_H1b zenon_H2d4 zenon_H30d zenon_H314 zenon_Hfb zenon_H3b zenon_Hf6 zenon_H2e0 zenon_Hc2 zenon_Hcf zenon_H7d zenon_Hb8 zenon_Hc8 zenon_Hf3 zenon_Hec zenon_Hf0 zenon_Hcb zenon_H45 zenon_Hb5 zenon_Hf8 zenon_H4b zenon_H113 zenon_H31b zenon_H30b zenon_Haf zenon_H2c zenon_H1c zenon_Hab zenon_H54 zenon_He1 zenon_H41 zenon_Hea zenon_H9e zenon_Hcc zenon_H49 zenon_Hda zenon_Hb0 zenon_H3d zenon_H19.
% 51.27/51.45 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H4a | zenon_intro zenon_Hb6 ].
% 51.27/51.45 apply (zenon_L335_); trivial.
% 51.27/51.45 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H51 | zenon_intro zenon_Hb7 ].
% 51.27/51.45 apply (zenon_L366_); trivial.
% 51.27/51.45 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb3 ].
% 51.27/51.45 apply (zenon_L355_); trivial.
% 51.27/51.45 apply (zenon_L37_); trivial.
% 51.27/51.45 (* end of lemma zenon_L367_ *)
% 51.27/51.45 assert (zenon_L368_ : (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e11) (e12)) = (e10)) -> ((op1 (e13) (e11)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> ((op1 (e13) (e12)) = (e12)) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e11)) = (e11)) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((e12) = (e13))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((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))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> ((op1 (e10) (e10)) = (e11)) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e12))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e11))) -> (~((e11) = (e13))) -> ((e11) = (op1 (e13) (e13))) -> False).
% 51.27/51.45 do 0 intro. intros zenon_H2db zenon_H126 zenon_Hbe zenon_H2ce zenon_He6 zenon_H72 zenon_Hf1 zenon_Hb0 zenon_Hda zenon_H49 zenon_H9e zenon_Hea zenon_H41 zenon_He1 zenon_H54 zenon_Hab zenon_H1c zenon_H2c zenon_Haf zenon_H30b zenon_H31b zenon_H113 zenon_H4b zenon_Hf8 zenon_Hb5 zenon_H45 zenon_Hcb zenon_Hf0 zenon_Hec zenon_Hf3 zenon_Hc8 zenon_Hb8 zenon_H7d zenon_Hcf zenon_Hc2 zenon_H2e0 zenon_Hf6 zenon_H3b zenon_Hfb zenon_H314 zenon_H30d zenon_H2d4 zenon_H1b zenon_H2ba zenon_H2ff zenon_H311 zenon_H123 zenon_H10e zenon_H95 zenon_H305 zenon_H318 zenon_H90 zenon_H35 zenon_H42 zenon_Hd3 zenon_H65 zenon_Hde zenon_H8c zenon_H3d zenon_H19.
% 51.27/51.45 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H66 | zenon_intro zenon_Hd0 ].
% 51.27/51.45 apply (zenon_L339_); trivial.
% 51.27/51.45 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hd1 ].
% 51.27/51.45 apply (zenon_L42_); trivial.
% 51.27/51.45 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hb3 ].
% 51.27/51.45 apply (zenon_L367_); trivial.
% 51.27/51.45 apply (zenon_L37_); trivial.
% 51.27/51.45 (* end of lemma zenon_L368_ *)
% 51.27/51.45 assert (zenon_L369_ : (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e10) = (e12))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (e12) (e10)) = (e12)) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e11) (e13)) = (e10)) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((e11) = (e13))) -> ((e11) = (op1 (e13) (e13))) -> False).
% 51.27/51.45 do 0 intro. intros zenon_H31e zenon_H2be zenon_H8c zenon_Hc2 zenon_H35 zenon_Hb8 zenon_Hc8 zenon_H2ff zenon_Ha2 zenon_H2ba zenon_H2e1 zenon_H305 zenon_H7c zenon_Hb5 zenon_Hda zenon_H1c zenon_H2c zenon_Hd3 zenon_Hab zenon_H4b zenon_Hde zenon_H42 zenon_He1 zenon_H9e zenon_Hea zenon_H50 zenon_H41 zenon_H95 zenon_H49 zenon_H3d zenon_H19.
% 51.27/51.45 apply (zenon_or_s _ _ zenon_H31e); [ zenon_intro zenon_H2bf | zenon_intro zenon_H31f ].
% 51.27/51.45 apply (zenon_L282_); trivial.
% 51.27/51.45 apply (zenon_or_s _ _ zenon_H31f); [ zenon_intro zenon_H12b | zenon_intro zenon_H320 ].
% 51.27/51.45 apply (zenon_L333_); trivial.
% 51.27/51.45 apply (zenon_or_s _ _ zenon_H320); [ zenon_intro zenon_H304 | zenon_intro zenon_Hf1 ].
% 51.27/51.45 apply (zenon_L334_); trivial.
% 51.27/51.45 apply (zenon_L338_); trivial.
% 51.27/51.45 (* end of lemma zenon_L369_ *)
% 51.27/51.45 assert (zenon_L370_ : (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((op1 (e11) (e10)) = (e10)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((op1 (e10) (e10)) = (e11)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e12) (e10)) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e13))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> False).
% 51.27/51.45 do 0 intro. intros zenon_Hf8 zenon_H33 zenon_H45 zenon_H2ba zenon_H3b zenon_H105 zenon_H1b zenon_H2d4 zenon_Hcb zenon_Hb5 zenon_H4b zenon_Haf zenon_H95 zenon_H9e zenon_Ha2 zenon_Hb0 zenon_Hc8 zenon_Hb8 zenon_Hcf zenon_H72 zenon_H65 zenon_He6 zenon_H2ce zenon_H42 zenon_Hda zenon_H49 zenon_H7d zenon_He2 zenon_H54 zenon_He1 zenon_H3d zenon_Hde zenon_H35 zenon_Hab zenon_Hd3 zenon_H2c zenon_H90 zenon_Hc2 zenon_H1c zenon_H19 zenon_H8c.
% 51.27/51.45 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H41 | zenon_intro zenon_Hf9 ].
% 51.27/51.45 apply (zenon_L12_); trivial.
% 51.27/51.45 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H47 | zenon_intro zenon_Hfa ].
% 51.27/51.45 apply (zenon_L299_); trivial.
% 51.27/51.45 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H51 ].
% 51.27/51.45 apply (zenon_L295_); trivial.
% 51.27/51.45 apply (zenon_L320_); trivial.
% 51.27/51.45 (* end of lemma zenon_L370_ *)
% 51.27/51.45 assert (zenon_L371_ : (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((op1 (e12) (e10)) = (e12)) -> ((op1 (e10) (e13)) = (e12)) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((op1 (e13) (e11)) = (e10)) -> (~((e10) = (e12))) -> False).
% 51.27/51.45 do 0 intro. intros zenon_H2e1 zenon_H2ba zenon_Ha2 zenon_H12b zenon_H2ff zenon_H1c zenon_H7c zenon_H49 zenon_H2c zenon_Hbe zenon_H35.
% 51.27/51.45 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H2bb | zenon_intro zenon_H2e4 ].
% 51.27/51.45 apply (zenon_L281_); trivial.
% 51.27/51.45 apply (zenon_or_s _ _ zenon_H2e4); [ zenon_intro zenon_H2c6 | zenon_intro zenon_H2e5 ].
% 51.27/51.45 apply (zenon_L331_); trivial.
% 51.27/51.45 apply (zenon_or_s _ _ zenon_H2e5); [ zenon_intro zenon_H2c8 | zenon_intro zenon_H2de ].
% 51.27/51.45 apply (zenon_L332_); trivial.
% 51.27/51.45 apply (zenon_L308_); trivial.
% 51.27/51.45 (* end of lemma zenon_L371_ *)
% 51.27/51.45 assert (zenon_L372_ : (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e11))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e13)) -> ((op1 (e12) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e13) (e12)) = (e13)) -> (~((e10) = (e13))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> False).
% 51.27/51.45 do 0 intro. intros zenon_Hde zenon_H8c zenon_H19 zenon_He1 zenon_H54 zenon_H51 zenon_He2 zenon_H7d zenon_Hcc zenon_H42 zenon_H35 zenon_H90 zenon_Hab zenon_Hd3 zenon_H2c zenon_H1c zenon_Hda.
% 51.27/51.45 apply (zenon_or_s _ _ zenon_Hde); [ zenon_intro zenon_H49 | zenon_intro zenon_Hdf ].
% 51.27/51.45 apply (zenon_L52_); trivial.
% 51.27/51.45 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_Haa | zenon_intro zenon_He0 ].
% 51.27/51.45 apply (zenon_L34_); trivial.
% 51.27/51.45 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hd2 | zenon_intro zenon_Hd9 ].
% 51.27/51.45 apply (zenon_L45_); trivial.
% 51.27/51.45 apply (zenon_L46_); trivial.
% 51.27/51.45 (* end of lemma zenon_L372_ *)
% 51.27/51.45 assert (zenon_L373_ : (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e12))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e12) (e10)) = (e13)) -> (~((e10) = (e11))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e12)) = (e13)) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((e11) = (e13))) -> ((e11) = (op1 (e13) (e13))) -> False).
% 51.27/51.45 do 0 intro. intros zenon_Hb5 zenon_H4b zenon_Hd3 zenon_H90 zenon_H35 zenon_H42 zenon_H7d zenon_He2 zenon_H8c zenon_Hde zenon_Haf zenon_H2c zenon_H1c zenon_Hab zenon_H54 zenon_He1 zenon_H41 zenon_Hea zenon_H9e zenon_Hcc zenon_H49 zenon_Hda zenon_Hb0 zenon_H3d zenon_H19.
% 51.27/51.45 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H4a | zenon_intro zenon_Hb6 ].
% 51.27/51.45 apply (zenon_L335_); trivial.
% 51.27/51.45 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H51 | zenon_intro zenon_Hb7 ].
% 51.27/51.45 apply (zenon_L372_); trivial.
% 51.27/51.45 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb3 ].
% 51.27/51.45 apply (zenon_L355_); trivial.
% 51.27/51.45 apply (zenon_L37_); trivial.
% 51.27/51.45 (* end of lemma zenon_L373_ *)
% 51.27/51.45 assert (zenon_L374_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e12) (e13)) = (e10)) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e13) (e11)) = (e10)) -> ((op1 (e11) (e12)) = (e10)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e11))) -> ((op1 (e12) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e10) = (e13))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e11) = (e13))) -> ((e11) = (op1 (e13) (e13))) -> False).
% 51.27/51.45 do 0 intro. intros zenon_Hcf zenon_H72 zenon_H65 zenon_H62 zenon_He6 zenon_H2ce zenon_Hbe zenon_H126 zenon_H2db zenon_Hc2 zenon_Hb8 zenon_Hc8 zenon_Hb0 zenon_Hda zenon_H49 zenon_H9e zenon_Hea zenon_H41 zenon_He1 zenon_H54 zenon_Hab zenon_H1c zenon_H2c zenon_Haf zenon_Hde zenon_H8c zenon_He2 zenon_H7d zenon_H42 zenon_H35 zenon_H90 zenon_Hd3 zenon_H4b zenon_Hb5 zenon_H3d zenon_H19.
% 51.27/51.45 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H66 | zenon_intro zenon_Hd0 ].
% 51.27/51.45 apply (zenon_L304_); trivial.
% 51.27/51.45 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hd1 ].
% 51.27/51.45 apply (zenon_L42_); trivial.
% 51.27/51.45 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hb3 ].
% 51.27/51.45 apply (zenon_L373_); trivial.
% 51.27/51.45 apply (zenon_L37_); trivial.
% 51.27/51.45 (* end of lemma zenon_L374_ *)
% 51.27/51.45 assert (zenon_L375_ : (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (e13) (e12)) = (e12)) -> (~((e11) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e12))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e12) (e10)) = (e13)) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e11) (e12)) = (e10)) -> ((op1 (e13) (e11)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> False).
% 51.27/51.45 do 0 intro. intros zenon_H95 zenon_Hf1 zenon_H3d zenon_Hb5 zenon_H4b zenon_Hd3 zenon_H90 zenon_H35 zenon_H42 zenon_H7d zenon_He2 zenon_Hde zenon_Haf zenon_H2c zenon_H1c zenon_Hab zenon_H54 zenon_He1 zenon_H41 zenon_Hea zenon_H9e zenon_H49 zenon_Hda zenon_Hb0 zenon_Hc8 zenon_Hb8 zenon_Hc2 zenon_H2db zenon_H126 zenon_Hbe zenon_H2ce zenon_He6 zenon_H65 zenon_H72 zenon_Hcf zenon_H19 zenon_H8c.
% 51.27/51.45 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H4e | zenon_intro zenon_H91 ].
% 51.27/51.45 apply (zenon_L16_); trivial.
% 51.27/51.45 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H50 | zenon_intro zenon_H92 ].
% 51.27/51.45 apply (zenon_L338_); trivial.
% 51.27/51.45 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H62 | zenon_intro zenon_H8b ].
% 51.27/51.45 apply (zenon_L374_); trivial.
% 51.27/51.45 apply (zenon_L24_); trivial.
% 51.27/51.45 (* end of lemma zenon_L375_ *)
% 51.27/51.45 assert (zenon_L376_ : (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (e12) (e10)) = (e12)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e12))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e12) (e10)) = (e13)) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e11) (e12)) = (e10)) -> ((op1 (e13) (e11)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> False).
% 51.29/51.46 do 0 intro. intros zenon_H31e zenon_H2be zenon_H2ff zenon_Ha2 zenon_H2ba zenon_H2e1 zenon_H305 zenon_H7c zenon_H95 zenon_H3d zenon_Hb5 zenon_H4b zenon_Hd3 zenon_H90 zenon_H35 zenon_H42 zenon_H7d zenon_He2 zenon_Hde zenon_Haf zenon_H2c zenon_H1c zenon_Hab zenon_H54 zenon_He1 zenon_H41 zenon_Hea zenon_H9e zenon_H49 zenon_Hda zenon_Hb0 zenon_Hc8 zenon_Hb8 zenon_Hc2 zenon_H2db zenon_H126 zenon_Hbe zenon_H2ce zenon_He6 zenon_H65 zenon_H72 zenon_Hcf zenon_H19 zenon_H8c.
% 51.29/51.46 apply (zenon_or_s _ _ zenon_H31e); [ zenon_intro zenon_H2bf | zenon_intro zenon_H31f ].
% 51.29/51.46 apply (zenon_L282_); trivial.
% 51.29/51.46 apply (zenon_or_s _ _ zenon_H31f); [ zenon_intro zenon_H12b | zenon_intro zenon_H320 ].
% 51.29/51.46 apply (zenon_L371_); trivial.
% 51.29/51.46 apply (zenon_or_s _ _ zenon_H320); [ zenon_intro zenon_H304 | zenon_intro zenon_Hf1 ].
% 51.29/51.46 apply (zenon_L334_); trivial.
% 51.29/51.46 apply (zenon_L375_); trivial.
% 51.29/51.46 (* end of lemma zenon_L376_ *)
% 51.29/51.46 assert (zenon_L377_ : (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e10)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((op1 (e10) (e10)) = (e11)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((e10) = (e11))) -> ((e11) = (op1 (e13) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op1 (e11) (e13)) = (e10)) -> (~((e10) = (e13))) -> False).
% 51.29/51.46 do 0 intro. intros zenon_Hf8 zenon_H49 zenon_Hea zenon_He1 zenon_H7c zenon_H305 zenon_H2e1 zenon_H2ff zenon_H35 zenon_H2be zenon_H31e zenon_H45 zenon_H2ba zenon_H3b zenon_H105 zenon_H1b zenon_H2d4 zenon_H8c zenon_H19 zenon_H1c zenon_Hc2 zenon_Hde zenon_H3d zenon_Hcb zenon_Hb5 zenon_H4b zenon_Ha2 zenon_H9e zenon_H65 zenon_H95 zenon_Hcf zenon_Hab zenon_Hd3 zenon_H2c zenon_Hda zenon_Hb8 zenon_Hc8 zenon_H50 zenon_H42.
% 51.29/51.46 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H41 | zenon_intro zenon_Hf9 ].
% 51.29/51.46 apply (zenon_L369_); trivial.
% 51.29/51.46 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H47 | zenon_intro zenon_Hfa ].
% 51.29/51.46 apply (zenon_L299_); trivial.
% 51.29/51.46 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H51 ].
% 51.29/51.46 apply (zenon_L288_); trivial.
% 51.29/51.46 apply (zenon_L17_); trivial.
% 51.29/51.46 (* end of lemma zenon_L377_ *)
% 51.29/51.46 assert (zenon_L378_ : ((op1 (e10) (e10)) = (e10)) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e10)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((op1 (e10) (e10)) = (e11)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((e10) = (e11))) -> ((e11) = (op1 (e13) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e13))) -> False).
% 51.29/51.46 do 0 intro. intros zenon_H23 zenon_H31b zenon_H113 zenon_Hf0 zenon_Hec zenon_Hf3 zenon_Hfb zenon_H314 zenon_H30d zenon_H311 zenon_H123 zenon_H318 zenon_H7d zenon_H2e0 zenon_Hf6 zenon_Haf zenon_H10e zenon_H90 zenon_H72 zenon_H54 zenon_He6 zenon_H2ce zenon_H2db zenon_Hb0 zenon_Hf8 zenon_H49 zenon_Hea zenon_He1 zenon_H7c zenon_H305 zenon_H2e1 zenon_H2ff zenon_H35 zenon_H2be zenon_H31e zenon_H45 zenon_H2ba zenon_H3b zenon_H105 zenon_H1b zenon_H2d4 zenon_H8c zenon_H19 zenon_H1c zenon_Hc2 zenon_Hde zenon_H3d zenon_Hcb zenon_Hb5 zenon_H4b zenon_Ha2 zenon_H9e zenon_H65 zenon_H95 zenon_Hcf zenon_Hab zenon_Hd3 zenon_H2c zenon_Hda zenon_Hb8 zenon_Hc8 zenon_H42.
% 51.29/51.46 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hfc ].
% 51.29/51.46 apply (zenon_L317_); trivial.
% 51.29/51.46 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H41 | zenon_intro zenon_Hfd ].
% 51.29/51.46 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H33 | zenon_intro zenon_H2e2 ].
% 51.29/51.46 apply (zenon_L12_); trivial.
% 51.29/51.46 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2e3 ].
% 51.29/51.46 apply (zenon_L283_); trivial.
% 51.29/51.46 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H126 | zenon_intro zenon_H50 ].
% 51.29/51.46 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H108 | zenon_intro zenon_H319 ].
% 51.29/51.46 apply (zenon_L328_); trivial.
% 51.29/51.46 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H30b | zenon_intro zenon_H31a ].
% 51.29/51.46 apply (zenon_or_s _ _ zenon_H31e); [ zenon_intro zenon_H2bf | zenon_intro zenon_H31f ].
% 51.29/51.46 apply (zenon_L282_); trivial.
% 51.29/51.46 apply (zenon_or_s _ _ zenon_H31f); [ zenon_intro zenon_H12b | zenon_intro zenon_H320 ].
% 51.29/51.46 apply (zenon_L333_); trivial.
% 51.29/51.46 apply (zenon_or_s _ _ zenon_H320); [ zenon_intro zenon_H304 | zenon_intro zenon_Hf1 ].
% 51.29/51.46 apply (zenon_L334_); trivial.
% 51.29/51.46 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hc9 ].
% 51.29/51.46 apply (zenon_L39_); trivial.
% 51.29/51.46 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hca ].
% 51.29/51.46 apply (zenon_L368_); trivial.
% 51.29/51.46 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H8b ].
% 51.29/51.46 apply (zenon_L41_); trivial.
% 51.29/51.46 apply (zenon_L24_); trivial.
% 51.29/51.46 apply (zenon_or_s _ _ zenon_H31a); [ zenon_intro zenon_H129 | zenon_intro zenon_Ha5 ].
% 51.29/51.46 apply (zenon_L359_); trivial.
% 51.29/51.46 apply (zenon_L33_); trivial.
% 51.29/51.46 apply (zenon_L369_); trivial.
% 51.29/51.46 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_He2 | zenon_intro zenon_H66 ].
% 51.29/51.46 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H33 | zenon_intro zenon_H2e2 ].
% 51.29/51.46 apply (zenon_L370_); trivial.
% 51.29/51.46 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2e3 ].
% 51.29/51.46 apply (zenon_L283_); trivial.
% 51.29/51.46 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H126 | zenon_intro zenon_H50 ].
% 51.29/51.46 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H41 | zenon_intro zenon_Hf9 ].
% 51.29/51.46 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hc9 ].
% 51.29/51.46 apply (zenon_L39_); trivial.
% 51.29/51.46 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hca ].
% 51.29/51.46 apply (zenon_L376_); trivial.
% 51.29/51.46 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H8b ].
% 51.29/51.46 apply (zenon_L41_); trivial.
% 51.29/51.46 apply (zenon_L24_); trivial.
% 51.29/51.46 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H47 | zenon_intro zenon_Hfa ].
% 51.29/51.46 apply (zenon_L299_); trivial.
% 51.29/51.46 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H51 ].
% 51.29/51.46 apply (zenon_L295_); trivial.
% 51.29/51.46 apply (zenon_L320_); trivial.
% 51.29/51.46 apply (zenon_L377_); trivial.
% 51.29/51.46 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H33 | zenon_intro zenon_H2e2 ].
% 51.29/51.46 apply (zenon_L322_); trivial.
% 51.29/51.46 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2e3 ].
% 51.29/51.46 apply (zenon_L283_); trivial.
% 51.29/51.46 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H126 | zenon_intro zenon_H50 ].
% 51.29/51.46 apply (zenon_L324_); trivial.
% 51.29/51.46 apply (zenon_L377_); trivial.
% 51.29/51.46 (* end of lemma zenon_L378_ *)
% 51.29/51.46 assert (zenon_L379_ : ((e11) = (op1 (e13) (e13))) -> (~((e11) = (e13))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> ((op1 (e13) (e12)) = (e13)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> ((op1 (e13) (e10)) = (e12)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (e12) (e12)) = (e12)) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e12))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e10) = (e11))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> False).
% 51.29/51.46 do 0 intro. intros zenon_H19 zenon_H3d zenon_Hb0 zenon_Hcc zenon_H9e zenon_Hea zenon_H41 zenon_He1 zenon_H54 zenon_Haf zenon_H311 zenon_H123 zenon_Hde zenon_Hb5 zenon_H10e zenon_H95 zenon_Hcf zenon_H4b zenon_He8 zenon_Hc2 zenon_Hb8 zenon_Hc8 zenon_H305 zenon_H304 zenon_H90 zenon_H35 zenon_H42 zenon_H7d zenon_H8c zenon_Hab zenon_Hd3 zenon_H2c zenon_H1c zenon_Hda.
% 51.29/51.46 apply (zenon_or_s _ _ zenon_Hde); [ zenon_intro zenon_H49 | zenon_intro zenon_Hdf ].
% 51.29/51.46 apply (zenon_L356_); trivial.
% 51.29/51.46 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_Haa | zenon_intro zenon_He0 ].
% 51.29/51.46 apply (zenon_L34_); trivial.
% 51.29/51.46 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hd2 | zenon_intro zenon_Hd9 ].
% 51.29/51.46 apply (zenon_L45_); trivial.
% 51.29/51.46 apply (zenon_L46_); trivial.
% 51.29/51.46 (* end of lemma zenon_L379_ *)
% 51.29/51.46 assert (zenon_L380_ : (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e12) (e13)) = (e10)) -> ((op1 (e10) (e13)) = (e12)) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (e12)) = (e10)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e13) (e11)) = (e10)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e10) = (e13))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op1 (e12) (e12)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e10)) = (e12)) -> (~((e12) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((e11) = (e13))) -> ((e11) = (op1 (e13) (e13))) -> False).
% 51.29/51.46 do 0 intro. intros zenon_H72 zenon_H65 zenon_H62 zenon_H49 zenon_He6 zenon_H2ce zenon_H126 zenon_H2db zenon_Hbe zenon_Hda zenon_H1c zenon_H2c zenon_Hd3 zenon_Hab zenon_H8c zenon_H7d zenon_H42 zenon_H35 zenon_H90 zenon_H304 zenon_H305 zenon_Hc8 zenon_Hb8 zenon_Hc2 zenon_He8 zenon_H4b zenon_Hcf zenon_H95 zenon_H10e zenon_Hb5 zenon_Hde zenon_H123 zenon_H311 zenon_Haf zenon_H54 zenon_He1 zenon_H41 zenon_Hea zenon_H9e zenon_Hb0 zenon_H3d zenon_H19.
% 51.29/51.46 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H66 | zenon_intro zenon_Hd0 ].
% 51.29/51.46 apply (zenon_L304_); trivial.
% 51.29/51.46 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hd1 ].
% 51.29/51.46 apply (zenon_L40_); trivial.
% 51.29/51.46 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hb3 ].
% 51.29/51.46 apply (zenon_L379_); trivial.
% 51.29/51.46 apply (zenon_L37_); trivial.
% 51.29/51.46 (* end of lemma zenon_L380_ *)
% 51.29/51.46 assert (zenon_L381_ : (~((e11) = (e13))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> ((op1 (e13) (e10)) = (e12)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (e12) (e12)) = (e12)) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e12))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e11)) = (e10)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e11) (e12)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e10) (e12)) = (e13)) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> False).
% 51.29/51.46 do 0 intro. intros zenon_H3d zenon_Hb0 zenon_H9e zenon_Hea zenon_H41 zenon_He1 zenon_H54 zenon_Haf zenon_H311 zenon_H123 zenon_Hde zenon_Hb5 zenon_H10e zenon_H95 zenon_Hcf zenon_H4b zenon_He8 zenon_Hc2 zenon_Hb8 zenon_Hc8 zenon_H305 zenon_H304 zenon_H90 zenon_H35 zenon_H42 zenon_H7d zenon_Hab zenon_Hd3 zenon_H2c zenon_H1c zenon_Hda zenon_Hbe zenon_H2db zenon_H126 zenon_H2ce zenon_He6 zenon_H49 zenon_H65 zenon_H72 zenon_H19 zenon_H8c.
% 51.29/51.46 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H4e | zenon_intro zenon_H91 ].
% 51.29/51.46 apply (zenon_L16_); trivial.
% 51.29/51.46 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H50 | zenon_intro zenon_H92 ].
% 51.29/51.46 apply (zenon_L94_); trivial.
% 51.29/51.46 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H62 | zenon_intro zenon_H8b ].
% 51.29/51.46 apply (zenon_L380_); trivial.
% 51.29/51.46 apply (zenon_L24_); trivial.
% 51.29/51.46 (* end of lemma zenon_L381_ *)
% 51.29/51.46 assert (zenon_L382_ : (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e13)) = (e12)) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (e12)) = (e10)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e10) = (e13))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op1 (e12) (e12)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e10)) = (e12)) -> (~((e12) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((e11) = (e13))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> False).
% 51.29/51.46 do 0 intro. intros zenon_H72 zenon_H65 zenon_H49 zenon_He6 zenon_H2ce zenon_H126 zenon_H2db zenon_Hda zenon_H2c zenon_Hd3 zenon_Hab zenon_H7d zenon_H42 zenon_H35 zenon_H90 zenon_H304 zenon_H305 zenon_Hc8 zenon_Hb8 zenon_He8 zenon_H4b zenon_Hcf zenon_H95 zenon_H10e zenon_Hb5 zenon_Hde zenon_H123 zenon_H311 zenon_Haf zenon_H54 zenon_He1 zenon_H41 zenon_Hea zenon_H9e zenon_Hb0 zenon_H3d zenon_Hc2 zenon_H1c zenon_H19 zenon_H8c.
% 51.29/51.46 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hc9 ].
% 51.29/51.46 apply (zenon_L39_); trivial.
% 51.29/51.46 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hca ].
% 51.29/51.46 apply (zenon_L381_); trivial.
% 51.29/51.46 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H8b ].
% 51.29/51.46 apply (zenon_L41_); trivial.
% 51.29/51.46 apply (zenon_L24_); trivial.
% 51.29/51.46 (* end of lemma zenon_L382_ *)
% 51.29/51.46 assert (zenon_L383_ : (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> ((op1 (e10) (e10)) = (e10)) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((e10) = (e11))) -> ((e11) = (op1 (e13) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (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 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (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) (e10)) = (op1 (e10) (e11)))) -> ((op1 (e10) (e10)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((op1 (e13) (e10)) = (e12)) -> (~((e12) = (e13))) -> False).
% 51.29/51.46 do 0 intro. intros zenon_Hfb zenon_H23 zenon_H318 zenon_H2db zenon_H305 zenon_H95 zenon_H10e zenon_H123 zenon_H311 zenon_Haf zenon_H2ff zenon_H30d zenon_H314 zenon_H2e0 zenon_H8c zenon_H19 zenon_H1c zenon_Hc2 zenon_H90 zenon_H2c zenon_Hd3 zenon_Hab zenon_H35 zenon_Hde zenon_H3d zenon_He1 zenon_H54 zenon_H7d zenon_H49 zenon_Hda zenon_H42 zenon_H2ce zenon_He6 zenon_H65 zenon_H72 zenon_Hcf zenon_Hb8 zenon_Hc8 zenon_Hf3 zenon_Hec zenon_Hf0 zenon_Hcb zenon_H2d4 zenon_H1b zenon_H105 zenon_H3b zenon_H2ba zenon_H45 zenon_Hb5 zenon_H9e zenon_Hea zenon_Hb0 zenon_Hf8 zenon_He8 zenon_H4b.
% 51.29/51.46 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hfc ].
% 51.29/51.46 apply (zenon_L317_); trivial.
% 51.29/51.46 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H41 | zenon_intro zenon_Hfd ].
% 51.29/51.46 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H33 | zenon_intro zenon_H2e2 ].
% 51.29/51.46 apply (zenon_L12_); trivial.
% 51.29/51.46 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2e3 ].
% 51.29/51.46 apply (zenon_L283_); trivial.
% 51.29/51.46 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H126 | zenon_intro zenon_H50 ].
% 51.29/51.46 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H108 | zenon_intro zenon_H319 ].
% 51.29/51.46 apply (zenon_L328_); trivial.
% 51.29/51.46 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H30b | zenon_intro zenon_H31a ].
% 51.29/51.46 apply (zenon_or_s _ _ zenon_H314); [ zenon_intro zenon_H7c | zenon_intro zenon_H315 ].
% 51.29/51.46 apply (zenon_L341_); trivial.
% 51.29/51.46 apply (zenon_or_s _ _ zenon_H315); [ zenon_intro zenon_H2c8 | zenon_intro zenon_H316 ].
% 51.29/51.46 apply (zenon_L353_); trivial.
% 51.29/51.46 apply (zenon_or_s _ _ zenon_H316); [ zenon_intro zenon_H304 | zenon_intro zenon_Hd2 ].
% 51.29/51.46 apply (zenon_L382_); trivial.
% 51.29/51.46 apply (zenon_L45_); trivial.
% 51.29/51.46 apply (zenon_or_s _ _ zenon_H31a); [ zenon_intro zenon_H129 | zenon_intro zenon_Ha5 ].
% 51.29/51.46 apply (zenon_L359_); trivial.
% 51.29/51.46 apply (zenon_L33_); trivial.
% 51.29/51.46 apply (zenon_L360_); trivial.
% 51.29/51.46 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_He2 | zenon_intro zenon_H66 ].
% 51.29/51.46 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H41 | zenon_intro zenon_Hf9 ].
% 51.29/51.46 apply (zenon_L348_); trivial.
% 51.29/51.46 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H47 | zenon_intro zenon_Hfa ].
% 51.29/51.46 apply (zenon_L299_); trivial.
% 51.29/51.46 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H51 ].
% 51.29/51.46 apply (zenon_L65_); trivial.
% 51.29/51.46 apply (zenon_L320_); trivial.
% 51.29/51.46 apply (zenon_L57_); trivial.
% 51.29/51.46 (* end of lemma zenon_L383_ *)
% 51.29/51.46 assert (zenon_L384_ : (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> ((op1 (e13) (e10)) = (e12)) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((op1 (e10) (e10)) = (e11)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((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))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((e10) = (e13))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e13))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((op1 (e10) (e10)) = (e10)) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> False).
% 51.29/51.46 do 0 intro. intros zenon_Hff zenon_Hf6 zenon_He8 zenon_Hf8 zenon_Hb0 zenon_Hea zenon_H9e zenon_Hb5 zenon_H45 zenon_H2ba zenon_H3b zenon_H105 zenon_H1b zenon_H2d4 zenon_Hcb zenon_Hf0 zenon_Hec zenon_Hf3 zenon_Hc8 zenon_Hb8 zenon_Hcf zenon_H72 zenon_H65 zenon_H2ce zenon_H42 zenon_H49 zenon_H7d zenon_H54 zenon_He1 zenon_H3d zenon_H35 zenon_H90 zenon_Hc2 zenon_H19 zenon_H8c zenon_H2e0 zenon_H314 zenon_H30d zenon_H2ff zenon_Haf zenon_H311 zenon_H123 zenon_H10e zenon_H95 zenon_H305 zenon_H2db zenon_H318 zenon_H23 zenon_Hfb zenon_Hde zenon_H4b zenon_Hab zenon_Hd3 zenon_H2c zenon_H1c zenon_Hda.
% 51.29/51.46 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H3c | zenon_intro zenon_H102 ].
% 51.29/51.46 apply (zenon_L11_); trivial.
% 51.29/51.46 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_H46 | zenon_intro zenon_H103 ].
% 51.29/51.46 apply (zenon_L361_); trivial.
% 51.29/51.46 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_He6 | zenon_intro zenon_H4a ].
% 51.29/51.46 apply (zenon_L383_); trivial.
% 51.29/51.46 apply (zenon_L335_); trivial.
% 51.29/51.46 (* end of lemma zenon_L384_ *)
% 51.29/51.46 assert (zenon_L385_ : ((op1 (e10) (e11)) = (e11)) -> ((op1 (e10) (e11)) = (e13)) -> (~((e11) = (e13))) -> False).
% 51.29/51.46 do 0 intro. intros zenon_H104 zenon_H46 zenon_H3d.
% 51.29/51.46 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H3e | zenon_intro zenon_H17 ].
% 51.29/51.46 cut (((e13) = (e13)) = ((e11) = (e13))).
% 51.29/51.46 intro zenon_D_pnotp.
% 51.29/51.46 apply zenon_H3d.
% 51.29/51.46 rewrite <- zenon_D_pnotp.
% 51.29/51.46 exact zenon_H3e.
% 51.29/51.46 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H17].
% 51.29/51.46 cut (((e13) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H3f].
% 51.29/51.46 congruence.
% 51.29/51.46 cut (((op1 (e10) (e11)) = (e11)) = ((e13) = (e11))).
% 51.29/51.46 intro zenon_D_pnotp.
% 51.29/51.46 apply zenon_H3f.
% 51.29/51.46 rewrite <- zenon_D_pnotp.
% 51.29/51.46 exact zenon_H104.
% 51.29/51.46 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H3a].
% 51.29/51.46 cut (((op1 (e10) (e11)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H2f0].
% 51.29/51.46 congruence.
% 51.29/51.46 exact (zenon_H2f0 zenon_H46).
% 51.29/51.46 apply zenon_H3a. apply refl_equal.
% 51.29/51.46 apply zenon_H17. apply refl_equal.
% 51.29/51.46 apply zenon_H17. apply refl_equal.
% 51.29/51.46 (* end of lemma zenon_L385_ *)
% 51.29/51.46 assert (zenon_L386_ : (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e11) (e12)) = (e10)) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> False).
% 51.29/51.46 do 0 intro. intros zenon_Hc8 zenon_Hb8 zenon_H2db zenon_H126 zenon_H50 zenon_Hc2 zenon_H1c zenon_H19 zenon_H8c.
% 51.29/51.46 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hc9 ].
% 51.29/51.46 apply (zenon_L39_); trivial.
% 51.29/51.46 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hca ].
% 51.29/51.46 apply (zenon_L303_); trivial.
% 51.29/51.46 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H8b ].
% 51.29/51.46 apply (zenon_L41_); trivial.
% 51.29/51.46 apply (zenon_L24_); trivial.
% 51.29/51.46 (* end of lemma zenon_L386_ *)
% 51.29/51.46 assert (zenon_L387_ : ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((op1 (e12) (e12)) = (e10)) -> ((op1 (e13) (e11)) = (e10)) -> ((op1 (e11) (e12)) = (e10)) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> False).
% 51.29/51.46 do 0 intro. intros zenon_H1c zenon_H321 zenon_Hbe zenon_H126 zenon_H19 zenon_H12c.
% 51.29/51.46 elim (classic ((op1 (e12) (e12)) = (op1 (e12) (e12)))); [ zenon_intro zenon_H99 | zenon_intro zenon_H9a ].
% 51.29/51.46 cut (((op1 (e12) (e12)) = (op1 (e12) (e12))) = ((op1 (e11) (e12)) = (op1 (e12) (e12)))).
% 51.29/51.46 intro zenon_D_pnotp.
% 51.29/51.46 apply zenon_H12c.
% 51.29/51.46 rewrite <- zenon_D_pnotp.
% 51.29/51.46 exact zenon_H99.
% 51.29/51.46 cut (((op1 (e12) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H9a].
% 51.29/51.46 cut (((op1 (e12) (e12)) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H12d].
% 51.29/51.46 congruence.
% 51.29/51.46 cut (((e10) = (op1 (e13) (op1 (e13) (e13)))) = ((op1 (e12) (e12)) = (op1 (e11) (e12)))).
% 51.29/51.46 intro zenon_D_pnotp.
% 51.29/51.46 apply zenon_H12d.
% 51.29/51.46 rewrite <- zenon_D_pnotp.
% 51.29/51.46 exact zenon_H1c.
% 51.29/51.46 cut (((op1 (e13) (op1 (e13) (e13))) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H2d7].
% 51.29/51.46 cut (((e10) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H322].
% 51.29/51.46 congruence.
% 51.29/51.46 elim (classic ((op1 (e12) (e12)) = (op1 (e12) (e12)))); [ zenon_intro zenon_H99 | zenon_intro zenon_H9a ].
% 51.29/51.46 cut (((op1 (e12) (e12)) = (op1 (e12) (e12))) = ((e10) = (op1 (e12) (e12)))).
% 51.29/51.46 intro zenon_D_pnotp.
% 51.29/51.46 apply zenon_H322.
% 51.29/51.46 rewrite <- zenon_D_pnotp.
% 51.29/51.46 exact zenon_H99.
% 51.29/51.46 cut (((op1 (e12) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H9a].
% 51.29/51.46 cut (((op1 (e12) (e12)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H323].
% 51.29/51.46 congruence.
% 51.29/51.46 exact (zenon_H323 zenon_H321).
% 51.29/51.46 apply zenon_H9a. apply refl_equal.
% 51.29/51.46 apply zenon_H9a. apply refl_equal.
% 51.29/51.46 apply (zenon_L302_); trivial.
% 51.29/51.46 apply zenon_H9a. apply refl_equal.
% 51.29/51.46 apply zenon_H9a. apply refl_equal.
% 51.29/51.46 (* end of lemma zenon_L387_ *)
% 51.29/51.46 assert (zenon_L388_ : (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e13) (e11)) = (e10)) -> ((op1 (e12) (e12)) = (e10)) -> ((op1 (e11) (e10)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e10) = (e12))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op1 (e12) (e10)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e13) (e10)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e12) (e13)) = (e13)) -> False).
% 51.29/51.46 do 0 intro. intros zenon_H131 zenon_H12c zenon_Hbe zenon_H321 zenon_H108 zenon_H128 zenon_H8c zenon_Hc2 zenon_H35 zenon_Hb8 zenon_Hc8 zenon_H7c zenon_H2ff zenon_H2ba zenon_H2e1 zenon_Hb0 zenon_Ha2 zenon_H9e zenon_H65 zenon_H66 zenon_H95 zenon_H49 zenon_H19 zenon_H54 zenon_Hab zenon_H1c zenon_H2c zenon_Haf zenon_H96.
% 51.29/51.46 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_H126 | zenon_intro zenon_H132 ].
% 51.29/51.46 apply (zenon_L387_); trivial.
% 51.29/51.46 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_H129 | zenon_intro zenon_H133 ].
% 51.29/51.46 apply (zenon_L101_); trivial.
% 51.29/51.46 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H12b | zenon_intro zenon_Ha3 ].
% 51.29/51.46 apply (zenon_L333_); trivial.
% 51.29/51.46 apply (zenon_L36_); trivial.
% 51.29/51.46 (* end of lemma zenon_L388_ *)
% 51.29/51.46 assert (zenon_L389_ : (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((e10) = (e13))) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (e13) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((op1 (e12) (e10)) = (e12)) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e12))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (e10)) = (e11)) -> ((op1 (e12) (e12)) = (e10)) -> ((op1 (e13) (e11)) = (e10)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((e11) = (e13))) -> ((e11) = (op1 (e13) (e13))) -> False).
% 51.29/51.46 do 0 intro. intros zenon_Hb5 zenon_H4b zenon_H42 zenon_H50 zenon_Haf zenon_H2c zenon_H1c zenon_Hab zenon_H54 zenon_H49 zenon_H95 zenon_H66 zenon_H65 zenon_H9e zenon_Ha2 zenon_Hb0 zenon_H2e1 zenon_H2ba zenon_H2ff zenon_H7c zenon_Hc8 zenon_Hb8 zenon_H35 zenon_Hc2 zenon_H8c zenon_H128 zenon_H108 zenon_H321 zenon_Hbe zenon_H12c zenon_H131 zenon_H3d zenon_H19.
% 51.29/51.46 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H4a | zenon_intro zenon_Hb6 ].
% 51.29/51.46 apply (zenon_L15_); trivial.
% 51.29/51.46 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H51 | zenon_intro zenon_Hb7 ].
% 51.29/51.46 apply (zenon_L17_); trivial.
% 51.29/51.46 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb3 ].
% 51.29/51.46 apply (zenon_L388_); trivial.
% 51.29/51.46 apply (zenon_L37_); trivial.
% 51.29/51.46 (* end of lemma zenon_L389_ *)
% 51.29/51.46 assert (zenon_L390_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op1 (e12) (e10)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e13)) = (e10)) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> ((op1 (e13) (e11)) = (e10)) -> ((op1 (e12) (e12)) = (e10)) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((op1 (e11) (e10)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e12) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e10) = (e13))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e11) = (e13))) -> ((e11) = (op1 (e13) (e13))) -> False).
% 51.29/51.46 do 0 intro. intros zenon_Hcf zenon_Hc2 zenon_Hb8 zenon_Hc8 zenon_H7c zenon_H2ff zenon_H2ba zenon_H2e1 zenon_Hb0 zenon_Ha2 zenon_H65 zenon_H95 zenon_Haf zenon_H50 zenon_H131 zenon_Hbe zenon_H321 zenon_H1c zenon_H108 zenon_H128 zenon_Hda zenon_H49 zenon_H9e zenon_H12c zenon_He1 zenon_Hcb zenon_Hde zenon_H8c zenon_H54 zenon_He2 zenon_H7d zenon_H42 zenon_H35 zenon_H90 zenon_Hab zenon_Hd3 zenon_H2c zenon_H4b zenon_Hb5 zenon_H3d zenon_H19.
% 51.29/51.46 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H66 | zenon_intro zenon_Hd0 ].
% 51.29/51.46 apply (zenon_L389_); trivial.
% 51.29/51.46 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hd1 ].
% 51.29/51.46 apply (zenon_L40_); trivial.
% 51.29/51.46 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hb3 ].
% 51.29/51.46 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H4a | zenon_intro zenon_Hb6 ].
% 51.29/51.46 apply (zenon_L335_); trivial.
% 51.29/51.46 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H51 | zenon_intro zenon_Hb7 ].
% 51.29/51.46 apply (zenon_L372_); trivial.
% 51.29/51.46 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb3 ].
% 51.29/51.46 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_H126 | zenon_intro zenon_H132 ].
% 51.29/51.46 apply (zenon_L387_); trivial.
% 51.29/51.46 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_H129 | zenon_intro zenon_H133 ].
% 51.29/51.46 apply (zenon_L101_); trivial.
% 51.29/51.46 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H12b | zenon_intro zenon_Ha3 ].
% 51.29/51.46 apply (zenon_L103_); trivial.
% 51.29/51.46 apply (zenon_L43_); trivial.
% 51.29/51.46 apply (zenon_L37_); trivial.
% 51.29/51.46 apply (zenon_L37_); trivial.
% 51.29/51.46 (* end of lemma zenon_L390_ *)
% 51.29/51.46 assert (zenon_L391_ : (~((e11) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e12))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e12) (e10)) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (e10)) = (e11)) -> ((op1 (e12) (e12)) = (e10)) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((op1 (e12) (e10)) = (e12)) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> False).
% 51.29/51.46 do 0 intro. intros zenon_H3d zenon_Hb5 zenon_H4b zenon_H2c zenon_Hd3 zenon_Hab zenon_H90 zenon_H35 zenon_H42 zenon_H7d zenon_He2 zenon_H54 zenon_Hde zenon_Hcb zenon_He1 zenon_H12c zenon_H9e zenon_H49 zenon_Hda zenon_H128 zenon_H108 zenon_H321 zenon_H131 zenon_H50 zenon_Haf zenon_H95 zenon_H65 zenon_Ha2 zenon_Hb0 zenon_H2e1 zenon_H2ba zenon_H2ff zenon_H7c zenon_Hc8 zenon_Hb8 zenon_Hcf zenon_Hc2 zenon_H1c zenon_H19 zenon_H8c.
% 51.29/51.46 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hc9 ].
% 51.29/51.46 apply (zenon_L39_); trivial.
% 51.29/51.46 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hca ].
% 51.29/51.46 apply (zenon_L390_); trivial.
% 51.29/51.46 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H8b ].
% 51.29/51.46 apply (zenon_L41_); trivial.
% 51.29/51.46 apply (zenon_L24_); trivial.
% 51.29/51.46 (* end of lemma zenon_L391_ *)
% 51.29/51.46 assert (zenon_L392_ : (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op1 (e12) (e10)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e13)) = (e10)) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> ((op1 (e11) (e10)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e12) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e10) = (e13))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e11) = (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False).
% 51.29/51.46 do 0 intro. intros zenon_H324 zenon_He6 zenon_H2db zenon_H8c zenon_Hcf zenon_Hb8 zenon_Hc8 zenon_H7c zenon_H2ff zenon_H2ba zenon_H2e1 zenon_Hb0 zenon_Ha2 zenon_H65 zenon_H95 zenon_Haf zenon_H50 zenon_H131 zenon_H108 zenon_H128 zenon_Hda zenon_H49 zenon_H9e zenon_H12c zenon_He1 zenon_Hcb zenon_Hde zenon_H54 zenon_He2 zenon_H7d zenon_H42 zenon_H35 zenon_H90 zenon_Hab zenon_Hd3 zenon_H2c zenon_H4b zenon_Hb5 zenon_H3d zenon_H1c zenon_H19 zenon_Hc2.
% 51.29/51.46 apply (zenon_or_s _ _ zenon_H324); [ zenon_intro zenon_H22 | zenon_intro zenon_H325 ].
% 51.29/51.46 apply (zenon_L56_); trivial.
% 51.29/51.46 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H126 | zenon_intro zenon_H326 ].
% 51.29/51.46 apply (zenon_L386_); trivial.
% 51.29/51.46 apply (zenon_or_s _ _ zenon_H326); [ zenon_intro zenon_H321 | zenon_intro zenon_Hc1 ].
% 51.29/51.46 apply (zenon_L391_); trivial.
% 51.29/51.46 apply (zenon_L41_); trivial.
% 51.29/51.46 (* end of lemma zenon_L392_ *)
% 51.29/51.46 assert (zenon_L393_ : (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((e11) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e12))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e12) (e10)) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (e10)) = (e11)) -> ((op1 (e13) (e11)) = (e10)) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((op1 (e12) (e10)) = (e12)) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False).
% 51.29/51.46 do 0 intro. intros zenon_H324 zenon_H24 zenon_H23 zenon_H2db zenon_H3d zenon_Hb5 zenon_H4b zenon_H2c zenon_Hd3 zenon_Hab zenon_H90 zenon_H35 zenon_H42 zenon_H7d zenon_He2 zenon_H54 zenon_H8c zenon_Hde zenon_Hcb zenon_He1 zenon_H12c zenon_H9e zenon_H49 zenon_Hda zenon_H128 zenon_H108 zenon_Hbe zenon_H131 zenon_H50 zenon_Haf zenon_H95 zenon_H65 zenon_Ha2 zenon_Hb0 zenon_H2e1 zenon_H2ba zenon_H2ff zenon_H7c zenon_Hc8 zenon_Hb8 zenon_Hcf zenon_H1c zenon_H19 zenon_Hc2.
% 51.29/51.46 apply (zenon_or_s _ _ zenon_H324); [ zenon_intro zenon_H22 | zenon_intro zenon_H325 ].
% 51.29/51.46 apply (zenon_L5_); trivial.
% 51.29/51.46 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H126 | zenon_intro zenon_H326 ].
% 51.29/51.46 apply (zenon_L303_); trivial.
% 51.29/51.46 apply (zenon_or_s _ _ zenon_H326); [ zenon_intro zenon_H321 | zenon_intro zenon_Hc1 ].
% 51.29/51.46 apply (zenon_L390_); trivial.
% 51.29/51.46 apply (zenon_L41_); trivial.
% 51.29/51.46 (* end of lemma zenon_L393_ *)
% 51.29/51.46 assert (zenon_L394_ : ((op1 (e13) (e12)) = (e13)) -> ((op1 (e12) (e13)) = (e10)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e12))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e12) (e10)) = (e13)) -> (~((e10) = (e11))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (e10)) = (e11)) -> ((op1 (e13) (e11)) = (e10)) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((op1 (e12) (e10)) = (e12)) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e11) = (e13))) -> ((e11) = (op1 (e13) (e13))) -> False).
% 51.29/51.46 do 0 intro. intros zenon_Hcc zenon_H62 zenon_Haf zenon_H2c zenon_H1c zenon_Hab zenon_H54 zenon_H324 zenon_H24 zenon_H23 zenon_H2db zenon_Hb5 zenon_H4b zenon_Hd3 zenon_H90 zenon_H35 zenon_H42 zenon_H7d zenon_He2 zenon_H8c zenon_Hde zenon_Hcb zenon_He1 zenon_H12c zenon_H9e zenon_H49 zenon_Hda zenon_H128 zenon_H108 zenon_Hbe zenon_H131 zenon_H95 zenon_H65 zenon_Ha2 zenon_Hb0 zenon_H2e1 zenon_H2ba zenon_H2ff zenon_H7c zenon_Hc8 zenon_Hb8 zenon_Hcf zenon_Hc2 zenon_H3d zenon_H19.
% 51.29/51.46 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H4a | zenon_intro zenon_Hb6 ].
% 51.29/51.46 apply (zenon_L335_); trivial.
% 51.29/51.46 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H51 | zenon_intro zenon_Hb7 ].
% 51.29/51.46 apply (zenon_L51_); trivial.
% 51.29/51.46 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb3 ].
% 51.29/51.46 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H50 | zenon_intro zenon_Hb1 ].
% 51.29/51.46 apply (zenon_L393_); trivial.
% 51.29/51.46 apply (zenon_or_s _ _ zenon_Hb1); [ zenon_intro zenon_Ha5 | zenon_intro zenon_Hb2 ].
% 51.29/51.46 apply (zenon_L33_); trivial.
% 51.29/51.46 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_Haa | zenon_intro zenon_H51 ].
% 51.29/51.46 apply (zenon_L34_); trivial.
% 51.29/51.46 apply (zenon_L35_); trivial.
% 51.29/51.46 apply (zenon_L37_); trivial.
% 51.29/51.46 (* end of lemma zenon_L394_ *)
% 51.29/51.46 assert (zenon_L395_ : (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (e12)) = (e10)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op1 (e12) (e10)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> ((op1 (e13) (e11)) = (e10)) -> ((op1 (e11) (e10)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e11))) -> ((op1 (e12) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e10) = (e13))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e12) (e13)) = (e10)) -> (~((e11) = (e13))) -> ((e11) = (op1 (e13) (e13))) -> False).
% 51.29/51.46 do 0 intro. intros zenon_H72 zenon_He6 zenon_H2ce zenon_H126 zenon_Hc2 zenon_Hcf zenon_Hb8 zenon_Hc8 zenon_H7c zenon_H2ff zenon_H2ba zenon_H2e1 zenon_Hb0 zenon_Ha2 zenon_H65 zenon_H95 zenon_H131 zenon_Hbe zenon_H108 zenon_H128 zenon_Hda zenon_H49 zenon_H9e zenon_H12c zenon_He1 zenon_Hcb zenon_Hde zenon_H8c zenon_He2 zenon_H7d zenon_H42 zenon_H35 zenon_H90 zenon_Hd3 zenon_H4b zenon_Hb5 zenon_H2db zenon_H23 zenon_H24 zenon_H324 zenon_H54 zenon_Hab zenon_H1c zenon_H2c zenon_Haf zenon_H62 zenon_H3d zenon_H19.
% 51.29/51.46 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H66 | zenon_intro zenon_Hd0 ].
% 51.29/51.46 apply (zenon_L304_); trivial.
% 51.29/51.46 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hd1 ].
% 51.29/51.46 apply (zenon_L42_); trivial.
% 51.29/51.46 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hb3 ].
% 51.29/51.46 apply (zenon_L394_); trivial.
% 51.29/51.46 apply (zenon_L37_); trivial.
% 51.29/51.46 (* end of lemma zenon_L395_ *)
% 51.29/51.46 assert (zenon_L396_ : (~((e11) = (e13))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e12))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e12) (e10)) = (e13)) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (e10)) = (e11)) -> ((op1 (e13) (e11)) = (e10)) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((op1 (e12) (e10)) = (e12)) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e12)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> False).
% 51.29/51.47 do 0 intro. intros zenon_H3d zenon_Haf zenon_H2c zenon_H1c zenon_Hab zenon_H54 zenon_H324 zenon_H24 zenon_H23 zenon_H2db zenon_Hb5 zenon_H4b zenon_Hd3 zenon_H90 zenon_H35 zenon_H42 zenon_H7d zenon_He2 zenon_Hde zenon_Hcb zenon_He1 zenon_H12c zenon_H9e zenon_H49 zenon_Hda zenon_H128 zenon_H108 zenon_Hbe zenon_H131 zenon_H95 zenon_H65 zenon_Ha2 zenon_Hb0 zenon_H2e1 zenon_H2ba zenon_H2ff zenon_H7c zenon_Hc8 zenon_Hb8 zenon_Hcf zenon_Hc2 zenon_H126 zenon_H2ce zenon_He6 zenon_H72 zenon_H19 zenon_H8c.
% 51.29/51.47 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H4e | zenon_intro zenon_H91 ].
% 51.29/51.47 apply (zenon_L47_); trivial.
% 51.29/51.47 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H50 | zenon_intro zenon_H92 ].
% 51.29/51.47 apply (zenon_L392_); trivial.
% 51.29/51.47 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H62 | zenon_intro zenon_H8b ].
% 51.29/51.47 apply (zenon_L395_); trivial.
% 51.29/51.47 apply (zenon_L24_); trivial.
% 51.29/51.47 (* end of lemma zenon_L396_ *)
% 51.29/51.47 assert (zenon_L397_ : (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (e12)) = (e10)) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op1 (e12) (e10)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> ((op1 (e11) (e10)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e12) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e10) = (e13))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> False).
% 51.29/51.47 do 0 intro. intros zenon_H72 zenon_He6 zenon_H2ce zenon_H126 zenon_Hcf zenon_Hb8 zenon_Hc8 zenon_H7c zenon_H2ff zenon_H2ba zenon_H2e1 zenon_Hb0 zenon_Ha2 zenon_H65 zenon_H95 zenon_H131 zenon_H108 zenon_H128 zenon_Hda zenon_H49 zenon_H9e zenon_H12c zenon_He1 zenon_Hcb zenon_Hde zenon_He2 zenon_H7d zenon_H42 zenon_H35 zenon_H90 zenon_Hd3 zenon_H4b zenon_Hb5 zenon_H2db zenon_H23 zenon_H24 zenon_H324 zenon_H54 zenon_Hab zenon_H2c zenon_Haf zenon_H3d zenon_Hc2 zenon_H1c zenon_H19 zenon_H8c.
% 51.29/51.47 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hc9 ].
% 51.29/51.47 apply (zenon_L39_); trivial.
% 51.29/51.47 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hca ].
% 51.29/51.47 apply (zenon_L396_); trivial.
% 51.29/51.47 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H8b ].
% 51.29/51.47 apply (zenon_L41_); trivial.
% 51.29/51.47 apply (zenon_L24_); trivial.
% 51.29/51.47 (* end of lemma zenon_L397_ *)
% 51.29/51.47 assert (zenon_L398_ : (~((e10) = (e11))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op1 (e12) (e10)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e13)) = (e10)) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> ((op1 (e12) (e12)) = (e10)) -> ((op1 (e11) (e10)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e12) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e10) = (e13))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e11) = (e13))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> False).
% 51.29/51.47 do 0 intro. intros zenon_H8c zenon_H19 zenon_Hc2 zenon_Hcf zenon_Hb8 zenon_Hc8 zenon_H7c zenon_H2ff zenon_H2ba zenon_H2e1 zenon_Hb0 zenon_Ha2 zenon_H65 zenon_H95 zenon_Haf zenon_H50 zenon_H131 zenon_H321 zenon_H108 zenon_H128 zenon_H9e zenon_H12c zenon_He1 zenon_Hcb zenon_Hde zenon_H54 zenon_He2 zenon_H7d zenon_H42 zenon_H35 zenon_H90 zenon_H4b zenon_Hb5 zenon_H3d zenon_Hab zenon_Hd3 zenon_H2c zenon_H1c zenon_Hda.
% 51.29/51.47 apply (zenon_or_s _ _ zenon_Hde); [ zenon_intro zenon_H49 | zenon_intro zenon_Hdf ].
% 51.29/51.47 apply (zenon_L391_); trivial.
% 51.29/51.47 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_Haa | zenon_intro zenon_He0 ].
% 51.29/51.47 apply (zenon_L34_); trivial.
% 51.29/51.47 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hd2 | zenon_intro zenon_Hd9 ].
% 51.29/51.47 apply (zenon_L45_); trivial.
% 51.29/51.47 apply (zenon_L46_); trivial.
% 51.29/51.47 (* end of lemma zenon_L398_ *)
% 51.29/51.47 assert (zenon_L399_ : (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((e11) = (e13))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e13) (e11)) = (e10)) -> ((op1 (e11) (e10)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((e10) = (e11))) -> (~((e10) = (e12))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op1 (e12) (e10)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e13) (e10)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e13)) = (e10)) -> (~((e10) = (e13))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False).
% 51.29/51.47 do 0 intro. intros zenon_H324 zenon_He6 zenon_H2db zenon_H3d zenon_H131 zenon_H12c zenon_Hbe zenon_H108 zenon_H128 zenon_H8c zenon_H35 zenon_Hb8 zenon_Hc8 zenon_H7c zenon_H2ff zenon_H2ba zenon_H2e1 zenon_Hb0 zenon_Ha2 zenon_H9e zenon_H65 zenon_H66 zenon_H95 zenon_H49 zenon_H54 zenon_Hab zenon_H2c zenon_Haf zenon_H50 zenon_H42 zenon_H4b zenon_Hb5 zenon_H1c zenon_H19 zenon_Hc2.
% 51.29/51.47 apply (zenon_or_s _ _ zenon_H324); [ zenon_intro zenon_H22 | zenon_intro zenon_H325 ].
% 51.29/51.47 apply (zenon_L56_); trivial.
% 51.29/51.47 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H126 | zenon_intro zenon_H326 ].
% 51.29/51.47 apply (zenon_L303_); trivial.
% 51.29/51.47 apply (zenon_or_s _ _ zenon_H326); [ zenon_intro zenon_H321 | zenon_intro zenon_Hc1 ].
% 51.29/51.47 apply (zenon_L389_); trivial.
% 51.29/51.47 apply (zenon_L41_); trivial.
% 51.29/51.47 (* end of lemma zenon_L399_ *)
% 51.29/51.47 assert (zenon_L400_ : (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((e10) = (e13))) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (e13) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((op1 (e12) (e10)) = (e12)) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (e10)) = (e11)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e10) (e12)) = (e13)) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> False).
% 51.29/51.47 do 0 intro. intros zenon_Hb5 zenon_H4b zenon_H42 zenon_H50 zenon_Haf zenon_H2c zenon_Hab zenon_H54 zenon_H49 zenon_H95 zenon_H66 zenon_H65 zenon_H9e zenon_Ha2 zenon_Hb0 zenon_H2e1 zenon_H2ba zenon_H2ff zenon_H7c zenon_Hc8 zenon_Hb8 zenon_H35 zenon_H128 zenon_H108 zenon_H12c zenon_H131 zenon_H3d zenon_H2db zenon_He6 zenon_H324 zenon_Hc2 zenon_H1c zenon_H19 zenon_H8c.
% 51.29/51.47 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hc9 ].
% 51.29/51.47 apply (zenon_L39_); trivial.
% 51.29/51.47 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hca ].
% 51.29/51.47 apply (zenon_L399_); trivial.
% 51.29/51.47 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H8b ].
% 51.29/51.47 apply (zenon_L41_); trivial.
% 51.29/51.47 apply (zenon_L24_); trivial.
% 51.29/51.47 (* end of lemma zenon_L400_ *)
% 51.29/51.47 assert (zenon_L401_ : (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((e11) = (e13))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (e10)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((e10) = (e12))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op1 (e12) (e10)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((e10) = (e13))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e13) (e10)) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e13) (e11)) = (e10)) -> ((op1 (e11) (e12)) = (e10)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> False).
% 51.29/51.47 do 0 intro. intros zenon_H90 zenon_Hc2 zenon_H324 zenon_H3d zenon_H131 zenon_H12c zenon_H108 zenon_H128 zenon_H35 zenon_Hb8 zenon_Hc8 zenon_H7c zenon_H2ff zenon_H2ba zenon_H2e1 zenon_Ha2 zenon_H9e zenon_H95 zenon_Haf zenon_H42 zenon_H4b zenon_Hb5 zenon_H72 zenon_H65 zenon_H66 zenon_H54 zenon_H49 zenon_He6 zenon_H2ce zenon_H2c zenon_H1c zenon_Hab zenon_Hbe zenon_H126 zenon_H2db zenon_Hb0 zenon_H19 zenon_H8c.
% 51.29/51.47 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H4e | zenon_intro zenon_H91 ].
% 51.29/51.47 apply (zenon_L16_); trivial.
% 51.29/51.47 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H50 | zenon_intro zenon_H92 ].
% 51.29/51.47 apply (zenon_L400_); trivial.
% 51.29/51.47 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H62 | zenon_intro zenon_H8b ].
% 51.29/51.47 apply (zenon_L304_); trivial.
% 51.29/51.47 apply (zenon_L24_); trivial.
% 51.29/51.47 (* end of lemma zenon_L401_ *)
% 51.29/51.47 assert (zenon_L402_ : (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e11))) -> ((e11) = (op1 (e13) (e13))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e11) (e12)) = (e10)) -> ((op1 (e13) (e11)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((e10) = (e13))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((op1 (e12) (e10)) = (e12)) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (e10)) = (e11)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((e11) = (e13))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> False).
% 51.29/51.47 do 0 intro. intros zenon_Hde zenon_H8c zenon_H19 zenon_Hb0 zenon_H2db zenon_H126 zenon_Hbe zenon_H2ce zenon_He6 zenon_H54 zenon_H66 zenon_H65 zenon_H72 zenon_Hb5 zenon_H4b zenon_H42 zenon_Haf zenon_H95 zenon_H9e zenon_Ha2 zenon_H2e1 zenon_H2ba zenon_H2ff zenon_H7c zenon_Hc8 zenon_Hb8 zenon_H35 zenon_H128 zenon_H108 zenon_H12c zenon_H131 zenon_H3d zenon_H324 zenon_Hc2 zenon_H90 zenon_Hab zenon_Hd3 zenon_H2c zenon_H1c zenon_Hda.
% 51.29/51.47 apply (zenon_or_s _ _ zenon_Hde); [ zenon_intro zenon_H49 | zenon_intro zenon_Hdf ].
% 51.29/51.47 apply (zenon_L401_); trivial.
% 51.29/51.47 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_Haa | zenon_intro zenon_He0 ].
% 51.29/51.47 apply (zenon_L34_); trivial.
% 51.29/51.47 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hd2 | zenon_intro zenon_Hd9 ].
% 51.29/51.47 apply (zenon_L45_); trivial.
% 51.29/51.47 apply (zenon_L46_); trivial.
% 51.29/51.47 (* end of lemma zenon_L402_ *)
% 51.29/51.47 assert (zenon_L403_ : (~((e11) = (e13))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e12) (e12)) = (e10)) -> ((op1 (e11) (e10)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((e10) = (e12))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op1 (e12) (e10)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e13) (e10)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e13)) = (e10)) -> (~((e10) = (e13))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> False).
% 51.29/51.47 do 0 intro. intros zenon_H3d zenon_H131 zenon_H12c zenon_H321 zenon_H108 zenon_H128 zenon_H35 zenon_Hb8 zenon_Hc8 zenon_H7c zenon_H2ff zenon_H2ba zenon_H2e1 zenon_Hb0 zenon_Ha2 zenon_H9e zenon_H65 zenon_H66 zenon_H95 zenon_H49 zenon_H54 zenon_Hab zenon_H2c zenon_Haf zenon_H50 zenon_H42 zenon_H4b zenon_Hb5 zenon_Hc2 zenon_H1c zenon_H19 zenon_H8c.
% 51.29/51.47 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hc9 ].
% 51.29/51.47 apply (zenon_L39_); trivial.
% 51.29/51.47 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hca ].
% 51.29/51.47 apply (zenon_L389_); trivial.
% 51.29/51.47 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H8b ].
% 51.29/51.47 apply (zenon_L41_); trivial.
% 51.29/51.47 apply (zenon_L24_); trivial.
% 51.29/51.47 (* end of lemma zenon_L403_ *)
% 51.29/51.47 assert (zenon_L404_ : (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e11))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((e10) = (e13))) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (e13) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((op1 (e12) (e10)) = (e12)) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (e10)) = (e11)) -> ((op1 (e12) (e12)) = (e10)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((e11) = (e13))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> False).
% 51.29/51.47 do 0 intro. intros zenon_Hde zenon_H8c zenon_H19 zenon_Hc2 zenon_Hb5 zenon_H4b zenon_H42 zenon_H50 zenon_Haf zenon_H54 zenon_H95 zenon_H66 zenon_H65 zenon_H9e zenon_Ha2 zenon_Hb0 zenon_H2e1 zenon_H2ba zenon_H2ff zenon_H7c zenon_Hc8 zenon_Hb8 zenon_H35 zenon_H128 zenon_H108 zenon_H321 zenon_H12c zenon_H131 zenon_H3d zenon_Hab zenon_Hd3 zenon_H2c zenon_H1c zenon_Hda.
% 51.29/51.47 apply (zenon_or_s _ _ zenon_Hde); [ zenon_intro zenon_H49 | zenon_intro zenon_Hdf ].
% 51.29/51.47 apply (zenon_L403_); trivial.
% 51.29/51.47 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_Haa | zenon_intro zenon_He0 ].
% 51.29/51.47 apply (zenon_L34_); trivial.
% 51.29/51.47 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hd2 | zenon_intro zenon_Hd9 ].
% 51.29/51.47 apply (zenon_L45_); trivial.
% 51.29/51.47 apply (zenon_L46_); trivial.
% 51.29/51.47 (* end of lemma zenon_L404_ *)
% 51.29/51.47 assert (zenon_L405_ : (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((e11) = (e13))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (e10)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((e10) = (e12))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op1 (e12) (e10)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e13) (e10)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e13)) = (e10)) -> (~((e10) = (e13))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e11))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False).
% 51.29/51.47 do 0 intro. intros zenon_H324 zenon_H24 zenon_H23 zenon_H2db zenon_Hda zenon_H2c zenon_Hd3 zenon_Hab zenon_H3d zenon_H131 zenon_H12c zenon_H108 zenon_H128 zenon_H35 zenon_Hb8 zenon_Hc8 zenon_H7c zenon_H2ff zenon_H2ba zenon_H2e1 zenon_Hb0 zenon_Ha2 zenon_H9e zenon_H65 zenon_H66 zenon_H95 zenon_H54 zenon_Haf zenon_H50 zenon_H42 zenon_H4b zenon_Hb5 zenon_H8c zenon_Hde zenon_H1c zenon_H19 zenon_Hc2.
% 51.29/51.47 apply (zenon_or_s _ _ zenon_H324); [ zenon_intro zenon_H22 | zenon_intro zenon_H325 ].
% 51.29/51.47 apply (zenon_L5_); trivial.
% 51.29/51.47 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H126 | zenon_intro zenon_H326 ].
% 51.29/51.47 apply (zenon_L386_); trivial.
% 51.29/51.47 apply (zenon_or_s _ _ zenon_H326); [ zenon_intro zenon_H321 | zenon_intro zenon_Hc1 ].
% 51.29/51.47 apply (zenon_L404_); trivial.
% 51.29/51.47 apply (zenon_L41_); trivial.
% 51.29/51.47 (* end of lemma zenon_L405_ *)
% 51.29/51.47 assert (zenon_L406_ : (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e13))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((op1 (e12) (e10)) = (e12)) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (e10)) = (e11)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> ((op1 (e10) (e11)) = (e11)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> False).
% 51.29/51.47 do 0 intro. intros zenon_Hff zenon_Hc2 zenon_H19 zenon_H8c zenon_Hb5 zenon_H42 zenon_Haf zenon_H54 zenon_H95 zenon_H65 zenon_H9e zenon_Ha2 zenon_Hb0 zenon_H2e1 zenon_H2ba zenon_H2ff zenon_H7c zenon_Hc8 zenon_Hb8 zenon_H35 zenon_H128 zenon_H108 zenon_H12c zenon_H131 zenon_H3d zenon_H2db zenon_H23 zenon_H24 zenon_H324 zenon_H90 zenon_H72 zenon_H2ce zenon_H10e zenon_H2e0 zenon_H113 zenon_Hf6 zenon_H10b zenon_H2b zenon_Hfe zenon_H104 zenon_H105 zenon_H117 zenon_H7d zenon_Hcb zenon_He1 zenon_Hcf zenon_Hfb zenon_Hde zenon_H4b zenon_Hab zenon_Hd3 zenon_H2c zenon_H1c zenon_Hda.
% 51.29/51.47 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H3c | zenon_intro zenon_H102 ].
% 51.29/51.47 apply (zenon_L317_); trivial.
% 51.29/51.47 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_H46 | zenon_intro zenon_H103 ].
% 51.29/51.47 apply (zenon_L385_); trivial.
% 51.29/51.47 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_He6 | zenon_intro zenon_H4a ].
% 51.29/51.47 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hfc ].
% 51.29/51.47 apply (zenon_L317_); trivial.
% 51.29/51.47 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H41 | zenon_intro zenon_Hfd ].
% 51.29/51.47 apply (zenon_L328_); trivial.
% 51.29/51.47 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_He2 | zenon_intro zenon_H66 ].
% 51.29/51.47 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H33 | zenon_intro zenon_H2e2 ].
% 51.29/51.47 apply (zenon_L83_); trivial.
% 51.29/51.47 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2e3 ].
% 51.29/51.47 apply (zenon_L283_); trivial.
% 51.29/51.47 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H126 | zenon_intro zenon_H50 ].
% 51.29/51.47 apply (zenon_or_s _ _ zenon_Hde); [ zenon_intro zenon_H49 | zenon_intro zenon_Hdf ].
% 51.29/51.47 apply (zenon_L397_); trivial.
% 51.29/51.47 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_Haa | zenon_intro zenon_He0 ].
% 51.29/51.47 apply (zenon_L34_); trivial.
% 51.29/51.47 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hd2 | zenon_intro zenon_Hd9 ].
% 51.29/51.47 apply (zenon_L45_); trivial.
% 51.29/51.47 apply (zenon_L46_); trivial.
% 51.29/51.47 apply (zenon_or_s _ _ zenon_H324); [ zenon_intro zenon_H22 | zenon_intro zenon_H325 ].
% 51.29/51.47 apply (zenon_L56_); trivial.
% 51.29/51.47 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H126 | zenon_intro zenon_H326 ].
% 51.29/51.47 apply (zenon_L386_); trivial.
% 51.29/51.47 apply (zenon_or_s _ _ zenon_H326); [ zenon_intro zenon_H321 | zenon_intro zenon_Hc1 ].
% 51.29/51.47 apply (zenon_L398_); trivial.
% 51.29/51.47 apply (zenon_L41_); trivial.
% 51.29/51.47 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H33 | zenon_intro zenon_H2e2 ].
% 51.29/51.47 apply (zenon_L74_); trivial.
% 51.29/51.47 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2e3 ].
% 51.29/51.47 apply (zenon_L283_); trivial.
% 51.29/51.47 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H126 | zenon_intro zenon_H50 ].
% 51.29/51.47 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hc9 ].
% 51.29/51.47 apply (zenon_L39_); trivial.
% 51.29/51.47 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hca ].
% 51.29/51.47 apply (zenon_L402_); trivial.
% 51.29/51.47 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H8b ].
% 51.29/51.47 apply (zenon_L41_); trivial.
% 51.29/51.47 apply (zenon_L24_); trivial.
% 51.29/51.47 apply (zenon_L405_); trivial.
% 51.29/51.47 apply (zenon_L335_); trivial.
% 51.29/51.47 (* end of lemma zenon_L406_ *)
% 51.29/51.47 assert (zenon_L407_ : (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> ((op1 (e10) (e10)) = (e10)) -> ((op1 (e11) (e10)) = (e11)) -> (~((e10) = (e11))) -> ((e11) = (op1 (e13) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e13))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (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 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((op1 (e10) (e11)) = (e13)) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((op1 (e13) (e10)) = (e12)) -> (~((e12) = (e13))) -> False).
% 51.29/51.47 do 0 intro. intros zenon_Hfb zenon_H23 zenon_H108 zenon_H8c zenon_H19 zenon_H1c zenon_Hc2 zenon_H90 zenon_H35 zenon_Hda zenon_H2c zenon_Hd3 zenon_Hab zenon_Hcf zenon_H42 zenon_H7d zenon_H54 zenon_He1 zenon_H3d zenon_Hde zenon_Hb8 zenon_Hc8 zenon_Hf3 zenon_Hec zenon_Hf0 zenon_Hcb zenon_H45 zenon_H46 zenon_Hb5 zenon_H9e zenon_Hea zenon_Hb0 zenon_Hf8 zenon_He8 zenon_H4b.
% 51.29/51.47 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hfc ].
% 51.29/51.47 apply (zenon_L317_); trivial.
% 51.29/51.47 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H41 | zenon_intro zenon_Hfd ].
% 51.29/51.47 apply (zenon_L328_); trivial.
% 51.29/51.47 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_He2 | zenon_intro zenon_H66 ].
% 51.29/51.47 apply (zenon_L352_); trivial.
% 51.29/51.47 apply (zenon_L57_); trivial.
% 51.29/51.47 (* end of lemma zenon_L407_ *)
% 51.29/51.47 assert (zenon_L408_ : (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e11))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((op1 (e13) (e10)) = (e12)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e10)) = (e13)) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e13))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e11) = (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> False).
% 51.29/51.47 do 0 intro. intros zenon_Hde zenon_H8c zenon_H19 zenon_Hc2 zenon_Hcf zenon_He8 zenon_He1 zenon_H41 zenon_H50 zenon_Hea zenon_H9e zenon_H42 zenon_H4b zenon_Hb5 zenon_H3d zenon_Hb8 zenon_Hc8 zenon_Hab zenon_Hd3 zenon_H2c zenon_H1c zenon_Hda.
% 51.29/51.47 apply (zenon_or_s _ _ zenon_Hde); [ zenon_intro zenon_H49 | zenon_intro zenon_Hdf ].
% 51.29/51.47 apply (zenon_L360_); trivial.
% 51.29/51.47 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_Haa | zenon_intro zenon_He0 ].
% 51.29/51.47 apply (zenon_L34_); trivial.
% 51.29/51.47 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hd2 | zenon_intro zenon_Hd9 ].
% 51.29/51.47 apply (zenon_L45_); trivial.
% 51.29/51.47 apply (zenon_L46_); trivial.
% 51.29/51.47 (* end of lemma zenon_L408_ *)
% 51.29/51.47 assert (zenon_L409_ : (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((op1 (e10) (e11)) = (e11)) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e11))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((op1 (e13) (e10)) = (e12)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e13))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e11) = (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> False).
% 51.29/51.47 do 0 intro. intros zenon_H2e0 zenon_H10e zenon_H54 zenon_H45 zenon_H104 zenon_H318 zenon_Hde zenon_H8c zenon_H19 zenon_Hc2 zenon_Hcf zenon_He8 zenon_He1 zenon_H41 zenon_Hea zenon_H9e zenon_H42 zenon_H4b zenon_Hb5 zenon_H3d zenon_Hb8 zenon_Hc8 zenon_Hab zenon_Hd3 zenon_H2c zenon_H1c zenon_Hda.
% 51.29/51.47 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H33 | zenon_intro zenon_H2e2 ].
% 51.29/51.47 apply (zenon_L12_); trivial.
% 51.29/51.47 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2e3 ].
% 51.29/51.47 apply (zenon_L283_); trivial.
% 51.29/51.47 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H126 | zenon_intro zenon_H50 ].
% 51.29/51.47 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H108 | zenon_intro zenon_H319 ].
% 51.29/51.47 apply (zenon_L328_); trivial.
% 51.29/51.47 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H30b | zenon_intro zenon_H31a ].
% 51.29/51.47 apply (zenon_L340_); trivial.
% 51.29/51.47 apply (zenon_or_s _ _ zenon_H31a); [ zenon_intro zenon_H129 | zenon_intro zenon_Ha5 ].
% 51.29/51.47 apply (zenon_L359_); trivial.
% 51.29/51.47 apply (zenon_L33_); trivial.
% 51.29/51.47 apply (zenon_L408_); trivial.
% 51.29/51.47 (* end of lemma zenon_L409_ *)
% 51.29/51.47 assert (zenon_L410_ : (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> ((op1 (e13) (e11)) = (e10)) -> ((op1 (e12) (e12)) = (e10)) -> ((op1 (e11) (e10)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> ((op1 (e12) (e13)) = (e13)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e10)) = (e12)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e12)) = (e13)) -> False).
% 51.29/51.47 do 0 intro. intros zenon_H131 zenon_Hbe zenon_H321 zenon_H108 zenon_H128 zenon_Hda zenon_H49 zenon_H96 zenon_H9e zenon_H12c zenon_He1 zenon_Hf0 zenon_He8 zenon_Hec zenon_H19 zenon_H1c zenon_Hc2 zenon_Hf3 zenon_Hcb zenon_Hcc.
% 51.29/51.47 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_H126 | zenon_intro zenon_H132 ].
% 51.29/51.47 apply (zenon_L387_); trivial.
% 51.29/51.47 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_H129 | zenon_intro zenon_H133 ].
% 51.29/51.47 apply (zenon_L101_); trivial.
% 51.29/51.47 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H12b | zenon_intro zenon_Ha3 ].
% 51.29/51.47 apply (zenon_L104_); trivial.
% 51.29/51.47 apply (zenon_L43_); trivial.
% 51.29/51.47 (* end of lemma zenon_L410_ *)
% 51.29/51.47 assert (zenon_L411_ : (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e12) (e13)) = (e10)) -> ((op1 (e12) (e10)) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (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) (e11)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e10)) = (e12)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (e10)) = (e11)) -> ((op1 (e12) (e12)) = (e10)) -> ((op1 (e13) (e11)) = (e10)) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((e11) = (e13))) -> ((e11) = (op1 (e13) (e13))) -> False).
% 51.29/51.47 do 0 intro. intros zenon_Hb5 zenon_H2c zenon_Hd3 zenon_Hab zenon_H4b zenon_Hde zenon_H7d zenon_H62 zenon_He2 zenon_H54 zenon_Hcc zenon_Hcb zenon_Hf3 zenon_Hc2 zenon_H1c zenon_Hec zenon_He8 zenon_Hf0 zenon_He1 zenon_H12c zenon_H9e zenon_H49 zenon_Hda zenon_H128 zenon_H108 zenon_H321 zenon_Hbe zenon_H131 zenon_H3d zenon_H19.
% 51.29/51.47 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H4a | zenon_intro zenon_Hb6 ].
% 51.29/51.47 apply (zenon_L335_); trivial.
% 51.29/51.47 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H51 | zenon_intro zenon_Hb7 ].
% 51.29/51.47 apply (zenon_L51_); trivial.
% 51.29/51.47 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb3 ].
% 51.29/51.47 apply (zenon_L410_); trivial.
% 51.29/51.47 apply (zenon_L37_); trivial.
% 51.29/51.47 (* end of lemma zenon_L411_ *)
% 51.29/51.47 assert (zenon_L412_ : (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e11) (e13)) = (e10)) -> (~((e11) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e12) (e13)) = (e10)) -> ((op1 (e12) (e10)) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e13) (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) (e12)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e10)) = (e12)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (e10)) = (e11)) -> ((op1 (e13) (e11)) = (e10)) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e13))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False).
% 51.29/51.47 do 0 intro. intros zenon_H324 zenon_He6 zenon_H2db zenon_H50 zenon_H3d zenon_Hb5 zenon_H2c zenon_Hd3 zenon_Hab zenon_H4b zenon_Hde zenon_H7d zenon_H62 zenon_He2 zenon_H54 zenon_Hcb zenon_Hf3 zenon_Hec zenon_He8 zenon_Hf0 zenon_He1 zenon_H12c zenon_H9e zenon_H49 zenon_Hda zenon_H128 zenon_H108 zenon_Hbe zenon_H131 zenon_Hc8 zenon_Hb8 zenon_H42 zenon_H8c zenon_Hcf zenon_H1c zenon_H19 zenon_Hc2.
% 51.29/51.47 apply (zenon_or_s _ _ zenon_H324); [ zenon_intro zenon_H22 | zenon_intro zenon_H325 ].
% 51.29/51.47 apply (zenon_L56_); trivial.
% 51.29/51.47 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H126 | zenon_intro zenon_H326 ].
% 51.29/51.47 apply (zenon_L303_); trivial.
% 51.29/51.47 apply (zenon_or_s _ _ zenon_H326); [ zenon_intro zenon_H321 | zenon_intro zenon_Hc1 ].
% 51.29/51.47 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H66 | zenon_intro zenon_Hd0 ].
% 51.29/51.47 apply (zenon_L57_); trivial.
% 51.29/51.47 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hd1 ].
% 51.29/51.47 apply (zenon_L42_); trivial.
% 51.29/51.47 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hb3 ].
% 51.29/51.47 apply (zenon_L411_); trivial.
% 51.29/51.47 apply (zenon_L37_); trivial.
% 51.29/51.47 apply (zenon_L41_); trivial.
% 51.29/51.47 (* end of lemma zenon_L412_ *)
% 51.29/51.47 assert (zenon_L413_ : (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e11))) -> (~((e10) = (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> ((op1 (e13) (e11)) = (e10)) -> ((op1 (e11) (e10)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e10)) = (e12)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e10)) = (e13)) -> ((op1 (e12) (e13)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e10) (e12)) = (e13)) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e12))) -> (~((e11) = (e13))) -> ((e11) = (op1 (e13) (e13))) -> False).
% 51.29/51.47 do 0 intro. intros zenon_Hb0 zenon_Hc2 zenon_Hcf zenon_H8c zenon_H42 zenon_Hb8 zenon_Hc8 zenon_H131 zenon_Hbe zenon_H108 zenon_H128 zenon_H12c zenon_He1 zenon_Hf0 zenon_He8 zenon_Hec zenon_Hf3 zenon_Hcb zenon_He2 zenon_H62 zenon_H7d zenon_Hde zenon_H4b zenon_Hd3 zenon_Hb5 zenon_H2db zenon_He6 zenon_H324 zenon_Hab zenon_H1c zenon_H2c zenon_H95 zenon_H54 zenon_H9e zenon_H49 zenon_Hda zenon_H90 zenon_H35 zenon_H3d zenon_H19.
% 51.29/51.47 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H66 | zenon_intro zenon_Hd0 ].
% 51.29/51.47 apply (zenon_L57_); trivial.
% 51.29/51.47 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hd1 ].
% 51.29/51.47 apply (zenon_L42_); trivial.
% 51.29/51.47 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hb3 ].
% 51.29/51.47 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H4a | zenon_intro zenon_Hb6 ].
% 51.29/51.47 apply (zenon_L335_); trivial.
% 51.29/51.47 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H51 | zenon_intro zenon_Hb7 ].
% 51.29/51.47 apply (zenon_L52_); trivial.
% 51.29/51.47 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb3 ].
% 51.29/51.47 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H50 | zenon_intro zenon_Hb1 ].
% 51.29/51.47 apply (zenon_L412_); trivial.
% 51.29/51.47 apply (zenon_or_s _ _ zenon_Hb1); [ zenon_intro zenon_Ha5 | zenon_intro zenon_Hb2 ].
% 51.29/51.47 apply (zenon_L33_); trivial.
% 51.29/51.47 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_Haa | zenon_intro zenon_H51 ].
% 51.29/51.47 apply (zenon_L34_); trivial.
% 51.29/51.47 apply (zenon_L345_); trivial.
% 51.29/51.47 apply (zenon_L37_); trivial.
% 51.29/51.47 apply (zenon_L37_); trivial.
% 51.29/51.47 (* end of lemma zenon_L413_ *)
% 51.29/51.47 assert (zenon_L414_ : ((e11) = (op1 (e13) (e13))) -> (~((e11) = (e13))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e12) (e13)) = (e10)) -> ((op1 (e12) (e10)) = (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) (e12)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e10)) = (e12)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (e10)) = (e11)) -> ((op1 (e13) (e11)) = (e10)) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e13))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> False).
% 51.29/51.47 do 0 intro. intros zenon_H19 zenon_H3d zenon_H35 zenon_H90 zenon_H9e zenon_H54 zenon_H95 zenon_H324 zenon_He6 zenon_H2db zenon_Hb5 zenon_H4b zenon_Hde zenon_H7d zenon_H62 zenon_He2 zenon_Hcb zenon_Hf3 zenon_Hec zenon_He8 zenon_Hf0 zenon_He1 zenon_H12c zenon_H128 zenon_H108 zenon_Hbe zenon_H131 zenon_Hc8 zenon_Hb8 zenon_H42 zenon_H8c zenon_Hcf zenon_Hc2 zenon_Hb0 zenon_Hab zenon_Hd3 zenon_H2c zenon_H1c zenon_Hda.
% 51.29/51.47 apply (zenon_or_s _ _ zenon_Hde); [ zenon_intro zenon_H49 | zenon_intro zenon_Hdf ].
% 51.29/51.47 apply (zenon_L413_); trivial.
% 51.29/51.47 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_Haa | zenon_intro zenon_He0 ].
% 51.29/51.47 apply (zenon_L34_); trivial.
% 51.29/51.47 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hd2 | zenon_intro zenon_Hd9 ].
% 51.29/51.47 apply (zenon_L45_); trivial.
% 51.29/51.47 apply (zenon_L46_); trivial.
% 51.29/51.47 (* end of lemma zenon_L414_ *)
% 51.29/51.47 assert (zenon_L415_ : ((op1 (e11) (e12)) = (e10)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> ((op1 (e13) (e11)) = (e10)) -> ((op1 (e11) (e10)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e10)) = (e12)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e10) (e12)) = (e13)) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e12))) -> (~((e11) = (e13))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> False).
% 51.29/51.47 do 0 intro. intros zenon_H126 zenon_Hda zenon_H1c zenon_H2c zenon_Hd3 zenon_Hab zenon_Hb0 zenon_Hc2 zenon_Hcf zenon_H42 zenon_Hb8 zenon_Hc8 zenon_H131 zenon_Hbe zenon_H108 zenon_H128 zenon_H12c zenon_He1 zenon_Hf0 zenon_He8 zenon_Hec zenon_Hf3 zenon_Hcb zenon_He2 zenon_H7d zenon_Hde zenon_H4b zenon_Hb5 zenon_H2db zenon_He6 zenon_H324 zenon_H95 zenon_H54 zenon_H9e zenon_H90 zenon_H35 zenon_H3d zenon_H19 zenon_H8c.
% 51.29/51.47 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H4e | zenon_intro zenon_H91 ].
% 51.29/51.47 apply (zenon_L47_); trivial.
% 51.29/51.47 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H50 | zenon_intro zenon_H92 ].
% 51.29/51.47 apply (zenon_L303_); trivial.
% 51.29/51.47 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H62 | zenon_intro zenon_H8b ].
% 51.29/51.47 apply (zenon_L414_); trivial.
% 51.29/51.47 apply (zenon_L24_); trivial.
% 51.29/51.47 (* end of lemma zenon_L415_ *)
% 51.29/51.47 assert (zenon_L416_ : (~((e11) = (e13))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e12) (e10)) = (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) (e12)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e10)) = (e12)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (e10)) = (e11)) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e12)) = (e10)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> False).
% 51.29/51.47 do 0 intro. intros zenon_H3d zenon_H35 zenon_H90 zenon_H9e zenon_H54 zenon_H95 zenon_H324 zenon_He6 zenon_H2db zenon_Hb5 zenon_H4b zenon_Hde zenon_H7d zenon_He2 zenon_Hcb zenon_Hf3 zenon_Hec zenon_He8 zenon_Hf0 zenon_He1 zenon_H12c zenon_H128 zenon_H108 zenon_H131 zenon_Hc8 zenon_Hb8 zenon_H42 zenon_Hcf zenon_Hb0 zenon_Hab zenon_Hd3 zenon_H2c zenon_Hda zenon_H126 zenon_Hc2 zenon_H1c zenon_H19 zenon_H8c.
% 51.29/51.47 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hc9 ].
% 51.29/51.47 apply (zenon_L39_); trivial.
% 51.29/51.47 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hca ].
% 51.29/51.47 apply (zenon_L415_); trivial.
% 51.29/51.47 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H8b ].
% 51.29/51.47 apply (zenon_L41_); trivial.
% 51.29/51.47 apply (zenon_L24_); trivial.
% 51.29/51.47 (* end of lemma zenon_L416_ *)
% 51.29/51.47 assert (zenon_L417_ : (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e12))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e12) (e10)) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e13) (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) (e11)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e10)) = (e12)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (e10)) = (e11)) -> ((op1 (e12) (e12)) = (e10)) -> ((op1 (e13) (e11)) = (e10)) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((e11) = (e13))) -> ((e11) = (op1 (e13) (e13))) -> False).
% 51.29/51.47 do 0 intro. intros zenon_Hb5 zenon_H4b zenon_H2c zenon_Hd3 zenon_Hab zenon_H90 zenon_H35 zenon_H42 zenon_H7d zenon_He2 zenon_H54 zenon_H8c zenon_Hde zenon_Hcc zenon_Hcb zenon_Hf3 zenon_Hc2 zenon_H1c zenon_Hec zenon_He8 zenon_Hf0 zenon_He1 zenon_H12c zenon_H9e zenon_H49 zenon_Hda zenon_H128 zenon_H108 zenon_H321 zenon_Hbe zenon_H131 zenon_H3d zenon_H19.
% 51.29/51.47 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H4a | zenon_intro zenon_Hb6 ].
% 51.29/51.47 apply (zenon_L15_); trivial.
% 51.29/51.47 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H51 | zenon_intro zenon_Hb7 ].
% 51.29/51.47 apply (zenon_L372_); trivial.
% 51.29/51.47 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb3 ].
% 51.29/51.47 apply (zenon_L410_); trivial.
% 51.29/51.47 apply (zenon_L37_); trivial.
% 51.29/51.47 (* end of lemma zenon_L417_ *)
% 51.29/51.47 assert (zenon_L418_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> ((op1 (e13) (e11)) = (e10)) -> ((op1 (e12) (e12)) = (e10)) -> ((op1 (e11) (e10)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e10)) = (e12)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e12) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e10) = (e13))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e11) = (e13))) -> ((e11) = (op1 (e13) (e13))) -> False).
% 51.29/51.47 do 0 intro. intros zenon_Hcf zenon_Hb8 zenon_Hc8 zenon_H131 zenon_Hbe zenon_H321 zenon_H108 zenon_H128 zenon_Hda zenon_H49 zenon_H9e zenon_H12c zenon_He1 zenon_Hf0 zenon_He8 zenon_Hec zenon_H1c zenon_Hc2 zenon_Hf3 zenon_Hcb zenon_Hde zenon_H8c zenon_H54 zenon_He2 zenon_H7d zenon_H42 zenon_H35 zenon_H90 zenon_Hab zenon_Hd3 zenon_H2c zenon_H4b zenon_Hb5 zenon_H3d zenon_H19.
% 51.29/51.47 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H66 | zenon_intro zenon_Hd0 ].
% 51.29/51.47 apply (zenon_L57_); trivial.
% 51.29/51.47 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hd1 ].
% 51.29/51.47 apply (zenon_L42_); trivial.
% 51.29/51.47 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hb3 ].
% 51.29/51.47 apply (zenon_L417_); trivial.
% 51.29/51.47 apply (zenon_L37_); trivial.
% 51.29/51.47 (* end of lemma zenon_L418_ *)
% 51.29/51.47 assert (zenon_L419_ : (~((e11) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e12))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e12) (e10)) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (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 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e10)) = (e12)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (e10)) = (e11)) -> ((op1 (e12) (e12)) = (e10)) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> False).
% 51.29/51.47 do 0 intro. intros zenon_H3d zenon_Hb5 zenon_H4b zenon_H2c zenon_Hd3 zenon_Hab zenon_H90 zenon_H35 zenon_H42 zenon_H7d zenon_He2 zenon_H54 zenon_Hde zenon_Hcb zenon_Hf3 zenon_Hec zenon_He8 zenon_Hf0 zenon_He1 zenon_H12c zenon_H9e zenon_H49 zenon_Hda zenon_H128 zenon_H108 zenon_H321 zenon_H131 zenon_Hc8 zenon_Hb8 zenon_Hcf zenon_Hc2 zenon_H1c zenon_H19 zenon_H8c.
% 51.29/51.47 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hc9 ].
% 51.29/51.47 apply (zenon_L39_); trivial.
% 51.29/51.47 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hca ].
% 51.29/51.47 apply (zenon_L418_); trivial.
% 51.29/51.47 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H8b ].
% 51.29/51.47 apply (zenon_L41_); trivial.
% 51.29/51.47 apply (zenon_L24_); trivial.
% 51.29/51.47 (* end of lemma zenon_L419_ *)
% 51.29/51.47 assert (zenon_L420_ : (~((e10) = (e11))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> ((op1 (e12) (e12)) = (e10)) -> ((op1 (e11) (e10)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e10)) = (e12)) -> (~((op1 (e13) (e12)) = (op1 (e13) (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) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e12) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e10) = (e13))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e11) = (e13))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> False).
% 51.29/51.47 do 0 intro. intros zenon_H8c zenon_H19 zenon_Hc2 zenon_Hcf zenon_Hb8 zenon_Hc8 zenon_H131 zenon_H321 zenon_H108 zenon_H128 zenon_H9e zenon_H12c zenon_He1 zenon_Hf0 zenon_He8 zenon_Hec zenon_Hf3 zenon_Hcb zenon_Hde zenon_H54 zenon_He2 zenon_H7d zenon_H42 zenon_H35 zenon_H90 zenon_H4b zenon_Hb5 zenon_H3d zenon_Hab zenon_Hd3 zenon_H2c zenon_H1c zenon_Hda.
% 51.29/51.47 apply (zenon_or_s _ _ zenon_Hde); [ zenon_intro zenon_H49 | zenon_intro zenon_Hdf ].
% 51.29/51.47 apply (zenon_L419_); trivial.
% 51.29/51.47 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_Haa | zenon_intro zenon_He0 ].
% 51.29/51.47 apply (zenon_L34_); trivial.
% 51.29/51.47 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hd2 | zenon_intro zenon_Hd9 ].
% 51.29/51.47 apply (zenon_L45_); trivial.
% 51.29/51.47 apply (zenon_L46_); trivial.
% 51.29/51.47 (* end of lemma zenon_L420_ *)
% 51.29/51.47 assert (zenon_L421_ : ((op1 (e12) (e10)) = (e11)) -> ((op1 (e12) (e10)) = (e13)) -> (~((e11) = (e13))) -> False).
% 51.29/51.47 do 0 intro. intros zenon_H10a zenon_He2 zenon_H3d.
% 51.29/51.47 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H3e | zenon_intro zenon_H17 ].
% 51.29/51.47 cut (((e13) = (e13)) = ((e11) = (e13))).
% 51.29/51.47 intro zenon_D_pnotp.
% 51.29/51.47 apply zenon_H3d.
% 51.29/51.47 rewrite <- zenon_D_pnotp.
% 51.29/51.47 exact zenon_H3e.
% 51.29/51.47 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H17].
% 51.29/51.47 cut (((e13) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H3f].
% 51.29/51.47 congruence.
% 51.29/51.47 cut (((op1 (e12) (e10)) = (e11)) = ((e13) = (e11))).
% 51.29/51.47 intro zenon_D_pnotp.
% 51.29/51.47 apply zenon_H3f.
% 51.29/51.47 rewrite <- zenon_D_pnotp.
% 51.29/51.47 exact zenon_H10a.
% 51.29/51.47 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H3a].
% 51.29/51.47 cut (((op1 (e12) (e10)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H122].
% 51.29/51.47 congruence.
% 51.29/51.47 exact (zenon_H122 zenon_He2).
% 51.29/51.47 apply zenon_H3a. apply refl_equal.
% 51.29/51.47 apply zenon_H17. apply refl_equal.
% 51.29/51.47 apply zenon_H17. apply refl_equal.
% 51.29/51.47 (* end of lemma zenon_L421_ *)
% 51.29/51.47 assert (zenon_L422_ : (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((e11) = (e12))) -> ((op1 (e11) (e10)) = (e12)) -> ((op1 (e10) (e11)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((e10) = (e11))) -> ((op1 (e11) (e12)) = (e10)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> False).
% 51.29/51.47 do 0 intro. intros zenon_H318 zenon_H10b zenon_H34 zenon_H104 zenon_H45 zenon_H8c zenon_H126 zenon_H54 zenon_H19.
% 51.29/51.47 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H108 | zenon_intro zenon_H319 ].
% 51.29/51.47 apply (zenon_L99_); trivial.
% 51.29/51.47 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H30b | zenon_intro zenon_H31a ].
% 51.29/51.47 apply (zenon_L340_); trivial.
% 51.29/51.47 apply (zenon_or_s _ _ zenon_H31a); [ zenon_intro zenon_H129 | zenon_intro zenon_Ha5 ].
% 51.29/51.47 apply (zenon_L359_); trivial.
% 51.29/51.47 apply (zenon_L33_); trivial.
% 51.29/51.47 (* end of lemma zenon_L422_ *)
% 51.29/51.47 assert (zenon_L423_ : ((op1 (e12) (e13)) = (e13)) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (e13) (e10)) = (e13)) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e13) (e11)) = (e10)) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e12)) = (e12)) -> False).
% 51.29/51.47 do 0 intro. intros zenon_H96 zenon_H49 zenon_H95 zenon_H66 zenon_H50 zenon_H65 zenon_Hbe zenon_H10a zenon_H10e zenon_He1 zenon_Hf1.
% 51.29/51.47 apply (zenon_or_s _ _ ax10); [ zenon_intro zenon_H7f | zenon_intro zenon_H7e ].
% 51.29/51.47 apply (zenon_L27_); trivial.
% 51.29/51.47 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H53 | zenon_intro zenon_H8a ].
% 51.29/51.47 apply (zenon_L29_); trivial.
% 51.29/51.47 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H64 | zenon_intro zenon_H71 ].
% 51.29/51.47 apply (zenon_L76_); trivial.
% 51.29/51.47 apply (zenon_L336_); trivial.
% 51.29/51.47 (* end of lemma zenon_L423_ *)
% 51.29/51.47 assert (zenon_L424_ : (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((e10) = (e13))) -> ((op1 (e13) (e12)) = (e12)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e12) (e10)) = (e11)) -> ((op1 (e13) (e11)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e11) (e13)) = (e10)) -> ((op1 (e13) (e10)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((e11) = (e13))) -> ((e11) = (op1 (e13) (e13))) -> False).
% 51.29/51.47 do 0 intro. intros zenon_Hb5 zenon_H4b zenon_H42 zenon_Hf1 zenon_He1 zenon_H10e zenon_H10a zenon_Hbe zenon_H65 zenon_H50 zenon_H66 zenon_H95 zenon_H49 zenon_H3d zenon_H19.
% 51.29/51.47 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H4a | zenon_intro zenon_Hb6 ].
% 51.29/51.47 apply (zenon_L15_); trivial.
% 51.29/51.47 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H51 | zenon_intro zenon_Hb7 ].
% 51.29/51.47 apply (zenon_L17_); trivial.
% 51.29/51.47 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb3 ].
% 51.29/51.47 apply (zenon_L423_); trivial.
% 51.29/51.47 apply (zenon_L37_); trivial.
% 51.29/51.47 (* end of lemma zenon_L424_ *)
% 51.29/51.47 assert (zenon_L425_ : (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e11) = (e13))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (e13) (e10)) = (e13)) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e12)) = (e12)) -> (~((e10) = (e13))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> False).
% 51.29/51.47 do 0 intro. intros zenon_Hc8 zenon_Hb8 zenon_H3d zenon_H49 zenon_H95 zenon_H66 zenon_H50 zenon_H65 zenon_H10a zenon_H10e zenon_He1 zenon_Hf1 zenon_H42 zenon_H4b zenon_Hb5 zenon_Hc2 zenon_H1c zenon_H19 zenon_H8c.
% 51.29/51.47 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hc9 ].
% 51.29/51.47 apply (zenon_L39_); trivial.
% 51.29/51.47 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hca ].
% 51.29/51.47 apply (zenon_L424_); trivial.
% 51.29/51.47 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H8b ].
% 51.29/51.47 apply (zenon_L41_); trivial.
% 51.29/51.47 apply (zenon_L24_); trivial.
% 51.29/51.47 (* end of lemma zenon_L425_ *)
% 51.29/51.47 assert (zenon_L426_ : (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (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) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (((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)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((e12) = (e13))) -> (~((e11) = (e13))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((op1 (e10) (e11)) = (e11)) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e10)) = (e10)) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((e11) = (e12))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> False).
% 51.29/51.47 do 0 intro. intros zenon_H131 zenon_H128 zenon_H12c zenon_Hf0 zenon_Hec zenon_Hf3 zenon_Hcb zenon_H7d zenon_H90 zenon_H2db zenon_H24 zenon_H324 zenon_H117 zenon_H105 zenon_Hf8 zenon_Hff zenon_Haf zenon_Ha2 zenon_H2e1 zenon_H2ba zenon_H2ff zenon_H72 zenon_H2ce zenon_H4b zenon_H3d zenon_H2e0 zenon_H10e zenon_H54 zenon_H45 zenon_H104 zenon_H318 zenon_Hde zenon_H8c zenon_Hc2 zenon_Hcf zenon_He1 zenon_Hea zenon_H9e zenon_H42 zenon_Hb5 zenon_Hb8 zenon_Hc8 zenon_Hab zenon_Hd3 zenon_H2c zenon_H1c zenon_Hda zenon_H23 zenon_Hfb zenon_H10b zenon_Hfe zenon_H2b zenon_Hb0 zenon_Hf6 zenon_H327 zenon_H35 zenon_H95 zenon_H65 zenon_H113 zenon_H19.
% 51.29/51.47 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H3b | zenon_intro zenon_H118 ].
% 51.29/51.47 apply (zenon_L73_); trivial.
% 51.29/51.47 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H108 | zenon_intro zenon_H119 ].
% 51.29/51.47 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ].
% 51.29/51.47 apply (zenon_L7_); trivial.
% 51.29/51.47 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_H34 | zenon_intro zenon_H101 ].
% 51.29/51.47 apply (zenon_L99_); trivial.
% 51.29/51.47 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_H7c | zenon_intro zenon_He8 ].
% 51.29/51.47 apply (zenon_L406_); trivial.
% 51.29/51.47 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H3c | zenon_intro zenon_H102 ].
% 51.29/51.47 apply (zenon_L317_); trivial.
% 51.29/51.47 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_H46 | zenon_intro zenon_H103 ].
% 51.29/51.47 apply (zenon_L407_); trivial.
% 51.29/51.47 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_He6 | zenon_intro zenon_H4a ].
% 51.29/51.47 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hfc ].
% 51.29/51.47 apply (zenon_L317_); trivial.
% 51.29/51.47 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H41 | zenon_intro zenon_Hfd ].
% 51.29/51.47 apply (zenon_L409_); trivial.
% 51.29/51.47 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_He2 | zenon_intro zenon_H66 ].
% 51.29/51.47 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H33 | zenon_intro zenon_H2e2 ].
% 51.29/51.47 apply (zenon_L83_); trivial.
% 51.29/51.47 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2e3 ].
% 51.29/51.47 apply (zenon_L283_); trivial.
% 51.29/51.47 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H126 | zenon_intro zenon_H50 ].
% 51.29/51.47 apply (zenon_L416_); trivial.
% 51.29/51.47 apply (zenon_or_s _ _ zenon_H324); [ zenon_intro zenon_H22 | zenon_intro zenon_H325 ].
% 51.29/51.47 apply (zenon_L5_); trivial.
% 51.29/51.47 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H126 | zenon_intro zenon_H326 ].
% 51.29/51.47 apply (zenon_L386_); trivial.
% 51.29/51.47 apply (zenon_or_s _ _ zenon_H326); [ zenon_intro zenon_H321 | zenon_intro zenon_Hc1 ].
% 51.29/51.47 apply (zenon_L420_); trivial.
% 51.29/51.47 apply (zenon_L41_); trivial.
% 51.29/51.47 apply (zenon_L57_); trivial.
% 51.29/51.47 apply (zenon_L335_); trivial.
% 51.29/51.47 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H10a | zenon_intro zenon_H114 ].
% 51.29/51.47 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ].
% 51.29/51.47 apply (zenon_L7_); trivial.
% 51.29/51.47 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_H34 | zenon_intro zenon_H101 ].
% 51.29/51.47 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hfc ].
% 51.29/51.47 apply (zenon_L317_); trivial.
% 51.29/51.47 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H41 | zenon_intro zenon_Hfd ].
% 51.29/51.47 apply (zenon_L86_); trivial.
% 51.29/51.47 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_He2 | zenon_intro zenon_H66 ].
% 51.29/51.47 apply (zenon_L421_); trivial.
% 51.29/51.47 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H33 | zenon_intro zenon_H2e2 ].
% 51.29/51.47 apply (zenon_L81_); trivial.
% 51.29/51.47 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2e3 ].
% 51.29/51.47 apply (zenon_L283_); trivial.
% 51.29/51.47 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H126 | zenon_intro zenon_H50 ].
% 51.29/51.47 apply (zenon_L422_); trivial.
% 51.29/51.47 apply (zenon_or_s _ _ zenon_H327); [ zenon_intro zenon_He8 | zenon_intro zenon_H328 ].
% 51.29/51.47 apply (zenon_L57_); trivial.
% 51.29/51.47 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H2de | zenon_intro zenon_H329 ].
% 51.29/51.47 apply (zenon_L309_); trivial.
% 51.29/51.47 apply (zenon_or_s _ _ zenon_H329); [ zenon_intro zenon_Hf1 | zenon_intro zenon_Hd9 ].
% 51.29/51.47 apply (zenon_or_s _ _ zenon_Hde); [ zenon_intro zenon_H49 | zenon_intro zenon_Hdf ].
% 51.29/51.47 apply (zenon_L425_); trivial.
% 51.29/51.47 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_Haa | zenon_intro zenon_He0 ].
% 51.29/51.47 apply (zenon_L34_); trivial.
% 51.29/51.47 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hd2 | zenon_intro zenon_Hd9 ].
% 51.29/51.47 apply (zenon_L45_); trivial.
% 51.29/51.47 apply (zenon_L46_); trivial.
% 51.29/51.47 apply (zenon_L46_); trivial.
% 51.29/51.47 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_H7c | zenon_intro zenon_He8 ].
% 51.29/51.47 apply (zenon_L75_); trivial.
% 51.29/51.47 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hfc ].
% 51.29/51.47 apply (zenon_L317_); trivial.
% 51.29/51.47 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H41 | zenon_intro zenon_Hfd ].
% 51.29/51.47 apply (zenon_L409_); trivial.
% 51.29/51.47 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_He2 | zenon_intro zenon_H66 ].
% 51.29/51.47 apply (zenon_L421_); trivial.
% 51.29/51.47 apply (zenon_L57_); trivial.
% 51.29/51.47 apply (zenon_L82_); trivial.
% 51.29/51.47 (* end of lemma zenon_L426_ *)
% 51.29/51.47 assert (zenon_L427_ : ((op1 (e10) (e12)) = (e11)) -> ((op1 (e10) (e12)) = (e13)) -> (~((e11) = (e13))) -> False).
% 51.29/51.47 do 0 intro. intros zenon_H11a zenon_He6 zenon_H3d.
% 51.29/51.47 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H3e | zenon_intro zenon_H17 ].
% 51.29/51.47 cut (((e13) = (e13)) = ((e11) = (e13))).
% 51.29/51.47 intro zenon_D_pnotp.
% 51.29/51.47 apply zenon_H3d.
% 51.29/51.47 rewrite <- zenon_D_pnotp.
% 51.29/51.47 exact zenon_H3e.
% 51.29/51.47 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H17].
% 51.29/51.47 cut (((e13) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H3f].
% 51.29/51.47 congruence.
% 51.29/51.47 cut (((op1 (e10) (e12)) = (e11)) = ((e13) = (e11))).
% 51.29/51.47 intro zenon_D_pnotp.
% 51.29/51.47 apply zenon_H3f.
% 51.29/51.47 rewrite <- zenon_D_pnotp.
% 51.29/51.47 exact zenon_H11a.
% 51.29/51.47 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H3a].
% 51.29/51.47 cut (((op1 (e10) (e12)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_He7].
% 51.29/51.47 congruence.
% 51.29/51.47 exact (zenon_He7 zenon_He6).
% 51.29/51.47 apply zenon_H3a. apply refl_equal.
% 51.29/51.47 apply zenon_H17. apply refl_equal.
% 51.29/51.47 apply zenon_H17. apply refl_equal.
% 51.29/51.47 (* end of lemma zenon_L427_ *)
% 51.29/51.47 assert (zenon_L428_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> ((e21) = (op2 (e23) (e23))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e20) (e21)) = (e23)) -> ((h4 (e13)) = (e23)) -> (~((h4 (op1 (e10) (e11))) = (op2 (h4 (e10)) (h4 (e11))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (((op1 (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))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (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)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e13))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> False).
% 51.29/51.47 do 0 intro. intros zenon_H13b zenon_H32a zenon_H2ba zenon_H2be zenon_H14e zenon_H2e7 zenon_H14 zenon_H13 zenon_H244 zenon_H2ea zenon_H2e9 zenon_H2db zenon_H324 zenon_H2e1 zenon_H2ff zenon_H2ce zenon_H2e0 zenon_H318 zenon_H327 zenon_H2d1 zenon_H2c9 zenon_H2c5 zenon_H31b zenon_H31e zenon_H2d4 zenon_H314 zenon_H30d zenon_H311 zenon_H305 zenon_H1b zenon_H19 zenon_Hb8 zenon_H136 zenon_Hc8 zenon_Hea zenon_Hcf zenon_Hfb zenon_Ha2 zenon_H65 zenon_H95 zenon_H45 zenon_Hf8 zenon_Hff zenon_H113 zenon_H123 zenon_H131 zenon_H125 zenon_H128 zenon_H3d zenon_He1 zenon_H12c zenon_H9e zenon_H42 zenon_H4b zenon_Hb5 zenon_Hf3 zenon_Hc2 zenon_Hec zenon_Hf0 zenon_Hcb zenon_H90 zenon_H10b zenon_H2b zenon_Hfe zenon_H105 zenon_H117 zenon_H8c zenon_Haf zenon_H72 zenon_H7d zenon_H10e zenon_H54 zenon_Hf6 zenon_Hb0 zenon_H24 zenon_H135 zenon_Hde zenon_H35 zenon_Hab zenon_Hd3 zenon_H2c zenon_H1c zenon_Hda.
% 51.29/51.47 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H23 | zenon_intro zenon_H13e ].
% 51.29/51.47 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H3b | zenon_intro zenon_H139 ].
% 51.29/51.47 apply (zenon_or_s _ _ zenon_H32a); [ zenon_intro zenon_H2d | zenon_intro zenon_H32b ].
% 51.29/51.47 apply (zenon_L7_); trivial.
% 51.29/51.47 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H2bb | zenon_intro zenon_H32c ].
% 51.29/51.47 apply (zenon_L281_); trivial.
% 51.29/51.47 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H2bf | zenon_intro zenon_H49 ].
% 51.29/51.48 apply (zenon_L282_); trivial.
% 51.29/51.48 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ].
% 51.29/51.48 apply (zenon_L7_); trivial.
% 51.29/51.48 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_H34 | zenon_intro zenon_H101 ].
% 51.29/51.48 apply (zenon_L325_); trivial.
% 51.29/51.48 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_H7c | zenon_intro zenon_He8 ].
% 51.29/51.48 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H3c | zenon_intro zenon_H102 ].
% 51.29/51.48 apply (zenon_L317_); trivial.
% 51.29/51.48 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_H46 | zenon_intro zenon_H103 ].
% 51.29/51.48 apply (zenon_L327_); trivial.
% 51.29/51.48 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_He6 | zenon_intro zenon_H4a ].
% 51.29/51.48 apply (zenon_L378_); trivial.
% 51.29/51.48 apply (zenon_L335_); trivial.
% 51.29/51.48 apply (zenon_L384_); trivial.
% 51.29/51.48 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H104 | zenon_intro zenon_H13a ].
% 51.29/51.48 apply (zenon_L426_); trivial.
% 51.29/51.48 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H11a | zenon_intro zenon_H11c ].
% 51.29/51.48 apply (zenon_or_s _ _ zenon_H32a); [ zenon_intro zenon_H2d | zenon_intro zenon_H32b ].
% 51.29/51.48 apply (zenon_L7_); trivial.
% 51.29/51.48 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H2bb | zenon_intro zenon_H32c ].
% 51.29/51.48 apply (zenon_L281_); trivial.
% 51.29/51.48 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H2bf | zenon_intro zenon_H49 ].
% 51.29/51.48 apply (zenon_L282_); trivial.
% 51.29/51.48 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H3c | zenon_intro zenon_H102 ].
% 51.29/51.48 apply (zenon_L317_); trivial.
% 51.29/51.48 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_H46 | zenon_intro zenon_H103 ].
% 51.29/51.48 apply (zenon_L327_); trivial.
% 51.29/51.48 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_He6 | zenon_intro zenon_H4a ].
% 51.29/51.48 apply (zenon_L427_); trivial.
% 51.29/51.48 apply (zenon_L15_); trivial.
% 51.29/51.48 apply (zenon_L85_); trivial.
% 51.29/51.48 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H1d | zenon_intro zenon_H14b ].
% 51.29/51.48 apply (zenon_L4_); trivial.
% 51.29/51.48 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H22 | zenon_intro zenon_H4e ].
% 51.29/51.48 apply (zenon_L109_); trivial.
% 51.29/51.48 apply (zenon_L47_); trivial.
% 51.29/51.48 (* end of lemma zenon_L428_ *)
% 51.29/51.48 assert (zenon_L429_ : ((op2 (e20) (e22)) = (e21)) -> ((op2 (e20) (e22)) = (e23)) -> (~((e21) = (e23))) -> False).
% 51.29/51.48 do 0 intro. intros zenon_H293 zenon_H256 zenon_H1f7.
% 51.29/51.48 elim (classic ((e23) = (e23))); [ zenon_intro zenon_H1ad | zenon_intro zenon_H14c ].
% 51.29/51.48 cut (((e23) = (e23)) = ((e21) = (e23))).
% 51.29/51.48 intro zenon_D_pnotp.
% 51.29/51.48 apply zenon_H1f7.
% 51.29/51.48 rewrite <- zenon_D_pnotp.
% 51.29/51.48 exact zenon_H1ad.
% 51.29/51.48 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H14c].
% 51.29/51.48 cut (((e23) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H239].
% 51.29/51.48 congruence.
% 51.29/51.48 cut (((op2 (e20) (e22)) = (e21)) = ((e23) = (e21))).
% 51.29/51.48 intro zenon_D_pnotp.
% 51.29/51.48 apply zenon_H239.
% 51.29/51.48 rewrite <- zenon_D_pnotp.
% 51.29/51.48 exact zenon_H293.
% 51.29/51.48 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H1f6].
% 51.29/51.48 cut (((op2 (e20) (e22)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H257].
% 51.29/51.48 congruence.
% 51.29/51.48 exact (zenon_H257 zenon_H256).
% 51.29/51.48 apply zenon_H1f6. apply refl_equal.
% 51.29/51.48 apply zenon_H14c. apply refl_equal.
% 51.29/51.48 apply zenon_H14c. apply refl_equal.
% 51.29/51.48 (* end of lemma zenon_L429_ *)
% 51.29/51.48 assert (zenon_L430_ : (~((op1 (e13) (e13)) = (op1 (op1 (e10) (e11)) (op1 (e10) (e11))))) -> ((op1 (e10) (e11)) = (e13)) -> False).
% 51.29/51.48 do 0 intro. intros zenon_H32d zenon_H46.
% 51.29/51.48 cut (((e13) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H32e].
% 51.29/51.48 cut (((e13) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H32e].
% 51.29/51.48 congruence.
% 51.29/51.48 apply zenon_H32e. apply sym_equal. exact zenon_H46.
% 51.29/51.48 apply zenon_H32e. apply sym_equal. exact zenon_H46.
% 51.29/51.48 (* end of lemma zenon_L430_ *)
% 51.29/51.48 assert (zenon_L431_ : (~((op1 (e13) (e13)) = (op1 (e12) (e11)))) -> ((op1 (op1 (e10) (e11)) (op1 (e10) (e11))) = (e11)) -> ((op1 (e10) (e11)) = (e13)) -> ((op1 (e12) (e11)) = (e11)) -> False).
% 51.29/51.48 do 0 intro. intros zenon_H32f zenon_H83 zenon_H46 zenon_H330.
% 51.29/51.48 cut (((op1 (op1 (e10) (e11)) (op1 (e10) (e11))) = (e11)) = ((op1 (e13) (e13)) = (op1 (e12) (e11)))).
% 51.29/51.48 intro zenon_D_pnotp.
% 51.29/51.48 apply zenon_H32f.
% 51.29/51.48 rewrite <- zenon_D_pnotp.
% 51.29/51.48 exact zenon_H83.
% 51.29/51.48 cut (((e11) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H331].
% 51.29/51.48 cut (((op1 (op1 (e10) (e11)) (op1 (e10) (e11))) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H332].
% 51.29/51.48 congruence.
% 51.29/51.48 elim (classic ((op1 (e13) (e13)) = (op1 (e13) (e13)))); [ zenon_intro zenon_H5b | zenon_intro zenon_H5c ].
% 51.29/51.48 cut (((op1 (e13) (e13)) = (op1 (e13) (e13))) = ((op1 (op1 (e10) (e11)) (op1 (e10) (e11))) = (op1 (e13) (e13)))).
% 51.29/51.48 intro zenon_D_pnotp.
% 51.29/51.48 apply zenon_H332.
% 51.29/51.48 rewrite <- zenon_D_pnotp.
% 51.29/51.48 exact zenon_H5b.
% 51.29/51.48 cut (((op1 (e13) (e13)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H5c].
% 51.29/51.48 cut (((op1 (e13) (e13)) = (op1 (op1 (e10) (e11)) (op1 (e10) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H32d].
% 51.29/51.48 congruence.
% 51.29/51.48 apply (zenon_L430_); trivial.
% 51.29/51.48 apply zenon_H5c. apply refl_equal.
% 51.29/51.48 apply zenon_H5c. apply refl_equal.
% 51.29/51.48 apply zenon_H331. apply sym_equal. exact zenon_H330.
% 51.29/51.48 (* end of lemma zenon_L431_ *)
% 51.29/51.48 assert (zenon_L432_ : ((op1 (e10) (e11)) = (e13)) -> ((op1 (e12) (e11)) = (e11)) -> ((op1 (e11) (e11)) = (e11)) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e13)) -> ((op1 (e13) (e10)) = (e13)) -> ((op1 (e12) (e13)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e12)) = (e12)) -> False).
% 51.29/51.48 do 0 intro. intros zenon_H46 zenon_H330 zenon_H30b zenon_H19 zenon_H2c9 zenon_H54 zenon_H51 zenon_H66 zenon_H62 zenon_H65 zenon_He1 zenon_Hf1.
% 51.29/51.48 apply (zenon_or_s _ _ ax10); [ zenon_intro zenon_H7f | zenon_intro zenon_H7e ].
% 51.29/51.48 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H81. zenon_intro zenon_H80.
% 51.29/51.48 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_H83. zenon_intro zenon_H82.
% 51.29/51.48 cut (((e11) = (op1 (e13) (e13))) = ((op1 (e11) (e11)) = (op1 (e12) (e11)))).
% 51.29/51.48 intro zenon_D_pnotp.
% 51.29/51.48 apply zenon_H2c9.
% 51.29/51.48 rewrite <- zenon_D_pnotp.
% 51.29/51.48 exact zenon_H19.
% 51.29/51.48 cut (((op1 (e13) (e13)) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H32f].
% 51.29/51.48 cut (((e11) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H30c].
% 51.29/51.48 congruence.
% 51.29/51.48 elim (classic ((op1 (e11) (e11)) = (op1 (e11) (e11)))); [ zenon_intro zenon_H7a | zenon_intro zenon_H7b ].
% 51.29/51.48 cut (((op1 (e11) (e11)) = (op1 (e11) (e11))) = ((e11) = (op1 (e11) (e11)))).
% 51.29/51.48 intro zenon_D_pnotp.
% 51.29/51.48 apply zenon_H30c.
% 51.29/51.48 rewrite <- zenon_D_pnotp.
% 51.29/51.48 exact zenon_H7a.
% 51.29/51.48 cut (((op1 (e11) (e11)) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H7b].
% 51.29/51.48 cut (((op1 (e11) (e11)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H333].
% 51.29/51.48 congruence.
% 51.29/51.48 exact (zenon_H333 zenon_H30b).
% 51.29/51.48 apply zenon_H7b. apply refl_equal.
% 51.29/51.48 apply zenon_H7b. apply refl_equal.
% 51.29/51.48 apply (zenon_L431_); trivial.
% 51.29/51.48 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H53 | zenon_intro zenon_H8a ].
% 51.29/51.48 apply (zenon_L18_); trivial.
% 51.29/51.48 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H64 | zenon_intro zenon_H71 ].
% 51.29/51.48 apply (zenon_L20_); trivial.
% 51.29/51.48 apply (zenon_L336_); trivial.
% 51.29/51.48 (* end of lemma zenon_L432_ *)
% 51.29/51.48 assert (zenon_L433_ : ((op1 (e13) (e11)) = (e10)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> ((op1 (e12) (e13)) = (e13)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> ((op1 (e13) (e10)) = (e12)) -> (~((e10) = (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e10) = (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((e11) = (e13))) -> ((e11) = (op1 (e13) (e13))) -> False).
% 51.29/51.48 do 0 intro. intros zenon_Hbe zenon_Hda zenon_H49 zenon_H96 zenon_H9e zenon_H54 zenon_H95 zenon_H2c zenon_H1c zenon_Hab zenon_Hcf zenon_H4b zenon_He8 zenon_H8c zenon_Hc2 zenon_H42 zenon_Hb8 zenon_Hc8 zenon_Hea zenon_H41 zenon_He1 zenon_Hb0 zenon_H3d zenon_H19.
% 51.29/51.48 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H66 | zenon_intro zenon_Hd0 ].
% 51.29/51.48 apply (zenon_L57_); trivial.
% 51.29/51.48 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hd1 ].
% 51.29/51.48 apply (zenon_L40_); trivial.
% 51.29/51.48 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hb3 ].
% 51.29/51.48 apply (zenon_L346_); trivial.
% 51.29/51.48 apply (zenon_L37_); trivial.
% 51.29/51.48 (* end of lemma zenon_L433_ *)
% 51.29/51.48 assert (zenon_L434_ : (~((e11) = (e13))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e13))) -> ((op1 (e13) (e10)) = (e12)) -> (~((e12) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e12) (e13)) = (e13)) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> False).
% 51.29/51.48 do 0 intro. intros zenon_H3d zenon_Hb0 zenon_He1 zenon_H41 zenon_Hea zenon_Hc8 zenon_Hb8 zenon_H42 zenon_He8 zenon_H4b zenon_Hcf zenon_Hab zenon_H2c zenon_H95 zenon_H54 zenon_H9e zenon_H96 zenon_H49 zenon_Hda zenon_Hc2 zenon_H1c zenon_H19 zenon_H8c.
% 51.29/51.48 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hc9 ].
% 51.29/51.48 apply (zenon_L39_); trivial.
% 51.29/51.48 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hca ].
% 51.29/51.48 apply (zenon_L433_); trivial.
% 51.29/51.48 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H8b ].
% 51.29/51.48 apply (zenon_L41_); trivial.
% 51.29/51.48 apply (zenon_L24_); trivial.
% 51.29/51.48 (* end of lemma zenon_L434_ *)
% 51.29/51.48 assert (zenon_L435_ : (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e11))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e13)) = (e13)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> ((op1 (e13) (e10)) = (e12)) -> (~((e10) = (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((e11) = (e13))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> False).
% 51.29/51.48 do 0 intro. intros zenon_Hde zenon_H8c zenon_H19 zenon_Hc2 zenon_H96 zenon_H9e zenon_H54 zenon_H95 zenon_Hcf zenon_H4b zenon_He8 zenon_H42 zenon_Hb8 zenon_Hc8 zenon_Hea zenon_H41 zenon_He1 zenon_Hb0 zenon_H3d zenon_Hab zenon_Hd3 zenon_H2c zenon_H1c zenon_Hda.
% 51.29/51.48 apply (zenon_or_s _ _ zenon_Hde); [ zenon_intro zenon_H49 | zenon_intro zenon_Hdf ].
% 51.29/51.48 apply (zenon_L434_); trivial.
% 51.29/51.48 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_Haa | zenon_intro zenon_He0 ].
% 51.29/51.48 apply (zenon_L34_); trivial.
% 51.29/51.48 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hd2 | zenon_intro zenon_Hd9 ].
% 51.29/51.48 apply (zenon_L45_); trivial.
% 51.29/51.48 apply (zenon_L46_); trivial.
% 51.29/51.48 (* end of lemma zenon_L435_ *)
% 51.29/51.48 assert (zenon_L436_ : (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e11) = (e13))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e13))) -> (~((e12) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> (~((e10) = (e12))) -> ((op1 (e13) (e11)) = (e10)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e10)) = (e13)) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e12) (e13)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> False).
% 51.29/51.48 do 0 intro. intros zenon_H327 zenon_H3d zenon_Hb0 zenon_Hc8 zenon_Hb8 zenon_H42 zenon_H4b zenon_Hcf zenon_H54 zenon_Hc2 zenon_H19 zenon_H8c zenon_H35 zenon_Hbe zenon_Hd3 zenon_Hab zenon_H95 zenon_H41 zenon_H50 zenon_Hea zenon_H9e zenon_H96 zenon_He1 zenon_Hde zenon_H2c zenon_H1c zenon_Hda.
% 51.29/51.48 apply (zenon_or_s _ _ zenon_H327); [ zenon_intro zenon_He8 | zenon_intro zenon_H328 ].
% 51.29/51.48 apply (zenon_L435_); trivial.
% 51.29/51.48 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H2de | zenon_intro zenon_H329 ].
% 51.29/51.48 apply (zenon_L308_); trivial.
% 51.29/51.48 apply (zenon_or_s _ _ zenon_H329); [ zenon_intro zenon_Hf1 | zenon_intro zenon_Hd9 ].
% 51.29/51.48 apply (zenon_or_s _ _ zenon_Hde); [ zenon_intro zenon_H49 | zenon_intro zenon_Hdf ].
% 51.29/51.48 apply (zenon_L337_); trivial.
% 51.29/51.48 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_Haa | zenon_intro zenon_He0 ].
% 51.29/51.48 apply (zenon_L34_); trivial.
% 51.29/51.48 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hd2 | zenon_intro zenon_Hd9 ].
% 51.29/51.48 apply (zenon_L45_); trivial.
% 51.29/51.48 apply (zenon_L46_); trivial.
% 51.29/51.48 apply (zenon_L46_); trivial.
% 51.29/51.48 (* end of lemma zenon_L436_ *)
% 51.29/51.48 assert (zenon_L437_ : (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e13) (e11)) = (e10)) -> (~((e10) = (e12))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((e10) = (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((e11) = (e13))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e12) (e13)) = (e13)) -> False).
% 51.29/51.48 do 0 intro. intros zenon_Hda zenon_Hde zenon_He1 zenon_H9e zenon_Hea zenon_H41 zenon_H95 zenon_Hd3 zenon_Hbe zenon_H35 zenon_H8c zenon_Hc2 zenon_Hcf zenon_H4b zenon_H42 zenon_Hb8 zenon_Hc8 zenon_Hb0 zenon_H3d zenon_H327 zenon_H19 zenon_H54 zenon_Hab zenon_H1c zenon_H2c zenon_Haf zenon_H96.
% 51.29/51.48 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H50 | zenon_intro zenon_Hb1 ].
% 51.29/51.48 apply (zenon_L436_); trivial.
% 51.29/51.48 apply (zenon_or_s _ _ zenon_Hb1); [ zenon_intro zenon_Ha5 | zenon_intro zenon_Hb2 ].
% 51.29/51.48 apply (zenon_L33_); trivial.
% 51.29/51.48 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_Haa | zenon_intro zenon_H51 ].
% 51.29/51.48 apply (zenon_L34_); trivial.
% 51.29/51.48 apply (zenon_L35_); trivial.
% 51.29/51.48 (* end of lemma zenon_L437_ *)
% 51.29/51.48 assert (zenon_L438_ : (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((op1 (e10) (e13)) = (e12)) -> ((op1 (e13) (e12)) = (e12)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e12) (e13)) = (e10)) -> ((op1 (e13) (e10)) = (e13)) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e11) (e11)) = (e11)) -> ((op1 (e12) (e11)) = (e11)) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((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 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e13))) -> (~((e12) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (~((e10) = (e12))) -> ((op1 (e13) (e11)) = (e10)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((e11) = (e13))) -> ((e11) = (op1 (e13) (e13))) -> False).
% 51.29/51.48 do 0 intro. intros zenon_Hb5 zenon_H49 zenon_Hf1 zenon_H65 zenon_H62 zenon_H66 zenon_H2c9 zenon_H30b zenon_H330 zenon_H46 zenon_Haf zenon_H2c zenon_H1c zenon_Hab zenon_H54 zenon_H327 zenon_Hb0 zenon_Hc8 zenon_Hb8 zenon_H42 zenon_H4b zenon_Hcf zenon_Hc2 zenon_H8c zenon_H35 zenon_Hbe zenon_Hd3 zenon_H95 zenon_H41 zenon_Hea zenon_H9e zenon_He1 zenon_Hde zenon_Hda zenon_H3d zenon_H19.
% 51.29/51.48 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H4a | zenon_intro zenon_Hb6 ].
% 51.29/51.48 apply (zenon_L15_); trivial.
% 51.29/51.48 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H51 | zenon_intro zenon_Hb7 ].
% 51.29/51.48 apply (zenon_L432_); trivial.
% 51.29/51.48 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb3 ].
% 51.29/51.48 apply (zenon_L437_); trivial.
% 51.29/51.48 apply (zenon_L37_); trivial.
% 51.29/51.48 (* end of lemma zenon_L438_ *)
% 51.29/51.48 assert (zenon_L439_ : (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e11) = (e13))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e13) (e11)) = (e10)) -> (~((e10) = (e12))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((e10) = (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e10) (e11)) = (e13)) -> ((op1 (e12) (e11)) = (e11)) -> ((op1 (e11) (e11)) = (e11)) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e13) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e13) (e12)) = (e12)) -> ((op1 (e10) (e13)) = (e12)) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> False).
% 51.29/51.48 do 0 intro. intros zenon_H90 zenon_H3d zenon_Hda zenon_Hde zenon_He1 zenon_H9e zenon_Hea zenon_H41 zenon_H95 zenon_Hd3 zenon_Hbe zenon_H35 zenon_Hc2 zenon_Hcf zenon_H4b zenon_H42 zenon_Hb8 zenon_Hc8 zenon_Hb0 zenon_H327 zenon_H54 zenon_Hab zenon_H1c zenon_H2c zenon_Haf zenon_H46 zenon_H330 zenon_H30b zenon_H2c9 zenon_H66 zenon_H65 zenon_Hf1 zenon_H49 zenon_Hb5 zenon_H19 zenon_H8c.
% 51.29/51.48 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H4e | zenon_intro zenon_H91 ].
% 51.29/51.48 apply (zenon_L47_); trivial.
% 51.29/51.48 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H50 | zenon_intro zenon_H92 ].
% 51.29/51.48 apply (zenon_L338_); trivial.
% 51.29/51.48 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H62 | zenon_intro zenon_H8b ].
% 51.29/51.48 apply (zenon_L438_); trivial.
% 51.29/51.48 apply (zenon_L24_); trivial.
% 51.29/51.48 (* end of lemma zenon_L439_ *)
% 51.29/51.48 assert (zenon_L440_ : ((op1 (e13) (e12)) = (e12)) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e12) (e11)) = (e11)) -> ((op1 (e10) (e11)) = (e13)) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e13) (e11)) = (e10)) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e11)) = (e11)) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((e12) = (e13))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((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))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> ((op1 (e10) (e10)) = (e11)) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e12))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e11))) -> (~((e11) = (e13))) -> ((e11) = (op1 (e13) (e13))) -> False).
% 51.29/51.48 do 0 intro. intros zenon_Hf1 zenon_H2c9 zenon_H330 zenon_H46 zenon_H327 zenon_Hbe zenon_Hb0 zenon_Hda zenon_H49 zenon_H9e zenon_Hea zenon_H41 zenon_He1 zenon_H54 zenon_Hab zenon_H1c zenon_H2c zenon_Haf zenon_H30b zenon_H31b zenon_H113 zenon_H4b zenon_Hf8 zenon_Hb5 zenon_H45 zenon_Hcb zenon_Hf0 zenon_Hec zenon_Hf3 zenon_Hc8 zenon_Hb8 zenon_H7d zenon_Hcf zenon_Hc2 zenon_H2e0 zenon_Hf6 zenon_H3b zenon_Hfb zenon_H314 zenon_H30d zenon_H2d4 zenon_H1b zenon_H2ba zenon_H2ff zenon_H311 zenon_H123 zenon_H10e zenon_H95 zenon_H305 zenon_H318 zenon_H90 zenon_H35 zenon_H42 zenon_Hd3 zenon_H65 zenon_Hde zenon_H8c zenon_H3d zenon_H19.
% 51.29/51.48 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H66 | zenon_intro zenon_Hd0 ].
% 51.29/51.48 apply (zenon_L439_); trivial.
% 51.29/51.48 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hd1 ].
% 51.29/51.48 apply (zenon_L40_); trivial.
% 51.29/51.48 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hb3 ].
% 51.29/51.48 apply (zenon_L367_); trivial.
% 51.29/51.48 apply (zenon_L37_); trivial.
% 51.29/51.48 (* end of lemma zenon_L440_ *)
% 51.29/51.48 assert (zenon_L441_ : (~((op1 (e13) (e13)) = (op1 (e10) (e12)))) -> ((op1 (op1 (e10) (e11)) (op1 (e10) (e11))) = (e11)) -> ((op1 (e10) (e11)) = (e13)) -> ((op1 (e10) (e12)) = (e11)) -> False).
% 51.29/51.48 do 0 intro. intros zenon_H334 zenon_H83 zenon_H46 zenon_H11a.
% 51.29/51.48 cut (((op1 (op1 (e10) (e11)) (op1 (e10) (e11))) = (e11)) = ((op1 (e13) (e13)) = (op1 (e10) (e12)))).
% 51.29/51.48 intro zenon_D_pnotp.
% 51.29/51.48 apply zenon_H334.
% 51.29/51.48 rewrite <- zenon_D_pnotp.
% 51.29/51.48 exact zenon_H83.
% 51.29/51.48 cut (((e11) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H2cd].
% 51.29/51.48 cut (((op1 (op1 (e10) (e11)) (op1 (e10) (e11))) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H332].
% 51.29/51.48 congruence.
% 51.29/51.48 elim (classic ((op1 (e13) (e13)) = (op1 (e13) (e13)))); [ zenon_intro zenon_H5b | zenon_intro zenon_H5c ].
% 51.29/51.48 cut (((op1 (e13) (e13)) = (op1 (e13) (e13))) = ((op1 (op1 (e10) (e11)) (op1 (e10) (e11))) = (op1 (e13) (e13)))).
% 51.29/51.48 intro zenon_D_pnotp.
% 51.29/51.48 apply zenon_H332.
% 51.29/51.48 rewrite <- zenon_D_pnotp.
% 51.29/51.48 exact zenon_H5b.
% 51.29/51.48 cut (((op1 (e13) (e13)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H5c].
% 51.29/51.48 cut (((op1 (e13) (e13)) = (op1 (op1 (e10) (e11)) (op1 (e10) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H32d].
% 51.29/51.48 congruence.
% 51.29/51.48 apply (zenon_L430_); trivial.
% 51.29/51.48 apply zenon_H5c. apply refl_equal.
% 51.29/51.48 apply zenon_H5c. apply refl_equal.
% 51.29/51.48 apply zenon_H2cd. apply sym_equal. exact zenon_H11a.
% 51.29/51.48 (* end of lemma zenon_L441_ *)
% 51.29/51.48 assert (zenon_L442_ : (((op1 (op1 (e10) (e10)) (op1 (e10) (e10))) = (e10))/\(((op1 (op1 (e10) (e11)) (op1 (e10) (e11))) = (e11))/\(((op1 (op1 (e10) (e12)) (op1 (e10) (e12))) = (e12))/\((op1 (op1 (e10) (e13)) (op1 (e10) (e13))) = (e13))))) -> ((e11) = (op1 (e13) (e13))) -> ((op1 (e12) (e12)) = (e11)) -> ((op1 (e10) (e12)) = (e11)) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> False).
% 51.29/51.48 do 0 intro. intros zenon_H7f zenon_H19 zenon_H335 zenon_H11a zenon_H46 zenon_H2ce.
% 51.29/51.48 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H81. zenon_intro zenon_H80.
% 51.29/51.48 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_H83. zenon_intro zenon_H82.
% 51.29/51.48 elim (classic ((op1 (e12) (e12)) = (op1 (e12) (e12)))); [ zenon_intro zenon_H99 | zenon_intro zenon_H9a ].
% 51.29/51.48 cut (((op1 (e12) (e12)) = (op1 (e12) (e12))) = ((op1 (e10) (e12)) = (op1 (e12) (e12)))).
% 51.29/51.48 intro zenon_D_pnotp.
% 51.29/51.48 apply zenon_H2ce.
% 51.29/51.48 rewrite <- zenon_D_pnotp.
% 51.29/51.48 exact zenon_H99.
% 51.29/51.48 cut (((op1 (e12) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H9a].
% 51.29/51.48 cut (((op1 (e12) (e12)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H2cf].
% 51.29/51.48 congruence.
% 51.29/51.48 cut (((e11) = (op1 (e13) (e13))) = ((op1 (e12) (e12)) = (op1 (e10) (e12)))).
% 51.29/51.48 intro zenon_D_pnotp.
% 51.29/51.48 apply zenon_H2cf.
% 51.29/51.48 rewrite <- zenon_D_pnotp.
% 51.29/51.48 exact zenon_H19.
% 51.29/51.48 cut (((op1 (e13) (e13)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H334].
% 51.29/51.48 cut (((e11) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H336].
% 51.29/51.48 congruence.
% 51.29/51.48 elim (classic ((op1 (e12) (e12)) = (op1 (e12) (e12)))); [ zenon_intro zenon_H99 | zenon_intro zenon_H9a ].
% 51.29/51.48 cut (((op1 (e12) (e12)) = (op1 (e12) (e12))) = ((e11) = (op1 (e12) (e12)))).
% 51.29/51.48 intro zenon_D_pnotp.
% 51.29/51.48 apply zenon_H336.
% 51.29/51.48 rewrite <- zenon_D_pnotp.
% 51.29/51.48 exact zenon_H99.
% 51.29/51.48 cut (((op1 (e12) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H9a].
% 51.29/51.48 cut (((op1 (e12) (e12)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H337].
% 51.29/51.48 congruence.
% 51.29/51.48 exact (zenon_H337 zenon_H335).
% 51.29/51.48 apply zenon_H9a. apply refl_equal.
% 51.29/51.48 apply zenon_H9a. apply refl_equal.
% 51.29/51.48 apply (zenon_L441_); trivial.
% 51.29/51.48 apply zenon_H9a. apply refl_equal.
% 51.29/51.48 apply zenon_H9a. apply refl_equal.
% 51.29/51.48 (* end of lemma zenon_L442_ *)
% 51.29/51.48 assert (zenon_L443_ : (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e10) (e11)) = (e13)) -> ((op1 (e10) (e12)) = (e11)) -> ((op1 (e12) (e12)) = (e11)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e10)) = (e13)) -> ((op1 (e12) (e13)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> ((op1 (e11) (e13)) = (e13)) -> False).
% 51.29/51.48 do 0 intro. intros zenon_H2ce zenon_H46 zenon_H11a zenon_H335 zenon_H54 zenon_H66 zenon_H62 zenon_H65 zenon_H72 zenon_H19 zenon_H51.
% 51.29/51.48 apply (zenon_or_s _ _ ax10); [ zenon_intro zenon_H7f | zenon_intro zenon_H7e ].
% 51.29/51.48 apply (zenon_L442_); trivial.
% 51.29/51.48 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H53 | zenon_intro zenon_H8a ].
% 51.29/51.48 apply (zenon_L18_); trivial.
% 51.29/51.48 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H64 | zenon_intro zenon_H71 ].
% 51.29/51.48 apply (zenon_L20_); trivial.
% 51.29/51.48 apply (zenon_L22_); trivial.
% 51.29/51.48 (* end of lemma zenon_L443_ *)
% 51.29/51.48 assert (zenon_L444_ : (~((op1 (op1 (e13) (op1 (e13) (e13))) (e13)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e13)) = (e12)) -> ((op1 (e12) (e10)) = (e12)) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((op1 (e11) (e11)) = (e12)) -> ((op1 (e13) (e12)) = (e12)) -> False).
% 51.29/51.48 do 0 intro. intros zenon_H338 zenon_H49 zenon_H7c zenon_H1c zenon_H2c6 zenon_Hf1.
% 51.29/51.48 cut (((op1 (e11) (e11)) = (e12)) = ((op1 (op1 (e13) (op1 (e13) (e13))) (e13)) = (op1 (e13) (e12)))).
% 51.29/51.48 intro zenon_D_pnotp.
% 51.29/51.48 apply zenon_H338.
% 51.29/51.48 rewrite <- zenon_D_pnotp.
% 51.29/51.48 exact zenon_H2c6.
% 51.29/51.48 cut (((e12) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_Hf2].
% 51.29/51.48 cut (((op1 (e11) (e11)) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H339].
% 51.29/51.48 congruence.
% 51.29/51.48 elim (classic ((op1 (op1 (e13) (op1 (e13) (e13))) (e13)) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13)))); [ zenon_intro zenon_H2f8 | zenon_intro zenon_H2f9 ].
% 51.29/51.48 cut (((op1 (op1 (e13) (op1 (e13) (e13))) (e13)) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) = ((op1 (e11) (e11)) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13)))).
% 51.29/51.48 intro zenon_D_pnotp.
% 51.29/51.48 apply zenon_H339.
% 51.29/51.48 rewrite <- zenon_D_pnotp.
% 51.29/51.48 exact zenon_H2f8.
% 51.29/51.48 cut (((op1 (op1 (e13) (op1 (e13) (e13))) (e13)) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2f9].
% 51.29/51.48 cut (((op1 (op1 (e13) (op1 (e13) (e13))) (e13)) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H2fa].
% 51.29/51.48 congruence.
% 51.29/51.48 apply (zenon_L330_); trivial.
% 51.29/51.48 apply zenon_H2f9. apply refl_equal.
% 51.29/51.48 apply zenon_H2f9. apply refl_equal.
% 51.29/51.48 apply zenon_Hf2. apply sym_equal. exact zenon_Hf1.
% 51.29/51.48 (* end of lemma zenon_L444_ *)
% 51.29/51.48 assert (zenon_L445_ : (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((op1 (e10) (e12)) = (e12)) -> ((op1 (e13) (e12)) = (e12)) -> ((op1 (e10) (e13)) = (e12)) -> ((op1 (e12) (e10)) = (e12)) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((op1 (e11) (e11)) = (e12)) -> False).
% 51.29/51.48 do 0 intro. intros zenon_H33a zenon_H2c zenon_H2bf zenon_Hf1 zenon_H49 zenon_H7c zenon_H1c zenon_H2c6.
% 51.29/51.48 cut (((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) = ((op1 (e10) (e12)) = (op1 (e13) (e12)))).
% 51.29/51.48 intro zenon_D_pnotp.
% 51.29/51.48 apply zenon_H33a.
% 51.29/51.48 rewrite <- zenon_D_pnotp.
% 51.29/51.48 exact zenon_H2c.
% 51.29/51.48 cut (((op1 (op1 (e13) (op1 (e13) (e13))) (e13)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H338].
% 51.29/51.48 cut (((e12) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H2c0].
% 51.29/51.48 congruence.
% 51.29/51.48 elim (classic ((op1 (e10) (e12)) = (op1 (e10) (e12)))); [ zenon_intro zenon_H25 | zenon_intro zenon_H26 ].
% 51.29/51.48 cut (((op1 (e10) (e12)) = (op1 (e10) (e12))) = ((e12) = (op1 (e10) (e12)))).
% 51.29/51.48 intro zenon_D_pnotp.
% 51.29/51.48 apply zenon_H2c0.
% 51.29/51.48 rewrite <- zenon_D_pnotp.
% 51.29/51.48 exact zenon_H25.
% 51.29/51.48 cut (((op1 (e10) (e12)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H26].
% 51.29/51.48 cut (((op1 (e10) (e12)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H2c1].
% 51.29/51.48 congruence.
% 51.29/51.48 exact (zenon_H2c1 zenon_H2bf).
% 51.29/51.48 apply zenon_H26. apply refl_equal.
% 51.29/51.48 apply zenon_H26. apply refl_equal.
% 51.29/51.48 apply (zenon_L444_); trivial.
% 51.29/51.48 (* end of lemma zenon_L445_ *)
% 51.29/51.48 assert (zenon_L446_ : (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((e10) = (e11))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e10) = (e13))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op1 (e12) (e12)) = (e11)) -> ((op1 (e10) (e11)) = (e13)) -> ((op1 (e11) (e11)) = (e12)) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((op1 (e12) (e10)) = (e12)) -> ((op1 (e13) (e12)) = (e12)) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e10)) = (e13)) -> ((op1 (e12) (e13)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> ((op1 (e11) (e13)) = (e13)) -> False).
% 51.29/51.48 do 0 intro. intros zenon_H2d1 zenon_H8c zenon_H7d zenon_H42 zenon_H35 zenon_H90 zenon_H335 zenon_H46 zenon_H2c6 zenon_H1c zenon_H7c zenon_Hf1 zenon_H2c zenon_H33a zenon_H2ce zenon_H49 zenon_H54 zenon_H66 zenon_H62 zenon_H65 zenon_H72 zenon_H19 zenon_H51.
% 51.29/51.48 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H22 | zenon_intro zenon_H2d2 ].
% 51.29/51.48 apply (zenon_L25_); trivial.
% 51.29/51.48 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H11a | zenon_intro zenon_H2d3 ].
% 51.29/51.48 apply (zenon_L443_); trivial.
% 51.29/51.48 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H2bf | zenon_intro zenon_He6 ].
% 51.29/51.48 apply (zenon_L445_); trivial.
% 51.29/51.48 apply (zenon_L291_); trivial.
% 51.29/51.48 (* end of lemma zenon_L446_ *)
% 51.29/51.48 assert (zenon_L447_ : (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e12) (e13)) = (e10)) -> ((op1 (e13) (e10)) = (e13)) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e10)) = (e12)) -> ((op1 (e11) (e11)) = (e12)) -> ((op1 (e10) (e11)) = (e13)) -> ((op1 (e12) (e12)) = (e11)) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((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 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e13))) -> (~((e12) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (~((e10) = (e12))) -> ((op1 (e13) (e11)) = (e10)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((e11) = (e13))) -> ((e11) = (op1 (e13) (e13))) -> False).
% 51.29/51.48 do 0 intro. intros zenon_H31e zenon_H2be zenon_Ha2 zenon_H305 zenon_Hb5 zenon_H72 zenon_H65 zenon_H62 zenon_H66 zenon_H49 zenon_H2ce zenon_H33a zenon_H7c zenon_H2c6 zenon_H46 zenon_H335 zenon_H90 zenon_H7d zenon_H2d1 zenon_Haf zenon_H2c zenon_H1c zenon_Hab zenon_H54 zenon_H327 zenon_Hb0 zenon_Hc8 zenon_Hb8 zenon_H42 zenon_H4b zenon_Hcf zenon_Hc2 zenon_H8c zenon_H35 zenon_Hbe zenon_Hd3 zenon_H95 zenon_H41 zenon_Hea zenon_H9e zenon_He1 zenon_Hde zenon_Hda zenon_H3d zenon_H19.
% 51.29/51.48 apply (zenon_or_s _ _ zenon_H31e); [ zenon_intro zenon_H2bf | zenon_intro zenon_H31f ].
% 51.29/51.48 apply (zenon_L282_); trivial.
% 51.29/51.48 apply (zenon_or_s _ _ zenon_H31f); [ zenon_intro zenon_H12b | zenon_intro zenon_H320 ].
% 51.29/51.48 apply (zenon_L331_); trivial.
% 51.29/51.48 apply (zenon_or_s _ _ zenon_H320); [ zenon_intro zenon_H304 | zenon_intro zenon_Hf1 ].
% 51.29/51.48 apply (zenon_L334_); trivial.
% 51.29/51.48 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H4a | zenon_intro zenon_Hb6 ].
% 51.29/51.48 apply (zenon_L335_); trivial.
% 51.29/51.48 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H51 | zenon_intro zenon_Hb7 ].
% 51.29/51.48 apply (zenon_L446_); trivial.
% 51.29/51.48 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb3 ].
% 51.29/51.48 apply (zenon_L437_); trivial.
% 51.29/51.48 apply (zenon_L37_); trivial.
% 51.29/51.48 (* end of lemma zenon_L447_ *)
% 51.29/51.48 assert (zenon_L448_ : ((op1 (e13) (e12)) = (e12)) -> (~((e11) = (e13))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e13) (e11)) = (e10)) -> (~((e10) = (e12))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((e10) = (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op1 (e12) (e12)) = (e11)) -> ((op1 (e10) (e11)) = (e13)) -> ((op1 (e11) (e11)) = (e12)) -> ((op1 (e12) (e10)) = (e12)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e10) (e13)) = (e12)) -> ((op1 (e13) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> False).
% 51.29/51.48 do 0 intro. intros zenon_Hf1 zenon_H3d zenon_Hda zenon_Hde zenon_He1 zenon_H9e zenon_Hea zenon_H41 zenon_H95 zenon_Hd3 zenon_Hbe zenon_H35 zenon_Hc2 zenon_Hcf zenon_H4b zenon_H42 zenon_Hb8 zenon_Hc8 zenon_Hb0 zenon_H327 zenon_H54 zenon_Hab zenon_H1c zenon_H2c zenon_Haf zenon_H2d1 zenon_H7d zenon_H90 zenon_H335 zenon_H46 zenon_H2c6 zenon_H7c zenon_H33a zenon_H2ce zenon_H49 zenon_H66 zenon_H65 zenon_H72 zenon_Hb5 zenon_H305 zenon_Ha2 zenon_H2be zenon_H31e zenon_H19 zenon_H8c.
% 51.29/51.48 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H4e | zenon_intro zenon_H91 ].
% 51.29/51.48 apply (zenon_L47_); trivial.
% 51.29/51.48 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H50 | zenon_intro zenon_H92 ].
% 51.29/51.48 apply (zenon_L338_); trivial.
% 51.29/51.48 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H62 | zenon_intro zenon_H8b ].
% 51.29/51.48 apply (zenon_L447_); trivial.
% 51.29/51.48 apply (zenon_L24_); trivial.
% 51.29/51.48 (* end of lemma zenon_L448_ *)
% 51.29/51.48 assert (zenon_L449_ : (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e13) (e10)) = (e13)) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e10)) = (e12)) -> ((op1 (e11) (e11)) = (e12)) -> ((op1 (e10) (e11)) = (e13)) -> ((op1 (e12) (e12)) = (e11)) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((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 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e13))) -> (~((e12) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((e11) = (e13))) -> ((op1 (e13) (e12)) = (e12)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> False).
% 51.29/51.48 do 0 intro. intros zenon_H31e zenon_H2be zenon_Ha2 zenon_H305 zenon_Hb5 zenon_H72 zenon_H65 zenon_H66 zenon_H49 zenon_H2ce zenon_H33a zenon_H7c zenon_H2c6 zenon_H46 zenon_H335 zenon_H90 zenon_H7d zenon_H2d1 zenon_Haf zenon_H2c zenon_Hab zenon_H54 zenon_H327 zenon_Hb0 zenon_Hc8 zenon_Hb8 zenon_H42 zenon_H4b zenon_Hcf zenon_H35 zenon_Hd3 zenon_H95 zenon_H41 zenon_Hea zenon_H9e zenon_He1 zenon_Hde zenon_Hda zenon_H3d zenon_Hf1 zenon_Hc2 zenon_H1c zenon_H19 zenon_H8c.
% 51.29/51.48 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hc9 ].
% 51.29/51.48 apply (zenon_L39_); trivial.
% 51.29/51.48 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hca ].
% 51.29/51.48 apply (zenon_L448_); trivial.
% 51.29/51.48 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H8b ].
% 51.29/51.48 apply (zenon_L41_); trivial.
% 51.29/51.48 apply (zenon_L24_); trivial.
% 51.29/51.48 (* end of lemma zenon_L449_ *)
% 51.29/51.48 assert (zenon_L450_ : (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((op1 (e12) (e12)) = (e11)) -> ((op1 (e10) (e11)) = (e13)) -> ((op1 (e11) (e11)) = (e12)) -> ((op1 (e12) (e10)) = (e12)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> ((op1 (e13) (e11)) = (e10)) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e11)) = (e11)) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((e12) = (e13))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((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))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> ((op1 (e10) (e10)) = (e11)) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e12))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e11))) -> (~((e11) = (e13))) -> ((e11) = (op1 (e13) (e13))) -> False).
% 51.29/51.48 do 0 intro. intros zenon_H327 zenon_H2d1 zenon_H335 zenon_H46 zenon_H2c6 zenon_H7c zenon_H33a zenon_H2ce zenon_H72 zenon_Ha2 zenon_H2be zenon_H31e zenon_Hbe zenon_Hb0 zenon_Hda zenon_H49 zenon_H9e zenon_Hea zenon_H41 zenon_He1 zenon_H54 zenon_Hab zenon_H1c zenon_H2c zenon_Haf zenon_H30b zenon_H31b zenon_H113 zenon_H4b zenon_Hf8 zenon_Hb5 zenon_H45 zenon_Hcb zenon_Hf0 zenon_Hec zenon_Hf3 zenon_Hc8 zenon_Hb8 zenon_H7d zenon_Hcf zenon_Hc2 zenon_H2e0 zenon_Hf6 zenon_H3b zenon_Hfb zenon_H314 zenon_H30d zenon_H2d4 zenon_H1b zenon_H2ba zenon_H2ff zenon_H311 zenon_H123 zenon_H10e zenon_H95 zenon_H305 zenon_H318 zenon_H90 zenon_H35 zenon_H42 zenon_Hd3 zenon_H65 zenon_Hde zenon_H8c zenon_H3d zenon_H19.
% 51.29/51.48 apply (zenon_or_s _ _ zenon_H31e); [ zenon_intro zenon_H2bf | zenon_intro zenon_H31f ].
% 51.29/51.48 apply (zenon_L282_); trivial.
% 51.29/51.48 apply (zenon_or_s _ _ zenon_H31f); [ zenon_intro zenon_H12b | zenon_intro zenon_H320 ].
% 51.29/51.48 apply (zenon_L331_); trivial.
% 51.29/51.48 apply (zenon_or_s _ _ zenon_H320); [ zenon_intro zenon_H304 | zenon_intro zenon_Hf1 ].
% 51.29/51.48 apply (zenon_L334_); trivial.
% 51.29/51.48 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H66 | zenon_intro zenon_Hd0 ].
% 51.29/51.48 apply (zenon_L449_); trivial.
% 51.29/51.48 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hd1 ].
% 51.29/51.48 apply (zenon_L40_); trivial.
% 51.29/51.48 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hb3 ].
% 51.29/51.48 apply (zenon_L367_); trivial.
% 51.29/51.48 apply (zenon_L37_); trivial.
% 51.29/51.48 (* end of lemma zenon_L450_ *)
% 51.29/51.48 assert (zenon_L451_ : (~((e11) = (e13))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((e10) = (e13))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((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)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> ((op1 (e10) (e10)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (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 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> ((op1 (e11) (e11)) = (e11)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e10)) = (e12)) -> ((op1 (e11) (e11)) = (e12)) -> ((op1 (e10) (e11)) = (e13)) -> ((op1 (e12) (e12)) = (e11)) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> False).
% 51.29/51.48 do 0 intro. intros zenon_H3d zenon_Hde zenon_H65 zenon_Hd3 zenon_H42 zenon_H35 zenon_H90 zenon_H318 zenon_H305 zenon_H95 zenon_H10e zenon_H123 zenon_H311 zenon_H2ff zenon_H2ba zenon_H1b zenon_H2d4 zenon_H30d zenon_H314 zenon_Hfb zenon_H3b zenon_Hf6 zenon_H2e0 zenon_Hcf zenon_H7d zenon_Hb8 zenon_Hc8 zenon_Hf3 zenon_Hec zenon_Hf0 zenon_Hcb zenon_H45 zenon_Hb5 zenon_Hf8 zenon_H4b zenon_H113 zenon_H31b zenon_H30b zenon_Haf zenon_H2c zenon_Hab zenon_H54 zenon_He1 zenon_H41 zenon_Hea zenon_H9e zenon_H49 zenon_Hda zenon_Hb0 zenon_H31e zenon_H2be zenon_Ha2 zenon_H72 zenon_H2ce zenon_H33a zenon_H7c zenon_H2c6 zenon_H46 zenon_H335 zenon_H2d1 zenon_H327 zenon_Hc2 zenon_H1c zenon_H19 zenon_H8c.
% 51.29/51.48 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hc9 ].
% 51.29/51.48 apply (zenon_L39_); trivial.
% 51.29/51.48 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hca ].
% 51.29/51.48 apply (zenon_L450_); trivial.
% 51.29/51.48 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H8b ].
% 51.29/51.48 apply (zenon_L41_); trivial.
% 51.29/51.48 apply (zenon_L24_); trivial.
% 51.29/51.48 (* end of lemma zenon_L451_ *)
% 51.29/51.48 assert (zenon_L452_ : (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> ((op1 (e12) (e13)) = (e11)) -> False).
% 51.29/51.48 do 0 intro. intros zenon_H9e zenon_H19 zenon_H33b.
% 51.29/51.48 cut (((e11) = (op1 (e13) (e13))) = ((op1 (e12) (e13)) = (op1 (e13) (e13)))).
% 51.29/51.48 intro zenon_D_pnotp.
% 51.29/51.48 apply zenon_H9e.
% 51.29/51.48 rewrite <- zenon_D_pnotp.
% 51.29/51.48 exact zenon_H19.
% 51.29/51.48 cut (((op1 (e13) (e13)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H5c].
% 51.29/51.48 cut (((e11) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H33c].
% 51.29/51.48 congruence.
% 51.29/51.48 elim (classic ((op1 (e12) (e13)) = (op1 (e12) (e13)))); [ zenon_intro zenon_Hd4 | zenon_intro zenon_Hd5 ].
% 51.29/51.48 cut (((op1 (e12) (e13)) = (op1 (e12) (e13))) = ((e11) = (op1 (e12) (e13)))).
% 51.29/51.48 intro zenon_D_pnotp.
% 51.29/51.48 apply zenon_H33c.
% 51.29/51.48 rewrite <- zenon_D_pnotp.
% 51.29/51.48 exact zenon_Hd4.
% 51.29/51.48 cut (((op1 (e12) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Hd5].
% 51.29/51.48 cut (((op1 (e12) (e13)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H33d].
% 51.29/51.48 congruence.
% 51.29/51.48 exact (zenon_H33d zenon_H33b).
% 51.29/51.48 apply zenon_Hd5. apply refl_equal.
% 51.29/51.48 apply zenon_Hd5. apply refl_equal.
% 51.29/51.48 apply zenon_H5c. apply refl_equal.
% 51.29/51.48 (* end of lemma zenon_L452_ *)
% 51.29/51.48 assert (zenon_L453_ : (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((e10) = (e11))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((op1 (e10) (e11)) = (e13)) -> ((op1 (e11) (e11)) = (e12)) -> ((op1 (e12) (e10)) = (e12)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e11)) = (e11)) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((e12) = (e13))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((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))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> ((op1 (e10) (e10)) = (e11)) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e12))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> False).
% 51.29/51.48 do 0 intro. intros zenon_H33e zenon_H10b zenon_H2c9 zenon_H2e1 zenon_H8c zenon_H1c zenon_Hc2 zenon_H327 zenon_H2d1 zenon_H46 zenon_H2c6 zenon_H7c zenon_H33a zenon_H2ce zenon_H72 zenon_Ha2 zenon_H2be zenon_H31e zenon_Hb0 zenon_Hda zenon_H49 zenon_Hea zenon_H41 zenon_He1 zenon_H54 zenon_Hab zenon_H2c zenon_Haf zenon_H30b zenon_H31b zenon_H113 zenon_H4b zenon_Hf8 zenon_Hb5 zenon_H45 zenon_Hcb zenon_Hf0 zenon_Hec zenon_Hf3 zenon_Hc8 zenon_Hb8 zenon_H7d zenon_Hcf zenon_H2e0 zenon_Hf6 zenon_H3b zenon_Hfb zenon_H314 zenon_H30d zenon_H2d4 zenon_H1b zenon_H2ba zenon_H2ff zenon_H311 zenon_H123 zenon_H10e zenon_H95 zenon_H305 zenon_H318 zenon_H90 zenon_H35 zenon_H42 zenon_Hd3 zenon_H65 zenon_Hde zenon_H3d zenon_H9e zenon_H19.
% 51.29/51.48 apply (zenon_or_s _ _ zenon_H33e); [ zenon_intro zenon_H10a | zenon_intro zenon_H33f ].
% 51.29/51.48 apply (zenon_L75_); trivial.
% 51.29/51.48 apply (zenon_or_s _ _ zenon_H33f); [ zenon_intro zenon_H330 | zenon_intro zenon_H340 ].
% 51.29/51.48 apply (zenon_or_s _ _ zenon_H31e); [ zenon_intro zenon_H2bf | zenon_intro zenon_H31f ].
% 51.29/51.48 apply (zenon_L282_); trivial.
% 51.29/51.48 apply (zenon_or_s _ _ zenon_H31f); [ zenon_intro zenon_H12b | zenon_intro zenon_H320 ].
% 51.29/51.48 apply (zenon_L333_); trivial.
% 51.29/51.48 apply (zenon_or_s _ _ zenon_H320); [ zenon_intro zenon_H304 | zenon_intro zenon_Hf1 ].
% 51.29/51.48 apply (zenon_L334_); trivial.
% 51.29/51.48 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hc9 ].
% 51.29/51.48 apply (zenon_L39_); trivial.
% 51.29/51.48 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hca ].
% 51.29/51.48 apply (zenon_L440_); trivial.
% 51.29/51.48 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H8b ].
% 51.29/51.48 apply (zenon_L41_); trivial.
% 51.29/51.48 apply (zenon_L24_); trivial.
% 51.29/51.48 apply (zenon_or_s _ _ zenon_H340); [ zenon_intro zenon_H335 | zenon_intro zenon_H33b ].
% 51.29/51.48 apply (zenon_L451_); trivial.
% 51.29/51.48 apply (zenon_L452_); trivial.
% 51.29/51.48 (* end of lemma zenon_L453_ *)
% 51.29/51.48 assert (zenon_L454_ : ((op1 (e11) (e12)) = (e10)) -> ((op1 (e11) (e12)) = (e12)) -> (~((e10) = (e12))) -> False).
% 51.29/51.48 do 0 intro. intros zenon_H126 zenon_H12b zenon_H35.
% 51.29/51.48 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H36 | zenon_intro zenon_H37 ].
% 51.29/51.48 cut (((e12) = (e12)) = ((e10) = (e12))).
% 51.29/51.48 intro zenon_D_pnotp.
% 51.29/51.48 apply zenon_H35.
% 51.29/51.48 rewrite <- zenon_D_pnotp.
% 51.29/51.48 exact zenon_H36.
% 51.29/51.48 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H37].
% 51.29/51.48 cut (((e12) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H38].
% 51.29/51.48 congruence.
% 51.29/51.48 cut (((op1 (e11) (e12)) = (e10)) = ((e12) = (e10))).
% 51.29/51.48 intro zenon_D_pnotp.
% 51.29/51.48 apply zenon_H38.
% 51.29/51.48 rewrite <- zenon_D_pnotp.
% 51.29/51.48 exact zenon_H126.
% 51.29/51.48 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H32].
% 51.29/51.48 cut (((op1 (e11) (e12)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H2fe].
% 51.29/51.48 congruence.
% 51.29/51.48 exact (zenon_H2fe zenon_H12b).
% 51.29/51.48 apply zenon_H32. apply refl_equal.
% 51.29/51.48 apply zenon_H37. apply refl_equal.
% 51.29/51.48 apply zenon_H37. apply refl_equal.
% 51.29/51.48 (* end of lemma zenon_L454_ *)
% 51.29/51.48 assert (zenon_L455_ : (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((e11) = (e13))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((e10) = (e13))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((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)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> ((op1 (e10) (e10)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (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 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> ((op1 (e11) (e11)) = (e11)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e10)) = (e12)) -> ((op1 (e10) (e11)) = (e13)) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((e11) = (e12))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((e10) = (e12))) -> ((op1 (e11) (e12)) = (e10)) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> False).
% 51.29/51.48 do 0 intro. intros zenon_H341 zenon_H23 zenon_H2db zenon_H105 zenon_H125 zenon_H24 zenon_H2c5 zenon_Hff zenon_H19 zenon_H9e zenon_H3d zenon_Hde zenon_H65 zenon_Hd3 zenon_H42 zenon_H90 zenon_H318 zenon_H305 zenon_H95 zenon_H10e zenon_H123 zenon_H311 zenon_H2ff zenon_H2ba zenon_H1b zenon_H2d4 zenon_H30d zenon_H314 zenon_Hfb zenon_H3b zenon_Hf6 zenon_H2e0 zenon_Hcf zenon_H7d zenon_Hb8 zenon_Hc8 zenon_Hf3 zenon_Hec zenon_Hf0 zenon_Hcb zenon_H45 zenon_Hb5 zenon_Hf8 zenon_H4b zenon_H113 zenon_H31b zenon_H30b zenon_Haf zenon_H54 zenon_He1 zenon_H41 zenon_Hea zenon_H49 zenon_Hda zenon_Hb0 zenon_H31e zenon_H2be zenon_Ha2 zenon_H72 zenon_H2ce zenon_H33a zenon_H7c zenon_H46 zenon_H2d1 zenon_H327 zenon_Hc2 zenon_H8c zenon_H2e1 zenon_H2c9 zenon_H10b zenon_H33e zenon_H35 zenon_H126 zenon_H2c zenon_H1c zenon_Hab.
% 51.29/51.48 apply (zenon_or_s _ _ zenon_H341); [ zenon_intro zenon_H34 | zenon_intro zenon_H342 ].
% 51.29/51.48 apply (zenon_L325_); trivial.
% 51.29/51.48 apply (zenon_or_s _ _ zenon_H342); [ zenon_intro zenon_H2c6 | zenon_intro zenon_H343 ].
% 51.29/51.48 apply (zenon_L453_); trivial.
% 51.29/51.48 apply (zenon_or_s _ _ zenon_H343); [ zenon_intro zenon_H12b | zenon_intro zenon_Haa ].
% 51.29/51.48 apply (zenon_L454_); trivial.
% 51.29/51.48 apply (zenon_L34_); trivial.
% 51.29/51.48 (* end of lemma zenon_L455_ *)
% 51.29/51.48 assert (zenon_L456_ : (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> ((op1 (e13) (e12)) = (e12)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e13)) = (e10)) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e11) (e11)) = (e11)) -> ((op1 (e12) (e11)) = (e11)) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (e13) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> ((op1 (e11) (e12)) = (e13)) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((e11) = (e13))) -> ((e11) = (op1 (e13) (e13))) -> False).
% 51.29/51.48 do 0 intro. intros zenon_Hb5 zenon_H4b zenon_Hf1 zenon_He1 zenon_H62 zenon_H2c9 zenon_H30b zenon_H330 zenon_H46 zenon_Haf zenon_H2c zenon_H1c zenon_Hab zenon_H54 zenon_H49 zenon_H95 zenon_H66 zenon_H65 zenon_H9e zenon_Ha2 zenon_Ha3 zenon_Hb0 zenon_H3d zenon_H19.
% 51.29/51.48 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H4a | zenon_intro zenon_Hb6 ].
% 51.29/51.48 apply (zenon_L15_); trivial.
% 51.29/51.48 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H51 | zenon_intro zenon_Hb7 ].
% 51.29/51.48 apply (zenon_L432_); trivial.
% 51.29/51.48 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb3 ].
% 51.29/51.48 apply (zenon_L36_); trivial.
% 51.29/51.48 apply (zenon_L37_); trivial.
% 51.29/51.48 (* end of lemma zenon_L456_ *)
% 51.29/51.48 assert (zenon_L457_ : (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e10) = (e12))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((e11) = (op1 (e13) (e13))) -> (~((e11) = (e13))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> ((op1 (e11) (e12)) = (e13)) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e13) (e10)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e10) (e11)) = (e13)) -> ((op1 (e12) (e11)) = (e11)) -> ((op1 (e11) (e11)) = (e11)) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e12) (e13)) = (e10)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> False).
% 51.29/51.48 do 0 intro. intros zenon_H327 zenon_Hcb zenon_Hf0 zenon_Hec zenon_Hf3 zenon_H8c zenon_Hc2 zenon_H35 zenon_Hb8 zenon_Hc8 zenon_H19 zenon_H3d zenon_Hb0 zenon_Ha3 zenon_Ha2 zenon_H9e zenon_H65 zenon_H66 zenon_H95 zenon_H49 zenon_H54 zenon_Hab zenon_Haf zenon_H46 zenon_H330 zenon_H30b zenon_H2c9 zenon_H62 zenon_He1 zenon_H4b zenon_Hb5 zenon_H2c zenon_H1c zenon_Hda.
% 51.29/51.48 apply (zenon_or_s _ _ zenon_H327); [ zenon_intro zenon_He8 | zenon_intro zenon_H328 ].
% 51.29/51.48 apply (zenon_L65_); trivial.
% 51.29/51.48 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H2de | zenon_intro zenon_H329 ].
% 51.29/51.48 apply (zenon_L309_); trivial.
% 51.29/51.48 apply (zenon_or_s _ _ zenon_H329); [ zenon_intro zenon_Hf1 | zenon_intro zenon_Hd9 ].
% 51.29/51.48 apply (zenon_L456_); trivial.
% 51.29/51.48 apply (zenon_L46_); trivial.
% 51.29/51.48 (* end of lemma zenon_L457_ *)
% 51.29/51.48 assert (zenon_L458_ : (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e10) (e11)) = (e13)) -> ((op1 (e10) (e12)) = (e11)) -> ((op1 (e12) (e12)) = (e11)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e13)) -> ((op1 (e13) (e10)) = (e13)) -> ((op1 (e12) (e13)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> ((e11) = (op1 (e13) (e13))) -> ((op1 (e11) (e12)) = (e13)) -> False).
% 51.29/51.48 do 0 intro. intros zenon_H2ce zenon_H46 zenon_H11a zenon_H335 zenon_H54 zenon_H51 zenon_H66 zenon_H62 zenon_H65 zenon_Ha2 zenon_H19 zenon_Ha3.
% 51.29/51.48 apply (zenon_or_s _ _ ax10); [ zenon_intro zenon_H7f | zenon_intro zenon_H7e ].
% 51.29/51.48 apply (zenon_L442_); trivial.
% 51.29/51.48 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H53 | zenon_intro zenon_H8a ].
% 51.29/51.48 apply (zenon_L18_); trivial.
% 51.29/51.48 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H64 | zenon_intro zenon_H71 ].
% 51.29/51.48 apply (zenon_L20_); trivial.
% 51.29/51.48 apply (zenon_L31_); trivial.
% 51.29/51.48 (* end of lemma zenon_L458_ *)
% 51.29/51.48 assert (zenon_L459_ : (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e12))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((e10) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op1 (e11) (e12)) = (e13)) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e13) (e10)) = (e13)) -> ((op1 (e11) (e13)) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e12) (e12)) = (e11)) -> ((op1 (e10) (e12)) = (e11)) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> False).
% 51.29/51.48 do 0 intro. intros zenon_H90 zenon_H35 zenon_H1c zenon_Hc2 zenon_Hde zenon_H3d zenon_Hcb zenon_H42 zenon_Hb5 zenon_H4b zenon_H9e zenon_H95 zenon_Hcf zenon_Hab zenon_Hd3 zenon_H2c zenon_Hda zenon_Hb8 zenon_Hc8 zenon_Ha3 zenon_Ha2 zenon_H65 zenon_H66 zenon_H51 zenon_H54 zenon_H335 zenon_H11a zenon_H46 zenon_H2ce zenon_H19 zenon_H8c.
% 51.29/51.48 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H4e | zenon_intro zenon_H91 ].
% 51.29/51.48 apply (zenon_L47_); trivial.
% 51.29/51.48 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H50 | zenon_intro zenon_H92 ].
% 51.29/51.48 apply (zenon_L288_); trivial.
% 51.29/51.48 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H62 | zenon_intro zenon_H8b ].
% 51.29/51.48 apply (zenon_L458_); trivial.
% 51.29/51.48 apply (zenon_L24_); trivial.
% 51.29/51.48 (* end of lemma zenon_L459_ *)
% 51.29/51.48 assert (zenon_L460_ : (~((e10) = (e11))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e10) (e11)) = (e13)) -> ((op1 (e10) (e12)) = (e11)) -> ((op1 (e12) (e12)) = (e11)) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (e13) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> ((op1 (e11) (e12)) = (e13)) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((e11) = (e13))) -> ((e11) = (op1 (e13) (e13))) -> False).
% 51.29/51.48 do 0 intro. intros zenon_H8c zenon_H2ce zenon_H46 zenon_H11a zenon_H335 zenon_Hc8 zenon_Hb8 zenon_Hda zenon_Hd3 zenon_Hcf zenon_H4b zenon_Hb5 zenon_H42 zenon_Hcb zenon_Hde zenon_Hc2 zenon_H35 zenon_H90 zenon_Haf zenon_H2c zenon_H1c zenon_Hab zenon_H54 zenon_H49 zenon_H95 zenon_H66 zenon_H65 zenon_H9e zenon_Ha2 zenon_Ha3 zenon_Hb0 zenon_H3d zenon_H19.
% 51.29/51.48 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H4a | zenon_intro zenon_Hb6 ].
% 51.29/51.48 apply (zenon_L335_); trivial.
% 51.29/51.48 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H51 | zenon_intro zenon_Hb7 ].
% 51.29/51.48 apply (zenon_L459_); trivial.
% 51.29/51.48 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb3 ].
% 51.29/51.48 apply (zenon_L36_); trivial.
% 51.29/51.48 apply (zenon_L37_); trivial.
% 51.29/51.48 (* end of lemma zenon_L460_ *)
% 51.29/51.48 assert (zenon_L461_ : (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((e11) = (e12))) -> ((op1 (e12) (e10)) = (e12)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e13)) = (e10)) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e11) (e11)) = (e11)) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e11) = (e13))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> ((op1 (e11) (e12)) = (e13)) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e13) (e10)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e12))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((e10) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op1 (e10) (e12)) = (e11)) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> False).
% 51.29/51.48 do 0 intro. intros zenon_H33e zenon_H10b zenon_H7c zenon_He1 zenon_H62 zenon_H2c9 zenon_H30b zenon_Hf3 zenon_Hec zenon_Hf0 zenon_H327 zenon_H3d zenon_Hb0 zenon_Ha3 zenon_Ha2 zenon_H65 zenon_H66 zenon_H95 zenon_H49 zenon_H54 zenon_Hab zenon_H1c zenon_H2c zenon_Haf zenon_H90 zenon_H35 zenon_Hc2 zenon_Hde zenon_Hcb zenon_H42 zenon_Hb5 zenon_H4b zenon_Hcf zenon_Hd3 zenon_Hda zenon_Hb8 zenon_Hc8 zenon_H11a zenon_H46 zenon_H2ce zenon_H8c zenon_H9e zenon_H19.
% 51.29/51.48 apply (zenon_or_s _ _ zenon_H33e); [ zenon_intro zenon_H10a | zenon_intro zenon_H33f ].
% 51.29/51.48 apply (zenon_L75_); trivial.
% 51.29/51.48 apply (zenon_or_s _ _ zenon_H33f); [ zenon_intro zenon_H330 | zenon_intro zenon_H340 ].
% 51.29/51.48 apply (zenon_L457_); trivial.
% 51.29/51.48 apply (zenon_or_s _ _ zenon_H340); [ zenon_intro zenon_H335 | zenon_intro zenon_H33b ].
% 51.29/51.48 apply (zenon_L460_); trivial.
% 51.29/51.48 apply (zenon_L452_); trivial.
% 51.29/51.48 (* end of lemma zenon_L461_ *)
% 51.29/51.48 assert (zenon_L462_ : (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e10) (e11)) = (e13)) -> ((op1 (e10) (e12)) = (e11)) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> ((op1 (e11) (e11)) = (e11)) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e12) (e13)) = (e10)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e10)) = (e12)) -> (~((e11) = (e12))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((op1 (e13) (e11)) = (e10)) -> ((op1 (e11) (e12)) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e13))) -> ((e11) = (op1 (e13) (e13))) -> False).
% 51.29/51.48 do 0 intro. intros zenon_H9e zenon_H8c zenon_H2ce zenon_H46 zenon_H11a zenon_Hc8 zenon_Hb8 zenon_Hda zenon_Hd3 zenon_Hcf zenon_H4b zenon_Hb5 zenon_Hde zenon_Hc2 zenon_H35 zenon_H90 zenon_Haf zenon_H2c zenon_H1c zenon_Hab zenon_H54 zenon_H49 zenon_H95 zenon_H65 zenon_Ha2 zenon_Hb0 zenon_H327 zenon_Hf0 zenon_Hec zenon_Hf3 zenon_H30b zenon_H2c9 zenon_H62 zenon_He1 zenon_H7c zenon_H10b zenon_H33e zenon_H42 zenon_Hbe zenon_Ha3 zenon_Hcb zenon_H3d zenon_H19.
% 51.29/51.48 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H66 | zenon_intro zenon_Hd0 ].
% 51.29/51.48 apply (zenon_L461_); trivial.
% 51.29/51.48 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hd1 ].
% 51.29/51.48 apply (zenon_L40_); trivial.
% 51.29/51.48 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hb3 ].
% 51.29/51.48 apply (zenon_L43_); trivial.
% 51.29/51.48 apply (zenon_L37_); trivial.
% 51.29/51.48 (* end of lemma zenon_L462_ *)
% 51.29/51.48 assert (zenon_L463_ : (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e12)) = (e13)) -> ((op1 (e13) (e11)) = (e10)) -> (~((e10) = (e13))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((e11) = (e12))) -> ((op1 (e12) (e10)) = (e12)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e11) (e11)) = (e11)) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e12))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op1 (e10) (e12)) = (e11)) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> False).
% 51.29/51.48 do 0 intro. intros zenon_H3d zenon_Hcb zenon_Ha3 zenon_Hbe zenon_H42 zenon_H33e zenon_H10b zenon_H7c zenon_He1 zenon_H2c9 zenon_H30b zenon_Hf3 zenon_Hec zenon_Hf0 zenon_H327 zenon_Hb0 zenon_Ha2 zenon_H65 zenon_H95 zenon_H49 zenon_H54 zenon_Hab zenon_H1c zenon_H2c zenon_Haf zenon_H90 zenon_H35 zenon_Hc2 zenon_Hde zenon_Hb5 zenon_H4b zenon_Hcf zenon_Hd3 zenon_Hda zenon_Hb8 zenon_Hc8 zenon_H11a zenon_H46 zenon_H2ce zenon_H9e zenon_H19 zenon_H8c.
% 51.29/51.48 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H4e | zenon_intro zenon_H91 ].
% 51.29/51.48 apply (zenon_L16_); trivial.
% 51.29/51.48 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H50 | zenon_intro zenon_H92 ].
% 51.29/51.48 apply (zenon_L287_); trivial.
% 51.29/51.48 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H62 | zenon_intro zenon_H8b ].
% 51.29/51.48 apply (zenon_L462_); trivial.
% 51.29/51.48 apply (zenon_L24_); trivial.
% 51.29/51.48 (* end of lemma zenon_L463_ *)
% 51.29/51.48 assert (zenon_L464_ : (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e10) (e11)) = (e13)) -> ((op1 (e10) (e12)) = (e11)) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> ((op1 (e11) (e11)) = (e11)) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e10)) = (e12)) -> (~((e11) = (e12))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((op1 (e11) (e12)) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e13))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> False).
% 51.29/51.48 do 0 intro. intros zenon_H9e zenon_H2ce zenon_H46 zenon_H11a zenon_Hc8 zenon_Hb8 zenon_Hda zenon_Hd3 zenon_Hcf zenon_H4b zenon_Hb5 zenon_Hde zenon_H35 zenon_H90 zenon_Haf zenon_H2c zenon_Hab zenon_H54 zenon_H49 zenon_H95 zenon_H65 zenon_Ha2 zenon_Hb0 zenon_H327 zenon_Hf0 zenon_Hec zenon_Hf3 zenon_H30b zenon_H2c9 zenon_He1 zenon_H7c zenon_H10b zenon_H33e zenon_H42 zenon_Ha3 zenon_Hcb zenon_H3d zenon_Hc2 zenon_H1c zenon_H19 zenon_H8c.
% 51.29/51.48 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hc9 ].
% 51.29/51.48 apply (zenon_L39_); trivial.
% 51.29/51.48 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hca ].
% 51.29/51.48 apply (zenon_L463_); trivial.
% 51.29/51.48 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H8b ].
% 51.29/51.48 apply (zenon_L41_); trivial.
% 51.29/51.48 apply (zenon_L24_); trivial.
% 51.29/51.48 (* end of lemma zenon_L464_ *)
% 51.29/51.48 assert (zenon_L465_ : ((op1 (e11) (e12)) = (e11)) -> ((op1 (e11) (e12)) = (e13)) -> (~((e11) = (e13))) -> False).
% 51.29/51.48 do 0 intro. intros zenon_H129 zenon_Ha3 zenon_H3d.
% 51.29/51.48 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H3e | zenon_intro zenon_H17 ].
% 51.29/51.48 cut (((e13) = (e13)) = ((e11) = (e13))).
% 51.29/51.48 intro zenon_D_pnotp.
% 51.29/51.48 apply zenon_H3d.
% 51.29/51.48 rewrite <- zenon_D_pnotp.
% 51.29/51.48 exact zenon_H3e.
% 51.29/51.48 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H17].
% 51.29/51.48 cut (((e13) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H3f].
% 51.29/51.48 congruence.
% 51.29/51.48 cut (((op1 (e11) (e12)) = (e11)) = ((e13) = (e11))).
% 51.29/51.48 intro zenon_D_pnotp.
% 51.29/51.48 apply zenon_H3f.
% 51.29/51.48 rewrite <- zenon_D_pnotp.
% 51.29/51.48 exact zenon_H129.
% 51.29/51.48 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H3a].
% 51.29/51.48 cut (((op1 (e11) (e12)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H344].
% 51.29/51.48 congruence.
% 51.29/51.48 exact (zenon_H344 zenon_Ha3).
% 51.29/51.48 apply zenon_H3a. apply refl_equal.
% 51.29/51.48 apply zenon_H17. apply refl_equal.
% 51.29/51.48 apply zenon_H17. apply refl_equal.
% 51.29/51.48 (* end of lemma zenon_L465_ *)
% 51.29/51.48 assert (zenon_L466_ : ((op1 (e11) (e12)) = (e12)) -> ((op1 (e11) (e12)) = (e13)) -> (~((e12) = (e13))) -> False).
% 51.29/51.48 do 0 intro. intros zenon_H12b zenon_Ha3 zenon_H4b.
% 51.29/51.48 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H3e | zenon_intro zenon_H17 ].
% 51.29/51.48 cut (((e13) = (e13)) = ((e12) = (e13))).
% 51.29/51.48 intro zenon_D_pnotp.
% 51.29/51.48 apply zenon_H4b.
% 51.29/51.48 rewrite <- zenon_D_pnotp.
% 51.29/51.48 exact zenon_H3e.
% 51.29/51.48 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H17].
% 51.29/51.48 cut (((e13) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H4c].
% 51.29/51.48 congruence.
% 51.29/51.48 cut (((op1 (e11) (e12)) = (e12)) = ((e13) = (e12))).
% 51.29/51.48 intro zenon_D_pnotp.
% 51.29/51.48 apply zenon_H4c.
% 51.29/51.48 rewrite <- zenon_D_pnotp.
% 51.29/51.48 exact zenon_H12b.
% 51.29/51.48 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H37].
% 51.29/51.48 cut (((op1 (e11) (e12)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H344].
% 51.29/51.48 congruence.
% 51.29/51.48 exact (zenon_H344 zenon_Ha3).
% 51.29/51.48 apply zenon_H37. apply refl_equal.
% 51.29/51.48 apply zenon_H17. apply refl_equal.
% 51.29/51.48 apply zenon_H17. apply refl_equal.
% 51.29/51.48 (* end of lemma zenon_L466_ *)
% 51.29/51.48 assert (zenon_L467_ : ((op1 (e11) (e13)) = (e13)) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e13) (e10)) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((op1 (e13) (e12)) = (e12)) -> ((op1 (e12) (e10)) = (e12)) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((op1 (e11) (e11)) = (e12)) -> ((op1 (e10) (e11)) = (e13)) -> ((op1 (e12) (e12)) = (e11)) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e12))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> False).
% 51.29/51.48 do 0 intro. intros zenon_H51 zenon_H72 zenon_H65 zenon_H66 zenon_H54 zenon_H49 zenon_H2ce zenon_H33a zenon_H2c zenon_Hf1 zenon_H7c zenon_H1c zenon_H2c6 zenon_H46 zenon_H335 zenon_H90 zenon_H35 zenon_H42 zenon_H7d zenon_H2d1 zenon_H19 zenon_H8c.
% 51.29/51.48 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H4e | zenon_intro zenon_H91 ].
% 51.29/51.48 apply (zenon_L16_); trivial.
% 51.29/51.48 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H50 | zenon_intro zenon_H92 ].
% 51.29/51.48 apply (zenon_L17_); trivial.
% 51.29/51.48 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H62 | zenon_intro zenon_H8b ].
% 51.29/51.48 apply (zenon_L446_); trivial.
% 51.29/51.48 apply (zenon_L24_); trivial.
% 51.29/51.48 (* end of lemma zenon_L467_ *)
% 51.29/51.48 assert (zenon_L468_ : (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((e10) = (e11))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e10) = (e13))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op1 (e12) (e12)) = (e11)) -> ((op1 (e10) (e11)) = (e13)) -> ((op1 (e11) (e11)) = (e12)) -> ((op1 (e12) (e10)) = (e12)) -> ((op1 (e13) (e12)) = (e12)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (e13) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> ((op1 (e11) (e12)) = (e13)) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((e11) = (e13))) -> ((e11) = (op1 (e13) (e13))) -> False).
% 51.29/51.48 do 0 intro. intros zenon_Hb5 zenon_H4b zenon_H8c zenon_H2d1 zenon_H7d zenon_H42 zenon_H35 zenon_H90 zenon_H335 zenon_H46 zenon_H2c6 zenon_H7c zenon_Hf1 zenon_H33a zenon_H2ce zenon_H72 zenon_Haf zenon_H2c zenon_H1c zenon_Hab zenon_H54 zenon_H49 zenon_H95 zenon_H66 zenon_H65 zenon_H9e zenon_Ha2 zenon_Ha3 zenon_Hb0 zenon_H3d zenon_H19.
% 51.29/51.48 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H4a | zenon_intro zenon_Hb6 ].
% 51.29/51.48 apply (zenon_L15_); trivial.
% 51.29/51.48 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H51 | zenon_intro zenon_Hb7 ].
% 51.29/51.48 apply (zenon_L467_); trivial.
% 51.29/51.48 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb3 ].
% 51.29/51.48 apply (zenon_L36_); trivial.
% 51.29/51.48 apply (zenon_L37_); trivial.
% 51.29/51.48 (* end of lemma zenon_L468_ *)
% 51.29/51.48 assert (zenon_L469_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e12)) = (e12)) -> ((op1 (e12) (e10)) = (e12)) -> ((op1 (e11) (e11)) = (e12)) -> ((op1 (e10) (e11)) = (e13)) -> ((op1 (e12) (e12)) = (e11)) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e11))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e10) = (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op1 (e11) (e12)) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e13))) -> ((e11) = (op1 (e13) (e13))) -> False).
% 51.29/51.48 do 0 intro. intros zenon_Hcf zenon_Hb0 zenon_Ha2 zenon_H9e zenon_H65 zenon_H95 zenon_H49 zenon_H54 zenon_Hab zenon_H2c zenon_Haf zenon_H72 zenon_H2ce zenon_H33a zenon_Hf1 zenon_H7c zenon_H2c6 zenon_H46 zenon_H335 zenon_H90 zenon_H35 zenon_H7d zenon_H2d1 zenon_H4b zenon_Hb5 zenon_H8c zenon_H1c zenon_Hc2 zenon_H42 zenon_Hb8 zenon_Hc8 zenon_Ha3 zenon_Hcb zenon_H3d zenon_H19.
% 51.29/51.48 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H66 | zenon_intro zenon_Hd0 ].
% 51.29/51.48 apply (zenon_L468_); trivial.
% 51.29/51.48 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hd1 ].
% 51.29/51.49 apply (zenon_L42_); trivial.
% 51.29/51.49 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hb3 ].
% 51.29/51.49 apply (zenon_L43_); trivial.
% 51.29/51.49 apply (zenon_L37_); trivial.
% 51.29/51.49 (* end of lemma zenon_L469_ *)
% 51.29/51.49 assert (zenon_L470_ : (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e10)) = (e12)) -> ((op1 (e11) (e11)) = (e12)) -> ((op1 (e10) (e11)) = (e13)) -> ((op1 (e12) (e12)) = (e11)) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e11))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e10) = (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op1 (e11) (e12)) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e13))) -> ((e11) = (op1 (e13) (e13))) -> False).
% 51.29/51.49 do 0 intro. intros zenon_H31e zenon_H2be zenon_H305 zenon_Hcf zenon_Hb0 zenon_Ha2 zenon_H9e zenon_H65 zenon_H95 zenon_H49 zenon_H54 zenon_Hab zenon_H2c zenon_Haf zenon_H72 zenon_H2ce zenon_H33a zenon_H7c zenon_H2c6 zenon_H46 zenon_H335 zenon_H90 zenon_H35 zenon_H7d zenon_H2d1 zenon_H4b zenon_Hb5 zenon_H8c zenon_H1c zenon_Hc2 zenon_H42 zenon_Hb8 zenon_Hc8 zenon_Ha3 zenon_Hcb zenon_H3d zenon_H19.
% 51.29/51.49 apply (zenon_or_s _ _ zenon_H31e); [ zenon_intro zenon_H2bf | zenon_intro zenon_H31f ].
% 51.29/51.49 apply (zenon_L282_); trivial.
% 51.29/51.49 apply (zenon_or_s _ _ zenon_H31f); [ zenon_intro zenon_H12b | zenon_intro zenon_H320 ].
% 51.29/51.49 apply (zenon_L466_); trivial.
% 51.29/51.49 apply (zenon_or_s _ _ zenon_H320); [ zenon_intro zenon_H304 | zenon_intro zenon_Hf1 ].
% 51.29/51.49 apply (zenon_L334_); trivial.
% 51.29/51.49 apply (zenon_L469_); trivial.
% 51.29/51.49 (* end of lemma zenon_L470_ *)
% 51.29/51.49 assert (zenon_L471_ : (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((e11) = (e12))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e11) (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 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e12)) = (e13)) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e13))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op1 (e10) (e11)) = (e13)) -> ((op1 (e11) (e11)) = (e12)) -> ((op1 (e12) (e10)) = (e12)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> False).
% 51.29/51.49 do 0 intro. intros zenon_H345 zenon_H33e zenon_H10b zenon_He1 zenon_H2c9 zenon_H30b zenon_Hf3 zenon_Hf0 zenon_H327 zenon_Hde zenon_Hd3 zenon_Hda zenon_H3d zenon_Hcb zenon_Ha3 zenon_Hc8 zenon_Hb8 zenon_H42 zenon_Hc2 zenon_H1c zenon_H8c zenon_Hb5 zenon_H4b zenon_H2d1 zenon_H7d zenon_H35 zenon_H90 zenon_H46 zenon_H2c6 zenon_H7c zenon_H33a zenon_H2ce zenon_H72 zenon_Haf zenon_H2c zenon_Hab zenon_H54 zenon_H49 zenon_H95 zenon_H65 zenon_H9e zenon_Ha2 zenon_Hb0 zenon_Hcf zenon_H305 zenon_H2be zenon_H31e zenon_Hec zenon_H19.
% 51.29/51.49 apply (zenon_or_s _ _ zenon_H345); [ zenon_intro zenon_H11a | zenon_intro zenon_H346 ].
% 51.29/51.49 apply (zenon_L464_); trivial.
% 51.29/51.49 apply (zenon_or_s _ _ zenon_H346); [ zenon_intro zenon_H129 | zenon_intro zenon_H347 ].
% 51.29/51.49 apply (zenon_L465_); trivial.
% 51.29/51.49 apply (zenon_or_s _ _ zenon_H347); [ zenon_intro zenon_H335 | zenon_intro zenon_Hed ].
% 51.29/51.49 apply (zenon_L470_); trivial.
% 51.29/51.49 apply (zenon_L63_); trivial.
% 51.29/51.49 (* end of lemma zenon_L471_ *)
% 51.29/51.49 assert (zenon_L472_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((op1 (e13) (e12)) = (e12)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e11) (e11)) = (e11)) -> ((op1 (e12) (e11)) = (e11)) -> ((op1 (e10) (e11)) = (e13)) -> (~((e10) = (e13))) -> ((op1 (e13) (e11)) = (e10)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e12) (e13)) = (e10)) -> ((op1 (e12) (e10)) = (e13)) -> ((op1 (e11) (e13)) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e13))) -> ((e11) = (op1 (e13) (e13))) -> False).
% 51.29/51.49 do 0 intro. intros zenon_Hcf zenon_Hf1 zenon_H65 zenon_H2c9 zenon_H30b zenon_H330 zenon_H46 zenon_H42 zenon_Hbe zenon_Hda zenon_H49 zenon_H7d zenon_H62 zenon_He2 zenon_H51 zenon_H54 zenon_He1 zenon_H3d zenon_H19.
% 51.29/51.49 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H66 | zenon_intro zenon_Hd0 ].
% 51.29/51.49 apply (zenon_L432_); trivial.
% 51.29/51.49 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hd1 ].
% 51.29/51.49 apply (zenon_L40_); trivial.
% 51.29/51.49 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hb3 ].
% 51.29/51.49 apply (zenon_L51_); trivial.
% 51.29/51.49 apply (zenon_L37_); trivial.
% 51.29/51.49 (* end of lemma zenon_L472_ *)
% 51.29/51.49 assert (zenon_L473_ : (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e13)) -> ((op1 (e12) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e11)) = (e10)) -> (~((e10) = (e13))) -> ((op1 (e10) (e11)) = (e13)) -> ((op1 (e12) (e11)) = (e11)) -> ((op1 (e11) (e11)) = (e11)) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e13) (e12)) = (e12)) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> False).
% 51.29/51.49 do 0 intro. intros zenon_H90 zenon_H1c zenon_H2c zenon_Hd3 zenon_Hab zenon_H35 zenon_Hde zenon_H3d zenon_He1 zenon_H54 zenon_H51 zenon_He2 zenon_H7d zenon_H49 zenon_Hda zenon_Hbe zenon_H42 zenon_H46 zenon_H330 zenon_H30b zenon_H2c9 zenon_H65 zenon_Hf1 zenon_Hcf zenon_H19 zenon_H8c.
% 51.29/51.49 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H4e | zenon_intro zenon_H91 ].
% 51.29/51.49 apply (zenon_L47_); trivial.
% 51.29/51.49 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H50 | zenon_intro zenon_H92 ].
% 51.29/51.49 apply (zenon_L17_); trivial.
% 51.29/51.49 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H62 | zenon_intro zenon_H8b ].
% 51.29/51.49 apply (zenon_L472_); trivial.
% 51.29/51.49 apply (zenon_L24_); trivial.
% 51.29/51.49 (* end of lemma zenon_L473_ *)
% 51.29/51.49 assert (zenon_L474_ : (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (e12) (e10)) = (e12)) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e11) (e11)) = (e11)) -> ((op1 (e12) (e11)) = (e11)) -> ((op1 (e10) (e11)) = (e13)) -> (~((e10) = (e13))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e12) (e10)) = (e13)) -> ((op1 (e11) (e13)) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e13))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> False).
% 51.29/51.49 do 0 intro. intros zenon_H31e zenon_H2be zenon_H2ff zenon_Ha2 zenon_H2ba zenon_H2e1 zenon_H305 zenon_H7c zenon_Hc8 zenon_Hb8 zenon_Hcf zenon_H65 zenon_H2c9 zenon_H30b zenon_H330 zenon_H46 zenon_H42 zenon_Hda zenon_H49 zenon_H7d zenon_He2 zenon_H51 zenon_H54 zenon_He1 zenon_H3d zenon_Hde zenon_H35 zenon_Hab zenon_Hd3 zenon_H2c zenon_H90 zenon_Hc2 zenon_H1c zenon_H19 zenon_H8c.
% 51.29/51.49 apply (zenon_or_s _ _ zenon_H31e); [ zenon_intro zenon_H2bf | zenon_intro zenon_H31f ].
% 51.29/51.49 apply (zenon_L282_); trivial.
% 51.29/51.49 apply (zenon_or_s _ _ zenon_H31f); [ zenon_intro zenon_H12b | zenon_intro zenon_H320 ].
% 51.29/51.49 apply (zenon_L333_); trivial.
% 51.29/51.49 apply (zenon_or_s _ _ zenon_H320); [ zenon_intro zenon_H304 | zenon_intro zenon_Hf1 ].
% 51.29/51.49 apply (zenon_L334_); trivial.
% 51.29/51.49 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hc9 ].
% 51.29/51.49 apply (zenon_L39_); trivial.
% 51.29/51.49 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hca ].
% 51.29/51.49 apply (zenon_L473_); trivial.
% 51.29/51.49 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H8b ].
% 51.29/51.49 apply (zenon_L41_); trivial.
% 51.29/51.49 apply (zenon_L24_); trivial.
% 51.29/51.49 (* end of lemma zenon_L474_ *)
% 51.29/51.49 assert (zenon_L475_ : (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (e11) (e13)) = (e13)) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e13) (e10)) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((op1 (e12) (e10)) = (e12)) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((op1 (e11) (e11)) = (e12)) -> ((op1 (e10) (e11)) = (e13)) -> ((op1 (e12) (e12)) = (e11)) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e12))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> False).
% 51.29/51.49 do 0 intro. intros zenon_H31e zenon_H2be zenon_Ha2 zenon_H305 zenon_H51 zenon_H72 zenon_H65 zenon_H66 zenon_H54 zenon_H49 zenon_H2ce zenon_H33a zenon_H2c zenon_H7c zenon_H1c zenon_H2c6 zenon_H46 zenon_H335 zenon_H90 zenon_H35 zenon_H42 zenon_H7d zenon_H2d1 zenon_H19 zenon_H8c.
% 51.29/51.49 apply (zenon_or_s _ _ zenon_H31e); [ zenon_intro zenon_H2bf | zenon_intro zenon_H31f ].
% 51.29/51.49 apply (zenon_L282_); trivial.
% 51.29/51.49 apply (zenon_or_s _ _ zenon_H31f); [ zenon_intro zenon_H12b | zenon_intro zenon_H320 ].
% 51.29/51.49 apply (zenon_L331_); trivial.
% 51.29/51.49 apply (zenon_or_s _ _ zenon_H320); [ zenon_intro zenon_H304 | zenon_intro zenon_Hf1 ].
% 51.29/51.49 apply (zenon_L334_); trivial.
% 51.29/51.49 apply (zenon_L467_); trivial.
% 51.29/51.49 (* end of lemma zenon_L475_ *)
% 51.29/51.49 assert (zenon_L476_ : (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((op1 (e12) (e12)) = (e11)) -> ((op1 (e10) (e11)) = (e13)) -> ((op1 (e11) (e11)) = (e12)) -> ((op1 (e12) (e10)) = (e12)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> ((op1 (e13) (e11)) = (e10)) -> (~((e10) = (e11))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e11) (e13)) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e13))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op1 (e10) (e13)) = (e12)) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((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)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> ((op1 (e10) (e10)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (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 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> ((op1 (e11) (e11)) = (e11)) -> (~((e11) = (e13))) -> ((e11) = (op1 (e13) (e13))) -> False).
% 51.29/51.49 do 0 intro. intros zenon_H2d1 zenon_H335 zenon_H46 zenon_H2c6 zenon_H7c zenon_H33a zenon_H2ce zenon_H72 zenon_Ha2 zenon_H2be zenon_H31e zenon_Hbe zenon_H8c zenon_Hde zenon_H65 zenon_H51 zenon_H54 zenon_He1 zenon_Hab zenon_Hd3 zenon_H2c zenon_H1c zenon_Hda zenon_H42 zenon_H35 zenon_H90 zenon_H49 zenon_H318 zenon_H305 zenon_H95 zenon_H10e zenon_H123 zenon_H311 zenon_Haf zenon_H2ff zenon_H2ba zenon_H1b zenon_H2d4 zenon_H30d zenon_H314 zenon_Hfb zenon_H3b zenon_Hf6 zenon_H2e0 zenon_Hc2 zenon_Hcf zenon_H7d zenon_Hb8 zenon_Hc8 zenon_Hf3 zenon_Hec zenon_Hf0 zenon_Hcb zenon_H45 zenon_Hb5 zenon_H9e zenon_Hea zenon_Hb0 zenon_Hf8 zenon_H4b zenon_H113 zenon_H31b zenon_H30b zenon_H3d zenon_H19.
% 51.29/51.49 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H66 | zenon_intro zenon_Hd0 ].
% 51.29/51.49 apply (zenon_L475_); trivial.
% 51.29/51.49 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hd1 ].
% 51.29/51.49 apply (zenon_L40_); trivial.
% 51.29/51.49 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hb3 ].
% 51.29/51.49 apply (zenon_L366_); trivial.
% 51.29/51.49 apply (zenon_L37_); trivial.
% 51.29/51.49 (* end of lemma zenon_L476_ *)
% 51.29/51.49 assert (zenon_L477_ : (~((e11) = (e13))) -> ((op1 (e11) (e11)) = (e11)) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((e12) = (e13))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((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))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> ((op1 (e10) (e10)) = (e11)) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((op1 (e10) (e13)) = (e12)) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e12))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e10)) = (e12)) -> ((op1 (e11) (e11)) = (e12)) -> ((op1 (e10) (e11)) = (e13)) -> ((op1 (e12) (e12)) = (e11)) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> False).
% 51.29/51.49 do 0 intro. intros zenon_H3d zenon_H30b zenon_H31b zenon_H113 zenon_H4b zenon_Hf8 zenon_Hb0 zenon_Hea zenon_H9e zenon_Hb5 zenon_H45 zenon_Hcb zenon_Hf0 zenon_Hec zenon_Hf3 zenon_Hc8 zenon_Hb8 zenon_H7d zenon_Hcf zenon_H2e0 zenon_Hf6 zenon_H3b zenon_Hfb zenon_H314 zenon_H30d zenon_H2d4 zenon_H1b zenon_H2ba zenon_H2ff zenon_Haf zenon_H311 zenon_H123 zenon_H10e zenon_H95 zenon_H305 zenon_H318 zenon_H49 zenon_H90 zenon_H35 zenon_H42 zenon_Hda zenon_H2c zenon_Hd3 zenon_Hab zenon_He1 zenon_H54 zenon_H51 zenon_H65 zenon_Hde zenon_H31e zenon_H2be zenon_Ha2 zenon_H72 zenon_H2ce zenon_H33a zenon_H7c zenon_H2c6 zenon_H46 zenon_H335 zenon_H2d1 zenon_Hc2 zenon_H1c zenon_H19 zenon_H8c.
% 51.29/51.49 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hc9 ].
% 51.29/51.49 apply (zenon_L39_); trivial.
% 51.29/51.49 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hca ].
% 51.29/51.49 apply (zenon_L476_); trivial.
% 51.29/51.49 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H8b ].
% 51.29/51.49 apply (zenon_L41_); trivial.
% 51.29/51.49 apply (zenon_L24_); trivial.
% 51.29/51.49 (* end of lemma zenon_L477_ *)
% 51.29/51.49 assert (zenon_L478_ : (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e11) = (e12))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((op1 (e12) (e10)) = (e13)) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((e10) = (e11))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((op1 (e10) (e11)) = (e13)) -> ((op1 (e11) (e11)) = (e12)) -> ((op1 (e12) (e10)) = (e12)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e13))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op1 (e10) (e13)) = (e12)) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((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)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> ((op1 (e10) (e10)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (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 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> ((op1 (e11) (e11)) = (e11)) -> (~((e11) = (e13))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> False).
% 51.29/51.49 do 0 intro. intros zenon_H105 zenon_H327 zenon_H10b zenon_H345 zenon_H33e zenon_He2 zenon_H2c9 zenon_H2e1 zenon_H8c zenon_H1c zenon_Hc2 zenon_H2d1 zenon_H46 zenon_H2c6 zenon_H7c zenon_H33a zenon_H2ce zenon_H72 zenon_Ha2 zenon_H2be zenon_H31e zenon_Hde zenon_H65 zenon_H54 zenon_He1 zenon_Hab zenon_Hd3 zenon_H2c zenon_Hda zenon_H42 zenon_H35 zenon_H90 zenon_H49 zenon_H318 zenon_H305 zenon_H95 zenon_H10e zenon_H123 zenon_H311 zenon_Haf zenon_H2ff zenon_H2ba zenon_H1b zenon_H2d4 zenon_H30d zenon_H314 zenon_Hfb zenon_H3b zenon_Hf6 zenon_H2e0 zenon_Hcf zenon_H7d zenon_Hb8 zenon_Hc8 zenon_Hf3 zenon_Hec zenon_Hf0 zenon_Hcb zenon_H45 zenon_Hb5 zenon_Hea zenon_Hb0 zenon_Hf8 zenon_H4b zenon_H113 zenon_H31b zenon_H30b zenon_H3d zenon_H9e zenon_H19.
% 51.29/51.49 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H41 | zenon_intro zenon_Hf9 ].
% 51.29/51.49 apply (zenon_L453_); trivial.
% 51.29/51.49 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H47 | zenon_intro zenon_Hfa ].
% 51.29/51.49 apply (zenon_L299_); trivial.
% 51.29/51.49 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H51 ].
% 51.29/51.49 apply (zenon_L471_); trivial.
% 51.29/51.49 apply (zenon_or_s _ _ zenon_H33e); [ zenon_intro zenon_H10a | zenon_intro zenon_H33f ].
% 51.29/51.49 apply (zenon_L421_); trivial.
% 51.29/51.49 apply (zenon_or_s _ _ zenon_H33f); [ zenon_intro zenon_H330 | zenon_intro zenon_H340 ].
% 51.29/51.49 apply (zenon_L474_); trivial.
% 51.29/51.49 apply (zenon_or_s _ _ zenon_H340); [ zenon_intro zenon_H335 | zenon_intro zenon_H33b ].
% 51.29/51.49 apply (zenon_L477_); trivial.
% 51.29/51.49 apply (zenon_L452_); trivial.
% 51.29/51.49 (* end of lemma zenon_L478_ *)
% 51.29/51.49 assert (zenon_L479_ : (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((e11) = (e13))) -> ((op1 (e11) (e11)) = (e11)) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((e12) = (e13))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> ((op1 (e10) (e10)) = (e11)) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e11)) = (e13)) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e12) (e10)) = (e13)) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((e11) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((e10) = (e11))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e10) = (e12))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op1 (e10) (e13)) = (e12)) -> ((op1 (e12) (e10)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> False).
% 51.29/51.49 do 0 intro. intros zenon_H341 zenon_H2c5 zenon_H2db zenon_H23 zenon_H24 zenon_H125 zenon_H9e zenon_H3d zenon_H30b zenon_H31b zenon_H113 zenon_H4b zenon_Hf8 zenon_Hb0 zenon_Hea zenon_Hb5 zenon_H45 zenon_Hcb zenon_Hf0 zenon_Hec zenon_Hf3 zenon_H7d zenon_Hcf zenon_H2e0 zenon_Hf6 zenon_H3b zenon_Hfb zenon_H314 zenon_H30d zenon_H2d4 zenon_H1b zenon_Haf zenon_H311 zenon_H123 zenon_H10e zenon_H95 zenon_H305 zenon_H318 zenon_H90 zenon_H42 zenon_Hda zenon_Hd3 zenon_He1 zenon_H54 zenon_H65 zenon_Hde zenon_H31e zenon_H2be zenon_H72 zenon_H2ce zenon_H33a zenon_H46 zenon_H2d1 zenon_H2c9 zenon_He2 zenon_H33e zenon_H345 zenon_H10b zenon_H327 zenon_H105 zenon_H8c zenon_H19 zenon_Hc2 zenon_H35 zenon_Hb8 zenon_Hc8 zenon_H49 zenon_H7c zenon_H2ff zenon_Ha2 zenon_H2ba zenon_H2e1 zenon_H2c zenon_H1c zenon_Hab.
% 51.29/51.49 apply (zenon_or_s _ _ zenon_H341); [ zenon_intro zenon_H34 | zenon_intro zenon_H342 ].
% 51.29/51.49 apply (zenon_L316_); trivial.
% 51.29/51.49 apply (zenon_or_s _ _ zenon_H342); [ zenon_intro zenon_H2c6 | zenon_intro zenon_H343 ].
% 51.29/51.49 apply (zenon_L478_); trivial.
% 51.29/51.49 apply (zenon_or_s _ _ zenon_H343); [ zenon_intro zenon_H12b | zenon_intro zenon_Haa ].
% 51.29/51.49 apply (zenon_L333_); trivial.
% 51.29/51.49 apply (zenon_L34_); trivial.
% 51.29/51.49 (* end of lemma zenon_L479_ *)
% 51.29/51.49 assert (zenon_L480_ : ((op1 (e11) (e12)) = (e11)) -> ((op1 (e11) (e12)) = (e12)) -> (~((e11) = (e12))) -> False).
% 51.29/51.49 do 0 intro. intros zenon_H129 zenon_H12b zenon_H10b.
% 51.29/51.49 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H36 | zenon_intro zenon_H37 ].
% 51.29/51.49 cut (((e12) = (e12)) = ((e11) = (e12))).
% 51.29/51.49 intro zenon_D_pnotp.
% 51.29/51.49 apply zenon_H10b.
% 51.29/51.49 rewrite <- zenon_D_pnotp.
% 51.29/51.49 exact zenon_H36.
% 51.29/51.49 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H37].
% 51.29/51.49 cut (((e12) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H10c].
% 51.29/51.49 congruence.
% 51.29/51.49 cut (((op1 (e11) (e12)) = (e11)) = ((e12) = (e11))).
% 51.29/51.49 intro zenon_D_pnotp.
% 51.29/51.49 apply zenon_H10c.
% 51.29/51.49 rewrite <- zenon_D_pnotp.
% 51.29/51.49 exact zenon_H129.
% 51.29/51.49 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H3a].
% 51.29/51.49 cut (((op1 (e11) (e12)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H2fe].
% 51.29/51.49 congruence.
% 51.29/51.49 exact (zenon_H2fe zenon_H12b).
% 51.29/51.49 apply zenon_H3a. apply refl_equal.
% 51.29/51.49 apply zenon_H37. apply refl_equal.
% 51.29/51.49 apply zenon_H37. apply refl_equal.
% 51.29/51.49 (* end of lemma zenon_L480_ *)
% 51.29/51.49 assert (zenon_L481_ : (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((op1 (e11) (e10)) = (e10)) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((e11) = (e13))) -> ((op1 (e11) (e12)) = (e11)) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e12))) -> ((op1 (e10) (e13)) = (e12)) -> (~((e10) = (e13))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e13) (e10)) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e10) (e12)) = (e10)) -> ((op1 (e12) (e10)) = (e12)) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> False).
% 51.29/51.49 do 0 intro. intros zenon_Hf8 zenon_H33 zenon_H46 zenon_H45 zenon_H3d zenon_H129 zenon_H90 zenon_H35 zenon_H49 zenon_H42 zenon_H72 zenon_H65 zenon_H66 zenon_H54 zenon_H7d zenon_H22 zenon_H7c zenon_H19 zenon_H8c.
% 51.29/51.49 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H41 | zenon_intro zenon_Hf9 ].
% 51.29/51.49 apply (zenon_L12_); trivial.
% 51.29/51.49 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H47 | zenon_intro zenon_Hfa ].
% 51.29/51.49 apply (zenon_L13_); trivial.
% 51.29/51.49 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H51 ].
% 51.29/51.49 apply (zenon_L465_); trivial.
% 51.29/51.49 apply (zenon_L25_); trivial.
% 51.29/51.49 (* end of lemma zenon_L481_ *)
% 51.29/51.49 assert (zenon_L482_ : (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e10) (e12)) = (e11)) -> ((op1 (e11) (e12)) = (e11)) -> False).
% 51.29/51.49 do 0 intro. intros zenon_H125 zenon_H11a zenon_H129.
% 51.29/51.49 cut (((op1 (e10) (e12)) = (e11)) = ((op1 (e10) (e12)) = (op1 (e11) (e12)))).
% 51.29/51.49 intro zenon_D_pnotp.
% 51.29/51.49 apply zenon_H125.
% 51.29/51.49 rewrite <- zenon_D_pnotp.
% 51.29/51.49 exact zenon_H11a.
% 51.29/51.49 cut (((e11) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H12a].
% 51.29/51.49 cut (((op1 (e10) (e12)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H26].
% 51.29/51.49 congruence.
% 51.29/51.49 apply zenon_H26. apply refl_equal.
% 51.29/51.49 apply zenon_H12a. apply sym_equal. exact zenon_H129.
% 51.29/51.49 (* end of lemma zenon_L482_ *)
% 51.29/51.49 assert (zenon_L483_ : (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((e10) = (e11))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e10) = (e13))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e11) = (e13))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((op1 (e10) (e11)) = (e13)) -> ((op1 (e11) (e10)) = (e10)) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((op1 (e11) (e12)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e11) (e11)) = (e12)) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((op1 (e12) (e10)) = (e12)) -> ((op1 (e13) (e12)) = (e12)) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e10)) = (e13)) -> ((op1 (e12) (e13)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> ((op1 (e11) (e13)) = (e13)) -> False).
% 51.29/51.49 do 0 intro. intros zenon_H2d1 zenon_H8c zenon_H7d zenon_H42 zenon_H35 zenon_H90 zenon_H3d zenon_H45 zenon_H46 zenon_H33 zenon_Hf8 zenon_H129 zenon_H125 zenon_H2c6 zenon_H1c zenon_H7c zenon_Hf1 zenon_H2c zenon_H33a zenon_H2ce zenon_H49 zenon_H54 zenon_H66 zenon_H62 zenon_H65 zenon_H72 zenon_H19 zenon_H51.
% 51.29/51.49 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H22 | zenon_intro zenon_H2d2 ].
% 51.29/51.49 apply (zenon_L481_); trivial.
% 51.29/51.49 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H11a | zenon_intro zenon_H2d3 ].
% 51.29/51.49 apply (zenon_L482_); trivial.
% 51.29/51.49 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H2bf | zenon_intro zenon_He6 ].
% 51.29/51.49 apply (zenon_L445_); trivial.
% 51.29/51.49 apply (zenon_L291_); trivial.
% 51.29/51.49 (* end of lemma zenon_L483_ *)
% 51.29/51.49 assert (zenon_L484_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e12) (e13)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((op1 (e13) (e12)) = (e12)) -> ((op1 (e12) (e10)) = (e12)) -> ((op1 (e11) (e11)) = (e12)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e11) (e12)) = (e11)) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((op1 (e11) (e10)) = (e10)) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e11))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e13)) -> ((op1 (e12) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e13))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e11) = (e13))) -> ((e11) = (op1 (e13) (e13))) -> False).
% 51.29/51.49 do 0 intro. intros zenon_Hcf zenon_H72 zenon_H65 zenon_H62 zenon_H2ce zenon_H33a zenon_H2c zenon_Hf1 zenon_H7c zenon_H2c6 zenon_H125 zenon_H129 zenon_Hf8 zenon_H33 zenon_H46 zenon_H45 zenon_H2d1 zenon_H1c zenon_Hc2 zenon_Hb8 zenon_Hc8 zenon_H8c zenon_He1 zenon_H54 zenon_H51 zenon_He2 zenon_H7d zenon_H49 zenon_Hda zenon_H42 zenon_H35 zenon_H90 zenon_H3d zenon_H19.
% 51.29/51.49 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H66 | zenon_intro zenon_Hd0 ].
% 51.29/51.49 apply (zenon_L483_); trivial.
% 51.29/51.49 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hd1 ].
% 51.29/51.49 apply (zenon_L42_); trivial.
% 51.29/51.49 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hb3 ].
% 51.29/51.49 apply (zenon_L52_); trivial.
% 51.29/51.49 apply (zenon_L37_); trivial.
% 51.29/51.49 (* end of lemma zenon_L484_ *)
% 51.29/51.49 assert (zenon_L485_ : (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((e10) = (e11))) -> ((e11) = (op1 (e13) (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e10)) = (e12)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((op1 (e11) (e10)) = (e10)) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e12) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e13))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e11) = (e13))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (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) (e10)) = (op1 (e10) (e11)))) -> ((op1 (e10) (e10)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((e11) = (e12))) -> ((op1 (e11) (e12)) = (e11)) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> False).
% 51.29/51.49 do 0 intro. intros zenon_H341 zenon_H8c zenon_H19 zenon_Hcf zenon_H72 zenon_H65 zenon_H2ce zenon_H33a zenon_H7c zenon_H125 zenon_Hf8 zenon_H33 zenon_H46 zenon_H45 zenon_H2d1 zenon_Hc2 zenon_Hb8 zenon_Hc8 zenon_He1 zenon_H54 zenon_He2 zenon_H7d zenon_H49 zenon_Hda zenon_H42 zenon_H35 zenon_H90 zenon_H3d zenon_Hde zenon_Hd3 zenon_H305 zenon_H2be zenon_H31e zenon_H2d4 zenon_H1b zenon_H105 zenon_H3b zenon_H2ba zenon_H10b zenon_H129 zenon_H2c zenon_H1c zenon_Hab.
% 51.29/51.49 apply (zenon_or_s _ _ zenon_H341); [ zenon_intro zenon_H34 | zenon_intro zenon_H342 ].
% 51.29/51.49 apply (zenon_L9_); trivial.
% 51.29/51.49 apply (zenon_or_s _ _ zenon_H342); [ zenon_intro zenon_H2c6 | zenon_intro zenon_H343 ].
% 51.29/51.49 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H41 | zenon_intro zenon_Hf9 ].
% 51.29/51.49 apply (zenon_L12_); trivial.
% 51.29/51.49 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H47 | zenon_intro zenon_Hfa ].
% 51.29/51.49 apply (zenon_L299_); trivial.
% 51.29/51.49 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H51 ].
% 51.29/51.49 apply (zenon_L465_); trivial.
% 51.29/51.49 apply (zenon_or_s _ _ zenon_H31e); [ zenon_intro zenon_H2bf | zenon_intro zenon_H31f ].
% 51.29/51.49 apply (zenon_L282_); trivial.
% 51.29/51.49 apply (zenon_or_s _ _ zenon_H31f); [ zenon_intro zenon_H12b | zenon_intro zenon_H320 ].
% 51.29/51.49 apply (zenon_L480_); trivial.
% 51.29/51.49 apply (zenon_or_s _ _ zenon_H320); [ zenon_intro zenon_H304 | zenon_intro zenon_Hf1 ].
% 51.29/51.49 apply (zenon_L334_); trivial.
% 51.29/51.49 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H4e | zenon_intro zenon_H91 ].
% 51.29/51.49 apply (zenon_L47_); trivial.
% 51.29/51.49 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H50 | zenon_intro zenon_H92 ].
% 51.29/51.49 apply (zenon_L17_); trivial.
% 51.29/51.49 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H62 | zenon_intro zenon_H8b ].
% 51.29/51.49 apply (zenon_L484_); trivial.
% 51.29/51.49 apply (zenon_L24_); trivial.
% 51.29/51.49 apply (zenon_or_s _ _ zenon_H343); [ zenon_intro zenon_H12b | zenon_intro zenon_Haa ].
% 51.29/51.49 apply (zenon_L480_); trivial.
% 51.29/51.49 apply (zenon_L34_); trivial.
% 51.29/51.49 (* end of lemma zenon_L485_ *)
% 51.29/51.49 assert (zenon_L486_ : (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((op1 (e10) (e10)) = (e11)) -> (~((op1 (e10) (e10)) = (op1 (e10) (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)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e11) = (e13))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e12))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e12) (e10)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((op1 (e10) (e11)) = (e13)) -> ((op1 (e11) (e10)) = (e10)) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e12) (e10)) = (e12)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e11))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> False).
% 51.29/51.49 do 0 intro. intros zenon_H2e1 zenon_Ha2 zenon_H2ff zenon_H327 zenon_H345 zenon_H33e zenon_H2c9 zenon_H318 zenon_H95 zenon_H10e zenon_H123 zenon_H311 zenon_Haf zenon_H30d zenon_H314 zenon_Hfb zenon_Hf6 zenon_H2e0 zenon_Hf3 zenon_Hec zenon_Hf0 zenon_Hcb zenon_Hb5 zenon_Hea zenon_Hb0 zenon_H4b zenon_H113 zenon_H31b zenon_H9e zenon_H24 zenon_H23 zenon_H2db zenon_H2c5 zenon_Hab zenon_H1c zenon_H2c zenon_H10b zenon_H2ba zenon_H3b zenon_H105 zenon_H1b zenon_H2d4 zenon_H31e zenon_H2be zenon_H305 zenon_Hd3 zenon_Hde zenon_H3d zenon_H90 zenon_H35 zenon_H42 zenon_Hda zenon_H49 zenon_H7d zenon_He2 zenon_He1 zenon_Hc8 zenon_Hb8 zenon_Hc2 zenon_H2d1 zenon_H45 zenon_H46 zenon_H33 zenon_Hf8 zenon_H125 zenon_H7c zenon_H33a zenon_H2ce zenon_H65 zenon_H72 zenon_Hcf zenon_H8c zenon_H341 zenon_H54 zenon_H19.
% 51.29/51.49 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H108 | zenon_intro zenon_H319 ].
% 51.29/51.49 apply (zenon_L74_); trivial.
% 51.29/51.49 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H30b | zenon_intro zenon_H31a ].
% 51.29/51.49 apply (zenon_L479_); trivial.
% 51.29/51.49 apply (zenon_or_s _ _ zenon_H31a); [ zenon_intro zenon_H129 | zenon_intro zenon_Ha5 ].
% 51.29/51.49 apply (zenon_L485_); trivial.
% 51.29/51.49 apply (zenon_L33_); trivial.
% 51.29/51.49 (* end of lemma zenon_L486_ *)
% 51.29/51.49 assert (zenon_L487_ : (~((h4 (e12)) = (e22))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> False).
% 51.29/51.49 do 0 intro. intros zenon_H348 zenon_H349 zenon_H15e.
% 51.29/51.49 cut (((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) = ((h4 (e12)) = (e22))).
% 51.29/51.49 intro zenon_D_pnotp.
% 51.29/51.49 apply zenon_H348.
% 51.29/51.49 rewrite <- zenon_D_pnotp.
% 51.29/51.49 exact zenon_H349.
% 51.29/51.49 cut (((op2 (op2 (e23) (op2 (e23) (e23))) (e23)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H34a].
% 51.29/51.49 cut (((h4 (e12)) = (h4 (e12)))); [idtac | apply NNPP; zenon_intro zenon_H34b].
% 51.29/51.49 congruence.
% 51.29/51.49 apply zenon_H34b. apply refl_equal.
% 51.29/51.49 apply zenon_H34a. apply sym_equal. exact zenon_H15e.
% 51.29/51.49 (* end of lemma zenon_L487_ *)
% 51.29/51.49 assert (zenon_L488_ : (~((h4 (op1 (e10) (e12))) = (op2 (h4 (e10)) (h4 (e12))))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((op1 (e10) (e12)) = (e11)) -> ((op2 (e20) (e22)) = (e21)) -> ((e21) = (op2 (e23) (e23))) -> ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> False).
% 51.29/51.49 do 0 intro. intros zenon_H34c zenon_H2e7 zenon_H11a zenon_H293 zenon_H14e zenon_H13 zenon_H14 zenon_H349 zenon_H15e.
% 51.29/51.49 cut (((h4 (e11)) = (op2 (e23) (e23))) = ((h4 (op1 (e10) (e12))) = (op2 (h4 (e10)) (h4 (e12))))).
% 51.29/51.49 intro zenon_D_pnotp.
% 51.29/51.49 apply zenon_H34c.
% 51.29/51.49 rewrite <- zenon_D_pnotp.
% 51.29/51.49 exact zenon_H2e7.
% 51.29/51.49 cut (((op2 (e23) (e23)) = (op2 (h4 (e10)) (h4 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H34d].
% 51.29/51.49 cut (((h4 (e11)) = (h4 (op1 (e10) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H34e].
% 51.29/51.49 congruence.
% 51.29/51.49 elim (classic ((h4 (op1 (e10) (e12))) = (h4 (op1 (e10) (e12))))); [ zenon_intro zenon_H34f | zenon_intro zenon_H350 ].
% 51.29/51.49 cut (((h4 (op1 (e10) (e12))) = (h4 (op1 (e10) (e12)))) = ((h4 (e11)) = (h4 (op1 (e10) (e12))))).
% 51.29/51.49 intro zenon_D_pnotp.
% 51.29/51.49 apply zenon_H34e.
% 51.29/51.49 rewrite <- zenon_D_pnotp.
% 51.29/51.49 exact zenon_H34f.
% 51.29/51.49 cut (((h4 (op1 (e10) (e12))) = (h4 (op1 (e10) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H350].
% 51.29/51.49 cut (((h4 (op1 (e10) (e12))) = (h4 (e11)))); [idtac | apply NNPP; zenon_intro zenon_H351].
% 51.29/51.49 congruence.
% 51.29/51.49 cut (((op1 (e10) (e12)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H11b].
% 51.29/51.49 congruence.
% 51.29/51.49 exact (zenon_H11b zenon_H11a).
% 51.29/51.49 apply zenon_H350. apply refl_equal.
% 51.29/51.49 apply zenon_H350. apply refl_equal.
% 51.29/51.49 elim (classic ((op2 (h4 (e10)) (h4 (e12))) = (op2 (h4 (e10)) (h4 (e12))))); [ zenon_intro zenon_H352 | zenon_intro zenon_H353 ].
% 51.29/51.49 cut (((op2 (h4 (e10)) (h4 (e12))) = (op2 (h4 (e10)) (h4 (e12)))) = ((op2 (e23) (e23)) = (op2 (h4 (e10)) (h4 (e12))))).
% 51.29/51.49 intro zenon_D_pnotp.
% 51.29/51.49 apply zenon_H34d.
% 51.29/51.49 rewrite <- zenon_D_pnotp.
% 51.29/51.49 exact zenon_H352.
% 51.29/51.49 cut (((op2 (h4 (e10)) (h4 (e12))) = (op2 (h4 (e10)) (h4 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H353].
% 51.29/51.49 cut (((op2 (h4 (e10)) (h4 (e12))) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H354].
% 51.29/51.49 congruence.
% 51.29/51.49 cut (((op2 (e20) (e22)) = (e21)) = ((op2 (h4 (e10)) (h4 (e12))) = (op2 (e23) (e23)))).
% 51.29/51.49 intro zenon_D_pnotp.
% 51.29/51.49 apply zenon_H354.
% 51.29/51.49 rewrite <- zenon_D_pnotp.
% 51.29/51.49 exact zenon_H293.
% 51.29/51.49 cut (((e21) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H243].
% 51.29/51.49 cut (((op2 (e20) (e22)) = (op2 (h4 (e10)) (h4 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H355].
% 51.29/51.49 congruence.
% 51.29/51.49 elim (classic ((op2 (h4 (e10)) (h4 (e12))) = (op2 (h4 (e10)) (h4 (e12))))); [ zenon_intro zenon_H352 | zenon_intro zenon_H353 ].
% 51.29/51.49 cut (((op2 (h4 (e10)) (h4 (e12))) = (op2 (h4 (e10)) (h4 (e12)))) = ((op2 (e20) (e22)) = (op2 (h4 (e10)) (h4 (e12))))).
% 51.29/51.49 intro zenon_D_pnotp.
% 51.29/51.49 apply zenon_H355.
% 51.29/51.49 rewrite <- zenon_D_pnotp.
% 51.29/51.49 exact zenon_H352.
% 51.29/51.49 cut (((op2 (h4 (e10)) (h4 (e12))) = (op2 (h4 (e10)) (h4 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H353].
% 51.29/51.49 cut (((op2 (h4 (e10)) (h4 (e12))) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H356].
% 51.29/51.49 congruence.
% 51.29/51.49 cut (((h4 (e12)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H348].
% 51.29/51.49 cut (((h4 (e10)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H12].
% 51.29/51.49 congruence.
% 51.29/51.49 apply (zenon_L1_); trivial.
% 51.29/51.49 apply (zenon_L487_); trivial.
% 51.29/51.49 apply zenon_H353. apply refl_equal.
% 51.29/51.49 apply zenon_H353. apply refl_equal.
% 51.29/51.49 exact (zenon_H243 zenon_H14e).
% 51.29/51.49 apply zenon_H353. apply refl_equal.
% 51.29/51.49 apply zenon_H353. apply refl_equal.
% 51.29/51.49 (* end of lemma zenon_L488_ *)
% 51.29/51.49 assert (zenon_L489_ : (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> ((op2 (e20) (e22)) = (e21)) -> ((h4 (e11)) = (op2 (e23) (e23))) -> (~((h4 (op1 (e10) (e12))) = (op2 (h4 (e10)) (h4 (e12))))) -> ((op1 (e11) (e10)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e12)) = (e13)) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e13))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op1 (e10) (e11)) = (e13)) -> ((op1 (e11) (e11)) = (e12)) -> ((op1 (e12) (e10)) = (e12)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> False).
% 51.29/51.50 do 0 intro. intros zenon_H345 zenon_H15e zenon_H349 zenon_H14 zenon_H13 zenon_H14e zenon_H293 zenon_H2e7 zenon_H34c zenon_H108 zenon_H128 zenon_H3d zenon_Hcb zenon_Ha3 zenon_Hc8 zenon_Hb8 zenon_H42 zenon_Hc2 zenon_H1c zenon_H8c zenon_Hb5 zenon_H4b zenon_H2d1 zenon_H7d zenon_H35 zenon_H90 zenon_H46 zenon_H2c6 zenon_H7c zenon_H33a zenon_H2ce zenon_H72 zenon_Haf zenon_H2c zenon_Hab zenon_H54 zenon_H49 zenon_H95 zenon_H65 zenon_H9e zenon_Ha2 zenon_Hb0 zenon_Hcf zenon_H305 zenon_H2be zenon_H31e zenon_Hec zenon_H19.
% 51.29/51.50 apply (zenon_or_s _ _ zenon_H345); [ zenon_intro zenon_H11a | zenon_intro zenon_H346 ].
% 51.29/51.50 apply (zenon_L488_); trivial.
% 51.29/51.50 apply (zenon_or_s _ _ zenon_H346); [ zenon_intro zenon_H129 | zenon_intro zenon_H347 ].
% 51.29/51.50 apply (zenon_L101_); trivial.
% 51.29/51.50 apply (zenon_or_s _ _ zenon_H347); [ zenon_intro zenon_H335 | zenon_intro zenon_Hed ].
% 51.29/51.50 apply (zenon_L470_); trivial.
% 51.29/51.50 apply (zenon_L63_); trivial.
% 51.29/51.50 (* end of lemma zenon_L489_ *)
% 51.29/51.50 assert (zenon_L490_ : (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((op1 (e12) (e12)) = (e11)) -> ((op1 (e10) (e11)) = (e13)) -> ((op1 (e11) (e11)) = (e12)) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((op1 (e12) (e10)) = (e12)) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> ((op1 (e13) (e11)) = (e10)) -> (~((e10) = (e11))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e13)) -> ((op1 (e12) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e13))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e11) = (e13))) -> ((e11) = (op1 (e13) (e13))) -> False).
% 51.29/51.50 do 0 intro. intros zenon_H31e zenon_H2be zenon_Ha2 zenon_H305 zenon_Hcf zenon_H2d1 zenon_H335 zenon_H46 zenon_H2c6 zenon_H1c zenon_H7c zenon_H2c zenon_H33a zenon_H2ce zenon_H65 zenon_H72 zenon_Hbe zenon_H8c zenon_He1 zenon_H54 zenon_H51 zenon_He2 zenon_H7d zenon_H49 zenon_Hda zenon_H42 zenon_H35 zenon_H90 zenon_H3d zenon_H19.
% 51.29/51.50 apply (zenon_or_s _ _ zenon_H31e); [ zenon_intro zenon_H2bf | zenon_intro zenon_H31f ].
% 51.29/51.50 apply (zenon_L282_); trivial.
% 51.29/51.50 apply (zenon_or_s _ _ zenon_H31f); [ zenon_intro zenon_H12b | zenon_intro zenon_H320 ].
% 51.29/51.50 apply (zenon_L331_); trivial.
% 51.29/51.50 apply (zenon_or_s _ _ zenon_H320); [ zenon_intro zenon_H304 | zenon_intro zenon_Hf1 ].
% 51.29/51.50 apply (zenon_L334_); trivial.
% 51.29/51.50 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H66 | zenon_intro zenon_Hd0 ].
% 51.29/51.50 apply (zenon_L467_); trivial.
% 51.29/51.50 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hd1 ].
% 51.29/51.50 apply (zenon_L40_); trivial.
% 51.29/51.50 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hb3 ].
% 51.29/51.50 apply (zenon_L52_); trivial.
% 51.29/51.50 apply (zenon_L37_); trivial.
% 51.29/51.50 (* end of lemma zenon_L490_ *)
% 51.29/51.50 assert (zenon_L491_ : (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> ((op1 (e11) (e11)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((op1 (e12) (e10)) = (e12)) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e12))) -> ((op1 (e10) (e13)) = (e12)) -> (~((e10) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e13) (e10)) = (e13)) -> ((op1 (e11) (e13)) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e11) (e11)) = (e11)) -> ((op1 (e12) (e11)) = (e11)) -> ((op1 (e10) (e11)) = (e13)) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> False).
% 51.29/51.50 do 0 intro. intros zenon_H31e zenon_H2be zenon_Ha2 zenon_H2c6 zenon_H305 zenon_H1c zenon_H7c zenon_H2c zenon_H90 zenon_H35 zenon_H49 zenon_H42 zenon_He1 zenon_H65 zenon_H66 zenon_H51 zenon_H54 zenon_H2c9 zenon_H30b zenon_H330 zenon_H46 zenon_H19 zenon_H8c.
% 51.29/51.50 apply (zenon_or_s _ _ zenon_H31e); [ zenon_intro zenon_H2bf | zenon_intro zenon_H31f ].
% 51.29/51.50 apply (zenon_L282_); trivial.
% 51.29/51.50 apply (zenon_or_s _ _ zenon_H31f); [ zenon_intro zenon_H12b | zenon_intro zenon_H320 ].
% 51.29/51.50 apply (zenon_L331_); trivial.
% 51.29/51.50 apply (zenon_or_s _ _ zenon_H320); [ zenon_intro zenon_H304 | zenon_intro zenon_Hf1 ].
% 51.29/51.50 apply (zenon_L334_); trivial.
% 51.29/51.50 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H4e | zenon_intro zenon_H91 ].
% 51.29/51.50 apply (zenon_L16_); trivial.
% 51.29/51.50 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H50 | zenon_intro zenon_H92 ].
% 51.29/51.50 apply (zenon_L17_); trivial.
% 51.29/51.50 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H62 | zenon_intro zenon_H8b ].
% 51.29/51.50 apply (zenon_L432_); trivial.
% 51.29/51.50 apply (zenon_L24_); trivial.
% 51.29/51.50 (* end of lemma zenon_L491_ *)
% 51.29/51.50 assert (zenon_L492_ : (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e13) (e10)) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e11)) = (e13)) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e11) (e11)) = (e11)) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((e11) = (e12))) -> (~((e11) = (e13))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> ((op1 (e11) (e10)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((e12) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((e10) = (e11))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e10) = (e12))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op1 (e10) (e13)) = (e12)) -> ((op1 (e12) (e10)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> False).
% 51.29/51.50 do 0 intro. intros zenon_H341 zenon_H9e zenon_H31e zenon_H2be zenon_H305 zenon_H72 zenon_H65 zenon_H66 zenon_H54 zenon_H2ce zenon_H33a zenon_H46 zenon_H90 zenon_H42 zenon_H7d zenon_H2d1 zenon_He1 zenon_H2c9 zenon_H30b zenon_Hfe zenon_H2b zenon_H10b zenon_H3d zenon_Hb0 zenon_H33 zenon_Hf6 zenon_H10e zenon_Hda zenon_H4b zenon_Hcf zenon_H33e zenon_H345 zenon_Hf3 zenon_Hf0 zenon_H327 zenon_Hde zenon_Hd3 zenon_Hcb zenon_Hb5 zenon_Haf zenon_H95 zenon_Hec zenon_H45 zenon_Hf8 zenon_H8c zenon_H19 zenon_Hc2 zenon_H35 zenon_Hb8 zenon_Hc8 zenon_H49 zenon_H7c zenon_H2ff zenon_Ha2 zenon_H2ba zenon_H2e1 zenon_H2c zenon_H1c zenon_Hab.
% 51.29/51.50 apply (zenon_or_s _ _ zenon_H341); [ zenon_intro zenon_H34 | zenon_intro zenon_H342 ].
% 51.29/51.50 apply (zenon_L9_); trivial.
% 51.29/51.50 apply (zenon_or_s _ _ zenon_H342); [ zenon_intro zenon_H2c6 | zenon_intro zenon_H343 ].
% 51.29/51.50 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H41 | zenon_intro zenon_Hf9 ].
% 51.29/51.50 apply (zenon_L12_); trivial.
% 51.29/51.50 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H47 | zenon_intro zenon_Hfa ].
% 51.29/51.50 apply (zenon_L13_); trivial.
% 51.29/51.50 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H51 ].
% 51.29/51.50 apply (zenon_L471_); trivial.
% 51.29/51.50 apply (zenon_or_s _ _ zenon_H33e); [ zenon_intro zenon_H10a | zenon_intro zenon_H33f ].
% 51.29/51.50 apply (zenon_L80_); trivial.
% 51.29/51.50 apply (zenon_or_s _ _ zenon_H33f); [ zenon_intro zenon_H330 | zenon_intro zenon_H340 ].
% 51.29/51.50 apply (zenon_L491_); trivial.
% 51.29/51.50 apply (zenon_or_s _ _ zenon_H340); [ zenon_intro zenon_H335 | zenon_intro zenon_H33b ].
% 51.29/51.50 apply (zenon_L475_); trivial.
% 51.29/51.50 apply (zenon_L452_); trivial.
% 51.29/51.50 apply (zenon_or_s _ _ zenon_H343); [ zenon_intro zenon_H12b | zenon_intro zenon_Haa ].
% 51.29/51.50 apply (zenon_L333_); trivial.
% 51.29/51.50 apply (zenon_L34_); trivial.
% 51.29/51.50 (* end of lemma zenon_L492_ *)
% 51.29/51.50 assert (zenon_L493_ : (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((e10) = (e11))) -> ((e11) = (op1 (e13) (e13))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e10) = (e13))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e11) = (e13))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((op1 (e10) (e11)) = (e13)) -> ((op1 (e11) (e10)) = (e10)) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e12) (e10)) = (e12)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (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) (e10)) = (op1 (e10) (e11)))) -> ((op1 (e10) (e10)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((e11) = (e12))) -> ((op1 (e11) (e12)) = (e11)) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> False).
% 51.29/51.50 do 0 intro. intros zenon_H341 zenon_Hb5 zenon_H4b zenon_H9e zenon_H95 zenon_H2e1 zenon_H2c5 zenon_H2db zenon_Hb0 zenon_H2c9 zenon_H23 zenon_H24 zenon_Hda zenon_Hd3 zenon_Hde zenon_Hcb zenon_Haf zenon_Hcf zenon_Hc8 zenon_Hb8 zenon_Hc2 zenon_H10e zenon_H2e0 zenon_H8c zenon_H19 zenon_H2d1 zenon_H7d zenon_H42 zenon_H35 zenon_H90 zenon_H3d zenon_H45 zenon_H46 zenon_H33 zenon_Hf8 zenon_H125 zenon_H7c zenon_H33a zenon_H2ce zenon_H49 zenon_H54 zenon_H66 zenon_H65 zenon_H72 zenon_H305 zenon_Ha2 zenon_H2be zenon_H31e zenon_H2d4 zenon_H1b zenon_H105 zenon_H3b zenon_H2ba zenon_H10b zenon_H129 zenon_H2c zenon_H1c zenon_Hab.
% 51.29/51.50 apply (zenon_or_s _ _ zenon_H341); [ zenon_intro zenon_H34 | zenon_intro zenon_H342 ].
% 51.29/51.50 apply (zenon_L315_); trivial.
% 51.29/51.50 apply (zenon_or_s _ _ zenon_H342); [ zenon_intro zenon_H2c6 | zenon_intro zenon_H343 ].
% 51.29/51.50 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H41 | zenon_intro zenon_Hf9 ].
% 51.29/51.50 apply (zenon_L12_); trivial.
% 51.29/51.50 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H47 | zenon_intro zenon_Hfa ].
% 51.29/51.50 apply (zenon_L299_); trivial.
% 51.29/51.50 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H51 ].
% 51.29/51.50 apply (zenon_L465_); trivial.
% 51.29/51.50 apply (zenon_or_s _ _ zenon_H31e); [ zenon_intro zenon_H2bf | zenon_intro zenon_H31f ].
% 51.29/51.50 apply (zenon_L282_); trivial.
% 51.29/51.50 apply (zenon_or_s _ _ zenon_H31f); [ zenon_intro zenon_H12b | zenon_intro zenon_H320 ].
% 51.29/51.50 apply (zenon_L331_); trivial.
% 51.29/51.50 apply (zenon_or_s _ _ zenon_H320); [ zenon_intro zenon_H304 | zenon_intro zenon_Hf1 ].
% 51.29/51.50 apply (zenon_L334_); trivial.
% 51.29/51.50 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H4e | zenon_intro zenon_H91 ].
% 51.29/51.50 apply (zenon_L16_); trivial.
% 51.29/51.50 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H50 | zenon_intro zenon_H92 ].
% 51.29/51.50 apply (zenon_L17_); trivial.
% 51.29/51.50 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H62 | zenon_intro zenon_H8b ].
% 51.29/51.50 apply (zenon_L483_); trivial.
% 51.29/51.50 apply (zenon_L24_); trivial.
% 51.29/51.50 apply (zenon_or_s _ _ zenon_H343); [ zenon_intro zenon_H12b | zenon_intro zenon_Haa ].
% 51.29/51.50 apply (zenon_L480_); trivial.
% 51.29/51.50 apply (zenon_L34_); trivial.
% 51.29/51.50 (* end of lemma zenon_L493_ *)
% 51.29/51.50 assert (zenon_L494_ : (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((op1 (e10) (e10)) = (e11)) -> (~((op1 (e10) (e10)) = (op1 (e10) (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)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e13) (e10)) = (e13)) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e10)) = (e12)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((op1 (e11) (e10)) = (e10)) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((e11) = (e13))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e12))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((e10) = (e11))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> False).
% 51.29/51.50 do 0 intro. intros zenon_H318 zenon_H2ff zenon_Hec zenon_H327 zenon_Hf0 zenon_Hf3 zenon_H345 zenon_H33e zenon_Hf6 zenon_H2b zenon_Hfe zenon_He1 zenon_Hab zenon_H1c zenon_H2c zenon_H10b zenon_H2ba zenon_H3b zenon_H105 zenon_H1b zenon_H2d4 zenon_H31e zenon_H2be zenon_Ha2 zenon_H305 zenon_H72 zenon_H65 zenon_H66 zenon_H49 zenon_H2ce zenon_H33a zenon_H7c zenon_H125 zenon_Hf8 zenon_H33 zenon_H46 zenon_H45 zenon_H3d zenon_H90 zenon_H35 zenon_H42 zenon_H7d zenon_H2d1 zenon_H8c zenon_H2e0 zenon_H10e zenon_Hc2 zenon_Hb8 zenon_Hc8 zenon_Hcf zenon_Haf zenon_Hcb zenon_Hde zenon_Hd3 zenon_Hda zenon_H24 zenon_H23 zenon_H2c9 zenon_Hb0 zenon_H2db zenon_H2c5 zenon_H2e1 zenon_H95 zenon_H9e zenon_H4b zenon_Hb5 zenon_H341 zenon_H54 zenon_H19.
% 51.29/51.50 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H108 | zenon_intro zenon_H319 ].
% 51.29/51.50 apply (zenon_L74_); trivial.
% 51.29/51.50 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H30b | zenon_intro zenon_H31a ].
% 51.29/51.50 apply (zenon_L492_); trivial.
% 51.29/51.50 apply (zenon_or_s _ _ zenon_H31a); [ zenon_intro zenon_H129 | zenon_intro zenon_Ha5 ].
% 51.29/51.50 apply (zenon_L493_); trivial.
% 51.29/51.50 apply (zenon_L33_); trivial.
% 51.29/51.50 (* end of lemma zenon_L494_ *)
% 51.29/51.50 assert (zenon_L495_ : (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((op1 (e10) (e10)) = (e11)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (e10)) = (e11)) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> ((op2 (e20) (e22)) = (e21)) -> ((h4 (e11)) = (op2 (e23) (e23))) -> (~((h4 (op1 (e10) (e12))) = (op2 (h4 (e10)) (h4 (e12))))) -> ((op1 (e11) (e12)) = (e10)) -> (~((e10) = (e11))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e10) = (e13))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op1 (e10) (e11)) = (e13)) -> ((op1 (e11) (e11)) = (e12)) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((op1 (e12) (e10)) = (e12)) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> False).
% 51.29/51.50 do 0 intro. intros zenon_Hf8 zenon_H45 zenon_H2ba zenon_H3b zenon_H105 zenon_H1b zenon_H2d4 zenon_Hcf zenon_Hb0 zenon_H9e zenon_H95 zenon_Hab zenon_Haf zenon_H4b zenon_Hb5 zenon_Hc2 zenon_Hb8 zenon_Hc8 zenon_Hcb zenon_H3d zenon_H128 zenon_H108 zenon_H345 zenon_H15e zenon_H349 zenon_H14 zenon_H13 zenon_H14e zenon_H293 zenon_H2e7 zenon_H34c zenon_H126 zenon_H8c zenon_H2d1 zenon_H7d zenon_H42 zenon_H35 zenon_H90 zenon_H46 zenon_H2c6 zenon_H1c zenon_H7c zenon_H2c zenon_H33a zenon_H2ce zenon_H49 zenon_H54 zenon_H66 zenon_H65 zenon_H72 zenon_H305 zenon_Ha2 zenon_H2be zenon_H31e zenon_Hec zenon_H19.
% 51.29/51.50 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H41 | zenon_intro zenon_Hf9 ].
% 51.29/51.50 apply (zenon_L328_); trivial.
% 51.29/51.50 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H47 | zenon_intro zenon_Hfa ].
% 51.29/51.50 apply (zenon_L299_); trivial.
% 51.29/51.50 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H51 ].
% 51.29/51.50 apply (zenon_L489_); trivial.
% 51.29/51.50 apply (zenon_or_s _ _ zenon_H345); [ zenon_intro zenon_H11a | zenon_intro zenon_H346 ].
% 51.29/51.50 apply (zenon_L488_); trivial.
% 51.29/51.50 apply (zenon_or_s _ _ zenon_H346); [ zenon_intro zenon_H129 | zenon_intro zenon_H347 ].
% 51.29/51.50 apply (zenon_L359_); trivial.
% 51.29/51.50 apply (zenon_or_s _ _ zenon_H347); [ zenon_intro zenon_H335 | zenon_intro zenon_Hed ].
% 51.29/51.50 apply (zenon_L475_); trivial.
% 51.29/51.50 apply (zenon_L63_); trivial.
% 51.29/51.50 (* end of lemma zenon_L495_ *)
% 51.29/51.50 assert (zenon_L496_ : (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e13) (e10)) = (e13)) -> ((op1 (e11) (e12)) = (e10)) -> (~((e10) = (e11))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((op1 (e10) (e11)) = (e13)) -> ((op1 (e11) (e11)) = (e12)) -> ((op1 (e12) (e10)) = (e12)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e11)) = (e11)) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((e12) = (e13))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((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))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> ((op1 (e10) (e10)) = (e11)) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e12))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> False).
% 51.29/51.50 do 0 intro. intros zenon_H33e zenon_H10b zenon_H2c9 zenon_H66 zenon_H126 zenon_H8c zenon_H1c zenon_Hc2 zenon_H327 zenon_H2d1 zenon_H46 zenon_H2c6 zenon_H7c zenon_H33a zenon_H2ce zenon_H72 zenon_Ha2 zenon_H2be zenon_H31e zenon_Hb0 zenon_Hda zenon_H49 zenon_Hea zenon_H41 zenon_He1 zenon_H54 zenon_Hab zenon_H2c zenon_Haf zenon_H30b zenon_H31b zenon_H113 zenon_H4b zenon_Hf8 zenon_Hb5 zenon_H45 zenon_Hcb zenon_Hf0 zenon_Hec zenon_Hf3 zenon_Hc8 zenon_Hb8 zenon_H7d zenon_Hcf zenon_H2e0 zenon_Hf6 zenon_H3b zenon_Hfb zenon_H314 zenon_H30d zenon_H2d4 zenon_H1b zenon_H2ba zenon_H2ff zenon_H311 zenon_H123 zenon_H10e zenon_H95 zenon_H305 zenon_H318 zenon_H90 zenon_H35 zenon_H42 zenon_Hd3 zenon_H65 zenon_Hde zenon_H3d zenon_H9e zenon_H19.
% 51.29/51.50 apply (zenon_or_s _ _ zenon_H33e); [ zenon_intro zenon_H10a | zenon_intro zenon_H33f ].
% 51.29/51.50 apply (zenon_L75_); trivial.
% 51.29/51.50 apply (zenon_or_s _ _ zenon_H33f); [ zenon_intro zenon_H330 | zenon_intro zenon_H340 ].
% 51.29/51.50 apply (zenon_or_s _ _ zenon_H31e); [ zenon_intro zenon_H2bf | zenon_intro zenon_H31f ].
% 51.29/51.50 apply (zenon_L282_); trivial.
% 51.29/51.50 apply (zenon_or_s _ _ zenon_H31f); [ zenon_intro zenon_H12b | zenon_intro zenon_H320 ].
% 51.29/51.50 apply (zenon_L454_); trivial.
% 51.29/51.50 apply (zenon_or_s _ _ zenon_H320); [ zenon_intro zenon_H304 | zenon_intro zenon_Hf1 ].
% 51.29/51.50 apply (zenon_L334_); trivial.
% 51.29/51.50 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hc9 ].
% 51.29/51.50 apply (zenon_L39_); trivial.
% 51.29/51.50 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hca ].
% 51.29/51.50 apply (zenon_L439_); trivial.
% 51.29/51.50 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H8b ].
% 51.29/51.50 apply (zenon_L41_); trivial.
% 51.29/51.50 apply (zenon_L24_); trivial.
% 51.29/51.50 apply (zenon_or_s _ _ zenon_H340); [ zenon_intro zenon_H335 | zenon_intro zenon_H33b ].
% 51.29/51.50 apply (zenon_L451_); trivial.
% 51.29/51.50 apply (zenon_L452_); trivial.
% 51.29/51.50 (* end of lemma zenon_L496_ *)
% 51.29/51.50 assert (zenon_L497_ : (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((e11) = (e13))) -> ((op1 (e11) (e11)) = (e11)) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((e12) = (e13))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> ((op1 (e10) (e10)) = (e11)) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e11)) = (e13)) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((op1 (e13) (e10)) = (e13)) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((e11) = (e12))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e11) (e12)) = (e10)) -> (~((e10) = (e11))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e10) = (e12))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op1 (e10) (e13)) = (e12)) -> ((op1 (e12) (e10)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> False).
% 51.29/51.50 do 0 intro. intros zenon_H341 zenon_H23 zenon_H2db zenon_H105 zenon_H125 zenon_H24 zenon_H2c5 zenon_Hff zenon_H9e zenon_H3d zenon_H30b zenon_H31b zenon_H113 zenon_H4b zenon_Hf8 zenon_Hb0 zenon_Hea zenon_Hb5 zenon_H45 zenon_Hcb zenon_Hf0 zenon_Hec zenon_Hf3 zenon_H7d zenon_Hcf zenon_H2e0 zenon_Hf6 zenon_H3b zenon_Hfb zenon_H314 zenon_H30d zenon_H2d4 zenon_H1b zenon_Haf zenon_H311 zenon_H123 zenon_H10e zenon_H95 zenon_H305 zenon_H318 zenon_H90 zenon_H42 zenon_Hda zenon_Hd3 zenon_He1 zenon_H54 zenon_H65 zenon_Hde zenon_H31e zenon_H2be zenon_H72 zenon_H2ce zenon_H33a zenon_H46 zenon_H2d1 zenon_H66 zenon_H2c9 zenon_H10b zenon_H33e zenon_H345 zenon_H327 zenon_H126 zenon_H8c zenon_H19 zenon_Hc2 zenon_H35 zenon_Hb8 zenon_Hc8 zenon_H49 zenon_H7c zenon_H2ff zenon_Ha2 zenon_H2ba zenon_H2e1 zenon_H2c zenon_H1c zenon_Hab.
% 51.29/51.50 apply (zenon_or_s _ _ zenon_H341); [ zenon_intro zenon_H34 | zenon_intro zenon_H342 ].
% 51.29/51.50 apply (zenon_L325_); trivial.
% 51.29/51.50 apply (zenon_or_s _ _ zenon_H342); [ zenon_intro zenon_H2c6 | zenon_intro zenon_H343 ].
% 51.29/51.50 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H41 | zenon_intro zenon_Hf9 ].
% 51.29/51.50 apply (zenon_L496_); trivial.
% 51.29/51.50 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H47 | zenon_intro zenon_Hfa ].
% 51.29/51.50 apply (zenon_L13_); trivial.
% 51.29/51.50 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H51 ].
% 51.29/51.50 apply (zenon_L471_); trivial.
% 51.29/51.50 apply (zenon_or_s _ _ zenon_H33e); [ zenon_intro zenon_H10a | zenon_intro zenon_H33f ].
% 51.29/51.50 apply (zenon_L75_); trivial.
% 51.29/51.50 apply (zenon_or_s _ _ zenon_H33f); [ zenon_intro zenon_H330 | zenon_intro zenon_H340 ].
% 51.29/51.50 apply (zenon_L491_); trivial.
% 51.29/51.50 apply (zenon_or_s _ _ zenon_H340); [ zenon_intro zenon_H335 | zenon_intro zenon_H33b ].
% 51.29/51.50 apply (zenon_L477_); trivial.
% 51.29/51.50 apply (zenon_L452_); trivial.
% 51.29/51.50 apply (zenon_or_s _ _ zenon_H343); [ zenon_intro zenon_H12b | zenon_intro zenon_Haa ].
% 51.29/51.50 apply (zenon_L333_); trivial.
% 51.29/51.50 apply (zenon_L34_); trivial.
% 51.29/51.50 (* end of lemma zenon_L497_ *)
% 51.29/51.50 assert (zenon_L498_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((h4 (op1 (e10) (e12))) = (op2 (h4 (e10)) (h4 (e12))))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((op2 (e20) (e22)) = (e21)) -> ((e21) = (op2 (e23) (e23))) -> ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (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))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (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)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e13))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> False).
% 51.29/51.50 do 0 intro. intros zenon_H13b zenon_H34c zenon_H2e7 zenon_H293 zenon_H14e zenon_H13 zenon_H14 zenon_H349 zenon_H15e zenon_H2db zenon_H324 zenon_H2e1 zenon_H2ba zenon_H2ff zenon_H2ce zenon_H2e0 zenon_H318 zenon_H327 zenon_H32a zenon_H31b zenon_H2be zenon_H31e zenon_H341 zenon_H2c5 zenon_H33a zenon_H2d1 zenon_H2c9 zenon_H33e zenon_H345 zenon_H2d4 zenon_H314 zenon_H30d zenon_H311 zenon_H305 zenon_H1b zenon_H19 zenon_Hb8 zenon_H136 zenon_Hc8 zenon_Hea zenon_Hcf zenon_Hfb zenon_Ha2 zenon_H65 zenon_H95 zenon_H45 zenon_Hf8 zenon_Hff zenon_H113 zenon_H123 zenon_H131 zenon_H125 zenon_H128 zenon_H3d zenon_He1 zenon_H12c zenon_H9e zenon_H42 zenon_H4b zenon_Hb5 zenon_Hf3 zenon_Hc2 zenon_Hec zenon_Hf0 zenon_Hcb zenon_H90 zenon_H10b zenon_H2b zenon_Hfe zenon_H105 zenon_H117 zenon_H8c zenon_Haf zenon_H72 zenon_H7d zenon_H10e zenon_H54 zenon_Hf6 zenon_Hb0 zenon_H24 zenon_H135 zenon_Hde zenon_H35 zenon_Hab zenon_Hd3 zenon_H2c zenon_H1c zenon_Hda.
% 51.29/51.50 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H23 | zenon_intro zenon_H13e ].
% 51.29/51.50 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H3b | zenon_intro zenon_H139 ].
% 51.29/51.50 apply (zenon_or_s _ _ zenon_H32a); [ zenon_intro zenon_H2d | zenon_intro zenon_H32b ].
% 51.29/51.50 apply (zenon_L7_); trivial.
% 51.29/51.50 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H2bb | zenon_intro zenon_H32c ].
% 51.29/51.50 apply (zenon_L281_); trivial.
% 51.29/51.50 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H2bf | zenon_intro zenon_H49 ].
% 51.29/51.50 apply (zenon_L282_); trivial.
% 51.29/51.50 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ].
% 51.29/51.50 apply (zenon_L7_); trivial.
% 51.29/51.50 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_H34 | zenon_intro zenon_H101 ].
% 51.29/51.50 apply (zenon_L325_); trivial.
% 51.29/51.50 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_H7c | zenon_intro zenon_He8 ].
% 51.29/51.50 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H3c | zenon_intro zenon_H102 ].
% 51.29/51.50 apply (zenon_L11_); trivial.
% 51.29/51.50 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_H46 | zenon_intro zenon_H103 ].
% 51.29/51.50 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hfc ].
% 51.29/51.50 apply (zenon_L11_); trivial.
% 51.29/51.50 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H41 | zenon_intro zenon_Hfd ].
% 51.29/51.50 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H33 | zenon_intro zenon_H2e2 ].
% 51.29/51.50 apply (zenon_L12_); trivial.
% 51.29/51.50 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2e3 ].
% 51.29/51.50 apply (zenon_L283_); trivial.
% 51.29/51.50 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H126 | zenon_intro zenon_H50 ].
% 51.29/51.50 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H108 | zenon_intro zenon_H319 ].
% 51.29/51.50 apply (zenon_L328_); trivial.
% 51.29/51.50 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H30b | zenon_intro zenon_H31a ].
% 51.29/51.50 apply (zenon_L455_); trivial.
% 51.29/51.50 apply (zenon_or_s _ _ zenon_H31a); [ zenon_intro zenon_H129 | zenon_intro zenon_Ha5 ].
% 51.29/51.50 apply (zenon_L359_); trivial.
% 51.29/51.50 apply (zenon_L33_); trivial.
% 51.29/51.50 apply (zenon_L369_); trivial.
% 51.29/51.50 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_He2 | zenon_intro zenon_H66 ].
% 51.29/51.50 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H33 | zenon_intro zenon_H2e2 ].
% 51.29/51.50 apply (zenon_L486_); trivial.
% 51.29/51.50 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2e3 ].
% 51.29/51.50 apply (zenon_L283_); trivial.
% 51.29/51.50 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H126 | zenon_intro zenon_H50 ].
% 51.29/51.50 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H108 | zenon_intro zenon_H319 ].
% 51.29/51.50 apply (zenon_or_s _ _ zenon_H341); [ zenon_intro zenon_H34 | zenon_intro zenon_H342 ].
% 51.29/51.50 apply (zenon_L99_); trivial.
% 51.29/51.50 apply (zenon_or_s _ _ zenon_H342); [ zenon_intro zenon_H2c6 | zenon_intro zenon_H343 ].
% 51.29/51.50 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H41 | zenon_intro zenon_Hf9 ].
% 51.29/51.50 apply (zenon_L328_); trivial.
% 51.29/51.50 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H47 | zenon_intro zenon_Hfa ].
% 51.29/51.50 apply (zenon_L299_); trivial.
% 51.29/51.50 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H51 ].
% 51.29/51.50 apply (zenon_L489_); trivial.
% 51.29/51.50 apply (zenon_or_s _ _ zenon_H345); [ zenon_intro zenon_H11a | zenon_intro zenon_H346 ].
% 51.29/51.50 apply (zenon_L488_); trivial.
% 51.29/51.50 apply (zenon_or_s _ _ zenon_H346); [ zenon_intro zenon_H129 | zenon_intro zenon_H347 ].
% 51.29/51.50 apply (zenon_L359_); trivial.
% 51.29/51.50 apply (zenon_or_s _ _ zenon_H347); [ zenon_intro zenon_H335 | zenon_intro zenon_Hed ].
% 51.29/51.50 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hc9 ].
% 51.29/51.50 apply (zenon_L39_); trivial.
% 51.29/51.50 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hca ].
% 51.29/51.50 apply (zenon_L490_); trivial.
% 51.29/51.50 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H8b ].
% 51.29/51.50 apply (zenon_L41_); trivial.
% 51.29/51.50 apply (zenon_L24_); trivial.
% 51.29/51.50 apply (zenon_L63_); trivial.
% 51.29/51.50 apply (zenon_or_s _ _ zenon_H343); [ zenon_intro zenon_H12b | zenon_intro zenon_Haa ].
% 51.29/51.50 apply (zenon_L454_); trivial.
% 51.29/51.50 apply (zenon_L34_); trivial.
% 51.29/51.50 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H30b | zenon_intro zenon_H31a ].
% 51.29/51.50 apply (zenon_L479_); trivial.
% 51.29/51.50 apply (zenon_or_s _ _ zenon_H31a); [ zenon_intro zenon_H129 | zenon_intro zenon_Ha5 ].
% 51.29/51.50 apply (zenon_L359_); trivial.
% 51.29/51.50 apply (zenon_L33_); trivial.
% 51.29/51.50 apply (zenon_L377_); trivial.
% 51.29/51.50 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H33 | zenon_intro zenon_H2e2 ].
% 51.29/51.50 apply (zenon_L494_); trivial.
% 51.29/51.50 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2e3 ].
% 51.29/51.50 apply (zenon_L283_); trivial.
% 51.29/51.50 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H126 | zenon_intro zenon_H50 ].
% 51.29/51.50 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H108 | zenon_intro zenon_H319 ].
% 51.29/51.50 apply (zenon_or_s _ _ zenon_H341); [ zenon_intro zenon_H34 | zenon_intro zenon_H342 ].
% 51.29/51.50 apply (zenon_L99_); trivial.
% 51.29/51.50 apply (zenon_or_s _ _ zenon_H342); [ zenon_intro zenon_H2c6 | zenon_intro zenon_H343 ].
% 51.29/51.50 apply (zenon_L495_); trivial.
% 51.29/51.50 apply (zenon_or_s _ _ zenon_H343); [ zenon_intro zenon_H12b | zenon_intro zenon_Haa ].
% 51.29/51.50 apply (zenon_L333_); trivial.
% 51.29/51.50 apply (zenon_L34_); trivial.
% 51.29/51.50 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H30b | zenon_intro zenon_H31a ].
% 51.29/51.50 apply (zenon_L497_); trivial.
% 51.29/51.50 apply (zenon_or_s _ _ zenon_H31a); [ zenon_intro zenon_H129 | zenon_intro zenon_Ha5 ].
% 51.29/51.50 apply (zenon_L359_); trivial.
% 51.29/51.50 apply (zenon_L33_); trivial.
% 51.29/51.50 apply (zenon_L377_); trivial.
% 51.29/51.50 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_He6 | zenon_intro zenon_H4a ].
% 51.29/51.50 apply (zenon_L378_); trivial.
% 51.29/51.50 apply (zenon_L335_); trivial.
% 51.29/51.50 apply (zenon_L384_); trivial.
% 51.29/51.50 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H104 | zenon_intro zenon_H13a ].
% 51.29/51.50 apply (zenon_L426_); trivial.
% 51.29/51.50 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H11a | zenon_intro zenon_H11c ].
% 51.29/51.50 apply (zenon_L488_); trivial.
% 51.29/51.50 apply (zenon_L85_); trivial.
% 51.29/51.50 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H1d | zenon_intro zenon_H14b ].
% 51.29/51.50 apply (zenon_L4_); trivial.
% 51.29/51.50 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H22 | zenon_intro zenon_H4e ].
% 51.29/51.50 apply (zenon_L109_); trivial.
% 51.29/51.50 apply (zenon_L47_); trivial.
% 51.29/51.50 (* end of lemma zenon_L498_ *)
% 51.29/51.50 assert (zenon_L499_ : (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((h4 (op1 (e10) (e13))) = (op2 (h4 (e10)) (h4 (e13))))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e13)) = (e23)) -> ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) -> False).
% 51.29/51.50 do 0 intro. intros zenon_H32a zenon_H2b zenon_H2ba zenon_H1c zenon_H2c zenon_H2be zenon_H357 zenon_H349 zenon_H2ea zenon_H13.
% 51.29/51.50 apply (zenon_or_s _ _ zenon_H32a); [ zenon_intro zenon_H2d | zenon_intro zenon_H32b ].
% 51.29/51.50 apply (zenon_L7_); trivial.
% 51.29/51.50 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H2bb | zenon_intro zenon_H32c ].
% 51.29/51.50 apply (zenon_L281_); trivial.
% 51.29/51.50 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H2bf | zenon_intro zenon_H49 ].
% 51.29/51.50 apply (zenon_L282_); trivial.
% 51.29/51.50 cut (((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) = ((h4 (op1 (e10) (e13))) = (op2 (h4 (e10)) (h4 (e13))))).
% 51.29/51.50 intro zenon_D_pnotp.
% 51.29/51.50 apply zenon_H357.
% 51.29/51.50 rewrite <- zenon_D_pnotp.
% 51.29/51.50 exact zenon_H349.
% 51.29/51.50 cut (((op2 (op2 (e23) (op2 (e23) (e23))) (e23)) = (op2 (h4 (e10)) (h4 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H358].
% 51.29/51.50 cut (((h4 (e12)) = (h4 (op1 (e10) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H359].
% 51.29/51.50 congruence.
% 51.29/51.50 elim (classic ((h4 (op1 (e10) (e13))) = (h4 (op1 (e10) (e13))))); [ zenon_intro zenon_H35a | zenon_intro zenon_H35b ].
% 51.29/51.50 cut (((h4 (op1 (e10) (e13))) = (h4 (op1 (e10) (e13)))) = ((h4 (e12)) = (h4 (op1 (e10) (e13))))).
% 51.29/51.50 intro zenon_D_pnotp.
% 51.29/51.50 apply zenon_H359.
% 51.29/51.50 rewrite <- zenon_D_pnotp.
% 51.29/51.50 exact zenon_H35a.
% 51.29/51.50 cut (((h4 (op1 (e10) (e13))) = (h4 (op1 (e10) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H35b].
% 51.29/51.50 cut (((h4 (op1 (e10) (e13))) = (h4 (e12)))); [idtac | apply NNPP; zenon_intro zenon_H35c].
% 51.29/51.50 congruence.
% 51.29/51.50 cut (((op1 (e10) (e13)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H4f].
% 51.29/51.50 congruence.
% 51.29/51.50 exact (zenon_H4f zenon_H49).
% 51.29/51.50 apply zenon_H35b. apply refl_equal.
% 51.29/51.50 apply zenon_H35b. apply refl_equal.
% 51.29/51.50 cut (((e23) = (h4 (e13)))); [idtac | apply NNPP; zenon_intro zenon_H35d].
% 51.29/51.50 cut (((op2 (e23) (op2 (e23) (e23))) = (h4 (e10)))); [idtac | apply NNPP; zenon_intro zenon_H35e].
% 51.29/51.50 congruence.
% 51.29/51.50 apply zenon_H35e. apply sym_equal. exact zenon_H13.
% 51.29/51.50 apply zenon_H35d. apply sym_equal. exact zenon_H2ea.
% 51.29/51.50 (* end of lemma zenon_L499_ *)
% 51.29/51.50 assert (zenon_L500_ : (~((h4 (op1 (e11) (e10))) = (op2 (h4 (e11)) (h4 (e10))))) -> ((op1 (e11) (e10)) = (e11)) -> ((op2 (e21) (e20)) = (e21)) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((e21) = (op2 (e23) (e23))) -> ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> False).
% 51.29/51.50 do 0 intro. intros zenon_H35f zenon_H108 zenon_H280 zenon_H2e7 zenon_H14e zenon_H13 zenon_H14.
% 51.29/51.50 cut (((h4 (e11)) = (op2 (e23) (e23))) = ((h4 (op1 (e11) (e10))) = (op2 (h4 (e11)) (h4 (e10))))).
% 51.29/51.50 intro zenon_D_pnotp.
% 51.29/51.50 apply zenon_H35f.
% 51.29/51.50 rewrite <- zenon_D_pnotp.
% 51.29/51.50 exact zenon_H2e7.
% 51.29/51.50 cut (((op2 (e23) (e23)) = (op2 (h4 (e11)) (h4 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H360].
% 51.29/51.50 cut (((h4 (e11)) = (h4 (op1 (e11) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H361].
% 51.29/51.50 congruence.
% 51.29/51.50 elim (classic ((h4 (op1 (e11) (e10))) = (h4 (op1 (e11) (e10))))); [ zenon_intro zenon_H362 | zenon_intro zenon_H363 ].
% 51.29/51.50 cut (((h4 (op1 (e11) (e10))) = (h4 (op1 (e11) (e10)))) = ((h4 (e11)) = (h4 (op1 (e11) (e10))))).
% 51.29/51.50 intro zenon_D_pnotp.
% 51.29/51.50 apply zenon_H361.
% 51.29/51.50 rewrite <- zenon_D_pnotp.
% 51.29/51.50 exact zenon_H362.
% 51.29/51.50 cut (((h4 (op1 (e11) (e10))) = (h4 (op1 (e11) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H363].
% 51.29/51.50 cut (((h4 (op1 (e11) (e10))) = (h4 (e11)))); [idtac | apply NNPP; zenon_intro zenon_H364].
% 51.29/51.50 congruence.
% 51.29/51.50 cut (((op1 (e11) (e10)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H109].
% 51.29/51.50 congruence.
% 51.29/51.50 exact (zenon_H109 zenon_H108).
% 51.29/51.50 apply zenon_H363. apply refl_equal.
% 51.29/51.50 apply zenon_H363. apply refl_equal.
% 51.29/51.50 elim (classic ((op2 (h4 (e11)) (h4 (e10))) = (op2 (h4 (e11)) (h4 (e10))))); [ zenon_intro zenon_H365 | zenon_intro zenon_H366 ].
% 51.29/51.50 cut (((op2 (h4 (e11)) (h4 (e10))) = (op2 (h4 (e11)) (h4 (e10)))) = ((op2 (e23) (e23)) = (op2 (h4 (e11)) (h4 (e10))))).
% 51.29/51.50 intro zenon_D_pnotp.
% 51.29/51.50 apply zenon_H360.
% 51.29/51.50 rewrite <- zenon_D_pnotp.
% 51.29/51.50 exact zenon_H365.
% 51.29/51.50 cut (((op2 (h4 (e11)) (h4 (e10))) = (op2 (h4 (e11)) (h4 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H366].
% 51.29/51.50 cut (((op2 (h4 (e11)) (h4 (e10))) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H367].
% 51.29/51.50 congruence.
% 51.29/51.50 cut (((op2 (e21) (e20)) = (e21)) = ((op2 (h4 (e11)) (h4 (e10))) = (op2 (e23) (e23)))).
% 51.29/51.50 intro zenon_D_pnotp.
% 51.29/51.50 apply zenon_H367.
% 51.29/51.50 rewrite <- zenon_D_pnotp.
% 51.29/51.50 exact zenon_H280.
% 51.29/51.50 cut (((e21) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H243].
% 51.29/51.50 cut (((op2 (e21) (e20)) = (op2 (h4 (e11)) (h4 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H368].
% 51.29/51.50 congruence.
% 51.29/51.50 elim (classic ((op2 (h4 (e11)) (h4 (e10))) = (op2 (h4 (e11)) (h4 (e10))))); [ zenon_intro zenon_H365 | zenon_intro zenon_H366 ].
% 51.29/51.50 cut (((op2 (h4 (e11)) (h4 (e10))) = (op2 (h4 (e11)) (h4 (e10)))) = ((op2 (e21) (e20)) = (op2 (h4 (e11)) (h4 (e10))))).
% 51.29/51.50 intro zenon_D_pnotp.
% 51.29/51.50 apply zenon_H368.
% 51.29/51.50 rewrite <- zenon_D_pnotp.
% 51.29/51.50 exact zenon_H365.
% 51.29/51.50 cut (((op2 (h4 (e11)) (h4 (e10))) = (op2 (h4 (e11)) (h4 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H366].
% 51.29/51.50 cut (((op2 (h4 (e11)) (h4 (e10))) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H369].
% 51.29/51.50 congruence.
% 51.29/51.50 cut (((h4 (e10)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H12].
% 51.29/51.50 cut (((h4 (e11)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H2e6].
% 51.29/51.50 congruence.
% 51.29/51.50 apply (zenon_L326_); trivial.
% 51.29/51.50 apply (zenon_L1_); trivial.
% 51.29/51.50 apply zenon_H366. apply refl_equal.
% 51.29/51.50 apply zenon_H366. apply refl_equal.
% 51.29/51.50 exact (zenon_H243 zenon_H14e).
% 51.29/51.50 apply zenon_H366. apply refl_equal.
% 51.29/51.50 apply zenon_H366. apply refl_equal.
% 51.29/51.50 (* end of lemma zenon_L500_ *)
% 51.29/51.50 assert (zenon_L501_ : (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((op1 (e11) (e12)) = (e10)) -> (~((e10) = (e12))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((op1 (e10) (e11)) = (e13)) -> ((op1 (e12) (e10)) = (e12)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((e12) = (e13))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((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))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> ((op1 (e10) (e10)) = (e11)) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e10) (e10)) = (e10)) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> False).
% 51.29/51.50 do 0 intro. intros zenon_Hab zenon_H1c zenon_H2c zenon_H126 zenon_H35 zenon_H33e zenon_H10b zenon_H2c9 zenon_H2e1 zenon_H8c zenon_Hc2 zenon_H327 zenon_H2d1 zenon_H46 zenon_H7c zenon_H33a zenon_H2ce zenon_H72 zenon_Ha2 zenon_H2be zenon_H31e zenon_Hb0 zenon_Hda zenon_H49 zenon_Hea zenon_H41 zenon_He1 zenon_Haf zenon_H31b zenon_H113 zenon_H4b zenon_Hf8 zenon_Hb5 zenon_H45 zenon_Hcb zenon_Hf0 zenon_Hec zenon_Hf3 zenon_Hc8 zenon_Hb8 zenon_H7d zenon_Hcf zenon_H2e0 zenon_Hf6 zenon_H3b zenon_Hfb zenon_H314 zenon_H30d zenon_H2d4 zenon_H1b zenon_H2ba zenon_H2ff zenon_H311 zenon_H123 zenon_H10e zenon_H95 zenon_H305 zenon_H318 zenon_H90 zenon_H42 zenon_Hd3 zenon_H65 zenon_Hde zenon_H3d zenon_H9e zenon_Hff zenon_H2c5 zenon_H24 zenon_H105 zenon_H2db zenon_H23 zenon_H341 zenon_H11a zenon_H125 zenon_H54 zenon_H19.
% 51.29/51.51 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H108 | zenon_intro zenon_H319 ].
% 51.29/51.51 apply (zenon_L328_); trivial.
% 51.29/51.51 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H30b | zenon_intro zenon_H31a ].
% 51.29/51.51 apply (zenon_L455_); trivial.
% 51.29/51.51 apply (zenon_or_s _ _ zenon_H31a); [ zenon_intro zenon_H129 | zenon_intro zenon_Ha5 ].
% 51.29/51.51 apply (zenon_L482_); trivial.
% 51.29/51.51 apply (zenon_L33_); trivial.
% 51.29/51.51 (* end of lemma zenon_L501_ *)
% 51.29/51.51 assert (zenon_L502_ : (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e10) (e12)) = (e11)) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e10)) = (e13)) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e11)) = (e13)) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((e11) = (e12))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e10)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((op1 (e10) (e10)) = (e11)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((e10) = (e11))) -> ((e11) = (op1 (e13) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e13))) -> False).
% 51.29/51.51 do 0 intro. intros zenon_H54 zenon_H125 zenon_H11a zenon_H341 zenon_H23 zenon_H2db zenon_H24 zenon_H2c5 zenon_Hff zenon_H90 zenon_H318 zenon_H10e zenon_H123 zenon_H311 zenon_H30d zenon_H314 zenon_Hfb zenon_Hf6 zenon_H2e0 zenon_H7d zenon_Hf3 zenon_Hec zenon_Hf0 zenon_H113 zenon_H31b zenon_Haf zenon_H41 zenon_Hb0 zenon_H72 zenon_H2ce zenon_H33a zenon_H46 zenon_H2d1 zenon_H327 zenon_H2c9 zenon_H10b zenon_H33e zenon_Hf8 zenon_H49 zenon_Hea zenon_He1 zenon_H7c zenon_H305 zenon_H2e1 zenon_H2ff zenon_H35 zenon_H2be zenon_H31e zenon_H45 zenon_H2ba zenon_H3b zenon_H105 zenon_H1b zenon_H2d4 zenon_H8c zenon_H19 zenon_H1c zenon_Hc2 zenon_Hde zenon_H3d zenon_Hcb zenon_Hb5 zenon_H4b zenon_Ha2 zenon_H9e zenon_H65 zenon_H95 zenon_Hcf zenon_Hab zenon_Hd3 zenon_H2c zenon_Hda zenon_Hb8 zenon_Hc8 zenon_H42.
% 51.29/51.51 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H33 | zenon_intro zenon_H2e2 ].
% 51.29/51.51 apply (zenon_L12_); trivial.
% 51.29/51.51 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2e3 ].
% 51.29/51.51 apply (zenon_L283_); trivial.
% 51.29/51.51 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H126 | zenon_intro zenon_H50 ].
% 51.29/51.51 apply (zenon_L501_); trivial.
% 51.29/51.51 apply (zenon_L377_); trivial.
% 51.29/51.51 (* end of lemma zenon_L502_ *)
% 51.29/51.51 assert (zenon_L503_ : (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((e11) = (e13))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((op1 (e11) (e10)) = (e12)) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e12))) -> ((op1 (e10) (e13)) = (e12)) -> (~((e10) = (e13))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e13) (e10)) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e10) (e12)) = (e11)) -> ((op1 (e12) (e11)) = (e12)) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> False).
% 51.29/51.51 do 0 intro. intros zenon_Hb5 zenon_H4b zenon_Haf zenon_H2c zenon_H1c zenon_Hab zenon_H95 zenon_H9e zenon_Ha2 zenon_Hb0 zenon_H3d zenon_Hf8 zenon_H34 zenon_H46 zenon_H45 zenon_Hde zenon_Hd3 zenon_Hda zenon_H90 zenon_H35 zenon_H49 zenon_H42 zenon_H72 zenon_H65 zenon_H66 zenon_H54 zenon_H2c9 zenon_H11a zenon_H2c8 zenon_H19 zenon_H8c.
% 51.29/51.51 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H41 | zenon_intro zenon_Hf9 ].
% 51.29/51.51 apply (zenon_L86_); trivial.
% 51.29/51.51 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H47 | zenon_intro zenon_Hfa ].
% 51.29/51.51 apply (zenon_L13_); trivial.
% 51.29/51.51 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H51 ].
% 51.29/51.51 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H4e | zenon_intro zenon_H91 ].
% 51.29/51.51 apply (zenon_L47_); trivial.
% 51.29/51.51 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H50 | zenon_intro zenon_H92 ].
% 51.29/51.51 apply (zenon_L314_); trivial.
% 51.29/51.51 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H62 | zenon_intro zenon_H8b ].
% 51.29/51.51 apply (zenon_L290_); trivial.
% 51.29/51.51 apply (zenon_L24_); trivial.
% 51.29/51.51 apply (zenon_L301_); trivial.
% 51.29/51.51 (* end of lemma zenon_L503_ *)
% 51.29/51.51 assert (zenon_L504_ : (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((e10) = (e13))) -> ((op1 (e10) (e13)) = (e12)) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((op1 (e10) (e11)) = (e13)) -> ((op1 (e11) (e10)) = (e12)) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((e11) = (e13))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e12))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> False).
% 51.29/51.51 do 0 intro. intros zenon_H2e1 zenon_H2ba zenon_H2c5 zenon_H11a zenon_H2c9 zenon_H54 zenon_H66 zenon_H65 zenon_H72 zenon_H42 zenon_H49 zenon_H90 zenon_Hda zenon_Hd3 zenon_Hde zenon_H45 zenon_H46 zenon_H34 zenon_Hf8 zenon_H3d zenon_Hb0 zenon_Ha2 zenon_H9e zenon_H95 zenon_Hab zenon_H2c zenon_Haf zenon_H4b zenon_Hb5 zenon_Hc8 zenon_Hb8 zenon_H35 zenon_Hc2 zenon_H1c zenon_H19 zenon_H8c.
% 51.29/51.51 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H2bb | zenon_intro zenon_H2e4 ].
% 51.29/51.51 apply (zenon_L281_); trivial.
% 51.29/51.51 apply (zenon_or_s _ _ zenon_H2e4); [ zenon_intro zenon_H2c6 | zenon_intro zenon_H2e5 ].
% 51.29/51.51 apply (zenon_L284_); trivial.
% 51.29/51.51 apply (zenon_or_s _ _ zenon_H2e5); [ zenon_intro zenon_H2c8 | zenon_intro zenon_H2de ].
% 51.29/51.51 apply (zenon_L503_); trivial.
% 51.29/51.51 apply (zenon_L309_); trivial.
% 51.29/51.51 (* end of lemma zenon_L504_ *)
% 51.29/51.51 assert (zenon_L505_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((op1 (e11) (e10)) = (e12)) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((e10) = (e11))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e10) = (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op1 (e11) (e12)) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e13))) -> ((e11) = (op1 (e13) (e13))) -> False).
% 51.29/51.51 do 0 intro. intros zenon_Hcf zenon_H35 zenon_Hb5 zenon_H4b zenon_Haf zenon_H2c zenon_Hab zenon_H95 zenon_H9e zenon_Ha2 zenon_Hb0 zenon_Hf8 zenon_H34 zenon_H46 zenon_H45 zenon_Hde zenon_Hd3 zenon_Hda zenon_H90 zenon_H49 zenon_H72 zenon_H65 zenon_H54 zenon_H2c9 zenon_H11a zenon_H2c5 zenon_H2ba zenon_H2e1 zenon_H8c zenon_H1c zenon_Hc2 zenon_H42 zenon_Hb8 zenon_Hc8 zenon_Ha3 zenon_Hcb zenon_H3d zenon_H19.
% 51.29/51.51 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H66 | zenon_intro zenon_Hd0 ].
% 51.29/51.51 apply (zenon_L504_); trivial.
% 51.29/51.51 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hd1 ].
% 51.29/51.51 apply (zenon_L42_); trivial.
% 51.29/51.51 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hb3 ].
% 51.29/51.51 apply (zenon_L43_); trivial.
% 51.29/51.51 apply (zenon_L37_); trivial.
% 51.29/51.51 (* end of lemma zenon_L505_ *)
% 51.29/51.51 assert (zenon_L506_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e12) (e13)) = (e10)) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e10) (e12)) = (e11)) -> ((op1 (e12) (e11)) = (e12)) -> (~((e10) = (e13))) -> ((op1 (e13) (e11)) = (e10)) -> (~((e10) = (e11))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e13)) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e11) = (e13))) -> ((e11) = (op1 (e13) (e13))) -> False).
% 51.29/51.51 do 0 intro. intros zenon_Hcf zenon_H72 zenon_H65 zenon_H62 zenon_H2c9 zenon_H11a zenon_H2c8 zenon_H42 zenon_Hbe zenon_H8c zenon_H1c zenon_Hc2 zenon_He1 zenon_H54 zenon_H51 zenon_H10a zenon_H10e zenon_H49 zenon_Hda zenon_Hb8 zenon_Hc8 zenon_H3d zenon_H19.
% 51.29/51.51 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H66 | zenon_intro zenon_Hd0 ].
% 51.29/51.51 apply (zenon_L289_); trivial.
% 51.29/51.51 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hd1 ].
% 51.29/51.51 apply (zenon_L40_); trivial.
% 51.29/51.51 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hb3 ].
% 51.29/51.51 apply (zenon_L344_); trivial.
% 51.29/51.51 apply (zenon_L37_); trivial.
% 51.29/51.51 (* end of lemma zenon_L506_ *)
% 51.29/51.51 assert (zenon_L507_ : (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e12))) -> (~((e11) = (e13))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e12) (e10)) = (e11)) -> ((op1 (e11) (e13)) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((op1 (e13) (e11)) = (e10)) -> (~((e10) = (e13))) -> ((op1 (e12) (e11)) = (e12)) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> False).
% 51.29/51.51 do 0 intro. intros zenon_H90 zenon_H35 zenon_H3d zenon_Hc8 zenon_Hb8 zenon_Hda zenon_H49 zenon_H10e zenon_H10a zenon_H51 zenon_H54 zenon_He1 zenon_Hc2 zenon_H1c zenon_Hbe zenon_H42 zenon_H2c8 zenon_H11a zenon_H2c9 zenon_H65 zenon_H72 zenon_Hcf zenon_H19 zenon_H8c.
% 51.29/51.51 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H4e | zenon_intro zenon_H91 ].
% 51.29/51.51 apply (zenon_L16_); trivial.
% 51.29/51.51 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H50 | zenon_intro zenon_H92 ].
% 51.29/51.51 apply (zenon_L17_); trivial.
% 51.29/51.51 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H62 | zenon_intro zenon_H8b ].
% 51.29/51.51 apply (zenon_L506_); trivial.
% 51.29/51.51 apply (zenon_L24_); trivial.
% 51.29/51.51 (* end of lemma zenon_L507_ *)
% 51.29/51.51 assert (zenon_L508_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e10) (e12)) = (e11)) -> ((op1 (e12) (e11)) = (e12)) -> (~((e10) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e13)) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e11) = (e13))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> False).
% 51.29/51.51 do 0 intro. intros zenon_Hcf zenon_H72 zenon_H65 zenon_H2c9 zenon_H11a zenon_H2c8 zenon_H42 zenon_He1 zenon_H54 zenon_H51 zenon_H10a zenon_H10e zenon_H49 zenon_Hda zenon_Hb8 zenon_Hc8 zenon_H3d zenon_H35 zenon_H90 zenon_Hc2 zenon_H1c zenon_H19 zenon_H8c.
% 51.29/51.51 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hc9 ].
% 51.29/51.51 apply (zenon_L39_); trivial.
% 51.29/51.51 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hca ].
% 51.29/51.51 apply (zenon_L507_); trivial.
% 51.29/51.51 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H8b ].
% 51.29/51.51 apply (zenon_L41_); trivial.
% 51.29/51.51 apply (zenon_L24_); trivial.
% 51.29/51.51 (* end of lemma zenon_L508_ *)
% 51.29/51.51 assert (zenon_L509_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> ((op1 (e13) (e10)) = (e12)) -> (~((e10) = (e13))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e12) (e10)) = (e11)) -> ((op1 (e13) (e11)) = (e10)) -> ((op1 (e11) (e13)) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e13))) -> ((e11) = (op1 (e13) (e13))) -> False).
% 51.29/51.51 do 0 intro. intros zenon_Hcf zenon_H4b zenon_He8 zenon_H42 zenon_Hda zenon_H49 zenon_H10e zenon_H10a zenon_Hbe zenon_H51 zenon_H54 zenon_He1 zenon_H3d zenon_H19.
% 51.29/51.51 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H66 | zenon_intro zenon_Hd0 ].
% 51.29/51.51 apply (zenon_L57_); trivial.
% 51.29/51.51 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hd1 ].
% 51.29/51.51 apply (zenon_L40_); trivial.
% 51.29/51.51 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hb3 ].
% 51.29/51.51 apply (zenon_L77_); trivial.
% 51.29/51.51 apply (zenon_L37_); trivial.
% 51.29/51.51 (* end of lemma zenon_L509_ *)
% 51.29/51.51 assert (zenon_L510_ : (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e13)) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e13))) -> ((op1 (e13) (e10)) = (e12)) -> (~((e12) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> False).
% 51.29/51.51 do 0 intro. intros zenon_Hc8 zenon_Hb8 zenon_H3d zenon_He1 zenon_H54 zenon_H51 zenon_H10a zenon_H10e zenon_H49 zenon_Hda zenon_H42 zenon_He8 zenon_H4b zenon_Hcf zenon_Hc2 zenon_H1c zenon_H19 zenon_H8c.
% 51.29/51.51 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hc9 ].
% 51.29/51.51 apply (zenon_L39_); trivial.
% 51.29/51.51 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hca ].
% 51.29/51.51 apply (zenon_L509_); trivial.
% 51.29/51.51 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H8b ].
% 51.29/51.51 apply (zenon_L41_); trivial.
% 51.29/51.51 apply (zenon_L24_); trivial.
% 51.29/51.51 (* end of lemma zenon_L510_ *)
% 51.29/51.51 assert (zenon_L511_ : (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((op1 (e10) (e10)) = (e10)) -> (~((e10) = (e11))) -> ((e11) = (op1 (e13) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (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 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((e11) = (e13))) -> ((op1 (e10) (e12)) = (e11)) -> ((op1 (e10) (e13)) = (e12)) -> (~((e12) = (e13))) -> False).
% 51.29/51.51 do 0 intro. intros zenon_Hfe zenon_H2b zenon_H90 zenon_H2c9 zenon_H65 zenon_H72 zenon_Haf zenon_Ha2 zenon_Hde zenon_Hd3 zenon_H2c5 zenon_H2ba zenon_H2e1 zenon_H35 zenon_H10b zenon_Hff zenon_H23 zenon_H8c zenon_H19 zenon_H1c zenon_Hc2 zenon_Hcf zenon_H42 zenon_Hda zenon_H10e zenon_H10a zenon_H54 zenon_He1 zenon_Hb8 zenon_Hc8 zenon_Hf3 zenon_Hec zenon_Hf0 zenon_Hcb zenon_H45 zenon_Hb0 zenon_Hea zenon_Hab zenon_H2c zenon_H95 zenon_H9e zenon_Hb5 zenon_Hf8 zenon_H3d zenon_H11a zenon_H49 zenon_H4b.
% 51.29/51.51 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ].
% 51.29/51.51 apply (zenon_L7_); trivial.
% 51.29/51.51 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_H34 | zenon_intro zenon_H101 ].
% 51.29/51.51 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H3c | zenon_intro zenon_H102 ].
% 51.29/51.51 apply (zenon_L317_); trivial.
% 51.29/51.51 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_H46 | zenon_intro zenon_H103 ].
% 51.29/51.51 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H2bb | zenon_intro zenon_H2e4 ].
% 51.29/51.51 apply (zenon_L281_); trivial.
% 51.29/51.51 apply (zenon_or_s _ _ zenon_H2e4); [ zenon_intro zenon_H2c6 | zenon_intro zenon_H2e5 ].
% 51.29/51.51 apply (zenon_L284_); trivial.
% 51.29/51.51 apply (zenon_or_s _ _ zenon_H2e5); [ zenon_intro zenon_H2c8 | zenon_intro zenon_H2de ].
% 51.29/51.51 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H41 | zenon_intro zenon_Hf9 ].
% 51.29/51.51 apply (zenon_L86_); trivial.
% 51.29/51.51 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H47 | zenon_intro zenon_Hfa ].
% 51.29/51.51 apply (zenon_L13_); trivial.
% 51.29/51.51 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H51 ].
% 51.29/51.51 apply (zenon_L505_); trivial.
% 51.29/51.51 apply (zenon_L508_); trivial.
% 51.29/51.51 apply (zenon_L309_); trivial.
% 51.29/51.51 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_He6 | zenon_intro zenon_H4a ].
% 51.29/51.51 apply (zenon_L427_); trivial.
% 51.29/51.51 apply (zenon_L15_); trivial.
% 51.29/51.51 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_H7c | zenon_intro zenon_He8 ].
% 51.29/51.51 apply (zenon_L75_); trivial.
% 51.29/51.51 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H3c | zenon_intro zenon_H102 ].
% 51.29/51.51 apply (zenon_L317_); trivial.
% 51.29/51.51 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_H46 | zenon_intro zenon_H103 ].
% 51.29/51.51 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H41 | zenon_intro zenon_Hf9 ].
% 51.29/51.51 apply (zenon_L354_); trivial.
% 51.29/51.51 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H47 | zenon_intro zenon_Hfa ].
% 51.29/51.51 apply (zenon_L13_); trivial.
% 51.29/51.51 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H51 ].
% 51.29/51.51 apply (zenon_L65_); trivial.
% 51.29/51.51 apply (zenon_L510_); trivial.
% 51.29/51.51 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_He6 | zenon_intro zenon_H4a ].
% 51.29/51.51 apply (zenon_L427_); trivial.
% 51.29/51.51 apply (zenon_L15_); trivial.
% 51.29/51.51 (* end of lemma zenon_L511_ *)
% 51.29/51.51 assert (zenon_L512_ : (~((e12) = (e13))) -> ((op1 (e10) (e12)) = (e11)) -> (~((e11) = (e13))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((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))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> ((op1 (e10) (e10)) = (e10)) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((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)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> False).
% 51.29/51.51 do 0 intro. intros zenon_H4b zenon_H11a zenon_H3d zenon_Hf8 zenon_Hb5 zenon_H9e zenon_H95 zenon_Hea zenon_Hb0 zenon_H45 zenon_Hcb zenon_Hf0 zenon_Hec zenon_Hf3 zenon_Hc8 zenon_Hb8 zenon_He1 zenon_H54 zenon_H10a zenon_H10e zenon_H42 zenon_Hcf zenon_Hc2 zenon_H19 zenon_H8c zenon_H23 zenon_Hff zenon_H10b zenon_H35 zenon_H2e1 zenon_H2ba zenon_H2c5 zenon_Hde zenon_Ha2 zenon_Haf zenon_H72 zenon_H65 zenon_H2c9 zenon_H90 zenon_H2b zenon_Hfe zenon_Hab zenon_Hd3 zenon_H2c zenon_H1c zenon_Hda.
% 51.29/51.51 apply (zenon_or_s _ _ zenon_Hde); [ zenon_intro zenon_H49 | zenon_intro zenon_Hdf ].
% 51.29/51.51 apply (zenon_L511_); trivial.
% 51.29/51.51 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_Haa | zenon_intro zenon_He0 ].
% 51.29/51.51 apply (zenon_L34_); trivial.
% 51.29/51.51 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hd2 | zenon_intro zenon_Hd9 ].
% 51.29/51.51 apply (zenon_L45_); trivial.
% 51.29/51.51 apply (zenon_L46_); trivial.
% 51.29/51.51 (* end of lemma zenon_L512_ *)
% 51.29/51.51 assert (zenon_L513_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((op2 (e21) (e20)) = (e21)) -> (~((h4 (op1 (e11) (e10))) = (op2 (h4 (e11)) (h4 (e10))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (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)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e13))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> False).
% 51.29/51.51 do 0 intro. intros zenon_H13b zenon_H318 zenon_H2db zenon_H305 zenon_H311 zenon_H2ff zenon_H30d zenon_H314 zenon_H2e0 zenon_H2ce zenon_H2d4 zenon_H327 zenon_H345 zenon_H33e zenon_H2d1 zenon_H33a zenon_H341 zenon_H31e zenon_H2be zenon_H31b zenon_H32a zenon_H14 zenon_H13 zenon_H14e zenon_H2e7 zenon_H280 zenon_H35f zenon_H2c9 zenon_H2c5 zenon_H2ba zenon_H2e1 zenon_H324 zenon_H1b zenon_H19 zenon_Hb8 zenon_H136 zenon_Hc8 zenon_Hea zenon_Hcf zenon_Hfb zenon_Ha2 zenon_H65 zenon_H95 zenon_H45 zenon_Hf8 zenon_Hff zenon_H113 zenon_H123 zenon_H131 zenon_H125 zenon_H128 zenon_H3d zenon_He1 zenon_H12c zenon_H9e zenon_H42 zenon_H4b zenon_Hb5 zenon_Hf3 zenon_Hc2 zenon_Hec zenon_Hf0 zenon_Hcb zenon_H90 zenon_H10b zenon_H2b zenon_Hfe zenon_H105 zenon_H117 zenon_H8c zenon_Haf zenon_H72 zenon_H7d zenon_H10e zenon_H54 zenon_Hf6 zenon_Hb0 zenon_H24 zenon_H135 zenon_Hde zenon_H35 zenon_Hab zenon_Hd3 zenon_H2c zenon_H1c zenon_Hda.
% 51.29/51.51 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H23 | zenon_intro zenon_H13e ].
% 51.29/51.51 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H3b | zenon_intro zenon_H139 ].
% 51.29/51.51 apply (zenon_or_s _ _ zenon_H32a); [ zenon_intro zenon_H2d | zenon_intro zenon_H32b ].
% 51.29/51.51 apply (zenon_L7_); trivial.
% 51.29/51.51 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H2bb | zenon_intro zenon_H32c ].
% 51.29/51.51 apply (zenon_L281_); trivial.
% 51.29/51.51 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H2bf | zenon_intro zenon_H49 ].
% 51.29/51.51 apply (zenon_L282_); trivial.
% 51.29/51.51 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ].
% 51.29/51.51 apply (zenon_L7_); trivial.
% 51.29/51.51 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_H34 | zenon_intro zenon_H101 ].
% 51.29/51.51 apply (zenon_L325_); trivial.
% 51.29/51.51 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_H7c | zenon_intro zenon_He8 ].
% 51.29/51.51 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H3c | zenon_intro zenon_H102 ].
% 51.29/51.51 apply (zenon_L317_); trivial.
% 51.29/51.51 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_H46 | zenon_intro zenon_H103 ].
% 51.29/51.51 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hfc ].
% 51.29/51.51 apply (zenon_L317_); trivial.
% 51.29/51.51 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H41 | zenon_intro zenon_Hfd ].
% 51.29/51.51 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H33 | zenon_intro zenon_H2e2 ].
% 51.29/51.51 apply (zenon_L12_); trivial.
% 51.29/51.51 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2e3 ].
% 51.29/51.51 apply (zenon_L283_); trivial.
% 51.29/51.51 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H126 | zenon_intro zenon_H50 ].
% 51.29/51.51 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H108 | zenon_intro zenon_H319 ].
% 51.29/51.51 apply (zenon_L500_); trivial.
% 51.29/51.51 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H30b | zenon_intro zenon_H31a ].
% 51.29/51.51 apply (zenon_L455_); trivial.
% 51.29/51.51 apply (zenon_or_s _ _ zenon_H31a); [ zenon_intro zenon_H129 | zenon_intro zenon_Ha5 ].
% 51.29/51.51 apply (zenon_L359_); trivial.
% 51.29/51.51 apply (zenon_L33_); trivial.
% 51.29/51.51 apply (zenon_L369_); trivial.
% 51.29/51.51 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_He2 | zenon_intro zenon_H66 ].
% 51.29/51.51 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H33 | zenon_intro zenon_H2e2 ].
% 51.29/51.51 apply (zenon_L486_); trivial.
% 51.29/51.51 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2e3 ].
% 51.29/51.51 apply (zenon_L283_); trivial.
% 51.29/51.51 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H126 | zenon_intro zenon_H50 ].
% 51.29/51.51 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H108 | zenon_intro zenon_H319 ].
% 51.29/51.51 apply (zenon_L500_); trivial.
% 51.29/51.51 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H30b | zenon_intro zenon_H31a ].
% 51.29/51.51 apply (zenon_L479_); trivial.
% 51.29/51.51 apply (zenon_or_s _ _ zenon_H31a); [ zenon_intro zenon_H129 | zenon_intro zenon_Ha5 ].
% 51.29/51.51 apply (zenon_L359_); trivial.
% 51.29/51.51 apply (zenon_L33_); trivial.
% 51.29/51.51 apply (zenon_L377_); trivial.
% 51.29/51.51 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H33 | zenon_intro zenon_H2e2 ].
% 51.29/51.51 apply (zenon_L494_); trivial.
% 51.29/51.51 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2e3 ].
% 51.29/51.51 apply (zenon_L283_); trivial.
% 51.29/51.51 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H126 | zenon_intro zenon_H50 ].
% 51.29/51.51 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H108 | zenon_intro zenon_H319 ].
% 51.29/51.51 apply (zenon_L500_); trivial.
% 51.29/51.51 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H30b | zenon_intro zenon_H31a ].
% 51.29/51.51 apply (zenon_L497_); trivial.
% 51.29/51.51 apply (zenon_or_s _ _ zenon_H31a); [ zenon_intro zenon_H129 | zenon_intro zenon_Ha5 ].
% 51.29/51.51 apply (zenon_L359_); trivial.
% 51.29/51.51 apply (zenon_L33_); trivial.
% 51.29/51.51 apply (zenon_L377_); trivial.
% 51.29/51.51 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_He6 | zenon_intro zenon_H4a ].
% 51.29/51.51 apply (zenon_L378_); trivial.
% 51.29/51.51 apply (zenon_L15_); trivial.
% 51.29/51.51 apply (zenon_L384_); trivial.
% 51.29/51.51 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H104 | zenon_intro zenon_H13a ].
% 51.29/51.51 apply (zenon_L426_); trivial.
% 51.29/51.51 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H11a | zenon_intro zenon_H11c ].
% 51.29/51.51 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H3b | zenon_intro zenon_H118 ].
% 51.29/51.51 apply (zenon_or_s _ _ zenon_H32a); [ zenon_intro zenon_H2d | zenon_intro zenon_H32b ].
% 51.29/51.51 apply (zenon_L7_); trivial.
% 51.29/51.51 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H2bb | zenon_intro zenon_H32c ].
% 51.29/51.51 apply (zenon_L281_); trivial.
% 51.29/51.51 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H2bf | zenon_intro zenon_H49 ].
% 51.29/51.51 apply (zenon_L282_); trivial.
% 51.29/51.51 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ].
% 51.29/51.51 apply (zenon_L7_); trivial.
% 51.29/51.51 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_H34 | zenon_intro zenon_H101 ].
% 51.29/51.51 apply (zenon_L325_); trivial.
% 51.29/51.51 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_H7c | zenon_intro zenon_He8 ].
% 51.29/51.51 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H3c | zenon_intro zenon_H102 ].
% 51.29/51.51 apply (zenon_L11_); trivial.
% 51.29/51.51 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_H46 | zenon_intro zenon_H103 ].
% 51.29/51.51 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hfc ].
% 51.29/51.51 apply (zenon_L11_); trivial.
% 51.29/51.51 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H41 | zenon_intro zenon_Hfd ].
% 51.29/51.51 apply (zenon_L502_); trivial.
% 51.29/51.51 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_He2 | zenon_intro zenon_H66 ].
% 51.29/51.51 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H108 | zenon_intro zenon_H319 ].
% 51.29/51.51 apply (zenon_L500_); trivial.
% 51.29/51.51 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H30b | zenon_intro zenon_H31a ].
% 51.29/51.51 apply (zenon_L479_); trivial.
% 51.29/51.51 apply (zenon_or_s _ _ zenon_H31a); [ zenon_intro zenon_H129 | zenon_intro zenon_Ha5 ].
% 51.29/51.51 apply (zenon_L482_); trivial.
% 51.29/51.51 apply (zenon_L33_); trivial.
% 51.29/51.51 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H33 | zenon_intro zenon_H2e2 ].
% 51.29/51.51 apply (zenon_L494_); trivial.
% 51.29/51.51 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2e3 ].
% 51.29/51.51 apply (zenon_L283_); trivial.
% 51.29/51.51 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H126 | zenon_intro zenon_H50 ].
% 51.29/51.51 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H108 | zenon_intro zenon_H319 ].
% 51.29/51.51 apply (zenon_L500_); trivial.
% 51.29/51.51 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H30b | zenon_intro zenon_H31a ].
% 51.29/51.51 apply (zenon_L497_); trivial.
% 51.29/51.51 apply (zenon_or_s _ _ zenon_H31a); [ zenon_intro zenon_H129 | zenon_intro zenon_Ha5 ].
% 51.29/51.51 apply (zenon_L482_); trivial.
% 51.29/51.51 apply (zenon_L33_); trivial.
% 51.29/51.51 apply (zenon_L377_); trivial.
% 51.29/51.51 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_He6 | zenon_intro zenon_H4a ].
% 51.29/51.51 apply (zenon_L378_); trivial.
% 51.29/51.51 apply (zenon_L335_); trivial.
% 51.29/51.51 apply (zenon_L384_); trivial.
% 51.29/51.51 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H108 | zenon_intro zenon_H119 ].
% 51.29/51.51 apply (zenon_L500_); trivial.
% 51.29/51.51 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H10a | zenon_intro zenon_H114 ].
% 51.29/51.51 apply (zenon_L512_); trivial.
% 51.29/51.51 apply (zenon_L82_); trivial.
% 51.29/51.51 apply (zenon_L85_); trivial.
% 51.29/51.51 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H1d | zenon_intro zenon_H14b ].
% 51.29/51.51 apply (zenon_L4_); trivial.
% 51.29/51.51 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H22 | zenon_intro zenon_H4e ].
% 51.29/51.51 apply (zenon_L109_); trivial.
% 51.29/51.51 apply (zenon_L47_); trivial.
% 51.29/51.51 (* end of lemma zenon_L513_ *)
% 51.29/51.51 assert (zenon_L514_ : (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e21) (e20)) = (e22)) -> ((op2 (e21) (e21)) = (e22)) -> False).
% 51.29/51.51 do 0 intro. intros zenon_H36a zenon_H16e zenon_H17c.
% 51.29/51.51 cut (((op2 (e21) (e20)) = (e22)) = ((op2 (e21) (e20)) = (op2 (e21) (e21)))).
% 51.29/51.51 intro zenon_D_pnotp.
% 51.29/51.51 apply zenon_H36a.
% 51.29/51.51 rewrite <- zenon_D_pnotp.
% 51.29/51.51 exact zenon_H16e.
% 51.29/51.51 cut (((e22) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H17d].
% 51.29/51.51 cut (((op2 (e21) (e20)) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1aa].
% 51.29/51.51 congruence.
% 51.29/51.51 apply zenon_H1aa. apply refl_equal.
% 51.29/51.51 apply zenon_H17d. apply sym_equal. exact zenon_H17c.
% 51.29/51.51 (* end of lemma zenon_L514_ *)
% 51.29/51.51 assert (zenon_L515_ : (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((e22) = (e23))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e20) = (e23))) -> ((op2 (e21) (e23)) = (e20)) -> ((op2 (e22) (e20)) = (e23)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((e21) = (e23))) -> ((e21) = (op2 (e23) (e23))) -> False).
% 51.29/51.51 do 0 intro. intros zenon_H1fa zenon_H195 zenon_H14 zenon_H15e zenon_H18e zenon_H187 zenon_H1ac zenon_H19b zenon_H205 zenon_H1a8 zenon_H252 zenon_H254 zenon_H1f7 zenon_H14e.
% 51.29/51.51 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H1ab | zenon_intro zenon_H1fb ].
% 51.29/51.51 apply (zenon_L194_); trivial.
% 51.29/51.51 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H1bc | zenon_intro zenon_H1fc ].
% 51.29/51.51 apply (zenon_L184_); trivial.
% 51.29/51.51 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H1f8 ].
% 51.29/51.51 apply (zenon_L189_); trivial.
% 51.29/51.51 apply (zenon_L149_); trivial.
% 51.29/51.51 (* end of lemma zenon_L515_ *)
% 51.29/51.51 assert (zenon_L516_ : (~((op2 (e21) (e21)) = (op2 (op2 (e20) (e22)) (op2 (e20) (e22))))) -> ((op2 (e20) (e22)) = (e21)) -> False).
% 51.29/51.51 do 0 intro. intros zenon_H36b zenon_H293.
% 51.29/51.51 cut (((e21) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H36c].
% 51.29/51.51 cut (((e21) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H36c].
% 51.29/51.51 congruence.
% 51.29/51.51 apply zenon_H36c. apply sym_equal. exact zenon_H293.
% 51.29/51.51 apply zenon_H36c. apply sym_equal. exact zenon_H293.
% 51.29/51.51 (* end of lemma zenon_L516_ *)
% 51.29/51.51 assert (zenon_L517_ : ((op2 (e22) (e21)) = (e22)) -> ((op2 (e20) (e22)) = (e21)) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e23)) -> ((op2 (e23) (e20)) = (e23)) -> ((op2 (e22) (e23)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((e21) = (op2 (e23) (e23))) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> False).
% 51.29/51.51 do 0 intro. intros zenon_H226 zenon_H293 zenon_H36d zenon_H1bd zenon_H1bc zenon_H1cd zenon_H1c9 zenon_H1cc zenon_H14e zenon_H244 zenon_H245.
% 51.29/51.51 apply (zenon_or_s _ _ ax11); [ zenon_intro zenon_H1b0 | zenon_intro zenon_H1e2 ].
% 51.29/51.51 apply (zenon_and_s _ _ zenon_H1b0). zenon_intro zenon_H1b3. zenon_intro zenon_H1b2.
% 51.29/51.51 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H1b5. zenon_intro zenon_H1b4.
% 51.29/51.51 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_H1b7. zenon_intro zenon_H1b6.
% 51.29/51.51 cut (((op2 (op2 (e20) (e22)) (op2 (e20) (e22))) = (e22)) = ((op2 (e21) (e21)) = (op2 (e22) (e21)))).
% 51.29/51.51 intro zenon_D_pnotp.
% 51.29/51.51 apply zenon_H36d.
% 51.29/51.51 rewrite <- zenon_D_pnotp.
% 51.29/51.51 exact zenon_H1b7.
% 51.29/51.51 cut (((e22) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H227].
% 51.29/51.51 cut (((op2 (op2 (e20) (e22)) (op2 (e20) (e22))) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H36e].
% 51.29/51.51 congruence.
% 51.29/51.51 elim (classic ((op2 (e21) (e21)) = (op2 (e21) (e21)))); [ zenon_intro zenon_H246 | zenon_intro zenon_H247 ].
% 51.29/51.51 cut (((op2 (e21) (e21)) = (op2 (e21) (e21))) = ((op2 (op2 (e20) (e22)) (op2 (e20) (e22))) = (op2 (e21) (e21)))).
% 51.29/51.51 intro zenon_D_pnotp.
% 51.29/51.51 apply zenon_H36e.
% 51.29/51.51 rewrite <- zenon_D_pnotp.
% 51.29/51.51 exact zenon_H246.
% 51.29/51.51 cut (((op2 (e21) (e21)) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H247].
% 51.29/51.51 cut (((op2 (e21) (e21)) = (op2 (op2 (e20) (e22)) (op2 (e20) (e22))))); [idtac | apply NNPP; zenon_intro zenon_H36b].
% 51.29/51.51 congruence.
% 51.29/51.51 apply (zenon_L516_); trivial.
% 51.29/51.51 apply zenon_H247. apply refl_equal.
% 51.29/51.51 apply zenon_H247. apply refl_equal.
% 51.29/51.51 apply zenon_H227. apply sym_equal. exact zenon_H226.
% 51.29/51.51 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H1bb | zenon_intro zenon_H1e3 ].
% 51.29/51.51 apply (zenon_L134_); trivial.
% 51.29/51.51 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H1cb | zenon_intro zenon_H1d6 ].
% 51.29/51.51 apply (zenon_L136_); trivial.
% 51.29/51.51 apply (zenon_L172_); trivial.
% 51.29/51.51 (* end of lemma zenon_L517_ *)
% 51.29/51.51 assert (zenon_L518_ : (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((op2 (e20) (e21)) = (e23)) -> ((e21) = (op2 (e23) (e23))) -> ((op2 (e22) (e23)) = (e23)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (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 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> False).
% 51.29/51.51 do 0 intro. intros zenon_H245 zenon_H244 zenon_H14e zenon_H1e7 zenon_H1ec zenon_H1bd zenon_H1e6 zenon_H19b zenon_H1cc zenon_H1cd zenon_H1f3 zenon_H187 zenon_H18e zenon_H15e zenon_H14 zenon_H195.
% 51.29/51.51 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H175 | zenon_intro zenon_H19c ].
% 51.29/51.51 apply (zenon_L179_); trivial.
% 51.29/51.51 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H186 | zenon_intro zenon_H19d ].
% 51.29/51.51 apply (zenon_L124_); trivial.
% 51.29/51.51 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H18d | zenon_intro zenon_H194 ].
% 51.29/51.51 apply (zenon_L125_); trivial.
% 51.29/51.51 apply (zenon_L126_); trivial.
% 51.29/51.51 (* end of lemma zenon_L518_ *)
% 51.29/51.51 assert (zenon_L519_ : (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e22) = (e23))) -> ((op2 (e20) (e23)) = (e22)) -> ((op2 (e22) (e23)) = (e20)) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e20) (e22)) = (e21)) -> ((op2 (e22) (e21)) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> ((op2 (e23) (e20)) = (e23)) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((e21) = (e23))) -> ((e21) = (op2 (e23) (e23))) -> False).
% 51.29/51.51 do 0 intro. intros zenon_H1fa zenon_H1ac zenon_H175 zenon_H1c9 zenon_H36d zenon_H293 zenon_H226 zenon_H195 zenon_H14 zenon_H15e zenon_H18e zenon_H187 zenon_H1f3 zenon_H1cd zenon_H1cc zenon_H19b zenon_H1e6 zenon_H1bd zenon_H1ec zenon_H244 zenon_H245 zenon_H1f7 zenon_H14e.
% 51.29/51.51 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H1ab | zenon_intro zenon_H1fb ].
% 51.29/51.51 apply (zenon_L132_); trivial.
% 51.29/51.51 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H1bc | zenon_intro zenon_H1fc ].
% 51.29/51.51 apply (zenon_L517_); trivial.
% 51.29/51.51 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H1f8 ].
% 51.29/51.51 apply (zenon_L518_); trivial.
% 51.29/51.51 apply (zenon_L149_); trivial.
% 51.29/51.51 (* end of lemma zenon_L519_ *)
% 51.29/51.51 assert (zenon_L520_ : (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((op2 (e20) (e21)) = (e23)) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e22) (e23)) = (e20)) -> ((op2 (e22) (e20)) = (e23)) -> ((op2 (e21) (e23)) = (e23)) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e20)) = (e22)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> False).
% 51.29/51.51 do 0 intro. intros zenon_H19b zenon_H245 zenon_H244 zenon_H14e zenon_H1b1 zenon_H1c9 zenon_H252 zenon_H1bc zenon_H1bd zenon_H1d7 zenon_H21b zenon_H21c zenon_H23c zenon_H209 zenon_H24b zenon_H187 zenon_H18e zenon_H15e zenon_H14 zenon_H195.
% 51.29/51.51 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H175 | zenon_intro zenon_H19c ].
% 51.29/51.51 apply (zenon_L187_); trivial.
% 51.29/51.51 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H186 | zenon_intro zenon_H19d ].
% 51.29/51.51 apply (zenon_L124_); trivial.
% 51.29/51.51 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H18d | zenon_intro zenon_H194 ].
% 51.29/51.51 apply (zenon_L125_); trivial.
% 51.29/51.51 apply (zenon_L126_); trivial.
% 51.29/51.51 (* end of lemma zenon_L520_ *)
% 51.29/51.51 assert (zenon_L521_ : (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e20)) = (e23)) -> ((op2 (e23) (e21)) = (e23)) -> False).
% 51.29/51.51 do 0 intro. intros zenon_H1fd zenon_H1cd zenon_H204.
% 51.29/51.51 cut (((op2 (e23) (e20)) = (e23)) = ((op2 (e23) (e20)) = (op2 (e23) (e21)))).
% 51.29/51.51 intro zenon_D_pnotp.
% 51.29/51.51 apply zenon_H1fd.
% 51.29/51.51 rewrite <- zenon_D_pnotp.
% 51.29/51.51 exact zenon_H1cd.
% 51.29/51.51 cut (((e23) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H36f].
% 51.29/51.51 cut (((op2 (e23) (e20)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H201].
% 51.29/51.51 congruence.
% 51.29/51.51 apply zenon_H201. apply refl_equal.
% 51.29/51.51 apply zenon_H36f. apply sym_equal. exact zenon_H204.
% 51.29/51.51 (* end of lemma zenon_L521_ *)
% 51.29/51.51 assert (zenon_L522_ : (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e23)) -> ((op2 (e22) (e20)) = (e23)) -> ((op2 (e22) (e23)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((e21) = (op2 (e23) (e23))) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e21)) = (e23)) -> False).
% 51.29/51.51 do 0 intro. intros zenon_H21f zenon_H217 zenon_H195 zenon_H14 zenon_H15e zenon_H18e zenon_H187 zenon_H24b zenon_H209 zenon_H23c zenon_H21b zenon_H1d7 zenon_H1bd zenon_H1bc zenon_H252 zenon_H1c9 zenon_H1b1 zenon_H14e zenon_H244 zenon_H245 zenon_H19b zenon_H1fd zenon_H204.
% 51.29/51.51 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H1fe | zenon_intro zenon_H220 ].
% 51.29/51.51 apply (zenon_L151_); trivial.
% 51.29/51.51 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H218 | zenon_intro zenon_H221 ].
% 51.29/51.51 apply (zenon_L156_); trivial.
% 51.29/51.51 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H21c | zenon_intro zenon_H1cd ].
% 51.29/51.51 apply (zenon_L520_); trivial.
% 51.29/51.51 apply (zenon_L521_); trivial.
% 51.29/51.51 (* end of lemma zenon_L522_ *)
% 51.29/51.51 assert (zenon_L523_ : (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e22) = (e23))) -> ((op2 (e23) (e21)) = (e23)) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e22) (e23)) = (e20)) -> ((op2 (e22) (e20)) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e20) (e23)) = (e22)) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e22)) = (e22)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((e21) = (e23))) -> ((e21) = (op2 (e23) (e23))) -> False).
% 51.29/51.51 do 0 intro. intros zenon_H1fa zenon_H1ac zenon_H204 zenon_H1b1 zenon_H1c9 zenon_H252 zenon_H1d7 zenon_H23c zenon_H209 zenon_H24b zenon_H245 zenon_H244 zenon_H1ec zenon_H1bd zenon_H1e6 zenon_H175 zenon_H15e zenon_H14 zenon_H187 zenon_H19b zenon_H1cc zenon_H18e zenon_H195 zenon_H1f3 zenon_H21b zenon_H1d8 zenon_H217 zenon_H1fd zenon_H21f zenon_H1f7 zenon_H14e.
% 51.29/51.51 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H1ab | zenon_intro zenon_H1fb ].
% 51.29/51.51 apply (zenon_L132_); trivial.
% 51.29/51.51 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H1bc | zenon_intro zenon_H1fc ].
% 51.29/51.51 apply (zenon_L522_); trivial.
% 51.29/51.51 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H1f8 ].
% 51.29/51.51 apply (zenon_L180_); trivial.
% 51.29/51.51 apply (zenon_L149_); trivial.
% 51.29/51.51 (* end of lemma zenon_L523_ *)
% 51.29/51.51 assert (zenon_L524_ : (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e20) = (e22))) -> (~((e20) = (e23))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e22) (e20)) = (e23)) -> ((op2 (e21) (e23)) = (e23)) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e23)) = (e22)) -> ((op2 (e23) (e22)) = (e23)) -> ((e21) = (op2 (e23) (e23))) -> (~((e20) = (e21))) -> False).
% 51.29/51.51 do 0 intro. intros zenon_H22f zenon_H16f zenon_H205 zenon_H245 zenon_H244 zenon_H1b1 zenon_H252 zenon_H1bc zenon_H1bd zenon_H1d7 zenon_H175 zenon_H21d zenon_H14e zenon_H210.
% 51.29/51.51 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H235 ].
% 51.29/51.51 apply (zenon_L129_); trivial.
% 51.29/51.51 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H1a8 | zenon_intro zenon_H236 ].
% 51.29/51.51 apply (zenon_L184_); trivial.
% 51.29/51.51 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1c9 | zenon_intro zenon_H20f ].
% 51.29/51.51 apply (zenon_L186_); trivial.
% 51.29/51.51 apply (zenon_L154_); trivial.
% 51.29/51.51 (* end of lemma zenon_L524_ *)
% 51.29/51.51 assert (zenon_L525_ : (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((e22) = (e23))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e20) = (e21))) -> ((op2 (e23) (e22)) = (e23)) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((e20) = (e23))) -> (~((e20) = (e22))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> ((op2 (e22) (e20)) = (e23)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((e21) = (e23))) -> ((e21) = (op2 (e23) (e23))) -> False).
% 51.29/51.51 do 0 intro. intros zenon_H1fa zenon_H195 zenon_H14 zenon_H15e zenon_H18e zenon_H187 zenon_H1ac zenon_H19b zenon_H210 zenon_H21d zenon_H175 zenon_H1d7 zenon_H1bd zenon_H1b1 zenon_H244 zenon_H245 zenon_H205 zenon_H16f zenon_H22f zenon_H252 zenon_H254 zenon_H1f7 zenon_H14e.
% 51.29/51.51 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H1ab | zenon_intro zenon_H1fb ].
% 51.29/51.51 apply (zenon_L194_); trivial.
% 51.29/51.51 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H1bc | zenon_intro zenon_H1fc ].
% 51.29/51.51 apply (zenon_L524_); trivial.
% 51.29/51.51 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H1f8 ].
% 51.29/51.51 apply (zenon_L189_); trivial.
% 51.29/51.51 apply (zenon_L149_); trivial.
% 51.29/51.51 (* end of lemma zenon_L525_ *)
% 51.29/51.51 assert (zenon_L526_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((op2 (e22) (e21)) = (e22)) -> ((op2 (e20) (e22)) = (e21)) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e22)) = (e22)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (e22) (e23)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e22) (e20)) = (e23)) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e20) = (e22))) -> (~((e20) = (e23))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e23)) = (e22)) -> (~((e20) = (e21))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e22) = (e23))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e21) = (e23))) -> ((e21) = (op2 (e23) (e23))) -> False).
% 51.35/51.51 do 0 intro. intros zenon_H222 zenon_H226 zenon_H293 zenon_H36d zenon_H21f zenon_H1fd zenon_H217 zenon_H1d8 zenon_H21b zenon_H1f3 zenon_H1cc zenon_H1e6 zenon_H1ec zenon_H24b zenon_H209 zenon_H23c zenon_H1c9 zenon_H254 zenon_H252 zenon_H22f zenon_H16f zenon_H205 zenon_H245 zenon_H244 zenon_H1b1 zenon_H1bd zenon_H1d7 zenon_H175 zenon_H210 zenon_H19b zenon_H1ac zenon_H187 zenon_H18e zenon_H15e zenon_H14 zenon_H195 zenon_H1fa zenon_H1f7 zenon_H14e.
% 51.35/51.51 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1cd | zenon_intro zenon_H223 ].
% 51.35/51.51 apply (zenon_L519_); trivial.
% 51.35/51.51 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H204 | zenon_intro zenon_H224 ].
% 51.35/51.51 apply (zenon_L523_); trivial.
% 51.35/51.51 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H21d | zenon_intro zenon_H1f8 ].
% 51.35/51.51 apply (zenon_L525_); trivial.
% 51.35/51.51 apply (zenon_L149_); trivial.
% 51.35/51.51 (* end of lemma zenon_L526_ *)
% 51.35/51.51 assert (zenon_L527_ : (~((e21) = (e23))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((e22) = (e23))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((e20) = (e23))) -> (~((e20) = (e22))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> ((op2 (e22) (e20)) = (e23)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e22)) = (e22)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e20) (e22)) = (e21)) -> ((op2 (e22) (e21)) = (e22)) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((e21) = (op2 (e23) (e23))) -> (~((e20) = (e21))) -> False).
% 51.35/51.51 do 0 intro. intros zenon_H1f7 zenon_H1fa zenon_H195 zenon_H14 zenon_H15e zenon_H18e zenon_H187 zenon_H1ac zenon_H19b zenon_H175 zenon_H1d7 zenon_H1bd zenon_H1b1 zenon_H244 zenon_H245 zenon_H205 zenon_H16f zenon_H22f zenon_H252 zenon_H254 zenon_H23c zenon_H209 zenon_H24b zenon_H1ec zenon_H1e6 zenon_H1cc zenon_H1f3 zenon_H21b zenon_H1d8 zenon_H217 zenon_H1fd zenon_H21f zenon_H36d zenon_H293 zenon_H226 zenon_H222 zenon_H14e zenon_H210.
% 51.35/51.51 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H235 ].
% 51.35/51.51 apply (zenon_L183_); trivial.
% 51.35/51.51 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H1a8 | zenon_intro zenon_H236 ].
% 51.35/51.51 apply (zenon_L515_); trivial.
% 51.35/51.51 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1c9 | zenon_intro zenon_H20f ].
% 51.35/51.51 apply (zenon_L526_); trivial.
% 51.35/51.51 apply (zenon_L154_); trivial.
% 51.35/51.51 (* end of lemma zenon_L527_ *)
% 51.35/51.51 assert (zenon_L528_ : (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((op2 (e23) (e21)) = (e20)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((e21) = (e23))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e22) = (e23))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((e20) = (e23))) -> (~((e20) = (e22))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> ((op2 (e22) (e20)) = (e23)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e20) (e22)) = (e21)) -> ((op2 (e22) (e21)) = (e22)) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((e21) = (op2 (e23) (e23))) -> (~((e20) = (e21))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> False).
% 51.35/51.51 do 0 intro. intros zenon_H24e zenon_H203 zenon_H18e zenon_H187 zenon_H1f7 zenon_H1fa zenon_H1ac zenon_H19b zenon_H1d7 zenon_H1bd zenon_H1b1 zenon_H244 zenon_H245 zenon_H205 zenon_H16f zenon_H22f zenon_H252 zenon_H254 zenon_H23c zenon_H209 zenon_H24b zenon_H1ec zenon_H1e6 zenon_H1cc zenon_H1f3 zenon_H21b zenon_H217 zenon_H1fd zenon_H21f zenon_H36d zenon_H293 zenon_H226 zenon_H222 zenon_H14e zenon_H210 zenon_H15e zenon_H14 zenon_H195.
% 51.35/51.51 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_H21c | zenon_intro zenon_H24f ].
% 51.35/51.51 apply (zenon_L191_); trivial.
% 51.35/51.51 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H229 | zenon_intro zenon_H250 ].
% 51.35/51.51 apply (zenon_L162_); trivial.
% 51.35/51.51 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H194 ].
% 51.35/51.51 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H175 | zenon_intro zenon_H19c ].
% 51.35/51.51 apply (zenon_L527_); trivial.
% 51.35/51.51 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H186 | zenon_intro zenon_H19d ].
% 51.35/51.51 apply (zenon_L124_); trivial.
% 51.35/51.51 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H18d | zenon_intro zenon_H194 ].
% 51.35/51.51 apply (zenon_L125_); trivial.
% 51.35/51.51 apply (zenon_L126_); trivial.
% 51.35/51.51 apply (zenon_L126_); trivial.
% 51.35/51.51 (* end of lemma zenon_L528_ *)
% 51.35/51.51 assert (zenon_L529_ : (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((op2 (e22) (e21)) = (e22)) -> ((op2 (e20) (e22)) = (e21)) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e22) (e20)) = (e23)) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e20) = (e22))) -> (~((e20) = (e23))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e22) = (e23))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e21) = (e23))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (~((e20) = (e21))) -> False).
% 51.35/51.51 do 0 intro. intros zenon_H214 zenon_H195 zenon_H15e zenon_H222 zenon_H226 zenon_H293 zenon_H36d zenon_H21f zenon_H1fd zenon_H217 zenon_H21b zenon_H1f3 zenon_H1cc zenon_H1e6 zenon_H1ec zenon_H24b zenon_H23c zenon_H254 zenon_H252 zenon_H22f zenon_H16f zenon_H205 zenon_H245 zenon_H244 zenon_H1b1 zenon_H1bd zenon_H1d7 zenon_H19b zenon_H1ac zenon_H1fa zenon_H1f7 zenon_H187 zenon_H18e zenon_H24e zenon_H209 zenon_H14 zenon_H14e zenon_H210.
% 51.35/51.51 apply (zenon_or_s _ _ zenon_H214); [ zenon_intro zenon_H1fe | zenon_intro zenon_H215 ].
% 51.35/51.51 apply (zenon_L151_); trivial.
% 51.35/51.51 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H203 | zenon_intro zenon_H216 ].
% 51.35/51.51 apply (zenon_L528_); trivial.
% 51.35/51.51 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H208 | zenon_intro zenon_H20f ].
% 51.35/51.51 apply (zenon_L153_); trivial.
% 51.35/51.51 apply (zenon_L154_); trivial.
% 51.35/51.51 (* end of lemma zenon_L529_ *)
% 51.35/51.51 assert (zenon_L530_ : (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((op2 (e21) (e20)) = (e22)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((e21) = (e23))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e22) = (e23))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((e20) = (e23))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> ((op2 (e22) (e20)) = (e23)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e20) (e22)) = (e21)) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((e20) = (e22))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (~((e20) = (e21))) -> False).
% 51.35/51.51 do 0 intro. intros zenon_H22b zenon_H164 zenon_H16e zenon_H36a zenon_H24e zenon_H18e zenon_H187 zenon_H1f7 zenon_H1fa zenon_H1ac zenon_H19b zenon_H1d7 zenon_H1bd zenon_H1b1 zenon_H244 zenon_H245 zenon_H205 zenon_H22f zenon_H252 zenon_H254 zenon_H23c zenon_H24b zenon_H1ec zenon_H1e6 zenon_H1cc zenon_H1f3 zenon_H21b zenon_H217 zenon_H21f zenon_H36d zenon_H293 zenon_H222 zenon_H15e zenon_H195 zenon_H214 zenon_H1fd zenon_H16f zenon_H209 zenon_H14 zenon_H14e zenon_H210.
% 51.35/51.51 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H165 | zenon_intro zenon_H22c ].
% 51.35/51.51 apply (zenon_L117_); trivial.
% 51.35/51.51 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H17c | zenon_intro zenon_H22d ].
% 51.35/51.51 apply (zenon_L514_); trivial.
% 51.35/51.51 apply (zenon_or_s _ _ zenon_H22d); [ zenon_intro zenon_H226 | zenon_intro zenon_H229 ].
% 51.35/51.51 apply (zenon_L529_); trivial.
% 51.35/51.51 apply (zenon_L163_); trivial.
% 51.35/51.51 (* end of lemma zenon_L530_ *)
% 51.35/51.51 assert (zenon_L531_ : (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e20) = (e22))) -> (~((e20) = (e23))) -> (~((e21) = (e23))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (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 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e22) (e21)) = (e22)) -> ((op2 (e20) (e22)) = (e21)) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e20) (e23)) = (e22)) -> (~((e22) = (e23))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((e21) = (op2 (e23) (e23))) -> (~((e20) = (e21))) -> False).
% 51.35/51.51 do 0 intro. intros zenon_H22f zenon_H16f zenon_H205 zenon_H1f7 zenon_H245 zenon_H244 zenon_H1ec zenon_H1bd zenon_H1e6 zenon_H19b zenon_H1cc zenon_H1cd zenon_H1f3 zenon_H187 zenon_H18e zenon_H15e zenon_H14 zenon_H195 zenon_H226 zenon_H293 zenon_H36d zenon_H175 zenon_H1ac zenon_H1fa zenon_H14e zenon_H210.
% 51.35/51.51 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H235 ].
% 51.35/51.51 apply (zenon_L183_); trivial.
% 51.35/51.51 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H1a8 | zenon_intro zenon_H236 ].
% 51.35/51.51 apply (zenon_L243_); trivial.
% 51.35/51.51 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1c9 | zenon_intro zenon_H20f ].
% 51.35/51.51 apply (zenon_L519_); trivial.
% 51.35/51.51 apply (zenon_L154_); trivial.
% 51.35/51.51 (* end of lemma zenon_L531_ *)
% 51.35/51.51 assert (zenon_L532_ : (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((op2 (e21) (e20)) = (e22)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e22) = (e23))) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e20) (e22)) = (e21)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> ((op2 (e23) (e20)) = (e23)) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((e21) = (e23))) -> (~((e20) = (e23))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((e20) = (e22))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (~((e20) = (e21))) -> False).
% 51.35/51.51 do 0 intro. intros zenon_H22b zenon_H164 zenon_H16e zenon_H36a zenon_H1fa zenon_H1ac zenon_H175 zenon_H36d zenon_H293 zenon_H195 zenon_H15e zenon_H18e zenon_H187 zenon_H1f3 zenon_H1cd zenon_H1cc zenon_H19b zenon_H1e6 zenon_H1bd zenon_H1ec zenon_H244 zenon_H245 zenon_H1f7 zenon_H205 zenon_H22f zenon_H214 zenon_H1fd zenon_H16f zenon_H209 zenon_H14 zenon_H14e zenon_H210.
% 51.35/51.51 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H165 | zenon_intro zenon_H22c ].
% 51.35/51.51 apply (zenon_L117_); trivial.
% 51.35/51.51 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H17c | zenon_intro zenon_H22d ].
% 51.35/51.51 apply (zenon_L514_); trivial.
% 51.35/51.51 apply (zenon_or_s _ _ zenon_H22d); [ zenon_intro zenon_H226 | zenon_intro zenon_H229 ].
% 51.35/51.51 apply (zenon_L531_); trivial.
% 51.35/51.51 apply (zenon_L163_); trivial.
% 51.35/51.51 (* end of lemma zenon_L532_ *)
% 51.35/51.51 assert (zenon_L533_ : (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((e20) = (e21))) -> ((e21) = (op2 (e23) (e23))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((e20) = (e22))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e20) = (e23))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e21) (e20)) = (e22)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e22)) = (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 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((e21) = (e23))) -> ((op2 (e20) (e22)) = (e21)) -> ((op2 (e20) (e23)) = (e22)) -> (~((e22) = (e23))) -> False).
% 51.35/51.51 do 0 intro. intros zenon_H258 zenon_H210 zenon_H14e zenon_H14 zenon_H209 zenon_H16f zenon_H1fd zenon_H214 zenon_H22f zenon_H205 zenon_H245 zenon_H1ec zenon_H1bd zenon_H1e6 zenon_H19b zenon_H1cc zenon_H1f3 zenon_H187 zenon_H18e zenon_H15e zenon_H195 zenon_H36d zenon_H1fa zenon_H36a zenon_H16e zenon_H164 zenon_H22b zenon_H24e zenon_H1d7 zenon_H1b1 zenon_H254 zenon_H23c zenon_H24b zenon_H21b zenon_H217 zenon_H21f zenon_H222 zenon_H1a7 zenon_H240 zenon_H13c zenon_H259 zenon_H1f7 zenon_H293 zenon_H175 zenon_H1ac.
% 51.35/51.51 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H238 | zenon_intro zenon_H25a ].
% 51.35/51.51 apply (zenon_L260_); trivial.
% 51.35/51.51 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H244 | zenon_intro zenon_H25b ].
% 51.35/51.51 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H238 | zenon_intro zenon_H25c ].
% 51.35/51.51 apply (zenon_L260_); trivial.
% 51.35/51.51 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H23b | zenon_intro zenon_H25d ].
% 51.35/51.51 apply (zenon_L182_); trivial.
% 51.35/51.51 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H252 | zenon_intro zenon_H1cd ].
% 51.35/51.51 apply (zenon_L530_); trivial.
% 51.35/51.51 apply (zenon_L532_); trivial.
% 51.35/51.51 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H256 | zenon_intro zenon_H1ab ].
% 51.35/51.51 apply (zenon_L429_); trivial.
% 51.35/51.51 apply (zenon_L132_); trivial.
% 51.35/51.51 (* end of lemma zenon_L533_ *)
% 51.35/51.51 assert (zenon_L534_ : (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((e21) = (e23))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e20) = (e22))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e20) = (e23))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((e20) = (e21))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((op2 (e20) (e20)) = (e20)) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e20)) = (e22)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> ((op2 (e20) (e23)) = (e22)) -> (~((e22) = (e23))) -> False).
% 51.35/51.51 do 0 intro. intros zenon_H258 zenon_H1f7 zenon_H254 zenon_H22f zenon_H16f zenon_H19b zenon_H205 zenon_H245 zenon_H1b1 zenon_H1bd zenon_H1d7 zenon_H210 zenon_H1fa zenon_H187 zenon_H18e zenon_H15e zenon_H195 zenon_H1a7 zenon_H21f zenon_H1fd zenon_H217 zenon_H1f3 zenon_H1cc zenon_H1e6 zenon_H1ec zenon_H214 zenon_H240 zenon_H24e zenon_H13c zenon_H259 zenon_H2b6 zenon_H21b zenon_H21c zenon_H23c zenon_H14e zenon_H14 zenon_H209 zenon_H24b zenon_H175 zenon_H1ac.
% 51.35/51.51 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H238 | zenon_intro zenon_H25a ].
% 51.35/51.51 apply (zenon_L260_); trivial.
% 51.35/51.51 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H244 | zenon_intro zenon_H25b ].
% 51.35/51.51 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H238 | zenon_intro zenon_H25c ].
% 51.35/51.51 apply (zenon_L260_); trivial.
% 51.35/51.51 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H23b | zenon_intro zenon_H25d ].
% 51.35/51.51 apply (zenon_L182_); trivial.
% 51.35/51.51 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H252 | zenon_intro zenon_H1cd ].
% 51.35/51.51 apply (zenon_L191_); trivial.
% 51.35/51.51 apply (zenon_L192_); trivial.
% 51.35/51.51 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H256 | zenon_intro zenon_H1ab ].
% 51.35/51.51 apply (zenon_L263_); trivial.
% 51.35/51.51 apply (zenon_L132_); trivial.
% 51.35/51.51 (* end of lemma zenon_L534_ *)
% 51.35/51.51 assert (zenon_L535_ : (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((op2 (e20) (e22)) = (e21)) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((e21) = (e22))) -> ((op2 (e22) (e20)) = (e21)) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((e21) = (e23))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e20) = (e22))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e20) = (e23))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((e20) = (e21))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((op2 (e20) (e20)) = (e20)) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((e22) = (e23))) -> False).
% 51.35/51.51 do 0 intro. intros zenon_H28d zenon_H168 zenon_H28e zenon_H15d zenon_H293 zenon_H222 zenon_H22b zenon_H164 zenon_H36a zenon_H36d zenon_H288 zenon_H26e zenon_H258 zenon_H1f7 zenon_H254 zenon_H22f zenon_H16f zenon_H19b zenon_H205 zenon_H245 zenon_H1b1 zenon_H1bd zenon_H1d7 zenon_H210 zenon_H1fa zenon_H187 zenon_H18e zenon_H15e zenon_H195 zenon_H1a7 zenon_H21f zenon_H1fd zenon_H217 zenon_H1f3 zenon_H1cc zenon_H1e6 zenon_H1ec zenon_H214 zenon_H240 zenon_H24e zenon_H13c zenon_H259 zenon_H2b6 zenon_H21b zenon_H23c zenon_H14e zenon_H14 zenon_H209 zenon_H24b zenon_H1ac.
% 51.35/51.51 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H15f | zenon_intro zenon_H28f ].
% 51.35/51.51 apply (zenon_L116_); trivial.
% 51.35/51.51 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H165 | zenon_intro zenon_H290 ].
% 51.35/51.51 apply (zenon_L117_); trivial.
% 51.35/51.51 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H169 | zenon_intro zenon_H175 ].
% 51.35/51.51 apply (zenon_L118_); trivial.
% 51.35/51.51 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H15f | zenon_intro zenon_H291 ].
% 51.35/51.51 apply (zenon_L116_); trivial.
% 51.35/51.51 apply (zenon_or_s _ _ zenon_H291); [ zenon_intro zenon_H16e | zenon_intro zenon_H292 ].
% 51.35/51.51 apply (zenon_L533_); trivial.
% 51.35/51.51 apply (zenon_or_s _ _ zenon_H292); [ zenon_intro zenon_H176 | zenon_intro zenon_H21c ].
% 51.35/51.51 apply (zenon_L223_); trivial.
% 51.35/51.51 apply (zenon_L534_); trivial.
% 51.35/51.51 (* end of lemma zenon_L535_ *)
% 51.35/51.51 assert (zenon_L536_ : ((op2 (e22) (e20)) = (e22)) -> ((op2 (e22) (e20)) = (e23)) -> (~((e22) = (e23))) -> False).
% 51.35/51.51 do 0 intro. intros zenon_H176 zenon_H252 zenon_H1ac.
% 51.35/51.51 elim (classic ((e23) = (e23))); [ zenon_intro zenon_H1ad | zenon_intro zenon_H14c ].
% 51.35/51.51 cut (((e23) = (e23)) = ((e22) = (e23))).
% 51.35/51.51 intro zenon_D_pnotp.
% 51.35/51.51 apply zenon_H1ac.
% 51.35/51.51 rewrite <- zenon_D_pnotp.
% 51.35/51.51 exact zenon_H1ad.
% 51.35/51.51 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H14c].
% 51.35/51.51 cut (((e23) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H1ae].
% 51.35/51.51 congruence.
% 51.35/51.51 cut (((op2 (e22) (e20)) = (e22)) = ((e23) = (e22))).
% 51.35/51.51 intro zenon_D_pnotp.
% 51.35/51.51 apply zenon_H1ae.
% 51.35/51.51 rewrite <- zenon_D_pnotp.
% 51.35/51.51 exact zenon_H176.
% 51.35/51.51 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H171].
% 51.35/51.51 cut (((op2 (e22) (e20)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H2a0].
% 51.35/51.51 congruence.
% 51.35/51.51 exact (zenon_H2a0 zenon_H252).
% 51.35/51.51 apply zenon_H171. apply refl_equal.
% 51.35/51.51 apply zenon_H14c. apply refl_equal.
% 51.35/51.51 apply zenon_H14c. apply refl_equal.
% 51.35/51.51 (* end of lemma zenon_L536_ *)
% 51.35/51.51 assert (zenon_L537_ : (~((op2 (e23) (op2 (e23) (e23))) = (op2 (e20) (e20)))) -> ((op2 (e23) (e21)) = (e20)) -> ((e21) = (op2 (e23) (e23))) -> ((op2 (e20) (e20)) = (e20)) -> False).
% 51.35/51.51 do 0 intro. intros zenon_H370 zenon_H203 zenon_H14e zenon_H13c.
% 51.35/51.51 cut (((op2 (e23) (e21)) = (e20)) = ((op2 (e23) (op2 (e23) (e23))) = (op2 (e20) (e20)))).
% 51.35/51.51 intro zenon_D_pnotp.
% 51.35/51.51 apply zenon_H370.
% 51.35/51.51 rewrite <- zenon_D_pnotp.
% 51.35/51.51 exact zenon_H203.
% 51.35/51.51 cut (((e20) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H15b].
% 51.35/51.51 cut (((op2 (e23) (e21)) = (op2 (e23) (op2 (e23) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H279].
% 51.35/51.51 congruence.
% 51.35/51.51 elim (classic ((op2 (e23) (op2 (e23) (e23))) = (op2 (e23) (op2 (e23) (e23))))); [ zenon_intro zenon_H27a | zenon_intro zenon_H27b ].
% 51.35/51.51 cut (((op2 (e23) (op2 (e23) (e23))) = (op2 (e23) (op2 (e23) (e23)))) = ((op2 (e23) (e21)) = (op2 (e23) (op2 (e23) (e23))))).
% 51.35/51.51 intro zenon_D_pnotp.
% 51.35/51.51 apply zenon_H279.
% 51.35/51.51 rewrite <- zenon_D_pnotp.
% 51.35/51.51 exact zenon_H27a.
% 51.35/51.51 cut (((op2 (e23) (op2 (e23) (e23))) = (op2 (e23) (op2 (e23) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H27b].
% 51.35/51.51 cut (((op2 (e23) (op2 (e23) (e23))) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H14d].
% 51.35/51.51 congruence.
% 51.35/51.51 apply (zenon_L112_); trivial.
% 51.35/51.51 apply zenon_H27b. apply refl_equal.
% 51.35/51.51 apply zenon_H27b. apply refl_equal.
% 51.35/51.51 apply zenon_H15b. apply sym_equal. exact zenon_H13c.
% 51.35/51.51 (* end of lemma zenon_L537_ *)
% 51.35/51.51 assert (zenon_L538_ : ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e21) (e20)) = (e20)) -> ((op2 (e23) (e21)) = (e20)) -> ((op2 (e20) (e20)) = (e20)) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> False).
% 51.35/51.51 do 0 intro. intros zenon_H14 zenon_H16d zenon_H203 zenon_H13c zenon_H14e zenon_H240.
% 51.35/51.51 elim (classic ((op2 (e21) (e20)) = (op2 (e21) (e20)))); [ zenon_intro zenon_H371 | zenon_intro zenon_H1aa ].
% 51.35/51.51 cut (((op2 (e21) (e20)) = (op2 (e21) (e20))) = ((op2 (e20) (e20)) = (op2 (e21) (e20)))).
% 51.35/51.51 intro zenon_D_pnotp.
% 51.35/51.51 apply zenon_H240.
% 51.35/51.51 rewrite <- zenon_D_pnotp.
% 51.35/51.51 exact zenon_H371.
% 51.35/51.51 cut (((op2 (e21) (e20)) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1aa].
% 51.35/51.51 cut (((op2 (e21) (e20)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H372].
% 51.35/51.51 congruence.
% 51.35/51.51 cut (((e20) = (op2 (e23) (op2 (e23) (e23)))) = ((op2 (e21) (e20)) = (op2 (e20) (e20)))).
% 51.35/51.51 intro zenon_D_pnotp.
% 51.35/51.51 apply zenon_H372.
% 51.35/51.51 rewrite <- zenon_D_pnotp.
% 51.35/51.51 exact zenon_H14.
% 51.35/51.51 cut (((op2 (e23) (op2 (e23) (e23))) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H370].
% 51.35/51.51 cut (((e20) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H373].
% 51.35/51.51 congruence.
% 51.35/51.51 elim (classic ((op2 (e21) (e20)) = (op2 (e21) (e20)))); [ zenon_intro zenon_H371 | zenon_intro zenon_H1aa ].
% 51.35/51.51 cut (((op2 (e21) (e20)) = (op2 (e21) (e20))) = ((e20) = (op2 (e21) (e20)))).
% 51.35/51.51 intro zenon_D_pnotp.
% 51.35/51.51 apply zenon_H373.
% 51.35/51.51 rewrite <- zenon_D_pnotp.
% 51.35/51.51 exact zenon_H371.
% 51.35/51.51 cut (((op2 (e21) (e20)) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1aa].
% 51.35/51.51 cut (((op2 (e21) (e20)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H374].
% 51.35/51.51 congruence.
% 51.35/51.51 exact (zenon_H374 zenon_H16d).
% 51.35/51.51 apply zenon_H1aa. apply refl_equal.
% 51.35/51.51 apply zenon_H1aa. apply refl_equal.
% 51.35/51.51 apply (zenon_L537_); trivial.
% 51.35/51.51 apply zenon_H1aa. apply refl_equal.
% 51.35/51.51 apply zenon_H1aa. apply refl_equal.
% 51.35/51.51 (* end of lemma zenon_L538_ *)
% 51.35/51.51 assert (zenon_L539_ : (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> ((op2 (e21) (e20)) = (e20)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (~((e20) = (e21))) -> False).
% 51.35/51.51 do 0 intro. intros zenon_H214 zenon_H1fd zenon_H240 zenon_H13c zenon_H16d zenon_H209 zenon_H14 zenon_H14e zenon_H210.
% 51.35/51.51 apply (zenon_or_s _ _ zenon_H214); [ zenon_intro zenon_H1fe | zenon_intro zenon_H215 ].
% 51.35/51.51 apply (zenon_L151_); trivial.
% 51.35/51.51 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H203 | zenon_intro zenon_H216 ].
% 51.35/51.51 apply (zenon_L538_); trivial.
% 51.35/51.51 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H208 | zenon_intro zenon_H20f ].
% 51.35/51.51 apply (zenon_L153_); trivial.
% 51.35/51.51 apply (zenon_L154_); trivial.
% 51.35/51.51 (* end of lemma zenon_L539_ *)
% 51.35/51.51 assert (zenon_L540_ : (~((h4 (op1 (e11) (e11))) = (op2 (h4 (e11)) (h4 (e11))))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((op1 (e11) (e11)) = (e12)) -> ((op2 (e21) (e21)) = (e22)) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((e21) = (op2 (e23) (e23))) -> False).
% 51.35/51.51 do 0 intro. intros zenon_H375 zenon_H349 zenon_H2c6 zenon_H17c zenon_H15e zenon_H2e7 zenon_H14e.
% 51.35/51.51 cut (((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) = ((h4 (op1 (e11) (e11))) = (op2 (h4 (e11)) (h4 (e11))))).
% 51.35/51.51 intro zenon_D_pnotp.
% 51.35/51.51 apply zenon_H375.
% 51.35/51.51 rewrite <- zenon_D_pnotp.
% 51.35/51.51 exact zenon_H349.
% 51.35/51.51 cut (((op2 (op2 (e23) (op2 (e23) (e23))) (e23)) = (op2 (h4 (e11)) (h4 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H376].
% 51.35/51.51 cut (((h4 (e12)) = (h4 (op1 (e11) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H377].
% 51.35/51.51 congruence.
% 51.35/51.51 elim (classic ((h4 (op1 (e11) (e11))) = (h4 (op1 (e11) (e11))))); [ zenon_intro zenon_H378 | zenon_intro zenon_H379 ].
% 51.35/51.51 cut (((h4 (op1 (e11) (e11))) = (h4 (op1 (e11) (e11)))) = ((h4 (e12)) = (h4 (op1 (e11) (e11))))).
% 51.35/51.51 intro zenon_D_pnotp.
% 51.35/51.51 apply zenon_H377.
% 51.35/51.51 rewrite <- zenon_D_pnotp.
% 51.35/51.51 exact zenon_H378.
% 51.35/51.51 cut (((h4 (op1 (e11) (e11))) = (h4 (op1 (e11) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H379].
% 51.35/51.51 cut (((h4 (op1 (e11) (e11))) = (h4 (e12)))); [idtac | apply NNPP; zenon_intro zenon_H37a].
% 51.35/51.51 congruence.
% 51.35/51.51 cut (((op1 (e11) (e11)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H37b].
% 51.35/51.51 congruence.
% 51.35/51.51 exact (zenon_H37b zenon_H2c6).
% 51.35/51.51 apply zenon_H379. apply refl_equal.
% 51.35/51.51 apply zenon_H379. apply refl_equal.
% 51.35/51.51 elim (classic ((op2 (h4 (e11)) (h4 (e11))) = (op2 (h4 (e11)) (h4 (e11))))); [ zenon_intro zenon_H37c | zenon_intro zenon_H37d ].
% 51.35/51.51 cut (((op2 (h4 (e11)) (h4 (e11))) = (op2 (h4 (e11)) (h4 (e11)))) = ((op2 (op2 (e23) (op2 (e23) (e23))) (e23)) = (op2 (h4 (e11)) (h4 (e11))))).
% 51.35/51.51 intro zenon_D_pnotp.
% 51.35/51.51 apply zenon_H376.
% 51.35/51.51 rewrite <- zenon_D_pnotp.
% 51.35/51.51 exact zenon_H37c.
% 51.35/51.51 cut (((op2 (h4 (e11)) (h4 (e11))) = (op2 (h4 (e11)) (h4 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H37d].
% 51.35/51.51 cut (((op2 (h4 (e11)) (h4 (e11))) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H37e].
% 51.35/51.51 congruence.
% 51.35/51.51 cut (((op2 (e21) (e21)) = (e22)) = ((op2 (h4 (e11)) (h4 (e11))) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23)))).
% 51.35/51.51 intro zenon_D_pnotp.
% 51.35/51.51 apply zenon_H37e.
% 51.35/51.51 rewrite <- zenon_D_pnotp.
% 51.35/51.51 exact zenon_H17c.
% 51.35/51.51 cut (((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H37f].
% 51.35/51.51 cut (((op2 (e21) (e21)) = (op2 (h4 (e11)) (h4 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H380].
% 51.35/51.51 congruence.
% 51.35/51.51 elim (classic ((op2 (h4 (e11)) (h4 (e11))) = (op2 (h4 (e11)) (h4 (e11))))); [ zenon_intro zenon_H37c | zenon_intro zenon_H37d ].
% 51.35/51.51 cut (((op2 (h4 (e11)) (h4 (e11))) = (op2 (h4 (e11)) (h4 (e11)))) = ((op2 (e21) (e21)) = (op2 (h4 (e11)) (h4 (e11))))).
% 51.35/51.51 intro zenon_D_pnotp.
% 51.35/51.51 apply zenon_H380.
% 51.35/51.51 rewrite <- zenon_D_pnotp.
% 51.35/51.51 exact zenon_H37c.
% 51.35/51.51 cut (((op2 (h4 (e11)) (h4 (e11))) = (op2 (h4 (e11)) (h4 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H37d].
% 51.35/51.51 cut (((op2 (h4 (e11)) (h4 (e11))) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H381].
% 51.35/51.51 congruence.
% 51.35/51.51 cut (((h4 (e11)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H2e6].
% 51.35/51.51 cut (((h4 (e11)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H2e6].
% 51.35/51.51 congruence.
% 51.35/51.51 apply (zenon_L326_); trivial.
% 51.35/51.51 apply (zenon_L326_); trivial.
% 51.35/51.51 apply zenon_H37d. apply refl_equal.
% 51.35/51.51 apply zenon_H37d. apply refl_equal.
% 51.35/51.51 exact (zenon_H37f zenon_H15e).
% 51.35/51.51 apply zenon_H37d. apply refl_equal.
% 51.35/51.51 apply zenon_H37d. apply refl_equal.
% 51.35/51.51 (* end of lemma zenon_L540_ *)
% 51.35/51.51 assert (zenon_L541_ : (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((e11) = (e12))) -> ((op1 (e11) (e10)) = (e11)) -> ((e21) = (op2 (e23) (e23))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((op2 (e21) (e21)) = (e22)) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((h4 (op1 (e11) (e11))) = (op2 (h4 (e11)) (h4 (e11))))) -> (~((e10) = (e11))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e10) = (e12))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op1 (e10) (e13)) = (e12)) -> ((op1 (e12) (e10)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> False).
% 51.35/51.51 do 0 intro. intros zenon_H341 zenon_H10b zenon_H108 zenon_H14e zenon_H2e7 zenon_H15e zenon_H17c zenon_H349 zenon_H375 zenon_H8c zenon_H19 zenon_Hc2 zenon_H35 zenon_Hb8 zenon_Hc8 zenon_H49 zenon_H7c zenon_H2ff zenon_Ha2 zenon_H2ba zenon_H2e1 zenon_H2c zenon_H1c zenon_Hab.
% 51.35/51.51 apply (zenon_or_s _ _ zenon_H341); [ zenon_intro zenon_H34 | zenon_intro zenon_H342 ].
% 51.35/51.51 apply (zenon_L99_); trivial.
% 51.35/51.51 apply (zenon_or_s _ _ zenon_H342); [ zenon_intro zenon_H2c6 | zenon_intro zenon_H343 ].
% 51.35/51.51 apply (zenon_L540_); trivial.
% 51.35/51.51 apply (zenon_or_s _ _ zenon_H343); [ zenon_intro zenon_H12b | zenon_intro zenon_Haa ].
% 51.35/51.51 apply (zenon_L333_); trivial.
% 51.35/51.51 apply (zenon_L34_); trivial.
% 51.35/51.51 (* end of lemma zenon_L541_ *)
% 51.35/51.51 assert (zenon_L542_ : (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((e10) = (e11))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e13))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (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) (e10)) = (e10)) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((e10) = (e13))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> ((e21) = (op2 (e23) (e23))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((op2 (e21) (e21)) = (e22)) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((h4 (op1 (e11) (e11))) = (op2 (h4 (e11)) (h4 (e11))))) -> (~((e10) = (e12))) -> ((op1 (e11) (e12)) = (e10)) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> False).
% 51.35/51.51 do 0 intro. intros zenon_H341 zenon_H8c zenon_H19 zenon_Hc2 zenon_Hb8 zenon_Hc8 zenon_Hf8 zenon_H46 zenon_H45 zenon_H125 zenon_Hcf zenon_Ha2 zenon_H9e zenon_H95 zenon_Haf zenon_H4b zenon_Hb5 zenon_Hcb zenon_H3d zenon_Hde zenon_Hd3 zenon_Hda zenon_H2d1 zenon_H24 zenon_H23 zenon_H2c9 zenon_H42 zenon_H90 zenon_H2be zenon_Hb0 zenon_H2db zenon_H2ce zenon_H49 zenon_H54 zenon_H66 zenon_H65 zenon_H72 zenon_H2c5 zenon_H2ba zenon_H2e1 zenon_H14e zenon_H2e7 zenon_H15e zenon_H17c zenon_H349 zenon_H375 zenon_H35 zenon_H126 zenon_H2c zenon_H1c zenon_Hab.
% 51.35/51.51 apply (zenon_or_s _ _ zenon_H341); [ zenon_intro zenon_H34 | zenon_intro zenon_H342 ].
% 51.35/51.51 apply (zenon_L313_); trivial.
% 51.35/51.51 apply (zenon_or_s _ _ zenon_H342); [ zenon_intro zenon_H2c6 | zenon_intro zenon_H343 ].
% 51.35/51.51 apply (zenon_L540_); trivial.
% 51.35/51.51 apply (zenon_or_s _ _ zenon_H343); [ zenon_intro zenon_H12b | zenon_intro zenon_Haa ].
% 51.35/51.51 apply (zenon_L454_); trivial.
% 51.35/51.51 apply (zenon_L34_); trivial.
% 51.35/51.51 (* end of lemma zenon_L542_ *)
% 51.35/51.51 assert (zenon_L543_ : (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((op1 (e13) (e10)) = (e12)) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((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))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> ((op1 (e11) (e10)) = (e11)) -> ((op1 (e10) (e10)) = (e10)) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((e11) = (e13))) -> ((op1 (e10) (e12)) = (e11)) -> ((op1 (e10) (e13)) = (e12)) -> (~((e12) = (e13))) -> False).
% 51.35/51.51 do 0 intro. intros zenon_Hff zenon_He8 zenon_Hf8 zenon_Hb0 zenon_Hea zenon_H9e zenon_Hb5 zenon_H45 zenon_Hcb zenon_Hf0 zenon_Hec zenon_Hf3 zenon_Hc8 zenon_Hb8 zenon_Hde zenon_He1 zenon_H54 zenon_H7d zenon_H42 zenon_Hcf zenon_Hab zenon_Hd3 zenon_H2c zenon_Hda zenon_H35 zenon_H90 zenon_Hc2 zenon_H1c zenon_H19 zenon_H8c zenon_H108 zenon_H23 zenon_Hfb zenon_H3d zenon_H11a zenon_H49 zenon_H4b.
% 51.35/51.51 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H3c | zenon_intro zenon_H102 ].
% 51.35/51.51 apply (zenon_L317_); trivial.
% 51.35/51.51 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_H46 | zenon_intro zenon_H103 ].
% 51.35/51.51 apply (zenon_L407_); trivial.
% 51.35/51.51 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_He6 | zenon_intro zenon_H4a ].
% 51.35/51.51 apply (zenon_L427_); trivial.
% 51.35/51.51 apply (zenon_L15_); trivial.
% 51.35/51.51 (* end of lemma zenon_L543_ *)
% 51.35/51.51 assert (zenon_L544_ : (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((h4 (op1 (e11) (e11))) = (op2 (h4 (e11)) (h4 (e11))))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((op2 (e21) (e21)) = (e22)) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((e21) = (op2 (e23) (e23))) -> (~((e11) = (e12))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((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))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> ((op1 (e11) (e10)) = (e11)) -> ((op1 (e10) (e10)) = (e10)) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((e11) = (e13))) -> ((op1 (e10) (e12)) = (e11)) -> (~((e12) = (e13))) -> False).
% 51.35/51.51 do 0 intro. intros zenon_H32a zenon_H2be zenon_Hfe zenon_H2b zenon_H2e1 zenon_H2ba zenon_Ha2 zenon_H2ff zenon_H375 zenon_H349 zenon_H17c zenon_H15e zenon_H2e7 zenon_H14e zenon_H10b zenon_H341 zenon_Hff zenon_Hf8 zenon_Hb0 zenon_Hea zenon_H9e zenon_Hb5 zenon_H45 zenon_Hcb zenon_Hf0 zenon_Hec zenon_Hf3 zenon_Hc8 zenon_Hb8 zenon_Hde zenon_He1 zenon_H54 zenon_H7d zenon_H42 zenon_Hcf zenon_Hab zenon_Hd3 zenon_H2c zenon_Hda zenon_H35 zenon_H90 zenon_Hc2 zenon_H1c zenon_H19 zenon_H8c zenon_H108 zenon_H23 zenon_Hfb zenon_H3d zenon_H11a zenon_H4b.
% 51.35/51.51 apply (zenon_or_s _ _ zenon_H32a); [ zenon_intro zenon_H2d | zenon_intro zenon_H32b ].
% 51.35/51.51 apply (zenon_L7_); trivial.
% 51.35/51.51 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H2bb | zenon_intro zenon_H32c ].
% 51.35/51.51 apply (zenon_L281_); trivial.
% 51.35/51.51 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H2bf | zenon_intro zenon_H49 ].
% 51.35/51.51 apply (zenon_L282_); trivial.
% 51.35/51.51 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ].
% 51.35/51.51 apply (zenon_L7_); trivial.
% 51.35/51.51 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_H34 | zenon_intro zenon_H101 ].
% 51.35/51.51 apply (zenon_L99_); trivial.
% 51.35/51.51 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_H7c | zenon_intro zenon_He8 ].
% 51.35/51.51 apply (zenon_L541_); trivial.
% 51.35/51.51 apply (zenon_L543_); trivial.
% 51.35/51.51 (* end of lemma zenon_L544_ *)
% 51.35/51.51 assert (zenon_L545_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((e21) = (op2 (e23) (e23))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((op2 (e21) (e21)) = (e22)) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((h4 (op1 (e11) (e11))) = (op2 (h4 (e11)) (h4 (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (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)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e13))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> False).
% 51.35/51.51 do 0 intro. intros zenon_H13b zenon_H318 zenon_H2db zenon_H305 zenon_H311 zenon_H30d zenon_H314 zenon_H2e0 zenon_H2ce zenon_H2d4 zenon_H2d1 zenon_H327 zenon_H345 zenon_H33e zenon_H33a zenon_H31e zenon_H31b zenon_H341 zenon_H14e zenon_H2e7 zenon_H15e zenon_H17c zenon_H349 zenon_H375 zenon_H2ff zenon_H2be zenon_H32a zenon_H2c9 zenon_H2c5 zenon_H2ba zenon_H2e1 zenon_H324 zenon_H1b zenon_H19 zenon_Hb8 zenon_H136 zenon_Hc8 zenon_Hea zenon_Hcf zenon_Hfb zenon_Ha2 zenon_H65 zenon_H95 zenon_H45 zenon_Hf8 zenon_Hff zenon_H113 zenon_H123 zenon_H131 zenon_H125 zenon_H128 zenon_H3d zenon_He1 zenon_H12c zenon_H9e zenon_H42 zenon_H4b zenon_Hb5 zenon_Hf3 zenon_Hc2 zenon_Hec zenon_Hf0 zenon_Hcb zenon_H90 zenon_H10b zenon_H2b zenon_Hfe zenon_H105 zenon_H117 zenon_H8c zenon_Haf zenon_H72 zenon_H7d zenon_H10e zenon_H54 zenon_Hf6 zenon_Hb0 zenon_H24 zenon_H135 zenon_Hde zenon_H35 zenon_Hab zenon_Hd3 zenon_H2c zenon_H1c zenon_Hda.
% 51.35/51.51 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H23 | zenon_intro zenon_H13e ].
% 51.35/51.51 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H3b | zenon_intro zenon_H139 ].
% 51.35/51.51 apply (zenon_or_s _ _ zenon_H32a); [ zenon_intro zenon_H2d | zenon_intro zenon_H32b ].
% 51.35/51.51 apply (zenon_L7_); trivial.
% 51.35/51.51 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H2bb | zenon_intro zenon_H32c ].
% 51.35/51.51 apply (zenon_L281_); trivial.
% 51.35/51.51 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H2bf | zenon_intro zenon_H49 ].
% 51.35/51.51 apply (zenon_L282_); trivial.
% 51.35/51.51 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ].
% 51.35/51.51 apply (zenon_L7_); trivial.
% 51.35/51.51 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_H34 | zenon_intro zenon_H101 ].
% 51.35/51.51 apply (zenon_L325_); trivial.
% 51.35/51.51 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_H7c | zenon_intro zenon_He8 ].
% 51.35/51.51 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H3c | zenon_intro zenon_H102 ].
% 51.35/51.51 apply (zenon_L317_); trivial.
% 51.35/51.51 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_H46 | zenon_intro zenon_H103 ].
% 51.35/51.51 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hfc ].
% 51.35/51.51 apply (zenon_L317_); trivial.
% 51.35/51.51 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H41 | zenon_intro zenon_Hfd ].
% 51.35/51.51 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H33 | zenon_intro zenon_H2e2 ].
% 51.35/51.51 apply (zenon_L12_); trivial.
% 51.35/51.51 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2e3 ].
% 51.35/51.51 apply (zenon_L283_); trivial.
% 51.35/51.51 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H126 | zenon_intro zenon_H50 ].
% 51.35/51.51 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H108 | zenon_intro zenon_H319 ].
% 51.35/51.51 apply (zenon_L541_); trivial.
% 51.35/51.51 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H30b | zenon_intro zenon_H31a ].
% 51.35/51.51 apply (zenon_L455_); trivial.
% 51.35/51.51 apply (zenon_or_s _ _ zenon_H31a); [ zenon_intro zenon_H129 | zenon_intro zenon_Ha5 ].
% 51.35/51.51 apply (zenon_L359_); trivial.
% 51.35/51.51 apply (zenon_L33_); trivial.
% 51.35/51.51 apply (zenon_L369_); trivial.
% 51.35/51.51 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_He2 | zenon_intro zenon_H66 ].
% 51.35/51.51 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H33 | zenon_intro zenon_H2e2 ].
% 51.35/51.51 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H108 | zenon_intro zenon_H319 ].
% 51.35/51.51 apply (zenon_L541_); trivial.
% 51.35/51.51 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H30b | zenon_intro zenon_H31a ].
% 51.35/51.51 apply (zenon_L479_); trivial.
% 51.35/51.51 apply (zenon_or_s _ _ zenon_H31a); [ zenon_intro zenon_H129 | zenon_intro zenon_Ha5 ].
% 51.35/51.51 apply (zenon_L485_); trivial.
% 51.35/51.51 apply (zenon_L33_); trivial.
% 51.35/51.51 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2e3 ].
% 51.35/51.51 apply (zenon_L283_); trivial.
% 51.35/51.51 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H126 | zenon_intro zenon_H50 ].
% 51.35/51.51 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H108 | zenon_intro zenon_H319 ].
% 51.35/51.51 apply (zenon_L541_); trivial.
% 51.35/51.51 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H30b | zenon_intro zenon_H31a ].
% 51.35/51.51 apply (zenon_L479_); trivial.
% 51.35/51.51 apply (zenon_or_s _ _ zenon_H31a); [ zenon_intro zenon_H129 | zenon_intro zenon_Ha5 ].
% 51.35/51.51 apply (zenon_L359_); trivial.
% 51.35/51.51 apply (zenon_L33_); trivial.
% 51.35/51.51 apply (zenon_L377_); trivial.
% 51.35/51.51 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H33 | zenon_intro zenon_H2e2 ].
% 51.35/51.51 apply (zenon_L494_); trivial.
% 51.35/51.51 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2e3 ].
% 51.35/51.51 apply (zenon_L283_); trivial.
% 51.35/51.51 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H126 | zenon_intro zenon_H50 ].
% 51.35/51.51 apply (zenon_L542_); trivial.
% 51.35/51.51 apply (zenon_L377_); trivial.
% 51.35/51.51 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_He6 | zenon_intro zenon_H4a ].
% 51.35/51.51 apply (zenon_L378_); trivial.
% 51.35/51.51 apply (zenon_L335_); trivial.
% 51.35/51.51 apply (zenon_L384_); trivial.
% 51.35/51.51 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H104 | zenon_intro zenon_H13a ].
% 51.35/51.51 apply (zenon_L426_); trivial.
% 51.35/51.51 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H11a | zenon_intro zenon_H11c ].
% 51.35/51.51 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H3b | zenon_intro zenon_H118 ].
% 51.35/51.51 apply (zenon_or_s _ _ zenon_H32a); [ zenon_intro zenon_H2d | zenon_intro zenon_H32b ].
% 51.35/51.51 apply (zenon_L7_); trivial.
% 51.35/51.51 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H2bb | zenon_intro zenon_H32c ].
% 51.35/51.51 apply (zenon_L281_); trivial.
% 51.35/51.51 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H2bf | zenon_intro zenon_H49 ].
% 51.35/51.51 apply (zenon_L282_); trivial.
% 51.35/51.51 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ].
% 51.35/51.51 apply (zenon_L7_); trivial.
% 51.35/51.51 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_H34 | zenon_intro zenon_H101 ].
% 51.35/51.51 apply (zenon_L325_); trivial.
% 51.35/51.51 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_H7c | zenon_intro zenon_He8 ].
% 51.35/51.51 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H3c | zenon_intro zenon_H102 ].
% 51.35/51.51 apply (zenon_L11_); trivial.
% 51.35/51.51 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_H46 | zenon_intro zenon_H103 ].
% 51.35/51.51 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hfc ].
% 51.35/51.51 apply (zenon_L11_); trivial.
% 51.35/51.51 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H41 | zenon_intro zenon_Hfd ].
% 51.35/51.51 apply (zenon_L502_); trivial.
% 51.35/51.51 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_He2 | zenon_intro zenon_H66 ].
% 51.35/51.51 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H108 | zenon_intro zenon_H319 ].
% 51.35/51.51 apply (zenon_L544_); trivial.
% 51.35/51.51 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H30b | zenon_intro zenon_H31a ].
% 51.35/51.51 apply (zenon_L479_); trivial.
% 51.35/51.51 apply (zenon_or_s _ _ zenon_H31a); [ zenon_intro zenon_H129 | zenon_intro zenon_Ha5 ].
% 51.35/51.51 apply (zenon_L482_); trivial.
% 51.35/51.51 apply (zenon_L33_); trivial.
% 51.35/51.51 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H33 | zenon_intro zenon_H2e2 ].
% 51.35/51.51 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H108 | zenon_intro zenon_H319 ].
% 51.35/51.51 apply (zenon_L544_); trivial.
% 51.35/51.51 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H30b | zenon_intro zenon_H31a ].
% 51.35/51.51 apply (zenon_L492_); trivial.
% 51.35/51.51 apply (zenon_or_s _ _ zenon_H31a); [ zenon_intro zenon_H129 | zenon_intro zenon_Ha5 ].
% 51.35/51.51 apply (zenon_L482_); trivial.
% 51.35/51.51 apply (zenon_L33_); trivial.
% 51.35/51.51 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2e3 ].
% 51.35/51.51 apply (zenon_L283_); trivial.
% 51.35/51.51 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H126 | zenon_intro zenon_H50 ].
% 51.35/51.51 apply (zenon_L542_); trivial.
% 51.35/51.51 apply (zenon_L377_); trivial.
% 51.35/51.51 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_He6 | zenon_intro zenon_H4a ].
% 51.35/51.51 apply (zenon_L378_); trivial.
% 51.35/51.51 apply (zenon_L15_); trivial.
% 51.35/51.51 apply (zenon_L384_); trivial.
% 51.35/51.51 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H108 | zenon_intro zenon_H119 ].
% 51.35/51.51 apply (zenon_L544_); trivial.
% 51.35/51.51 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H10a | zenon_intro zenon_H114 ].
% 51.35/51.51 apply (zenon_L512_); trivial.
% 51.35/51.51 apply (zenon_L82_); trivial.
% 51.35/51.51 apply (zenon_L85_); trivial.
% 51.35/51.51 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H1d | zenon_intro zenon_H14b ].
% 51.35/51.51 apply (zenon_L4_); trivial.
% 51.35/51.51 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H22 | zenon_intro zenon_H4e ].
% 51.35/51.51 apply (zenon_L109_); trivial.
% 51.35/51.51 apply (zenon_L47_); trivial.
% 51.35/51.51 (* end of lemma zenon_L545_ *)
% 51.35/51.51 assert (zenon_L546_ : ((op2 (e21) (e22)) = (e20)) -> ((op2 (e21) (e22)) = (e22)) -> (~((e20) = (e22))) -> False).
% 51.35/51.51 do 0 intro. intros zenon_H277 zenon_H17f zenon_H16f.
% 51.35/51.51 elim (classic ((e22) = (e22))); [ zenon_intro zenon_H170 | zenon_intro zenon_H171 ].
% 51.35/51.51 cut (((e22) = (e22)) = ((e20) = (e22))).
% 51.35/51.51 intro zenon_D_pnotp.
% 51.35/51.51 apply zenon_H16f.
% 51.35/51.51 rewrite <- zenon_D_pnotp.
% 51.35/51.51 exact zenon_H170.
% 51.35/51.51 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H171].
% 51.35/51.51 cut (((e22) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H172].
% 51.35/51.51 congruence.
% 51.35/51.51 cut (((op2 (e21) (e22)) = (e20)) = ((e22) = (e20))).
% 51.35/51.51 intro zenon_D_pnotp.
% 51.35/51.51 apply zenon_H172.
% 51.35/51.51 rewrite <- zenon_D_pnotp.
% 51.35/51.51 exact zenon_H277.
% 51.35/51.51 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H16c].
% 51.35/51.52 cut (((op2 (e21) (e22)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H185].
% 51.35/51.52 congruence.
% 51.35/51.52 exact (zenon_H185 zenon_H17f).
% 51.35/51.52 apply zenon_H16c. apply refl_equal.
% 51.35/51.52 apply zenon_H171. apply refl_equal.
% 51.35/51.52 apply zenon_H171. apply refl_equal.
% 51.35/51.52 (* end of lemma zenon_L546_ *)
% 51.35/51.52 assert (zenon_L547_ : (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((e20) = (e22))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((h4 (op1 (e11) (e11))) = (op2 (h4 (e11)) (h4 (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (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)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e13))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e20) (e22)) = (e21)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((e20) = (e21))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e22) = (e23))) -> (~((e20) = (e23))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e23) (e20)) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e20) (e23)) = (e22)) -> (~((e21) = (e23))) -> ((e21) = (op2 (e23) (e23))) -> False).
% 51.35/51.52 do 0 intro. intros zenon_H2a6 zenon_H13c zenon_H240 zenon_H26d zenon_H187 zenon_H14 zenon_H15e zenon_H16f zenon_H13b zenon_H318 zenon_H2db zenon_H305 zenon_H311 zenon_H30d zenon_H314 zenon_H2e0 zenon_H2ce zenon_H2d4 zenon_H2d1 zenon_H327 zenon_H345 zenon_H33e zenon_H33a zenon_H31e zenon_H31b zenon_H341 zenon_H2e7 zenon_H349 zenon_H375 zenon_H2ff zenon_H2be zenon_H32a zenon_H2c9 zenon_H2c5 zenon_H2ba zenon_H2e1 zenon_H324 zenon_H1b zenon_H19 zenon_Hb8 zenon_H136 zenon_Hc8 zenon_Hea zenon_Hcf zenon_Hfb zenon_Ha2 zenon_H65 zenon_H95 zenon_H45 zenon_Hf8 zenon_Hff zenon_H113 zenon_H123 zenon_H131 zenon_H125 zenon_H128 zenon_H3d zenon_He1 zenon_H12c zenon_H9e zenon_H42 zenon_H4b zenon_Hb5 zenon_Hf3 zenon_Hc2 zenon_Hec zenon_Hf0 zenon_Hcb zenon_H90 zenon_H10b zenon_H2b zenon_Hfe zenon_H105 zenon_H117 zenon_H8c zenon_Haf zenon_H72 zenon_H7d zenon_H10e zenon_H54 zenon_Hf6 zenon_Hb0 zenon_H24 zenon_H135 zenon_Hde zenon_H35 zenon_Hab zenon_Hd3 zenon_H2c zenon_H1c zenon_Hda zenon_H22b zenon_H164 zenon_H36a zenon_H36d zenon_H293 zenon_H195 zenon_H18e zenon_H1f3 zenon_H19b zenon_H1bd zenon_H22f zenon_H214 zenon_H1fd zenon_H209 zenon_H210 zenon_H22e zenon_H1fa zenon_H1ac zenon_H205 zenon_H245 zenon_H244 zenon_H1ec zenon_H1cc zenon_H1cd zenon_H1e6 zenon_H175 zenon_H1f7 zenon_H14e.
% 51.35/51.52 apply (zenon_or_s _ _ zenon_H2a6); [ zenon_intro zenon_H16d | zenon_intro zenon_H2ac ].
% 51.35/51.52 apply (zenon_L539_); trivial.
% 51.35/51.52 apply (zenon_or_s _ _ zenon_H2ac); [ zenon_intro zenon_H2a1 | zenon_intro zenon_H2ad ].
% 51.35/51.52 apply (zenon_L246_); trivial.
% 51.35/51.52 apply (zenon_or_s _ _ zenon_H2ad); [ zenon_intro zenon_H277 | zenon_intro zenon_H1a8 ].
% 51.35/51.52 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H16e | zenon_intro zenon_H231 ].
% 51.35/51.52 apply (zenon_L532_); trivial.
% 51.35/51.52 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_H17c | zenon_intro zenon_H232 ].
% 51.35/51.52 apply (zenon_L545_); trivial.
% 51.35/51.52 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H17f | zenon_intro zenon_H186 ].
% 51.35/51.52 apply (zenon_L546_); trivial.
% 51.35/51.52 apply (zenon_L124_); trivial.
% 51.35/51.52 apply (zenon_L243_); trivial.
% 51.35/51.52 (* end of lemma zenon_L547_ *)
% 51.35/51.52 assert (zenon_L548_ : (~((h4 (op1 (e11) (e12))) = (op2 (h4 (e11)) (h4 (e12))))) -> ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) -> ((op1 (e11) (e12)) = (e10)) -> ((op2 (e21) (e22)) = (e20)) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((e21) = (op2 (e23) (e23))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> False).
% 51.35/51.52 do 0 intro. intros zenon_H382 zenon_H13 zenon_H126 zenon_H277 zenon_H14 zenon_H2e7 zenon_H14e zenon_H349 zenon_H15e.
% 51.35/51.52 cut (((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) = ((h4 (op1 (e11) (e12))) = (op2 (h4 (e11)) (h4 (e12))))).
% 51.35/51.52 intro zenon_D_pnotp.
% 51.35/51.52 apply zenon_H382.
% 51.35/51.52 rewrite <- zenon_D_pnotp.
% 51.35/51.52 exact zenon_H13.
% 51.35/51.52 cut (((op2 (e23) (op2 (e23) (e23))) = (op2 (h4 (e11)) (h4 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H383].
% 51.35/51.52 cut (((h4 (e10)) = (h4 (op1 (e11) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H384].
% 51.35/51.52 congruence.
% 51.35/51.52 elim (classic ((h4 (op1 (e11) (e12))) = (h4 (op1 (e11) (e12))))); [ zenon_intro zenon_H385 | zenon_intro zenon_H386 ].
% 51.35/51.52 cut (((h4 (op1 (e11) (e12))) = (h4 (op1 (e11) (e12)))) = ((h4 (e10)) = (h4 (op1 (e11) (e12))))).
% 51.35/51.52 intro zenon_D_pnotp.
% 51.35/51.52 apply zenon_H384.
% 51.35/51.52 rewrite <- zenon_D_pnotp.
% 51.35/51.52 exact zenon_H385.
% 51.35/51.52 cut (((h4 (op1 (e11) (e12))) = (h4 (op1 (e11) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H386].
% 51.35/51.52 cut (((h4 (op1 (e11) (e12))) = (h4 (e10)))); [idtac | apply NNPP; zenon_intro zenon_H387].
% 51.35/51.52 congruence.
% 51.35/51.52 cut (((op1 (e11) (e12)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H388].
% 51.35/51.52 congruence.
% 51.35/51.52 exact (zenon_H388 zenon_H126).
% 51.35/51.52 apply zenon_H386. apply refl_equal.
% 51.35/51.52 apply zenon_H386. apply refl_equal.
% 51.35/51.52 elim (classic ((op2 (h4 (e11)) (h4 (e12))) = (op2 (h4 (e11)) (h4 (e12))))); [ zenon_intro zenon_H389 | zenon_intro zenon_H38a ].
% 51.35/51.52 cut (((op2 (h4 (e11)) (h4 (e12))) = (op2 (h4 (e11)) (h4 (e12)))) = ((op2 (e23) (op2 (e23) (e23))) = (op2 (h4 (e11)) (h4 (e12))))).
% 51.35/51.52 intro zenon_D_pnotp.
% 51.35/51.52 apply zenon_H383.
% 51.35/51.52 rewrite <- zenon_D_pnotp.
% 51.35/51.52 exact zenon_H389.
% 51.35/51.52 cut (((op2 (h4 (e11)) (h4 (e12))) = (op2 (h4 (e11)) (h4 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H38a].
% 51.35/51.52 cut (((op2 (h4 (e11)) (h4 (e12))) = (op2 (e23) (op2 (e23) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H38b].
% 51.35/51.52 congruence.
% 51.35/51.52 cut (((op2 (e21) (e22)) = (e20)) = ((op2 (h4 (e11)) (h4 (e12))) = (op2 (e23) (op2 (e23) (e23))))).
% 51.35/51.52 intro zenon_D_pnotp.
% 51.35/51.52 apply zenon_H38b.
% 51.35/51.52 rewrite <- zenon_D_pnotp.
% 51.35/51.52 exact zenon_H277.
% 51.35/51.52 cut (((e20) = (op2 (e23) (op2 (e23) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H148].
% 51.35/51.52 cut (((op2 (e21) (e22)) = (op2 (h4 (e11)) (h4 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H38c].
% 51.35/51.52 congruence.
% 51.35/51.52 elim (classic ((op2 (h4 (e11)) (h4 (e12))) = (op2 (h4 (e11)) (h4 (e12))))); [ zenon_intro zenon_H389 | zenon_intro zenon_H38a ].
% 51.35/51.52 cut (((op2 (h4 (e11)) (h4 (e12))) = (op2 (h4 (e11)) (h4 (e12)))) = ((op2 (e21) (e22)) = (op2 (h4 (e11)) (h4 (e12))))).
% 51.35/51.52 intro zenon_D_pnotp.
% 51.35/51.52 apply zenon_H38c.
% 51.35/51.52 rewrite <- zenon_D_pnotp.
% 51.35/51.52 exact zenon_H389.
% 51.35/51.52 cut (((op2 (h4 (e11)) (h4 (e12))) = (op2 (h4 (e11)) (h4 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H38a].
% 51.35/51.52 cut (((op2 (h4 (e11)) (h4 (e12))) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H38d].
% 51.35/51.52 congruence.
% 51.35/51.52 cut (((h4 (e12)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H348].
% 51.35/51.52 cut (((h4 (e11)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H2e6].
% 51.35/51.52 congruence.
% 51.35/51.52 apply (zenon_L326_); trivial.
% 51.35/51.52 apply (zenon_L487_); trivial.
% 51.35/51.52 apply zenon_H38a. apply refl_equal.
% 51.35/51.52 apply zenon_H38a. apply refl_equal.
% 51.35/51.52 exact (zenon_H148 zenon_H14).
% 51.35/51.52 apply zenon_H38a. apply refl_equal.
% 51.35/51.52 apply zenon_H38a. apply refl_equal.
% 51.35/51.52 (* end of lemma zenon_L548_ *)
% 51.35/51.52 assert (zenon_L549_ : (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e12)) = (e13)) -> (~((e10) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> False).
% 51.35/51.52 do 0 intro. intros zenon_Hc8 zenon_Hb8 zenon_H3d zenon_Hcb zenon_Ha3 zenon_H42 zenon_Hb5 zenon_H4b zenon_Ha2 zenon_H9e zenon_H65 zenon_H50 zenon_H95 zenon_H49 zenon_Hcf zenon_Hc2 zenon_H1c zenon_H19 zenon_H8c.
% 51.35/51.52 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hc9 ].
% 51.35/51.52 apply (zenon_L39_); trivial.
% 51.35/51.52 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hca ].
% 51.35/51.52 apply (zenon_L286_); trivial.
% 51.35/51.52 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H8b ].
% 51.35/51.52 apply (zenon_L41_); trivial.
% 51.35/51.52 apply (zenon_L24_); trivial.
% 51.35/51.52 (* end of lemma zenon_L549_ *)
% 51.35/51.52 assert (zenon_L550_ : (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((op1 (e11) (e10)) = (e11)) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((e10) = (e11))) -> ((e11) = (op1 (e13) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op1 (e11) (e13)) = (e10)) -> (~((e10) = (e13))) -> False).
% 51.35/51.52 do 0 intro. intros zenon_Hf8 zenon_H108 zenon_H46 zenon_H45 zenon_H8c zenon_H19 zenon_H1c zenon_Hc2 zenon_Hcf zenon_H49 zenon_H95 zenon_H65 zenon_H9e zenon_Ha2 zenon_H4b zenon_Hb5 zenon_Hcb zenon_H3d zenon_Hb8 zenon_Hc8 zenon_H50 zenon_H42.
% 51.35/51.52 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H41 | zenon_intro zenon_Hf9 ].
% 51.35/51.52 apply (zenon_L328_); trivial.
% 51.35/51.52 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H47 | zenon_intro zenon_Hfa ].
% 51.35/51.52 apply (zenon_L13_); trivial.
% 51.35/51.52 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H51 ].
% 51.35/51.52 apply (zenon_L549_); trivial.
% 51.35/51.52 apply (zenon_L17_); trivial.
% 51.35/51.52 (* end of lemma zenon_L550_ *)
% 51.35/51.52 assert (zenon_L551_ : (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e21) = (op2 (e23) (e23))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e21) (e22)) = (e20)) -> ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) -> (~((h4 (op1 (e11) (e12))) = (op2 (h4 (e11)) (h4 (e12))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((op1 (e11) (e10)) = (e11)) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((e10) = (e11))) -> ((e11) = (op1 (e13) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e13))) -> False).
% 51.35/51.52 do 0 intro. intros zenon_H2e0 zenon_H10e zenon_H15e zenon_H349 zenon_H14e zenon_H2e7 zenon_H14 zenon_H277 zenon_H13 zenon_H382 zenon_Hf8 zenon_H108 zenon_H46 zenon_H45 zenon_H8c zenon_H19 zenon_H1c zenon_Hc2 zenon_Hcf zenon_H49 zenon_H95 zenon_H65 zenon_H9e zenon_Ha2 zenon_H4b zenon_Hb5 zenon_Hcb zenon_H3d zenon_Hb8 zenon_Hc8 zenon_H42.
% 51.35/51.52 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H33 | zenon_intro zenon_H2e2 ].
% 51.35/51.52 apply (zenon_L74_); trivial.
% 51.35/51.52 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2e3 ].
% 51.35/51.52 apply (zenon_L283_); trivial.
% 51.35/51.52 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H126 | zenon_intro zenon_H50 ].
% 51.35/51.52 apply (zenon_L548_); trivial.
% 51.35/51.52 apply (zenon_L550_); trivial.
% 51.35/51.52 (* end of lemma zenon_L551_ *)
% 51.35/51.52 assert (zenon_L552_ : (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e21) = (op2 (e23) (e23))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e21) (e22)) = (e20)) -> ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) -> (~((h4 (op1 (e11) (e12))) = (op2 (h4 (e11)) (h4 (e12))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((e11) = (e13))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (e10)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((e10) = (e12))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op1 (e12) (e10)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e13) (e10)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((e10) = (e13))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e11))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False).
% 51.35/51.52 do 0 intro. intros zenon_H2e0 zenon_H10e zenon_H15e zenon_H349 zenon_H14e zenon_H2e7 zenon_H14 zenon_H277 zenon_H13 zenon_H382 zenon_H324 zenon_H24 zenon_H23 zenon_H2db zenon_Hda zenon_H2c zenon_Hd3 zenon_Hab zenon_H3d zenon_H131 zenon_H12c zenon_H108 zenon_H128 zenon_H35 zenon_Hb8 zenon_Hc8 zenon_H7c zenon_H2ff zenon_H2ba zenon_H2e1 zenon_Hb0 zenon_Ha2 zenon_H9e zenon_H65 zenon_H66 zenon_H95 zenon_H54 zenon_Haf zenon_H42 zenon_H4b zenon_Hb5 zenon_H8c zenon_Hde zenon_H1c zenon_H19 zenon_Hc2.
% 51.35/51.52 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H33 | zenon_intro zenon_H2e2 ].
% 51.35/51.52 apply (zenon_L74_); trivial.
% 51.35/51.52 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2e3 ].
% 51.35/51.52 apply (zenon_L283_); trivial.
% 51.35/51.52 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H126 | zenon_intro zenon_H50 ].
% 51.35/51.52 apply (zenon_L548_); trivial.
% 51.35/51.52 apply (zenon_L405_); trivial.
% 51.35/51.52 (* end of lemma zenon_L552_ *)
% 51.35/51.52 assert (zenon_L553_ : (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((op1 (e10) (e10)) = (e10)) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((op1 (e11) (e10)) = (e11)) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((h4 (op1 (e11) (e12))) = (op2 (h4 (e11)) (h4 (e12))))) -> ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e21) (e22)) = (e20)) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((e21) = (op2 (e23) (e23))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((e11) = (e13))) -> ((op1 (e10) (e12)) = (e11)) -> (~((e12) = (e13))) -> False).
% 51.35/51.52 do 0 intro. intros zenon_H32a zenon_H2b zenon_H2ba zenon_H2c zenon_H2be zenon_Hff zenon_H23 zenon_H42 zenon_Hc8 zenon_Hb8 zenon_Hcb zenon_Hb5 zenon_Ha2 zenon_H9e zenon_H65 zenon_H95 zenon_Hcf zenon_Hc2 zenon_H1c zenon_H19 zenon_H8c zenon_H45 zenon_H108 zenon_Hf8 zenon_H382 zenon_H13 zenon_H277 zenon_H14 zenon_H2e7 zenon_H14e zenon_H349 zenon_H15e zenon_H10e zenon_H2e0 zenon_H3d zenon_H11a zenon_H4b.
% 51.35/51.52 apply (zenon_or_s _ _ zenon_H32a); [ zenon_intro zenon_H2d | zenon_intro zenon_H32b ].
% 51.35/51.52 apply (zenon_L7_); trivial.
% 51.35/51.52 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H2bb | zenon_intro zenon_H32c ].
% 51.35/51.52 apply (zenon_L281_); trivial.
% 51.35/51.52 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H2bf | zenon_intro zenon_H49 ].
% 51.35/51.52 apply (zenon_L282_); trivial.
% 51.35/51.52 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H3c | zenon_intro zenon_H102 ].
% 51.35/51.52 apply (zenon_L317_); trivial.
% 51.35/51.52 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_H46 | zenon_intro zenon_H103 ].
% 51.35/51.52 apply (zenon_L551_); trivial.
% 51.35/51.52 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_He6 | zenon_intro zenon_H4a ].
% 51.35/51.52 apply (zenon_L427_); trivial.
% 51.35/51.52 apply (zenon_L15_); trivial.
% 51.35/51.52 (* end of lemma zenon_L553_ *)
% 51.35/51.52 assert (zenon_L554_ : ((op1 (e13) (e12)) = (e12)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e11) (e11)) = (e11)) -> ((op1 (e12) (e11)) = (e11)) -> ((op1 (e10) (e11)) = (e13)) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((op1 (e13) (e11)) = (e10)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e11))) -> ((op1 (e12) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e10) = (e13))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e11) = (e13))) -> ((e11) = (op1 (e13) (e13))) -> False).
% 51.35/51.52 do 0 intro. intros zenon_Hf1 zenon_H65 zenon_H2c9 zenon_H30b zenon_H330 zenon_H46 zenon_H327 zenon_Hcf zenon_Hbe zenon_H95 zenon_Hc2 zenon_Hb8 zenon_Hc8 zenon_Hb0 zenon_Hda zenon_H49 zenon_H9e zenon_Hea zenon_H41 zenon_He1 zenon_H54 zenon_Hab zenon_H1c zenon_H2c zenon_Haf zenon_Hde zenon_H8c zenon_He2 zenon_H7d zenon_H42 zenon_H35 zenon_H90 zenon_Hd3 zenon_H4b zenon_Hb5 zenon_H3d zenon_H19.
% 51.35/51.52 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H66 | zenon_intro zenon_Hd0 ].
% 51.35/51.52 apply (zenon_L439_); trivial.
% 51.35/51.52 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hd1 ].
% 51.35/51.52 apply (zenon_L42_); trivial.
% 51.35/51.52 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hb3 ].
% 51.35/51.52 apply (zenon_L373_); trivial.
% 51.35/51.52 apply (zenon_L37_); trivial.
% 51.35/51.52 (* end of lemma zenon_L554_ *)
% 51.35/51.52 assert (zenon_L555_ : (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e12) (e10)) = (e13)) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((e10) = (e11))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((op1 (e10) (e11)) = (e13)) -> ((op1 (e11) (e11)) = (e12)) -> ((op1 (e12) (e10)) = (e12)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e11)) = (e11)) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((e12) = (e13))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((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))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> ((op1 (e10) (e10)) = (e11)) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e12))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> False).
% 51.35/51.52 do 0 intro. intros zenon_H33e zenon_H10b zenon_H2c9 zenon_He2 zenon_H2e1 zenon_H8c zenon_H1c zenon_Hc2 zenon_H327 zenon_H2d1 zenon_H46 zenon_H2c6 zenon_H7c zenon_H33a zenon_H2ce zenon_H72 zenon_Ha2 zenon_H2be zenon_H31e zenon_Hb0 zenon_Hda zenon_H49 zenon_Hea zenon_H41 zenon_He1 zenon_H54 zenon_Hab zenon_H2c zenon_Haf zenon_H30b zenon_H31b zenon_H113 zenon_H4b zenon_Hf8 zenon_Hb5 zenon_H45 zenon_Hcb zenon_Hf0 zenon_Hec zenon_Hf3 zenon_Hc8 zenon_Hb8 zenon_H7d zenon_Hcf zenon_H2e0 zenon_Hf6 zenon_H3b zenon_Hfb zenon_H314 zenon_H30d zenon_H2d4 zenon_H1b zenon_H2ba zenon_H2ff zenon_H311 zenon_H123 zenon_H10e zenon_H95 zenon_H305 zenon_H318 zenon_H90 zenon_H35 zenon_H42 zenon_Hd3 zenon_H65 zenon_Hde zenon_H3d zenon_H9e zenon_H19.
% 51.35/51.52 apply (zenon_or_s _ _ zenon_H33e); [ zenon_intro zenon_H10a | zenon_intro zenon_H33f ].
% 51.35/51.52 apply (zenon_L75_); trivial.
% 51.35/51.52 apply (zenon_or_s _ _ zenon_H33f); [ zenon_intro zenon_H330 | zenon_intro zenon_H340 ].
% 51.35/51.52 apply (zenon_or_s _ _ zenon_H31e); [ zenon_intro zenon_H2bf | zenon_intro zenon_H31f ].
% 51.35/51.52 apply (zenon_L282_); trivial.
% 51.35/51.52 apply (zenon_or_s _ _ zenon_H31f); [ zenon_intro zenon_H12b | zenon_intro zenon_H320 ].
% 51.35/51.52 apply (zenon_L333_); trivial.
% 51.35/51.52 apply (zenon_or_s _ _ zenon_H320); [ zenon_intro zenon_H304 | zenon_intro zenon_Hf1 ].
% 51.35/51.52 apply (zenon_L334_); trivial.
% 51.35/51.52 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hc9 ].
% 51.35/51.52 apply (zenon_L39_); trivial.
% 51.35/51.52 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hca ].
% 51.35/51.52 apply (zenon_L554_); trivial.
% 51.35/51.52 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H8b ].
% 51.35/51.52 apply (zenon_L41_); trivial.
% 51.35/51.52 apply (zenon_L24_); trivial.
% 51.35/51.52 apply (zenon_or_s _ _ zenon_H340); [ zenon_intro zenon_H335 | zenon_intro zenon_H33b ].
% 51.35/51.52 apply (zenon_L451_); trivial.
% 51.35/51.52 apply (zenon_L452_); trivial.
% 51.35/51.52 (* end of lemma zenon_L555_ *)
% 51.35/51.52 assert (zenon_L556_ : (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e12))) -> ((op1 (e10) (e13)) = (e12)) -> (~((e10) = (e13))) -> ((op1 (e11) (e13)) = (e13)) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e13) (e10)) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e12) (e12)) = (e11)) -> ((op1 (e10) (e12)) = (e11)) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> False).
% 51.35/51.52 do 0 intro. intros zenon_H90 zenon_H35 zenon_H49 zenon_H42 zenon_H51 zenon_H72 zenon_H65 zenon_H66 zenon_H54 zenon_H335 zenon_H11a zenon_H46 zenon_H2ce zenon_H19 zenon_H8c.
% 51.35/51.52 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H4e | zenon_intro zenon_H91 ].
% 51.35/51.52 apply (zenon_L16_); trivial.
% 51.35/51.52 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H50 | zenon_intro zenon_H92 ].
% 51.35/51.52 apply (zenon_L17_); trivial.
% 51.35/51.52 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H62 | zenon_intro zenon_H8b ].
% 51.35/51.52 apply (zenon_L443_); trivial.
% 51.35/51.52 apply (zenon_L24_); trivial.
% 51.35/51.52 (* end of lemma zenon_L556_ *)
% 51.35/51.52 assert (zenon_L557_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e10) (e11)) = (e13)) -> ((op1 (e10) (e12)) = (e11)) -> ((op1 (e12) (e12)) = (e11)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> ((op1 (e13) (e11)) = (e10)) -> (~((e10) = (e11))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e13)) -> ((op1 (e12) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e13))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e11) = (e13))) -> ((e11) = (op1 (e13) (e13))) -> False).
% 51.35/51.52 do 0 intro. intros zenon_Hcf zenon_H2ce zenon_H46 zenon_H11a zenon_H335 zenon_H65 zenon_H72 zenon_Hbe zenon_H8c zenon_He1 zenon_H54 zenon_H51 zenon_He2 zenon_H7d zenon_H49 zenon_Hda zenon_H42 zenon_H35 zenon_H90 zenon_H3d zenon_H19.
% 51.35/51.52 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H66 | zenon_intro zenon_Hd0 ].
% 51.35/51.52 apply (zenon_L556_); trivial.
% 51.35/51.52 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hd1 ].
% 51.35/51.52 apply (zenon_L40_); trivial.
% 51.35/51.52 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hb3 ].
% 51.35/51.52 apply (zenon_L52_); trivial.
% 51.35/51.52 apply (zenon_L37_); trivial.
% 51.35/51.52 (* end of lemma zenon_L557_ *)
% 51.35/51.52 assert (zenon_L558_ : (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e11) = (e13))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e12))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e12) (e10)) = (e13)) -> ((op1 (e11) (e13)) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e12) (e12)) = (e11)) -> ((op1 (e10) (e12)) = (e11)) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> False).
% 51.35/51.52 do 0 intro. intros zenon_Hc8 zenon_Hb8 zenon_H3d zenon_H90 zenon_H35 zenon_H42 zenon_Hda zenon_H49 zenon_H7d zenon_He2 zenon_H51 zenon_H54 zenon_He1 zenon_H72 zenon_H65 zenon_H335 zenon_H11a zenon_H46 zenon_H2ce zenon_Hcf zenon_Hc2 zenon_H1c zenon_H19 zenon_H8c.
% 51.35/51.52 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hc9 ].
% 51.35/51.52 apply (zenon_L39_); trivial.
% 51.35/51.52 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hca ].
% 51.35/51.52 apply (zenon_L557_); trivial.
% 51.35/51.52 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H8b ].
% 51.35/51.52 apply (zenon_L41_); trivial.
% 51.35/51.52 apply (zenon_L24_); trivial.
% 51.35/51.52 (* end of lemma zenon_L558_ *)
% 51.35/51.52 assert (zenon_L559_ : (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((e20) = (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((e10) = (e11))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((e11) = (e12))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((e10) = (e13))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e13))) -> (~((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 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((h4 (op1 (e11) (e12))) = (op2 (h4 (e11)) (h4 (e12))))) -> ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e22) = (e23))) -> (~((e20) = (e23))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e23) (e20)) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e20) (e23)) = (e22)) -> (~((e21) = (e23))) -> ((e21) = (op2 (e23) (e23))) -> False).
% 51.35/51.52 do 0 intro. intros zenon_H2a6 zenon_H210 zenon_H209 zenon_H13c zenon_H240 zenon_H1fd zenon_H214 zenon_H26d zenon_Hda zenon_H1c zenon_H2c zenon_Hd3 zenon_Hab zenon_H35 zenon_Hde zenon_H135 zenon_H24 zenon_Hb0 zenon_Hf6 zenon_H54 zenon_H10e zenon_H7d zenon_H72 zenon_Haf zenon_H8c zenon_H117 zenon_H105 zenon_Hfe zenon_H2b zenon_H10b zenon_H90 zenon_Hcb zenon_Hf0 zenon_Hec zenon_Hc2 zenon_Hf3 zenon_Hb5 zenon_H4b zenon_H42 zenon_H9e zenon_H12c zenon_He1 zenon_H3d zenon_H128 zenon_H125 zenon_H131 zenon_H123 zenon_H113 zenon_Hff zenon_Hf8 zenon_H45 zenon_H95 zenon_H65 zenon_Ha2 zenon_Hfb zenon_Hcf zenon_Hea zenon_Hc8 zenon_H136 zenon_Hb8 zenon_H19 zenon_H1b zenon_H324 zenon_H2e1 zenon_H2ba zenon_H2c5 zenon_H2c9 zenon_H32a zenon_H2be zenon_H382 zenon_H13 zenon_H14 zenon_H2e7 zenon_H349 zenon_H15e zenon_H2e0 zenon_H31b zenon_H31e zenon_H341 zenon_H33e zenon_H345 zenon_H327 zenon_H2d1 zenon_H33a zenon_H2d4 zenon_H2ce zenon_H314 zenon_H30d zenon_H2ff zenon_H311 zenon_H305 zenon_H2db zenon_H318 zenon_H13b zenon_H1fa zenon_H1ac zenon_H205 zenon_H245 zenon_H244 zenon_H1ec zenon_H1cc zenon_H1cd zenon_H1e6 zenon_H175 zenon_H1f7 zenon_H14e.
% 51.35/51.52 apply (zenon_or_s _ _ zenon_H2a6); [ zenon_intro zenon_H16d | zenon_intro zenon_H2ac ].
% 51.35/51.52 apply (zenon_L539_); trivial.
% 51.35/51.52 apply (zenon_or_s _ _ zenon_H2ac); [ zenon_intro zenon_H2a1 | zenon_intro zenon_H2ad ].
% 51.35/51.52 apply (zenon_L246_); trivial.
% 51.35/51.52 apply (zenon_or_s _ _ zenon_H2ad); [ zenon_intro zenon_H277 | zenon_intro zenon_H1a8 ].
% 51.35/51.52 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H23 | zenon_intro zenon_H13e ].
% 51.35/51.52 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H3b | zenon_intro zenon_H139 ].
% 51.35/51.52 apply (zenon_or_s _ _ zenon_H32a); [ zenon_intro zenon_H2d | zenon_intro zenon_H32b ].
% 51.35/51.52 apply (zenon_L7_); trivial.
% 51.35/51.52 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H2bb | zenon_intro zenon_H32c ].
% 51.35/51.52 apply (zenon_L281_); trivial.
% 51.35/51.52 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H2bf | zenon_intro zenon_H49 ].
% 51.35/51.52 apply (zenon_L282_); trivial.
% 51.35/51.52 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ].
% 51.35/51.52 apply (zenon_L7_); trivial.
% 51.35/51.52 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_H34 | zenon_intro zenon_H101 ].
% 51.35/51.52 apply (zenon_L325_); trivial.
% 51.35/51.52 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_H7c | zenon_intro zenon_He8 ].
% 51.35/51.52 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H3c | zenon_intro zenon_H102 ].
% 51.35/51.52 apply (zenon_L11_); trivial.
% 51.35/51.52 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_H46 | zenon_intro zenon_H103 ].
% 51.35/51.52 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hfc ].
% 51.35/51.52 apply (zenon_L11_); trivial.
% 51.35/51.52 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H41 | zenon_intro zenon_Hfd ].
% 51.35/51.52 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H33 | zenon_intro zenon_H2e2 ].
% 51.35/51.52 apply (zenon_L12_); trivial.
% 51.35/51.52 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2e3 ].
% 51.35/51.52 apply (zenon_L283_); trivial.
% 51.35/51.52 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H126 | zenon_intro zenon_H50 ].
% 51.35/51.52 apply (zenon_L548_); trivial.
% 51.35/51.52 apply (zenon_L377_); trivial.
% 51.35/51.52 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_He2 | zenon_intro zenon_H66 ].
% 51.35/51.52 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H33 | zenon_intro zenon_H2e2 ].
% 51.35/51.52 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H108 | zenon_intro zenon_H319 ].
% 51.35/51.52 apply (zenon_L551_); trivial.
% 51.35/51.52 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H30b | zenon_intro zenon_H31a ].
% 51.35/51.52 apply (zenon_or_s _ _ zenon_H341); [ zenon_intro zenon_H34 | zenon_intro zenon_H342 ].
% 51.35/51.52 apply (zenon_L9_); trivial.
% 51.35/51.52 apply (zenon_or_s _ _ zenon_H342); [ zenon_intro zenon_H2c6 | zenon_intro zenon_H343 ].
% 51.35/51.52 apply (zenon_L478_); trivial.
% 51.35/51.52 apply (zenon_or_s _ _ zenon_H343); [ zenon_intro zenon_H12b | zenon_intro zenon_Haa ].
% 51.35/51.52 apply (zenon_L333_); trivial.
% 51.35/51.52 apply (zenon_L34_); trivial.
% 51.35/51.52 apply (zenon_or_s _ _ zenon_H31a); [ zenon_intro zenon_H129 | zenon_intro zenon_Ha5 ].
% 51.35/51.52 apply (zenon_L485_); trivial.
% 51.35/51.52 apply (zenon_L33_); trivial.
% 51.35/51.52 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2e3 ].
% 51.35/51.52 apply (zenon_L283_); trivial.
% 51.35/51.52 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H126 | zenon_intro zenon_H50 ].
% 51.35/51.52 apply (zenon_L548_); trivial.
% 51.35/51.52 apply (zenon_L377_); trivial.
% 51.35/51.52 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H33 | zenon_intro zenon_H2e2 ].
% 51.35/51.52 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H108 | zenon_intro zenon_H319 ].
% 51.35/51.52 apply (zenon_L552_); trivial.
% 51.35/51.52 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H30b | zenon_intro zenon_H31a ].
% 51.35/51.52 apply (zenon_L492_); trivial.
% 51.35/51.52 apply (zenon_or_s _ _ zenon_H31a); [ zenon_intro zenon_H129 | zenon_intro zenon_Ha5 ].
% 51.35/51.52 apply (zenon_L493_); trivial.
% 51.35/51.52 apply (zenon_L33_); trivial.
% 51.35/51.52 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2e3 ].
% 51.35/51.52 apply (zenon_L283_); trivial.
% 51.35/51.52 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H126 | zenon_intro zenon_H50 ].
% 51.35/51.52 apply (zenon_L548_); trivial.
% 51.35/51.52 apply (zenon_L377_); trivial.
% 51.35/51.52 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_He6 | zenon_intro zenon_H4a ].
% 51.35/51.52 apply (zenon_L378_); trivial.
% 51.35/51.52 apply (zenon_L15_); trivial.
% 51.35/51.52 apply (zenon_L384_); trivial.
% 51.35/51.52 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H104 | zenon_intro zenon_H13a ].
% 51.35/51.52 apply (zenon_L426_); trivial.
% 51.35/51.52 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H11a | zenon_intro zenon_H11c ].
% 51.35/51.52 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H3b | zenon_intro zenon_H118 ].
% 51.35/51.52 apply (zenon_or_s _ _ zenon_H32a); [ zenon_intro zenon_H2d | zenon_intro zenon_H32b ].
% 51.35/51.52 apply (zenon_L7_); trivial.
% 51.35/51.52 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H2bb | zenon_intro zenon_H32c ].
% 51.35/51.52 apply (zenon_L281_); trivial.
% 51.35/51.52 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H2bf | zenon_intro zenon_H49 ].
% 51.35/51.52 apply (zenon_L282_); trivial.
% 51.35/51.52 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ].
% 51.35/51.52 apply (zenon_L7_); trivial.
% 51.35/51.52 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_H34 | zenon_intro zenon_H101 ].
% 51.35/51.52 apply (zenon_L325_); trivial.
% 51.35/51.52 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_H7c | zenon_intro zenon_He8 ].
% 51.35/51.52 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H3c | zenon_intro zenon_H102 ].
% 51.35/51.52 apply (zenon_L317_); trivial.
% 51.35/51.52 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_H46 | zenon_intro zenon_H103 ].
% 51.35/51.52 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hfc ].
% 51.35/51.52 apply (zenon_L317_); trivial.
% 51.35/51.52 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H41 | zenon_intro zenon_Hfd ].
% 51.35/51.52 apply (zenon_L502_); trivial.
% 51.35/51.52 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_He2 | zenon_intro zenon_H66 ].
% 51.35/51.52 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H33 | zenon_intro zenon_H2e2 ].
% 51.35/51.52 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H108 | zenon_intro zenon_H319 ].
% 51.35/51.52 apply (zenon_L553_); trivial.
% 51.35/51.52 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H30b | zenon_intro zenon_H31a ].
% 51.35/51.52 apply (zenon_or_s _ _ zenon_H341); [ zenon_intro zenon_H34 | zenon_intro zenon_H342 ].
% 51.35/51.52 apply (zenon_L310_); trivial.
% 51.35/51.52 apply (zenon_or_s _ _ zenon_H342); [ zenon_intro zenon_H2c6 | zenon_intro zenon_H343 ].
% 51.35/51.52 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H41 | zenon_intro zenon_Hf9 ].
% 51.35/51.52 apply (zenon_L555_); trivial.
% 51.35/51.52 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H47 | zenon_intro zenon_Hfa ].
% 51.35/51.52 apply (zenon_L13_); trivial.
% 51.35/51.52 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H51 ].
% 51.35/51.52 apply (zenon_L471_); trivial.
% 51.35/51.52 apply (zenon_or_s _ _ zenon_H33e); [ zenon_intro zenon_H10a | zenon_intro zenon_H33f ].
% 51.35/51.52 apply (zenon_L80_); trivial.
% 51.35/51.52 apply (zenon_or_s _ _ zenon_H33f); [ zenon_intro zenon_H330 | zenon_intro zenon_H340 ].
% 51.35/51.52 apply (zenon_L474_); trivial.
% 51.35/51.52 apply (zenon_or_s _ _ zenon_H340); [ zenon_intro zenon_H335 | zenon_intro zenon_H33b ].
% 51.35/51.52 apply (zenon_L558_); trivial.
% 51.35/51.52 apply (zenon_L452_); trivial.
% 51.35/51.52 apply (zenon_or_s _ _ zenon_H343); [ zenon_intro zenon_H12b | zenon_intro zenon_Haa ].
% 51.35/51.52 apply (zenon_L333_); trivial.
% 51.35/51.52 apply (zenon_L34_); trivial.
% 51.35/51.52 apply (zenon_or_s _ _ zenon_H31a); [ zenon_intro zenon_H129 | zenon_intro zenon_Ha5 ].
% 51.35/51.52 apply (zenon_L482_); trivial.
% 51.35/51.52 apply (zenon_L33_); trivial.
% 51.35/51.52 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2e3 ].
% 51.35/51.52 apply (zenon_L283_); trivial.
% 51.35/51.52 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H126 | zenon_intro zenon_H50 ].
% 51.35/51.52 apply (zenon_L548_); trivial.
% 51.35/51.52 apply (zenon_L377_); trivial.
% 51.35/51.52 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H33 | zenon_intro zenon_H2e2 ].
% 51.35/51.52 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H108 | zenon_intro zenon_H319 ].
% 51.35/51.52 apply (zenon_L553_); trivial.
% 51.35/51.52 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H30b | zenon_intro zenon_H31a ].
% 51.35/51.52 apply (zenon_or_s _ _ zenon_H341); [ zenon_intro zenon_H34 | zenon_intro zenon_H342 ].
% 51.35/51.52 apply (zenon_L316_); trivial.
% 51.35/51.52 apply (zenon_or_s _ _ zenon_H342); [ zenon_intro zenon_H2c6 | zenon_intro zenon_H343 ].
% 51.35/51.52 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H41 | zenon_intro zenon_Hf9 ].
% 51.35/51.52 apply (zenon_L453_); trivial.
% 51.35/51.52 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H47 | zenon_intro zenon_Hfa ].
% 51.35/51.52 apply (zenon_L13_); trivial.
% 51.35/51.52 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H51 ].
% 51.35/51.52 apply (zenon_L471_); trivial.
% 51.35/51.52 apply (zenon_or_s _ _ zenon_H33e); [ zenon_intro zenon_H10a | zenon_intro zenon_H33f ].
% 51.35/51.52 apply (zenon_L80_); trivial.
% 51.35/51.52 apply (zenon_or_s _ _ zenon_H33f); [ zenon_intro zenon_H330 | zenon_intro zenon_H340 ].
% 51.35/51.52 apply (zenon_L491_); trivial.
% 51.35/51.52 apply (zenon_or_s _ _ zenon_H340); [ zenon_intro zenon_H335 | zenon_intro zenon_H33b ].
% 51.35/51.52 apply (zenon_L556_); trivial.
% 51.35/51.52 apply (zenon_L452_); trivial.
% 51.35/51.52 apply (zenon_or_s _ _ zenon_H343); [ zenon_intro zenon_H12b | zenon_intro zenon_Haa ].
% 51.35/51.52 apply (zenon_L333_); trivial.
% 51.35/51.52 apply (zenon_L34_); trivial.
% 51.35/51.52 apply (zenon_or_s _ _ zenon_H31a); [ zenon_intro zenon_H129 | zenon_intro zenon_Ha5 ].
% 51.35/51.52 apply (zenon_L482_); trivial.
% 51.35/51.52 apply (zenon_L33_); trivial.
% 51.35/51.52 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2e3 ].
% 51.35/51.52 apply (zenon_L283_); trivial.
% 51.35/51.52 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H126 | zenon_intro zenon_H50 ].
% 51.35/51.52 apply (zenon_L548_); trivial.
% 51.35/51.52 apply (zenon_L377_); trivial.
% 51.35/51.52 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_He6 | zenon_intro zenon_H4a ].
% 51.35/51.52 apply (zenon_L378_); trivial.
% 51.35/51.52 apply (zenon_L335_); trivial.
% 51.35/51.52 apply (zenon_L384_); trivial.
% 51.35/51.52 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H108 | zenon_intro zenon_H119 ].
% 51.35/51.52 apply (zenon_L553_); trivial.
% 51.35/51.52 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H10a | zenon_intro zenon_H114 ].
% 51.35/51.52 apply (zenon_L512_); trivial.
% 51.35/51.52 apply (zenon_L82_); trivial.
% 51.35/51.52 apply (zenon_L85_); trivial.
% 51.35/51.52 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H1d | zenon_intro zenon_H14b ].
% 51.35/51.52 apply (zenon_L4_); trivial.
% 51.35/51.52 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H22 | zenon_intro zenon_H4e ].
% 51.35/51.52 apply (zenon_L109_); trivial.
% 51.35/51.52 apply (zenon_L47_); trivial.
% 51.35/51.52 apply (zenon_L243_); trivial.
% 51.35/51.52 (* end of lemma zenon_L559_ *)
% 51.35/51.52 assert (zenon_L560_ : (~((h4 (op1 (e11) (e13))) = (op2 (h4 (e11)) (h4 (e13))))) -> ((op1 (e11) (e13)) = (e13)) -> ((op2 (e21) (e23)) = (e23)) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((e21) = (op2 (e23) (e23))) -> ((h4 (e13)) = (e23)) -> False).
% 51.35/51.52 do 0 intro. intros zenon_H38e zenon_H51 zenon_H1bc zenon_H2e7 zenon_H14e zenon_H2ea.
% 51.35/51.52 cut (((h4 (e13)) = (e23)) = ((h4 (op1 (e11) (e13))) = (op2 (h4 (e11)) (h4 (e13))))).
% 51.35/51.52 intro zenon_D_pnotp.
% 51.35/51.52 apply zenon_H38e.
% 51.35/51.52 rewrite <- zenon_D_pnotp.
% 51.35/51.52 exact zenon_H2ea.
% 51.35/51.52 cut (((e23) = (op2 (h4 (e11)) (h4 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H38f].
% 51.35/51.52 cut (((h4 (e13)) = (h4 (op1 (e11) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H390].
% 51.35/51.52 congruence.
% 51.35/51.52 elim (classic ((h4 (op1 (e11) (e13))) = (h4 (op1 (e11) (e13))))); [ zenon_intro zenon_H391 | zenon_intro zenon_H392 ].
% 51.35/51.52 cut (((h4 (op1 (e11) (e13))) = (h4 (op1 (e11) (e13)))) = ((h4 (e13)) = (h4 (op1 (e11) (e13))))).
% 51.35/51.52 intro zenon_D_pnotp.
% 51.35/51.52 apply zenon_H390.
% 51.35/51.52 rewrite <- zenon_D_pnotp.
% 51.35/51.52 exact zenon_H391.
% 51.35/51.52 cut (((h4 (op1 (e11) (e13))) = (h4 (op1 (e11) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H392].
% 51.35/51.52 cut (((h4 (op1 (e11) (e13))) = (h4 (e13)))); [idtac | apply NNPP; zenon_intro zenon_H393].
% 51.35/51.52 congruence.
% 51.35/51.52 cut (((op1 (e11) (e13)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H52].
% 51.35/51.52 congruence.
% 51.35/51.52 exact (zenon_H52 zenon_H51).
% 51.35/51.52 apply zenon_H392. apply refl_equal.
% 51.35/51.52 apply zenon_H392. apply refl_equal.
% 51.35/51.52 elim (classic ((op2 (h4 (e11)) (h4 (e13))) = (op2 (h4 (e11)) (h4 (e13))))); [ zenon_intro zenon_H394 | zenon_intro zenon_H395 ].
% 51.35/51.52 cut (((op2 (h4 (e11)) (h4 (e13))) = (op2 (h4 (e11)) (h4 (e13)))) = ((e23) = (op2 (h4 (e11)) (h4 (e13))))).
% 51.35/51.52 intro zenon_D_pnotp.
% 51.35/51.52 apply zenon_H38f.
% 51.35/51.52 rewrite <- zenon_D_pnotp.
% 51.35/51.52 exact zenon_H394.
% 51.35/51.52 cut (((op2 (h4 (e11)) (h4 (e13))) = (op2 (h4 (e11)) (h4 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H395].
% 51.35/51.52 cut (((op2 (h4 (e11)) (h4 (e13))) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H396].
% 51.35/51.52 congruence.
% 51.35/51.52 cut (((op2 (e21) (e23)) = (e23)) = ((op2 (h4 (e11)) (h4 (e13))) = (e23))).
% 51.35/51.52 intro zenon_D_pnotp.
% 51.35/51.52 apply zenon_H396.
% 51.35/51.52 rewrite <- zenon_D_pnotp.
% 51.35/51.52 exact zenon_H1bc.
% 51.35/51.52 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H14c].
% 51.35/51.52 cut (((op2 (e21) (e23)) = (op2 (h4 (e11)) (h4 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H397].
% 51.35/51.52 congruence.
% 51.35/51.52 elim (classic ((op2 (h4 (e11)) (h4 (e13))) = (op2 (h4 (e11)) (h4 (e13))))); [ zenon_intro zenon_H394 | zenon_intro zenon_H395 ].
% 51.35/51.52 cut (((op2 (h4 (e11)) (h4 (e13))) = (op2 (h4 (e11)) (h4 (e13)))) = ((op2 (e21) (e23)) = (op2 (h4 (e11)) (h4 (e13))))).
% 51.35/51.52 intro zenon_D_pnotp.
% 51.35/51.52 apply zenon_H397.
% 51.35/51.52 rewrite <- zenon_D_pnotp.
% 51.35/51.52 exact zenon_H394.
% 51.35/51.52 cut (((op2 (h4 (e11)) (h4 (e13))) = (op2 (h4 (e11)) (h4 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H395].
% 51.35/51.53 cut (((op2 (h4 (e11)) (h4 (e13))) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H398].
% 51.35/51.53 congruence.
% 51.35/51.53 cut (((h4 (e13)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H399].
% 51.35/51.53 cut (((h4 (e11)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H2e6].
% 51.35/51.53 congruence.
% 51.35/51.53 apply (zenon_L326_); trivial.
% 51.35/51.53 exact (zenon_H399 zenon_H2ea).
% 51.35/51.53 apply zenon_H395. apply refl_equal.
% 51.35/51.53 apply zenon_H395. apply refl_equal.
% 51.35/51.53 apply zenon_H14c. apply refl_equal.
% 51.35/51.53 apply zenon_H395. apply refl_equal.
% 51.35/51.53 apply zenon_H395. apply refl_equal.
% 51.35/51.53 (* end of lemma zenon_L560_ *)
% 51.35/51.53 assert (zenon_L561_ : (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> ((h4 (e13)) = (e23)) -> ((e21) = (op2 (e23) (e23))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((op2 (e21) (e23)) = (e23)) -> (~((h4 (op1 (e11) (e13))) = (op2 (h4 (e11)) (h4 (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (e13) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> ((op1 (e11) (e12)) = (e13)) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((e11) = (e13))) -> ((e11) = (op1 (e13) (e13))) -> False).
% 51.35/51.53 do 0 intro. intros zenon_Hb5 zenon_H4b zenon_H2ea zenon_H14e zenon_H2e7 zenon_H1bc zenon_H38e zenon_Haf zenon_H2c zenon_H1c zenon_Hab zenon_H54 zenon_H49 zenon_H95 zenon_H66 zenon_H65 zenon_H9e zenon_Ha2 zenon_Ha3 zenon_Hb0 zenon_H3d zenon_H19.
% 51.35/51.53 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H4a | zenon_intro zenon_Hb6 ].
% 51.35/51.53 apply (zenon_L15_); trivial.
% 51.35/51.53 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H51 | zenon_intro zenon_Hb7 ].
% 51.35/51.53 apply (zenon_L560_); trivial.
% 51.35/51.53 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb3 ].
% 51.35/51.53 apply (zenon_L36_); trivial.
% 51.35/51.53 apply (zenon_L37_); trivial.
% 51.35/51.53 (* end of lemma zenon_L561_ *)
% 51.35/51.53 assert (zenon_L562_ : ((op1 (e11) (e12)) = (e13)) -> (~((h4 (op1 (e11) (e13))) = (op2 (h4 (e11)) (h4 (e13))))) -> ((op2 (e21) (e23)) = (e23)) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((e21) = (op2 (e23) (e23))) -> ((h4 (e13)) = (e23)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op1 (e12) (e10)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> ((op1 (e13) (e11)) = (e10)) -> ((op1 (e11) (e10)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e11))) -> ((op1 (e12) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e10) = (e13))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e12) (e13)) = (e10)) -> (~((e11) = (e13))) -> ((e11) = (op1 (e13) (e13))) -> False).
% 51.35/51.53 do 0 intro. intros zenon_Ha3 zenon_H38e zenon_H1bc zenon_H2e7 zenon_H14e zenon_H2ea zenon_Hc2 zenon_Hcf zenon_Hb8 zenon_Hc8 zenon_H7c zenon_H2ff zenon_H2ba zenon_H2e1 zenon_Hb0 zenon_Ha2 zenon_H65 zenon_H95 zenon_H131 zenon_Hbe zenon_H108 zenon_H128 zenon_Hda zenon_H49 zenon_H9e zenon_H12c zenon_He1 zenon_Hcb zenon_Hde zenon_H8c zenon_He2 zenon_H7d zenon_H42 zenon_H35 zenon_H90 zenon_Hd3 zenon_H4b zenon_Hb5 zenon_H2db zenon_H23 zenon_H24 zenon_H324 zenon_H54 zenon_Hab zenon_H1c zenon_H2c zenon_Haf zenon_H62 zenon_H3d zenon_H19.
% 51.35/51.53 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H66 | zenon_intro zenon_Hd0 ].
% 51.35/51.53 apply (zenon_L561_); trivial.
% 51.35/51.53 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hd1 ].
% 51.35/51.53 apply (zenon_L40_); trivial.
% 51.35/51.53 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hb3 ].
% 51.35/51.53 apply (zenon_L394_); trivial.
% 51.35/51.53 apply (zenon_L37_); trivial.
% 51.35/51.53 (* end of lemma zenon_L562_ *)
% 51.35/51.53 assert (zenon_L563_ : (~((e11) = (e13))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e12))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e12) (e10)) = (e13)) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (e10)) = (e11)) -> ((op1 (e13) (e11)) = (e10)) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((op1 (e12) (e10)) = (e12)) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((h4 (e13)) = (e23)) -> ((e21) = (op2 (e23) (e23))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((op2 (e21) (e23)) = (e23)) -> (~((h4 (op1 (e11) (e13))) = (op2 (h4 (e11)) (h4 (e13))))) -> ((op1 (e11) (e12)) = (e13)) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> False).
% 51.35/51.53 do 0 intro. intros zenon_H3d zenon_Haf zenon_H2c zenon_H1c zenon_Hab zenon_H54 zenon_H324 zenon_H24 zenon_H23 zenon_H2db zenon_Hb5 zenon_H4b zenon_Hd3 zenon_H90 zenon_H35 zenon_H42 zenon_H7d zenon_He2 zenon_Hde zenon_Hcb zenon_He1 zenon_H12c zenon_H9e zenon_H49 zenon_Hda zenon_H128 zenon_H108 zenon_Hbe zenon_H131 zenon_H95 zenon_H65 zenon_Ha2 zenon_Hb0 zenon_H2e1 zenon_H2ba zenon_H2ff zenon_H7c zenon_Hc8 zenon_Hb8 zenon_Hcf zenon_Hc2 zenon_H2ea zenon_H14e zenon_H2e7 zenon_H1bc zenon_H38e zenon_Ha3 zenon_H19 zenon_H8c.
% 51.35/51.53 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H4e | zenon_intro zenon_H91 ].
% 51.35/51.53 apply (zenon_L16_); trivial.
% 51.35/51.53 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H50 | zenon_intro zenon_H92 ].
% 51.35/51.53 apply (zenon_L549_); trivial.
% 51.35/51.53 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H62 | zenon_intro zenon_H8b ].
% 51.35/51.53 apply (zenon_L562_); trivial.
% 51.35/51.53 apply (zenon_L24_); trivial.
% 51.35/51.53 (* end of lemma zenon_L563_ *)
% 51.35/51.53 assert (zenon_L564_ : (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((e10) = (e11))) -> ((e11) = (op1 (e13) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e12))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e12) (e10)) = (e13)) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (e10)) = (e11)) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((op1 (e12) (e10)) = (e12)) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((h4 (op1 (e11) (e13))) = (op2 (h4 (e11)) (h4 (e13))))) -> ((op2 (e21) (e23)) = (e23)) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((e21) = (op2 (e23) (e23))) -> ((h4 (e13)) = (e23)) -> False).
% 51.35/51.53 do 0 intro. intros zenon_Hf8 zenon_H46 zenon_H45 zenon_H8c zenon_H19 zenon_H1c zenon_Hc2 zenon_H3d zenon_Haf zenon_H2c zenon_Hab zenon_H54 zenon_H324 zenon_H24 zenon_H23 zenon_H2db zenon_Hb5 zenon_H4b zenon_Hd3 zenon_H90 zenon_H35 zenon_H42 zenon_H7d zenon_He2 zenon_Hde zenon_Hcb zenon_He1 zenon_H12c zenon_H9e zenon_H49 zenon_Hda zenon_H128 zenon_H108 zenon_H131 zenon_H95 zenon_H65 zenon_Ha2 zenon_Hb0 zenon_H2e1 zenon_H2ba zenon_H2ff zenon_H7c zenon_Hc8 zenon_Hb8 zenon_Hcf zenon_H38e zenon_H1bc zenon_H2e7 zenon_H14e zenon_H2ea.
% 51.35/51.53 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H41 | zenon_intro zenon_Hf9 ].
% 51.35/51.53 apply (zenon_L328_); trivial.
% 51.35/51.53 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H47 | zenon_intro zenon_Hfa ].
% 51.35/51.53 apply (zenon_L13_); trivial.
% 51.35/51.53 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H51 ].
% 51.35/51.53 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hc9 ].
% 51.35/51.53 apply (zenon_L39_); trivial.
% 51.35/51.53 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hca ].
% 51.35/51.53 apply (zenon_L563_); trivial.
% 51.35/51.53 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H8b ].
% 51.35/51.53 apply (zenon_L41_); trivial.
% 51.35/51.53 apply (zenon_L24_); trivial.
% 51.35/51.53 apply (zenon_L560_); trivial.
% 51.35/51.53 (* end of lemma zenon_L564_ *)
% 51.35/51.53 assert (zenon_L565_ : (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((op1 (e11) (e10)) = (e11)) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((e11) = (op1 (e13) (e13))) -> (~((e11) = (e13))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e13) (e10)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((h4 (op1 (e11) (e13))) = (op2 (h4 (e11)) (h4 (e13))))) -> ((op2 (e21) (e23)) = (e23)) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((e21) = (op2 (e23) (e23))) -> ((h4 (e13)) = (e23)) -> False).
% 51.35/51.53 do 0 intro. intros zenon_Hf8 zenon_H108 zenon_H46 zenon_H45 zenon_H19 zenon_H3d zenon_Hb0 zenon_Ha2 zenon_H9e zenon_H65 zenon_H66 zenon_H95 zenon_H49 zenon_H54 zenon_Hab zenon_H1c zenon_H2c zenon_Haf zenon_H4b zenon_Hb5 zenon_H38e zenon_H1bc zenon_H2e7 zenon_H14e zenon_H2ea.
% 51.35/51.53 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H41 | zenon_intro zenon_Hf9 ].
% 51.35/51.53 apply (zenon_L328_); trivial.
% 51.35/51.53 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H47 | zenon_intro zenon_Hfa ].
% 51.35/51.53 apply (zenon_L13_); trivial.
% 51.35/51.53 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H51 ].
% 51.35/51.53 apply (zenon_L561_); trivial.
% 51.35/51.53 apply (zenon_L560_); trivial.
% 51.35/51.53 (* end of lemma zenon_L565_ *)
% 51.35/51.53 assert (zenon_L566_ : (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op1 (e12) (e10)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e10) = (e13))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((op1 (e11) (e10)) = (e11)) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((e11) = (op1 (e13) (e13))) -> (~((e11) = (e13))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((h4 (op1 (e11) (e13))) = (op2 (h4 (e11)) (h4 (e13))))) -> ((op2 (e21) (e23)) = (e23)) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((e21) = (op2 (e23) (e23))) -> ((h4 (e13)) = (e23)) -> False).
% 51.35/51.53 do 0 intro. intros zenon_Hfb zenon_Hcf zenon_Hb8 zenon_Hc8 zenon_H7c zenon_H2ff zenon_H2ba zenon_H2e1 zenon_H131 zenon_H128 zenon_Hda zenon_H12c zenon_He1 zenon_Hcb zenon_Hde zenon_H7d zenon_H42 zenon_H35 zenon_H90 zenon_Hd3 zenon_H2db zenon_H23 zenon_H24 zenon_H324 zenon_Hc2 zenon_H8c zenon_Hf8 zenon_H108 zenon_H46 zenon_H45 zenon_H19 zenon_H3d zenon_Hb0 zenon_Ha2 zenon_H9e zenon_H65 zenon_H95 zenon_H49 zenon_H54 zenon_Hab zenon_H1c zenon_H2c zenon_Haf zenon_H4b zenon_Hb5 zenon_H38e zenon_H1bc zenon_H2e7 zenon_H14e zenon_H2ea.
% 51.35/51.53 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hfc ].
% 51.35/51.53 apply (zenon_L317_); trivial.
% 51.35/51.53 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H41 | zenon_intro zenon_Hfd ].
% 51.35/51.53 apply (zenon_L328_); trivial.
% 51.35/51.53 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_He2 | zenon_intro zenon_H66 ].
% 51.35/51.53 apply (zenon_L564_); trivial.
% 51.35/51.53 apply (zenon_L565_); trivial.
% 51.35/51.53 (* end of lemma zenon_L566_ *)
% 51.35/51.53 assert (zenon_L567_ : (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((h4 (e13)) = (e23)) -> ((e21) = (op2 (e23) (e23))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((op2 (e21) (e23)) = (e23)) -> (~((h4 (op1 (e11) (e13))) = (op2 (h4 (e11)) (h4 (e13))))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((e11) = (e12))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e11) (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 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((e10) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (e10) (e10)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((op1 (e12) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((e10) = (e11))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e10) = (e12))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op1 (e10) (e13)) = (e12)) -> ((op1 (e12) (e10)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> False).
% 51.35/51.53 do 0 intro. intros zenon_H341 zenon_H23 zenon_H2db zenon_H125 zenon_H24 zenon_H2c5 zenon_Hff zenon_H2ea zenon_H14e zenon_H2e7 zenon_H1bc zenon_H38e zenon_H345 zenon_H33e zenon_H10b zenon_He1 zenon_H2c9 zenon_H30b zenon_Hf3 zenon_Hf0 zenon_H327 zenon_Hde zenon_Hd3 zenon_Hda zenon_H3d zenon_Hcb zenon_H42 zenon_Hb5 zenon_H4b zenon_H2d1 zenon_H7d zenon_H90 zenon_H46 zenon_H33a zenon_H2ce zenon_H72 zenon_Haf zenon_H54 zenon_H95 zenon_H65 zenon_H9e zenon_Hb0 zenon_Hcf zenon_H305 zenon_H2be zenon_H31e zenon_Hec zenon_H2d4 zenon_H1b zenon_H105 zenon_H3b zenon_H45 zenon_He2 zenon_Hea zenon_H31b zenon_H113 zenon_Hf8 zenon_H2e0 zenon_Hf6 zenon_Hfb zenon_H314 zenon_H30d zenon_H311 zenon_H123 zenon_H10e zenon_H318 zenon_H8c zenon_H19 zenon_Hc2 zenon_H35 zenon_Hb8 zenon_Hc8 zenon_H49 zenon_H7c zenon_H2ff zenon_Ha2 zenon_H2ba zenon_H2e1 zenon_H2c zenon_H1c zenon_Hab.
% 51.35/51.53 apply (zenon_or_s _ _ zenon_H341); [ zenon_intro zenon_H34 | zenon_intro zenon_H342 ].
% 51.35/51.53 apply (zenon_L325_); trivial.
% 51.35/51.53 apply (zenon_or_s _ _ zenon_H342); [ zenon_intro zenon_H2c6 | zenon_intro zenon_H343 ].
% 51.35/51.53 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H41 | zenon_intro zenon_Hf9 ].
% 51.35/51.53 apply (zenon_L555_); trivial.
% 51.35/51.53 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H47 | zenon_intro zenon_Hfa ].
% 51.35/51.53 apply (zenon_L299_); trivial.
% 51.35/51.53 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H51 ].
% 51.35/51.53 apply (zenon_L471_); trivial.
% 51.35/51.53 apply (zenon_L560_); trivial.
% 51.35/51.53 apply (zenon_or_s _ _ zenon_H343); [ zenon_intro zenon_H12b | zenon_intro zenon_Haa ].
% 51.35/51.53 apply (zenon_L333_); trivial.
% 51.35/51.53 apply (zenon_L34_); trivial.
% 51.35/51.53 (* end of lemma zenon_L567_ *)
% 51.35/51.53 assert (zenon_L568_ : (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((e10) = (e13))) -> ((op1 (e11) (e10)) = (e10)) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((e11) = (e13))) -> ((op1 (e11) (e12)) = (e11)) -> (~((h4 (op1 (e11) (e13))) = (op2 (h4 (e11)) (h4 (e13))))) -> ((op2 (e21) (e23)) = (e23)) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((e21) = (op2 (e23) (e23))) -> ((h4 (e13)) = (e23)) -> False).
% 51.35/51.53 do 0 intro. intros zenon_Hf8 zenon_H42 zenon_H33 zenon_H46 zenon_H45 zenon_H3d zenon_H129 zenon_H38e zenon_H1bc zenon_H2e7 zenon_H14e zenon_H2ea.
% 51.35/51.53 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H41 | zenon_intro zenon_Hf9 ].
% 51.35/51.53 apply (zenon_L12_); trivial.
% 51.35/51.53 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H47 | zenon_intro zenon_Hfa ].
% 51.35/51.53 apply (zenon_L13_); trivial.
% 51.35/51.53 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H51 ].
% 51.35/51.53 apply (zenon_L465_); trivial.
% 51.35/51.53 apply (zenon_L560_); trivial.
% 51.35/51.53 (* end of lemma zenon_L568_ *)
% 51.35/51.53 assert (zenon_L569_ : (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((h4 (e13)) = (e23)) -> ((e21) = (op2 (e23) (e23))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((op2 (e21) (e23)) = (e23)) -> (~((h4 (op1 (e11) (e13))) = (op2 (h4 (e11)) (h4 (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (e13) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((e11) = (e13))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (e10) (e10)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e11) (e12)) = (e10)) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e11)) = (e11)) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e11))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e10) = (e12))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op1 (e10) (e13)) = (e12)) -> ((op1 (e12) (e10)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> False).
% 51.35/51.53 do 0 intro. intros zenon_H341 zenon_H23 zenon_H2db zenon_H125 zenon_H24 zenon_H2c5 zenon_Hff zenon_H2ea zenon_H14e zenon_H2e7 zenon_H1bc zenon_H38e zenon_Hb5 zenon_H4b zenon_Haf zenon_H54 zenon_H95 zenon_H66 zenon_H65 zenon_H9e zenon_Hb0 zenon_H3d zenon_H2d4 zenon_H1b zenon_H105 zenon_H3b zenon_H45 zenon_H33e zenon_H10b zenon_H2c9 zenon_H126 zenon_H327 zenon_H2d1 zenon_H46 zenon_H33a zenon_H2ce zenon_H72 zenon_H2be zenon_H31e zenon_Hda zenon_Hea zenon_He1 zenon_H30b zenon_H31b zenon_H113 zenon_Hf8 zenon_Hcb zenon_Hf0 zenon_Hec zenon_Hf3 zenon_H7d zenon_Hcf zenon_H2e0 zenon_Hf6 zenon_Hfb zenon_H314 zenon_H30d zenon_H311 zenon_H123 zenon_H10e zenon_H305 zenon_H318 zenon_H90 zenon_H42 zenon_Hd3 zenon_Hde zenon_H8c zenon_H19 zenon_Hc2 zenon_H35 zenon_Hb8 zenon_Hc8 zenon_H49 zenon_H7c zenon_H2ff zenon_Ha2 zenon_H2ba zenon_H2e1 zenon_H2c zenon_H1c zenon_Hab.
% 51.35/51.53 apply (zenon_or_s _ _ zenon_H341); [ zenon_intro zenon_H34 | zenon_intro zenon_H342 ].
% 51.35/51.53 apply (zenon_L325_); trivial.
% 51.35/51.53 apply (zenon_or_s _ _ zenon_H342); [ zenon_intro zenon_H2c6 | zenon_intro zenon_H343 ].
% 51.35/51.53 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H41 | zenon_intro zenon_Hf9 ].
% 51.35/51.53 apply (zenon_L496_); trivial.
% 51.35/51.53 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H47 | zenon_intro zenon_Hfa ].
% 51.35/51.53 apply (zenon_L299_); trivial.
% 51.35/51.53 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H51 ].
% 51.35/51.53 apply (zenon_L561_); trivial.
% 51.35/51.53 apply (zenon_L560_); trivial.
% 51.35/51.53 apply (zenon_or_s _ _ zenon_H343); [ zenon_intro zenon_H12b | zenon_intro zenon_Haa ].
% 51.35/51.53 apply (zenon_L333_); trivial.
% 51.35/51.53 apply (zenon_L34_); trivial.
% 51.35/51.53 (* end of lemma zenon_L569_ *)
% 51.35/51.53 assert (zenon_L570_ : (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((op1 (e11) (e10)) = (e10)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((e10) = (e11))) -> ((e11) = (op1 (e13) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((e10) = (e13))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((e11) = (e12))) -> ((op1 (e12) (e10)) = (e12)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e11) (e11)) = (e11)) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op1 (e10) (e12)) = (e11)) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((h4 (op1 (e11) (e13))) = (op2 (h4 (e11)) (h4 (e13))))) -> ((op2 (e21) (e23)) = (e23)) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((e21) = (op2 (e23) (e23))) -> ((h4 (e13)) = (e23)) -> False).
% 51.35/51.53 do 0 intro. intros zenon_Hf8 zenon_H33 zenon_H45 zenon_H8c zenon_H19 zenon_H1c zenon_Hc2 zenon_H3d zenon_Hcb zenon_H42 zenon_H33e zenon_H10b zenon_H7c zenon_He1 zenon_H2c9 zenon_H30b zenon_Hf3 zenon_Hec zenon_Hf0 zenon_H327 zenon_Hb0 zenon_Ha2 zenon_H65 zenon_H95 zenon_H49 zenon_H54 zenon_Hab zenon_H2c zenon_Haf zenon_H90 zenon_H35 zenon_Hde zenon_Hb5 zenon_H4b zenon_Hcf zenon_Hd3 zenon_Hda zenon_Hb8 zenon_Hc8 zenon_H11a zenon_H46 zenon_H2ce zenon_H9e zenon_H38e zenon_H1bc zenon_H2e7 zenon_H14e zenon_H2ea.
% 51.35/51.53 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H41 | zenon_intro zenon_Hf9 ].
% 51.35/51.53 apply (zenon_L12_); trivial.
% 51.35/51.53 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H47 | zenon_intro zenon_Hfa ].
% 51.35/51.53 apply (zenon_L13_); trivial.
% 51.35/51.53 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H51 ].
% 51.35/51.53 apply (zenon_L464_); trivial.
% 51.35/51.53 apply (zenon_L560_); trivial.
% 51.35/51.53 (* end of lemma zenon_L570_ *)
% 51.35/51.53 assert (zenon_L571_ : (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((h4 (e13)) = (e23)) -> ((e21) = (op2 (e23) (e23))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((op2 (e21) (e23)) = (e23)) -> (~((h4 (op1 (e11) (e13))) = (op2 (h4 (e11)) (h4 (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e10) (e11)) = (e13)) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e10)) = (e12)) -> (~((e11) = (e12))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((e10) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e13))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((op1 (e11) (e10)) = (e10)) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> False).
% 51.35/51.53 do 0 intro. intros zenon_H318 zenon_H2ea zenon_H14e zenon_H2e7 zenon_H1bc zenon_H38e zenon_H9e zenon_H2ce zenon_H46 zenon_Hc8 zenon_Hb8 zenon_Hda zenon_Hd3 zenon_Hcf zenon_H4b zenon_Hb5 zenon_Hde zenon_H35 zenon_H90 zenon_Haf zenon_H2c zenon_Hab zenon_H49 zenon_H95 zenon_H65 zenon_Ha2 zenon_Hb0 zenon_H327 zenon_Hf0 zenon_Hec zenon_Hf3 zenon_H2c9 zenon_He1 zenon_H7c zenon_H10b zenon_H33e zenon_H42 zenon_Hcb zenon_H3d zenon_Hc2 zenon_H1c zenon_H8c zenon_H45 zenon_H33 zenon_Hf8 zenon_H11a zenon_H125 zenon_H54 zenon_H19.
% 51.35/51.53 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H108 | zenon_intro zenon_H319 ].
% 51.35/51.53 apply (zenon_L74_); trivial.
% 51.35/51.53 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H30b | zenon_intro zenon_H31a ].
% 51.35/51.53 apply (zenon_L570_); trivial.
% 51.35/51.53 apply (zenon_or_s _ _ zenon_H31a); [ zenon_intro zenon_H129 | zenon_intro zenon_Ha5 ].
% 51.35/51.53 apply (zenon_L482_); trivial.
% 51.35/51.53 apply (zenon_L33_); trivial.
% 51.35/51.53 (* end of lemma zenon_L571_ *)
% 51.35/51.53 assert (zenon_L572_ : (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((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)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> ((op1 (e10) (e10)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e11)) = (e12)) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> ((op1 (e12) (e10)) = (e13)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((e10) = (e11))) -> ((e11) = (op1 (e13) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((e10) = (e13))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((e11) = (e12))) -> ((op1 (e12) (e10)) = (e12)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e11) (e11)) = (e11)) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op1 (e10) (e12)) = (e11)) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((h4 (op1 (e11) (e13))) = (op2 (h4 (e11)) (h4 (e13))))) -> ((op2 (e21) (e23)) = (e23)) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((e21) = (op2 (e23) (e23))) -> ((h4 (e13)) = (e23)) -> False).
% 51.35/51.53 do 0 intro. intros zenon_H318 zenon_H305 zenon_H10e zenon_H123 zenon_H311 zenon_H2ff zenon_H2ba zenon_H1b zenon_H2d4 zenon_H30d zenon_H314 zenon_Hfb zenon_H3b zenon_Hf6 zenon_H2e0 zenon_H7d zenon_Hf8 zenon_H113 zenon_H31b zenon_Hea zenon_H31e zenon_H2be zenon_H72 zenon_H33a zenon_H2c6 zenon_H2d1 zenon_H2e1 zenon_He2 zenon_H45 zenon_H8c zenon_H19 zenon_H1c zenon_Hc2 zenon_H3d zenon_Hcb zenon_H42 zenon_H33e zenon_H10b zenon_H7c zenon_He1 zenon_H2c9 zenon_H30b zenon_Hf3 zenon_Hec zenon_Hf0 zenon_H327 zenon_Hb0 zenon_Ha2 zenon_H65 zenon_H95 zenon_H49 zenon_H54 zenon_Hab zenon_H2c zenon_Haf zenon_H90 zenon_H35 zenon_Hde zenon_Hb5 zenon_H4b zenon_Hcf zenon_Hd3 zenon_Hda zenon_Hb8 zenon_Hc8 zenon_H11a zenon_H46 zenon_H2ce zenon_H9e zenon_H38e zenon_H1bc zenon_H2e7 zenon_H14e zenon_H2ea.
% 51.35/51.53 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H41 | zenon_intro zenon_Hf9 ].
% 51.35/51.53 apply (zenon_L555_); trivial.
% 51.35/51.53 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H47 | zenon_intro zenon_Hfa ].
% 51.35/51.53 apply (zenon_L13_); trivial.
% 51.35/51.53 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H51 ].
% 51.35/51.53 apply (zenon_L464_); trivial.
% 51.35/51.53 apply (zenon_L560_); trivial.
% 51.35/51.53 (* end of lemma zenon_L572_ *)
% 51.35/51.53 assert (zenon_L573_ : (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((e11) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((h4 (op1 (e11) (e13))) = (op2 (h4 (e11)) (h4 (e13))))) -> ((op2 (e21) (e23)) = (e23)) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((e21) = (op2 (e23) (e23))) -> ((h4 (e13)) = (e23)) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((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))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> ((op1 (e11) (e10)) = (e11)) -> ((op1 (e10) (e10)) = (e10)) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((e11) = (e13))) -> ((op1 (e10) (e12)) = (e11)) -> (~((e12) = (e13))) -> False).
% 51.35/51.53 do 0 intro. intros zenon_H32a zenon_H2be zenon_Hfe zenon_H2b zenon_H10b zenon_H2ff zenon_H2ba zenon_H2e1 zenon_H131 zenon_H128 zenon_H12c zenon_H2db zenon_H24 zenon_H324 zenon_Ha2 zenon_H65 zenon_H95 zenon_Haf zenon_H38e zenon_H1bc zenon_H2e7 zenon_H14e zenon_H2ea zenon_Hff zenon_Hf8 zenon_Hb0 zenon_Hea zenon_H9e zenon_Hb5 zenon_H45 zenon_Hcb zenon_Hf0 zenon_Hec zenon_Hf3 zenon_Hc8 zenon_Hb8 zenon_Hde zenon_He1 zenon_H54 zenon_H7d zenon_H42 zenon_Hcf zenon_Hab zenon_Hd3 zenon_H2c zenon_Hda zenon_H35 zenon_H90 zenon_Hc2 zenon_H1c zenon_H19 zenon_H8c zenon_H108 zenon_H23 zenon_Hfb zenon_H3d zenon_H11a zenon_H4b.
% 51.35/51.53 apply (zenon_or_s _ _ zenon_H32a); [ zenon_intro zenon_H2d | zenon_intro zenon_H32b ].
% 51.35/51.53 apply (zenon_L7_); trivial.
% 51.35/51.53 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H2bb | zenon_intro zenon_H32c ].
% 51.35/51.53 apply (zenon_L281_); trivial.
% 51.35/51.53 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H2bf | zenon_intro zenon_H49 ].
% 51.35/51.53 apply (zenon_L282_); trivial.
% 51.35/51.53 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ].
% 51.35/51.53 apply (zenon_L7_); trivial.
% 51.35/51.53 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_H34 | zenon_intro zenon_H101 ].
% 51.35/51.53 apply (zenon_L99_); trivial.
% 51.35/51.53 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_H7c | zenon_intro zenon_He8 ].
% 51.35/51.53 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H3c | zenon_intro zenon_H102 ].
% 51.35/51.53 apply (zenon_L317_); trivial.
% 51.35/51.53 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_H46 | zenon_intro zenon_H103 ].
% 51.35/51.53 apply (zenon_L566_); trivial.
% 51.35/51.53 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_He6 | zenon_intro zenon_H4a ].
% 51.35/51.53 apply (zenon_L427_); trivial.
% 51.35/51.53 apply (zenon_L335_); trivial.
% 51.35/51.53 apply (zenon_L543_); trivial.
% 51.35/51.53 (* end of lemma zenon_L573_ *)
% 51.35/51.53 assert (zenon_L574_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> ((h4 (e13)) = (e23)) -> ((e21) = (op2 (e23) (e23))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((op2 (e21) (e23)) = (e23)) -> (~((h4 (op1 (e11) (e13))) = (op2 (h4 (e11)) (h4 (e13))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (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)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e13))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> False).
% 51.35/51.53 do 0 intro. intros zenon_H13b zenon_H318 zenon_H305 zenon_H311 zenon_H30d zenon_H314 zenon_H2e0 zenon_H2ce zenon_H2d4 zenon_H33a zenon_H2d1 zenon_H327 zenon_H33e zenon_H341 zenon_H31e zenon_H31b zenon_H2ea zenon_H14e zenon_H2e7 zenon_H1bc zenon_H38e zenon_H324 zenon_H2db zenon_H2ff zenon_H2be zenon_H32a zenon_H2c9 zenon_H2c5 zenon_H2ba zenon_H2e1 zenon_H345 zenon_H1b zenon_H19 zenon_Hb8 zenon_H136 zenon_Hc8 zenon_Hea zenon_Hcf zenon_Hfb zenon_Ha2 zenon_H65 zenon_H95 zenon_H45 zenon_Hf8 zenon_Hff zenon_H113 zenon_H123 zenon_H131 zenon_H125 zenon_H128 zenon_H3d zenon_He1 zenon_H12c zenon_H9e zenon_H42 zenon_H4b zenon_Hb5 zenon_Hf3 zenon_Hc2 zenon_Hec zenon_Hf0 zenon_Hcb zenon_H90 zenon_H10b zenon_H2b zenon_Hfe zenon_H105 zenon_H117 zenon_H8c zenon_Haf zenon_H72 zenon_H7d zenon_H10e zenon_H54 zenon_Hf6 zenon_Hb0 zenon_H24 zenon_H135 zenon_Hde zenon_H35 zenon_Hab zenon_Hd3 zenon_H2c zenon_H1c zenon_Hda.
% 51.35/51.53 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H23 | zenon_intro zenon_H13e ].
% 51.35/51.53 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H3b | zenon_intro zenon_H139 ].
% 51.35/51.53 apply (zenon_or_s _ _ zenon_H32a); [ zenon_intro zenon_H2d | zenon_intro zenon_H32b ].
% 51.35/51.53 apply (zenon_L7_); trivial.
% 51.35/51.53 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H2bb | zenon_intro zenon_H32c ].
% 51.35/51.53 apply (zenon_L281_); trivial.
% 51.35/51.53 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H2bf | zenon_intro zenon_H49 ].
% 51.35/51.53 apply (zenon_L282_); trivial.
% 51.35/51.53 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ].
% 51.35/51.53 apply (zenon_L7_); trivial.
% 51.35/51.53 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_H34 | zenon_intro zenon_H101 ].
% 51.35/51.53 apply (zenon_L325_); trivial.
% 51.35/51.53 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_H7c | zenon_intro zenon_He8 ].
% 51.35/51.53 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H3c | zenon_intro zenon_H102 ].
% 51.35/51.53 apply (zenon_L11_); trivial.
% 51.35/51.53 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_H46 | zenon_intro zenon_H103 ].
% 51.35/51.53 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hfc ].
% 51.35/51.53 apply (zenon_L11_); trivial.
% 51.35/51.53 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H41 | zenon_intro zenon_Hfd ].
% 51.35/51.53 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H33 | zenon_intro zenon_H2e2 ].
% 51.35/51.53 apply (zenon_L12_); trivial.
% 51.35/51.53 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2e3 ].
% 51.35/51.53 apply (zenon_L283_); trivial.
% 51.35/51.53 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H126 | zenon_intro zenon_H50 ].
% 51.35/51.53 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H108 | zenon_intro zenon_H319 ].
% 51.35/51.53 apply (zenon_L566_); trivial.
% 51.35/51.53 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H30b | zenon_intro zenon_H31a ].
% 51.35/51.53 apply (zenon_L455_); trivial.
% 51.35/51.53 apply (zenon_or_s _ _ zenon_H31a); [ zenon_intro zenon_H129 | zenon_intro zenon_Ha5 ].
% 51.35/51.53 apply (zenon_L359_); trivial.
% 51.35/51.53 apply (zenon_L33_); trivial.
% 51.35/51.53 apply (zenon_L369_); trivial.
% 51.35/51.53 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_He2 | zenon_intro zenon_H66 ].
% 51.35/51.53 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H33 | zenon_intro zenon_H2e2 ].
% 51.35/51.53 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H108 | zenon_intro zenon_H319 ].
% 51.35/51.53 apply (zenon_L74_); trivial.
% 51.35/51.53 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H30b | zenon_intro zenon_H31a ].
% 51.35/51.53 apply (zenon_L567_); trivial.
% 51.35/51.53 apply (zenon_or_s _ _ zenon_H31a); [ zenon_intro zenon_H129 | zenon_intro zenon_Ha5 ].
% 51.35/51.53 apply (zenon_L568_); trivial.
% 51.35/51.53 apply (zenon_L33_); trivial.
% 51.35/51.53 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2e3 ].
% 51.35/51.53 apply (zenon_L283_); trivial.
% 51.35/51.53 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H126 | zenon_intro zenon_H50 ].
% 51.35/51.53 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H108 | zenon_intro zenon_H319 ].
% 51.35/51.53 apply (zenon_L566_); trivial.
% 51.35/51.53 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H30b | zenon_intro zenon_H31a ].
% 51.35/51.53 apply (zenon_L567_); trivial.
% 51.35/51.53 apply (zenon_or_s _ _ zenon_H31a); [ zenon_intro zenon_H129 | zenon_intro zenon_Ha5 ].
% 51.35/51.53 apply (zenon_L359_); trivial.
% 51.35/51.53 apply (zenon_L33_); trivial.
% 51.35/51.53 apply (zenon_L377_); trivial.
% 51.35/51.53 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H33 | zenon_intro zenon_H2e2 ].
% 51.35/51.53 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H41 | zenon_intro zenon_Hf9 ].
% 51.35/51.53 apply (zenon_L12_); trivial.
% 51.35/51.53 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H47 | zenon_intro zenon_Hfa ].
% 51.35/51.53 apply (zenon_L299_); trivial.
% 51.35/51.53 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H51 ].
% 51.35/51.53 apply (zenon_L561_); trivial.
% 51.35/51.53 apply (zenon_L560_); trivial.
% 51.35/51.53 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2e3 ].
% 51.35/51.53 apply (zenon_L283_); trivial.
% 51.35/51.53 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H126 | zenon_intro zenon_H50 ].
% 51.35/51.53 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H108 | zenon_intro zenon_H319 ].
% 51.35/51.53 apply (zenon_L565_); trivial.
% 51.35/51.53 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H30b | zenon_intro zenon_H31a ].
% 51.35/51.53 apply (zenon_L569_); trivial.
% 51.35/51.53 apply (zenon_or_s _ _ zenon_H31a); [ zenon_intro zenon_H129 | zenon_intro zenon_Ha5 ].
% 51.35/51.53 apply (zenon_L359_); trivial.
% 51.35/51.53 apply (zenon_L33_); trivial.
% 51.35/51.53 apply (zenon_L377_); trivial.
% 51.35/51.53 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_He6 | zenon_intro zenon_H4a ].
% 51.35/51.53 apply (zenon_L378_); trivial.
% 51.35/51.53 apply (zenon_L335_); trivial.
% 51.35/51.53 apply (zenon_L384_); trivial.
% 51.35/51.53 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H104 | zenon_intro zenon_H13a ].
% 51.35/51.53 apply (zenon_L426_); trivial.
% 51.35/51.53 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H11a | zenon_intro zenon_H11c ].
% 51.35/51.53 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H3b | zenon_intro zenon_H118 ].
% 51.35/51.53 apply (zenon_or_s _ _ zenon_H32a); [ zenon_intro zenon_H2d | zenon_intro zenon_H32b ].
% 51.35/51.53 apply (zenon_L7_); trivial.
% 51.35/51.53 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H2bb | zenon_intro zenon_H32c ].
% 51.35/51.53 apply (zenon_L281_); trivial.
% 51.35/51.53 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H2bf | zenon_intro zenon_H49 ].
% 51.35/51.53 apply (zenon_L282_); trivial.
% 51.35/51.53 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ].
% 51.35/51.53 apply (zenon_L7_); trivial.
% 51.35/51.53 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_H34 | zenon_intro zenon_H101 ].
% 51.35/51.53 apply (zenon_L325_); trivial.
% 51.35/51.53 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_H7c | zenon_intro zenon_He8 ].
% 51.35/51.53 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H3c | zenon_intro zenon_H102 ].
% 51.35/51.53 apply (zenon_L317_); trivial.
% 51.35/51.53 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_H46 | zenon_intro zenon_H103 ].
% 51.35/51.53 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hfc ].
% 51.35/51.53 apply (zenon_L317_); trivial.
% 51.35/51.53 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H41 | zenon_intro zenon_Hfd ].
% 51.35/51.53 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H33 | zenon_intro zenon_H2e2 ].
% 51.35/51.53 apply (zenon_L571_); trivial.
% 51.35/51.53 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2e3 ].
% 51.35/51.53 apply (zenon_L283_); trivial.
% 51.35/51.53 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H126 | zenon_intro zenon_H50 ].
% 51.35/51.53 apply (zenon_L501_); trivial.
% 51.35/51.53 apply (zenon_L369_); trivial.
% 51.35/51.53 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_He2 | zenon_intro zenon_H66 ].
% 51.35/51.53 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H33 | zenon_intro zenon_H2e2 ].
% 51.35/51.53 apply (zenon_L571_); trivial.
% 51.35/51.53 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2e3 ].
% 51.35/51.53 apply (zenon_L283_); trivial.
% 51.35/51.53 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H126 | zenon_intro zenon_H50 ].
% 51.35/51.53 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H108 | zenon_intro zenon_H319 ].
% 51.35/51.53 apply (zenon_L564_); trivial.
% 51.35/51.53 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H30b | zenon_intro zenon_H31a ].
% 51.35/51.53 apply (zenon_or_s _ _ zenon_H341); [ zenon_intro zenon_H34 | zenon_intro zenon_H342 ].
% 51.35/51.53 apply (zenon_L325_); trivial.
% 51.35/51.53 apply (zenon_or_s _ _ zenon_H342); [ zenon_intro zenon_H2c6 | zenon_intro zenon_H343 ].
% 51.35/51.53 apply (zenon_L572_); trivial.
% 51.35/51.53 apply (zenon_or_s _ _ zenon_H343); [ zenon_intro zenon_H12b | zenon_intro zenon_Haa ].
% 51.35/51.53 apply (zenon_L454_); trivial.
% 51.35/51.53 apply (zenon_L34_); trivial.
% 51.35/51.53 apply (zenon_or_s _ _ zenon_H31a); [ zenon_intro zenon_H129 | zenon_intro zenon_Ha5 ].
% 51.35/51.53 apply (zenon_L482_); trivial.
% 51.35/51.53 apply (zenon_L33_); trivial.
% 51.35/51.53 apply (zenon_L377_); trivial.
% 51.35/51.53 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H33 | zenon_intro zenon_H2e2 ].
% 51.35/51.53 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H108 | zenon_intro zenon_H319 ].
% 51.35/51.53 apply (zenon_L565_); trivial.
% 51.35/51.53 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H30b | zenon_intro zenon_H31a ].
% 51.35/51.53 apply (zenon_L570_); trivial.
% 51.35/51.53 apply (zenon_or_s _ _ zenon_H31a); [ zenon_intro zenon_H129 | zenon_intro zenon_Ha5 ].
% 51.35/51.53 apply (zenon_L482_); trivial.
% 51.35/51.53 apply (zenon_L33_); trivial.
% 51.35/51.53 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2e3 ].
% 51.35/51.53 apply (zenon_L283_); trivial.
% 51.35/51.53 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H126 | zenon_intro zenon_H50 ].
% 51.35/51.53 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H108 | zenon_intro zenon_H319 ].
% 51.35/51.53 apply (zenon_L573_); trivial.
% 51.35/51.53 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H30b | zenon_intro zenon_H31a ].
% 51.35/51.53 apply (zenon_L569_); trivial.
% 51.35/51.53 apply (zenon_or_s _ _ zenon_H31a); [ zenon_intro zenon_H129 | zenon_intro zenon_Ha5 ].
% 51.35/51.53 apply (zenon_L359_); trivial.
% 51.35/51.53 apply (zenon_L33_); trivial.
% 51.35/51.53 apply (zenon_L377_); trivial.
% 51.35/51.53 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_He6 | zenon_intro zenon_H4a ].
% 51.35/51.53 apply (zenon_L378_); trivial.
% 51.35/51.53 apply (zenon_L335_); trivial.
% 51.35/51.53 apply (zenon_L384_); trivial.
% 51.35/51.53 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H108 | zenon_intro zenon_H119 ].
% 51.35/51.53 apply (zenon_L573_); trivial.
% 51.35/51.53 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H10a | zenon_intro zenon_H114 ].
% 51.35/51.53 apply (zenon_L512_); trivial.
% 51.35/51.53 apply (zenon_L82_); trivial.
% 51.35/51.53 apply (zenon_L85_); trivial.
% 51.35/51.53 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H1d | zenon_intro zenon_H14b ].
% 51.35/51.53 apply (zenon_L4_); trivial.
% 51.35/51.53 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H22 | zenon_intro zenon_H4e ].
% 51.35/51.53 apply (zenon_L109_); trivial.
% 51.35/51.53 apply (zenon_L47_); trivial.
% 51.35/51.53 (* end of lemma zenon_L574_ *)
% 51.35/51.53 assert (zenon_L575_ : (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e22) = (e23))) -> ((op2 (e20) (e23)) = (e22)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((e10) = (e11))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((e11) = (e12))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((e10) = (e13))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e13))) -> (~((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 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((h4 (op1 (e11) (e13))) = (op2 (h4 (e11)) (h4 (e13))))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((h4 (e13)) = (e23)) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> ((op2 (e23) (e20)) = (e23)) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((e21) = (e23))) -> ((e21) = (op2 (e23) (e23))) -> False).
% 51.35/51.53 do 0 intro. intros zenon_H1fa zenon_H1ac zenon_H175 zenon_Hda zenon_H1c zenon_H2c zenon_Hd3 zenon_Hab zenon_H35 zenon_Hde zenon_H135 zenon_H24 zenon_Hb0 zenon_Hf6 zenon_H54 zenon_H10e zenon_H7d zenon_H72 zenon_Haf zenon_H8c zenon_H117 zenon_H105 zenon_Hfe zenon_H2b zenon_H10b zenon_H90 zenon_Hcb zenon_Hf0 zenon_Hec zenon_Hc2 zenon_Hf3 zenon_Hb5 zenon_H4b zenon_H42 zenon_H9e zenon_H12c zenon_He1 zenon_H3d zenon_H128 zenon_H125 zenon_H131 zenon_H123 zenon_H113 zenon_Hff zenon_Hf8 zenon_H45 zenon_H95 zenon_H65 zenon_Ha2 zenon_Hfb zenon_Hcf zenon_Hea zenon_Hc8 zenon_H136 zenon_Hb8 zenon_H19 zenon_H1b zenon_H345 zenon_H2e1 zenon_H2ba zenon_H2c5 zenon_H2c9 zenon_H32a zenon_H2be zenon_H2ff zenon_H2db zenon_H324 zenon_H38e zenon_H2e7 zenon_H2ea zenon_H31b zenon_H31e zenon_H341 zenon_H33e zenon_H327 zenon_H2d1 zenon_H33a zenon_H2d4 zenon_H2ce zenon_H2e0 zenon_H314 zenon_H30d zenon_H311 zenon_H305 zenon_H318 zenon_H13b zenon_H195 zenon_H14 zenon_H15e zenon_H18e zenon_H187 zenon_H1f3 zenon_H1cd zenon_H1cc zenon_H19b zenon_H1e6 zenon_H1bd zenon_H1ec zenon_H244 zenon_H245 zenon_H1f7 zenon_H14e.
% 51.35/51.53 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H1ab | zenon_intro zenon_H1fb ].
% 51.35/51.53 apply (zenon_L132_); trivial.
% 51.35/51.53 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H1bc | zenon_intro zenon_H1fc ].
% 51.35/51.53 apply (zenon_L574_); trivial.
% 51.35/51.53 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H1f8 ].
% 51.35/51.53 apply (zenon_L518_); trivial.
% 51.35/51.53 apply (zenon_L149_); trivial.
% 51.35/51.53 (* end of lemma zenon_L575_ *)
% 51.35/51.53 assert (zenon_L576_ : (~((h4 (op1 (e12) (e10))) = (op2 (h4 (e12)) (h4 (e10))))) -> ((op1 (e12) (e10)) = (e12)) -> ((op2 (e22) (e20)) = (e22)) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> False).
% 51.35/51.53 do 0 intro. intros zenon_H39a zenon_H7c zenon_H176 zenon_H349 zenon_H15e zenon_H13 zenon_H14.
% 51.35/51.53 cut (((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) = ((h4 (op1 (e12) (e10))) = (op2 (h4 (e12)) (h4 (e10))))).
% 51.35/51.53 intro zenon_D_pnotp.
% 51.35/51.53 apply zenon_H39a.
% 51.35/51.53 rewrite <- zenon_D_pnotp.
% 51.35/51.53 exact zenon_H349.
% 51.35/51.53 cut (((op2 (op2 (e23) (op2 (e23) (e23))) (e23)) = (op2 (h4 (e12)) (h4 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H39b].
% 51.35/51.53 cut (((h4 (e12)) = (h4 (op1 (e12) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H39c].
% 51.35/51.53 congruence.
% 51.35/51.53 elim (classic ((h4 (op1 (e12) (e10))) = (h4 (op1 (e12) (e10))))); [ zenon_intro zenon_H39d | zenon_intro zenon_H39e ].
% 51.35/51.53 cut (((h4 (op1 (e12) (e10))) = (h4 (op1 (e12) (e10)))) = ((h4 (e12)) = (h4 (op1 (e12) (e10))))).
% 51.35/51.53 intro zenon_D_pnotp.
% 51.35/51.53 apply zenon_H39c.
% 51.35/51.53 rewrite <- zenon_D_pnotp.
% 51.35/51.53 exact zenon_H39d.
% 51.35/51.53 cut (((h4 (op1 (e12) (e10))) = (h4 (op1 (e12) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H39e].
% 51.35/51.53 cut (((h4 (op1 (e12) (e10))) = (h4 (e12)))); [idtac | apply NNPP; zenon_intro zenon_H39f].
% 51.35/51.53 congruence.
% 51.35/51.53 cut (((op1 (e12) (e10)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H10d].
% 51.35/51.53 congruence.
% 51.35/51.53 exact (zenon_H10d zenon_H7c).
% 51.35/51.53 apply zenon_H39e. apply refl_equal.
% 51.35/51.53 apply zenon_H39e. apply refl_equal.
% 51.35/51.53 elim (classic ((op2 (h4 (e12)) (h4 (e10))) = (op2 (h4 (e12)) (h4 (e10))))); [ zenon_intro zenon_H3a0 | zenon_intro zenon_H3a1 ].
% 51.35/51.53 cut (((op2 (h4 (e12)) (h4 (e10))) = (op2 (h4 (e12)) (h4 (e10)))) = ((op2 (op2 (e23) (op2 (e23) (e23))) (e23)) = (op2 (h4 (e12)) (h4 (e10))))).
% 51.35/51.53 intro zenon_D_pnotp.
% 51.35/51.53 apply zenon_H39b.
% 51.35/51.53 rewrite <- zenon_D_pnotp.
% 51.35/51.53 exact zenon_H3a0.
% 51.35/51.53 cut (((op2 (h4 (e12)) (h4 (e10))) = (op2 (h4 (e12)) (h4 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H3a1].
% 51.35/51.53 cut (((op2 (h4 (e12)) (h4 (e10))) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H3a2].
% 51.35/51.53 congruence.
% 51.35/51.53 cut (((op2 (e22) (e20)) = (e22)) = ((op2 (h4 (e12)) (h4 (e10))) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23)))).
% 51.35/51.53 intro zenon_D_pnotp.
% 51.35/51.53 apply zenon_H3a2.
% 51.35/51.53 rewrite <- zenon_D_pnotp.
% 51.35/51.53 exact zenon_H176.
% 51.35/51.53 cut (((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H37f].
% 51.35/51.53 cut (((op2 (e22) (e20)) = (op2 (h4 (e12)) (h4 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H3a3].
% 51.35/51.53 congruence.
% 51.35/51.53 elim (classic ((op2 (h4 (e12)) (h4 (e10))) = (op2 (h4 (e12)) (h4 (e10))))); [ zenon_intro zenon_H3a0 | zenon_intro zenon_H3a1 ].
% 51.35/51.53 cut (((op2 (h4 (e12)) (h4 (e10))) = (op2 (h4 (e12)) (h4 (e10)))) = ((op2 (e22) (e20)) = (op2 (h4 (e12)) (h4 (e10))))).
% 51.35/51.53 intro zenon_D_pnotp.
% 51.35/51.53 apply zenon_H3a3.
% 51.35/51.53 rewrite <- zenon_D_pnotp.
% 51.35/51.53 exact zenon_H3a0.
% 51.35/51.53 cut (((op2 (h4 (e12)) (h4 (e10))) = (op2 (h4 (e12)) (h4 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H3a1].
% 51.35/51.53 cut (((op2 (h4 (e12)) (h4 (e10))) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H3a4].
% 51.35/51.53 congruence.
% 51.35/51.53 cut (((h4 (e10)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H12].
% 51.35/51.53 cut (((h4 (e12)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H348].
% 51.35/51.53 congruence.
% 51.35/51.53 apply (zenon_L487_); trivial.
% 51.35/51.53 apply (zenon_L1_); trivial.
% 51.35/51.53 apply zenon_H3a1. apply refl_equal.
% 51.35/51.53 apply zenon_H3a1. apply refl_equal.
% 51.35/51.53 exact (zenon_H37f zenon_H15e).
% 51.35/51.53 apply zenon_H3a1. apply refl_equal.
% 51.35/51.53 apply zenon_H3a1. apply refl_equal.
% 51.35/51.53 (* end of lemma zenon_L576_ *)
% 51.35/51.53 assert (zenon_L577_ : (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((op2 (e22) (e20)) = (e22)) -> (~((h4 (op1 (e12) (e10))) = (op2 (h4 (e12)) (h4 (e10))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((op1 (e10) (e10)) = (e11)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((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))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e13))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((op1 (e10) (e10)) = (e10)) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> False).
% 51.35/51.53 do 0 intro. intros zenon_H32a zenon_Hfe zenon_H2b zenon_Ha2 zenon_H125 zenon_H2d1 zenon_H24 zenon_H2c9 zenon_H2be zenon_H2c5 zenon_H2e1 zenon_H14 zenon_H13 zenon_H15e zenon_H349 zenon_H176 zenon_H39a zenon_Hff zenon_Hf6 zenon_Hf8 zenon_Hb0 zenon_Hea zenon_H9e zenon_Hb5 zenon_H45 zenon_H2ba zenon_H3b zenon_H105 zenon_H1b zenon_H2d4 zenon_Hcb zenon_Hf0 zenon_Hec zenon_Hf3 zenon_Hc8 zenon_Hb8 zenon_Hcf zenon_H72 zenon_H65 zenon_H2ce zenon_H42 zenon_H7d zenon_H54 zenon_He1 zenon_H3d zenon_H35 zenon_H90 zenon_Hc2 zenon_H19 zenon_H8c zenon_H2e0 zenon_H314 zenon_H30d zenon_H2ff zenon_Haf zenon_H311 zenon_H123 zenon_H10e zenon_H95 zenon_H305 zenon_H2db zenon_H318 zenon_H23 zenon_Hfb zenon_Hde zenon_H4b zenon_Hab zenon_Hd3 zenon_H2c zenon_H1c zenon_Hda.
% 51.35/51.53 apply (zenon_or_s _ _ zenon_H32a); [ zenon_intro zenon_H2d | zenon_intro zenon_H32b ].
% 51.35/51.53 apply (zenon_L7_); trivial.
% 51.35/51.53 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H2bb | zenon_intro zenon_H32c ].
% 51.35/51.53 apply (zenon_L281_); trivial.
% 51.35/51.53 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H2bf | zenon_intro zenon_H49 ].
% 51.35/51.53 apply (zenon_L282_); trivial.
% 51.35/51.53 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ].
% 51.35/51.53 apply (zenon_L7_); trivial.
% 51.35/51.53 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_H34 | zenon_intro zenon_H101 ].
% 51.35/51.53 apply (zenon_L325_); trivial.
% 51.35/51.53 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_H7c | zenon_intro zenon_He8 ].
% 51.35/51.53 apply (zenon_L576_); trivial.
% 51.35/51.53 apply (zenon_L384_); trivial.
% 51.35/51.53 (* end of lemma zenon_L577_ *)
% 51.35/51.53 assert (zenon_L578_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((h4 (op1 (e12) (e10))) = (op2 (h4 (e12)) (h4 (e10))))) -> ((op2 (e22) (e20)) = (e22)) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (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)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e13))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> False).
% 51.35/51.54 do 0 intro. intros zenon_H13b zenon_H318 zenon_H2db zenon_H305 zenon_H311 zenon_H2ff zenon_H30d zenon_H314 zenon_H2e0 zenon_H2ce zenon_H2d4 zenon_H2d1 zenon_H39a zenon_H176 zenon_H349 zenon_H15e zenon_H13 zenon_H14 zenon_H2be zenon_H32a zenon_H2c9 zenon_H2c5 zenon_H2ba zenon_H2e1 zenon_H324 zenon_H327 zenon_H1b zenon_H19 zenon_Hb8 zenon_H136 zenon_Hc8 zenon_Hea zenon_Hcf zenon_Hfb zenon_Ha2 zenon_H65 zenon_H95 zenon_H45 zenon_Hf8 zenon_Hff zenon_H113 zenon_H123 zenon_H131 zenon_H125 zenon_H128 zenon_H3d zenon_He1 zenon_H12c zenon_H9e zenon_H42 zenon_H4b zenon_Hb5 zenon_Hf3 zenon_Hc2 zenon_Hec zenon_Hf0 zenon_Hcb zenon_H90 zenon_H10b zenon_H2b zenon_Hfe zenon_H105 zenon_H117 zenon_H8c zenon_Haf zenon_H72 zenon_H7d zenon_H10e zenon_H54 zenon_Hf6 zenon_Hb0 zenon_H24 zenon_H135 zenon_Hde zenon_H35 zenon_Hab zenon_Hd3 zenon_H2c zenon_H1c zenon_Hda.
% 51.35/51.54 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H23 | zenon_intro zenon_H13e ].
% 51.35/51.54 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H3b | zenon_intro zenon_H139 ].
% 51.35/51.54 apply (zenon_L577_); trivial.
% 51.35/51.54 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H104 | zenon_intro zenon_H13a ].
% 51.35/51.54 apply (zenon_L426_); trivial.
% 51.35/51.54 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H11a | zenon_intro zenon_H11c ].
% 51.35/51.54 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H3b | zenon_intro zenon_H118 ].
% 51.35/51.54 apply (zenon_L577_); trivial.
% 51.35/51.54 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H108 | zenon_intro zenon_H119 ].
% 51.35/51.54 apply (zenon_or_s _ _ zenon_H32a); [ zenon_intro zenon_H2d | zenon_intro zenon_H32b ].
% 51.35/51.54 apply (zenon_L7_); trivial.
% 51.35/51.54 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H2bb | zenon_intro zenon_H32c ].
% 51.35/51.54 apply (zenon_L281_); trivial.
% 51.35/51.54 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H2bf | zenon_intro zenon_H49 ].
% 51.35/51.54 apply (zenon_L282_); trivial.
% 51.35/51.54 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ].
% 51.35/51.54 apply (zenon_L7_); trivial.
% 51.35/51.54 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_H34 | zenon_intro zenon_H101 ].
% 51.35/51.54 apply (zenon_L99_); trivial.
% 51.35/51.54 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_H7c | zenon_intro zenon_He8 ].
% 51.35/51.54 apply (zenon_L576_); trivial.
% 51.35/51.54 apply (zenon_L543_); trivial.
% 51.35/51.54 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H10a | zenon_intro zenon_H114 ].
% 51.35/51.54 apply (zenon_L512_); trivial.
% 51.35/51.54 apply (zenon_L82_); trivial.
% 51.35/51.54 apply (zenon_L85_); trivial.
% 51.35/51.54 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H1d | zenon_intro zenon_H14b ].
% 51.35/51.54 apply (zenon_L4_); trivial.
% 51.35/51.54 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H22 | zenon_intro zenon_H4e ].
% 51.35/51.54 apply (zenon_L109_); trivial.
% 51.35/51.54 apply (zenon_L47_); trivial.
% 51.35/51.54 (* end of lemma zenon_L578_ *)
% 51.35/51.54 assert (zenon_L579_ : ((h4 (e11)) = (op2 (e23) (e23))) -> ((op1 (e12) (e11)) = (e11)) -> ((e21) = (op2 (e23) (e23))) -> (~((e21) = (h4 (op1 (e12) (e11))))) -> False).
% 51.35/51.54 do 0 intro. intros zenon_H2e7 zenon_H330 zenon_H14e zenon_H3a5.
% 51.35/51.54 elim (classic ((h4 (op1 (e12) (e11))) = (h4 (op1 (e12) (e11))))); [ zenon_intro zenon_H3a6 | zenon_intro zenon_H3a7 ].
% 51.35/51.54 cut (((h4 (op1 (e12) (e11))) = (h4 (op1 (e12) (e11)))) = ((e21) = (h4 (op1 (e12) (e11))))).
% 51.35/51.54 intro zenon_D_pnotp.
% 51.35/51.54 apply zenon_H3a5.
% 51.35/51.54 rewrite <- zenon_D_pnotp.
% 51.35/51.54 exact zenon_H3a6.
% 51.35/51.54 cut (((h4 (op1 (e12) (e11))) = (h4 (op1 (e12) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H3a7].
% 51.35/51.54 cut (((h4 (op1 (e12) (e11))) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H3a8].
% 51.35/51.54 congruence.
% 51.35/51.54 cut (((h4 (e11)) = (op2 (e23) (e23))) = ((h4 (op1 (e12) (e11))) = (e21))).
% 51.35/51.54 intro zenon_D_pnotp.
% 51.35/51.54 apply zenon_H3a8.
% 51.35/51.54 rewrite <- zenon_D_pnotp.
% 51.35/51.54 exact zenon_H2e7.
% 51.35/51.54 cut (((op2 (e23) (e23)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H14f].
% 51.35/51.54 cut (((h4 (e11)) = (h4 (op1 (e12) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H3a9].
% 51.35/51.54 congruence.
% 51.35/51.54 elim (classic ((h4 (op1 (e12) (e11))) = (h4 (op1 (e12) (e11))))); [ zenon_intro zenon_H3a6 | zenon_intro zenon_H3a7 ].
% 51.35/51.54 cut (((h4 (op1 (e12) (e11))) = (h4 (op1 (e12) (e11)))) = ((h4 (e11)) = (h4 (op1 (e12) (e11))))).
% 51.35/51.54 intro zenon_D_pnotp.
% 51.35/51.54 apply zenon_H3a9.
% 51.35/51.54 rewrite <- zenon_D_pnotp.
% 51.35/51.54 exact zenon_H3a6.
% 51.35/51.54 cut (((h4 (op1 (e12) (e11))) = (h4 (op1 (e12) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H3a7].
% 51.35/51.54 cut (((h4 (op1 (e12) (e11))) = (h4 (e11)))); [idtac | apply NNPP; zenon_intro zenon_H3aa].
% 51.35/51.54 congruence.
% 51.35/51.54 cut (((op1 (e12) (e11)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H3ab].
% 51.35/51.54 congruence.
% 51.35/51.54 exact (zenon_H3ab zenon_H330).
% 51.35/51.54 apply zenon_H3a7. apply refl_equal.
% 51.35/51.54 apply zenon_H3a7. apply refl_equal.
% 51.35/51.54 apply zenon_H14f. apply sym_equal. exact zenon_H14e.
% 51.35/51.54 apply zenon_H3a7. apply refl_equal.
% 51.35/51.54 apply zenon_H3a7. apply refl_equal.
% 51.35/51.54 (* end of lemma zenon_L579_ *)
% 51.35/51.54 assert (zenon_L580_ : ((op2 (e22) (e21)) = (e21)) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((e21) = (op2 (e23) (e23))) -> ((op1 (e12) (e11)) = (e11)) -> (~((h4 (op1 (e12) (e11))) = (op2 (h4 (e12)) (h4 (e11))))) -> False).
% 51.35/51.54 do 0 intro. intros zenon_H3ac zenon_H349 zenon_H15e zenon_H2e7 zenon_H14e zenon_H330 zenon_H3ad.
% 51.35/51.54 elim (classic ((op2 (h4 (e12)) (h4 (e11))) = (op2 (h4 (e12)) (h4 (e11))))); [ zenon_intro zenon_H3ae | zenon_intro zenon_H3af ].
% 51.35/51.54 cut (((op2 (h4 (e12)) (h4 (e11))) = (op2 (h4 (e12)) (h4 (e11)))) = ((h4 (op1 (e12) (e11))) = (op2 (h4 (e12)) (h4 (e11))))).
% 51.35/51.54 intro zenon_D_pnotp.
% 51.35/51.54 apply zenon_H3ad.
% 51.35/51.54 rewrite <- zenon_D_pnotp.
% 51.35/51.54 exact zenon_H3ae.
% 51.35/51.54 cut (((op2 (h4 (e12)) (h4 (e11))) = (op2 (h4 (e12)) (h4 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H3af].
% 51.35/51.54 cut (((op2 (h4 (e12)) (h4 (e11))) = (h4 (op1 (e12) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H3b0].
% 51.35/51.54 congruence.
% 51.35/51.54 cut (((op2 (e22) (e21)) = (e21)) = ((op2 (h4 (e12)) (h4 (e11))) = (h4 (op1 (e12) (e11))))).
% 51.35/51.54 intro zenon_D_pnotp.
% 51.35/51.54 apply zenon_H3b0.
% 51.35/51.54 rewrite <- zenon_D_pnotp.
% 51.35/51.54 exact zenon_H3ac.
% 51.35/51.54 cut (((e21) = (h4 (op1 (e12) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H3a5].
% 51.35/51.54 cut (((op2 (e22) (e21)) = (op2 (h4 (e12)) (h4 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H3b1].
% 51.35/51.54 congruence.
% 51.35/51.54 elim (classic ((op2 (h4 (e12)) (h4 (e11))) = (op2 (h4 (e12)) (h4 (e11))))); [ zenon_intro zenon_H3ae | zenon_intro zenon_H3af ].
% 51.35/51.54 cut (((op2 (h4 (e12)) (h4 (e11))) = (op2 (h4 (e12)) (h4 (e11)))) = ((op2 (e22) (e21)) = (op2 (h4 (e12)) (h4 (e11))))).
% 51.35/51.54 intro zenon_D_pnotp.
% 51.35/51.54 apply zenon_H3b1.
% 51.35/51.54 rewrite <- zenon_D_pnotp.
% 51.35/51.54 exact zenon_H3ae.
% 51.35/51.54 cut (((op2 (h4 (e12)) (h4 (e11))) = (op2 (h4 (e12)) (h4 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H3af].
% 51.35/51.54 cut (((op2 (h4 (e12)) (h4 (e11))) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H3b2].
% 51.35/51.54 congruence.
% 51.35/51.54 cut (((h4 (e11)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H2e6].
% 51.35/51.54 cut (((h4 (e12)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H348].
% 51.35/51.54 congruence.
% 51.35/51.54 apply (zenon_L487_); trivial.
% 51.35/51.54 apply (zenon_L326_); trivial.
% 51.35/51.54 apply zenon_H3af. apply refl_equal.
% 51.35/51.54 apply zenon_H3af. apply refl_equal.
% 51.35/51.54 apply (zenon_L579_); trivial.
% 51.35/51.54 apply zenon_H3af. apply refl_equal.
% 51.35/51.54 apply zenon_H3af. apply refl_equal.
% 51.35/51.54 (* end of lemma zenon_L580_ *)
% 51.35/51.54 assert (zenon_L581_ : (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((op1 (e12) (e10)) = (e13)) -> (~((h4 (op1 (e12) (e11))) = (op2 (h4 (e12)) (h4 (e11))))) -> ((e21) = (op2 (e23) (e23))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((op2 (e22) (e21)) = (e21)) -> (~((e11) = (e13))) -> ((op1 (e11) (e11)) = (e11)) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((e12) = (e13))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((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))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> ((op1 (e10) (e10)) = (e11)) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((op1 (e10) (e13)) = (e12)) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e12))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e11))) -> ((op1 (e13) (e11)) = (e10)) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e10)) = (e12)) -> ((op1 (e11) (e11)) = (e12)) -> ((op1 (e10) (e11)) = (e13)) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> False).
% 51.35/51.54 do 0 intro. intros zenon_H33e zenon_He2 zenon_H3ad zenon_H14e zenon_H2e7 zenon_H15e zenon_H349 zenon_H3ac zenon_H3d zenon_H30b zenon_H31b zenon_H113 zenon_H4b zenon_Hf8 zenon_Hb0 zenon_Hea zenon_Hb5 zenon_H45 zenon_Hcb zenon_Hf0 zenon_Hec zenon_Hf3 zenon_Hc8 zenon_Hb8 zenon_H7d zenon_Hcf zenon_Hc2 zenon_H2e0 zenon_Hf6 zenon_H3b zenon_Hfb zenon_H314 zenon_H30d zenon_H2d4 zenon_H1b zenon_H2ba zenon_H2ff zenon_Haf zenon_H311 zenon_H123 zenon_H10e zenon_H95 zenon_H305 zenon_H318 zenon_H49 zenon_H90 zenon_H35 zenon_H42 zenon_Hda zenon_H1c zenon_H2c zenon_Hd3 zenon_Hab zenon_He1 zenon_H54 zenon_H51 zenon_H65 zenon_Hde zenon_H8c zenon_Hbe zenon_H31e zenon_H2be zenon_Ha2 zenon_H72 zenon_H2ce zenon_H33a zenon_H7c zenon_H2c6 zenon_H46 zenon_H2d1 zenon_H9e zenon_H19.
% 51.35/51.54 apply (zenon_or_s _ _ zenon_H33e); [ zenon_intro zenon_H10a | zenon_intro zenon_H33f ].
% 51.35/51.54 apply (zenon_L421_); trivial.
% 51.35/51.54 apply (zenon_or_s _ _ zenon_H33f); [ zenon_intro zenon_H330 | zenon_intro zenon_H340 ].
% 51.35/51.54 apply (zenon_L580_); trivial.
% 51.35/51.54 apply (zenon_or_s _ _ zenon_H340); [ zenon_intro zenon_H335 | zenon_intro zenon_H33b ].
% 51.35/51.54 apply (zenon_L476_); trivial.
% 51.35/51.54 apply (zenon_L452_); trivial.
% 51.35/51.54 (* end of lemma zenon_L581_ *)
% 51.35/51.54 assert (zenon_L582_ : (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((e11) = (e12))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((op1 (e10) (e11)) = (e13)) -> ((op1 (e11) (e11)) = (e12)) -> ((op1 (e12) (e10)) = (e12)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e13))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op1 (e10) (e13)) = (e12)) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((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)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> ((op1 (e10) (e10)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (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 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> ((op1 (e11) (e11)) = (e11)) -> (~((e11) = (e13))) -> ((op2 (e22) (e21)) = (e21)) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((e21) = (op2 (e23) (e23))) -> (~((h4 (op1 (e12) (e11))) = (op2 (h4 (e12)) (h4 (e11))))) -> ((op1 (e12) (e10)) = (e13)) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> False).
% 51.35/51.54 do 0 intro. intros zenon_H327 zenon_H105 zenon_H10b zenon_H9e zenon_H2d1 zenon_H46 zenon_H2c6 zenon_H7c zenon_H33a zenon_H2ce zenon_H72 zenon_Ha2 zenon_H2be zenon_H31e zenon_Hde zenon_H65 zenon_H54 zenon_He1 zenon_Hab zenon_Hd3 zenon_H2c zenon_Hda zenon_H42 zenon_H35 zenon_H90 zenon_H49 zenon_H318 zenon_H305 zenon_H95 zenon_H10e zenon_H123 zenon_H311 zenon_Haf zenon_H2ff zenon_H2ba zenon_H1b zenon_H2d4 zenon_H30d zenon_H314 zenon_Hfb zenon_H3b zenon_Hf6 zenon_H2e0 zenon_Hcf zenon_H7d zenon_Hb8 zenon_Hc8 zenon_Hf3 zenon_Hec zenon_Hf0 zenon_Hcb zenon_H45 zenon_Hb5 zenon_Hea zenon_Hb0 zenon_Hf8 zenon_H4b zenon_H113 zenon_H31b zenon_H30b zenon_H3d zenon_H3ac zenon_H349 zenon_H15e zenon_H2e7 zenon_H14e zenon_H3ad zenon_He2 zenon_H33e zenon_Hc2 zenon_H1c zenon_H19 zenon_H8c.
% 51.35/51.54 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H41 | zenon_intro zenon_Hf9 ].
% 51.35/51.54 apply (zenon_or_s _ _ zenon_H33e); [ zenon_intro zenon_H10a | zenon_intro zenon_H33f ].
% 51.35/51.54 apply (zenon_L421_); trivial.
% 51.35/51.54 apply (zenon_or_s _ _ zenon_H33f); [ zenon_intro zenon_H330 | zenon_intro zenon_H340 ].
% 51.35/51.54 apply (zenon_L580_); trivial.
% 51.35/51.54 apply (zenon_or_s _ _ zenon_H340); [ zenon_intro zenon_H335 | zenon_intro zenon_H33b ].
% 51.35/51.54 apply (zenon_L451_); trivial.
% 51.35/51.54 apply (zenon_L452_); trivial.
% 51.35/51.54 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H47 | zenon_intro zenon_Hfa ].
% 51.35/51.54 apply (zenon_L299_); trivial.
% 51.35/51.54 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H51 ].
% 51.35/51.54 apply (zenon_or_s _ _ zenon_H33e); [ zenon_intro zenon_H10a | zenon_intro zenon_H33f ].
% 51.35/51.54 apply (zenon_L75_); trivial.
% 51.35/51.54 apply (zenon_or_s _ _ zenon_H33f); [ zenon_intro zenon_H330 | zenon_intro zenon_H340 ].
% 51.35/51.54 apply (zenon_L580_); trivial.
% 51.35/51.54 apply (zenon_or_s _ _ zenon_H340); [ zenon_intro zenon_H335 | zenon_intro zenon_H33b ].
% 51.35/51.54 apply (zenon_L470_); trivial.
% 51.35/51.54 apply (zenon_L452_); trivial.
% 51.35/51.54 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hc9 ].
% 51.35/51.54 apply (zenon_L39_); trivial.
% 51.35/51.54 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hca ].
% 51.35/51.54 apply (zenon_L581_); trivial.
% 51.35/51.54 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H8b ].
% 51.35/51.54 apply (zenon_L41_); trivial.
% 51.35/51.54 apply (zenon_L24_); trivial.
% 51.35/51.54 (* end of lemma zenon_L582_ *)
% 51.35/51.54 assert (zenon_L583_ : (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((op1 (e12) (e10)) = (e13)) -> (~((h4 (op1 (e12) (e11))) = (op2 (h4 (e12)) (h4 (e11))))) -> ((e21) = (op2 (e23) (e23))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((op2 (e22) (e21)) = (e21)) -> (~((e11) = (e13))) -> ((op1 (e11) (e11)) = (e11)) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((e12) = (e13))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> ((op1 (e10) (e10)) = (e11)) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e11)) = (e13)) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((op1 (e12) (e10)) = (e12)) -> ((op1 (e10) (e13)) = (e12)) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e12))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> False).
% 51.35/51.54 do 0 intro. intros zenon_H2e1 zenon_H33e zenon_He2 zenon_H3ad zenon_H14e zenon_H2e7 zenon_H15e zenon_H349 zenon_H3ac zenon_H3d zenon_H30b zenon_H31b zenon_H113 zenon_H4b zenon_Hf8 zenon_Hb0 zenon_Hea zenon_Hb5 zenon_H45 zenon_Hcb zenon_Hf0 zenon_Hec zenon_Hf3 zenon_H7d zenon_Hcf zenon_H2e0 zenon_Hf6 zenon_H3b zenon_Hfb zenon_H314 zenon_H30d zenon_H2d4 zenon_H1b zenon_H2ba zenon_Haf zenon_H311 zenon_H123 zenon_H10e zenon_H95 zenon_H305 zenon_H318 zenon_H90 zenon_H42 zenon_Hda zenon_Hd3 zenon_Hab zenon_He1 zenon_H54 zenon_H65 zenon_Hde zenon_H31e zenon_H2be zenon_Ha2 zenon_H72 zenon_H2ce zenon_H33a zenon_H46 zenon_H2d1 zenon_H9e zenon_H10b zenon_H105 zenon_H327 zenon_H2ff zenon_H7c zenon_H49 zenon_H2c zenon_Hc8 zenon_Hb8 zenon_H35 zenon_Hc2 zenon_H1c zenon_H19 zenon_H8c.
% 51.35/51.54 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H2bb | zenon_intro zenon_H2e4 ].
% 51.35/51.54 apply (zenon_L281_); trivial.
% 51.35/51.54 apply (zenon_or_s _ _ zenon_H2e4); [ zenon_intro zenon_H2c6 | zenon_intro zenon_H2e5 ].
% 51.35/51.54 apply (zenon_L582_); trivial.
% 51.35/51.54 apply (zenon_or_s _ _ zenon_H2e5); [ zenon_intro zenon_H2c8 | zenon_intro zenon_H2de ].
% 51.35/51.54 apply (zenon_L332_); trivial.
% 51.35/51.54 apply (zenon_L309_); trivial.
% 51.35/51.54 (* end of lemma zenon_L583_ *)
% 51.35/51.54 assert (zenon_L584_ : (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> ((op1 (e13) (e11)) = (e11)) -> False).
% 51.35/51.54 do 0 intro. intros zenon_H3b3 zenon_H19 zenon_H3b4.
% 51.35/51.54 cut (((e11) = (op1 (e13) (e13))) = ((op1 (e13) (e11)) = (op1 (e13) (e13)))).
% 51.35/51.54 intro zenon_D_pnotp.
% 51.35/51.54 apply zenon_H3b3.
% 51.35/51.54 rewrite <- zenon_D_pnotp.
% 51.35/51.54 exact zenon_H19.
% 51.35/51.54 cut (((op1 (e13) (e13)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H5c].
% 51.35/51.54 cut (((e11) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H3b5].
% 51.35/51.54 congruence.
% 51.35/51.54 elim (classic ((op1 (e13) (e11)) = (op1 (e13) (e11)))); [ zenon_intro zenon_H3b6 | zenon_intro zenon_H3b7 ].
% 51.35/51.54 cut (((op1 (e13) (e11)) = (op1 (e13) (e11))) = ((e11) = (op1 (e13) (e11)))).
% 51.35/51.54 intro zenon_D_pnotp.
% 51.35/51.54 apply zenon_H3b5.
% 51.35/51.54 rewrite <- zenon_D_pnotp.
% 51.35/51.54 exact zenon_H3b6.
% 51.35/51.54 cut (((op1 (e13) (e11)) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H3b7].
% 51.35/51.54 cut (((op1 (e13) (e11)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H3b8].
% 51.35/51.54 congruence.
% 51.35/51.54 exact (zenon_H3b8 zenon_H3b4).
% 51.35/51.54 apply zenon_H3b7. apply refl_equal.
% 51.35/51.54 apply zenon_H3b7. apply refl_equal.
% 51.35/51.54 apply zenon_H5c. apply refl_equal.
% 51.35/51.54 (* end of lemma zenon_L584_ *)
% 51.35/51.54 assert (zenon_L585_ : (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e13) (e10)) = (e13)) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e10)) = (e12)) -> ((op1 (e11) (e11)) = (e12)) -> ((op1 (e10) (e11)) = (e13)) -> ((op1 (e12) (e12)) = (e11)) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((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 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e13))) -> (~((e12) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((e11) = (e13))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> False).
% 51.35/51.54 do 0 intro. intros zenon_H2ff zenon_H2ba zenon_H2e1 zenon_H31e zenon_H2be zenon_Ha2 zenon_H305 zenon_Hb5 zenon_H72 zenon_H65 zenon_H66 zenon_H49 zenon_H2ce zenon_H33a zenon_H7c zenon_H2c6 zenon_H46 zenon_H335 zenon_H90 zenon_H7d zenon_H2d1 zenon_Haf zenon_H2c zenon_Hab zenon_H54 zenon_H327 zenon_Hb0 zenon_Hc8 zenon_Hb8 zenon_H42 zenon_H4b zenon_Hcf zenon_H35 zenon_Hd3 zenon_H95 zenon_H41 zenon_Hea zenon_H9e zenon_He1 zenon_Hde zenon_Hda zenon_H3d zenon_Hc2 zenon_H1c zenon_H19 zenon_H8c.
% 51.35/51.54 apply (zenon_or_s _ _ zenon_H31e); [ zenon_intro zenon_H2bf | zenon_intro zenon_H31f ].
% 51.35/51.54 apply (zenon_L282_); trivial.
% 51.35/51.54 apply (zenon_or_s _ _ zenon_H31f); [ zenon_intro zenon_H12b | zenon_intro zenon_H320 ].
% 51.35/51.54 apply (zenon_L333_); trivial.
% 51.35/51.54 apply (zenon_or_s _ _ zenon_H320); [ zenon_intro zenon_H304 | zenon_intro zenon_Hf1 ].
% 51.35/51.54 apply (zenon_L334_); trivial.
% 51.35/51.54 apply (zenon_L449_); trivial.
% 51.35/51.54 (* end of lemma zenon_L585_ *)
% 51.35/51.54 assert (zenon_L586_ : (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((e10) = (e11))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e10) = (e13))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op1 (e12) (e12)) = (e11)) -> ((op1 (e10) (e11)) = (e13)) -> ((op1 (e11) (e11)) = (e12)) -> ((op1 (e12) (e10)) = (e12)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (e13) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> ((op1 (e11) (e12)) = (e13)) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((e11) = (e13))) -> ((e11) = (op1 (e13) (e13))) -> False).
% 51.35/51.54 do 0 intro. intros zenon_H31e zenon_H2be zenon_Hc2 zenon_Hb8 zenon_Hc8 zenon_H2ff zenon_H2ba zenon_H2e1 zenon_H305 zenon_Hb5 zenon_H4b zenon_H8c zenon_H2d1 zenon_H7d zenon_H42 zenon_H35 zenon_H90 zenon_H335 zenon_H46 zenon_H2c6 zenon_H7c zenon_H33a zenon_H2ce zenon_H72 zenon_Haf zenon_H2c zenon_H1c zenon_Hab zenon_H54 zenon_H49 zenon_H95 zenon_H66 zenon_H65 zenon_H9e zenon_Ha2 zenon_Ha3 zenon_Hb0 zenon_H3d zenon_H19.
% 51.35/51.54 apply (zenon_or_s _ _ zenon_H31e); [ zenon_intro zenon_H2bf | zenon_intro zenon_H31f ].
% 51.35/51.54 apply (zenon_L282_); trivial.
% 51.35/51.54 apply (zenon_or_s _ _ zenon_H31f); [ zenon_intro zenon_H12b | zenon_intro zenon_H320 ].
% 51.35/51.54 apply (zenon_L333_); trivial.
% 51.35/51.54 apply (zenon_or_s _ _ zenon_H320); [ zenon_intro zenon_H304 | zenon_intro zenon_Hf1 ].
% 51.35/51.54 apply (zenon_L334_); trivial.
% 51.35/51.54 apply (zenon_L468_); trivial.
% 51.35/51.54 (* end of lemma zenon_L586_ *)
% 51.35/51.54 assert (zenon_L587_ : (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((e11) = (e12))) -> (~((h4 (op1 (e12) (e11))) = (op2 (h4 (e12)) (h4 (e11))))) -> ((e21) = (op2 (e23) (e23))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((op2 (e22) (e21)) = (e21)) -> (~((e11) = (e13))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> ((op1 (e11) (e12)) = (e13)) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e13) (e10)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e10)) = (e12)) -> ((op1 (e11) (e11)) = (e12)) -> ((op1 (e10) (e11)) = (e13)) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e12))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((e10) = (e11))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> False).
% 51.35/51.54 do 0 intro. intros zenon_H33e zenon_H10b zenon_H3ad zenon_H14e zenon_H2e7 zenon_H15e zenon_H349 zenon_H3ac zenon_H3d zenon_Hb0 zenon_Ha3 zenon_Ha2 zenon_H65 zenon_H66 zenon_H95 zenon_H49 zenon_H54 zenon_Hab zenon_H1c zenon_H2c zenon_Haf zenon_H72 zenon_H2ce zenon_H33a zenon_H7c zenon_H2c6 zenon_H46 zenon_H90 zenon_H35 zenon_H42 zenon_H7d zenon_H2d1 zenon_H8c zenon_H4b zenon_Hb5 zenon_H305 zenon_H2e1 zenon_H2ba zenon_H2ff zenon_Hc8 zenon_Hb8 zenon_Hc2 zenon_H2be zenon_H31e zenon_H9e zenon_H19.
% 51.35/51.54 apply (zenon_or_s _ _ zenon_H33e); [ zenon_intro zenon_H10a | zenon_intro zenon_H33f ].
% 51.35/51.54 apply (zenon_L75_); trivial.
% 51.35/51.54 apply (zenon_or_s _ _ zenon_H33f); [ zenon_intro zenon_H330 | zenon_intro zenon_H340 ].
% 51.35/51.54 apply (zenon_L580_); trivial.
% 51.35/51.54 apply (zenon_or_s _ _ zenon_H340); [ zenon_intro zenon_H335 | zenon_intro zenon_H33b ].
% 51.35/51.54 apply (zenon_L586_); trivial.
% 51.35/51.54 apply (zenon_L452_); trivial.
% 51.35/51.54 (* end of lemma zenon_L587_ *)
% 51.35/51.54 assert (zenon_L588_ : (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((e11) = (e12))) -> (~((h4 (op1 (e12) (e11))) = (op2 (h4 (e12)) (h4 (e11))))) -> ((e21) = (op2 (e23) (e23))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((op2 (e22) (e21)) = (e21)) -> (~((e10) = (e11))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e10) = (e13))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op1 (e10) (e11)) = (e13)) -> ((op1 (e11) (e11)) = (e12)) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((op1 (e12) (e10)) = (e12)) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> ((op1 (e11) (e13)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> False).
% 51.35/51.54 do 0 intro. intros zenon_H33e zenon_H10b zenon_H3ad zenon_H14e zenon_H2e7 zenon_H15e zenon_H349 zenon_H3ac zenon_H8c zenon_H2d1 zenon_H7d zenon_H42 zenon_H35 zenon_H90 zenon_H46 zenon_H2c6 zenon_H1c zenon_H7c zenon_H2c zenon_H33a zenon_H2ce zenon_H49 zenon_H54 zenon_H66 zenon_H65 zenon_H72 zenon_H51 zenon_H305 zenon_Ha2 zenon_H2be zenon_H31e zenon_H9e zenon_H19.
% 51.35/51.54 apply (zenon_or_s _ _ zenon_H33e); [ zenon_intro zenon_H10a | zenon_intro zenon_H33f ].
% 51.35/51.54 apply (zenon_L75_); trivial.
% 51.35/51.54 apply (zenon_or_s _ _ zenon_H33f); [ zenon_intro zenon_H330 | zenon_intro zenon_H340 ].
% 51.35/51.54 apply (zenon_L580_); trivial.
% 51.35/51.54 apply (zenon_or_s _ _ zenon_H340); [ zenon_intro zenon_H335 | zenon_intro zenon_H33b ].
% 51.35/51.54 apply (zenon_L475_); trivial.
% 51.35/51.54 apply (zenon_L452_); trivial.
% 51.35/51.54 (* end of lemma zenon_L588_ *)
% 51.35/51.54 assert (zenon_L589_ : (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((op1 (e10) (e10)) = (e11)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((e11) = (e13))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((e11) = (e12))) -> (~((h4 (op1 (e12) (e11))) = (op2 (h4 (e12)) (h4 (e11))))) -> ((e21) = (op2 (e23) (e23))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((op2 (e22) (e21)) = (e21)) -> (~((e10) = (e11))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e10) = (e13))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op1 (e10) (e11)) = (e13)) -> ((op1 (e11) (e11)) = (e12)) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((op1 (e12) (e10)) = (e12)) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> False).
% 51.35/51.54 do 0 intro. intros zenon_Hf8 zenon_H327 zenon_Hcf zenon_Hd3 zenon_Hea zenon_He1 zenon_Hde zenon_Hda zenon_H45 zenon_H3b zenon_H105 zenon_H1b zenon_H2d4 zenon_Hc2 zenon_Hb8 zenon_Hc8 zenon_H2ff zenon_H2ba zenon_H2e1 zenon_Hb5 zenon_H4b zenon_Haf zenon_Hab zenon_H95 zenon_Hb0 zenon_H3d zenon_H33e zenon_H10b zenon_H3ad zenon_H14e zenon_H2e7 zenon_H15e zenon_H349 zenon_H3ac zenon_H8c zenon_H2d1 zenon_H7d zenon_H42 zenon_H35 zenon_H90 zenon_H46 zenon_H2c6 zenon_H1c zenon_H7c zenon_H2c zenon_H33a zenon_H2ce zenon_H49 zenon_H54 zenon_H66 zenon_H65 zenon_H72 zenon_H305 zenon_Ha2 zenon_H2be zenon_H31e zenon_H9e zenon_H19.
% 51.35/51.54 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H41 | zenon_intro zenon_Hf9 ].
% 51.35/51.54 apply (zenon_or_s _ _ zenon_H33e); [ zenon_intro zenon_H10a | zenon_intro zenon_H33f ].
% 51.35/51.54 apply (zenon_L75_); trivial.
% 51.35/51.54 apply (zenon_or_s _ _ zenon_H33f); [ zenon_intro zenon_H330 | zenon_intro zenon_H340 ].
% 51.35/51.54 apply (zenon_L580_); trivial.
% 51.35/51.54 apply (zenon_or_s _ _ zenon_H340); [ zenon_intro zenon_H335 | zenon_intro zenon_H33b ].
% 51.35/51.54 apply (zenon_L585_); trivial.
% 51.35/51.54 apply (zenon_L452_); trivial.
% 51.35/51.54 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H47 | zenon_intro zenon_Hfa ].
% 51.35/51.54 apply (zenon_L299_); trivial.
% 51.35/51.54 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H51 ].
% 51.35/51.54 apply (zenon_L587_); trivial.
% 51.35/51.54 apply (zenon_L588_); trivial.
% 51.35/51.54 (* end of lemma zenon_L589_ *)
% 51.35/51.54 assert (zenon_L590_ : (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((h4 (op1 (e12) (e11))) = (op2 (h4 (e12)) (h4 (e11))))) -> ((e21) = (op2 (e23) (e23))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((op2 (e22) (e21)) = (e21)) -> (~((e10) = (e11))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e10) (e11)) = (e13)) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e13)) -> ((op1 (e12) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e13))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e11) = (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> False).
% 51.35/51.54 do 0 intro. intros zenon_H33e zenon_H3ad zenon_H14e zenon_H2e7 zenon_H15e zenon_H349 zenon_H3ac zenon_H8c zenon_H1c zenon_Hc2 zenon_Hcf zenon_H2ce zenon_H46 zenon_H11a zenon_H65 zenon_H72 zenon_He1 zenon_H54 zenon_H51 zenon_He2 zenon_H7d zenon_H49 zenon_Hda zenon_H42 zenon_H35 zenon_H90 zenon_H3d zenon_Hb8 zenon_Hc8 zenon_H9e zenon_H19.
% 51.35/51.54 apply (zenon_or_s _ _ zenon_H33e); [ zenon_intro zenon_H10a | zenon_intro zenon_H33f ].
% 51.35/51.54 apply (zenon_L421_); trivial.
% 51.35/51.54 apply (zenon_or_s _ _ zenon_H33f); [ zenon_intro zenon_H330 | zenon_intro zenon_H340 ].
% 51.35/51.54 apply (zenon_L580_); trivial.
% 51.35/51.54 apply (zenon_or_s _ _ zenon_H340); [ zenon_intro zenon_H335 | zenon_intro zenon_H33b ].
% 51.35/51.54 apply (zenon_L558_); trivial.
% 51.35/51.54 apply (zenon_L452_); trivial.
% 51.35/51.54 (* end of lemma zenon_L590_ *)
% 51.35/51.54 assert (zenon_L591_ : ((e11) = (op1 (e13) (e13))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((op1 (e10) (e11)) = (e13)) -> ((op1 (e11) (e10)) = (e12)) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((op1 (e11) (e13)) = (e10)) -> (~((e10) = (e13))) -> False).
% 51.35/51.54 do 0 intro. intros zenon_H19 zenon_H3d zenon_Hcb zenon_Hc8 zenon_Hb8 zenon_Hc2 zenon_H1c zenon_H8c zenon_H2e1 zenon_H2ba zenon_H2c5 zenon_H11a zenon_H2c9 zenon_H54 zenon_H65 zenon_H72 zenon_H49 zenon_H90 zenon_Hda zenon_Hd3 zenon_Hde zenon_H45 zenon_H46 zenon_H34 zenon_Hf8 zenon_Hb0 zenon_Ha2 zenon_H9e zenon_H95 zenon_Hab zenon_H2c zenon_Haf zenon_H4b zenon_Hb5 zenon_H35 zenon_Hcf zenon_H50 zenon_H42.
% 51.35/51.54 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H41 | zenon_intro zenon_Hf9 ].
% 51.35/51.54 apply (zenon_L86_); trivial.
% 51.35/51.54 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H47 | zenon_intro zenon_Hfa ].
% 51.35/51.54 apply (zenon_L13_); trivial.
% 51.35/51.54 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H51 ].
% 51.35/51.54 apply (zenon_L505_); trivial.
% 51.35/51.54 apply (zenon_L17_); trivial.
% 51.35/51.54 (* end of lemma zenon_L591_ *)
% 51.35/51.54 assert (zenon_L592_ : (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((e10) = (e11))) -> ((e11) = (op1 (e13) (e13))) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((e10) = (e13))) -> ((op1 (e10) (e13)) = (e12)) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((op1 (e10) (e11)) = (e13)) -> ((op1 (e11) (e10)) = (e12)) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((e11) = (e13))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((op1 (e13) (e11)) = (e10)) -> (~((e10) = (e12))) -> False).
% 51.35/51.54 do 0 intro. intros zenon_H2e1 zenon_H2ba zenon_H2c5 zenon_H8c zenon_H19 zenon_H11a zenon_H2c9 zenon_H54 zenon_H66 zenon_H65 zenon_H72 zenon_H42 zenon_H49 zenon_H90 zenon_Hda zenon_Hd3 zenon_Hde zenon_H45 zenon_H46 zenon_H34 zenon_Hf8 zenon_H3d zenon_Hb0 zenon_Ha2 zenon_H9e zenon_H95 zenon_Hab zenon_H1c zenon_H2c zenon_Haf zenon_H4b zenon_Hb5 zenon_Hbe zenon_H35.
% 51.35/51.54 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H2bb | zenon_intro zenon_H2e4 ].
% 51.35/51.54 apply (zenon_L281_); trivial.
% 51.35/51.54 apply (zenon_or_s _ _ zenon_H2e4); [ zenon_intro zenon_H2c6 | zenon_intro zenon_H2e5 ].
% 51.35/51.54 apply (zenon_L284_); trivial.
% 51.35/51.54 apply (zenon_or_s _ _ zenon_H2e5); [ zenon_intro zenon_H2c8 | zenon_intro zenon_H2de ].
% 51.35/51.54 apply (zenon_L503_); trivial.
% 51.35/51.54 apply (zenon_L308_); trivial.
% 51.35/51.54 (* end of lemma zenon_L592_ *)
% 51.35/51.54 assert (zenon_L593_ : (~((e10) = (e12))) -> ((op1 (e13) (e11)) = (e10)) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((e11) = (e13))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((op1 (e11) (e10)) = (e12)) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e13))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e13) (e10)) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e10) (e12)) = (e11)) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> False).
% 51.35/51.54 do 0 intro. intros zenon_H35 zenon_Hbe zenon_Hb5 zenon_H4b zenon_Haf zenon_H95 zenon_H9e zenon_Ha2 zenon_Hb0 zenon_H3d zenon_Hf8 zenon_H34 zenon_H46 zenon_H45 zenon_Hde zenon_H90 zenon_H42 zenon_H72 zenon_H65 zenon_H66 zenon_H54 zenon_H2c9 zenon_H11a zenon_H19 zenon_H8c zenon_H2c5 zenon_H2ba zenon_H2e1 zenon_Hab zenon_Hd3 zenon_H2c zenon_H1c zenon_Hda.
% 51.35/51.54 apply (zenon_or_s _ _ zenon_Hde); [ zenon_intro zenon_H49 | zenon_intro zenon_Hdf ].
% 51.35/51.54 apply (zenon_L592_); trivial.
% 51.35/51.54 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_Haa | zenon_intro zenon_He0 ].
% 51.35/51.54 apply (zenon_L34_); trivial.
% 51.35/51.54 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hd2 | zenon_intro zenon_Hd9 ].
% 51.35/51.54 apply (zenon_L45_); trivial.
% 51.35/51.54 apply (zenon_L46_); trivial.
% 51.35/51.54 (* end of lemma zenon_L593_ *)
% 51.35/51.54 assert (zenon_L594_ : (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((e10) = (e13))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((op1 (e10) (e11)) = (e13)) -> ((op1 (e11) (e10)) = (e12)) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((e11) = (e13))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e12))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> False).
% 51.35/51.54 do 0 intro. intros zenon_Hc8 zenon_Hb8 zenon_Hda zenon_H2c zenon_Hd3 zenon_Hab zenon_H2e1 zenon_H2ba zenon_H2c5 zenon_H11a zenon_H2c9 zenon_H54 zenon_H66 zenon_H65 zenon_H72 zenon_H42 zenon_H90 zenon_Hde zenon_H45 zenon_H46 zenon_H34 zenon_Hf8 zenon_H3d zenon_Hb0 zenon_Ha2 zenon_H9e zenon_H95 zenon_Haf zenon_H4b zenon_Hb5 zenon_H35 zenon_Hc2 zenon_H1c zenon_H19 zenon_H8c.
% 51.35/51.54 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hc9 ].
% 51.35/51.54 apply (zenon_L39_); trivial.
% 51.35/51.54 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hca ].
% 51.35/51.54 apply (zenon_L593_); trivial.
% 51.35/51.54 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H8b ].
% 51.35/51.54 apply (zenon_L41_); trivial.
% 51.35/51.54 apply (zenon_L24_); trivial.
% 51.35/51.54 (* end of lemma zenon_L594_ *)
% 51.35/51.54 assert (zenon_L595_ : (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((e11) = (e12))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (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 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((e11) = (e13))) -> (~((e12) = (e13))) -> (~((h4 (op1 (e12) (e11))) = (op2 (h4 (e12)) (h4 (e11))))) -> ((e21) = (op2 (e23) (e23))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((op2 (e22) (e21)) = (e21)) -> (~((e10) = (e11))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e10) (e11)) = (e13)) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> ((op1 (e11) (e13)) = (e13)) -> (~((e10) = (e13))) -> ((op1 (e10) (e13)) = (e12)) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> False).
% 51.35/51.54 do 0 intro. intros zenon_H33e zenon_Hda zenon_H1c zenon_H2c zenon_Hd3 zenon_Hab zenon_Hfe zenon_H2b zenon_H2c9 zenon_Haf zenon_Ha2 zenon_Hde zenon_H2c5 zenon_H2ba zenon_H2e1 zenon_H10b zenon_Hff zenon_H23 zenon_Hc2 zenon_Hcf zenon_H10e zenon_He1 zenon_Hb8 zenon_Hc8 zenon_Hf3 zenon_Hec zenon_Hf0 zenon_Hcb zenon_H45 zenon_Hb0 zenon_Hea zenon_H95 zenon_Hb5 zenon_Hf8 zenon_H3d zenon_H4b zenon_H3ad zenon_H14e zenon_H2e7 zenon_H15e zenon_H349 zenon_H3ac zenon_H8c zenon_H2ce zenon_H46 zenon_H11a zenon_H54 zenon_H66 zenon_H65 zenon_H72 zenon_H51 zenon_H42 zenon_H49 zenon_H35 zenon_H90 zenon_H9e zenon_H19.
% 51.35/51.54 apply (zenon_or_s _ _ zenon_H33e); [ zenon_intro zenon_H10a | zenon_intro zenon_H33f ].
% 51.35/51.54 apply (zenon_L512_); trivial.
% 51.35/51.54 apply (zenon_or_s _ _ zenon_H33f); [ zenon_intro zenon_H330 | zenon_intro zenon_H340 ].
% 51.35/51.54 apply (zenon_L580_); trivial.
% 51.35/51.54 apply (zenon_or_s _ _ zenon_H340); [ zenon_intro zenon_H335 | zenon_intro zenon_H33b ].
% 51.35/51.54 apply (zenon_L556_); trivial.
% 51.35/51.54 apply (zenon_L452_); trivial.
% 51.35/51.54 (* end of lemma zenon_L595_ *)
% 51.35/51.54 assert (zenon_L596_ : (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e13) (e10)) = (e13)) -> ((op1 (e10) (e12)) = (e11)) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op2 (e22) (e21)) = (e21)) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((e21) = (op2 (e23) (e23))) -> (~((h4 (op1 (e12) (e11))) = (op2 (h4 (e12)) (h4 (e11))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e10) (e10)) = (e10)) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e11) = (e12))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((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 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e13))) -> (~((e12) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (~((e10) = (e12))) -> ((op1 (e13) (e11)) = (e10)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((e11) = (e13))) -> ((e11) = (op1 (e13) (e13))) -> False).
% 51.35/51.54 do 0 intro. intros zenon_H90 zenon_H49 zenon_H72 zenon_H65 zenon_H66 zenon_H11a zenon_H46 zenon_H2ce zenon_H3ac zenon_H349 zenon_H15e zenon_H2e7 zenon_H14e zenon_H3ad zenon_Hf8 zenon_Hb5 zenon_H45 zenon_Hcb zenon_Hf0 zenon_Hec zenon_Hf3 zenon_H10e zenon_H23 zenon_Hff zenon_H10b zenon_H2e1 zenon_H2ba zenon_H2c5 zenon_Ha2 zenon_H2c9 zenon_H2b zenon_Hfe zenon_H33e zenon_Haf zenon_H2c zenon_H1c zenon_Hab zenon_H54 zenon_H327 zenon_Hb0 zenon_Hc8 zenon_Hb8 zenon_H42 zenon_H4b zenon_Hcf zenon_Hc2 zenon_H8c zenon_H35 zenon_Hbe zenon_Hd3 zenon_H95 zenon_H41 zenon_Hea zenon_H9e zenon_He1 zenon_Hde zenon_Hda zenon_H3d zenon_H19.
% 51.35/51.54 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H4a | zenon_intro zenon_Hb6 ].
% 51.35/51.54 apply (zenon_L15_); trivial.
% 51.35/51.54 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H51 | zenon_intro zenon_Hb7 ].
% 51.35/51.54 apply (zenon_L595_); trivial.
% 51.35/51.54 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb3 ].
% 51.35/51.54 apply (zenon_L437_); trivial.
% 51.35/51.54 apply (zenon_L37_); trivial.
% 51.35/51.54 (* end of lemma zenon_L596_ *)
% 51.35/51.54 assert (zenon_L597_ : (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e10) (e11)) = (e13)) -> ((op1 (e10) (e12)) = (e11)) -> ((op1 (e11) (e12)) = (e13)) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> ((op1 (e11) (e11)) = (e11)) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((e11) = (e12))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op1 (e12) (e10)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> ((op1 (e13) (e11)) = (e10)) -> ((op1 (e11) (e10)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e11))) -> ((op1 (e12) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e10) = (e13))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e12) (e13)) = (e10)) -> (~((e11) = (e13))) -> ((e11) = (op1 (e13) (e13))) -> False).
% 51.35/51.54 do 0 intro. intros zenon_H2ce zenon_H46 zenon_H11a zenon_Ha3 zenon_H327 zenon_Hf0 zenon_Hec zenon_Hf3 zenon_H30b zenon_H2c9 zenon_H10b zenon_H33e zenon_Hc2 zenon_Hcf zenon_Hb8 zenon_Hc8 zenon_H7c zenon_H2ff zenon_H2ba zenon_H2e1 zenon_Hb0 zenon_Ha2 zenon_H65 zenon_H95 zenon_H131 zenon_Hbe zenon_H108 zenon_H128 zenon_Hda zenon_H49 zenon_H9e zenon_H12c zenon_He1 zenon_Hcb zenon_Hde zenon_H8c zenon_He2 zenon_H7d zenon_H42 zenon_H35 zenon_H90 zenon_Hd3 zenon_H4b zenon_Hb5 zenon_H2db zenon_H23 zenon_H24 zenon_H324 zenon_H54 zenon_Hab zenon_H1c zenon_H2c zenon_Haf zenon_H62 zenon_H3d zenon_H19.
% 51.35/51.54 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H66 | zenon_intro zenon_Hd0 ].
% 51.35/51.54 apply (zenon_L461_); trivial.
% 51.35/51.54 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hd1 ].
% 51.35/51.54 apply (zenon_L42_); trivial.
% 51.35/51.54 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hb3 ].
% 51.35/51.54 apply (zenon_L394_); trivial.
% 51.35/51.54 apply (zenon_L37_); trivial.
% 51.35/51.54 (* end of lemma zenon_L597_ *)
% 51.35/51.54 assert (zenon_L598_ : (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((e11) = (e12))) -> ((op1 (e12) (e10)) = (e12)) -> (~((h4 (op1 (e12) (e11))) = (op2 (h4 (e12)) (h4 (e11))))) -> ((e21) = (op2 (e23) (e23))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((op2 (e22) (e21)) = (e21)) -> (~((e11) = (e13))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e12))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e12) (e10)) = (e13)) -> ((op1 (e11) (e13)) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> ((op1 (e13) (e11)) = (e10)) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e12)) = (e11)) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> False).
% 51.35/51.54 do 0 intro. intros zenon_H33e zenon_H10b zenon_H7c zenon_H3ad zenon_H14e zenon_H2e7 zenon_H15e zenon_H349 zenon_H3ac zenon_H3d zenon_H90 zenon_H35 zenon_H42 zenon_Hda zenon_H49 zenon_H7d zenon_He2 zenon_H51 zenon_H54 zenon_He1 zenon_H8c zenon_Hbe zenon_H72 zenon_H65 zenon_H11a zenon_H46 zenon_H2ce zenon_Hcf zenon_H9e zenon_H19.
% 51.35/51.54 apply (zenon_or_s _ _ zenon_H33e); [ zenon_intro zenon_H10a | zenon_intro zenon_H33f ].
% 51.35/51.54 apply (zenon_L75_); trivial.
% 51.35/51.54 apply (zenon_or_s _ _ zenon_H33f); [ zenon_intro zenon_H330 | zenon_intro zenon_H340 ].
% 51.35/51.54 apply (zenon_L580_); trivial.
% 51.35/51.54 apply (zenon_or_s _ _ zenon_H340); [ zenon_intro zenon_H335 | zenon_intro zenon_H33b ].
% 51.35/51.54 apply (zenon_L557_); trivial.
% 51.35/51.54 apply (zenon_L452_); trivial.
% 51.35/51.54 (* end of lemma zenon_L598_ *)
% 51.35/51.54 assert (zenon_L599_ : (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e10) (e11)) = (e13)) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> ((op1 (e13) (e11)) = (e10)) -> (~((e10) = (e11))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e12) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e13))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e11) = (e13))) -> ((op1 (e12) (e10)) = (e12)) -> (~((e11) = (e12))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (e10)) = (e11)) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((h4 (op1 (e12) (e11))) = (op2 (h4 (e12)) (h4 (e11))))) -> ((e21) = (op2 (e23) (e23))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((op2 (e22) (e21)) = (e21)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> False).
% 51.35/51.54 do 0 intro. intros zenon_H3b9 zenon_Hfb zenon_H117 zenon_H105 zenon_Hfe zenon_H2b zenon_Hf6 zenon_H113 zenon_H2e0 zenon_H10e zenon_Hff zenon_H9e zenon_Hcf zenon_H2ce zenon_H46 zenon_H11a zenon_H65 zenon_H72 zenon_Hbe zenon_H8c zenon_He1 zenon_H54 zenon_He2 zenon_H7d zenon_H49 zenon_Hda zenon_H42 zenon_H35 zenon_H90 zenon_H3d zenon_H7c zenon_H10b zenon_H33e zenon_Haf zenon_H2c zenon_H1c zenon_Hab zenon_H324 zenon_H24 zenon_H23 zenon_H2db zenon_Hb5 zenon_H4b zenon_Hd3 zenon_Hde zenon_Hcb zenon_H12c zenon_H128 zenon_H108 zenon_H131 zenon_H95 zenon_Ha2 zenon_Hb0 zenon_H2e1 zenon_H2ba zenon_H2ff zenon_Hc8 zenon_Hb8 zenon_Hc2 zenon_H2c9 zenon_Hf3 zenon_Hec zenon_Hf0 zenon_H327 zenon_H45 zenon_Hf8 zenon_H3ad zenon_H14e zenon_H2e7 zenon_H15e zenon_H349 zenon_H3ac zenon_H3b3 zenon_H19.
% 51.35/51.54 apply (zenon_or_s _ _ zenon_H3b9); [ zenon_intro zenon_H104 | zenon_intro zenon_H3ba ].
% 51.35/51.54 apply (zenon_L406_); trivial.
% 51.35/51.54 apply (zenon_or_s _ _ zenon_H3ba); [ zenon_intro zenon_H30b | zenon_intro zenon_H3bb ].
% 51.35/51.54 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H41 | zenon_intro zenon_Hf9 ].
% 51.35/51.54 apply (zenon_L328_); trivial.
% 51.35/51.54 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H47 | zenon_intro zenon_Hfa ].
% 51.35/51.54 apply (zenon_L13_); trivial.
% 51.35/51.54 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H51 ].
% 51.35/51.54 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H4e | zenon_intro zenon_H91 ].
% 51.35/51.54 apply (zenon_L47_); trivial.
% 51.35/51.54 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H50 | zenon_intro zenon_H92 ].
% 51.35/51.54 apply (zenon_L288_); trivial.
% 51.35/51.54 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H62 | zenon_intro zenon_H8b ].
% 51.35/51.54 apply (zenon_L597_); trivial.
% 51.35/51.54 apply (zenon_L24_); trivial.
% 51.35/51.54 apply (zenon_L598_); trivial.
% 51.35/51.54 apply (zenon_or_s _ _ zenon_H3bb); [ zenon_intro zenon_H330 | zenon_intro zenon_H3b4 ].
% 51.35/51.54 apply (zenon_L580_); trivial.
% 51.35/51.54 apply (zenon_L584_); trivial.
% 51.35/51.54 (* end of lemma zenon_L599_ *)
% 51.35/51.54 assert (zenon_L600_ : (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op2 (e22) (e21)) = (e21)) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((e21) = (op2 (e23) (e23))) -> (~((h4 (op1 (e12) (e11))) = (op2 (h4 (e12)) (h4 (e11))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> ((op1 (e11) (e10)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((e11) = (e12))) -> ((op1 (e12) (e10)) = (e12)) -> (~((e11) = (e13))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e12))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e12) (e10)) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e12)) = (e11)) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((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) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> False).
% 51.35/51.54 do 0 intro. intros zenon_H3b3 zenon_H3ac zenon_H349 zenon_H15e zenon_H2e7 zenon_H14e zenon_H3ad zenon_Hf8 zenon_H45 zenon_H327 zenon_Hf0 zenon_Hec zenon_Hf3 zenon_H2c9 zenon_Hb8 zenon_Hc8 zenon_H2ff zenon_H2ba zenon_H2e1 zenon_Hb0 zenon_Ha2 zenon_H95 zenon_H131 zenon_H108 zenon_H128 zenon_H12c zenon_Hcb zenon_Hde zenon_Hd3 zenon_H4b zenon_Hb5 zenon_H2db zenon_H23 zenon_H24 zenon_H324 zenon_Hab zenon_H2c zenon_Haf zenon_H33e zenon_H10b zenon_H7c zenon_H3d zenon_H90 zenon_H35 zenon_H42 zenon_Hda zenon_H49 zenon_H7d zenon_He2 zenon_H54 zenon_He1 zenon_H72 zenon_H65 zenon_H11a zenon_H46 zenon_H2ce zenon_Hcf zenon_H9e zenon_Hff zenon_H10e zenon_H2e0 zenon_H113 zenon_Hf6 zenon_H2b zenon_Hfe zenon_H105 zenon_H117 zenon_Hfb zenon_H3b9 zenon_Hc2 zenon_H1c zenon_H19 zenon_H8c.
% 51.35/51.54 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hc9 ].
% 51.35/51.54 apply (zenon_L39_); trivial.
% 51.35/51.54 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hca ].
% 51.35/51.54 apply (zenon_L599_); trivial.
% 51.35/51.54 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H8b ].
% 51.35/51.54 apply (zenon_L41_); trivial.
% 51.35/51.54 apply (zenon_L24_); trivial.
% 51.35/51.54 (* end of lemma zenon_L600_ *)
% 51.35/51.54 assert (zenon_L601_ : (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((e11) = (e12))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((h4 (op1 (e12) (e11))) = (op2 (h4 (e12)) (h4 (e11))))) -> ((e21) = (op2 (e23) (e23))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((op2 (e22) (e21)) = (e21)) -> (~((e11) = (e13))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> ((op1 (e11) (e12)) = (e13)) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e13) (e10)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e12))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((e10) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op1 (e10) (e12)) = (e11)) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> False).
% 51.35/51.54 do 0 intro. intros zenon_H33e zenon_Hfe zenon_H2b zenon_H2c9 zenon_H72 zenon_H2c5 zenon_H2ba zenon_H2e1 zenon_H10b zenon_Hff zenon_H23 zenon_H10e zenon_He1 zenon_Hf3 zenon_Hec zenon_Hf0 zenon_H45 zenon_Hea zenon_Hf8 zenon_H3ad zenon_H14e zenon_H2e7 zenon_H15e zenon_H349 zenon_H3ac zenon_H3d zenon_Hb0 zenon_Ha3 zenon_Ha2 zenon_H65 zenon_H66 zenon_H95 zenon_H49 zenon_H54 zenon_Hab zenon_H1c zenon_H2c zenon_Haf zenon_H90 zenon_H35 zenon_Hc2 zenon_Hde zenon_Hcb zenon_H42 zenon_Hb5 zenon_H4b zenon_Hcf zenon_Hd3 zenon_Hda zenon_Hb8 zenon_Hc8 zenon_H11a zenon_H46 zenon_H2ce zenon_H8c zenon_H9e zenon_H19.
% 51.35/51.54 apply (zenon_or_s _ _ zenon_H33e); [ zenon_intro zenon_H10a | zenon_intro zenon_H33f ].
% 51.35/51.54 apply (zenon_L512_); trivial.
% 51.35/51.54 apply (zenon_or_s _ _ zenon_H33f); [ zenon_intro zenon_H330 | zenon_intro zenon_H340 ].
% 51.35/51.54 apply (zenon_L580_); trivial.
% 51.35/51.54 apply (zenon_or_s _ _ zenon_H340); [ zenon_intro zenon_H335 | zenon_intro zenon_H33b ].
% 51.35/51.54 apply (zenon_L460_); trivial.
% 51.35/51.54 apply (zenon_L452_); trivial.
% 51.35/51.54 (* end of lemma zenon_L601_ *)
% 51.35/51.54 assert (zenon_L602_ : (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((op1 (e13) (e10)) = (e12)) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((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))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> ((op1 (e11) (e10)) = (e11)) -> ((op1 (e10) (e10)) = (e10)) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((e11) = (e13))) -> ((op1 (e10) (e12)) = (e11)) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> False).
% 51.35/51.54 do 0 intro. intros zenon_Hff zenon_He8 zenon_Hf8 zenon_Hb0 zenon_Hea zenon_H9e zenon_Hb5 zenon_H45 zenon_Hcb zenon_Hf0 zenon_Hec zenon_Hf3 zenon_Hc8 zenon_Hb8 zenon_He1 zenon_H54 zenon_H7d zenon_H42 zenon_Hcf zenon_H35 zenon_H90 zenon_Hc2 zenon_H19 zenon_H8c zenon_H108 zenon_H23 zenon_Hfb zenon_H3d zenon_H11a zenon_Hde zenon_H4b zenon_Hab zenon_Hd3 zenon_H2c zenon_H1c zenon_Hda.
% 51.35/51.54 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H3c | zenon_intro zenon_H102 ].
% 51.35/51.54 apply (zenon_L317_); trivial.
% 51.35/51.54 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_H46 | zenon_intro zenon_H103 ].
% 51.35/51.54 apply (zenon_L407_); trivial.
% 51.35/51.54 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_He6 | zenon_intro zenon_H4a ].
% 51.35/51.54 apply (zenon_L427_); trivial.
% 51.35/51.54 apply (zenon_L335_); trivial.
% 51.35/51.54 (* end of lemma zenon_L602_ *)
% 51.35/51.54 assert (zenon_L603_ : (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((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 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((h4 (op1 (e12) (e11))) = (op2 (h4 (e12)) (h4 (e11))))) -> ((e21) = (op2 (e23) (e23))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((op2 (e22) (e21)) = (e21)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((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))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> ((op1 (e11) (e10)) = (e11)) -> ((op1 (e10) (e10)) = (e10)) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((e11) = (e13))) -> ((op1 (e10) (e12)) = (e11)) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> False).
% 51.35/51.54 do 0 intro. intros zenon_H32a zenon_H2be zenon_H3b9 zenon_H117 zenon_H105 zenon_Hf6 zenon_H113 zenon_H2e0 zenon_H324 zenon_H24 zenon_H2db zenon_H12c zenon_H128 zenon_H131 zenon_H2ff zenon_H327 zenon_H3b3 zenon_H33e zenon_Hfe zenon_H2b zenon_H2c9 zenon_Haf zenon_Ha2 zenon_H2c5 zenon_H2ba zenon_H2e1 zenon_H10b zenon_H10e zenon_H95 zenon_H3ad zenon_H14e zenon_H2e7 zenon_H15e zenon_H349 zenon_H3ac zenon_H2ce zenon_H65 zenon_H72 zenon_Hff zenon_Hf8 zenon_Hb0 zenon_Hea zenon_H9e zenon_Hb5 zenon_H45 zenon_Hcb zenon_Hf0 zenon_Hec zenon_Hf3 zenon_Hc8 zenon_Hb8 zenon_He1 zenon_H54 zenon_H7d zenon_H42 zenon_Hcf zenon_H35 zenon_H90 zenon_Hc2 zenon_H19 zenon_H8c zenon_H108 zenon_H23 zenon_Hfb zenon_H3d zenon_H11a zenon_Hde zenon_H4b zenon_Hab zenon_Hd3 zenon_H2c zenon_H1c zenon_Hda.
% 51.35/51.54 apply (zenon_or_s _ _ zenon_H32a); [ zenon_intro zenon_H2d | zenon_intro zenon_H32b ].
% 51.35/51.54 apply (zenon_L7_); trivial.
% 51.35/51.54 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H2bb | zenon_intro zenon_H32c ].
% 51.35/51.54 apply (zenon_L281_); trivial.
% 51.35/51.54 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H2bf | zenon_intro zenon_H49 ].
% 51.35/51.54 apply (zenon_L282_); trivial.
% 51.35/51.54 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ].
% 51.35/51.54 apply (zenon_L7_); trivial.
% 51.35/51.54 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_H34 | zenon_intro zenon_H101 ].
% 51.35/51.54 apply (zenon_L99_); trivial.
% 51.35/51.54 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_H7c | zenon_intro zenon_He8 ].
% 51.35/51.54 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H3c | zenon_intro zenon_H102 ].
% 51.35/51.54 apply (zenon_L317_); trivial.
% 51.35/51.54 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_H46 | zenon_intro zenon_H103 ].
% 51.35/51.54 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hfc ].
% 51.35/51.54 apply (zenon_L317_); trivial.
% 51.35/51.54 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H41 | zenon_intro zenon_Hfd ].
% 51.35/51.54 apply (zenon_L328_); trivial.
% 51.35/51.54 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_He2 | zenon_intro zenon_H66 ].
% 51.35/51.54 apply (zenon_L600_); trivial.
% 51.35/51.54 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H41 | zenon_intro zenon_Hf9 ].
% 51.35/51.54 apply (zenon_L328_); trivial.
% 51.35/51.54 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H47 | zenon_intro zenon_Hfa ].
% 51.35/51.54 apply (zenon_L13_); trivial.
% 51.35/51.54 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H51 ].
% 51.35/51.54 apply (zenon_L601_); trivial.
% 51.35/51.54 apply (zenon_L595_); trivial.
% 51.35/51.54 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_He6 | zenon_intro zenon_H4a ].
% 51.35/51.54 apply (zenon_L427_); trivial.
% 51.35/51.54 apply (zenon_L15_); trivial.
% 51.35/51.54 apply (zenon_L602_); trivial.
% 51.35/51.54 (* end of lemma zenon_L603_ *)
% 51.35/51.54 assert (zenon_L604_ : (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((op1 (e10) (e12)) = (e11)) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> ((op1 (e10) (e10)) = (e10)) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op2 (e22) (e21)) = (e21)) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((e21) = (op2 (e23) (e23))) -> (~((h4 (op1 (e12) (e11))) = (op2 (h4 (e12)) (h4 (e11))))) -> (~((e11) = (e12))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((e11) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e10) = (e13))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e10)) = (e12)) -> (~((e12) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((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)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((e10) = (e11))) -> ((op1 (e11) (e12)) = (e10)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> False).
% 51.40/51.55 do 0 intro. intros zenon_H318 zenon_H11a zenon_Hfb zenon_H23 zenon_Hff zenon_H72 zenon_H65 zenon_H2ce zenon_H3ac zenon_H349 zenon_H15e zenon_H2e7 zenon_H14e zenon_H3ad zenon_H10b zenon_H2e1 zenon_H2c5 zenon_Ha2 zenon_H2c9 zenon_H2b zenon_Hfe zenon_H33e zenon_H3b3 zenon_H327 zenon_H131 zenon_H128 zenon_H12c zenon_H2db zenon_H24 zenon_H324 zenon_H2e0 zenon_H113 zenon_Hf6 zenon_H105 zenon_H117 zenon_H3b9 zenon_H2be zenon_H32a zenon_Hd3 zenon_H1c zenon_H2c zenon_H3d zenon_H7d zenon_H42 zenon_H35 zenon_H90 zenon_H305 zenon_Hc8 zenon_Hb8 zenon_He8 zenon_H4b zenon_Hcf zenon_H95 zenon_H10e zenon_Hb5 zenon_Hde zenon_H123 zenon_H311 zenon_Haf zenon_Hab zenon_He1 zenon_H41 zenon_Hea zenon_H9e zenon_H49 zenon_Hda zenon_Hb0 zenon_Hc2 zenon_Hf3 zenon_Hec zenon_Hf0 zenon_Hcb zenon_H45 zenon_Hf8 zenon_H2ff zenon_H2ba zenon_H1b zenon_H2d4 zenon_H30d zenon_H314 zenon_H8c zenon_H126 zenon_H54 zenon_H19.
% 51.40/51.55 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H108 | zenon_intro zenon_H319 ].
% 51.40/51.55 apply (zenon_L603_); trivial.
% 51.40/51.55 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H30b | zenon_intro zenon_H31a ].
% 51.40/51.55 apply (zenon_L358_); trivial.
% 51.40/51.55 apply (zenon_or_s _ _ zenon_H31a); [ zenon_intro zenon_H129 | zenon_intro zenon_Ha5 ].
% 51.40/51.55 apply (zenon_L359_); trivial.
% 51.40/51.55 apply (zenon_L33_); trivial.
% 51.40/51.55 (* end of lemma zenon_L604_ *)
% 51.40/51.55 assert (zenon_L605_ : ((op1 (e10) (e11)) = (e13)) -> ((op1 (e13) (e11)) = (e10)) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> ((op1 (e11) (e12)) = (e10)) -> (~((e10) = (e11))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e12))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((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 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((e11) = (e12))) -> (~((h4 (op1 (e12) (e11))) = (op2 (h4 (e12)) (h4 (e11))))) -> ((e21) = (op2 (e23) (e23))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((op2 (e22) (e21)) = (e21)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((op1 (e10) (e10)) = (e10)) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> ((op1 (e10) (e12)) = (e11)) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e12) (e13)) = (e10)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> ((e11) = (op1 (e13) (e13))) -> False).
% 51.40/51.55 do 0 intro. intros zenon_H46 zenon_Hbe zenon_Hb0 zenon_Hda zenon_H49 zenon_H9e zenon_Hea zenon_H41 zenon_He1 zenon_H54 zenon_Hab zenon_H1c zenon_H2c zenon_Haf zenon_H31b zenon_H126 zenon_H8c zenon_H314 zenon_H30d zenon_H2d4 zenon_H1b zenon_H2ba zenon_H2ff zenon_Hf8 zenon_H45 zenon_Hcb zenon_Hf0 zenon_Hec zenon_Hf3 zenon_Hc2 zenon_H311 zenon_H123 zenon_Hb5 zenon_H10e zenon_H95 zenon_Hcf zenon_H4b zenon_Hb8 zenon_Hc8 zenon_H305 zenon_H90 zenon_H35 zenon_H42 zenon_H7d zenon_H32a zenon_H2be zenon_H3b9 zenon_H117 zenon_H105 zenon_Hf6 zenon_H113 zenon_H2e0 zenon_H324 zenon_H24 zenon_H2db zenon_H12c zenon_H128 zenon_H131 zenon_H327 zenon_H3b3 zenon_H33e zenon_Hfe zenon_H2b zenon_H2c9 zenon_Ha2 zenon_H2c5 zenon_H2e1 zenon_H10b zenon_H3ad zenon_H14e zenon_H2e7 zenon_H15e zenon_H349 zenon_H3ac zenon_H2ce zenon_H72 zenon_Hff zenon_H23 zenon_Hfb zenon_H11a zenon_H318 zenon_Hde zenon_H65 zenon_H62 zenon_Hd3 zenon_H3d zenon_H19.
% 51.40/51.55 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H66 | zenon_intro zenon_Hd0 ].
% 51.40/51.55 apply (zenon_L596_); trivial.
% 51.40/51.55 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hd1 ].
% 51.40/51.55 apply (zenon_L40_); trivial.
% 51.40/51.55 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hb3 ].
% 51.40/51.55 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H4a | zenon_intro zenon_Hb6 ].
% 51.40/51.55 apply (zenon_L335_); trivial.
% 51.40/51.55 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H51 | zenon_intro zenon_Hb7 ].
% 51.40/51.55 apply (zenon_or_s _ _ zenon_H31b); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H31c ].
% 51.40/51.55 apply (zenon_L39_); trivial.
% 51.40/51.55 apply (zenon_or_s _ _ zenon_H31c); [ zenon_intro zenon_H114 | zenon_intro zenon_H31d ].
% 51.40/51.55 apply (zenon_L82_); trivial.
% 51.40/51.55 apply (zenon_or_s _ _ zenon_H31d); [ zenon_intro zenon_He8 | zenon_intro zenon_H66 ].
% 51.40/51.55 apply (zenon_L604_); trivial.
% 51.40/51.55 apply (zenon_L363_); trivial.
% 51.40/51.55 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb3 ].
% 51.40/51.55 apply (zenon_L355_); trivial.
% 51.40/51.55 apply (zenon_L37_); trivial.
% 51.40/51.55 apply (zenon_L37_); trivial.
% 51.40/51.55 (* end of lemma zenon_L605_ *)
% 51.40/51.55 assert (zenon_L606_ : ((op1 (e13) (e12)) = (e12)) -> (~((e11) = (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((op1 (e10) (e12)) = (e11)) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> ((op1 (e10) (e10)) = (e10)) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op2 (e22) (e21)) = (e21)) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((e21) = (op2 (e23) (e23))) -> (~((h4 (op1 (e12) (e11))) = (op2 (h4 (e12)) (h4 (e11))))) -> (~((e11) = (e12))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e10) = (e13))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e12) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((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)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((op1 (e11) (e12)) = (e10)) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> ((op1 (e13) (e11)) = (e10)) -> ((op1 (e10) (e11)) = (e13)) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> False).
% 51.40/51.55 do 0 intro. intros zenon_Hf1 zenon_H3d zenon_Hd3 zenon_H65 zenon_Hde zenon_H318 zenon_H11a zenon_Hfb zenon_H23 zenon_Hff zenon_H72 zenon_H2ce zenon_H3ac zenon_H349 zenon_H15e zenon_H2e7 zenon_H14e zenon_H3ad zenon_H10b zenon_H2e1 zenon_H2c5 zenon_Ha2 zenon_H2c9 zenon_H2b zenon_Hfe zenon_H33e zenon_H3b3 zenon_H327 zenon_H131 zenon_H128 zenon_H12c zenon_H2db zenon_H24 zenon_H324 zenon_H2e0 zenon_H113 zenon_Hf6 zenon_H105 zenon_H117 zenon_H3b9 zenon_H2be zenon_H32a zenon_H7d zenon_H42 zenon_H35 zenon_H90 zenon_H305 zenon_Hc8 zenon_Hb8 zenon_H4b zenon_Hcf zenon_H95 zenon_H10e zenon_Hb5 zenon_H123 zenon_H311 zenon_Hc2 zenon_Hf3 zenon_Hec zenon_Hf0 zenon_Hcb zenon_H45 zenon_Hf8 zenon_H2ff zenon_H2ba zenon_H1b zenon_H2d4 zenon_H30d zenon_H314 zenon_H126 zenon_H31b zenon_Haf zenon_H2c zenon_H1c zenon_Hab zenon_H54 zenon_He1 zenon_H41 zenon_Hea zenon_H9e zenon_H49 zenon_Hda zenon_Hb0 zenon_Hbe zenon_H46 zenon_H19 zenon_H8c.
% 51.40/51.55 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H4e | zenon_intro zenon_H91 ].
% 51.40/51.55 apply (zenon_L47_); trivial.
% 51.40/51.55 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H50 | zenon_intro zenon_H92 ].
% 51.40/51.55 apply (zenon_L338_); trivial.
% 51.40/51.55 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H62 | zenon_intro zenon_H8b ].
% 51.40/51.55 apply (zenon_L605_); trivial.
% 51.40/51.55 apply (zenon_L24_); trivial.
% 51.40/51.55 (* end of lemma zenon_L606_ *)
% 51.40/51.55 assert (zenon_L607_ : (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (e13) (e11)) = (e10)) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((e11) = (e12))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((h4 (op1 (e12) (e11))) = (op2 (h4 (e12)) (h4 (e11))))) -> ((e21) = (op2 (e23) (e23))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((op2 (e22) (e21)) = (e21)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e10) (e11)) = (e13)) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e11))) -> ((op1 (e12) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e10) = (e13))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e11) = (e13))) -> ((e11) = (op1 (e13) (e13))) -> False).
% 51.40/51.55 do 0 intro. intros zenon_H95 zenon_Hbe zenon_Hcf zenon_H327 zenon_H33e zenon_Hfe zenon_H2b zenon_H2c9 zenon_Ha2 zenon_H2c5 zenon_H2ba zenon_H2e1 zenon_H10b zenon_Hff zenon_H23 zenon_H10e zenon_Hf3 zenon_Hec zenon_Hf0 zenon_Hcb zenon_H45 zenon_Hf8 zenon_H3ad zenon_H14e zenon_H2e7 zenon_H15e zenon_H349 zenon_H3ac zenon_H2ce zenon_H46 zenon_H11a zenon_H65 zenon_H72 zenon_Hc2 zenon_Hb8 zenon_Hc8 zenon_Hb0 zenon_Hda zenon_H49 zenon_H9e zenon_Hea zenon_H41 zenon_He1 zenon_H54 zenon_Hab zenon_H1c zenon_H2c zenon_Haf zenon_Hde zenon_H8c zenon_He2 zenon_H7d zenon_H42 zenon_H35 zenon_H90 zenon_Hd3 zenon_H4b zenon_Hb5 zenon_H3d zenon_H19.
% 51.40/51.55 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H66 | zenon_intro zenon_Hd0 ].
% 51.40/51.55 apply (zenon_L596_); trivial.
% 51.40/51.55 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hd1 ].
% 51.40/51.55 apply (zenon_L42_); trivial.
% 51.40/51.55 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hb3 ].
% 51.40/51.55 apply (zenon_L373_); trivial.
% 51.40/51.55 apply (zenon_L37_); trivial.
% 51.40/51.55 (* end of lemma zenon_L607_ *)
% 51.40/51.55 assert (zenon_L608_ : (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e10) (e10)) = (e10)) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> ((op1 (e11) (e11)) = (e11)) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((e11) = (e12))) -> ((op1 (e12) (e10)) = (e12)) -> (~((h4 (op1 (e12) (e11))) = (op2 (h4 (e12)) (h4 (e11))))) -> ((e21) = (op2 (e23) (e23))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((op2 (e22) (e21)) = (e21)) -> (~((e11) = (e13))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e12))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e12) (e10)) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> ((op1 (e13) (e11)) = (e10)) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e12)) = (e11)) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> False).
% 51.40/51.55 do 0 intro. intros zenon_Hea zenon_Hf8 zenon_H10e zenon_H23 zenon_Hff zenon_H2e1 zenon_H2ba zenon_H2c5 zenon_H2b zenon_Hfe zenon_H45 zenon_Hc8 zenon_Hb8 zenon_Hd3 zenon_H4b zenon_Hb5 zenon_Hde zenon_Hc2 zenon_Haf zenon_H2c zenon_H1c zenon_Hab zenon_H95 zenon_Ha2 zenon_Hb0 zenon_H327 zenon_Hf0 zenon_Hec zenon_Hf3 zenon_H30b zenon_H2c9 zenon_Hcb zenon_H33e zenon_H10b zenon_H7c zenon_H3ad zenon_H14e zenon_H2e7 zenon_H15e zenon_H349 zenon_H3ac zenon_H3d zenon_H90 zenon_H35 zenon_H42 zenon_Hda zenon_H49 zenon_H7d zenon_He2 zenon_H54 zenon_He1 zenon_H8c zenon_Hbe zenon_H72 zenon_H65 zenon_H11a zenon_H46 zenon_H2ce zenon_Hcf zenon_H9e zenon_H19.
% 51.40/51.55 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H41 | zenon_intro zenon_Hf9 ].
% 51.40/51.55 apply (zenon_L607_); trivial.
% 51.40/51.55 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H47 | zenon_intro zenon_Hfa ].
% 51.40/51.55 apply (zenon_L13_); trivial.
% 51.40/51.55 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H51 ].
% 51.40/51.55 apply (zenon_L463_); trivial.
% 51.40/51.55 apply (zenon_L598_); trivial.
% 51.40/51.55 (* end of lemma zenon_L608_ *)
% 51.40/51.55 assert (zenon_L609_ : (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((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) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e10) (e11)) = (e13)) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> ((op1 (e13) (e11)) = (e10)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e13))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e11) = (e13))) -> ((op2 (e22) (e21)) = (e21)) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((e21) = (op2 (e23) (e23))) -> (~((h4 (op1 (e12) (e11))) = (op2 (h4 (e12)) (h4 (e11))))) -> ((op1 (e12) (e10)) = (e12)) -> (~((e11) = (e12))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((e10) = (e11))) -> ((op1 (e11) (e12)) = (e10)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> False).
% 51.40/51.55 do 0 intro. intros zenon_H318 zenon_H3b3 zenon_H2ff zenon_H131 zenon_H128 zenon_H12c zenon_H2db zenon_H24 zenon_H324 zenon_H2e0 zenon_H113 zenon_Hf6 zenon_H105 zenon_H117 zenon_Hfb zenon_H3b9 zenon_H9e zenon_Hcf zenon_H2ce zenon_H46 zenon_H11a zenon_H65 zenon_H72 zenon_Hbe zenon_He1 zenon_He2 zenon_H7d zenon_H49 zenon_Hda zenon_H42 zenon_H35 zenon_H90 zenon_H3d zenon_H3ac zenon_H349 zenon_H15e zenon_H2e7 zenon_H14e zenon_H3ad zenon_H7c zenon_H10b zenon_H33e zenon_Hcb zenon_H2c9 zenon_Hf3 zenon_Hec zenon_Hf0 zenon_H327 zenon_Hb0 zenon_Ha2 zenon_H95 zenon_Hab zenon_H1c zenon_H2c zenon_Haf zenon_Hc2 zenon_Hde zenon_Hb5 zenon_H4b zenon_Hd3 zenon_Hb8 zenon_Hc8 zenon_H45 zenon_Hfe zenon_H2b zenon_H2c5 zenon_H2ba zenon_H2e1 zenon_Hff zenon_H23 zenon_H10e zenon_Hf8 zenon_Hea zenon_H8c zenon_H126 zenon_H54 zenon_H19.
% 51.40/51.55 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H108 | zenon_intro zenon_H319 ].
% 51.40/51.55 apply (zenon_L599_); trivial.
% 51.40/51.55 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H30b | zenon_intro zenon_H31a ].
% 51.40/51.55 apply (zenon_L608_); trivial.
% 51.40/51.55 apply (zenon_or_s _ _ zenon_H31a); [ zenon_intro zenon_H129 | zenon_intro zenon_Ha5 ].
% 51.40/51.55 apply (zenon_L359_); trivial.
% 51.40/51.55 apply (zenon_L33_); trivial.
% 51.40/51.55 (* end of lemma zenon_L609_ *)
% 51.40/51.55 assert (zenon_L610_ : ((op1 (e13) (e11)) = (e10)) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e10) (e10)) = (e11)) -> (~((op1 (e10) (e10)) = (op1 (e10) (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)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((e11) = (e12))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (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 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((e11) = (e13))) -> (~((e12) = (e13))) -> (~((h4 (op1 (e12) (e11))) = (op2 (h4 (e12)) (h4 (e11))))) -> ((e21) = (op2 (e23) (e23))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((op2 (e22) (e21)) = (e21)) -> (~((e10) = (e11))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e10) (e11)) = (e13)) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((e10) = (e13))) -> ((op1 (e10) (e13)) = (e12)) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> False).
% 51.40/51.55 do 0 intro. intros zenon_Hbe zenon_H327 zenon_H3b zenon_H105 zenon_H1b zenon_H2d4 zenon_H33e zenon_Hda zenon_H1c zenon_H2c zenon_Hd3 zenon_Hab zenon_Hfe zenon_H2b zenon_H2c9 zenon_Haf zenon_Ha2 zenon_Hde zenon_H2c5 zenon_H2ba zenon_H2e1 zenon_H10b zenon_Hff zenon_H23 zenon_Hc2 zenon_Hcf zenon_H10e zenon_He1 zenon_Hb8 zenon_Hc8 zenon_Hf3 zenon_Hec zenon_Hf0 zenon_Hcb zenon_H45 zenon_Hb0 zenon_Hea zenon_H95 zenon_Hb5 zenon_Hf8 zenon_H3d zenon_H4b zenon_H3ad zenon_H14e zenon_H2e7 zenon_H15e zenon_H349 zenon_H3ac zenon_H8c zenon_H2ce zenon_H46 zenon_H11a zenon_H54 zenon_H66 zenon_H65 zenon_H72 zenon_H42 zenon_H49 zenon_H35 zenon_H90 zenon_H9e zenon_H19.
% 51.40/51.55 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H41 | zenon_intro zenon_Hf9 ].
% 51.40/51.55 apply (zenon_L596_); trivial.
% 51.40/51.55 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H47 | zenon_intro zenon_Hfa ].
% 51.40/51.55 apply (zenon_L299_); trivial.
% 51.40/51.55 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H51 ].
% 51.40/51.55 apply (zenon_L601_); trivial.
% 51.40/51.55 apply (zenon_L595_); trivial.
% 51.40/51.55 (* end of lemma zenon_L610_ *)
% 51.40/51.55 assert (zenon_L611_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op2 (e22) (e21)) = (e21)) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((e21) = (op2 (e23) (e23))) -> (~((h4 (op1 (e12) (e11))) = (op2 (h4 (e12)) (h4 (e11))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (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)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e13))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> False).
% 51.40/51.55 do 0 intro. intros zenon_H13b zenon_H318 zenon_H305 zenon_H311 zenon_H30d zenon_H314 zenon_H2d4 zenon_H31e zenon_H31b zenon_H2d1 zenon_H2ce zenon_H3ac zenon_H349 zenon_H15e zenon_H2e7 zenon_H14e zenon_H3ad zenon_H33e zenon_H3b3 zenon_H327 zenon_H2ff zenon_H2db zenon_H324 zenon_H2e0 zenon_H3b9 zenon_H2be zenon_H32a zenon_H2c9 zenon_H2c5 zenon_H2ba zenon_H2e1 zenon_H341 zenon_H33a zenon_H1b zenon_H19 zenon_Hb8 zenon_H136 zenon_Hc8 zenon_Hea zenon_Hcf zenon_Hfb zenon_Ha2 zenon_H65 zenon_H95 zenon_H45 zenon_Hf8 zenon_Hff zenon_H113 zenon_H123 zenon_H131 zenon_H125 zenon_H128 zenon_H3d zenon_He1 zenon_H12c zenon_H9e zenon_H42 zenon_H4b zenon_Hb5 zenon_Hf3 zenon_Hc2 zenon_Hec zenon_Hf0 zenon_Hcb zenon_H90 zenon_H10b zenon_H2b zenon_Hfe zenon_H105 zenon_H117 zenon_H8c zenon_Haf zenon_H72 zenon_H7d zenon_H10e zenon_H54 zenon_Hf6 zenon_Hb0 zenon_H24 zenon_H135 zenon_Hde zenon_H35 zenon_Hab zenon_Hd3 zenon_H2c zenon_H1c zenon_Hda.
% 51.40/51.55 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H23 | zenon_intro zenon_H13e ].
% 51.40/51.55 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H3b | zenon_intro zenon_H139 ].
% 51.40/51.55 apply (zenon_or_s _ _ zenon_H32a); [ zenon_intro zenon_H2d | zenon_intro zenon_H32b ].
% 51.40/51.55 apply (zenon_L7_); trivial.
% 51.40/51.55 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H2bb | zenon_intro zenon_H32c ].
% 51.40/51.55 apply (zenon_L281_); trivial.
% 51.40/51.55 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H2bf | zenon_intro zenon_H49 ].
% 51.40/51.55 apply (zenon_L282_); trivial.
% 51.40/51.55 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ].
% 51.40/51.55 apply (zenon_L7_); trivial.
% 51.40/51.55 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_H34 | zenon_intro zenon_H101 ].
% 51.40/51.55 apply (zenon_L325_); trivial.
% 51.40/51.55 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_H7c | zenon_intro zenon_He8 ].
% 51.40/51.55 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H3c | zenon_intro zenon_H102 ].
% 51.40/51.55 apply (zenon_L11_); trivial.
% 51.40/51.55 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_H46 | zenon_intro zenon_H103 ].
% 51.40/51.55 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hfc ].
% 51.40/51.55 apply (zenon_L11_); trivial.
% 51.40/51.55 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H41 | zenon_intro zenon_Hfd ].
% 51.40/51.55 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H33 | zenon_intro zenon_H2e2 ].
% 51.40/51.55 apply (zenon_L12_); trivial.
% 51.40/51.55 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2e3 ].
% 51.40/51.55 apply (zenon_L283_); trivial.
% 51.40/51.55 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H126 | zenon_intro zenon_H50 ].
% 51.40/51.55 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H108 | zenon_intro zenon_H319 ].
% 51.40/51.55 apply (zenon_L328_); trivial.
% 51.40/51.55 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H30b | zenon_intro zenon_H31a ].
% 51.40/51.55 apply (zenon_or_s _ _ zenon_H341); [ zenon_intro zenon_H34 | zenon_intro zenon_H342 ].
% 51.40/51.55 apply (zenon_L86_); trivial.
% 51.40/51.55 apply (zenon_or_s _ _ zenon_H342); [ zenon_intro zenon_H2c6 | zenon_intro zenon_H343 ].
% 51.40/51.55 apply (zenon_or_s _ _ zenon_H33e); [ zenon_intro zenon_H10a | zenon_intro zenon_H33f ].
% 51.40/51.55 apply (zenon_L75_); trivial.
% 51.40/51.55 apply (zenon_or_s _ _ zenon_H33f); [ zenon_intro zenon_H330 | zenon_intro zenon_H340 ].
% 51.40/51.55 apply (zenon_L580_); trivial.
% 51.40/51.55 apply (zenon_or_s _ _ zenon_H340); [ zenon_intro zenon_H335 | zenon_intro zenon_H33b ].
% 51.40/51.55 apply (zenon_L451_); trivial.
% 51.40/51.55 apply (zenon_L452_); trivial.
% 51.40/51.55 apply (zenon_or_s _ _ zenon_H343); [ zenon_intro zenon_H12b | zenon_intro zenon_Haa ].
% 51.40/51.55 apply (zenon_L454_); trivial.
% 51.40/51.55 apply (zenon_L34_); trivial.
% 51.40/51.55 apply (zenon_or_s _ _ zenon_H31a); [ zenon_intro zenon_H129 | zenon_intro zenon_Ha5 ].
% 51.40/51.55 apply (zenon_L359_); trivial.
% 51.40/51.55 apply (zenon_L33_); trivial.
% 51.40/51.55 apply (zenon_L369_); trivial.
% 51.40/51.55 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_He2 | zenon_intro zenon_H66 ].
% 51.40/51.55 apply (zenon_or_s _ _ zenon_H3b9); [ zenon_intro zenon_H104 | zenon_intro zenon_H3ba ].
% 51.40/51.55 apply (zenon_L385_); trivial.
% 51.40/51.55 apply (zenon_or_s _ _ zenon_H3ba); [ zenon_intro zenon_H30b | zenon_intro zenon_H3bb ].
% 51.40/51.55 apply (zenon_L583_); trivial.
% 51.40/51.55 apply (zenon_or_s _ _ zenon_H3bb); [ zenon_intro zenon_H330 | zenon_intro zenon_H3b4 ].
% 51.40/51.55 apply (zenon_L580_); trivial.
% 51.40/51.55 apply (zenon_L584_); trivial.
% 51.40/51.55 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H2bb | zenon_intro zenon_H2e4 ].
% 51.40/51.55 apply (zenon_L281_); trivial.
% 51.40/51.55 apply (zenon_or_s _ _ zenon_H2e4); [ zenon_intro zenon_H2c6 | zenon_intro zenon_H2e5 ].
% 51.40/51.55 apply (zenon_L589_); trivial.
% 51.40/51.55 apply (zenon_or_s _ _ zenon_H2e5); [ zenon_intro zenon_H2c8 | zenon_intro zenon_H2de ].
% 51.40/51.55 apply (zenon_L332_); trivial.
% 51.40/51.55 apply (zenon_L309_); trivial.
% 51.40/51.55 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_He6 | zenon_intro zenon_H4a ].
% 51.40/51.55 apply (zenon_L378_); trivial.
% 51.40/51.55 apply (zenon_L15_); trivial.
% 51.40/51.55 apply (zenon_L384_); trivial.
% 51.40/51.55 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H104 | zenon_intro zenon_H13a ].
% 51.40/51.55 apply (zenon_L426_); trivial.
% 51.40/51.55 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H11a | zenon_intro zenon_H11c ].
% 51.40/51.55 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H3b | zenon_intro zenon_H118 ].
% 51.40/51.55 apply (zenon_or_s _ _ zenon_H32a); [ zenon_intro zenon_H2d | zenon_intro zenon_H32b ].
% 51.40/51.55 apply (zenon_L7_); trivial.
% 51.40/51.55 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H2bb | zenon_intro zenon_H32c ].
% 51.40/51.55 apply (zenon_L281_); trivial.
% 51.40/51.55 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H2bf | zenon_intro zenon_H49 ].
% 51.40/51.55 apply (zenon_L282_); trivial.
% 51.40/51.55 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ].
% 51.40/51.55 apply (zenon_L7_); trivial.
% 51.40/51.55 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_H34 | zenon_intro zenon_H101 ].
% 51.40/51.55 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H3c | zenon_intro zenon_H102 ].
% 51.40/51.55 apply (zenon_L317_); trivial.
% 51.40/51.55 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_H46 | zenon_intro zenon_H103 ].
% 51.40/51.55 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hfc ].
% 51.40/51.55 apply (zenon_L317_); trivial.
% 51.40/51.55 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H41 | zenon_intro zenon_Hfd ].
% 51.40/51.55 apply (zenon_L86_); trivial.
% 51.40/51.55 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_He2 | zenon_intro zenon_H66 ].
% 51.40/51.55 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H33 | zenon_intro zenon_H2e2 ].
% 51.40/51.55 apply (zenon_L9_); trivial.
% 51.40/51.55 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2e3 ].
% 51.40/51.55 apply (zenon_L283_); trivial.
% 51.40/51.55 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H126 | zenon_intro zenon_H50 ].
% 51.40/51.55 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H2bb | zenon_intro zenon_H2e4 ].
% 51.40/51.55 apply (zenon_L281_); trivial.
% 51.40/51.55 apply (zenon_or_s _ _ zenon_H2e4); [ zenon_intro zenon_H2c6 | zenon_intro zenon_H2e5 ].
% 51.40/51.55 apply (zenon_L284_); trivial.
% 51.40/51.55 apply (zenon_or_s _ _ zenon_H2e5); [ zenon_intro zenon_H2c8 | zenon_intro zenon_H2de ].
% 51.40/51.55 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H41 | zenon_intro zenon_Hf9 ].
% 51.40/51.55 apply (zenon_L86_); trivial.
% 51.40/51.55 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H47 | zenon_intro zenon_Hfa ].
% 51.40/51.55 apply (zenon_L13_); trivial.
% 51.40/51.55 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H51 ].
% 51.40/51.55 apply (zenon_L298_); trivial.
% 51.40/51.55 apply (zenon_L590_); trivial.
% 51.40/51.55 apply (zenon_L309_); trivial.
% 51.40/51.55 apply (zenon_L591_); trivial.
% 51.40/51.55 apply (zenon_L594_); trivial.
% 51.40/51.55 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_He6 | zenon_intro zenon_H4a ].
% 51.40/51.55 apply (zenon_L427_); trivial.
% 51.40/51.55 apply (zenon_L15_); trivial.
% 51.40/51.55 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_H7c | zenon_intro zenon_He8 ].
% 51.40/51.55 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H3c | zenon_intro zenon_H102 ].
% 51.40/51.55 apply (zenon_L11_); trivial.
% 51.40/51.55 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_H46 | zenon_intro zenon_H103 ].
% 51.40/51.55 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hfc ].
% 51.40/51.55 apply (zenon_L11_); trivial.
% 51.40/51.55 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H41 | zenon_intro zenon_Hfd ].
% 51.40/51.55 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H33 | zenon_intro zenon_H2e2 ].
% 51.40/51.55 apply (zenon_L12_); trivial.
% 51.40/51.55 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2e3 ].
% 51.40/51.55 apply (zenon_L283_); trivial.
% 51.40/51.55 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H126 | zenon_intro zenon_H50 ].
% 51.40/51.55 apply (zenon_or_s _ _ zenon_H31e); [ zenon_intro zenon_H2bf | zenon_intro zenon_H31f ].
% 51.40/51.55 apply (zenon_L282_); trivial.
% 51.40/51.55 apply (zenon_or_s _ _ zenon_H31f); [ zenon_intro zenon_H12b | zenon_intro zenon_H320 ].
% 51.40/51.55 apply (zenon_L333_); trivial.
% 51.40/51.55 apply (zenon_or_s _ _ zenon_H320); [ zenon_intro zenon_H304 | zenon_intro zenon_Hf1 ].
% 51.40/51.55 apply (zenon_L334_); trivial.
% 51.40/51.55 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hc9 ].
% 51.40/51.55 apply (zenon_L39_); trivial.
% 51.40/51.55 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hca ].
% 51.40/51.55 apply (zenon_L606_); trivial.
% 51.40/51.55 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H8b ].
% 51.40/51.55 apply (zenon_L41_); trivial.
% 51.40/51.55 apply (zenon_L24_); trivial.
% 51.40/51.55 apply (zenon_L377_); trivial.
% 51.40/51.55 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_He2 | zenon_intro zenon_H66 ].
% 51.40/51.55 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H33 | zenon_intro zenon_H2e2 ].
% 51.40/51.55 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H108 | zenon_intro zenon_H319 ].
% 51.40/51.55 apply (zenon_L600_); trivial.
% 51.40/51.55 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H30b | zenon_intro zenon_H31a ].
% 51.40/51.55 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H41 | zenon_intro zenon_Hf9 ].
% 51.40/51.55 apply (zenon_L12_); trivial.
% 51.40/51.55 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H47 | zenon_intro zenon_Hfa ].
% 51.40/51.55 apply (zenon_L13_); trivial.
% 51.40/51.55 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H51 ].
% 51.40/51.55 apply (zenon_L464_); trivial.
% 51.40/51.55 apply (zenon_L590_); trivial.
% 51.40/51.55 apply (zenon_or_s _ _ zenon_H31a); [ zenon_intro zenon_H129 | zenon_intro zenon_Ha5 ].
% 51.40/51.55 apply (zenon_L482_); trivial.
% 51.40/51.55 apply (zenon_L33_); trivial.
% 51.40/51.55 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2e3 ].
% 51.40/51.55 apply (zenon_L283_); trivial.
% 51.40/51.55 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H126 | zenon_intro zenon_H50 ].
% 51.40/51.55 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hc9 ].
% 51.40/51.55 apply (zenon_L39_); trivial.
% 51.40/51.55 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hca ].
% 51.40/51.55 apply (zenon_L609_); trivial.
% 51.40/51.55 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H8b ].
% 51.40/51.55 apply (zenon_L41_); trivial.
% 51.40/51.55 apply (zenon_L24_); trivial.
% 51.40/51.55 apply (zenon_L377_); trivial.
% 51.40/51.55 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hc9 ].
% 51.40/51.55 apply (zenon_L39_); trivial.
% 51.40/51.55 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hca ].
% 51.40/51.55 apply (zenon_L610_); trivial.
% 51.40/51.55 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H8b ].
% 51.40/51.55 apply (zenon_L41_); trivial.
% 51.40/51.55 apply (zenon_L24_); trivial.
% 51.40/51.55 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_He6 | zenon_intro zenon_H4a ].
% 51.40/51.55 apply (zenon_L427_); trivial.
% 51.40/51.55 apply (zenon_L335_); trivial.
% 51.40/51.55 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H3c | zenon_intro zenon_H102 ].
% 51.40/51.55 apply (zenon_L317_); trivial.
% 51.40/51.55 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_H46 | zenon_intro zenon_H103 ].
% 51.40/51.55 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hfc ].
% 51.40/51.55 apply (zenon_L317_); trivial.
% 51.40/51.55 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H41 | zenon_intro zenon_Hfd ].
% 51.40/51.55 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H33 | zenon_intro zenon_H2e2 ].
% 51.40/51.55 apply (zenon_L71_); trivial.
% 51.40/51.55 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2e3 ].
% 51.40/51.55 apply (zenon_L283_); trivial.
% 51.40/51.55 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H126 | zenon_intro zenon_H50 ].
% 51.40/51.55 apply (zenon_L604_); trivial.
% 51.40/51.55 apply (zenon_L360_); trivial.
% 51.40/51.55 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_He2 | zenon_intro zenon_H66 ].
% 51.40/51.55 apply (zenon_L352_); trivial.
% 51.40/51.55 apply (zenon_L57_); trivial.
% 51.40/51.55 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_He6 | zenon_intro zenon_H4a ].
% 51.40/51.55 apply (zenon_L383_); trivial.
% 51.40/51.55 apply (zenon_L15_); trivial.
% 51.40/51.55 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H108 | zenon_intro zenon_H119 ].
% 51.40/51.55 apply (zenon_L603_); trivial.
% 51.40/51.55 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H10a | zenon_intro zenon_H114 ].
% 51.40/51.55 apply (zenon_L512_); trivial.
% 51.40/51.55 apply (zenon_L82_); trivial.
% 51.40/51.55 apply (zenon_L85_); trivial.
% 51.40/51.55 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H1d | zenon_intro zenon_H14b ].
% 51.40/51.55 apply (zenon_L4_); trivial.
% 51.40/51.55 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H22 | zenon_intro zenon_H4e ].
% 51.40/51.55 apply (zenon_L109_); trivial.
% 51.40/51.55 apply (zenon_L47_); trivial.
% 51.40/51.55 (* end of lemma zenon_L611_ *)
% 51.40/51.55 assert (zenon_L612_ : ((op2 (e22) (e20)) = (e22)) -> ((op2 (e20) (e22)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e23)) -> ((op2 (e23) (e20)) = (e23)) -> ((op2 (e22) (e23)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((e21) = (op2 (e23) (e23))) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> False).
% 51.40/51.55 do 0 intro. intros zenon_H176 zenon_H156 zenon_H1b1 zenon_H1bd zenon_H1bc zenon_H1cd zenon_H1c9 zenon_H1cc zenon_H14e zenon_H244 zenon_H245.
% 51.40/51.55 apply (zenon_or_s _ _ ax11); [ zenon_intro zenon_H1b0 | zenon_intro zenon_H1e2 ].
% 51.40/51.55 apply (zenon_L133_); trivial.
% 51.40/51.55 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H1bb | zenon_intro zenon_H1e3 ].
% 51.40/51.55 apply (zenon_L134_); trivial.
% 51.40/51.55 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H1cb | zenon_intro zenon_H1d6 ].
% 51.40/51.55 apply (zenon_L136_); trivial.
% 51.40/51.55 apply (zenon_L172_); trivial.
% 51.40/51.55 (* end of lemma zenon_L612_ *)
% 51.40/51.55 assert (zenon_L613_ : (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e22) = (e23))) -> ((op2 (e22) (e23)) = (e20)) -> ((op2 (e23) (e20)) = (e23)) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e20) (e22)) = (e20)) -> ((op2 (e22) (e20)) = (e22)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e20) (e23)) = (e22)) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e22)) = (e22)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((e21) = (e23))) -> ((e21) = (op2 (e23) (e23))) -> False).
% 51.40/51.55 do 0 intro. intros zenon_H1fa zenon_H1ac zenon_H1c9 zenon_H1cd zenon_H1b1 zenon_H156 zenon_H176 zenon_H245 zenon_H244 zenon_H1ec zenon_H1bd zenon_H1e6 zenon_H175 zenon_H15e zenon_H14 zenon_H187 zenon_H19b zenon_H1cc zenon_H18e zenon_H195 zenon_H1f3 zenon_H21b zenon_H1d8 zenon_H217 zenon_H1fd zenon_H21f zenon_H1f7 zenon_H14e.
% 51.40/51.55 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H1ab | zenon_intro zenon_H1fb ].
% 51.40/51.55 apply (zenon_L132_); trivial.
% 51.40/51.55 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H1bc | zenon_intro zenon_H1fc ].
% 51.40/51.55 apply (zenon_L612_); trivial.
% 51.40/51.55 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H1f8 ].
% 51.40/51.55 apply (zenon_L180_); trivial.
% 51.40/51.55 apply (zenon_L149_); trivial.
% 51.40/51.55 (* end of lemma zenon_L613_ *)
% 51.40/51.55 assert (zenon_L614_ : (~((op2 (e23) (e23)) = (op2 (op2 (e20) (e21)) (op2 (e20) (e21))))) -> ((op2 (e20) (e21)) = (e23)) -> False).
% 51.40/51.55 do 0 intro. intros zenon_H3bc zenon_H244.
% 51.40/51.55 cut (((e23) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H249].
% 51.40/51.55 cut (((e23) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H249].
% 51.40/51.55 congruence.
% 51.40/51.55 apply zenon_H249. apply sym_equal. exact zenon_H244.
% 51.40/51.55 apply zenon_H249. apply sym_equal. exact zenon_H244.
% 51.40/51.55 (* end of lemma zenon_L614_ *)
% 51.40/51.55 assert (zenon_L615_ : (~((op2 (e23) (e23)) = (op2 (e20) (e22)))) -> ((op2 (op2 (e20) (e21)) (op2 (e20) (e21))) = (e21)) -> ((op2 (e20) (e21)) = (e23)) -> ((op2 (e20) (e22)) = (e21)) -> False).
% 51.40/51.55 do 0 intro. intros zenon_H3bd zenon_H1b5 zenon_H244 zenon_H293.
% 51.40/51.55 cut (((op2 (op2 (e20) (e21)) (op2 (e20) (e21))) = (e21)) = ((op2 (e23) (e23)) = (op2 (e20) (e22)))).
% 51.40/51.55 intro zenon_D_pnotp.
% 51.40/51.55 apply zenon_H3bd.
% 51.40/51.55 rewrite <- zenon_D_pnotp.
% 51.40/51.55 exact zenon_H1b5.
% 51.40/51.55 cut (((e21) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H36c].
% 51.40/51.55 cut (((op2 (op2 (e20) (e21)) (op2 (e20) (e21))) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H3be].
% 51.40/51.55 congruence.
% 51.40/51.55 elim (classic ((op2 (e23) (e23)) = (op2 (e23) (e23)))); [ zenon_intro zenon_H196 | zenon_intro zenon_H197 ].
% 51.40/51.55 cut (((op2 (e23) (e23)) = (op2 (e23) (e23))) = ((op2 (op2 (e20) (e21)) (op2 (e20) (e21))) = (op2 (e23) (e23)))).
% 51.40/51.55 intro zenon_D_pnotp.
% 51.40/51.55 apply zenon_H3be.
% 51.40/51.55 rewrite <- zenon_D_pnotp.
% 51.40/51.55 exact zenon_H196.
% 51.40/51.55 cut (((op2 (e23) (e23)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H197].
% 51.40/51.55 cut (((op2 (e23) (e23)) = (op2 (op2 (e20) (e21)) (op2 (e20) (e21))))); [idtac | apply NNPP; zenon_intro zenon_H3bc].
% 51.40/51.55 congruence.
% 51.40/51.55 apply (zenon_L614_); trivial.
% 51.40/51.55 apply zenon_H197. apply refl_equal.
% 51.40/51.55 apply zenon_H197. apply refl_equal.
% 51.40/51.55 apply zenon_H36c. apply sym_equal. exact zenon_H293.
% 51.40/51.55 (* end of lemma zenon_L615_ *)
% 51.40/51.55 assert (zenon_L616_ : (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e20) (e22)) = (e21)) -> ((op2 (e22) (e22)) = (e21)) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e23)) -> ((op2 (e23) (e20)) = (e23)) -> ((op2 (e22) (e23)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((e21) = (op2 (e23) (e23))) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> False).
% 51.40/51.55 do 0 intro. intros zenon_H2b7 zenon_H293 zenon_H3bf zenon_H1bd zenon_H1bc zenon_H1cd zenon_H1c9 zenon_H1cc zenon_H14e zenon_H244 zenon_H245.
% 51.40/51.55 apply (zenon_or_s _ _ ax11); [ zenon_intro zenon_H1b0 | zenon_intro zenon_H1e2 ].
% 51.40/51.55 apply (zenon_and_s _ _ zenon_H1b0). zenon_intro zenon_H1b3. zenon_intro zenon_H1b2.
% 51.40/51.55 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H1b5. zenon_intro zenon_H1b4.
% 51.40/51.55 elim (classic ((op2 (e22) (e22)) = (op2 (e22) (e22)))); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H1a1 ].
% 51.40/51.55 cut (((op2 (e22) (e22)) = (op2 (e22) (e22))) = ((op2 (e20) (e22)) = (op2 (e22) (e22)))).
% 51.40/51.55 intro zenon_D_pnotp.
% 51.40/51.55 apply zenon_H2b7.
% 51.40/51.55 rewrite <- zenon_D_pnotp.
% 51.40/51.55 exact zenon_H1a0.
% 51.40/51.55 cut (((op2 (e22) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H1a1].
% 51.40/51.55 cut (((op2 (e22) (e22)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H2b8].
% 51.40/51.55 congruence.
% 51.40/51.55 cut (((e21) = (op2 (e23) (e23))) = ((op2 (e22) (e22)) = (op2 (e20) (e22)))).
% 51.40/51.55 intro zenon_D_pnotp.
% 51.40/51.55 apply zenon_H2b8.
% 51.40/51.55 rewrite <- zenon_D_pnotp.
% 51.40/51.55 exact zenon_H14e.
% 51.40/51.55 cut (((op2 (e23) (e23)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H3bd].
% 51.40/51.55 cut (((e21) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H3c0].
% 51.40/51.55 congruence.
% 51.40/51.55 elim (classic ((op2 (e22) (e22)) = (op2 (e22) (e22)))); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H1a1 ].
% 51.40/51.55 cut (((op2 (e22) (e22)) = (op2 (e22) (e22))) = ((e21) = (op2 (e22) (e22)))).
% 51.40/51.55 intro zenon_D_pnotp.
% 51.40/51.55 apply zenon_H3c0.
% 51.40/51.55 rewrite <- zenon_D_pnotp.
% 51.40/51.55 exact zenon_H1a0.
% 51.40/51.55 cut (((op2 (e22) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H1a1].
% 51.40/51.55 cut (((op2 (e22) (e22)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H3c1].
% 51.40/51.55 congruence.
% 51.40/51.55 exact (zenon_H3c1 zenon_H3bf).
% 51.40/51.55 apply zenon_H1a1. apply refl_equal.
% 51.40/51.55 apply zenon_H1a1. apply refl_equal.
% 51.40/51.55 apply (zenon_L615_); trivial.
% 51.40/51.55 apply zenon_H1a1. apply refl_equal.
% 51.40/51.55 apply zenon_H1a1. apply refl_equal.
% 51.40/51.55 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H1bb | zenon_intro zenon_H1e3 ].
% 51.40/51.55 apply (zenon_L134_); trivial.
% 51.40/51.55 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H1cb | zenon_intro zenon_H1d6 ].
% 51.40/51.55 apply (zenon_L136_); trivial.
% 51.40/51.55 apply (zenon_L172_); trivial.
% 51.40/51.55 (* end of lemma zenon_L616_ *)
% 51.40/51.55 assert (zenon_L617_ : (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e20) = (e22))) -> ((op2 (e20) (e23)) = (e22)) -> (~((e20) = (e23))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e23) (e20)) = (e23)) -> ((op2 (e21) (e23)) = (e23)) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e22) (e22)) = (e21)) -> ((op2 (e20) (e22)) = (e21)) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> ((e21) = (op2 (e23) (e23))) -> (~((e20) = (e21))) -> False).
% 51.40/51.55 do 0 intro. intros zenon_H22f zenon_H16f zenon_H175 zenon_H205 zenon_H245 zenon_H244 zenon_H1cc zenon_H1cd zenon_H1bc zenon_H1bd zenon_H3bf zenon_H293 zenon_H2b7 zenon_H14e zenon_H210.
% 51.40/51.55 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H235 ].
% 51.40/51.55 apply (zenon_L129_); trivial.
% 51.40/51.55 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H1a8 | zenon_intro zenon_H236 ].
% 51.40/51.55 apply (zenon_L184_); trivial.
% 51.40/51.55 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1c9 | zenon_intro zenon_H20f ].
% 51.40/51.55 apply (zenon_L616_); trivial.
% 51.40/51.55 apply (zenon_L154_); trivial.
% 51.40/51.55 (* end of lemma zenon_L617_ *)
% 51.40/51.55 assert (zenon_L618_ : (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e22) = (e23))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e20) (e22)) = (e21)) -> ((op2 (e22) (e22)) = (e21)) -> ((op2 (e23) (e20)) = (e23)) -> (~((e20) = (e23))) -> (~((e20) = (e22))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e20) (e23)) = (e22)) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e22)) = (e22)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((e21) = (e23))) -> ((e21) = (op2 (e23) (e23))) -> False).
% 51.40/51.56 do 0 intro. intros zenon_H1fa zenon_H1ac zenon_H210 zenon_H2b7 zenon_H293 zenon_H3bf zenon_H1cd zenon_H205 zenon_H16f zenon_H22f zenon_H245 zenon_H244 zenon_H1ec zenon_H1bd zenon_H1e6 zenon_H175 zenon_H15e zenon_H14 zenon_H187 zenon_H19b zenon_H1cc zenon_H18e zenon_H195 zenon_H1f3 zenon_H21b zenon_H1d8 zenon_H217 zenon_H1fd zenon_H21f zenon_H1f7 zenon_H14e.
% 51.40/51.56 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H1ab | zenon_intro zenon_H1fb ].
% 51.40/51.56 apply (zenon_L132_); trivial.
% 51.40/51.56 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H1bc | zenon_intro zenon_H1fc ].
% 51.40/51.56 apply (zenon_L617_); trivial.
% 51.40/51.56 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H1f8 ].
% 51.40/51.56 apply (zenon_L180_); trivial.
% 51.40/51.56 apply (zenon_L149_); trivial.
% 51.40/51.56 (* end of lemma zenon_L618_ *)
% 51.40/51.56 assert (zenon_L619_ : (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> ((op2 (e22) (e20)) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e22) (e23)) = (e20)) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((op2 (e23) (e20)) = (e23)) -> ((op2 (e22) (e22)) = (e21)) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((e20) = (e23))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e20) = (e21))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((e20) = (e22))) -> (~((e22) = (e23))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e22)) = (e22)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((e21) = (e23))) -> ((e21) = (op2 (e23) (e23))) -> False).
% 51.40/51.56 do 0 intro. intros zenon_H3c2 zenon_H176 zenon_H1b1 zenon_H1c9 zenon_H244 zenon_H245 zenon_H1cd zenon_H3bf zenon_H168 zenon_H205 zenon_H1fa zenon_H210 zenon_H14 zenon_H209 zenon_H22f zenon_H18e zenon_H19b zenon_H195 zenon_H15e zenon_H175 zenon_H1e6 zenon_H1bd zenon_H1cc zenon_H1d7 zenon_H214 zenon_H1fd zenon_H16f zenon_H1ac zenon_H24e zenon_H187 zenon_H1ec zenon_H2b7 zenon_H1f3 zenon_H21b zenon_H1d8 zenon_H217 zenon_H21f zenon_H1f7 zenon_H14e.
% 51.40/51.56 apply (zenon_or_s _ _ zenon_H3c2); [ zenon_intro zenon_H156 | zenon_intro zenon_H3c3 ].
% 51.40/51.56 apply (zenon_L613_); trivial.
% 51.40/51.56 apply (zenon_or_s _ _ zenon_H3c3); [ zenon_intro zenon_H293 | zenon_intro zenon_H3c4 ].
% 51.40/51.56 apply (zenon_L618_); trivial.
% 51.40/51.56 apply (zenon_or_s _ _ zenon_H3c4); [ zenon_intro zenon_H169 | zenon_intro zenon_H256 ].
% 51.40/51.56 apply (zenon_L118_); trivial.
% 51.40/51.56 apply (zenon_L277_); trivial.
% 51.40/51.56 (* end of lemma zenon_L619_ *)
% 51.40/51.56 assert (zenon_L620_ : ((op2 (e23) (e21)) = (e20)) -> ((e21) = (op2 (e23) (e23))) -> (~((e21) = (e23))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e22) = (e23))) -> (~((e20) = (e22))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e20) (e23)) = (e22)) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((e20) = (e21))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e20) = (e23))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> ((op2 (e22) (e22)) = (e21)) -> ((op2 (e23) (e20)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((op2 (e20) (e21)) = (e23)) -> ((op2 (e22) (e23)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e22) (e20)) = (e22)) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> False).
% 51.40/51.56 do 0 intro. intros zenon_H203 zenon_H14e zenon_H1f7 zenon_H21f zenon_H217 zenon_H21b zenon_H1f3 zenon_H2b7 zenon_H1ec zenon_H187 zenon_H24e zenon_H1ac zenon_H16f zenon_H1fd zenon_H214 zenon_H1d7 zenon_H1cc zenon_H1bd zenon_H1e6 zenon_H175 zenon_H19b zenon_H18e zenon_H22f zenon_H209 zenon_H210 zenon_H1fa zenon_H205 zenon_H168 zenon_H3bf zenon_H1cd zenon_H245 zenon_H244 zenon_H1c9 zenon_H1b1 zenon_H176 zenon_H3c2 zenon_H15e zenon_H14 zenon_H195.
% 51.40/51.56 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_H21c | zenon_intro zenon_H24f ].
% 51.40/51.56 apply (zenon_L192_); trivial.
% 51.40/51.56 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H229 | zenon_intro zenon_H250 ].
% 51.40/51.56 apply (zenon_L162_); trivial.
% 51.40/51.56 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H194 ].
% 51.40/51.56 apply (zenon_L619_); trivial.
% 51.40/51.56 apply (zenon_L126_); trivial.
% 51.40/51.56 (* end of lemma zenon_L620_ *)
% 51.40/51.56 assert (zenon_L621_ : (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((e21) = (e22))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((e10) = (e11))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((e11) = (e12))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((e10) = (e13))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e13))) -> (~((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 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((h4 (op1 (e12) (e11))) = (op2 (h4 (e12)) (h4 (e11))))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (((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))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> ((op2 (e22) (e20)) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e22) (e23)) = (e20)) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((op2 (e23) (e20)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((e20) = (e23))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e20) = (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((e20) = (e22))) -> (~((e22) = (e23))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((e21) = (e23))) -> ((op2 (e23) (e21)) = (e20)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> False).
% 51.40/51.56 do 0 intro. intros zenon_H3c5 zenon_H288 zenon_Hda zenon_H1c zenon_H2c zenon_Hd3 zenon_Hab zenon_H35 zenon_Hde zenon_H135 zenon_H24 zenon_Hb0 zenon_Hf6 zenon_H54 zenon_H10e zenon_H7d zenon_H72 zenon_Haf zenon_H8c zenon_H117 zenon_H105 zenon_Hfe zenon_H2b zenon_H10b zenon_H90 zenon_Hcb zenon_Hf0 zenon_Hec zenon_Hc2 zenon_Hf3 zenon_Hb5 zenon_H4b zenon_H42 zenon_H9e zenon_H12c zenon_He1 zenon_H3d zenon_H128 zenon_H125 zenon_H131 zenon_H123 zenon_H113 zenon_Hff zenon_Hf8 zenon_H45 zenon_H95 zenon_H65 zenon_Ha2 zenon_Hfb zenon_Hcf zenon_Hea zenon_Hc8 zenon_H136 zenon_Hb8 zenon_H19 zenon_H1b zenon_H33a zenon_H341 zenon_H2e1 zenon_H2ba zenon_H2c5 zenon_H2c9 zenon_H32a zenon_H2be zenon_H3b9 zenon_H2e0 zenon_H324 zenon_H2db zenon_H2ff zenon_H327 zenon_H3b3 zenon_H33e zenon_H3ad zenon_H2e7 zenon_H349 zenon_H2ce zenon_H2d1 zenon_H31b zenon_H31e zenon_H2d4 zenon_H314 zenon_H30d zenon_H311 zenon_H305 zenon_H318 zenon_H13b zenon_H195 zenon_H14 zenon_H15e zenon_H3c2 zenon_H176 zenon_H1b1 zenon_H1c9 zenon_H244 zenon_H245 zenon_H1cd zenon_H168 zenon_H205 zenon_H1fa zenon_H210 zenon_H209 zenon_H22f zenon_H18e zenon_H19b zenon_H175 zenon_H1e6 zenon_H1bd zenon_H1cc zenon_H1d7 zenon_H214 zenon_H1fd zenon_H16f zenon_H1ac zenon_H24e zenon_H187 zenon_H2b7 zenon_H1f3 zenon_H21b zenon_H217 zenon_H21f zenon_H1f7 zenon_H203 zenon_H1ec zenon_H14e.
% 51.40/51.56 apply (zenon_or_s _ _ zenon_H3c5); [ zenon_intro zenon_H26e | zenon_intro zenon_H3c6 ].
% 51.40/51.56 apply (zenon_L223_); trivial.
% 51.40/51.56 apply (zenon_or_s _ _ zenon_H3c6); [ zenon_intro zenon_H3ac | zenon_intro zenon_H3c7 ].
% 51.40/51.56 apply (zenon_L611_); trivial.
% 51.40/51.56 apply (zenon_or_s _ _ zenon_H3c7); [ zenon_intro zenon_H3bf | zenon_intro zenon_H29a ].
% 51.40/51.56 apply (zenon_L620_); trivial.
% 51.40/51.56 apply (zenon_L235_); trivial.
% 51.40/51.56 (* end of lemma zenon_L621_ *)
% 51.40/51.56 assert (zenon_L622_ : (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e21)) = (e20)) -> (~((e21) = (e23))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e22) = (e23))) -> (~((e20) = (e22))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e20) (e23)) = (e22)) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e20) = (e23))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> ((op2 (e23) (e20)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e22) (e20)) = (e22)) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> (~((h4 (op1 (e12) (e11))) = (op2 (h4 (e12)) (h4 (e11))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (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)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e13))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((e21) = (e22))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> ((e21) = (op2 (e23) (e23))) -> (~((e20) = (e21))) -> False).
% 51.40/51.56 do 0 intro. intros zenon_H1ec zenon_H203 zenon_H1f7 zenon_H21f zenon_H217 zenon_H21b zenon_H1f3 zenon_H2b7 zenon_H187 zenon_H24e zenon_H1ac zenon_H16f zenon_H1fd zenon_H214 zenon_H1d7 zenon_H1cc zenon_H1bd zenon_H1e6 zenon_H175 zenon_H19b zenon_H18e zenon_H22f zenon_H209 zenon_H1fa zenon_H205 zenon_H168 zenon_H1cd zenon_H245 zenon_H244 zenon_H1b1 zenon_H176 zenon_H3c2 zenon_H15e zenon_H14 zenon_H195 zenon_H13b zenon_H318 zenon_H305 zenon_H311 zenon_H30d zenon_H314 zenon_H2d4 zenon_H31e zenon_H31b zenon_H2d1 zenon_H2ce zenon_H349 zenon_H2e7 zenon_H3ad zenon_H33e zenon_H3b3 zenon_H327 zenon_H2ff zenon_H2db zenon_H324 zenon_H2e0 zenon_H3b9 zenon_H2be zenon_H32a zenon_H2c9 zenon_H2c5 zenon_H2ba zenon_H2e1 zenon_H341 zenon_H33a zenon_H1b zenon_H19 zenon_Hb8 zenon_H136 zenon_Hc8 zenon_Hea zenon_Hcf zenon_Hfb zenon_Ha2 zenon_H65 zenon_H95 zenon_H45 zenon_Hf8 zenon_Hff zenon_H113 zenon_H123 zenon_H131 zenon_H125 zenon_H128 zenon_H3d zenon_He1 zenon_H12c zenon_H9e zenon_H42 zenon_H4b zenon_Hb5 zenon_Hf3 zenon_Hc2 zenon_Hec zenon_Hf0 zenon_Hcb zenon_H90 zenon_H10b zenon_H2b zenon_Hfe zenon_H105 zenon_H117 zenon_H8c zenon_Haf zenon_H72 zenon_H7d zenon_H10e zenon_H54 zenon_Hf6 zenon_Hb0 zenon_H24 zenon_H135 zenon_Hde zenon_H35 zenon_Hab zenon_Hd3 zenon_H2c zenon_H1c zenon_Hda zenon_H288 zenon_H3c5 zenon_H14e zenon_H210.
% 51.40/51.56 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H235 ].
% 51.40/51.56 apply (zenon_L129_); trivial.
% 51.40/51.56 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H1a8 | zenon_intro zenon_H236 ].
% 51.40/51.56 apply (zenon_L243_); trivial.
% 51.40/51.56 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1c9 | zenon_intro zenon_H20f ].
% 51.40/51.56 apply (zenon_L621_); trivial.
% 51.40/51.56 apply (zenon_L154_); trivial.
% 51.40/51.56 (* end of lemma zenon_L622_ *)
% 51.40/51.56 assert (zenon_L623_ : (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((e21) = (e22))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((e10) = (e11))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((e11) = (e12))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((e10) = (e13))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e13))) -> (~((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 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((h4 (op1 (e12) (e11))) = (op2 (h4 (e12)) (h4 (e11))))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (((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))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> ((op2 (e22) (e20)) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((op2 (e23) (e20)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((e20) = (e23))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((e20) = (e22))) -> (~((e22) = (e23))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((e21) = (e23))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (~((e20) = (e21))) -> False).
% 51.40/51.56 do 0 intro. intros zenon_H3c5 zenon_H288 zenon_Hda zenon_H1c zenon_H2c zenon_Hd3 zenon_Hab zenon_H35 zenon_Hde zenon_H135 zenon_H24 zenon_Hb0 zenon_Hf6 zenon_H54 zenon_H10e zenon_H7d zenon_H72 zenon_Haf zenon_H8c zenon_H117 zenon_H105 zenon_Hfe zenon_H2b zenon_H10b zenon_H90 zenon_Hcb zenon_Hf0 zenon_Hec zenon_Hc2 zenon_Hf3 zenon_Hb5 zenon_H4b zenon_H42 zenon_H9e zenon_H12c zenon_He1 zenon_H3d zenon_H128 zenon_H125 zenon_H131 zenon_H123 zenon_H113 zenon_Hff zenon_Hf8 zenon_H45 zenon_H95 zenon_H65 zenon_Ha2 zenon_Hfb zenon_Hcf zenon_Hea zenon_Hc8 zenon_H136 zenon_Hb8 zenon_H19 zenon_H1b zenon_H33a zenon_H341 zenon_H2e1 zenon_H2ba zenon_H2c5 zenon_H2c9 zenon_H32a zenon_H2be zenon_H3b9 zenon_H2e0 zenon_H324 zenon_H2db zenon_H2ff zenon_H327 zenon_H3b3 zenon_H33e zenon_H3ad zenon_H2e7 zenon_H349 zenon_H2ce zenon_H2d1 zenon_H31b zenon_H31e zenon_H2d4 zenon_H314 zenon_H30d zenon_H311 zenon_H305 zenon_H318 zenon_H13b zenon_H195 zenon_H15e zenon_H3c2 zenon_H176 zenon_H1b1 zenon_H244 zenon_H245 zenon_H1cd zenon_H168 zenon_H205 zenon_H1fa zenon_H22f zenon_H18e zenon_H19b zenon_H175 zenon_H1e6 zenon_H1bd zenon_H1cc zenon_H1d7 zenon_H214 zenon_H1fd zenon_H16f zenon_H1ac zenon_H24e zenon_H187 zenon_H2b7 zenon_H1f3 zenon_H21b zenon_H217 zenon_H21f zenon_H1f7 zenon_H1ec zenon_H209 zenon_H14 zenon_H14e zenon_H210.
% 51.40/51.56 apply (zenon_or_s _ _ zenon_H214); [ zenon_intro zenon_H1fe | zenon_intro zenon_H215 ].
% 51.40/51.56 apply (zenon_L151_); trivial.
% 51.40/51.56 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H203 | zenon_intro zenon_H216 ].
% 51.40/51.56 apply (zenon_L622_); trivial.
% 51.40/51.56 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H208 | zenon_intro zenon_H20f ].
% 51.40/51.56 apply (zenon_L153_); trivial.
% 51.40/51.56 apply (zenon_L154_); trivial.
% 51.40/51.56 (* end of lemma zenon_L623_ *)
% 51.40/51.56 assert (zenon_L624_ : (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e20) (e21)) = (e23)) -> ((op2 (e22) (e21)) = (e23)) -> False).
% 51.40/51.56 do 0 intro. intros zenon_H3c8 zenon_H244 zenon_H3c9.
% 51.40/51.56 cut (((op2 (e20) (e21)) = (e23)) = ((op2 (e20) (e21)) = (op2 (e22) (e21)))).
% 51.40/51.56 intro zenon_D_pnotp.
% 51.40/51.56 apply zenon_H3c8.
% 51.40/51.56 rewrite <- zenon_D_pnotp.
% 51.40/51.56 exact zenon_H244.
% 51.40/51.56 cut (((e23) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H3ca].
% 51.40/51.56 cut (((op2 (e20) (e21)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H154].
% 51.40/51.56 congruence.
% 51.40/51.56 apply zenon_H154. apply refl_equal.
% 51.40/51.56 apply zenon_H3ca. apply sym_equal. exact zenon_H3c9.
% 51.40/51.56 (* end of lemma zenon_L624_ *)
% 51.40/51.56 assert (zenon_L625_ : ((op2 (e22) (e22)) = (e23)) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((e23) = (op2 (h4 (e12)) (h4 (e12))))) -> False).
% 51.40/51.56 do 0 intro. intros zenon_H3cb zenon_H349 zenon_H15e zenon_H3cc.
% 51.40/51.56 elim (classic ((op2 (h4 (e12)) (h4 (e12))) = (op2 (h4 (e12)) (h4 (e12))))); [ zenon_intro zenon_H3cd | zenon_intro zenon_H3ce ].
% 51.40/51.56 cut (((op2 (h4 (e12)) (h4 (e12))) = (op2 (h4 (e12)) (h4 (e12)))) = ((e23) = (op2 (h4 (e12)) (h4 (e12))))).
% 51.40/51.56 intro zenon_D_pnotp.
% 51.40/51.56 apply zenon_H3cc.
% 51.40/51.56 rewrite <- zenon_D_pnotp.
% 51.40/51.56 exact zenon_H3cd.
% 51.40/51.56 cut (((op2 (h4 (e12)) (h4 (e12))) = (op2 (h4 (e12)) (h4 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H3ce].
% 51.40/51.56 cut (((op2 (h4 (e12)) (h4 (e12))) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H3cf].
% 51.40/51.56 congruence.
% 51.40/51.56 cut (((op2 (e22) (e22)) = (e23)) = ((op2 (h4 (e12)) (h4 (e12))) = (e23))).
% 51.40/51.56 intro zenon_D_pnotp.
% 51.40/51.56 apply zenon_H3cf.
% 51.40/51.56 rewrite <- zenon_D_pnotp.
% 51.40/51.56 exact zenon_H3cb.
% 51.40/51.56 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H14c].
% 51.40/51.56 cut (((op2 (e22) (e22)) = (op2 (h4 (e12)) (h4 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H3d0].
% 51.40/51.56 congruence.
% 51.40/51.56 elim (classic ((op2 (h4 (e12)) (h4 (e12))) = (op2 (h4 (e12)) (h4 (e12))))); [ zenon_intro zenon_H3cd | zenon_intro zenon_H3ce ].
% 51.40/51.56 cut (((op2 (h4 (e12)) (h4 (e12))) = (op2 (h4 (e12)) (h4 (e12)))) = ((op2 (e22) (e22)) = (op2 (h4 (e12)) (h4 (e12))))).
% 51.40/51.56 intro zenon_D_pnotp.
% 51.40/51.56 apply zenon_H3d0.
% 51.40/51.56 rewrite <- zenon_D_pnotp.
% 51.40/51.56 exact zenon_H3cd.
% 51.40/51.56 cut (((op2 (h4 (e12)) (h4 (e12))) = (op2 (h4 (e12)) (h4 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H3ce].
% 51.40/51.56 cut (((op2 (h4 (e12)) (h4 (e12))) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H3d1].
% 51.40/51.56 congruence.
% 51.40/51.56 cut (((h4 (e12)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H348].
% 51.40/51.56 cut (((h4 (e12)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H348].
% 51.40/51.56 congruence.
% 51.40/51.56 apply (zenon_L487_); trivial.
% 51.40/51.56 apply (zenon_L487_); trivial.
% 51.40/51.56 apply zenon_H3ce. apply refl_equal.
% 51.40/51.56 apply zenon_H3ce. apply refl_equal.
% 51.40/51.56 apply zenon_H14c. apply refl_equal.
% 51.40/51.56 apply zenon_H3ce. apply refl_equal.
% 51.40/51.56 apply zenon_H3ce. apply refl_equal.
% 51.40/51.56 (* end of lemma zenon_L625_ *)
% 51.40/51.56 assert (zenon_L626_ : (~((h4 (op1 (e12) (e12))) = (op2 (h4 (e12)) (h4 (e12))))) -> ((h4 (e13)) = (e23)) -> ((op1 (e12) (e12)) = (e13)) -> ((op2 (e22) (e22)) = (e23)) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> False).
% 51.40/51.56 do 0 intro. intros zenon_H3d2 zenon_H2ea zenon_H3d3 zenon_H3cb zenon_H349 zenon_H15e.
% 51.40/51.56 cut (((h4 (e13)) = (e23)) = ((h4 (op1 (e12) (e12))) = (op2 (h4 (e12)) (h4 (e12))))).
% 51.40/51.56 intro zenon_D_pnotp.
% 51.40/51.56 apply zenon_H3d2.
% 51.40/51.56 rewrite <- zenon_D_pnotp.
% 51.40/51.56 exact zenon_H2ea.
% 51.40/51.56 cut (((e23) = (op2 (h4 (e12)) (h4 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H3cc].
% 51.40/51.56 cut (((h4 (e13)) = (h4 (op1 (e12) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H3d4].
% 51.40/51.56 congruence.
% 51.40/51.56 elim (classic ((h4 (op1 (e12) (e12))) = (h4 (op1 (e12) (e12))))); [ zenon_intro zenon_H3d5 | zenon_intro zenon_H3d6 ].
% 51.40/51.56 cut (((h4 (op1 (e12) (e12))) = (h4 (op1 (e12) (e12)))) = ((h4 (e13)) = (h4 (op1 (e12) (e12))))).
% 51.40/51.56 intro zenon_D_pnotp.
% 51.40/51.56 apply zenon_H3d4.
% 51.40/51.56 rewrite <- zenon_D_pnotp.
% 51.40/51.56 exact zenon_H3d5.
% 51.40/51.56 cut (((h4 (op1 (e12) (e12))) = (h4 (op1 (e12) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H3d6].
% 51.40/51.56 cut (((h4 (op1 (e12) (e12))) = (h4 (e13)))); [idtac | apply NNPP; zenon_intro zenon_H3d7].
% 51.40/51.56 congruence.
% 51.40/51.56 cut (((op1 (e12) (e12)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H3d8].
% 51.40/51.56 congruence.
% 51.40/51.56 exact (zenon_H3d8 zenon_H3d3).
% 51.40/51.56 apply zenon_H3d6. apply refl_equal.
% 51.40/51.56 apply zenon_H3d6. apply refl_equal.
% 51.40/51.56 apply (zenon_L625_); trivial.
% 51.40/51.56 (* end of lemma zenon_L626_ *)
% 51.40/51.56 assert (zenon_L627_ : (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e11) = (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e10)) = (e12)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> ((op1 (e11) (e13)) = (e10)) -> (~((e10) = (e13))) -> False).
% 51.40/51.56 do 0 intro. intros zenon_Hf8 zenon_H8c zenon_Hcf zenon_He1 zenon_Hea zenon_H9e zenon_H49 zenon_Hda zenon_H4b zenon_Hb5 zenon_H3d zenon_Hb8 zenon_Hc8 zenon_H46 zenon_H45 zenon_Hcb zenon_Hf0 zenon_He8 zenon_Hec zenon_H19 zenon_H1c zenon_Hc2 zenon_Hf3 zenon_H50 zenon_H42.
% 51.40/51.56 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H41 | zenon_intro zenon_Hf9 ].
% 51.40/51.56 apply (zenon_L360_); trivial.
% 51.40/51.56 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H47 | zenon_intro zenon_Hfa ].
% 51.40/51.56 apply (zenon_L13_); trivial.
% 51.40/51.56 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H51 ].
% 51.40/51.56 apply (zenon_L65_); trivial.
% 51.40/51.56 apply (zenon_L17_); trivial.
% 51.40/51.56 (* end of lemma zenon_L627_ *)
% 51.40/51.56 assert (zenon_L628_ : (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> ((op1 (e10) (e10)) = (e11)) -> ((op1 (e10) (e13)) = (e12)) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((op2 (e22) (e22)) = (e23)) -> ((h4 (e13)) = (e23)) -> (~((h4 (op1 (e12) (e12))) = (op2 (h4 (e12)) (h4 (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((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)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((e10) = (e11))) -> ((e11) = (op1 (e13) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e13))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (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 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((op1 (e10) (e11)) = (e13)) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((op1 (e13) (e10)) = (e12)) -> (~((e12) = (e13))) -> False).
% 51.40/51.56 do 0 intro. intros zenon_Hfb zenon_H3b zenon_H49 zenon_H318 zenon_H3d9 zenon_H2db zenon_H2ce zenon_H65 zenon_H72 zenon_H15e zenon_H349 zenon_H3cb zenon_H2ea zenon_H3d2 zenon_Haf zenon_H311 zenon_H123 zenon_H10e zenon_H95 zenon_H305 zenon_H2ff zenon_H2ba zenon_H1b zenon_H2d4 zenon_H30d zenon_H314 zenon_H2e0 zenon_H8c zenon_H19 zenon_H1c zenon_Hc2 zenon_H90 zenon_H35 zenon_Hda zenon_H2c zenon_Hd3 zenon_Hab zenon_Hcf zenon_H42 zenon_H7d zenon_H54 zenon_He1 zenon_H3d zenon_Hde zenon_Hb8 zenon_Hc8 zenon_Hf3 zenon_Hec zenon_Hf0 zenon_Hcb zenon_H45 zenon_H46 zenon_Hb5 zenon_H9e zenon_Hea zenon_Hb0 zenon_Hf8 zenon_He8 zenon_H4b.
% 51.40/51.56 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hfc ].
% 51.40/51.56 apply (zenon_L11_); trivial.
% 51.40/51.56 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H41 | zenon_intro zenon_Hfd ].
% 51.40/51.56 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H33 | zenon_intro zenon_H2e2 ].
% 51.40/51.56 apply (zenon_L12_); trivial.
% 51.40/51.56 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2e3 ].
% 51.40/51.56 apply (zenon_L283_); trivial.
% 51.40/51.56 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H126 | zenon_intro zenon_H50 ].
% 51.40/51.56 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H108 | zenon_intro zenon_H319 ].
% 51.40/51.56 apply (zenon_L328_); trivial.
% 51.40/51.56 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H30b | zenon_intro zenon_H31a ].
% 51.40/51.56 apply (zenon_or_s _ _ zenon_H314); [ zenon_intro zenon_H7c | zenon_intro zenon_H315 ].
% 51.40/51.56 apply (zenon_L341_); trivial.
% 51.40/51.56 apply (zenon_or_s _ _ zenon_H315); [ zenon_intro zenon_H2c8 | zenon_intro zenon_H316 ].
% 51.40/51.56 apply (zenon_L353_); trivial.
% 51.40/51.56 apply (zenon_or_s _ _ zenon_H316); [ zenon_intro zenon_H304 | zenon_intro zenon_Hd2 ].
% 51.40/51.56 apply (zenon_or_s _ _ zenon_H3d9); [ zenon_intro zenon_He6 | zenon_intro zenon_H3da ].
% 51.40/51.56 apply (zenon_L382_); trivial.
% 51.40/51.56 apply (zenon_or_s _ _ zenon_H3da); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H3db ].
% 51.40/51.56 apply (zenon_L65_); trivial.
% 51.40/51.56 apply (zenon_or_s _ _ zenon_H3db); [ zenon_intro zenon_H3d3 | zenon_intro zenon_Hcc ].
% 51.40/51.56 apply (zenon_L626_); trivial.
% 51.40/51.56 apply (zenon_L379_); trivial.
% 51.40/51.56 apply (zenon_L45_); trivial.
% 51.40/51.56 apply (zenon_or_s _ _ zenon_H31a); [ zenon_intro zenon_H129 | zenon_intro zenon_Ha5 ].
% 51.40/51.56 apply (zenon_L359_); trivial.
% 51.40/51.56 apply (zenon_L33_); trivial.
% 51.40/51.56 apply (zenon_L627_); trivial.
% 51.40/51.56 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_He2 | zenon_intro zenon_H66 ].
% 51.40/51.56 apply (zenon_L352_); trivial.
% 51.40/51.56 apply (zenon_L57_); trivial.
% 51.40/51.56 (* end of lemma zenon_L628_ *)
% 51.40/51.56 assert (zenon_L629_ : (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((h4 (op1 (e12) (e12))) = (op2 (h4 (e12)) (h4 (e12))))) -> ((h4 (e13)) = (e23)) -> ((op2 (e22) (e22)) = (e23)) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> ((op1 (e13) (e10)) = (e12)) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((op1 (e10) (e10)) = (e11)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((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))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e13))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((op1 (e10) (e10)) = (e10)) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> ((op1 (e10) (e13)) = (e12)) -> (~((e12) = (e13))) -> False).
% 51.40/51.56 do 0 intro. intros zenon_Hff zenon_H3d2 zenon_H2ea zenon_H3cb zenon_H349 zenon_H15e zenon_H3d9 zenon_He8 zenon_Hf8 zenon_Hb0 zenon_Hea zenon_H9e zenon_Hb5 zenon_H45 zenon_H2ba zenon_H3b zenon_H105 zenon_H1b zenon_H2d4 zenon_Hcb zenon_Hf0 zenon_Hec zenon_Hf3 zenon_Hc8 zenon_Hb8 zenon_Hcf zenon_H72 zenon_H65 zenon_H2ce zenon_H42 zenon_Hda zenon_H7d zenon_H54 zenon_He1 zenon_H3d zenon_Hde zenon_H35 zenon_Hab zenon_Hd3 zenon_H2c zenon_H90 zenon_Hc2 zenon_H1c zenon_H19 zenon_H8c zenon_H2e0 zenon_H314 zenon_H30d zenon_H2ff zenon_Haf zenon_H311 zenon_H123 zenon_H10e zenon_H95 zenon_H305 zenon_H2db zenon_H318 zenon_H23 zenon_Hfb zenon_H49 zenon_H4b.
% 51.40/51.56 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H3c | zenon_intro zenon_H102 ].
% 51.40/51.56 apply (zenon_L11_); trivial.
% 51.40/51.56 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_H46 | zenon_intro zenon_H103 ].
% 51.40/51.56 apply (zenon_L628_); trivial.
% 51.40/51.56 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_He6 | zenon_intro zenon_H4a ].
% 51.40/51.56 apply (zenon_L383_); trivial.
% 51.40/51.56 apply (zenon_L15_); trivial.
% 51.40/51.56 (* end of lemma zenon_L629_ *)
% 51.40/51.56 assert (zenon_L630_ : (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> ((op1 (e10) (e10)) = (e10)) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (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) (e10)) = (op1 (e10) (e11)))) -> ((op1 (e10) (e10)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((op2 (e22) (e22)) = (e23)) -> ((h4 (e13)) = (e23)) -> (~((h4 (op1 (e12) (e12))) = (op2 (h4 (e12)) (h4 (e12))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e10) = (e12))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((e11) = (op1 (e13) (e13))) -> (~((e11) = (e13))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e10)) = (e13)) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((e10) = (e13))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> False).
% 51.40/51.56 do 0 intro. intros zenon_H327 zenon_Hfb zenon_H23 zenon_H318 zenon_H2db zenon_H305 zenon_H10e zenon_H123 zenon_H311 zenon_Haf zenon_H2ff zenon_H30d zenon_H314 zenon_H2e0 zenon_H90 zenon_H54 zenon_H7d zenon_H2ce zenon_H65 zenon_H72 zenon_Hcf zenon_Hf3 zenon_Hec zenon_Hf0 zenon_Hcb zenon_H2d4 zenon_H1b zenon_H105 zenon_H3b zenon_H2ba zenon_H45 zenon_Hb0 zenon_Hf8 zenon_H3d9 zenon_H15e zenon_H349 zenon_H3cb zenon_H2ea zenon_H3d2 zenon_Hff zenon_H8c zenon_Hc2 zenon_H35 zenon_Hb8 zenon_Hc8 zenon_H19 zenon_H3d zenon_H49 zenon_H95 zenon_H41 zenon_H50 zenon_Hea zenon_H9e zenon_He1 zenon_H42 zenon_Hde zenon_H4b zenon_Hab zenon_Hd3 zenon_Hb5 zenon_H2c zenon_H1c zenon_Hda.
% 51.40/51.56 apply (zenon_or_s _ _ zenon_H327); [ zenon_intro zenon_He8 | zenon_intro zenon_H328 ].
% 51.40/51.56 apply (zenon_L629_); trivial.
% 51.40/51.56 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H2de | zenon_intro zenon_H329 ].
% 51.40/51.56 apply (zenon_L309_); trivial.
% 51.40/51.56 apply (zenon_or_s _ _ zenon_H329); [ zenon_intro zenon_Hf1 | zenon_intro zenon_Hd9 ].
% 51.40/51.56 apply (zenon_L338_); trivial.
% 51.40/51.56 apply (zenon_L46_); trivial.
% 51.40/51.56 (* end of lemma zenon_L630_ *)
% 51.40/51.56 assert (zenon_L631_ : (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((e12) = (e13))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((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))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e11) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((h4 (op1 (e12) (e12))) = (op2 (h4 (e12)) (h4 (e12))))) -> ((h4 (e13)) = (e23)) -> ((op2 (e22) (e22)) = (e23)) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((op1 (e10) (e13)) = (e12)) -> ((op1 (e10) (e10)) = (e11)) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e13) (e12)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e12) (e13)) = (e10)) -> ((op1 (e11) (e13)) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> False).
% 51.40/51.56 do 0 intro. intros zenon_H31b zenon_H113 zenon_H4b zenon_Hf8 zenon_Hb0 zenon_Hea zenon_H9e zenon_Hb5 zenon_H46 zenon_H45 zenon_Hcb zenon_Hf0 zenon_Hec zenon_Hf3 zenon_Hc8 zenon_Hb8 zenon_H3d zenon_H7d zenon_H42 zenon_Hcf zenon_H35 zenon_H90 zenon_Hc2 zenon_H19 zenon_H8c zenon_H2e0 zenon_H314 zenon_H30d zenon_H2d4 zenon_H1b zenon_H2ba zenon_H2ff zenon_H305 zenon_H95 zenon_H10e zenon_H123 zenon_H311 zenon_Haf zenon_H3d2 zenon_H2ea zenon_H3cb zenon_H349 zenon_H15e zenon_H72 zenon_H2ce zenon_H2db zenon_H3d9 zenon_H318 zenon_H49 zenon_H3b zenon_Hfb zenon_Hde zenon_Hcc zenon_H65 zenon_H62 zenon_H51 zenon_H54 zenon_He1 zenon_Hab zenon_Hd3 zenon_H2c zenon_H1c zenon_Hda.
% 51.40/51.57 apply (zenon_or_s _ _ zenon_H31b); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H31c ].
% 51.40/51.57 apply (zenon_L39_); trivial.
% 51.40/51.57 apply (zenon_or_s _ _ zenon_H31c); [ zenon_intro zenon_H114 | zenon_intro zenon_H31d ].
% 51.40/51.57 apply (zenon_L82_); trivial.
% 51.40/51.57 apply (zenon_or_s _ _ zenon_H31d); [ zenon_intro zenon_He8 | zenon_intro zenon_H66 ].
% 51.40/51.57 apply (zenon_L628_); trivial.
% 51.40/51.57 apply (zenon_L363_); trivial.
% 51.40/51.57 (* end of lemma zenon_L631_ *)
% 51.40/51.57 assert (zenon_L632_ : (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((e11) = (e12))) -> ((op1 (e10) (e10)) = (e10)) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((e12) = (e13))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((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))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e11) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((h4 (op1 (e12) (e12))) = (op2 (h4 (e12)) (h4 (e12))))) -> ((h4 (e13)) = (e23)) -> ((op2 (e22) (e22)) = (e23)) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((op1 (e10) (e13)) = (e12)) -> ((op1 (e10) (e10)) = (e11)) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e13) (e12)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e12) (e13)) = (e10)) -> ((op1 (e11) (e13)) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> False).
% 51.40/51.57 do 0 intro. intros zenon_H327 zenon_Hf6 zenon_H2b zenon_Hfe zenon_H10b zenon_H23 zenon_H2e1 zenon_Ha2 zenon_Hff zenon_H105 zenon_H117 zenon_H324 zenon_H24 zenon_H12c zenon_H128 zenon_H131 zenon_H31b zenon_H113 zenon_H4b zenon_Hf8 zenon_Hb0 zenon_Hea zenon_H9e zenon_Hb5 zenon_H45 zenon_Hcb zenon_Hf0 zenon_Hec zenon_Hf3 zenon_Hc8 zenon_Hb8 zenon_H3d zenon_H7d zenon_H42 zenon_Hcf zenon_H35 zenon_H90 zenon_Hc2 zenon_H19 zenon_H8c zenon_H2e0 zenon_H314 zenon_H30d zenon_H2d4 zenon_H1b zenon_H2ba zenon_H2ff zenon_H305 zenon_H95 zenon_H10e zenon_H123 zenon_H311 zenon_Haf zenon_H3d2 zenon_H2ea zenon_H3cb zenon_H349 zenon_H15e zenon_H72 zenon_H2ce zenon_H2db zenon_H3d9 zenon_H318 zenon_H49 zenon_H3b zenon_Hfb zenon_Hde zenon_Hcc zenon_H65 zenon_H62 zenon_H51 zenon_H54 zenon_He1 zenon_Hab zenon_Hd3 zenon_H2c zenon_H1c zenon_Hda.
% 51.40/51.57 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_H1d | zenon_intro zenon_H2d5 ].
% 51.40/51.57 apply (zenon_L4_); trivial.
% 51.40/51.57 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H104 | zenon_intro zenon_H2d6 ].
% 51.40/51.57 apply (zenon_L426_); trivial.
% 51.40/51.57 apply (zenon_or_s _ _ zenon_H2d6); [ zenon_intro zenon_H2bb | zenon_intro zenon_H46 ].
% 51.40/51.57 apply (zenon_L281_); trivial.
% 51.40/51.57 apply (zenon_L631_); trivial.
% 51.40/51.57 (* end of lemma zenon_L632_ *)
% 51.40/51.57 assert (zenon_L633_ : (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e12) (e13)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> ((op1 (e10) (e10)) = (e11)) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((op2 (e22) (e22)) = (e23)) -> ((h4 (e13)) = (e23)) -> (~((h4 (op1 (e12) (e12))) = (op2 (h4 (e12)) (h4 (e12))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((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)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (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 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> ((op1 (e10) (e10)) = (e10)) -> (~((e11) = (e12))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e12)) = (e13)) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((e11) = (e13))) -> ((e11) = (op1 (e13) (e13))) -> False).
% 51.40/51.57 do 0 intro. intros zenon_Hd3 zenon_H62 zenon_H65 zenon_Hde zenon_Hfb zenon_H3b zenon_H318 zenon_H3d9 zenon_H2db zenon_H2ce zenon_H72 zenon_H15e zenon_H349 zenon_H3cb zenon_H2ea zenon_H3d2 zenon_H311 zenon_H123 zenon_H10e zenon_H95 zenon_H305 zenon_H2ff zenon_H2ba zenon_H1b zenon_H2d4 zenon_H30d zenon_H314 zenon_H2e0 zenon_H8c zenon_Hc2 zenon_H90 zenon_H35 zenon_Hcf zenon_H42 zenon_H7d zenon_Hb8 zenon_Hc8 zenon_Hf3 zenon_Hec zenon_Hf0 zenon_Hcb zenon_H45 zenon_Hb5 zenon_Hf8 zenon_H4b zenon_H113 zenon_H31b zenon_H131 zenon_H128 zenon_H12c zenon_H24 zenon_H324 zenon_H117 zenon_H105 zenon_Hff zenon_Ha2 zenon_H2e1 zenon_H23 zenon_H10b zenon_Hfe zenon_H2b zenon_Hf6 zenon_H327 zenon_Haf zenon_H2c zenon_H1c zenon_Hab zenon_H54 zenon_He1 zenon_H41 zenon_Hea zenon_H9e zenon_Hcc zenon_H49 zenon_Hda zenon_Hb0 zenon_H3d zenon_H19.
% 51.40/51.57 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H4a | zenon_intro zenon_Hb6 ].
% 51.40/51.57 apply (zenon_L15_); trivial.
% 51.40/51.57 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H51 | zenon_intro zenon_Hb7 ].
% 51.40/51.57 apply (zenon_L632_); trivial.
% 51.40/51.57 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb3 ].
% 51.40/51.57 apply (zenon_L355_); trivial.
% 51.40/51.57 apply (zenon_L37_); trivial.
% 51.40/51.57 (* end of lemma zenon_L633_ *)
% 51.40/51.57 assert (zenon_L634_ : ((op1 (e10) (e12)) = (e13)) -> ((op1 (e13) (e11)) = (e10)) -> ((op1 (e11) (e12)) = (e10)) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((e11) = (e12))) -> ((op1 (e10) (e10)) = (e10)) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((e12) = (e13))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((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))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((h4 (op1 (e12) (e12))) = (op2 (h4 (e12)) (h4 (e12))))) -> ((h4 (e13)) = (e23)) -> ((op2 (e22) (e22)) = (e23)) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((op1 (e10) (e10)) = (e11)) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e12) (e13)) = (e10)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> ((e11) = (op1 (e13) (e13))) -> False).
% 51.40/51.57 do 0 intro. intros zenon_He6 zenon_Hbe zenon_H126 zenon_Hb0 zenon_Hda zenon_H49 zenon_H9e zenon_Hea zenon_H41 zenon_He1 zenon_H54 zenon_Hab zenon_H1c zenon_H2c zenon_Haf zenon_H327 zenon_Hf6 zenon_H2b zenon_Hfe zenon_H10b zenon_H23 zenon_H2e1 zenon_Ha2 zenon_Hff zenon_H105 zenon_H117 zenon_H324 zenon_H24 zenon_H12c zenon_H128 zenon_H131 zenon_H31b zenon_H113 zenon_H4b zenon_Hf8 zenon_Hb5 zenon_H45 zenon_Hcb zenon_Hf0 zenon_Hec zenon_Hf3 zenon_Hc8 zenon_Hb8 zenon_H7d zenon_H42 zenon_Hcf zenon_H35 zenon_H90 zenon_Hc2 zenon_H8c zenon_H2e0 zenon_H314 zenon_H30d zenon_H2d4 zenon_H1b zenon_H2ba zenon_H2ff zenon_H305 zenon_H95 zenon_H10e zenon_H123 zenon_H311 zenon_H3d2 zenon_H2ea zenon_H3cb zenon_H349 zenon_H15e zenon_H72 zenon_H2ce zenon_H2db zenon_H3d9 zenon_H318 zenon_H3b zenon_Hfb zenon_Hde zenon_H65 zenon_H62 zenon_Hd3 zenon_H3d zenon_H19.
% 51.40/51.57 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H66 | zenon_intro zenon_Hd0 ].
% 51.40/51.57 apply (zenon_L304_); trivial.
% 51.40/51.57 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hd1 ].
% 51.40/51.57 apply (zenon_L42_); trivial.
% 51.40/51.57 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hb3 ].
% 51.40/51.57 apply (zenon_L633_); trivial.
% 51.40/51.57 apply (zenon_L37_); trivial.
% 51.40/51.57 (* end of lemma zenon_L634_ *)
% 51.40/51.57 assert (zenon_L635_ : (~((e11) = (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> ((op1 (e10) (e10)) = (e11)) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((op2 (e22) (e22)) = (e23)) -> ((h4 (e13)) = (e23)) -> (~((h4 (op1 (e12) (e12))) = (op2 (h4 (e12)) (h4 (e12))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((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)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (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 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> ((op1 (e10) (e10)) = (e10)) -> (~((e11) = (e12))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> ((op1 (e11) (e12)) = (e10)) -> ((op1 (e13) (e11)) = (e10)) -> ((op1 (e10) (e12)) = (e13)) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> False).
% 51.40/51.57 do 0 intro. intros zenon_H3d zenon_Hd3 zenon_H65 zenon_Hde zenon_Hfb zenon_H3b zenon_H318 zenon_H3d9 zenon_H2db zenon_H2ce zenon_H72 zenon_H15e zenon_H349 zenon_H3cb zenon_H2ea zenon_H3d2 zenon_H311 zenon_H123 zenon_H10e zenon_H95 zenon_H305 zenon_H2ff zenon_H2ba zenon_H1b zenon_H2d4 zenon_H30d zenon_H314 zenon_H2e0 zenon_Hc2 zenon_H90 zenon_H35 zenon_Hcf zenon_H42 zenon_H7d zenon_Hb8 zenon_Hc8 zenon_Hf3 zenon_Hec zenon_Hf0 zenon_Hcb zenon_H45 zenon_Hb5 zenon_Hf8 zenon_H4b zenon_H113 zenon_H31b zenon_H131 zenon_H128 zenon_H12c zenon_H24 zenon_H324 zenon_H117 zenon_H105 zenon_Hff zenon_Ha2 zenon_H2e1 zenon_H23 zenon_H10b zenon_Hfe zenon_H2b zenon_Hf6 zenon_H327 zenon_Haf zenon_H2c zenon_H1c zenon_Hab zenon_H54 zenon_He1 zenon_H41 zenon_Hea zenon_H9e zenon_H49 zenon_Hda zenon_Hb0 zenon_H126 zenon_Hbe zenon_He6 zenon_H19 zenon_H8c.
% 51.40/51.57 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H4e | zenon_intro zenon_H91 ].
% 51.40/51.57 apply (zenon_L47_); trivial.
% 51.40/51.57 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H50 | zenon_intro zenon_H92 ].
% 51.40/51.57 apply (zenon_L630_); trivial.
% 51.40/51.57 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H62 | zenon_intro zenon_H8b ].
% 51.40/51.57 apply (zenon_L634_); trivial.
% 51.40/51.57 apply (zenon_L24_); trivial.
% 51.40/51.57 (* end of lemma zenon_L635_ *)
% 51.40/51.57 assert (zenon_L636_ : (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e10) (e13)) = (e12)) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e12))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((h4 (op1 (e12) (e12))) = (op2 (h4 (e12)) (h4 (e12))))) -> ((h4 (e13)) = (e23)) -> ((op2 (e22) (e22)) = (e23)) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((op1 (e10) (e10)) = (e10)) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((op1 (e10) (e10)) = (e11)) -> (~((op1 (e10) (e10)) = (op1 (e10) (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) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((op1 (e13) (e11)) = (e10)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e13))) -> ((e11) = (op1 (e13) (e13))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e11) (e13)) = (e10)) -> (~((e10) = (e13))) -> False).
% 51.40/51.57 do 0 intro. intros zenon_He1 zenon_Hea zenon_H49 zenon_Hc8 zenon_Hb8 zenon_H35 zenon_Hc2 zenon_H8c zenon_Hff zenon_H3d2 zenon_H2ea zenon_H3cb zenon_H349 zenon_H15e zenon_H3d9 zenon_Hf8 zenon_Hb0 zenon_Hf0 zenon_Hec zenon_Hf3 zenon_H72 zenon_H2ce zenon_H7d zenon_H54 zenon_H90 zenon_H2e0 zenon_H314 zenon_H30d zenon_H2ff zenon_Haf zenon_H311 zenon_H123 zenon_H10e zenon_H305 zenon_H2db zenon_H318 zenon_H23 zenon_Hfb zenon_H327 zenon_H45 zenon_H2ba zenon_H3b zenon_H105 zenon_H1b zenon_H2d4 zenon_Hda zenon_H1c zenon_H2c zenon_Hd3 zenon_Hab zenon_Hcf zenon_H95 zenon_H65 zenon_H9e zenon_Ha2 zenon_H4b zenon_Hb5 zenon_Hbe zenon_Hcb zenon_H3d zenon_H19 zenon_Hde zenon_H50 zenon_H42.
% 51.40/51.57 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H41 | zenon_intro zenon_Hf9 ].
% 51.40/51.57 apply (zenon_L630_); trivial.
% 51.40/51.57 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H47 | zenon_intro zenon_Hfa ].
% 51.40/51.57 apply (zenon_L299_); trivial.
% 51.40/51.57 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H51 ].
% 51.40/51.57 apply (zenon_L287_); trivial.
% 51.40/51.57 apply (zenon_L17_); trivial.
% 51.40/51.57 (* end of lemma zenon_L636_ *)
% 51.40/51.57 assert (zenon_L637_ : ((op1 (e11) (e12)) = (e10)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((h4 (op1 (e12) (e12))) = (op2 (h4 (e12)) (h4 (e12))))) -> ((h4 (e13)) = (e23)) -> ((op2 (e22) (e22)) = (e23)) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((op1 (e10) (e10)) = (e10)) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((op1 (e10) (e10)) = (e11)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e12) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e11)) = (e10)) -> (~((e10) = (e13))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> False).
% 51.40/51.57 do 0 intro. intros zenon_H126 zenon_H2db zenon_Hc2 zenon_Hb8 zenon_Hc8 zenon_Hea zenon_Hff zenon_H3d2 zenon_H2ea zenon_H3cb zenon_H349 zenon_H15e zenon_H3d9 zenon_Hf8 zenon_Hf0 zenon_Hec zenon_Hf3 zenon_H2e0 zenon_H314 zenon_H30d zenon_H2ff zenon_H311 zenon_H123 zenon_H10e zenon_H305 zenon_H318 zenon_H23 zenon_Hfb zenon_H327 zenon_H45 zenon_H2ba zenon_H3b zenon_H105 zenon_H1b zenon_H2d4 zenon_Hb0 zenon_Ha2 zenon_H9e zenon_H95 zenon_Haf zenon_H4b zenon_Hb5 zenon_Hcb zenon_H90 zenon_H1c zenon_H2c zenon_Hd3 zenon_Hab zenon_H35 zenon_Hde zenon_H3d zenon_He1 zenon_H54 zenon_He2 zenon_H7d zenon_H49 zenon_Hda zenon_Hbe zenon_H42 zenon_H2ce zenon_He6 zenon_H65 zenon_H72 zenon_Hcf zenon_H19 zenon_H8c.
% 51.40/51.57 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H41 | zenon_intro zenon_Hf9 ].
% 51.40/51.57 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H4e | zenon_intro zenon_H91 ].
% 51.40/51.57 apply (zenon_L47_); trivial.
% 51.40/51.57 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H50 | zenon_intro zenon_H92 ].
% 51.40/51.57 apply (zenon_L636_); trivial.
% 51.40/51.57 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H62 | zenon_intro zenon_H8b ].
% 51.40/51.57 apply (zenon_L374_); trivial.
% 51.40/51.57 apply (zenon_L24_); trivial.
% 51.40/51.57 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H47 | zenon_intro zenon_Hfa ].
% 51.40/51.57 apply (zenon_L299_); trivial.
% 51.40/51.57 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H51 ].
% 51.40/51.57 apply (zenon_L294_); trivial.
% 51.40/51.57 apply (zenon_L319_); trivial.
% 51.40/51.57 (* end of lemma zenon_L637_ *)
% 51.40/51.57 assert (zenon_L638_ : (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((h4 (op1 (e12) (e12))) = (op2 (h4 (e12)) (h4 (e12))))) -> ((h4 (e13)) = (e23)) -> ((op2 (e22) (e22)) = (e23)) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((op1 (e10) (e10)) = (e10)) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((op1 (e10) (e10)) = (e11)) -> (~((op1 (e10) (e10)) = (op1 (e10) (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) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e12) (e10)) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e13))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> False).
% 51.40/51.57 do 0 intro. intros zenon_Hea zenon_Hff zenon_H3d2 zenon_H2ea zenon_H3cb zenon_H349 zenon_H15e zenon_H3d9 zenon_Hf8 zenon_Hb0 zenon_Hf0 zenon_Hec zenon_Hf3 zenon_H2e0 zenon_H314 zenon_H30d zenon_H2ff zenon_Haf zenon_H311 zenon_H123 zenon_H10e zenon_H305 zenon_H2db zenon_H318 zenon_H23 zenon_Hfb zenon_H327 zenon_H45 zenon_H2ba zenon_H3b zenon_H105 zenon_H1b zenon_H2d4 zenon_H95 zenon_H9e zenon_Ha2 zenon_H4b zenon_Hb5 zenon_Hcb zenon_Hc8 zenon_Hb8 zenon_Hcf zenon_H72 zenon_H65 zenon_He6 zenon_H2ce zenon_H42 zenon_Hda zenon_H49 zenon_H7d zenon_He2 zenon_H54 zenon_He1 zenon_H3d zenon_Hde zenon_H35 zenon_Hab zenon_Hd3 zenon_H2c zenon_H90 zenon_Hc2 zenon_H1c zenon_H19 zenon_H8c.
% 51.40/51.57 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H33 | zenon_intro zenon_H2e2 ].
% 51.40/51.57 apply (zenon_L370_); trivial.
% 51.40/51.57 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2e3 ].
% 51.40/51.57 apply (zenon_L283_); trivial.
% 51.40/51.57 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H126 | zenon_intro zenon_H50 ].
% 51.40/51.57 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hc9 ].
% 51.40/51.57 apply (zenon_L39_); trivial.
% 51.40/51.57 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hca ].
% 51.40/51.57 apply (zenon_L637_); trivial.
% 51.40/51.57 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H8b ].
% 51.40/51.57 apply (zenon_L41_); trivial.
% 51.40/51.57 apply (zenon_L24_); trivial.
% 51.40/51.57 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H41 | zenon_intro zenon_Hf9 ].
% 51.40/51.57 apply (zenon_L630_); trivial.
% 51.40/51.57 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H47 | zenon_intro zenon_Hfa ].
% 51.40/51.57 apply (zenon_L299_); trivial.
% 51.40/51.57 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H51 ].
% 51.40/51.57 apply (zenon_L549_); trivial.
% 51.40/51.57 apply (zenon_L320_); trivial.
% 51.40/51.57 (* end of lemma zenon_L638_ *)
% 51.40/51.57 assert (zenon_L639_ : (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((e11) = (e12))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((h4 (op1 (e12) (e12))) = (op2 (h4 (e12)) (h4 (e12))))) -> ((h4 (e13)) = (e23)) -> ((op2 (e22) (e22)) = (e23)) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((op1 (e10) (e10)) = (e10)) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((op1 (e10) (e10)) = (e11)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e12))) -> (~((e10) = (e13))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> False).
% 51.40/51.57 do 0 intro. intros zenon_H2b zenon_Hfe zenon_H10b zenon_H2e1 zenon_H117 zenon_H324 zenon_H24 zenon_H12c zenon_H128 zenon_H131 zenon_H31b zenon_H113 zenon_Hf6 zenon_He1 zenon_Hea zenon_Hff zenon_H3d2 zenon_H2ea zenon_H3cb zenon_H349 zenon_H15e zenon_H3d9 zenon_Hf8 zenon_Hb0 zenon_Hf0 zenon_Hec zenon_Hf3 zenon_H7d zenon_H2e0 zenon_H314 zenon_H30d zenon_H2ff zenon_Haf zenon_H311 zenon_H123 zenon_H10e zenon_H305 zenon_H2db zenon_H318 zenon_H23 zenon_Hfb zenon_H327 zenon_H45 zenon_H2ba zenon_H3b zenon_H105 zenon_H1b zenon_H2d4 zenon_H1c zenon_Hc2 zenon_Hde zenon_H3d zenon_Hcb zenon_Hb5 zenon_H4b zenon_Ha2 zenon_H9e zenon_H95 zenon_Hcf zenon_Hab zenon_Hd3 zenon_H2c zenon_Hda zenon_Hb8 zenon_Hc8 zenon_H90 zenon_H35 zenon_H42 zenon_H72 zenon_H65 zenon_H54 zenon_H49 zenon_He6 zenon_H2ce zenon_H19 zenon_H8c.
% 51.40/51.57 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hfc ].
% 51.40/51.57 apply (zenon_L317_); trivial.
% 51.40/51.57 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H41 | zenon_intro zenon_Hfd ].
% 51.40/51.57 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H33 | zenon_intro zenon_H2e2 ].
% 51.40/51.57 apply (zenon_L12_); trivial.
% 51.40/51.57 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2e3 ].
% 51.40/51.57 apply (zenon_L283_); trivial.
% 51.40/51.57 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H126 | zenon_intro zenon_H50 ].
% 51.40/51.57 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hc9 ].
% 51.40/51.57 apply (zenon_L39_); trivial.
% 51.40/51.57 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hca ].
% 51.40/51.57 apply (zenon_L635_); trivial.
% 51.40/51.57 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H8b ].
% 51.40/51.57 apply (zenon_L41_); trivial.
% 51.40/51.57 apply (zenon_L24_); trivial.
% 51.40/51.57 apply (zenon_L630_); trivial.
% 51.40/51.57 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_He2 | zenon_intro zenon_H66 ].
% 51.40/51.57 apply (zenon_L638_); trivial.
% 51.40/51.57 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H33 | zenon_intro zenon_H2e2 ].
% 51.40/51.57 apply (zenon_L322_); trivial.
% 51.40/51.57 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2e3 ].
% 51.40/51.57 apply (zenon_L283_); trivial.
% 51.40/51.57 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H126 | zenon_intro zenon_H50 ].
% 51.40/51.57 apply (zenon_L324_); trivial.
% 51.40/51.57 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H41 | zenon_intro zenon_Hf9 ].
% 51.40/51.57 apply (zenon_L630_); trivial.
% 51.40/51.57 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H47 | zenon_intro zenon_Hfa ].
% 51.40/51.57 apply (zenon_L299_); trivial.
% 51.40/51.57 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H51 ].
% 51.40/51.57 apply (zenon_L288_); trivial.
% 51.40/51.57 apply (zenon_L321_); trivial.
% 51.40/51.57 (* end of lemma zenon_L639_ *)
% 51.40/51.57 assert (zenon_L640_ : ((op1 (e11) (e10)) = (e12)) -> ((op1 (e10) (e11)) = (e13)) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (e10) (e10)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> ((op1 (e10) (e10)) = (e10)) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((e11) = (e12))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e12) (e11)) = (e12)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e11) (e12)) = (e10)) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e13))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((op2 (e22) (e22)) = (e23)) -> ((h4 (e13)) = (e23)) -> (~((h4 (op1 (e12) (e12))) = (op2 (h4 (e12)) (h4 (e12))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e12))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e12) (e10)) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> False).
% 51.40/51.57 do 0 intro. intros zenon_H34 zenon_H46 zenon_H2d4 zenon_H1b zenon_H105 zenon_H3b zenon_H2ba zenon_H45 zenon_H327 zenon_Hfb zenon_H23 zenon_H318 zenon_H2db zenon_H305 zenon_H10e zenon_H123 zenon_H311 zenon_H2ff zenon_H30d zenon_H314 zenon_H2e0 zenon_Hf3 zenon_Hec zenon_Hf0 zenon_Hf8 zenon_H3d9 zenon_Hff zenon_Hea zenon_Hf6 zenon_H113 zenon_H31b zenon_H131 zenon_H128 zenon_H12c zenon_H24 zenon_H324 zenon_H117 zenon_H2e1 zenon_H10b zenon_Hfe zenon_H2b zenon_Hd3 zenon_Hde zenon_Hb5 zenon_H4b zenon_H72 zenon_H2ce zenon_Haf zenon_H2c zenon_Hab zenon_H95 zenon_H65 zenon_H9e zenon_Ha2 zenon_Hb0 zenon_Hcf zenon_H2be zenon_H2c9 zenon_H2c8 zenon_H125 zenon_H126 zenon_H2d1 zenon_H1c zenon_Hc2 zenon_Hb8 zenon_Hc8 zenon_Hcb zenon_H3d zenon_H15e zenon_H349 zenon_H3cb zenon_H2ea zenon_H3d2 zenon_H90 zenon_H35 zenon_H42 zenon_Hda zenon_H49 zenon_H7d zenon_He2 zenon_H54 zenon_He1 zenon_H19 zenon_H8c.
% 51.40/51.57 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H41 | zenon_intro zenon_Hf9 ].
% 51.40/51.57 apply (zenon_L86_); trivial.
% 51.40/51.57 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H47 | zenon_intro zenon_Hfa ].
% 51.40/51.57 apply (zenon_L13_); trivial.
% 51.40/51.57 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H51 ].
% 51.40/51.57 apply (zenon_L298_); trivial.
% 51.40/51.57 apply (zenon_or_s _ _ zenon_H3d9); [ zenon_intro zenon_He6 | zenon_intro zenon_H3da ].
% 51.40/51.57 apply (zenon_L639_); trivial.
% 51.40/51.57 apply (zenon_or_s _ _ zenon_H3da); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H3db ].
% 51.40/51.57 apply (zenon_L298_); trivial.
% 51.40/51.57 apply (zenon_or_s _ _ zenon_H3db); [ zenon_intro zenon_H3d3 | zenon_intro zenon_Hcc ].
% 51.40/51.57 apply (zenon_L626_); trivial.
% 51.40/51.57 apply (zenon_L52_); trivial.
% 51.40/51.57 (* end of lemma zenon_L640_ *)
% 51.40/51.57 assert (zenon_L641_ : (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((e10) = (e12))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((h4 (op1 (e12) (e12))) = (op2 (h4 (e12)) (h4 (e12))))) -> ((h4 (e13)) = (e23)) -> ((op2 (e22) (e22)) = (e23)) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((op1 (e10) (e10)) = (e11)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((op1 (e10) (e10)) = (e10)) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((e10) = (e11))) -> ((e11) = (op1 (e13) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op1 (e11) (e13)) = (e10)) -> (~((e10) = (e13))) -> False).
% 51.40/51.57 do 0 intro. intros zenon_Hda zenon_H2c zenon_Hd3 zenon_Hab zenon_Hde zenon_He1 zenon_Hea zenon_H35 zenon_Hff zenon_H3d2 zenon_H2ea zenon_H3cb zenon_H349 zenon_H15e zenon_H3d9 zenon_Hf8 zenon_Hb0 zenon_H2ba zenon_H3b zenon_H105 zenon_H1b zenon_H2d4 zenon_Hf0 zenon_Hec zenon_Hf3 zenon_H72 zenon_H2ce zenon_H7d zenon_H54 zenon_H90 zenon_H2e0 zenon_H314 zenon_H30d zenon_H2ff zenon_Haf zenon_H311 zenon_H123 zenon_H10e zenon_H305 zenon_H2db zenon_H318 zenon_H23 zenon_Hfb zenon_H327 zenon_H46 zenon_H45 zenon_H8c zenon_H19 zenon_H1c zenon_Hc2 zenon_Hcf zenon_H49 zenon_H95 zenon_H65 zenon_H9e zenon_Ha2 zenon_H4b zenon_Hb5 zenon_Hcb zenon_H3d zenon_Hb8 zenon_Hc8 zenon_H50 zenon_H42.
% 51.40/51.57 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H41 | zenon_intro zenon_Hf9 ].
% 51.40/51.57 apply (zenon_L630_); trivial.
% 51.40/51.57 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H47 | zenon_intro zenon_Hfa ].
% 51.40/51.57 apply (zenon_L13_); trivial.
% 51.40/51.57 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H51 ].
% 51.40/51.57 apply (zenon_L549_); trivial.
% 51.40/51.57 apply (zenon_L17_); trivial.
% 51.40/51.57 (* end of lemma zenon_L641_ *)
% 51.40/51.57 assert (zenon_L642_ : (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((op1 (e11) (e10)) = (e12)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((op1 (e10) (e10)) = (e11)) -> (~((op1 (e10) (e10)) = (op1 (e10) (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))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((op1 (e11) (e12)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e12) (e11)) = (e12)) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e13))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((op2 (e22) (e22)) = (e23)) -> ((h4 (e13)) = (e23)) -> (~((h4 (op1 (e12) (e12))) = (op2 (h4 (e12)) (h4 (e12))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e12))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> False).
% 51.40/51.57 do 0 intro. intros zenon_Hf8 zenon_H34 zenon_H45 zenon_H2ba zenon_H3b zenon_H105 zenon_H1b zenon_H2d4 zenon_H3d9 zenon_H2d1 zenon_H126 zenon_H125 zenon_H2c8 zenon_H2c9 zenon_H2be zenon_Hc8 zenon_Hb8 zenon_Hcf zenon_Hb0 zenon_Ha2 zenon_H9e zenon_H95 zenon_H49 zenon_Haf zenon_H2ce zenon_H72 zenon_H4b zenon_Hb5 zenon_Hcb zenon_H3d zenon_Hc2 zenon_H15e zenon_H349 zenon_H3cb zenon_H2ea zenon_H3d2 zenon_H90 zenon_H35 zenon_H42 zenon_Hda zenon_H1c zenon_H2c zenon_Hd3 zenon_Hab zenon_He1 zenon_H54 zenon_H66 zenon_H65 zenon_Hde zenon_H19 zenon_H8c.
% 51.40/51.57 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H41 | zenon_intro zenon_Hf9 ].
% 51.40/51.57 apply (zenon_L86_); trivial.
% 51.40/51.57 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H47 | zenon_intro zenon_Hfa ].
% 51.40/51.57 apply (zenon_L299_); trivial.
% 51.40/51.57 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H51 ].
% 51.40/51.57 apply (zenon_L311_); trivial.
% 51.40/51.57 apply (zenon_or_s _ _ zenon_H3d9); [ zenon_intro zenon_He6 | zenon_intro zenon_H3da ].
% 51.40/51.57 apply (zenon_L321_); trivial.
% 51.40/51.57 apply (zenon_or_s _ _ zenon_H3da); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H3db ].
% 51.40/51.57 apply (zenon_L311_); trivial.
% 51.40/51.57 apply (zenon_or_s _ _ zenon_H3db); [ zenon_intro zenon_H3d3 | zenon_intro zenon_Hcc ].
% 51.40/51.57 apply (zenon_L626_); trivial.
% 51.40/51.57 apply (zenon_L364_); trivial.
% 51.40/51.57 (* end of lemma zenon_L642_ *)
% 51.40/51.57 assert (zenon_L643_ : (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e11) (e12)) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((e10) = (e12))) -> ((op1 (e13) (e11)) = (e10)) -> ((op1 (e11) (e11)) = (e12)) -> ((op1 (e12) (e10)) = (e12)) -> ((op1 (e10) (e13)) = (e12)) -> ((op1 (e10) (e12)) = (e12)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> False).
% 51.40/51.57 do 0 intro. intros zenon_H327 zenon_Ha3 zenon_Hcb zenon_Hf0 zenon_Hec zenon_H19 zenon_Hc2 zenon_Hf3 zenon_H35 zenon_Hbe zenon_H2c6 zenon_H7c zenon_H49 zenon_H2bf zenon_H33a zenon_H2c zenon_H1c zenon_Hda.
% 51.40/51.57 apply (zenon_or_s _ _ zenon_H327); [ zenon_intro zenon_He8 | zenon_intro zenon_H328 ].
% 51.40/51.57 apply (zenon_L65_); trivial.
% 51.40/51.57 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H2de | zenon_intro zenon_H329 ].
% 51.40/51.57 apply (zenon_L308_); trivial.
% 51.40/51.57 apply (zenon_or_s _ _ zenon_H329); [ zenon_intro zenon_Hf1 | zenon_intro zenon_Hd9 ].
% 51.40/51.57 apply (zenon_L445_); trivial.
% 51.40/51.57 apply (zenon_L46_); trivial.
% 51.40/51.57 (* end of lemma zenon_L643_ *)
% 51.40/51.57 assert (zenon_L644_ : (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e12))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> ((op1 (e13) (e12)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e13) (e10)) = (e13)) -> ((op1 (e11) (e13)) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> False).
% 51.40/51.57 do 0 intro. intros zenon_H90 zenon_H35 zenon_H42 zenon_Hda zenon_H49 zenon_Hcc zenon_H65 zenon_H66 zenon_H51 zenon_H54 zenon_He1 zenon_H19 zenon_H8c.
% 51.40/51.57 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H4e | zenon_intro zenon_H91 ].
% 51.40/51.57 apply (zenon_L16_); trivial.
% 51.40/51.57 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H50 | zenon_intro zenon_H92 ].
% 51.40/51.57 apply (zenon_L17_); trivial.
% 51.40/51.57 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H62 | zenon_intro zenon_H8b ].
% 51.40/51.57 apply (zenon_L362_); trivial.
% 51.40/51.57 apply (zenon_L24_); trivial.
% 51.40/51.57 (* end of lemma zenon_L644_ *)
% 51.40/51.57 assert (zenon_L645_ : (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((e11) = (e13))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e10) (e11)) = (e13)) -> ((op1 (e10) (e12)) = (e11)) -> ((op1 (e12) (e12)) = (e11)) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> ((op1 (e11) (e10)) = (e10)) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((op2 (e22) (e22)) = (e23)) -> ((h4 (e13)) = (e23)) -> (~((h4 (op1 (e12) (e12))) = (op2 (h4 (e12)) (h4 (e12))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e12))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e13) (e10)) = (e13)) -> ((op1 (e11) (e13)) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> False).
% 51.40/51.57 do 0 intro. intros zenon_H3d9 zenon_H3d zenon_H2ce zenon_H46 zenon_H11a zenon_H335 zenon_Ha2 zenon_Hf6 zenon_H33 zenon_H15e zenon_H349 zenon_H3cb zenon_H2ea zenon_H3d2 zenon_H90 zenon_H35 zenon_H42 zenon_Hda zenon_H49 zenon_H65 zenon_H66 zenon_H51 zenon_H54 zenon_He1 zenon_H19 zenon_H8c.
% 51.40/51.57 apply (zenon_or_s _ _ zenon_H3d9); [ zenon_intro zenon_He6 | zenon_intro zenon_H3da ].
% 51.40/51.57 apply (zenon_L427_); trivial.
% 51.40/51.57 apply (zenon_or_s _ _ zenon_H3da); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H3db ].
% 51.40/51.57 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H4e | zenon_intro zenon_H91 ].
% 51.40/51.57 apply (zenon_L16_); trivial.
% 51.40/51.57 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H50 | zenon_intro zenon_H92 ].
% 51.40/51.57 apply (zenon_L66_); trivial.
% 51.40/51.57 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H62 | zenon_intro zenon_H8b ].
% 51.40/51.57 apply (zenon_L458_); trivial.
% 51.40/51.57 apply (zenon_L24_); trivial.
% 51.40/51.57 apply (zenon_or_s _ _ zenon_H3db); [ zenon_intro zenon_H3d3 | zenon_intro zenon_Hcc ].
% 51.40/51.57 apply (zenon_L626_); trivial.
% 51.40/51.57 apply (zenon_L644_); trivial.
% 51.40/51.57 (* end of lemma zenon_L645_ *)
% 51.40/51.57 assert (zenon_L646_ : (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e11))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e13))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((h4 (op1 (e12) (e12))) = (op2 (h4 (e12)) (h4 (e12))))) -> ((h4 (e13)) = (e23)) -> ((op2 (e22) (e22)) = (e23)) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((op1 (e11) (e10)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> ((op1 (e12) (e12)) = (e11)) -> ((op1 (e10) (e12)) = (e11)) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (e13) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> ((op1 (e11) (e12)) = (e13)) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((e11) = (e13))) -> ((e11) = (op1 (e13) (e13))) -> False).
% 51.40/51.57 do 0 intro. intros zenon_Hb5 zenon_Hd3 zenon_H4b zenon_Hde zenon_H8c zenon_He1 zenon_Hda zenon_H42 zenon_H35 zenon_H90 zenon_H3d2 zenon_H2ea zenon_H3cb zenon_H349 zenon_H15e zenon_H33 zenon_Hf6 zenon_H335 zenon_H11a zenon_H46 zenon_H2ce zenon_H3d9 zenon_Haf zenon_H2c zenon_H1c zenon_Hab zenon_H54 zenon_H49 zenon_H95 zenon_H66 zenon_H65 zenon_H9e zenon_Ha2 zenon_Ha3 zenon_Hb0 zenon_H3d zenon_H19.
% 51.40/51.57 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H4a | zenon_intro zenon_Hb6 ].
% 51.40/51.57 apply (zenon_L335_); trivial.
% 51.40/51.57 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H51 | zenon_intro zenon_Hb7 ].
% 51.40/51.57 apply (zenon_L645_); trivial.
% 51.40/51.57 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb3 ].
% 51.40/51.57 apply (zenon_L36_); trivial.
% 51.40/51.57 apply (zenon_L37_); trivial.
% 51.40/51.57 (* end of lemma zenon_L646_ *)
% 51.40/51.57 assert (zenon_L647_ : (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> ((op1 (e12) (e13)) = (e10)) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e11) (e11)) = (e11)) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (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 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e11) = (e13))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> ((op1 (e11) (e12)) = (e13)) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e13) (e10)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e10) (e11)) = (e13)) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> ((op1 (e11) (e10)) = (e10)) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((op2 (e22) (e22)) = (e23)) -> ((h4 (e13)) = (e23)) -> (~((h4 (op1 (e12) (e12))) = (op2 (h4 (e12)) (h4 (e12))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e12))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> False).
% 51.40/51.57 do 0 intro. intros zenon_H33e zenon_Hcf zenon_H10e zenon_H10b zenon_H2b zenon_Hfe zenon_H62 zenon_H2c9 zenon_H30b zenon_Hc8 zenon_Hb8 zenon_Hc2 zenon_Hf3 zenon_Hec zenon_Hf0 zenon_Hcb zenon_H327 zenon_H3d zenon_Hb0 zenon_Ha3 zenon_Ha2 zenon_H65 zenon_H66 zenon_H95 zenon_H49 zenon_H54 zenon_Hab zenon_H1c zenon_H2c zenon_Haf zenon_H3d9 zenon_H2ce zenon_H46 zenon_H11a zenon_Hf6 zenon_H33 zenon_H15e zenon_H349 zenon_H3cb zenon_H2ea zenon_H3d2 zenon_H90 zenon_H35 zenon_H42 zenon_Hda zenon_He1 zenon_H8c zenon_Hde zenon_H4b zenon_Hd3 zenon_Hb5 zenon_H9e zenon_H19.
% 51.40/51.57 apply (zenon_or_s _ _ zenon_H33e); [ zenon_intro zenon_H10a | zenon_intro zenon_H33f ].
% 51.40/51.57 apply (zenon_L80_); trivial.
% 51.40/51.57 apply (zenon_or_s _ _ zenon_H33f); [ zenon_intro zenon_H330 | zenon_intro zenon_H340 ].
% 51.40/51.57 apply (zenon_L457_); trivial.
% 51.40/51.57 apply (zenon_or_s _ _ zenon_H340); [ zenon_intro zenon_H335 | zenon_intro zenon_H33b ].
% 51.40/51.57 apply (zenon_L646_); trivial.
% 51.40/51.57 apply (zenon_L452_); trivial.
% 51.40/51.57 (* end of lemma zenon_L647_ *)
% 51.40/51.57 assert (zenon_L648_ : (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e11))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((h4 (op1 (e12) (e12))) = (op2 (h4 (e12)) (h4 (e12))))) -> ((h4 (e13)) = (e23)) -> ((op2 (e22) (e22)) = (e23)) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((op1 (e11) (e10)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> ((op1 (e10) (e12)) = (e11)) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op1 (e11) (e11)) = (e11)) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e12) (e13)) = (e10)) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((op1 (e13) (e11)) = (e10)) -> ((op1 (e11) (e12)) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e13))) -> ((e11) = (op1 (e13) (e13))) -> False).
% 51.40/51.57 do 0 intro. intros zenon_H9e zenon_Hb5 zenon_Hd3 zenon_H4b zenon_Hde zenon_H8c zenon_He1 zenon_Hda zenon_H35 zenon_H90 zenon_H3d2 zenon_H2ea zenon_H3cb zenon_H349 zenon_H15e zenon_H33 zenon_Hf6 zenon_H11a zenon_H46 zenon_H2ce zenon_H3d9 zenon_Haf zenon_H2c zenon_H1c zenon_Hab zenon_H54 zenon_H49 zenon_H95 zenon_H65 zenon_Ha2 zenon_Hb0 zenon_H327 zenon_Hf0 zenon_Hec zenon_Hf3 zenon_Hc2 zenon_Hb8 zenon_Hc8 zenon_H30b zenon_H2c9 zenon_H62 zenon_Hfe zenon_H2b zenon_H10b zenon_H10e zenon_Hcf zenon_H33e zenon_H42 zenon_Hbe zenon_Ha3 zenon_Hcb zenon_H3d zenon_H19.
% 51.40/51.57 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H66 | zenon_intro zenon_Hd0 ].
% 51.40/51.57 apply (zenon_L647_); trivial.
% 51.40/51.57 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hd1 ].
% 51.40/51.57 apply (zenon_L40_); trivial.
% 51.40/51.57 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hb3 ].
% 51.40/51.57 apply (zenon_L43_); trivial.
% 51.40/51.57 apply (zenon_L37_); trivial.
% 51.40/51.57 (* end of lemma zenon_L648_ *)
% 51.40/51.57 assert (zenon_L649_ : ((e11) = (op1 (e13) (e13))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e12)) = (e13)) -> ((op1 (e13) (e11)) = (e10)) -> (~((e10) = (e13))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> ((op1 (e12) (e13)) = (e10)) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e11) (e11)) = (e11)) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (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 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e10) (e11)) = (e13)) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> ((op1 (e11) (e10)) = (e10)) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((op2 (e22) (e22)) = (e23)) -> ((h4 (e13)) = (e23)) -> (~((h4 (op1 (e12) (e12))) = (op2 (h4 (e12)) (h4 (e12))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e12))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> False).
% 51.40/51.57 do 0 intro. intros zenon_H19 zenon_H3d zenon_Hcb zenon_Ha3 zenon_Hbe zenon_H42 zenon_H33e zenon_Hcf zenon_H10e zenon_H10b zenon_H2b zenon_Hfe zenon_H62 zenon_H2c9 zenon_H30b zenon_Hc8 zenon_Hb8 zenon_Hc2 zenon_Hf3 zenon_Hec zenon_Hf0 zenon_H327 zenon_Hb0 zenon_Ha2 zenon_H65 zenon_H95 zenon_H54 zenon_Haf zenon_H3d9 zenon_H2ce zenon_H46 zenon_H11a zenon_Hf6 zenon_H33 zenon_H15e zenon_H349 zenon_H3cb zenon_H2ea zenon_H3d2 zenon_H90 zenon_H35 zenon_He1 zenon_H8c zenon_Hde zenon_H4b zenon_Hb5 zenon_H9e zenon_Hab zenon_Hd3 zenon_H2c zenon_H1c zenon_Hda.
% 51.40/51.57 apply (zenon_or_s _ _ zenon_Hde); [ zenon_intro zenon_H49 | zenon_intro zenon_Hdf ].
% 51.40/51.57 apply (zenon_L648_); trivial.
% 51.40/51.57 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_Haa | zenon_intro zenon_He0 ].
% 51.40/51.57 apply (zenon_L34_); trivial.
% 51.40/51.57 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hd2 | zenon_intro zenon_Hd9 ].
% 51.40/51.57 apply (zenon_L45_); trivial.
% 51.40/51.57 apply (zenon_L46_); trivial.
% 51.40/51.57 (* end of lemma zenon_L649_ *)
% 51.40/51.57 assert (zenon_L650_ : (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((h4 (op1 (e12) (e12))) = (op2 (h4 (e12)) (h4 (e12))))) -> ((h4 (e13)) = (e23)) -> ((op2 (e22) (e22)) = (e23)) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((op1 (e11) (e10)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> ((op1 (e10) (e12)) = (e11)) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op1 (e11) (e11)) = (e11)) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((op1 (e13) (e11)) = (e10)) -> ((op1 (e11) (e12)) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e13))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> False).
% 51.40/51.57 do 0 intro. intros zenon_Hda zenon_H1c zenon_H2c zenon_Hd3 zenon_Hab zenon_H9e zenon_Hb5 zenon_H4b zenon_Hde zenon_He1 zenon_H35 zenon_H90 zenon_H3d2 zenon_H2ea zenon_H3cb zenon_H349 zenon_H15e zenon_H33 zenon_Hf6 zenon_H11a zenon_H46 zenon_H2ce zenon_H3d9 zenon_Haf zenon_H54 zenon_H95 zenon_H65 zenon_Ha2 zenon_Hb0 zenon_H327 zenon_Hf0 zenon_Hec zenon_Hf3 zenon_Hc2 zenon_Hb8 zenon_Hc8 zenon_H30b zenon_H2c9 zenon_Hfe zenon_H2b zenon_H10b zenon_H10e zenon_Hcf zenon_H33e zenon_H42 zenon_Hbe zenon_Ha3 zenon_Hcb zenon_H3d zenon_H19 zenon_H8c.
% 51.40/51.57 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H4e | zenon_intro zenon_H91 ].
% 51.40/51.57 apply (zenon_L47_); trivial.
% 51.40/51.57 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H50 | zenon_intro zenon_H92 ].
% 51.40/51.57 apply (zenon_L66_); trivial.
% 51.40/51.57 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H62 | zenon_intro zenon_H8b ].
% 51.40/51.57 apply (zenon_L649_); trivial.
% 51.40/51.57 apply (zenon_L24_); trivial.
% 51.40/51.57 (* end of lemma zenon_L650_ *)
% 51.40/51.57 assert (zenon_L651_ : (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> ((op1 (e10) (e12)) = (e11)) -> (~((e10) = (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((op2 (e22) (e22)) = (e23)) -> ((h4 (e13)) = (e23)) -> (~((h4 (op1 (e12) (e12))) = (op2 (h4 (e12)) (h4 (e12))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((e11) = (op1 (e13) (e13))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e10)) = (e13)) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e13))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> False).
% 51.40/51.58 do 0 intro. intros zenon_H3d9 zenon_H11a zenon_H8c zenon_Hc2 zenon_Hcb zenon_Ha2 zenon_H65 zenon_H95 zenon_Hcf zenon_Hb8 zenon_Hc8 zenon_H15e zenon_H349 zenon_H3cb zenon_H2ea zenon_H3d2 zenon_Hde zenon_H19 zenon_H3d zenon_He1 zenon_H41 zenon_H50 zenon_Hea zenon_H9e zenon_H42 zenon_H4b zenon_Hb5 zenon_Hab zenon_Hd3 zenon_H2c zenon_H1c zenon_Hda.
% 51.40/51.58 apply (zenon_or_s _ _ zenon_H3d9); [ zenon_intro zenon_He6 | zenon_intro zenon_H3da ].
% 51.40/51.58 apply (zenon_L427_); trivial.
% 51.40/51.58 apply (zenon_or_s _ _ zenon_H3da); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H3db ].
% 51.40/51.58 apply (zenon_L288_); trivial.
% 51.40/51.58 apply (zenon_or_s _ _ zenon_H3db); [ zenon_intro zenon_H3d3 | zenon_intro zenon_Hcc ].
% 51.40/51.58 apply (zenon_L626_); trivial.
% 51.40/51.58 apply (zenon_or_s _ _ zenon_Hde); [ zenon_intro zenon_H49 | zenon_intro zenon_Hdf ].
% 51.40/51.58 apply (zenon_L93_); trivial.
% 51.40/51.58 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_Haa | zenon_intro zenon_He0 ].
% 51.40/51.58 apply (zenon_L34_); trivial.
% 51.40/51.58 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hd2 | zenon_intro zenon_Hd9 ].
% 51.40/51.58 apply (zenon_L45_); trivial.
% 51.40/51.58 apply (zenon_L46_); trivial.
% 51.40/51.58 (* end of lemma zenon_L651_ *)
% 51.40/51.58 assert (zenon_L652_ : (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((h4 (op1 (e12) (e12))) = (op2 (h4 (e12)) (h4 (e12))))) -> ((h4 (e13)) = (e23)) -> ((op2 (e22) (e22)) = (e23)) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((op1 (e10) (e12)) = (e11)) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((op1 (e10) (e10)) = (e11)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((e10) = (e11))) -> ((e11) = (op1 (e13) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op1 (e11) (e13)) = (e10)) -> (~((e10) = (e13))) -> False).
% 51.40/51.58 do 0 intro. intros zenon_Hf8 zenon_Hea zenon_He1 zenon_H3d2 zenon_H2ea zenon_H3cb zenon_H349 zenon_H15e zenon_H11a zenon_H3d9 zenon_H45 zenon_H2ba zenon_H3b zenon_H105 zenon_H1b zenon_H2d4 zenon_H8c zenon_H19 zenon_H1c zenon_Hc2 zenon_Hde zenon_H3d zenon_Hcb zenon_Hb5 zenon_H4b zenon_Ha2 zenon_H9e zenon_H65 zenon_H95 zenon_Hcf zenon_Hab zenon_Hd3 zenon_H2c zenon_Hda zenon_Hb8 zenon_Hc8 zenon_H50 zenon_H42.
% 51.40/51.58 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H41 | zenon_intro zenon_Hf9 ].
% 51.40/51.58 apply (zenon_L651_); trivial.
% 51.40/51.58 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H47 | zenon_intro zenon_Hfa ].
% 51.40/51.58 apply (zenon_L299_); trivial.
% 51.40/51.58 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H51 ].
% 51.40/51.58 apply (zenon_L288_); trivial.
% 51.40/51.58 apply (zenon_L17_); trivial.
% 51.40/51.58 (* end of lemma zenon_L652_ *)
% 51.40/51.58 assert (zenon_L653_ : (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((e11) = (e13))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> ((op1 (e12) (e12)) = (e11)) -> ((op1 (e10) (e12)) = (e11)) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((op2 (e22) (e22)) = (e23)) -> ((h4 (e13)) = (e23)) -> (~((h4 (op1 (e12) (e12))) = (op2 (h4 (e12)) (h4 (e12))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e12) (e13)) = (e10)) -> ((op1 (e13) (e10)) = (e13)) -> ((op1 (e11) (e13)) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> False).
% 51.40/51.58 do 0 intro. intros zenon_H3d9 zenon_H3d zenon_H19 zenon_Ha2 zenon_H335 zenon_H11a zenon_H46 zenon_H2ce zenon_H15e zenon_H349 zenon_H3cb zenon_H2ea zenon_H3d2 zenon_Hde zenon_H65 zenon_H62 zenon_H66 zenon_H51 zenon_H54 zenon_He1 zenon_Hab zenon_Hd3 zenon_H2c zenon_H1c zenon_Hda.
% 51.40/51.58 apply (zenon_or_s _ _ zenon_H3d9); [ zenon_intro zenon_He6 | zenon_intro zenon_H3da ].
% 51.40/51.58 apply (zenon_L427_); trivial.
% 51.40/51.58 apply (zenon_or_s _ _ zenon_H3da); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H3db ].
% 51.40/51.58 apply (zenon_L458_); trivial.
% 51.40/51.58 apply (zenon_or_s _ _ zenon_H3db); [ zenon_intro zenon_H3d3 | zenon_intro zenon_Hcc ].
% 51.40/51.58 apply (zenon_L626_); trivial.
% 51.40/51.58 apply (zenon_L363_); trivial.
% 51.40/51.58 (* end of lemma zenon_L653_ *)
% 51.40/51.58 assert (zenon_L654_ : (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((e11) = (e12))) -> ((op1 (e12) (e10)) = (e12)) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e10) = (e12))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e11) (e11)) = (e11)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e13)) -> ((op1 (e13) (e10)) = (e13)) -> ((op1 (e12) (e13)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((h4 (op1 (e12) (e12))) = (op2 (h4 (e12)) (h4 (e12))))) -> ((h4 (e13)) = (e23)) -> ((op2 (e22) (e22)) = (e23)) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e10) (e11)) = (e13)) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((e11) = (e13))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> False).
% 51.40/51.58 do 0 intro. intros zenon_H33e zenon_H10b zenon_H7c zenon_H327 zenon_Hcb zenon_Hf0 zenon_Hec zenon_Hf3 zenon_H8c zenon_Hc2 zenon_H35 zenon_Hb8 zenon_Hc8 zenon_H2c9 zenon_H30b zenon_Hda zenon_H1c zenon_H2c zenon_Hd3 zenon_Hab zenon_He1 zenon_H54 zenon_H51 zenon_H66 zenon_H62 zenon_H65 zenon_Hde zenon_H3d2 zenon_H2ea zenon_H3cb zenon_H349 zenon_H15e zenon_H2ce zenon_H46 zenon_H11a zenon_Ha2 zenon_H3d zenon_H3d9 zenon_H9e zenon_H19.
% 51.40/51.58 apply (zenon_or_s _ _ zenon_H33e); [ zenon_intro zenon_H10a | zenon_intro zenon_H33f ].
% 51.40/51.58 apply (zenon_L75_); trivial.
% 51.40/51.58 apply (zenon_or_s _ _ zenon_H33f); [ zenon_intro zenon_H330 | zenon_intro zenon_H340 ].
% 51.40/51.58 apply (zenon_or_s _ _ zenon_H3d9); [ zenon_intro zenon_He6 | zenon_intro zenon_H3da ].
% 51.40/51.58 apply (zenon_L427_); trivial.
% 51.40/51.58 apply (zenon_or_s _ _ zenon_H3da); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H3db ].
% 51.40/51.58 apply (zenon_or_s _ _ zenon_H327); [ zenon_intro zenon_He8 | zenon_intro zenon_H328 ].
% 51.40/51.58 apply (zenon_L65_); trivial.
% 51.40/51.58 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H2de | zenon_intro zenon_H329 ].
% 51.40/51.58 apply (zenon_L309_); trivial.
% 51.40/51.58 apply (zenon_or_s _ _ zenon_H329); [ zenon_intro zenon_Hf1 | zenon_intro zenon_Hd9 ].
% 51.40/51.58 apply (zenon_L432_); trivial.
% 51.40/51.58 apply (zenon_L46_); trivial.
% 51.40/51.58 apply (zenon_or_s _ _ zenon_H3db); [ zenon_intro zenon_H3d3 | zenon_intro zenon_Hcc ].
% 51.40/51.58 apply (zenon_L626_); trivial.
% 51.40/51.58 apply (zenon_L363_); trivial.
% 51.40/51.58 apply (zenon_or_s _ _ zenon_H340); [ zenon_intro zenon_H335 | zenon_intro zenon_H33b ].
% 51.40/51.58 apply (zenon_L653_); trivial.
% 51.40/51.58 apply (zenon_L452_); trivial.
% 51.40/51.58 (* end of lemma zenon_L654_ *)
% 51.40/51.58 assert (zenon_L655_ : (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (e10) (e10)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> ((op1 (e10) (e12)) = (e11)) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((op2 (e22) (e22)) = (e23)) -> ((h4 (e13)) = (e23)) -> (~((h4 (op1 (e12) (e12))) = (op2 (h4 (e12)) (h4 (e12))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e13) (e10)) = (e13)) -> ((op1 (e11) (e13)) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e11)) = (e11)) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e12))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e12) (e10)) = (e12)) -> (~((e11) = (e12))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> False).
% 51.40/51.58 do 0 intro. intros zenon_H90 zenon_H42 zenon_Hcf zenon_H95 zenon_H4b zenon_Hb5 zenon_H2d4 zenon_H1b zenon_H105 zenon_H3b zenon_H2ba zenon_H45 zenon_Hea zenon_Hf8 zenon_H9e zenon_H3d9 zenon_H3d zenon_Ha2 zenon_H11a zenon_H46 zenon_H2ce zenon_H15e zenon_H349 zenon_H3cb zenon_H2ea zenon_H3d2 zenon_Hde zenon_H65 zenon_H66 zenon_H51 zenon_H54 zenon_He1 zenon_Hab zenon_Hd3 zenon_H2c zenon_H1c zenon_Hda zenon_H30b zenon_H2c9 zenon_Hc8 zenon_Hb8 zenon_H35 zenon_Hc2 zenon_Hf3 zenon_Hec zenon_Hf0 zenon_Hcb zenon_H327 zenon_H7c zenon_H10b zenon_H33e zenon_H19 zenon_H8c.
% 51.40/51.58 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H4e | zenon_intro zenon_H91 ].
% 51.40/51.58 apply (zenon_L47_); trivial.
% 51.40/51.58 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H50 | zenon_intro zenon_H92 ].
% 51.40/51.58 apply (zenon_L652_); trivial.
% 51.40/51.58 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H62 | zenon_intro zenon_H8b ].
% 51.40/51.58 apply (zenon_L654_); trivial.
% 51.40/51.58 apply (zenon_L24_); trivial.
% 51.40/51.58 (* end of lemma zenon_L655_ *)
% 51.40/51.58 assert (zenon_L656_ : ((op1 (e13) (e11)) = (e10)) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> ((op1 (e11) (e10)) = (e10)) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (e10) (e10)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> ((op1 (e10) (e12)) = (e11)) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((op2 (e22) (e22)) = (e23)) -> ((h4 (e13)) = (e23)) -> (~((h4 (op1 (e12) (e12))) = (op2 (h4 (e12)) (h4 (e12))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e13) (e10)) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e11)) = (e11)) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e12))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e12) (e10)) = (e12)) -> (~((e11) = (e12))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> False).
% 51.40/51.58 do 0 intro. intros zenon_Hbe zenon_H10e zenon_H2b zenon_Hfe zenon_Hb0 zenon_Haf zenon_Hf6 zenon_H33 zenon_H90 zenon_H42 zenon_Hcf zenon_H95 zenon_H4b zenon_Hb5 zenon_H2d4 zenon_H1b zenon_H105 zenon_H3b zenon_H2ba zenon_H45 zenon_Hea zenon_Hf8 zenon_H9e zenon_H3d9 zenon_H3d zenon_Ha2 zenon_H11a zenon_H46 zenon_H2ce zenon_H15e zenon_H349 zenon_H3cb zenon_H2ea zenon_H3d2 zenon_Hde zenon_H65 zenon_H66 zenon_H54 zenon_He1 zenon_Hab zenon_Hd3 zenon_H2c zenon_H1c zenon_Hda zenon_H30b zenon_H2c9 zenon_Hc8 zenon_Hb8 zenon_H35 zenon_Hc2 zenon_Hf3 zenon_Hec zenon_Hf0 zenon_Hcb zenon_H327 zenon_H7c zenon_H10b zenon_H33e zenon_H19 zenon_H8c.
% 51.40/51.58 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H41 | zenon_intro zenon_Hf9 ].
% 51.40/51.58 apply (zenon_L12_); trivial.
% 51.40/51.58 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H47 | zenon_intro zenon_Hfa ].
% 51.40/51.58 apply (zenon_L13_); trivial.
% 51.40/51.58 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H51 ].
% 51.40/51.58 apply (zenon_L650_); trivial.
% 51.40/51.58 apply (zenon_L655_); trivial.
% 51.40/51.58 (* end of lemma zenon_L656_ *)
% 51.40/51.58 assert (zenon_L657_ : (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (e12)) = (e10)) -> ((op1 (e13) (e11)) = (e10)) -> ((op1 (e11) (e12)) = (e13)) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e12) (e13)) = (e10)) -> ((op1 (e13) (e10)) = (e13)) -> ((op1 (e11) (e13)) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e12)) = (e11)) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((op1 (e12) (e10)) = (e12)) -> ((op1 (e10) (e13)) = (e12)) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((h4 (op1 (e12) (e12))) = (op2 (h4 (e12)) (h4 (e12))))) -> ((h4 (e13)) = (e23)) -> ((op2 (e22) (e22)) = (e23)) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> False).
% 51.40/51.58 do 0 intro. intros zenon_H3dc zenon_H12c zenon_H126 zenon_Hbe zenon_Ha3 zenon_H19 zenon_Ha2 zenon_H65 zenon_H62 zenon_H66 zenon_H51 zenon_H54 zenon_H11a zenon_H46 zenon_H2ce zenon_H305 zenon_H1c zenon_H7c zenon_H49 zenon_H2c zenon_H3d2 zenon_H2ea zenon_H3cb zenon_H349 zenon_H15e.
% 51.40/51.58 apply (zenon_or_s _ _ zenon_H3dc); [ zenon_intro zenon_H321 | zenon_intro zenon_H3dd ].
% 51.40/51.58 apply (zenon_L387_); trivial.
% 51.40/51.58 apply (zenon_or_s _ _ zenon_H3dd); [ zenon_intro zenon_H335 | zenon_intro zenon_H3de ].
% 51.40/51.58 apply (zenon_L458_); trivial.
% 51.40/51.58 apply (zenon_or_s _ _ zenon_H3de); [ zenon_intro zenon_H304 | zenon_intro zenon_H3d3 ].
% 51.40/51.58 apply (zenon_L334_); trivial.
% 51.40/51.58 apply (zenon_L626_); trivial.
% 51.40/51.58 (* end of lemma zenon_L657_ *)
% 51.40/51.58 assert (zenon_L658_ : (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((op2 (e22) (e22)) = (e23)) -> ((h4 (e13)) = (e23)) -> (~((h4 (op1 (e12) (e12))) = (op2 (h4 (e12)) (h4 (e12))))) -> ((op1 (e12) (e10)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e10) (e11)) = (e13)) -> ((op1 (e10) (e12)) = (e11)) -> ((op1 (e12) (e13)) = (e10)) -> ((op1 (e13) (e11)) = (e10)) -> ((op1 (e11) (e12)) = (e10)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (e13) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> ((op1 (e11) (e12)) = (e13)) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((e11) = (e13))) -> ((e11) = (op1 (e13) (e13))) -> False).
% 51.40/51.58 do 0 intro. intros zenon_Hb5 zenon_Hda zenon_Hd3 zenon_H4b zenon_Hde zenon_H15e zenon_H349 zenon_H3cb zenon_H2ea zenon_H3d2 zenon_H7c zenon_H305 zenon_H2ce zenon_H46 zenon_H11a zenon_H62 zenon_Hbe zenon_H126 zenon_H12c zenon_H3dc zenon_Haf zenon_H2c zenon_H1c zenon_Hab zenon_H54 zenon_H49 zenon_H95 zenon_H66 zenon_H65 zenon_H9e zenon_Ha2 zenon_Ha3 zenon_Hb0 zenon_H3d zenon_H19.
% 51.40/51.58 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H4a | zenon_intro zenon_Hb6 ].
% 51.40/51.58 apply (zenon_L335_); trivial.
% 51.40/51.58 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H51 | zenon_intro zenon_Hb7 ].
% 51.40/51.58 apply (zenon_L657_); trivial.
% 51.40/51.58 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb3 ].
% 51.40/51.58 apply (zenon_L36_); trivial.
% 51.40/51.58 apply (zenon_L37_); trivial.
% 51.40/51.58 (* end of lemma zenon_L658_ *)
% 51.40/51.58 assert (zenon_L659_ : (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e13))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> ((op1 (e11) (e12)) = (e13)) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e13) (e10)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (e12)) = (e10)) -> ((op1 (e13) (e11)) = (e10)) -> ((op1 (e10) (e12)) = (e11)) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (e12) (e10)) = (e12)) -> (~((h4 (op1 (e12) (e12))) = (op2 (h4 (e12)) (h4 (e12))))) -> ((h4 (e13)) = (e23)) -> ((op2 (e22) (e22)) = (e23)) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> False).
% 51.40/51.58 do 0 intro. intros zenon_H90 zenon_H35 zenon_Hcf zenon_H42 zenon_Hcb zenon_H3d zenon_Hb0 zenon_Ha3 zenon_Ha2 zenon_H9e zenon_H65 zenon_H66 zenon_H95 zenon_H49 zenon_H54 zenon_Hab zenon_H1c zenon_H2c zenon_Haf zenon_H3dc zenon_H12c zenon_H126 zenon_Hbe zenon_H11a zenon_H46 zenon_H2ce zenon_H305 zenon_H7c zenon_H3d2 zenon_H2ea zenon_H3cb zenon_H349 zenon_H15e zenon_Hde zenon_H4b zenon_Hd3 zenon_Hda zenon_Hb5 zenon_H19 zenon_H8c.
% 51.40/51.58 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H4e | zenon_intro zenon_H91 ].
% 51.40/51.58 apply (zenon_L16_); trivial.
% 51.40/51.58 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H50 | zenon_intro zenon_H92 ].
% 51.40/51.58 apply (zenon_L287_); trivial.
% 51.40/51.58 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H62 | zenon_intro zenon_H8b ].
% 51.40/51.58 apply (zenon_L658_); trivial.
% 51.40/51.58 apply (zenon_L24_); trivial.
% 51.40/51.58 (* end of lemma zenon_L659_ *)
% 51.40/51.58 assert (zenon_L660_ : (~((e10) = (e11))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((op2 (e22) (e22)) = (e23)) -> ((h4 (e13)) = (e23)) -> (~((h4 (op1 (e12) (e12))) = (op2 (h4 (e12)) (h4 (e12))))) -> ((op1 (e12) (e10)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e10) (e11)) = (e13)) -> ((op1 (e10) (e12)) = (e11)) -> ((op1 (e11) (e12)) = (e10)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e13))) -> ((op1 (e13) (e11)) = (e10)) -> ((op1 (e11) (e12)) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e13))) -> ((e11) = (op1 (e13) (e13))) -> False).
% 51.40/51.58 do 0 intro. intros zenon_H8c zenon_Hb5 zenon_Hda zenon_Hd3 zenon_H4b zenon_Hde zenon_H15e zenon_H349 zenon_H3cb zenon_H2ea zenon_H3d2 zenon_H7c zenon_H305 zenon_H2ce zenon_H46 zenon_H11a zenon_H126 zenon_H12c zenon_H3dc zenon_Haf zenon_H2c zenon_H1c zenon_Hab zenon_H54 zenon_H49 zenon_H95 zenon_H65 zenon_H9e zenon_Ha2 zenon_Hb0 zenon_Hcf zenon_H35 zenon_H90 zenon_H42 zenon_Hbe zenon_Ha3 zenon_Hcb zenon_H3d zenon_H19.
% 51.40/51.58 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H66 | zenon_intro zenon_Hd0 ].
% 51.40/51.58 apply (zenon_L659_); trivial.
% 51.40/51.58 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hd1 ].
% 51.40/51.58 apply (zenon_L40_); trivial.
% 51.40/51.58 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hb3 ].
% 51.40/51.58 apply (zenon_L43_); trivial.
% 51.40/51.58 apply (zenon_L37_); trivial.
% 51.40/51.58 (* end of lemma zenon_L660_ *)
% 51.40/51.58 assert (zenon_L661_ : (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e11)) = (e10)) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (e12)) = (e10)) -> ((op1 (e10) (e12)) = (e11)) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (e12) (e10)) = (e12)) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((op2 (e22) (e22)) = (e23)) -> ((h4 (e13)) = (e23)) -> (~((h4 (op1 (e12) (e12))) = (op2 (h4 (e12)) (h4 (e12))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e12))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e12) (e10)) = (e13)) -> ((op1 (e11) (e13)) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> False).
% 51.40/51.58 do 0 intro. intros zenon_H3d9 zenon_H3d zenon_Hcb zenon_Hbe zenon_Hcf zenon_Hb0 zenon_Ha2 zenon_H9e zenon_H65 zenon_H95 zenon_Hab zenon_H1c zenon_H2c zenon_Haf zenon_H3dc zenon_H12c zenon_H126 zenon_H11a zenon_H46 zenon_H2ce zenon_H305 zenon_H7c zenon_Hde zenon_H4b zenon_Hd3 zenon_Hb5 zenon_H15e zenon_H349 zenon_H3cb zenon_H2ea zenon_H3d2 zenon_H90 zenon_H35 zenon_H42 zenon_Hda zenon_H49 zenon_H7d zenon_He2 zenon_H51 zenon_H54 zenon_He1 zenon_H19 zenon_H8c.
% 51.40/51.58 apply (zenon_or_s _ _ zenon_H3d9); [ zenon_intro zenon_He6 | zenon_intro zenon_H3da ].
% 51.40/51.58 apply (zenon_L427_); trivial.
% 51.40/51.58 apply (zenon_or_s _ _ zenon_H3da); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H3db ].
% 51.40/51.58 apply (zenon_L660_); trivial.
% 51.40/51.58 apply (zenon_or_s _ _ zenon_H3db); [ zenon_intro zenon_H3d3 | zenon_intro zenon_Hcc ].
% 51.40/51.58 apply (zenon_L626_); trivial.
% 51.40/51.58 apply (zenon_L52_); trivial.
% 51.40/51.58 (* end of lemma zenon_L661_ *)
% 51.40/51.58 assert (zenon_L662_ : (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((op1 (e11) (e10)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e11)) = (e10)) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (e12)) = (e10)) -> ((op1 (e10) (e12)) = (e11)) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (e12) (e10)) = (e12)) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((op2 (e22) (e22)) = (e23)) -> ((h4 (e13)) = (e23)) -> (~((h4 (op1 (e12) (e12))) = (op2 (h4 (e12)) (h4 (e12))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e12))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e12) (e10)) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> False).
% 51.40/51.58 do 0 intro. intros zenon_Hf8 zenon_H108 zenon_H45 zenon_H3d9 zenon_H3d zenon_Hcb zenon_Hbe zenon_Hcf zenon_Hb0 zenon_Ha2 zenon_H9e zenon_H65 zenon_H95 zenon_Hab zenon_H1c zenon_H2c zenon_Haf zenon_H3dc zenon_H12c zenon_H126 zenon_H11a zenon_H46 zenon_H2ce zenon_H305 zenon_H7c zenon_Hde zenon_H4b zenon_Hd3 zenon_Hb5 zenon_H15e zenon_H349 zenon_H3cb zenon_H2ea zenon_H3d2 zenon_H90 zenon_H35 zenon_H42 zenon_Hda zenon_H49 zenon_H7d zenon_He2 zenon_H54 zenon_He1 zenon_H19 zenon_H8c.
% 51.40/51.58 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H41 | zenon_intro zenon_Hf9 ].
% 51.40/51.58 apply (zenon_L328_); trivial.
% 51.40/51.58 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H47 | zenon_intro zenon_Hfa ].
% 51.40/51.58 apply (zenon_L13_); trivial.
% 51.40/51.58 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H51 ].
% 51.40/51.58 apply (zenon_L660_); trivial.
% 51.40/51.58 apply (zenon_L661_); trivial.
% 51.40/51.58 (* end of lemma zenon_L662_ *)
% 51.40/51.58 assert (zenon_L663_ : (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (e12) (e10)) = (e12)) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((op2 (e22) (e22)) = (e23)) -> ((h4 (e13)) = (e23)) -> (~((h4 (op1 (e12) (e12))) = (op2 (h4 (e12)) (h4 (e12))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e12) (e10)) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((op1 (e11) (e10)) = (e11)) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((e10) = (e11))) -> ((e11) = (op1 (e13) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e13))) -> False).
% 51.40/51.58 do 0 intro. intros zenon_H2e0 zenon_H10e zenon_H3d9 zenon_Hb0 zenon_Hab zenon_H2c zenon_Haf zenon_H3dc zenon_H12c zenon_H11a zenon_H2ce zenon_H305 zenon_H7c zenon_Hde zenon_Hd3 zenon_H15e zenon_H349 zenon_H3cb zenon_H2ea zenon_H3d2 zenon_H90 zenon_H35 zenon_Hda zenon_H7d zenon_He2 zenon_H54 zenon_He1 zenon_Hf8 zenon_H108 zenon_H46 zenon_H45 zenon_H8c zenon_H19 zenon_H1c zenon_Hc2 zenon_Hcf zenon_H49 zenon_H95 zenon_H65 zenon_H9e zenon_Ha2 zenon_H4b zenon_Hb5 zenon_Hcb zenon_H3d zenon_Hb8 zenon_Hc8 zenon_H42.
% 51.40/51.58 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H33 | zenon_intro zenon_H2e2 ].
% 51.40/51.58 apply (zenon_L74_); trivial.
% 51.40/51.58 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2e3 ].
% 51.40/51.58 apply (zenon_L283_); trivial.
% 51.40/51.58 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H126 | zenon_intro zenon_H50 ].
% 51.40/51.58 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hc9 ].
% 51.40/51.58 apply (zenon_L39_); trivial.
% 51.40/51.58 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hca ].
% 51.40/51.58 apply (zenon_L662_); trivial.
% 51.40/51.58 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H8b ].
% 51.40/51.58 apply (zenon_L41_); trivial.
% 51.40/51.58 apply (zenon_L24_); trivial.
% 51.40/51.58 apply (zenon_L550_); trivial.
% 51.40/51.58 (* end of lemma zenon_L663_ *)
% 51.40/51.58 assert (zenon_L664_ : (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((op1 (e11) (e10)) = (e11)) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((e11) = (op1 (e13) (e13))) -> (~((e11) = (e13))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (e13) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((op1 (e11) (e13)) = (e10)) -> (~((e10) = (e13))) -> False).
% 51.40/51.58 do 0 intro. intros zenon_Hf8 zenon_H108 zenon_H46 zenon_H45 zenon_H19 zenon_H3d zenon_H49 zenon_H95 zenon_H66 zenon_H65 zenon_H9e zenon_Ha2 zenon_H4b zenon_Hb5 zenon_H50 zenon_H42.
% 51.40/51.58 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H41 | zenon_intro zenon_Hf9 ].
% 51.40/51.58 apply (zenon_L328_); trivial.
% 51.40/51.58 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H47 | zenon_intro zenon_Hfa ].
% 51.40/51.58 apply (zenon_L13_); trivial.
% 51.40/51.58 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H51 ].
% 51.40/51.58 apply (zenon_L285_); trivial.
% 51.40/51.58 apply (zenon_L17_); trivial.
% 51.40/51.58 (* end of lemma zenon_L664_ *)
% 51.40/51.58 assert (zenon_L665_ : (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((e11) = (e13))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((op1 (e12) (e10)) = (e12)) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e10) (e11)) = (e13)) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> ((e11) = (op1 (e13) (e13))) -> ((op1 (e13) (e11)) = (e10)) -> ((op1 (e11) (e12)) = (e10)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((op2 (e22) (e22)) = (e23)) -> ((h4 (e13)) = (e23)) -> (~((h4 (op1 (e12) (e12))) = (op2 (h4 (e12)) (h4 (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e13)) -> ((op1 (e13) (e10)) = (e13)) -> ((op1 (e12) (e13)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> False).
% 51.40/51.58 do 0 intro. intros zenon_H3d9 zenon_H3d zenon_H2c zenon_H7c zenon_H1c zenon_H305 zenon_H2ce zenon_H46 zenon_H11a zenon_Ha2 zenon_H19 zenon_Hbe zenon_H126 zenon_H12c zenon_H3dc zenon_H15e zenon_H349 zenon_H3cb zenon_H2ea zenon_H3d2 zenon_He1 zenon_H54 zenon_H51 zenon_H66 zenon_H62 zenon_H65 zenon_H49 zenon_Hda.
% 51.40/51.58 apply (zenon_or_s _ _ zenon_H3d9); [ zenon_intro zenon_He6 | zenon_intro zenon_H3da ].
% 51.40/51.58 apply (zenon_L427_); trivial.
% 51.40/51.58 apply (zenon_or_s _ _ zenon_H3da); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H3db ].
% 51.40/51.58 apply (zenon_L657_); trivial.
% 51.40/51.58 apply (zenon_or_s _ _ zenon_H3db); [ zenon_intro zenon_H3d3 | zenon_intro zenon_Hcc ].
% 51.40/51.58 apply (zenon_L626_); trivial.
% 51.40/51.58 apply (zenon_L362_); trivial.
% 51.40/51.58 (* end of lemma zenon_L665_ *)
% 51.40/51.58 assert (zenon_L666_ : (((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)) = (op1 (e11) (e13)))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((op1 (e11) (e10)) = (e11)) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e13) (e10)) = (e13)) -> ((op1 (e11) (e13)) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((h4 (op1 (e12) (e12))) = (op2 (h4 (e12)) (h4 (e12))))) -> ((h4 (e13)) = (e23)) -> ((op2 (e22) (e22)) = (e23)) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (e12)) = (e10)) -> ((op1 (e13) (e11)) = (e10)) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> ((op1 (e10) (e12)) = (e11)) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((op1 (e12) (e10)) = (e12)) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((e11) = (e13))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> False).
% 51.40/51.58 do 0 intro. intros zenon_H90 zenon_Hd3 zenon_Hab zenon_H35 zenon_Hde zenon_H42 zenon_Hb5 zenon_H4b zenon_H9e zenon_H95 zenon_H45 zenon_H108 zenon_Hf8 zenon_Hda zenon_H49 zenon_H65 zenon_H66 zenon_H51 zenon_H54 zenon_He1 zenon_H3d2 zenon_H2ea zenon_H3cb zenon_H349 zenon_H15e zenon_H3dc zenon_H12c zenon_H126 zenon_Hbe zenon_Ha2 zenon_H11a zenon_H46 zenon_H2ce zenon_H305 zenon_H1c zenon_H7c zenon_H2c zenon_H3d zenon_H3d9 zenon_H19 zenon_H8c.
% 51.40/51.58 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H4e | zenon_intro zenon_H91 ].
% 51.40/51.58 apply (zenon_L47_); trivial.
% 51.40/51.58 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H50 | zenon_intro zenon_H92 ].
% 51.40/51.58 apply (zenon_L664_); trivial.
% 51.40/51.58 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H62 | zenon_intro zenon_H8b ].
% 51.40/51.58 apply (zenon_L665_); trivial.
% 51.40/51.58 apply (zenon_L24_); trivial.
% 51.40/51.58 (* end of lemma zenon_L666_ *)
% 51.40/51.58 assert (zenon_L667_ : (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((op1 (e11) (e10)) = (e11)) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e13) (e10)) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((h4 (op1 (e12) (e12))) = (op2 (h4 (e12)) (h4 (e12))))) -> ((h4 (e13)) = (e23)) -> ((op2 (e22) (e22)) = (e23)) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (e12)) = (e10)) -> ((op1 (e13) (e11)) = (e10)) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> ((op1 (e10) (e12)) = (e11)) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((op1 (e12) (e10)) = (e12)) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((e11) = (e13))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> False).
% 51.40/51.58 do 0 intro. intros zenon_Haf zenon_Hb0 zenon_Hcb zenon_Hcf zenon_H90 zenon_Hd3 zenon_Hab zenon_H35 zenon_Hde zenon_H42 zenon_Hb5 zenon_H4b zenon_H9e zenon_H95 zenon_H45 zenon_H108 zenon_Hf8 zenon_Hda zenon_H49 zenon_H65 zenon_H66 zenon_H54 zenon_He1 zenon_H3d2 zenon_H2ea zenon_H3cb zenon_H349 zenon_H15e zenon_H3dc zenon_H12c zenon_H126 zenon_Hbe zenon_Ha2 zenon_H11a zenon_H46 zenon_H2ce zenon_H305 zenon_H1c zenon_H7c zenon_H2c zenon_H3d zenon_H3d9 zenon_H19 zenon_H8c.
% 51.40/51.58 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H41 | zenon_intro zenon_Hf9 ].
% 51.40/51.58 apply (zenon_L328_); trivial.
% 51.40/51.58 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H47 | zenon_intro zenon_Hfa ].
% 51.40/51.58 apply (zenon_L13_); trivial.
% 51.40/51.58 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H51 ].
% 51.40/51.58 apply (zenon_L659_); trivial.
% 51.40/51.58 apply (zenon_L666_); trivial.
% 51.40/51.58 (* end of lemma zenon_L667_ *)
% 51.40/51.58 assert (zenon_L668_ : (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((e11) = (e12))) -> ((op1 (e10) (e13)) = (e12)) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((h4 (op1 (e12) (e12))) = (op2 (h4 (e12)) (h4 (e12))))) -> ((h4 (e13)) = (e23)) -> ((op2 (e22) (e22)) = (e23)) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((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))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> ((op1 (e11) (e10)) = (e11)) -> ((op1 (e10) (e10)) = (e10)) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((e11) = (e13))) -> ((op1 (e10) (e12)) = (e11)) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> False).
% 51.40/51.58 do 0 intro. intros zenon_Hfe zenon_H2b zenon_H10b zenon_H49 zenon_H2e0 zenon_H10e zenon_Haf zenon_H3d2 zenon_H2ea zenon_H3cb zenon_H349 zenon_H15e zenon_H3dc zenon_H12c zenon_H2ce zenon_H305 zenon_H3d9 zenon_H95 zenon_H65 zenon_Ha2 zenon_Hff zenon_Hf8 zenon_Hb0 zenon_Hea zenon_H9e zenon_Hb5 zenon_H45 zenon_Hcb zenon_Hf0 zenon_Hec zenon_Hf3 zenon_Hc8 zenon_Hb8 zenon_He1 zenon_H54 zenon_H7d zenon_H42 zenon_Hcf zenon_H35 zenon_H90 zenon_Hc2 zenon_H19 zenon_H8c zenon_H108 zenon_H23 zenon_Hfb zenon_H3d zenon_H11a zenon_Hde zenon_H4b zenon_Hab zenon_Hd3 zenon_H2c zenon_H1c zenon_Hda.
% 51.40/51.58 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ].
% 51.40/51.58 apply (zenon_L7_); trivial.
% 51.40/51.58 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_H34 | zenon_intro zenon_H101 ].
% 51.40/51.58 apply (zenon_L99_); trivial.
% 51.40/51.58 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_H7c | zenon_intro zenon_He8 ].
% 51.40/51.58 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H3c | zenon_intro zenon_H102 ].
% 51.40/51.58 apply (zenon_L317_); trivial.
% 51.40/51.58 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_H46 | zenon_intro zenon_H103 ].
% 51.40/51.58 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hfc ].
% 51.40/51.58 apply (zenon_L317_); trivial.
% 51.40/51.58 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H41 | zenon_intro zenon_Hfd ].
% 51.40/51.58 apply (zenon_L328_); trivial.
% 51.40/51.58 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_He2 | zenon_intro zenon_H66 ].
% 51.40/51.58 apply (zenon_L663_); trivial.
% 51.40/51.58 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H33 | zenon_intro zenon_H2e2 ].
% 51.40/51.58 apply (zenon_L74_); trivial.
% 51.40/51.58 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2e3 ].
% 51.40/51.58 apply (zenon_L283_); trivial.
% 51.40/51.58 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H126 | zenon_intro zenon_H50 ].
% 51.40/51.58 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hc9 ].
% 51.40/51.58 apply (zenon_L39_); trivial.
% 51.40/51.58 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hca ].
% 51.40/51.58 apply (zenon_L667_); trivial.
% 51.40/51.58 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H8b ].
% 51.40/51.58 apply (zenon_L41_); trivial.
% 51.40/51.58 apply (zenon_L24_); trivial.
% 51.40/51.58 apply (zenon_L664_); trivial.
% 51.40/51.58 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_He6 | zenon_intro zenon_H4a ].
% 51.40/51.58 apply (zenon_L427_); trivial.
% 51.40/51.58 apply (zenon_L15_); trivial.
% 51.40/51.58 apply (zenon_L602_); trivial.
% 51.40/51.58 (* end of lemma zenon_L668_ *)
% 51.40/51.58 assert (zenon_L669_ : (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e10) (e12)) = (e11)) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> ((op1 (e10) (e10)) = (e10)) -> ((op1 (e11) (e10)) = (e11)) -> (~((e10) = (e11))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (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 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((op2 (e22) (e22)) = (e23)) -> ((h4 (e13)) = (e23)) -> (~((h4 (op1 (e12) (e12))) = (op2 (h4 (e12)) (h4 (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> False).
% 51.40/51.58 do 0 intro. intros zenon_H4b zenon_Hde zenon_H11a zenon_H3d zenon_Hfb zenon_H23 zenon_H108 zenon_H8c zenon_H19 zenon_Hc2 zenon_H90 zenon_H35 zenon_Hcf zenon_H42 zenon_H7d zenon_H54 zenon_He1 zenon_Hb8 zenon_Hc8 zenon_Hf3 zenon_Hec zenon_Hf0 zenon_Hcb zenon_H45 zenon_Hb5 zenon_H9e zenon_Hea zenon_Hb0 zenon_Hf8 zenon_Hff zenon_Ha2 zenon_H65 zenon_H95 zenon_H3d9 zenon_H305 zenon_H2ce zenon_H12c zenon_H3dc zenon_H15e zenon_H349 zenon_H3cb zenon_H2ea zenon_H3d2 zenon_Haf zenon_H10e zenon_H2e0 zenon_H10b zenon_H2b zenon_Hfe zenon_Hab zenon_Hd3 zenon_H2c zenon_H1c zenon_Hda.
% 51.40/51.58 apply (zenon_or_s _ _ zenon_Hde); [ zenon_intro zenon_H49 | zenon_intro zenon_Hdf ].
% 51.40/51.58 apply (zenon_L668_); trivial.
% 51.40/51.58 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_Haa | zenon_intro zenon_He0 ].
% 51.40/51.58 apply (zenon_L34_); trivial.
% 51.40/51.58 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hd2 | zenon_intro zenon_Hd9 ].
% 51.40/51.58 apply (zenon_L45_); trivial.
% 51.40/51.58 apply (zenon_L46_); trivial.
% 51.40/51.58 (* end of lemma zenon_L669_ *)
% 51.40/51.58 assert (zenon_L670_ : (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e12)) = (e13)) -> (~((e10) = (e13))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (e12)) = (e10)) -> ((op1 (e10) (e12)) = (e11)) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (e12) (e10)) = (e12)) -> (~((h4 (op1 (e12) (e12))) = (op2 (h4 (e12)) (h4 (e12))))) -> ((h4 (e13)) = (e23)) -> ((op2 (e22) (e22)) = (e23)) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> False).
% 51.40/51.58 do 0 intro. intros zenon_Hc8 zenon_Hb8 zenon_H3d zenon_Hcb zenon_Ha3 zenon_H42 zenon_H90 zenon_H35 zenon_Hcf zenon_Hb0 zenon_Ha2 zenon_H9e zenon_H65 zenon_H95 zenon_H49 zenon_H54 zenon_Hab zenon_H2c zenon_Haf zenon_H3dc zenon_H12c zenon_H126 zenon_H11a zenon_H46 zenon_H2ce zenon_H305 zenon_H7c zenon_H3d2 zenon_H2ea zenon_H3cb zenon_H349 zenon_H15e zenon_Hde zenon_H4b zenon_Hd3 zenon_Hda zenon_Hb5 zenon_Hc2 zenon_H1c zenon_H19 zenon_H8c.
% 51.40/51.58 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hc9 ].
% 51.40/51.58 apply (zenon_L39_); trivial.
% 51.40/51.58 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hca ].
% 51.40/51.58 apply (zenon_L660_); trivial.
% 51.40/51.58 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H8b ].
% 51.40/51.58 apply (zenon_L41_); trivial.
% 51.40/51.58 apply (zenon_L24_); trivial.
% 51.40/51.58 (* end of lemma zenon_L670_ *)
% 51.40/51.58 assert (zenon_L671_ : (~((e10) = (e11))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((op2 (e22) (e22)) = (e23)) -> ((h4 (e13)) = (e23)) -> (~((h4 (op1 (e12) (e12))) = (op2 (h4 (e12)) (h4 (e12))))) -> ((op1 (e12) (e10)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e10) (e11)) = (e13)) -> ((op1 (e10) (e12)) = (e11)) -> ((op1 (e11) (e12)) = (e10)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e13))) -> ((op1 (e11) (e12)) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> False).
% 51.40/51.58 do 0 intro. intros zenon_H8c zenon_H19 zenon_Hc2 zenon_Hb5 zenon_H4b zenon_Hde zenon_H15e zenon_H349 zenon_H3cb zenon_H2ea zenon_H3d2 zenon_H7c zenon_H305 zenon_H2ce zenon_H46 zenon_H11a zenon_H126 zenon_H12c zenon_H3dc zenon_Haf zenon_H54 zenon_H95 zenon_H65 zenon_H9e zenon_Ha2 zenon_Hb0 zenon_Hcf zenon_H35 zenon_H90 zenon_H42 zenon_Ha3 zenon_Hcb zenon_H3d zenon_Hb8 zenon_Hc8 zenon_Hab zenon_Hd3 zenon_H2c zenon_H1c zenon_Hda.
% 51.40/51.58 apply (zenon_or_s _ _ zenon_Hde); [ zenon_intro zenon_H49 | zenon_intro zenon_Hdf ].
% 51.40/51.58 apply (zenon_L670_); trivial.
% 51.40/51.58 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_Haa | zenon_intro zenon_He0 ].
% 51.40/51.58 apply (zenon_L34_); trivial.
% 51.40/51.58 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hd2 | zenon_intro zenon_Hd9 ].
% 51.40/51.58 apply (zenon_L45_); trivial.
% 51.40/51.58 apply (zenon_L46_); trivial.
% 51.40/51.58 (* end of lemma zenon_L671_ *)
% 51.40/51.58 assert (zenon_L672_ : (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e13) (e12)) = (e13)) -> ((op1 (e12) (e13)) = (e13)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> ((op1 (e13) (e10)) = (e12)) -> (~((e10) = (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e10) = (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e13))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> False).
% 51.40/51.58 do 0 intro. intros zenon_Hde zenon_Hcc zenon_H96 zenon_H9e zenon_H54 zenon_H95 zenon_H19 zenon_Hcf zenon_H4b zenon_He8 zenon_H8c zenon_Hc2 zenon_H42 zenon_Hb8 zenon_Hc8 zenon_Hea zenon_H41 zenon_He1 zenon_H3d zenon_Hb0 zenon_Hab zenon_Hd3 zenon_H2c zenon_H1c zenon_Hda.
% 51.40/51.58 apply (zenon_or_s _ _ zenon_Hde); [ zenon_intro zenon_H49 | zenon_intro zenon_Hdf ].
% 51.40/51.58 apply (zenon_L346_); trivial.
% 51.40/51.58 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_Haa | zenon_intro zenon_He0 ].
% 51.40/51.58 apply (zenon_L34_); trivial.
% 51.40/51.58 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hd2 | zenon_intro zenon_Hd9 ].
% 51.40/51.58 apply (zenon_L45_); trivial.
% 51.40/51.58 apply (zenon_L46_); trivial.
% 51.40/51.58 (* end of lemma zenon_L672_ *)
% 51.40/51.58 assert (zenon_L673_ : (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e10) (e12)) = (e11)) -> ((op1 (e12) (e11)) = (e12)) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e13))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> ((op1 (e13) (e10)) = (e12)) -> (~((e12) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e12)) = (e13)) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e11) = (e13))) -> ((e11) = (op1 (e13) (e13))) -> False).
% 51.40/51.58 do 0 intro. intros zenon_Hb5 zenon_H7d zenon_H49 zenon_H35 zenon_H90 zenon_H30d zenon_H72 zenon_H65 zenon_H2c9 zenon_H11a zenon_H2c8 zenon_H10e zenon_H123 zenon_H311 zenon_Hda zenon_H1c zenon_H2c zenon_Hd3 zenon_Hab zenon_Hb0 zenon_He1 zenon_H41 zenon_Hea zenon_Hc8 zenon_Hb8 zenon_H42 zenon_Hc2 zenon_H8c zenon_He8 zenon_H4b zenon_Hcf zenon_H95 zenon_H54 zenon_H9e zenon_Hcc zenon_Hde zenon_H3d zenon_H19.
% 51.40/51.58 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H4a | zenon_intro zenon_Hb6 ].
% 51.40/51.58 apply (zenon_L15_); trivial.
% 51.40/51.58 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H51 | zenon_intro zenon_Hb7 ].
% 51.40/51.58 apply (zenon_or_s _ _ zenon_H311); [ zenon_intro zenon_H121 | zenon_intro zenon_H312 ].
% 51.40/51.58 apply (zenon_L89_); trivial.
% 51.40/51.58 apply (zenon_or_s _ _ zenon_H312); [ zenon_intro zenon_H10a | zenon_intro zenon_H313 ].
% 51.40/51.58 apply (zenon_L508_); trivial.
% 51.40/51.58 apply (zenon_or_s _ _ zenon_H313); [ zenon_intro zenon_H7c | zenon_intro zenon_He2 ].
% 51.40/51.58 apply (zenon_L341_); trivial.
% 51.40/51.58 apply (zenon_L52_); trivial.
% 51.40/51.58 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb3 ].
% 51.40/51.58 apply (zenon_L672_); trivial.
% 51.40/51.58 apply (zenon_L37_); trivial.
% 51.40/51.58 (* end of lemma zenon_L673_ *)
% 51.40/51.58 assert (zenon_L674_ : (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((op2 (e22) (e22)) = (e23)) -> ((h4 (e13)) = (e23)) -> (~((h4 (op1 (e12) (e12))) = (op2 (h4 (e12)) (h4 (e12))))) -> (~((e10) = (e11))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e10) = (e13))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op1 (e12) (e12)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e10)) = (e12)) -> (~((e12) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((e11) = (e13))) -> ((e11) = (op1 (e13) (e13))) -> False).
% 51.40/51.58 do 0 intro. intros zenon_H3d9 zenon_H11a zenon_Hcb zenon_Hf0 zenon_Hec zenon_Hf3 zenon_H15e zenon_H349 zenon_H3cb zenon_H2ea zenon_H3d2 zenon_H8c zenon_H7d zenon_H42 zenon_H35 zenon_H90 zenon_H304 zenon_H305 zenon_Hc8 zenon_Hb8 zenon_Hc2 zenon_He8 zenon_H4b zenon_Hcf zenon_H95 zenon_H10e zenon_Hb5 zenon_Hd3 zenon_Hde zenon_H123 zenon_H311 zenon_Haf zenon_H2c zenon_H1c zenon_Hab zenon_H54 zenon_He1 zenon_H41 zenon_Hea zenon_H9e zenon_H49 zenon_Hda zenon_Hb0 zenon_H3d zenon_H19.
% 51.40/51.58 apply (zenon_or_s _ _ zenon_H3d9); [ zenon_intro zenon_He6 | zenon_intro zenon_H3da ].
% 51.40/51.58 apply (zenon_L427_); trivial.
% 51.40/51.58 apply (zenon_or_s _ _ zenon_H3da); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H3db ].
% 51.40/51.58 apply (zenon_L65_); trivial.
% 51.40/51.58 apply (zenon_or_s _ _ zenon_H3db); [ zenon_intro zenon_H3d3 | zenon_intro zenon_Hcc ].
% 51.40/51.58 apply (zenon_L626_); trivial.
% 51.40/51.58 apply (zenon_L356_); trivial.
% 51.40/51.58 (* end of lemma zenon_L674_ *)
% 51.40/51.58 assert (zenon_L675_ : (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e11) = (op1 (e13) (e13))) -> (~((e11) = (e13))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> ((op1 (e13) (e10)) = (e12)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e12))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e10) = (e11))) -> (~((h4 (op1 (e12) (e12))) = (op2 (h4 (e12)) (h4 (e12))))) -> ((h4 (e13)) = (e23)) -> ((op2 (e22) (e22)) = (e23)) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e11)) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> False).
% 51.40/51.58 do 0 intro. intros zenon_H314 zenon_H2c9 zenon_H65 zenon_H72 zenon_H30d zenon_H19 zenon_H3d zenon_Hb0 zenon_Hda zenon_H49 zenon_H9e zenon_Hea zenon_H41 zenon_He1 zenon_H54 zenon_Hab zenon_Haf zenon_H311 zenon_H123 zenon_Hde zenon_Hb5 zenon_H10e zenon_H95 zenon_Hcf zenon_H4b zenon_He8 zenon_Hc2 zenon_Hb8 zenon_Hc8 zenon_H305 zenon_H90 zenon_H35 zenon_H42 zenon_H7d zenon_H8c zenon_H3d2 zenon_H2ea zenon_H3cb zenon_H349 zenon_H15e zenon_Hf3 zenon_Hec zenon_Hf0 zenon_Hcb zenon_H11a zenon_H3d9 zenon_H2c zenon_H1c zenon_Hd3.
% 51.40/51.58 apply (zenon_or_s _ _ zenon_H314); [ zenon_intro zenon_H7c | zenon_intro zenon_H315 ].
% 51.40/51.58 apply (zenon_L341_); trivial.
% 51.40/51.58 apply (zenon_or_s _ _ zenon_H315); [ zenon_intro zenon_H2c8 | zenon_intro zenon_H316 ].
% 51.40/51.58 apply (zenon_or_s _ _ zenon_H3d9); [ zenon_intro zenon_He6 | zenon_intro zenon_H3da ].
% 51.40/51.58 apply (zenon_L427_); trivial.
% 51.40/51.58 apply (zenon_or_s _ _ zenon_H3da); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H3db ].
% 51.40/51.58 apply (zenon_L65_); trivial.
% 51.40/51.58 apply (zenon_or_s _ _ zenon_H3db); [ zenon_intro zenon_H3d3 | zenon_intro zenon_Hcc ].
% 51.40/51.58 apply (zenon_L626_); trivial.
% 51.40/51.58 apply (zenon_L673_); trivial.
% 51.40/51.58 apply (zenon_or_s _ _ zenon_H316); [ zenon_intro zenon_H304 | zenon_intro zenon_Hd2 ].
% 51.40/51.58 apply (zenon_L674_); trivial.
% 51.40/51.58 apply (zenon_L45_); trivial.
% 51.40/51.58 (* end of lemma zenon_L675_ *)
% 51.40/51.58 assert (zenon_L676_ : (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e12) (e10)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e10) (e11)) = (e13)) -> ((op1 (e10) (e12)) = (e11)) -> ((op1 (e13) (e11)) = (e10)) -> ((op1 (e11) (e12)) = (e10)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((op2 (e22) (e22)) = (e23)) -> ((h4 (e13)) = (e23)) -> (~((h4 (op1 (e12) (e12))) = (op2 (h4 (e12)) (h4 (e12))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e12))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e13) (e10)) = (e13)) -> ((op1 (e11) (e13)) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> False).
% 51.40/51.58 do 0 intro. intros zenon_H3d9 zenon_Hb5 zenon_Hd3 zenon_H4b zenon_Hde zenon_H7c zenon_H305 zenon_H2ce zenon_H46 zenon_H11a zenon_Hbe zenon_H126 zenon_H12c zenon_H3dc zenon_Haf zenon_H2c zenon_H1c zenon_Hab zenon_H95 zenon_H9e zenon_Ha2 zenon_Hb0 zenon_H3d zenon_Hcb zenon_Hcf zenon_H15e zenon_H349 zenon_H3cb zenon_H2ea zenon_H3d2 zenon_H90 zenon_H35 zenon_H42 zenon_Hda zenon_H49 zenon_H65 zenon_H66 zenon_H51 zenon_H54 zenon_He1 zenon_H19 zenon_H8c.
% 51.40/51.58 apply (zenon_or_s _ _ zenon_H3d9); [ zenon_intro zenon_He6 | zenon_intro zenon_H3da ].
% 51.40/51.58 apply (zenon_L427_); trivial.
% 51.40/51.58 apply (zenon_or_s _ _ zenon_H3da); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H3db ].
% 51.40/51.58 apply (zenon_L659_); trivial.
% 51.40/51.58 apply (zenon_or_s _ _ zenon_H3db); [ zenon_intro zenon_H3d3 | zenon_intro zenon_Hcc ].
% 51.40/51.58 apply (zenon_L626_); trivial.
% 51.40/51.58 apply (zenon_L644_); trivial.
% 51.40/51.58 (* end of lemma zenon_L676_ *)
% 51.40/51.58 assert (zenon_L677_ : (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e13)) -> ((op1 (e13) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e13))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((h4 (op1 (e12) (e12))) = (op2 (h4 (e12)) (h4 (e12))))) -> ((h4 (e13)) = (e23)) -> ((op2 (e22) (e22)) = (e23)) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e13))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (e12)) = (e10)) -> ((op1 (e10) (e12)) = (e11)) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (e12) (e10)) = (e12)) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> False).
% 51.40/51.58 do 0 intro. intros zenon_Hc8 zenon_Hb8 zenon_He1 zenon_H54 zenon_H51 zenon_H66 zenon_H65 zenon_H49 zenon_Hda zenon_H42 zenon_H35 zenon_H90 zenon_H3d2 zenon_H2ea zenon_H3cb zenon_H349 zenon_H15e zenon_Hcf zenon_Hcb zenon_H3d zenon_Hb0 zenon_Ha2 zenon_H9e zenon_H95 zenon_Hab zenon_H2c zenon_Haf zenon_H3dc zenon_H12c zenon_H126 zenon_H11a zenon_H46 zenon_H2ce zenon_H305 zenon_H7c zenon_Hde zenon_H4b zenon_Hd3 zenon_Hb5 zenon_H3d9 zenon_Hc2 zenon_H1c zenon_H19 zenon_H8c.
% 51.40/51.58 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hc9 ].
% 51.40/51.58 apply (zenon_L39_); trivial.
% 51.40/51.58 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hca ].
% 51.40/51.58 apply (zenon_L676_); trivial.
% 51.40/51.58 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H8b ].
% 51.40/51.58 apply (zenon_L41_); trivial.
% 51.40/51.58 apply (zenon_L24_); trivial.
% 51.40/51.58 (* end of lemma zenon_L677_ *)
% 51.40/51.58 assert (zenon_L678_ : (~((e10) = (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e12) (e10)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e10) (e11)) = (e13)) -> ((op1 (e10) (e12)) = (e11)) -> ((op1 (e11) (e12)) = (e10)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((op2 (e22) (e22)) = (e23)) -> ((h4 (e13)) = (e23)) -> (~((h4 (op1 (e12) (e12))) = (op2 (h4 (e12)) (h4 (e12))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e12))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e12)) = (e13)) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((e11) = (e13))) -> ((e11) = (op1 (e13) (e13))) -> False).
% 51.40/51.58 do 0 intro. intros zenon_H8c zenon_Hc2 zenon_H3d9 zenon_Hb5 zenon_Hd3 zenon_H4b zenon_Hde zenon_H7c zenon_H305 zenon_H2ce zenon_H46 zenon_H11a zenon_H126 zenon_H12c zenon_H3dc zenon_H95 zenon_Ha2 zenon_Hcb zenon_Hcf zenon_H15e zenon_H349 zenon_H3cb zenon_H2ea zenon_H3d2 zenon_H90 zenon_H35 zenon_H42 zenon_H65 zenon_Hb8 zenon_Hc8 zenon_H314 zenon_H2c9 zenon_H72 zenon_H30d zenon_H311 zenon_H123 zenon_H10e zenon_H7d zenon_Hf3 zenon_Hec zenon_Hf0 zenon_H113 zenon_H31b zenon_Haf zenon_H2c zenon_H1c zenon_Hab zenon_H54 zenon_He1 zenon_H41 zenon_Hea zenon_H9e zenon_Hcc zenon_H49 zenon_Hda zenon_Hb0 zenon_H3d zenon_H19.
% 51.40/51.58 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H4a | zenon_intro zenon_Hb6 ].
% 51.40/51.58 apply (zenon_L335_); trivial.
% 51.40/51.58 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H51 | zenon_intro zenon_Hb7 ].
% 51.40/51.58 apply (zenon_or_s _ _ zenon_H31b); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H31c ].
% 51.40/51.58 apply (zenon_L39_); trivial.
% 51.40/51.58 apply (zenon_or_s _ _ zenon_H31c); [ zenon_intro zenon_H114 | zenon_intro zenon_H31d ].
% 51.40/51.58 apply (zenon_L82_); trivial.
% 51.40/51.58 apply (zenon_or_s _ _ zenon_H31d); [ zenon_intro zenon_He8 | zenon_intro zenon_H66 ].
% 51.40/51.58 apply (zenon_L675_); trivial.
% 51.40/51.58 apply (zenon_L677_); trivial.
% 51.40/51.58 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb3 ].
% 51.40/51.58 apply (zenon_L355_); trivial.
% 51.40/51.58 apply (zenon_L37_); trivial.
% 51.40/51.58 (* end of lemma zenon_L678_ *)
% 51.40/51.58 assert (zenon_L679_ : ((e11) = (op1 (e13) (e13))) -> (~((e11) = (e13))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> ((op1 (e13) (e12)) = (e13)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((e10) = (e13))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((h4 (op1 (e12) (e12))) = (op2 (h4 (e12)) (h4 (e12))))) -> ((h4 (e13)) = (e23)) -> ((op2 (e22) (e22)) = (e23)) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (e12)) = (e10)) -> ((op1 (e10) (e12)) = (e11)) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (e12) (e10)) = (e12)) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> False).
% 51.40/51.58 do 0 intro. intros zenon_H19 zenon_H3d zenon_Hb0 zenon_Hcc zenon_H9e zenon_Hea zenon_H41 zenon_He1 zenon_H54 zenon_Haf zenon_H31b zenon_H113 zenon_Hf0 zenon_Hec zenon_Hf3 zenon_H7d zenon_H10e zenon_H123 zenon_H311 zenon_H30d zenon_H72 zenon_H2c9 zenon_H314 zenon_Hc8 zenon_Hb8 zenon_H65 zenon_H42 zenon_H35 zenon_H90 zenon_H3d2 zenon_H2ea zenon_H3cb zenon_H349 zenon_H15e zenon_Hcf zenon_Hcb zenon_Ha2 zenon_H95 zenon_H3dc zenon_H12c zenon_H126 zenon_H11a zenon_H46 zenon_H2ce zenon_H305 zenon_H7c zenon_Hde zenon_H4b zenon_Hb5 zenon_H3d9 zenon_Hc2 zenon_H8c zenon_Hab zenon_Hd3 zenon_H2c zenon_H1c zenon_Hda.
% 51.40/51.58 apply (zenon_or_s _ _ zenon_Hde); [ zenon_intro zenon_H49 | zenon_intro zenon_Hdf ].
% 51.40/51.58 apply (zenon_L678_); trivial.
% 51.40/51.58 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_Haa | zenon_intro zenon_He0 ].
% 51.40/51.58 apply (zenon_L34_); trivial.
% 51.40/51.58 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hd2 | zenon_intro zenon_Hd9 ].
% 51.40/51.58 apply (zenon_L45_); trivial.
% 51.40/51.58 apply (zenon_L46_); trivial.
% 51.40/51.58 (* end of lemma zenon_L679_ *)
% 51.40/51.58 assert (zenon_L680_ : ((e11) = (op1 (e13) (e13))) -> (~((e11) = (e13))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((e10) = (e13))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((h4 (op1 (e12) (e12))) = (op2 (h4 (e12)) (h4 (e12))))) -> ((h4 (e13)) = (e23)) -> ((op2 (e22) (e22)) = (e23)) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (e12)) = (e10)) -> ((op1 (e10) (e12)) = (e11)) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (e12) (e10)) = (e12)) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> False).
% 51.40/51.58 do 0 intro. intros zenon_H19 zenon_H3d zenon_Hb0 zenon_H9e zenon_Hea zenon_H41 zenon_He1 zenon_H54 zenon_Haf zenon_H31b zenon_H113 zenon_Hf0 zenon_Hec zenon_Hf3 zenon_H7d zenon_H10e zenon_H123 zenon_H311 zenon_H30d zenon_H72 zenon_H2c9 zenon_H314 zenon_Hc8 zenon_Hb8 zenon_H65 zenon_H42 zenon_H35 zenon_H90 zenon_H3d2 zenon_H2ea zenon_H3cb zenon_H349 zenon_H15e zenon_Hcf zenon_Hcb zenon_Ha2 zenon_H95 zenon_H3dc zenon_H12c zenon_H126 zenon_H11a zenon_H46 zenon_H2ce zenon_H305 zenon_H7c zenon_Hde zenon_H4b zenon_Hb5 zenon_H3d9 zenon_Hc2 zenon_H8c zenon_Hab zenon_Hd3 zenon_H2c zenon_H1c zenon_Hda.
% 51.40/51.58 apply (zenon_or_s _ _ zenon_H3d9); [ zenon_intro zenon_He6 | zenon_intro zenon_H3da ].
% 51.40/51.58 apply (zenon_L427_); trivial.
% 51.40/51.58 apply (zenon_or_s _ _ zenon_H3da); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H3db ].
% 51.40/51.58 apply (zenon_L671_); trivial.
% 51.40/51.58 apply (zenon_or_s _ _ zenon_H3db); [ zenon_intro zenon_H3d3 | zenon_intro zenon_Hcc ].
% 51.40/51.58 apply (zenon_L626_); trivial.
% 51.40/51.58 apply (zenon_L679_); trivial.
% 51.40/51.58 (* end of lemma zenon_L680_ *)
% 51.40/51.58 assert (zenon_L681_ : (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e13) (e10)) = (e13)) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((e10) = (e12))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e12) (e10)) = (e12)) -> (~((e11) = (e12))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> ((op1 (e10) (e10)) = (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 (e10) (e10)) = (op1 (e10) (e13)))) -> (((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 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((h4 (op1 (e12) (e12))) = (op2 (h4 (e12)) (h4 (e12))))) -> ((h4 (e13)) = (e23)) -> ((op2 (e22) (e22)) = (e23)) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((op1 (e10) (e12)) = (e11)) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((op1 (e10) (e10)) = (e11)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((e10) = (e11))) -> ((e11) = (op1 (e13) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e13))) -> False).
% 51.40/51.58 do 0 intro. intros zenon_Hf6 zenon_H54 zenon_H125 zenon_H314 zenon_H72 zenon_H30d zenon_H311 zenon_H123 zenon_H10e zenon_H7d zenon_H113 zenon_H31b zenon_Hb0 zenon_Haf zenon_H3dc zenon_H12c zenon_H305 zenon_H90 zenon_H46 zenon_H2ce zenon_H66 zenon_H2c9 zenon_H35 zenon_Hf3 zenon_Hec zenon_Hf0 zenon_H327 zenon_H7c zenon_H10b zenon_H33e zenon_Hfb zenon_H23 zenon_Hff zenon_H2e0 zenon_H2b zenon_Hfe zenon_H318 zenon_Hf8 zenon_Hea zenon_He1 zenon_H3d2 zenon_H2ea zenon_H3cb zenon_H349 zenon_H15e zenon_H11a zenon_H3d9 zenon_H45 zenon_H2ba zenon_H3b zenon_H105 zenon_H1b zenon_H2d4 zenon_H8c zenon_H19 zenon_H1c zenon_Hc2 zenon_Hde zenon_H3d zenon_Hcb zenon_Hb5 zenon_H4b zenon_Ha2 zenon_H9e zenon_H65 zenon_H95 zenon_Hcf zenon_Hab zenon_Hd3 zenon_H2c zenon_Hda zenon_Hb8 zenon_Hc8 zenon_H42.
% 51.40/51.58 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H33 | zenon_intro zenon_H2e2 ].
% 51.40/51.58 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H108 | zenon_intro zenon_H319 ].
% 51.40/51.59 apply (zenon_L74_); trivial.
% 51.40/51.59 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H30b | zenon_intro zenon_H31a ].
% 51.40/51.59 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hc9 ].
% 51.40/51.59 apply (zenon_L39_); trivial.
% 51.40/51.59 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hca ].
% 51.40/51.59 apply (zenon_L656_); trivial.
% 51.40/51.59 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H8b ].
% 51.40/51.59 apply (zenon_L41_); trivial.
% 51.40/51.59 apply (zenon_L24_); trivial.
% 51.40/51.59 apply (zenon_or_s _ _ zenon_H31a); [ zenon_intro zenon_H129 | zenon_intro zenon_Ha5 ].
% 51.40/51.59 apply (zenon_L482_); trivial.
% 51.40/51.59 apply (zenon_L33_); trivial.
% 51.40/51.59 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2e3 ].
% 51.40/51.59 apply (zenon_L283_); trivial.
% 51.40/51.59 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H126 | zenon_intro zenon_H50 ].
% 51.40/51.59 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H108 | zenon_intro zenon_H319 ].
% 51.40/51.59 apply (zenon_L669_); trivial.
% 51.40/51.59 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H30b | zenon_intro zenon_H31a ].
% 51.40/51.59 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H41 | zenon_intro zenon_Hf9 ].
% 51.40/51.59 apply (zenon_L680_); trivial.
% 51.40/51.59 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H47 | zenon_intro zenon_Hfa ].
% 51.40/51.59 apply (zenon_L13_); trivial.
% 51.40/51.59 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H51 ].
% 51.40/51.59 apply (zenon_L671_); trivial.
% 51.40/51.59 apply (zenon_L655_); trivial.
% 51.40/51.59 apply (zenon_or_s _ _ zenon_H31a); [ zenon_intro zenon_H129 | zenon_intro zenon_Ha5 ].
% 51.40/51.59 apply (zenon_L482_); trivial.
% 51.40/51.59 apply (zenon_L33_); trivial.
% 51.40/51.59 apply (zenon_L652_); trivial.
% 51.40/51.59 (* end of lemma zenon_L681_ *)
% 51.40/51.59 assert (zenon_L682_ : (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e10) = (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) (e10)) = (op1 (e10) (e11)))) -> ((op1 (e10) (e10)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((op2 (e22) (e22)) = (e23)) -> ((h4 (e13)) = (e23)) -> (~((h4 (op1 (e12) (e12))) = (op2 (h4 (e12)) (h4 (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((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)) = (e10)) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((e11) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e13) (e10)) = (e13)) -> ((op1 (e10) (e11)) = (e13)) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> ((op1 (e11) (e11)) = (e12)) -> ((op1 (e12) (e10)) = (e12)) -> ((op1 (e13) (e12)) = (e12)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e12) (e13)) = (e10)) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e13))) -> ((op1 (e13) (e11)) = (e10)) -> ((op1 (e11) (e12)) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e13))) -> ((e11) = (op1 (e13) (e13))) -> False).
% 51.40/51.59 do 0 intro. intros zenon_H2d1 zenon_Hc8 zenon_Hb8 zenon_Hda zenon_Hd3 zenon_Hde zenon_Hc2 zenon_H8c zenon_H2d4 zenon_H1b zenon_H105 zenon_H3b zenon_H2ba zenon_H45 zenon_H3d9 zenon_H15e zenon_H349 zenon_H3cb zenon_H2ea zenon_H3d2 zenon_He1 zenon_Hea zenon_Hf8 zenon_H318 zenon_Hfe zenon_H2b zenon_H2e0 zenon_Hff zenon_H23 zenon_Hfb zenon_H33e zenon_H10b zenon_H327 zenon_Hf0 zenon_Hec zenon_Hf3 zenon_H35 zenon_H2c9 zenon_H66 zenon_H46 zenon_H90 zenon_H305 zenon_H12c zenon_H3dc zenon_H31b zenon_H113 zenon_H7d zenon_H10e zenon_H123 zenon_H311 zenon_H30d zenon_H314 zenon_H125 zenon_Hf6 zenon_H2c6 zenon_H7c zenon_Hf1 zenon_H33a zenon_Hcf zenon_Hb0 zenon_Ha2 zenon_H9e zenon_H65 zenon_H95 zenon_H49 zenon_H54 zenon_Hab zenon_H1c zenon_H2c zenon_Haf zenon_H2ce zenon_H62 zenon_H72 zenon_H4b zenon_Hb5 zenon_H42 zenon_Hbe zenon_Ha3 zenon_Hcb zenon_H3d zenon_H19.
% 51.40/51.59 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H22 | zenon_intro zenon_H2d2 ].
% 51.40/51.59 apply (zenon_L38_); trivial.
% 51.40/51.59 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H11a | zenon_intro zenon_H2d3 ].
% 51.40/51.59 apply (zenon_L681_); trivial.
% 51.40/51.59 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H2bf | zenon_intro zenon_He6 ].
% 51.40/51.59 apply (zenon_L445_); trivial.
% 51.40/51.59 apply (zenon_L293_); trivial.
% 51.40/51.59 (* end of lemma zenon_L682_ *)
% 51.40/51.59 assert (zenon_L683_ : (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e12)) = (e13)) -> ((op1 (e13) (e11)) = (e10)) -> (~((e10) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e12)) = (e12)) -> ((op1 (e12) (e10)) = (e12)) -> ((op1 (e11) (e11)) = (e12)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op1 (e10) (e11)) = (e13)) -> ((op1 (e13) (e10)) = (e13)) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((e10) = (e12))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e11) = (e12))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> ((op1 (e10) (e10)) = (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 (e10) (e10)) = (op1 (e10) (e13)))) -> (((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 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((h4 (op1 (e12) (e12))) = (op2 (h4 (e12)) (h4 (e12))))) -> ((h4 (e13)) = (e23)) -> ((op2 (e22) (e22)) = (e23)) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((op1 (e10) (e10)) = (e11)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> False).
% 51.40/51.59 do 0 intro. intros zenon_H2db zenon_H2ff zenon_H3d zenon_Hcb zenon_Ha3 zenon_Hbe zenon_H42 zenon_Hb5 zenon_H4b zenon_H72 zenon_H2ce zenon_Haf zenon_H2c zenon_H1c zenon_Hab zenon_H54 zenon_H49 zenon_H95 zenon_H65 zenon_H9e zenon_Ha2 zenon_Hb0 zenon_Hcf zenon_H33a zenon_Hf1 zenon_H7c zenon_H2c6 zenon_Hf6 zenon_H125 zenon_H314 zenon_H30d zenon_H311 zenon_H123 zenon_H10e zenon_H7d zenon_H113 zenon_H31b zenon_H3dc zenon_H12c zenon_H305 zenon_H90 zenon_H46 zenon_H66 zenon_H2c9 zenon_H35 zenon_Hf3 zenon_Hec zenon_Hf0 zenon_H327 zenon_H10b zenon_H33e zenon_Hfb zenon_H23 zenon_Hff zenon_H2e0 zenon_H2b zenon_Hfe zenon_H318 zenon_Hf8 zenon_Hea zenon_He1 zenon_H3d2 zenon_H2ea zenon_H3cb zenon_H349 zenon_H15e zenon_H3d9 zenon_H45 zenon_H2ba zenon_H3b zenon_H105 zenon_H1b zenon_H2d4 zenon_Hc2 zenon_Hde zenon_Hd3 zenon_Hda zenon_Hb8 zenon_Hc8 zenon_H2d1 zenon_H19 zenon_H8c.
% 51.40/51.59 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H4e | zenon_intro zenon_H91 ].
% 51.40/51.59 apply (zenon_L16_); trivial.
% 51.40/51.59 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H50 | zenon_intro zenon_H92 ].
% 51.40/51.59 apply (zenon_L636_); trivial.
% 51.40/51.59 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H62 | zenon_intro zenon_H8b ].
% 51.40/51.59 apply (zenon_L682_); trivial.
% 51.40/51.59 apply (zenon_L24_); trivial.
% 51.40/51.59 (* end of lemma zenon_L683_ *)
% 51.40/51.59 assert (zenon_L684_ : (~((e10) = (e11))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e11)) = (op1 (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) (e10)) = (op1 (e10) (e11)))) -> ((op1 (e10) (e10)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((op2 (e22) (e22)) = (e23)) -> ((h4 (e13)) = (e23)) -> (~((h4 (op1 (e12) (e12))) = (op2 (h4 (e12)) (h4 (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((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)) = (e10)) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((e11) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e10) (e11)) = (e13)) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> ((op1 (e11) (e11)) = (e12)) -> ((op1 (e12) (e10)) = (e12)) -> ((op1 (e13) (e12)) = (e12)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((e10) = (e13))) -> ((op1 (e13) (e11)) = (e10)) -> ((op1 (e11) (e12)) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e13))) -> ((e11) = (op1 (e13) (e13))) -> False).
% 51.40/51.59 do 0 intro. intros zenon_H8c zenon_H2d1 zenon_Hc8 zenon_Hb8 zenon_Hda zenon_Hd3 zenon_Hde zenon_Hc2 zenon_H2d4 zenon_H1b zenon_H105 zenon_H3b zenon_H2ba zenon_H45 zenon_H3d9 zenon_H15e zenon_H349 zenon_H3cb zenon_H2ea zenon_H3d2 zenon_He1 zenon_Hea zenon_Hf8 zenon_H318 zenon_Hfe zenon_H2b zenon_H2e0 zenon_Hff zenon_H23 zenon_Hfb zenon_H33e zenon_H10b zenon_H327 zenon_Hf0 zenon_Hec zenon_Hf3 zenon_H35 zenon_H2c9 zenon_H46 zenon_H90 zenon_H305 zenon_H12c zenon_H3dc zenon_H31b zenon_H113 zenon_H7d zenon_H10e zenon_H123 zenon_H311 zenon_H30d zenon_H314 zenon_H125 zenon_Hf6 zenon_H2c6 zenon_H7c zenon_Hf1 zenon_H33a zenon_Hcf zenon_Hb0 zenon_Ha2 zenon_H9e zenon_H65 zenon_H95 zenon_H49 zenon_H54 zenon_Hab zenon_H1c zenon_H2c zenon_Haf zenon_H2ce zenon_H72 zenon_H4b zenon_Hb5 zenon_H2ff zenon_H2db zenon_H42 zenon_Hbe zenon_Ha3 zenon_Hcb zenon_H3d zenon_H19.
% 51.40/51.59 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H66 | zenon_intro zenon_Hd0 ].
% 51.40/51.59 apply (zenon_L683_); trivial.
% 51.40/51.59 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hd1 ].
% 51.40/51.59 apply (zenon_L40_); trivial.
% 51.40/51.59 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hb3 ].
% 51.40/51.59 apply (zenon_L43_); trivial.
% 51.40/51.59 apply (zenon_L37_); trivial.
% 51.40/51.59 (* end of lemma zenon_L684_ *)
% 51.40/51.59 assert (zenon_L685_ : (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((e10) = (e11))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e11)) = (op1 (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) (e10)) = (op1 (e10) (e11)))) -> ((op1 (e10) (e10)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((op2 (e22) (e22)) = (e23)) -> ((h4 (e13)) = (e23)) -> (~((h4 (op1 (e12) (e12))) = (op2 (h4 (e12)) (h4 (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((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)) = (e10)) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((e11) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e10) (e11)) = (e13)) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> ((op1 (e11) (e11)) = (e12)) -> ((op1 (e12) (e10)) = (e12)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((e10) = (e13))) -> ((op1 (e13) (e11)) = (e10)) -> ((op1 (e11) (e12)) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e13))) -> ((e11) = (op1 (e13) (e13))) -> False).
% 51.40/51.59 do 0 intro. intros zenon_H31e zenon_H8c zenon_H2d1 zenon_Hc8 zenon_Hb8 zenon_Hda zenon_Hd3 zenon_Hde zenon_Hc2 zenon_H2d4 zenon_H1b zenon_H105 zenon_H3b zenon_H2ba zenon_H45 zenon_H3d9 zenon_H15e zenon_H349 zenon_H3cb zenon_H2ea zenon_H3d2 zenon_He1 zenon_Hea zenon_Hf8 zenon_H318 zenon_Hfe zenon_H2b zenon_H2e0 zenon_Hff zenon_H23 zenon_Hfb zenon_H33e zenon_H10b zenon_H327 zenon_Hf0 zenon_Hec zenon_Hf3 zenon_H35 zenon_H2c9 zenon_H46 zenon_H90 zenon_H305 zenon_H12c zenon_H3dc zenon_H31b zenon_H113 zenon_H7d zenon_H10e zenon_H123 zenon_H311 zenon_H30d zenon_H314 zenon_H125 zenon_Hf6 zenon_H2c6 zenon_H7c zenon_H33a zenon_Hcf zenon_Hb0 zenon_Ha2 zenon_H9e zenon_H65 zenon_H95 zenon_H49 zenon_H54 zenon_Hab zenon_H1c zenon_H2c zenon_Haf zenon_H2ce zenon_H72 zenon_H4b zenon_Hb5 zenon_H2ff zenon_H2db zenon_H42 zenon_Hbe zenon_Ha3 zenon_Hcb zenon_H3d zenon_H19.
% 51.40/51.59 apply (zenon_or_s _ _ zenon_H31e); [ zenon_intro zenon_H2bf | zenon_intro zenon_H31f ].
% 51.40/51.59 apply (zenon_L643_); trivial.
% 51.40/51.59 apply (zenon_or_s _ _ zenon_H31f); [ zenon_intro zenon_H12b | zenon_intro zenon_H320 ].
% 51.40/51.59 apply (zenon_L466_); trivial.
% 51.40/51.59 apply (zenon_or_s _ _ zenon_H320); [ zenon_intro zenon_H304 | zenon_intro zenon_Hf1 ].
% 51.40/51.59 apply (zenon_L334_); trivial.
% 51.40/51.59 apply (zenon_L684_); trivial.
% 51.40/51.59 (* end of lemma zenon_L685_ *)
% 51.40/51.59 assert (zenon_L686_ : (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e12)) = (e13)) -> (~((e10) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e10)) = (e12)) -> ((op1 (e11) (e11)) = (e12)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((e10) = (e12))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e11) = (e12))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> ((op1 (e10) (e10)) = (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 (e10) (e10)) = (op1 (e10) (e13)))) -> (((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 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((h4 (op1 (e12) (e12))) = (op2 (h4 (e12)) (h4 (e12))))) -> ((h4 (e13)) = (e23)) -> ((op2 (e22) (e22)) = (e23)) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((op1 (e10) (e10)) = (e11)) -> (~((op1 (e10) (e10)) = (op1 (e10) (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) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> False).
% 51.40/51.59 do 0 intro. intros zenon_H3d zenon_Hcb zenon_Ha3 zenon_H42 zenon_H2db zenon_H2ff zenon_Hb5 zenon_H4b zenon_H72 zenon_H2ce zenon_Haf zenon_H2c zenon_Hab zenon_H54 zenon_H49 zenon_H95 zenon_H65 zenon_H9e zenon_Ha2 zenon_Hb0 zenon_Hcf zenon_H33a zenon_H7c zenon_H2c6 zenon_Hf6 zenon_H125 zenon_H314 zenon_H30d zenon_H311 zenon_H123 zenon_H10e zenon_H7d zenon_H113 zenon_H31b zenon_H3dc zenon_H12c zenon_H305 zenon_H90 zenon_H46 zenon_H2c9 zenon_H35 zenon_Hf3 zenon_Hec zenon_Hf0 zenon_H327 zenon_H10b zenon_H33e zenon_Hfb zenon_H23 zenon_Hff zenon_H2e0 zenon_H2b zenon_Hfe zenon_H318 zenon_Hf8 zenon_Hea zenon_He1 zenon_H3d2 zenon_H2ea zenon_H3cb zenon_H349 zenon_H15e zenon_H3d9 zenon_H45 zenon_H2ba zenon_H3b zenon_H105 zenon_H1b zenon_H2d4 zenon_Hde zenon_Hd3 zenon_Hda zenon_Hb8 zenon_Hc8 zenon_H2d1 zenon_H31e zenon_Hc2 zenon_H1c zenon_H19 zenon_H8c.
% 51.40/51.59 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hc9 ].
% 51.40/51.59 apply (zenon_L39_); trivial.
% 51.40/51.59 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hca ].
% 51.40/51.59 apply (zenon_L685_); trivial.
% 51.40/51.59 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H8b ].
% 51.40/51.59 apply (zenon_L41_); trivial.
% 51.40/51.59 apply (zenon_L24_); trivial.
% 51.40/51.59 (* end of lemma zenon_L686_ *)
% 51.40/51.59 assert (zenon_L687_ : (~((e11) = (e13))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> ((op1 (e13) (e12)) = (e13)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((e11) = (e12))) -> ((op1 (e10) (e10)) = (e10)) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((e12) = (e13))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((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))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((h4 (op1 (e12) (e12))) = (op2 (h4 (e12)) (h4 (e12))))) -> ((h4 (e13)) = (e23)) -> ((op2 (e22) (e22)) = (e23)) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((op1 (e10) (e10)) = (e11)) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> False).
% 51.40/51.59 do 0 intro. intros zenon_H3d zenon_Hb0 zenon_Hda zenon_H49 zenon_Hcc zenon_H9e zenon_Hea zenon_H41 zenon_He1 zenon_H54 zenon_Hab zenon_H1c zenon_H2c zenon_Haf zenon_H327 zenon_Hf6 zenon_H2b zenon_Hfe zenon_H10b zenon_H23 zenon_H2e1 zenon_Ha2 zenon_Hff zenon_H105 zenon_H117 zenon_H324 zenon_H24 zenon_H12c zenon_H128 zenon_H131 zenon_H31b zenon_H113 zenon_H4b zenon_Hf8 zenon_Hb5 zenon_H45 zenon_Hcb zenon_Hf0 zenon_Hec zenon_Hf3 zenon_Hc8 zenon_Hb8 zenon_H7d zenon_H42 zenon_Hcf zenon_H35 zenon_H90 zenon_Hc2 zenon_H2e0 zenon_H314 zenon_H30d zenon_H2d4 zenon_H1b zenon_H2ba zenon_H2ff zenon_H305 zenon_H95 zenon_H10e zenon_H123 zenon_H311 zenon_H3d2 zenon_H2ea zenon_H3cb zenon_H349 zenon_H15e zenon_H72 zenon_H2ce zenon_H2db zenon_H3d9 zenon_H318 zenon_H3b zenon_Hfb zenon_Hde zenon_H65 zenon_Hd3 zenon_H19 zenon_H8c.
% 51.40/51.59 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H4e | zenon_intro zenon_H91 ].
% 51.40/51.59 apply (zenon_L16_); trivial.
% 51.40/51.59 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H50 | zenon_intro zenon_H92 ].
% 51.40/51.59 apply (zenon_L93_); trivial.
% 51.40/51.59 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H62 | zenon_intro zenon_H8b ].
% 51.40/51.59 apply (zenon_L633_); trivial.
% 51.40/51.59 apply (zenon_L24_); trivial.
% 51.40/51.59 (* end of lemma zenon_L687_ *)
% 51.40/51.59 assert (zenon_L688_ : ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (e10) (e10)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((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)) = (e10)) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((e11) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> ((op1 (e11) (e11)) = (e12)) -> ((op1 (e12) (e10)) = (e12)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e13))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((op2 (e22) (e22)) = (e23)) -> ((h4 (e13)) = (e23)) -> (~((h4 (op1 (e12) (e12))) = (op2 (h4 (e12)) (h4 (e12))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e12))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e12) (e10)) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> False).
% 51.40/51.59 do 0 intro. intros zenon_H1c zenon_Hc2 zenon_H31e zenon_H2d1 zenon_Hc8 zenon_Hb8 zenon_Hd3 zenon_Hde zenon_H2d4 zenon_H1b zenon_H105 zenon_H3b zenon_H2ba zenon_H45 zenon_H3d9 zenon_Hea zenon_Hf8 zenon_H318 zenon_Hfe zenon_H2b zenon_H2e0 zenon_Hff zenon_H23 zenon_Hfb zenon_H33e zenon_H10b zenon_H327 zenon_Hf0 zenon_Hec zenon_Hf3 zenon_H2c9 zenon_H46 zenon_H305 zenon_H12c zenon_H3dc zenon_H31b zenon_H113 zenon_H10e zenon_H123 zenon_H311 zenon_H30d zenon_H314 zenon_H125 zenon_Hf6 zenon_H2c6 zenon_H7c zenon_H33a zenon_Hcf zenon_Hb0 zenon_Ha2 zenon_H9e zenon_H65 zenon_H95 zenon_Hab zenon_H2c zenon_Haf zenon_H2ce zenon_H72 zenon_H4b zenon_Hb5 zenon_H2ff zenon_H2db zenon_Hcb zenon_H3d zenon_H15e zenon_H349 zenon_H3cb zenon_H2ea zenon_H3d2 zenon_H90 zenon_H35 zenon_H42 zenon_Hda zenon_H49 zenon_H7d zenon_He2 zenon_H54 zenon_He1 zenon_H19 zenon_H8c.
% 51.40/51.59 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H41 | zenon_intro zenon_Hf9 ].
% 51.40/51.59 apply (zenon_or_s _ _ zenon_H3d9); [ zenon_intro zenon_He6 | zenon_intro zenon_H3da ].
% 51.40/51.59 apply (zenon_L638_); trivial.
% 51.40/51.59 apply (zenon_or_s _ _ zenon_H3da); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H3db ].
% 51.40/51.59 apply (zenon_L686_); trivial.
% 51.40/51.59 apply (zenon_or_s _ _ zenon_H3db); [ zenon_intro zenon_H3d3 | zenon_intro zenon_Hcc ].
% 51.40/51.59 apply (zenon_L626_); trivial.
% 51.40/51.59 apply (zenon_L373_); trivial.
% 51.40/51.59 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H47 | zenon_intro zenon_Hfa ].
% 51.40/51.59 apply (zenon_L13_); trivial.
% 51.40/51.59 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H51 ].
% 51.40/51.59 apply (zenon_L686_); trivial.
% 51.40/51.59 apply (zenon_or_s _ _ zenon_H3d9); [ zenon_intro zenon_He6 | zenon_intro zenon_H3da ].
% 51.40/51.59 apply (zenon_L320_); trivial.
% 51.40/51.59 apply (zenon_or_s _ _ zenon_H3da); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H3db ].
% 51.40/51.59 apply (zenon_L686_); trivial.
% 51.40/51.59 apply (zenon_or_s _ _ zenon_H3db); [ zenon_intro zenon_H3d3 | zenon_intro zenon_Hcc ].
% 51.40/51.59 apply (zenon_L626_); trivial.
% 51.40/51.59 apply (zenon_L52_); trivial.
% 51.40/51.59 (* end of lemma zenon_L688_ *)
% 51.40/51.59 assert (zenon_L689_ : (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e12)) = (e13)) -> ((op1 (e13) (e11)) = (e10)) -> (~((e10) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e10)) = (e12)) -> ((op1 (e11) (e11)) = (e12)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op1 (e10) (e11)) = (e13)) -> ((op1 (e13) (e10)) = (e13)) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((e10) = (e12))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e11) = (e12))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> ((op1 (e10) (e10)) = (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 (e10) (e10)) = (op1 (e10) (e13)))) -> (((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 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((h4 (op1 (e12) (e12))) = (op2 (h4 (e12)) (h4 (e12))))) -> ((h4 (e13)) = (e23)) -> ((op2 (e22) (e22)) = (e23)) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((op1 (e10) (e10)) = (e11)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> False).
% 51.40/51.59 do 0 intro. intros zenon_H31e zenon_H2db zenon_H2ff zenon_H3d zenon_Hcb zenon_Ha3 zenon_Hbe zenon_H42 zenon_Hb5 zenon_H4b zenon_H72 zenon_H2ce zenon_Haf zenon_H2c zenon_H1c zenon_Hab zenon_H54 zenon_H49 zenon_H95 zenon_H65 zenon_H9e zenon_Ha2 zenon_Hb0 zenon_Hcf zenon_H33a zenon_H7c zenon_H2c6 zenon_Hf6 zenon_H125 zenon_H314 zenon_H30d zenon_H311 zenon_H123 zenon_H10e zenon_H7d zenon_H113 zenon_H31b zenon_H3dc zenon_H12c zenon_H305 zenon_H90 zenon_H46 zenon_H66 zenon_H2c9 zenon_H35 zenon_Hf3 zenon_Hec zenon_Hf0 zenon_H327 zenon_H10b zenon_H33e zenon_Hfb zenon_H23 zenon_Hff zenon_H2e0 zenon_H2b zenon_Hfe zenon_H318 zenon_Hf8 zenon_Hea zenon_He1 zenon_H3d2 zenon_H2ea zenon_H3cb zenon_H349 zenon_H15e zenon_H3d9 zenon_H45 zenon_H2ba zenon_H3b zenon_H105 zenon_H1b zenon_H2d4 zenon_Hc2 zenon_Hde zenon_Hd3 zenon_Hda zenon_Hb8 zenon_Hc8 zenon_H2d1 zenon_H19 zenon_H8c.
% 51.40/51.59 apply (zenon_or_s _ _ zenon_H31e); [ zenon_intro zenon_H2bf | zenon_intro zenon_H31f ].
% 51.40/51.59 apply (zenon_L643_); trivial.
% 51.40/51.59 apply (zenon_or_s _ _ zenon_H31f); [ zenon_intro zenon_H12b | zenon_intro zenon_H320 ].
% 51.40/51.59 apply (zenon_L466_); trivial.
% 51.40/51.59 apply (zenon_or_s _ _ zenon_H320); [ zenon_intro zenon_H304 | zenon_intro zenon_Hf1 ].
% 51.40/51.59 apply (zenon_L334_); trivial.
% 51.40/51.59 apply (zenon_L683_); trivial.
% 51.40/51.59 (* end of lemma zenon_L689_ *)
% 51.40/51.59 assert (zenon_L690_ : (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (e10) (e10)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((op2 (e22) (e22)) = (e23)) -> ((h4 (e13)) = (e23)) -> (~((h4 (op1 (e12) (e12))) = (op2 (h4 (e12)) (h4 (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((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)) = (e10)) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((e11) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e13) (e10)) = (e13)) -> ((op1 (e10) (e11)) = (e13)) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> ((op1 (e11) (e11)) = (e12)) -> ((op1 (e12) (e10)) = (e12)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e13))) -> ((op1 (e11) (e12)) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> False).
% 51.40/51.59 do 0 intro. intros zenon_H2d1 zenon_Hc8 zenon_Hb8 zenon_Hda zenon_Hd3 zenon_Hde zenon_H2d4 zenon_H1b zenon_H105 zenon_H3b zenon_H2ba zenon_H45 zenon_H3d9 zenon_H15e zenon_H349 zenon_H3cb zenon_H2ea zenon_H3d2 zenon_He1 zenon_Hea zenon_Hf8 zenon_H318 zenon_Hfe zenon_H2b zenon_H2e0 zenon_Hff zenon_H23 zenon_Hfb zenon_H33e zenon_H10b zenon_H327 zenon_Hf0 zenon_Hec zenon_Hf3 zenon_H35 zenon_H2c9 zenon_H66 zenon_H46 zenon_H90 zenon_H305 zenon_H12c zenon_H3dc zenon_H31b zenon_H113 zenon_H7d zenon_H10e zenon_H123 zenon_H311 zenon_H30d zenon_H314 zenon_H125 zenon_Hf6 zenon_H2c6 zenon_H7c zenon_H33a zenon_Hcf zenon_Hb0 zenon_Ha2 zenon_H9e zenon_H65 zenon_H95 zenon_H49 zenon_H54 zenon_Hab zenon_H2c zenon_Haf zenon_H2ce zenon_H72 zenon_H4b zenon_Hb5 zenon_H42 zenon_Ha3 zenon_Hcb zenon_H3d zenon_H2ff zenon_H2db zenon_H31e zenon_Hc2 zenon_H1c zenon_H19 zenon_H8c.
% 51.40/51.59 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hc9 ].
% 51.40/51.59 apply (zenon_L39_); trivial.
% 51.40/51.59 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hca ].
% 51.40/51.59 apply (zenon_L689_); trivial.
% 51.40/51.59 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H8b ].
% 51.40/51.59 apply (zenon_L41_); trivial.
% 51.40/51.59 apply (zenon_L24_); trivial.
% 51.40/51.59 (* end of lemma zenon_L690_ *)
% 51.40/51.59 assert (zenon_L691_ : (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e10)) = (e12)) -> ((op1 (e11) (e11)) = (e12)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e11) = (e12))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> ((op1 (e10) (e10)) = (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 (e10) (e10)) = (op1 (e10) (e13)))) -> (((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 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((op1 (e10) (e10)) = (e11)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((op2 (e22) (e22)) = (e23)) -> ((h4 (e13)) = (e23)) -> (~((h4 (op1 (e12) (e12))) = (op2 (h4 (e12)) (h4 (e12))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e12))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e13)) -> ((op1 (e13) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> False).
% 51.40/51.60 do 0 intro. intros zenon_Hc2 zenon_H31e zenon_H2db zenon_H2ff zenon_H3d zenon_Hcb zenon_Hb5 zenon_H4b zenon_H72 zenon_H2ce zenon_Haf zenon_H49 zenon_H95 zenon_H9e zenon_Ha2 zenon_Hb0 zenon_Hcf zenon_H33a zenon_H7c zenon_H2c6 zenon_Hf6 zenon_H125 zenon_H314 zenon_H30d zenon_H311 zenon_H123 zenon_H10e zenon_H7d zenon_H113 zenon_H31b zenon_H3dc zenon_H12c zenon_H305 zenon_H46 zenon_H2c9 zenon_Hf3 zenon_Hec zenon_Hf0 zenon_H327 zenon_H10b zenon_H33e zenon_Hfb zenon_H23 zenon_Hff zenon_H2e0 zenon_H2b zenon_Hfe zenon_H318 zenon_Hf8 zenon_Hea zenon_H3d9 zenon_H45 zenon_H2ba zenon_H3b zenon_H105 zenon_H1b zenon_H2d4 zenon_Hb8 zenon_Hc8 zenon_H2d1 zenon_H15e zenon_H349 zenon_H3cb zenon_H2ea zenon_H3d2 zenon_H90 zenon_H35 zenon_H42 zenon_Hda zenon_H1c zenon_H2c zenon_Hd3 zenon_Hab zenon_He1 zenon_H54 zenon_H51 zenon_H66 zenon_H65 zenon_Hde zenon_H19 zenon_H8c.
% 51.40/51.60 apply (zenon_or_s _ _ zenon_H3d9); [ zenon_intro zenon_He6 | zenon_intro zenon_H3da ].
% 51.40/51.60 apply (zenon_L321_); trivial.
% 51.40/51.60 apply (zenon_or_s _ _ zenon_H3da); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H3db ].
% 51.40/51.60 apply (zenon_L690_); trivial.
% 51.40/51.60 apply (zenon_or_s _ _ zenon_H3db); [ zenon_intro zenon_H3d3 | zenon_intro zenon_Hcc ].
% 51.40/51.60 apply (zenon_L626_); trivial.
% 51.40/51.60 apply (zenon_L364_); trivial.
% 51.40/51.60 (* end of lemma zenon_L691_ *)
% 51.40/51.60 assert (zenon_L692_ : (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e13) (e10)) = (e13)) -> ((op1 (e12) (e13)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e12)) = (e13)) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((e11) = (e13))) -> ((e11) = (op1 (e13) (e13))) -> False).
% 51.40/51.60 do 0 intro. intros zenon_Hb5 zenon_H4b zenon_Hd3 zenon_H66 zenon_H62 zenon_H65 zenon_Hde zenon_Haf zenon_H2c zenon_H1c zenon_Hab zenon_H54 zenon_He1 zenon_H41 zenon_Hea zenon_H9e zenon_Hcc zenon_H49 zenon_Hda zenon_Hb0 zenon_H3d zenon_H19.
% 51.40/51.60 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H4a | zenon_intro zenon_Hb6 ].
% 51.40/51.60 apply (zenon_L15_); trivial.
% 51.40/51.60 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H51 | zenon_intro zenon_Hb7 ].
% 51.40/51.60 apply (zenon_L363_); trivial.
% 51.40/51.60 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb3 ].
% 51.40/51.60 apply (zenon_L355_); trivial.
% 51.40/51.60 apply (zenon_L37_); trivial.
% 51.40/51.60 (* end of lemma zenon_L692_ *)
% 51.40/51.60 assert (zenon_L693_ : (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e12))) -> (~((e10) = (e13))) -> (~((e11) = (e13))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> ((op1 (e13) (e12)) = (e13)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e13) (e10)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> False).
% 51.40/51.60 do 0 intro. intros zenon_H90 zenon_H35 zenon_H42 zenon_H3d zenon_Hb0 zenon_Hda zenon_H49 zenon_Hcc zenon_H9e zenon_Hea zenon_H41 zenon_He1 zenon_H54 zenon_Hab zenon_H1c zenon_H2c zenon_Haf zenon_Hde zenon_H65 zenon_H66 zenon_Hd3 zenon_H4b zenon_Hb5 zenon_H19 zenon_H8c.
% 51.40/51.60 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H4e | zenon_intro zenon_H91 ].
% 51.40/51.60 apply (zenon_L47_); trivial.
% 51.40/51.60 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H50 | zenon_intro zenon_H92 ].
% 51.40/51.60 apply (zenon_L93_); trivial.
% 51.40/51.60 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H62 | zenon_intro zenon_H8b ].
% 51.40/51.60 apply (zenon_L692_); trivial.
% 51.40/51.60 apply (zenon_L24_); trivial.
% 51.40/51.60 (* end of lemma zenon_L693_ *)
% 51.40/51.60 assert (zenon_L694_ : ((op1 (e11) (e12)) = (e10)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e10)) = (e12)) -> ((op1 (e11) (e11)) = (e12)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e11) = (e12))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> ((op1 (e10) (e10)) = (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 (e10) (e10)) = (op1 (e10) (e13)))) -> (((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 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((op1 (e10) (e10)) = (e11)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((op2 (e22) (e22)) = (e23)) -> ((h4 (e13)) = (e23)) -> (~((h4 (op1 (e12) (e12))) = (op2 (h4 (e12)) (h4 (e12))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e12))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> False).
% 51.40/51.60 do 0 intro. intros zenon_H126 zenon_Hc2 zenon_H31e zenon_H2db zenon_H2ff zenon_H3d zenon_Hcb zenon_Hb5 zenon_H4b zenon_H72 zenon_H2ce zenon_Haf zenon_H49 zenon_H95 zenon_H9e zenon_Ha2 zenon_Hb0 zenon_Hcf zenon_H33a zenon_H7c zenon_H2c6 zenon_Hf6 zenon_H125 zenon_H314 zenon_H30d zenon_H311 zenon_H123 zenon_H10e zenon_H7d zenon_H113 zenon_H31b zenon_H3dc zenon_H12c zenon_H305 zenon_H46 zenon_H2c9 zenon_Hf3 zenon_Hec zenon_Hf0 zenon_H327 zenon_H10b zenon_H33e zenon_Hfb zenon_H23 zenon_Hff zenon_H2e0 zenon_H2b zenon_Hfe zenon_H318 zenon_Hf8 zenon_Hea zenon_H3d9 zenon_H45 zenon_H2ba zenon_H3b zenon_H105 zenon_H1b zenon_H2d4 zenon_Hb8 zenon_Hc8 zenon_H2d1 zenon_H15e zenon_H349 zenon_H3cb zenon_H2ea zenon_H3d2 zenon_H90 zenon_H35 zenon_H42 zenon_Hda zenon_H1c zenon_H2c zenon_Hd3 zenon_Hab zenon_He1 zenon_H54 zenon_H66 zenon_H65 zenon_Hde zenon_H19 zenon_H8c.
% 51.40/51.60 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H41 | zenon_intro zenon_Hf9 ].
% 51.40/51.60 apply (zenon_or_s _ _ zenon_H3d9); [ zenon_intro zenon_He6 | zenon_intro zenon_H3da ].
% 51.40/51.60 apply (zenon_L324_); trivial.
% 51.40/51.60 apply (zenon_or_s _ _ zenon_H3da); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H3db ].
% 51.40/51.60 apply (zenon_L690_); trivial.
% 51.40/51.60 apply (zenon_or_s _ _ zenon_H3db); [ zenon_intro zenon_H3d3 | zenon_intro zenon_Hcc ].
% 51.40/51.60 apply (zenon_L626_); trivial.
% 51.40/51.60 apply (zenon_L693_); trivial.
% 51.40/51.60 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H47 | zenon_intro zenon_Hfa ].
% 51.40/51.60 apply (zenon_L13_); trivial.
% 51.40/51.60 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H51 ].
% 51.40/51.60 apply (zenon_L690_); trivial.
% 51.40/51.60 apply (zenon_L691_); trivial.
% 51.40/51.60 (* end of lemma zenon_L694_ *)
% 51.40/51.60 assert (zenon_L695_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e12) (e11)) = (e12)) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e12) (e13)) = (e10)) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e13))) -> ((op1 (e13) (e11)) = (e10)) -> ((op1 (e11) (e12)) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e13))) -> ((e11) = (op1 (e13) (e13))) -> False).
% 51.40/51.60 do 0 intro. intros zenon_Hcf zenon_Hb0 zenon_Ha2 zenon_H9e zenon_H65 zenon_H95 zenon_H49 zenon_H54 zenon_Hab zenon_H1c zenon_H2c zenon_Haf zenon_H2c8 zenon_H11a zenon_H2c9 zenon_H62 zenon_H72 zenon_H4b zenon_Hb5 zenon_H42 zenon_Hbe zenon_Ha3 zenon_Hcb zenon_H3d zenon_H19.
% 51.40/51.60 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H66 | zenon_intro zenon_Hd0 ].
% 51.40/51.60 apply (zenon_L290_); trivial.
% 51.40/51.60 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hd1 ].
% 51.40/51.60 apply (zenon_L40_); trivial.
% 51.40/51.60 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hb3 ].
% 51.40/51.60 apply (zenon_L43_); trivial.
% 51.40/51.60 apply (zenon_L37_); trivial.
% 51.40/51.60 (* end of lemma zenon_L695_ *)
% 51.40/51.60 assert (zenon_L696_ : (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((e11) = (op1 (e13) (e13))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e12)) = (e13)) -> ((op1 (e13) (e11)) = (e10)) -> (~((e10) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> ((op1 (e12) (e13)) = (e10)) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e10) (e12)) = (e11)) -> ((op1 (e12) (e11)) = (e12)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> False).
% 51.40/51.60 do 0 intro. intros zenon_Hde zenon_H19 zenon_H3d zenon_Hcb zenon_Ha3 zenon_Hbe zenon_H42 zenon_Hb5 zenon_H4b zenon_H72 zenon_H62 zenon_H2c9 zenon_H11a zenon_H2c8 zenon_Haf zenon_H54 zenon_H95 zenon_H65 zenon_H9e zenon_Ha2 zenon_Hb0 zenon_Hcf zenon_Hab zenon_Hd3 zenon_H2c zenon_H1c zenon_Hda.
% 51.40/51.60 apply (zenon_or_s _ _ zenon_Hde); [ zenon_intro zenon_H49 | zenon_intro zenon_Hdf ].
% 51.40/51.60 apply (zenon_L695_); trivial.
% 51.40/51.60 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_Haa | zenon_intro zenon_He0 ].
% 51.40/51.60 apply (zenon_L34_); trivial.
% 51.40/51.60 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hd2 | zenon_intro zenon_Hd9 ].
% 51.40/51.60 apply (zenon_L45_); trivial.
% 51.40/51.60 apply (zenon_L46_); trivial.
% 51.40/51.60 (* end of lemma zenon_L696_ *)
% 51.40/51.60 assert (zenon_L697_ : (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e12))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e12) (e11)) = (e12)) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e13))) -> ((op1 (e13) (e11)) = (e10)) -> ((op1 (e11) (e12)) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e13))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> False).
% 51.40/51.60 do 0 intro. intros zenon_H90 zenon_H35 zenon_Hc2 zenon_Hb8 zenon_Hc8 zenon_Hda zenon_H1c zenon_H2c zenon_Hd3 zenon_Hab zenon_Hcf zenon_Hb0 zenon_Ha2 zenon_H9e zenon_H65 zenon_H95 zenon_H54 zenon_Haf zenon_H2c8 zenon_H11a zenon_H2c9 zenon_H72 zenon_H4b zenon_Hb5 zenon_H42 zenon_Hbe zenon_Ha3 zenon_Hcb zenon_H3d zenon_Hde zenon_H19 zenon_H8c.
% 51.40/51.60 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H4e | zenon_intro zenon_H91 ].
% 51.40/51.60 apply (zenon_L47_); trivial.
% 51.40/51.60 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H50 | zenon_intro zenon_H92 ].
% 51.40/51.60 apply (zenon_L288_); trivial.
% 51.40/51.60 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H62 | zenon_intro zenon_H8b ].
% 51.40/51.60 apply (zenon_L696_); trivial.
% 51.40/51.60 apply (zenon_L24_); trivial.
% 51.40/51.60 (* end of lemma zenon_L697_ *)
% 51.40/51.60 assert (zenon_L698_ : (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e11)) = (e10)) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e10) (e12)) = (e11)) -> ((op1 (e12) (e11)) = (e12)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((op2 (e22) (e22)) = (e23)) -> ((h4 (e13)) = (e23)) -> (~((h4 (op1 (e12) (e12))) = (op2 (h4 (e12)) (h4 (e12))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e11))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e13)) -> ((op1 (e12) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e10) = (e13))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> False).
% 51.40/51.60 do 0 intro. intros zenon_H3d9 zenon_H3d zenon_Hcb zenon_Hbe zenon_Hb5 zenon_H4b zenon_H72 zenon_H2c9 zenon_H11a zenon_H2c8 zenon_Haf zenon_H95 zenon_H65 zenon_H9e zenon_Ha2 zenon_Hb0 zenon_Hcf zenon_Hc8 zenon_Hb8 zenon_Hc2 zenon_H15e zenon_H349 zenon_H3cb zenon_H2ea zenon_H3d2 zenon_Hde zenon_H8c zenon_H19 zenon_He1 zenon_H54 zenon_H51 zenon_He2 zenon_H7d zenon_H42 zenon_H35 zenon_H90 zenon_Hab zenon_Hd3 zenon_H2c zenon_H1c zenon_Hda.
% 51.40/51.60 apply (zenon_or_s _ _ zenon_H3d9); [ zenon_intro zenon_He6 | zenon_intro zenon_H3da ].
% 51.40/51.60 apply (zenon_L427_); trivial.
% 51.40/51.60 apply (zenon_or_s _ _ zenon_H3da); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H3db ].
% 51.40/51.60 apply (zenon_L697_); trivial.
% 51.40/51.60 apply (zenon_or_s _ _ zenon_H3db); [ zenon_intro zenon_H3d3 | zenon_intro zenon_Hcc ].
% 51.40/51.60 apply (zenon_L626_); trivial.
% 51.40/51.60 apply (zenon_L372_); trivial.
% 51.40/51.60 (* end of lemma zenon_L698_ *)
% 51.40/51.60 assert (zenon_L699_ : (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e12) (e10)) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((h4 (op1 (e12) (e12))) = (op2 (h4 (e12)) (h4 (e12))))) -> ((h4 (e13)) = (e23)) -> ((op2 (e22) (e22)) = (e23)) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e13))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((op1 (e10) (e11)) = (e13)) -> ((op1 (e11) (e10)) = (e12)) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((op1 (e13) (e11)) = (e10)) -> (~((e10) = (e12))) -> False).
% 51.40/51.60 do 0 intro. intros zenon_H2e1 zenon_H2ba zenon_H2c5 zenon_Hda zenon_H1c zenon_H2c zenon_Hd3 zenon_Hab zenon_H90 zenon_H42 zenon_H7d zenon_He2 zenon_H54 zenon_He1 zenon_H19 zenon_H8c zenon_Hde zenon_H3d2 zenon_H2ea zenon_H3cb zenon_H349 zenon_H15e zenon_Hc2 zenon_Hb8 zenon_Hc8 zenon_Hcf zenon_Hb0 zenon_Ha2 zenon_H9e zenon_H65 zenon_H95 zenon_Haf zenon_H11a zenon_H2c9 zenon_H72 zenon_H4b zenon_Hb5 zenon_Hcb zenon_H3d zenon_H3d9 zenon_H45 zenon_H46 zenon_H34 zenon_Hf8 zenon_Hbe zenon_H35.
% 51.40/51.60 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H2bb | zenon_intro zenon_H2e4 ].
% 51.40/51.60 apply (zenon_L281_); trivial.
% 51.40/51.60 apply (zenon_or_s _ _ zenon_H2e4); [ zenon_intro zenon_H2c6 | zenon_intro zenon_H2e5 ].
% 51.40/51.60 apply (zenon_L284_); trivial.
% 51.40/51.60 apply (zenon_or_s _ _ zenon_H2e5); [ zenon_intro zenon_H2c8 | zenon_intro zenon_H2de ].
% 51.40/51.60 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H41 | zenon_intro zenon_Hf9 ].
% 51.40/51.60 apply (zenon_L86_); trivial.
% 51.40/51.60 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H47 | zenon_intro zenon_Hfa ].
% 51.40/51.60 apply (zenon_L13_); trivial.
% 51.40/51.60 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H51 ].
% 51.40/51.60 apply (zenon_L697_); trivial.
% 51.40/51.60 apply (zenon_L698_); trivial.
% 51.40/51.60 apply (zenon_L308_); trivial.
% 51.40/51.60 (* end of lemma zenon_L699_ *)
% 51.40/51.60 assert (zenon_L700_ : (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e11)) = (e10)) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e11) (e11)) = (e11)) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (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 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e10) (e11)) = (e13)) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> ((op1 (e11) (e10)) = (e10)) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((op2 (e22) (e22)) = (e23)) -> ((h4 (e13)) = (e23)) -> (~((h4 (op1 (e12) (e12))) = (op2 (h4 (e12)) (h4 (e12))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e11))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e13)) -> ((op1 (e12) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e10) = (e13))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> False).
% 51.40/51.60 do 0 intro. intros zenon_H3d zenon_Hcb zenon_Hbe zenon_H33e zenon_Hcf zenon_H10e zenon_H10b zenon_H2b zenon_Hfe zenon_H2c9 zenon_H30b zenon_Hc8 zenon_Hb8 zenon_Hc2 zenon_Hf3 zenon_Hec zenon_Hf0 zenon_H327 zenon_Hb0 zenon_Ha2 zenon_H65 zenon_H95 zenon_Haf zenon_H3d9 zenon_H2ce zenon_H46 zenon_H11a zenon_Hf6 zenon_H33 zenon_H4b zenon_Hb5 zenon_H9e zenon_H15e zenon_H349 zenon_H3cb zenon_H2ea zenon_H3d2 zenon_Hde zenon_H8c zenon_H19 zenon_He1 zenon_H54 zenon_H51 zenon_He2 zenon_H7d zenon_H42 zenon_H35 zenon_H90 zenon_Hab zenon_Hd3 zenon_H2c zenon_H1c zenon_Hda.
% 51.40/51.60 apply (zenon_or_s _ _ zenon_H3d9); [ zenon_intro zenon_He6 | zenon_intro zenon_H3da ].
% 51.40/51.60 apply (zenon_L427_); trivial.
% 51.40/51.60 apply (zenon_or_s _ _ zenon_H3da); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H3db ].
% 51.40/51.60 apply (zenon_L650_); trivial.
% 51.40/51.60 apply (zenon_or_s _ _ zenon_H3db); [ zenon_intro zenon_H3d3 | zenon_intro zenon_Hcc ].
% 51.40/51.60 apply (zenon_L626_); trivial.
% 51.40/51.60 apply (zenon_L372_); trivial.
% 51.40/51.60 (* end of lemma zenon_L700_ *)
% 51.40/51.60 assert (zenon_L701_ : (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e12))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e12) (e10)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((h4 (op1 (e12) (e12))) = (op2 (h4 (e12)) (h4 (e12))))) -> ((h4 (e13)) = (e23)) -> ((op2 (e22) (e22)) = (e23)) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> ((op1 (e11) (e10)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((op1 (e13) (e11)) = (e10)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e13))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> False).
% 51.40/51.60 do 0 intro. intros zenon_H318 zenon_Hda zenon_H1c zenon_H2c zenon_Hd3 zenon_Hab zenon_H90 zenon_H35 zenon_H42 zenon_H7d zenon_He2 zenon_He1 zenon_H8c zenon_Hde zenon_H3d2 zenon_H2ea zenon_H3cb zenon_H349 zenon_H15e zenon_H9e zenon_Hb5 zenon_H4b zenon_H33 zenon_Hf6 zenon_H46 zenon_H2ce zenon_H3d9 zenon_Haf zenon_H95 zenon_H65 zenon_Ha2 zenon_Hb0 zenon_H327 zenon_Hf0 zenon_Hec zenon_Hf3 zenon_Hc2 zenon_Hb8 zenon_Hc8 zenon_H2c9 zenon_Hfe zenon_H2b zenon_H10b zenon_H10e zenon_Hcf zenon_H33e zenon_Hbe zenon_Hcb zenon_H3d zenon_H45 zenon_Hf8 zenon_H11a zenon_H125 zenon_H54 zenon_H19.
% 51.40/51.60 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H108 | zenon_intro zenon_H319 ].
% 51.40/51.60 apply (zenon_L74_); trivial.
% 51.40/51.60 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H30b | zenon_intro zenon_H31a ].
% 51.40/51.60 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H41 | zenon_intro zenon_Hf9 ].
% 51.40/51.60 apply (zenon_L12_); trivial.
% 51.40/51.60 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H47 | zenon_intro zenon_Hfa ].
% 51.40/51.60 apply (zenon_L13_); trivial.
% 51.40/51.60 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H51 ].
% 51.40/51.60 apply (zenon_L650_); trivial.
% 51.40/51.60 apply (zenon_L700_); trivial.
% 51.40/51.60 apply (zenon_or_s _ _ zenon_H31a); [ zenon_intro zenon_H129 | zenon_intro zenon_Ha5 ].
% 51.40/51.60 apply (zenon_L482_); trivial.
% 51.40/51.60 apply (zenon_L33_); trivial.
% 51.40/51.60 (* end of lemma zenon_L701_ *)
% 51.40/51.60 assert (zenon_L702_ : (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e11) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e11))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((op1 (e10) (e10)) = (e11)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e10)) = (e12)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> ((op1 (e11) (e13)) = (e10)) -> (~((e10) = (e13))) -> False).
% 51.40/51.60 do 0 intro. intros zenon_Hf8 zenon_Hda zenon_Hd3 zenon_Hab zenon_Hc8 zenon_Hb8 zenon_H3d zenon_Hb5 zenon_H4b zenon_H9e zenon_Hea zenon_He1 zenon_Hcf zenon_H8c zenon_Hde zenon_H45 zenon_H2ba zenon_H2c zenon_H3b zenon_H105 zenon_H1b zenon_H2d4 zenon_Hcb zenon_Hf0 zenon_He8 zenon_Hec zenon_H19 zenon_H1c zenon_Hc2 zenon_Hf3 zenon_H50 zenon_H42.
% 51.40/51.60 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H41 | zenon_intro zenon_Hf9 ].
% 51.40/51.60 apply (zenon_L408_); trivial.
% 51.40/51.60 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H47 | zenon_intro zenon_Hfa ].
% 51.40/51.60 apply (zenon_L299_); trivial.
% 51.40/51.60 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H51 ].
% 51.40/51.60 apply (zenon_L65_); trivial.
% 51.40/51.60 apply (zenon_L17_); trivial.
% 51.40/51.60 (* end of lemma zenon_L702_ *)
% 51.40/51.60 assert (zenon_L703_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((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))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((h4 (op1 (e12) (e12))) = (op2 (h4 (e12)) (h4 (e12))))) -> ((h4 (e13)) = (e23)) -> ((op2 (e22) (e22)) = (e23)) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (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)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e13))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> False).
% 51.40/51.60 do 0 intro. intros zenon_H13b zenon_H2d4 zenon_H314 zenon_H31b zenon_H30d zenon_H311 zenon_H318 zenon_H33e zenon_H327 zenon_H2e0 zenon_H3d2 zenon_H2ea zenon_H3cb zenon_H349 zenon_H15e zenon_H3dc zenon_H2ce zenon_H305 zenon_H3d9 zenon_H2c9 zenon_H2c5 zenon_H2ba zenon_H2e1 zenon_H2db zenon_H324 zenon_H2ff zenon_H32a zenon_H2be zenon_H341 zenon_H31e zenon_H33a zenon_H2d1 zenon_H1b zenon_H19 zenon_Hb8 zenon_H136 zenon_Hc8 zenon_Hea zenon_Hcf zenon_Hfb zenon_Ha2 zenon_H65 zenon_H95 zenon_H45 zenon_Hf8 zenon_Hff zenon_H113 zenon_H123 zenon_H131 zenon_H125 zenon_H128 zenon_H3d zenon_He1 zenon_H12c zenon_H9e zenon_H42 zenon_H4b zenon_Hb5 zenon_Hf3 zenon_Hc2 zenon_Hec zenon_Hf0 zenon_Hcb zenon_H90 zenon_H10b zenon_H2b zenon_Hfe zenon_H105 zenon_H117 zenon_H8c zenon_Haf zenon_H72 zenon_H7d zenon_H10e zenon_H54 zenon_Hf6 zenon_Hb0 zenon_H24 zenon_H135 zenon_Hde zenon_H35 zenon_Hab zenon_Hd3 zenon_H2c zenon_H1c zenon_Hda.
% 51.40/51.60 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H23 | zenon_intro zenon_H13e ].
% 51.40/51.60 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H3b | zenon_intro zenon_H139 ].
% 51.40/51.60 apply (zenon_or_s _ _ zenon_H32a); [ zenon_intro zenon_H2d | zenon_intro zenon_H32b ].
% 51.40/51.60 apply (zenon_L7_); trivial.
% 51.40/51.60 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H2bb | zenon_intro zenon_H32c ].
% 51.40/51.60 apply (zenon_L281_); trivial.
% 51.40/51.60 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H2bf | zenon_intro zenon_H49 ].
% 51.40/51.60 apply (zenon_L282_); trivial.
% 51.40/51.60 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ].
% 51.40/51.60 apply (zenon_L7_); trivial.
% 51.40/51.60 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_H34 | zenon_intro zenon_H101 ].
% 51.40/51.60 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H3c | zenon_intro zenon_H102 ].
% 51.40/51.60 apply (zenon_L317_); trivial.
% 51.40/51.60 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_H46 | zenon_intro zenon_H103 ].
% 51.40/51.60 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hfc ].
% 51.40/51.60 apply (zenon_L317_); trivial.
% 51.40/51.60 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H41 | zenon_intro zenon_Hfd ].
% 51.40/51.60 apply (zenon_L86_); trivial.
% 51.40/51.60 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_He2 | zenon_intro zenon_H66 ].
% 51.40/51.60 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H33 | zenon_intro zenon_H2e2 ].
% 51.40/51.60 apply (zenon_L9_); trivial.
% 51.40/51.60 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2e3 ].
% 51.40/51.60 apply (zenon_L283_); trivial.
% 51.40/51.60 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H126 | zenon_intro zenon_H50 ].
% 51.40/51.60 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H2bb | zenon_intro zenon_H2e4 ].
% 51.40/51.60 apply (zenon_L281_); trivial.
% 51.40/51.60 apply (zenon_or_s _ _ zenon_H2e4); [ zenon_intro zenon_H2c6 | zenon_intro zenon_H2e5 ].
% 51.40/51.60 apply (zenon_L284_); trivial.
% 51.40/51.60 apply (zenon_or_s _ _ zenon_H2e5); [ zenon_intro zenon_H2c8 | zenon_intro zenon_H2de ].
% 51.40/51.60 apply (zenon_L640_); trivial.
% 51.40/51.60 apply (zenon_L309_); trivial.
% 51.40/51.60 apply (zenon_L641_); trivial.
% 51.40/51.60 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H33 | zenon_intro zenon_H2e2 ].
% 51.40/51.60 apply (zenon_L9_); trivial.
% 51.40/51.60 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2e3 ].
% 51.40/51.60 apply (zenon_L283_); trivial.
% 51.40/51.60 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H126 | zenon_intro zenon_H50 ].
% 51.40/51.60 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H2bb | zenon_intro zenon_H2e4 ].
% 51.40/51.60 apply (zenon_L281_); trivial.
% 51.40/51.60 apply (zenon_or_s _ _ zenon_H2e4); [ zenon_intro zenon_H2c6 | zenon_intro zenon_H2e5 ].
% 51.40/51.60 apply (zenon_L284_); trivial.
% 51.40/51.60 apply (zenon_or_s _ _ zenon_H2e5); [ zenon_intro zenon_H2c8 | zenon_intro zenon_H2de ].
% 51.40/51.60 apply (zenon_L642_); trivial.
% 51.40/51.60 apply (zenon_L309_); trivial.
% 51.40/51.60 apply (zenon_L314_); trivial.
% 51.40/51.60 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_He6 | zenon_intro zenon_H4a ].
% 51.40/51.60 apply (zenon_L639_); trivial.
% 51.40/51.60 apply (zenon_L335_); trivial.
% 51.40/51.60 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_H7c | zenon_intro zenon_He8 ].
% 51.40/51.60 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H3c | zenon_intro zenon_H102 ].
% 51.40/51.60 apply (zenon_L11_); trivial.
% 51.40/51.60 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_H46 | zenon_intro zenon_H103 ].
% 51.40/51.60 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hfc ].
% 51.40/51.60 apply (zenon_L11_); trivial.
% 51.40/51.60 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H41 | zenon_intro zenon_Hfd ].
% 51.40/51.60 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H33 | zenon_intro zenon_H2e2 ].
% 51.40/51.60 apply (zenon_L12_); trivial.
% 51.40/51.60 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2e3 ].
% 51.40/51.60 apply (zenon_L283_); trivial.
% 51.40/51.60 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H126 | zenon_intro zenon_H50 ].
% 51.40/51.60 apply (zenon_or_s _ _ zenon_H341); [ zenon_intro zenon_H34 | zenon_intro zenon_H342 ].
% 51.40/51.60 apply (zenon_L86_); trivial.
% 51.40/51.60 apply (zenon_or_s _ _ zenon_H342); [ zenon_intro zenon_H2c6 | zenon_intro zenon_H343 ].
% 51.40/51.60 apply (zenon_or_s _ _ zenon_H3d9); [ zenon_intro zenon_He6 | zenon_intro zenon_H3da ].
% 51.40/51.60 apply (zenon_L639_); trivial.
% 51.40/51.60 apply (zenon_or_s _ _ zenon_H3da); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H3db ].
% 51.40/51.60 apply (zenon_L686_); trivial.
% 51.40/51.60 apply (zenon_or_s _ _ zenon_H3db); [ zenon_intro zenon_H3d3 | zenon_intro zenon_Hcc ].
% 51.40/51.60 apply (zenon_L626_); trivial.
% 51.40/51.60 apply (zenon_L687_); trivial.
% 51.40/51.60 apply (zenon_or_s _ _ zenon_H343); [ zenon_intro zenon_H12b | zenon_intro zenon_Haa ].
% 51.40/51.60 apply (zenon_L454_); trivial.
% 51.40/51.60 apply (zenon_L34_); trivial.
% 51.40/51.60 apply (zenon_L630_); trivial.
% 51.40/51.60 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_He2 | zenon_intro zenon_H66 ].
% 51.40/51.60 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H2bb | zenon_intro zenon_H2e4 ].
% 51.40/51.60 apply (zenon_L281_); trivial.
% 51.40/51.60 apply (zenon_or_s _ _ zenon_H2e4); [ zenon_intro zenon_H2c6 | zenon_intro zenon_H2e5 ].
% 51.40/51.60 apply (zenon_L688_); trivial.
% 51.40/51.60 apply (zenon_or_s _ _ zenon_H2e5); [ zenon_intro zenon_H2c8 | zenon_intro zenon_H2de ].
% 51.40/51.60 apply (zenon_L332_); trivial.
% 51.40/51.60 apply (zenon_L309_); trivial.
% 51.40/51.60 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H33 | zenon_intro zenon_H2e2 ].
% 51.40/51.60 apply (zenon_or_s _ _ zenon_H341); [ zenon_intro zenon_H34 | zenon_intro zenon_H342 ].
% 51.40/51.60 apply (zenon_L9_); trivial.
% 51.40/51.60 apply (zenon_or_s _ _ zenon_H342); [ zenon_intro zenon_H2c6 | zenon_intro zenon_H343 ].
% 51.40/51.60 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H41 | zenon_intro zenon_Hf9 ].
% 51.40/51.60 apply (zenon_L12_); trivial.
% 51.40/51.60 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H47 | zenon_intro zenon_Hfa ].
% 51.40/51.60 apply (zenon_L299_); trivial.
% 51.40/51.60 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H51 ].
% 51.40/51.60 apply (zenon_L690_); trivial.
% 51.40/51.60 apply (zenon_L691_); trivial.
% 51.40/51.60 apply (zenon_or_s _ _ zenon_H343); [ zenon_intro zenon_H12b | zenon_intro zenon_Haa ].
% 51.40/51.60 apply (zenon_L333_); trivial.
% 51.40/51.60 apply (zenon_L34_); trivial.
% 51.40/51.60 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2e3 ].
% 51.40/51.60 apply (zenon_L283_); trivial.
% 51.40/51.60 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H126 | zenon_intro zenon_H50 ].
% 51.40/51.60 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H2bb | zenon_intro zenon_H2e4 ].
% 51.40/51.60 apply (zenon_L281_); trivial.
% 51.40/51.60 apply (zenon_or_s _ _ zenon_H2e4); [ zenon_intro zenon_H2c6 | zenon_intro zenon_H2e5 ].
% 51.40/51.60 apply (zenon_L694_); trivial.
% 51.40/51.60 apply (zenon_or_s _ _ zenon_H2e5); [ zenon_intro zenon_H2c8 | zenon_intro zenon_H2de ].
% 51.40/51.60 apply (zenon_L332_); trivial.
% 51.40/51.60 apply (zenon_L309_); trivial.
% 51.40/51.60 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H41 | zenon_intro zenon_Hf9 ].
% 51.40/51.60 apply (zenon_L630_); trivial.
% 51.40/51.60 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H47 | zenon_intro zenon_Hfa ].
% 51.40/51.60 apply (zenon_L13_); trivial.
% 51.40/51.60 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H51 ].
% 51.40/51.60 apply (zenon_L285_); trivial.
% 51.40/51.60 apply (zenon_L17_); trivial.
% 51.40/51.60 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_He6 | zenon_intro zenon_H4a ].
% 51.40/51.60 apply (zenon_L639_); trivial.
% 51.40/51.60 apply (zenon_L335_); trivial.
% 51.40/51.60 apply (zenon_L629_); trivial.
% 51.40/51.60 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H104 | zenon_intro zenon_H13a ].
% 51.40/51.60 apply (zenon_L426_); trivial.
% 51.40/51.60 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H11a | zenon_intro zenon_H11c ].
% 51.40/51.60 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H3b | zenon_intro zenon_H118 ].
% 51.40/51.60 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ].
% 51.40/51.60 apply (zenon_L7_); trivial.
% 51.40/51.60 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_H34 | zenon_intro zenon_H101 ].
% 51.40/51.60 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H3c | zenon_intro zenon_H102 ].
% 51.40/51.60 apply (zenon_L317_); trivial.
% 51.40/51.60 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_H46 | zenon_intro zenon_H103 ].
% 51.40/51.60 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hfc ].
% 51.40/51.60 apply (zenon_L317_); trivial.
% 51.40/51.60 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H41 | zenon_intro zenon_Hfd ].
% 51.40/51.60 apply (zenon_L86_); trivial.
% 51.40/51.60 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_He2 | zenon_intro zenon_H66 ].
% 51.40/51.60 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hc9 ].
% 51.40/51.60 apply (zenon_L39_); trivial.
% 51.40/51.60 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hca ].
% 51.40/51.60 apply (zenon_L699_); trivial.
% 51.40/51.60 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H8b ].
% 51.40/51.60 apply (zenon_L41_); trivial.
% 51.40/51.60 apply (zenon_L24_); trivial.
% 51.40/51.60 apply (zenon_L594_); trivial.
% 51.40/51.60 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_He6 | zenon_intro zenon_H4a ].
% 51.40/51.60 apply (zenon_L427_); trivial.
% 51.40/51.60 apply (zenon_L335_); trivial.
% 51.40/51.60 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_H7c | zenon_intro zenon_He8 ].
% 51.40/51.60 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H3c | zenon_intro zenon_H102 ].
% 51.40/51.60 apply (zenon_L11_); trivial.
% 51.40/51.60 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_H46 | zenon_intro zenon_H103 ].
% 51.40/51.60 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hfc ].
% 51.40/51.60 apply (zenon_L11_); trivial.
% 51.40/51.60 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H41 | zenon_intro zenon_Hfd ].
% 51.40/51.60 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H33 | zenon_intro zenon_H2e2 ].
% 51.40/51.60 apply (zenon_L12_); trivial.
% 51.40/51.60 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2e3 ].
% 51.40/51.60 apply (zenon_L283_); trivial.
% 51.40/51.60 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H126 | zenon_intro zenon_H50 ].
% 51.40/51.60 apply (zenon_L680_); trivial.
% 51.40/51.60 apply (zenon_L651_); trivial.
% 51.40/51.60 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_He2 | zenon_intro zenon_H66 ].
% 51.40/51.60 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H33 | zenon_intro zenon_H2e2 ].
% 51.40/51.60 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hc9 ].
% 51.40/51.60 apply (zenon_L39_); trivial.
% 51.40/51.60 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hca ].
% 51.40/51.60 apply (zenon_L701_); trivial.
% 51.40/51.60 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H8b ].
% 51.40/51.60 apply (zenon_L41_); trivial.
% 51.40/51.60 apply (zenon_L24_); trivial.
% 51.40/51.60 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2e3 ].
% 51.40/51.60 apply (zenon_L283_); trivial.
% 51.40/51.60 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H126 | zenon_intro zenon_H50 ].
% 51.40/51.60 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H41 | zenon_intro zenon_Hf9 ].
% 51.40/51.60 apply (zenon_L680_); trivial.
% 51.40/51.60 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H47 | zenon_intro zenon_Hfa ].
% 51.40/51.60 apply (zenon_L299_); trivial.
% 51.40/51.60 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H51 ].
% 51.40/51.60 apply (zenon_L671_); trivial.
% 51.40/51.60 apply (zenon_or_s _ _ zenon_H3d9); [ zenon_intro zenon_He6 | zenon_intro zenon_H3da ].
% 51.40/51.60 apply (zenon_L427_); trivial.
% 51.40/51.60 apply (zenon_or_s _ _ zenon_H3da); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H3db ].
% 51.40/51.60 apply (zenon_L671_); trivial.
% 51.40/51.60 apply (zenon_or_s _ _ zenon_H3db); [ zenon_intro zenon_H3d3 | zenon_intro zenon_Hcc ].
% 51.40/51.60 apply (zenon_L626_); trivial.
% 51.40/51.60 apply (zenon_L372_); trivial.
% 51.40/51.60 apply (zenon_L652_); trivial.
% 51.40/51.60 apply (zenon_L681_); trivial.
% 51.40/51.60 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_He6 | zenon_intro zenon_H4a ].
% 51.40/51.60 apply (zenon_L427_); trivial.
% 51.40/51.60 apply (zenon_L335_); trivial.
% 51.40/51.60 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H3c | zenon_intro zenon_H102 ].
% 51.40/51.60 apply (zenon_L317_); trivial.
% 51.40/51.60 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_H46 | zenon_intro zenon_H103 ].
% 51.40/51.60 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hfc ].
% 51.40/51.60 apply (zenon_L317_); trivial.
% 51.40/51.60 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H41 | zenon_intro zenon_Hfd ].
% 51.40/51.60 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H33 | zenon_intro zenon_H2e2 ].
% 51.40/51.60 apply (zenon_L12_); trivial.
% 51.40/51.60 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2e3 ].
% 51.40/51.60 apply (zenon_L283_); trivial.
% 51.40/51.60 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H126 | zenon_intro zenon_H50 ].
% 51.40/51.60 apply (zenon_or_s _ _ zenon_H314); [ zenon_intro zenon_H7c | zenon_intro zenon_H315 ].
% 51.40/51.60 apply (zenon_or_s _ _ zenon_H3d9); [ zenon_intro zenon_He6 | zenon_intro zenon_H3da ].
% 51.40/51.60 apply (zenon_L427_); trivial.
% 51.40/51.60 apply (zenon_or_s _ _ zenon_H3da); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H3db ].
% 51.40/51.60 apply (zenon_L65_); trivial.
% 51.40/51.60 apply (zenon_or_s _ _ zenon_H3db); [ zenon_intro zenon_H3d3 | zenon_intro zenon_Hcc ].
% 51.40/51.60 apply (zenon_L626_); trivial.
% 51.40/51.60 apply (zenon_L679_); trivial.
% 51.40/51.60 apply (zenon_or_s _ _ zenon_H315); [ zenon_intro zenon_H2c8 | zenon_intro zenon_H316 ].
% 51.40/51.60 apply (zenon_or_s _ _ zenon_H3d9); [ zenon_intro zenon_He6 | zenon_intro zenon_H3da ].
% 51.40/51.60 apply (zenon_L427_); trivial.
% 51.40/51.60 apply (zenon_or_s _ _ zenon_H3da); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H3db ].
% 51.40/51.60 apply (zenon_L65_); trivial.
% 51.40/51.60 apply (zenon_or_s _ _ zenon_H3db); [ zenon_intro zenon_H3d3 | zenon_intro zenon_Hcc ].
% 51.40/51.60 apply (zenon_L626_); trivial.
% 51.40/51.60 apply (zenon_or_s _ _ zenon_Hde); [ zenon_intro zenon_H49 | zenon_intro zenon_Hdf ].
% 51.40/51.60 apply (zenon_L673_); trivial.
% 51.40/51.60 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_Haa | zenon_intro zenon_He0 ].
% 51.40/51.60 apply (zenon_L34_); trivial.
% 51.40/51.60 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hd2 | zenon_intro zenon_Hd9 ].
% 51.40/51.60 apply (zenon_L45_); trivial.
% 51.40/51.60 apply (zenon_L46_); trivial.
% 51.40/51.60 apply (zenon_or_s _ _ zenon_H316); [ zenon_intro zenon_H304 | zenon_intro zenon_Hd2 ].
% 51.40/51.60 apply (zenon_or_s _ _ zenon_H3d9); [ zenon_intro zenon_He6 | zenon_intro zenon_H3da ].
% 51.40/51.60 apply (zenon_L427_); trivial.
% 51.40/51.60 apply (zenon_or_s _ _ zenon_H3da); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H3db ].
% 51.40/51.60 apply (zenon_L65_); trivial.
% 51.40/51.60 apply (zenon_or_s _ _ zenon_H3db); [ zenon_intro zenon_H3d3 | zenon_intro zenon_Hcc ].
% 51.40/51.60 apply (zenon_L626_); trivial.
% 51.40/51.60 apply (zenon_L379_); trivial.
% 51.40/51.60 apply (zenon_L45_); trivial.
% 51.40/51.60 apply (zenon_L702_); trivial.
% 51.40/51.60 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_He2 | zenon_intro zenon_H66 ].
% 51.40/51.60 apply (zenon_L352_); trivial.
% 51.40/51.60 apply (zenon_L57_); trivial.
% 51.40/51.60 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_He6 | zenon_intro zenon_H4a ].
% 51.40/51.60 apply (zenon_L427_); trivial.
% 51.40/51.60 apply (zenon_L335_); trivial.
% 51.40/51.60 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H108 | zenon_intro zenon_H119 ].
% 51.40/51.60 apply (zenon_L669_); trivial.
% 51.40/51.60 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H10a | zenon_intro zenon_H114 ].
% 51.40/51.60 apply (zenon_L512_); trivial.
% 51.40/51.60 apply (zenon_L82_); trivial.
% 51.40/51.60 apply (zenon_L85_); trivial.
% 51.40/51.60 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H1d | zenon_intro zenon_H14b ].
% 51.40/51.60 apply (zenon_L4_); trivial.
% 51.40/51.60 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H22 | zenon_intro zenon_H4e ].
% 51.40/51.60 apply (zenon_L109_); trivial.
% 51.40/51.60 apply (zenon_L47_); trivial.
% 51.40/51.60 (* end of lemma zenon_L703_ *)
% 51.40/51.60 assert (zenon_L704_ : (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((e22) = (e23))) -> ((op2 (e22) (e20)) = (e22)) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((e10) = (e11))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((e11) = (e12))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((e10) = (e13))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e13))) -> (~((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 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e13)) = (e23)) -> (~((h4 (op1 (e12) (e12))) = (op2 (h4 (e12)) (h4 (e12))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((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) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((op2 (e20) (e21)) = (e23)) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (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 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> False).
% 51.40/51.60 do 0 intro. intros zenon_H3df zenon_H1ac zenon_H176 zenon_H3c8 zenon_Hda zenon_H1c zenon_H2c zenon_Hd3 zenon_Hab zenon_H35 zenon_Hde zenon_H135 zenon_H24 zenon_Hb0 zenon_Hf6 zenon_H54 zenon_H10e zenon_H7d zenon_H72 zenon_Haf zenon_H8c zenon_H117 zenon_H105 zenon_Hfe zenon_H2b zenon_H10b zenon_H90 zenon_Hcb zenon_Hf0 zenon_Hec zenon_Hc2 zenon_Hf3 zenon_Hb5 zenon_H4b zenon_H42 zenon_H9e zenon_H12c zenon_He1 zenon_H3d zenon_H128 zenon_H125 zenon_H131 zenon_H123 zenon_H113 zenon_Hff zenon_Hf8 zenon_H45 zenon_H95 zenon_H65 zenon_Ha2 zenon_Hfb zenon_Hcf zenon_Hea zenon_Hc8 zenon_H136 zenon_Hb8 zenon_H19 zenon_H1b zenon_H2d1 zenon_H33a zenon_H31e zenon_H341 zenon_H2be zenon_H32a zenon_H2ff zenon_H324 zenon_H2db zenon_H2e1 zenon_H2ba zenon_H2c5 zenon_H2c9 zenon_H3d9 zenon_H305 zenon_H2ce zenon_H3dc zenon_H349 zenon_H2ea zenon_H3d2 zenon_H2e0 zenon_H327 zenon_H33e zenon_H318 zenon_H311 zenon_H30d zenon_H31b zenon_H314 zenon_H2d4 zenon_H13b zenon_H245 zenon_H244 zenon_H14e zenon_H1ec zenon_H1bd zenon_H1e6 zenon_H19b zenon_H1cc zenon_H1cd zenon_H1f3 zenon_H187 zenon_H18e zenon_H15e zenon_H14 zenon_H195.
% 51.40/51.60 apply (zenon_or_s _ _ zenon_H3df); [ zenon_intro zenon_H252 | zenon_intro zenon_H3e0 ].
% 51.40/51.60 apply (zenon_L536_); trivial.
% 51.40/51.60 apply (zenon_or_s _ _ zenon_H3e0); [ zenon_intro zenon_H3c9 | zenon_intro zenon_H3e1 ].
% 51.40/51.60 apply (zenon_L624_); trivial.
% 51.40/51.60 apply (zenon_or_s _ _ zenon_H3e1); [ zenon_intro zenon_H3cb | zenon_intro zenon_H1e7 ].
% 51.40/51.60 apply (zenon_L703_); trivial.
% 51.40/51.60 apply (zenon_L518_); trivial.
% 51.40/51.60 (* end of lemma zenon_L704_ *)
% 51.40/51.60 assert (zenon_L705_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e22) (e23)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e22)) = (e22)) -> ((op2 (e22) (e20)) = (e22)) -> ((op2 (e20) (e22)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((e22) = (e23))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e20) = (e21))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((e20) = (e23))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> ((op2 (e21) (e22)) = (e23)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((e21) = (e23))) -> ((e21) = (op2 (e23) (e23))) -> False).
% 51.40/51.60 do 0 intro. intros zenon_H222 zenon_H1f3 zenon_H1ec zenon_H187 zenon_H15e zenon_H175 zenon_H1e6 zenon_H1bd zenon_H1c9 zenon_H1cc zenon_H1d7 zenon_H1d8 zenon_H176 zenon_H156 zenon_H1b1 zenon_H1ac zenon_H1fa zenon_H210 zenon_H14 zenon_H209 zenon_H205 zenon_H1fd zenon_H214 zenon_H284 zenon_H283 zenon_H1f7 zenon_H14e.
% 51.40/51.60 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1cd | zenon_intro zenon_H223 ].
% 51.40/51.61 apply (zenon_L150_); trivial.
% 51.40/51.61 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H204 | zenon_intro zenon_H224 ].
% 51.40/51.61 apply (zenon_L155_); trivial.
% 51.40/51.61 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H21d | zenon_intro zenon_H1f8 ].
% 51.40/51.61 apply (zenon_L216_); trivial.
% 51.40/51.61 apply (zenon_L149_); trivial.
% 51.40/51.61 (* end of lemma zenon_L705_ *)
% 51.40/51.61 assert (zenon_L706_ : (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e20) = (e22))) -> ((op2 (e21) (e20)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((e21) = (e23))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e21) (e22)) = (e23)) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((e20) = (e23))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e22) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e20) (e22)) = (e20)) -> ((op2 (e22) (e20)) = (e22)) -> ((op2 (e23) (e22)) = (e22)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e20) (e23)) = (e22)) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((e21) = (op2 (e23) (e23))) -> (~((e20) = (e21))) -> False).
% 51.40/51.61 do 0 intro. intros zenon_H22f zenon_H16f zenon_H16d zenon_H1a7 zenon_H1f7 zenon_H283 zenon_H284 zenon_H214 zenon_H1fd zenon_H205 zenon_H209 zenon_H14 zenon_H1fa zenon_H1ac zenon_H1b1 zenon_H156 zenon_H176 zenon_H1d8 zenon_H1d7 zenon_H1cc zenon_H1bd zenon_H1e6 zenon_H175 zenon_H15e zenon_H187 zenon_H1ec zenon_H1f3 zenon_H222 zenon_H14e zenon_H210.
% 51.40/51.61 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H235 ].
% 51.40/51.61 apply (zenon_L129_); trivial.
% 51.40/51.61 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H1a8 | zenon_intro zenon_H236 ].
% 51.40/51.61 apply (zenon_L130_); trivial.
% 51.40/51.61 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1c9 | zenon_intro zenon_H20f ].
% 51.40/51.61 apply (zenon_L705_); trivial.
% 51.40/51.61 apply (zenon_L154_); trivial.
% 51.40/51.61 (* end of lemma zenon_L706_ *)
% 51.40/51.61 assert (zenon_L707_ : (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((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))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((h4 (op1 (e12) (e12))) = (op2 (h4 (e12)) (h4 (e12))))) -> ((h4 (e13)) = (e23)) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (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)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e13))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> ((op2 (e21) (e20)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((e21) = (e23))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((e20) = (e23))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e22) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e20) (e22)) = (e20)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((e20) = (e21))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((e20) = (e22))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e22) (e20)) = (e22)) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> False).
% 51.40/51.61 do 0 intro. intros zenon_H22e zenon_H21b zenon_H217 zenon_H21f zenon_H13b zenon_H2d4 zenon_H314 zenon_H31b zenon_H30d zenon_H311 zenon_H318 zenon_H33e zenon_H327 zenon_H2e0 zenon_H3d2 zenon_H2ea zenon_H349 zenon_H3dc zenon_H2ce zenon_H305 zenon_H3d9 zenon_H2c9 zenon_H2c5 zenon_H2ba zenon_H2e1 zenon_H2db zenon_H324 zenon_H2ff zenon_H32a zenon_H2be zenon_H341 zenon_H31e zenon_H33a zenon_H2d1 zenon_H1b zenon_H19 zenon_Hb8 zenon_H136 zenon_Hc8 zenon_Hea zenon_Hcf zenon_Hfb zenon_Ha2 zenon_H65 zenon_H95 zenon_H45 zenon_Hf8 zenon_Hff zenon_H113 zenon_H123 zenon_H131 zenon_H125 zenon_H128 zenon_H3d zenon_He1 zenon_H12c zenon_H9e zenon_H42 zenon_H4b zenon_Hb5 zenon_Hf3 zenon_Hc2 zenon_Hec zenon_Hf0 zenon_Hcb zenon_H90 zenon_H10b zenon_H2b zenon_Hfe zenon_H105 zenon_H117 zenon_H8c zenon_Haf zenon_H72 zenon_H7d zenon_H10e zenon_H54 zenon_Hf6 zenon_Hb0 zenon_H24 zenon_H135 zenon_Hde zenon_H35 zenon_Hab zenon_Hd3 zenon_H2c zenon_H1c zenon_Hda zenon_H22f zenon_H16d zenon_H1a7 zenon_H1f7 zenon_H283 zenon_H205 zenon_H1fa zenon_H1ac zenon_H1b1 zenon_H156 zenon_H1d7 zenon_H1cc zenon_H1bd zenon_H1e6 zenon_H175 zenon_H1ec zenon_H1f3 zenon_H222 zenon_H24e zenon_H2b7 zenon_H3e2 zenon_H19f zenon_H168 zenon_H230 zenon_H210 zenon_H14e zenon_H209 zenon_H16f zenon_H1fd zenon_H214 zenon_H225 zenon_H176 zenon_H19b zenon_H180 zenon_H18e zenon_H195 zenon_H164 zenon_H22b zenon_H15e zenon_H14 zenon_H187.
% 51.40/51.61 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H16e | zenon_intro zenon_H231 ].
% 51.40/51.61 apply (zenon_L120_); trivial.
% 51.40/51.61 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_H17c | zenon_intro zenon_H232 ].
% 51.40/51.61 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H169 | zenon_intro zenon_H233 ].
% 51.40/51.61 apply (zenon_L118_); trivial.
% 51.40/51.61 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H17f | zenon_intro zenon_H234 ].
% 51.40/51.61 apply (zenon_L127_); trivial.
% 51.40/51.61 apply (zenon_or_s _ _ zenon_H234); [ zenon_intro zenon_H19e | zenon_intro zenon_H1d8 ].
% 51.40/51.61 apply (zenon_L128_); trivial.
% 51.40/51.61 apply (zenon_or_s _ _ zenon_H3e2); [ zenon_intro zenon_H256 | zenon_intro zenon_H3e3 ].
% 51.40/51.61 apply (zenon_L277_); trivial.
% 51.40/51.61 apply (zenon_or_s _ _ zenon_H3e3); [ zenon_intro zenon_H284 | zenon_intro zenon_H3e4 ].
% 51.40/51.61 apply (zenon_L706_); trivial.
% 51.40/51.61 apply (zenon_or_s _ _ zenon_H3e4); [ zenon_intro zenon_H3cb | zenon_intro zenon_H21d ].
% 51.40/51.61 apply (zenon_L703_); trivial.
% 51.40/51.61 apply (zenon_L159_); trivial.
% 51.40/51.61 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H17f | zenon_intro zenon_H186 ].
% 51.40/51.61 apply (zenon_L164_); trivial.
% 51.40/51.61 apply (zenon_L124_); trivial.
% 51.40/51.61 (* end of lemma zenon_L707_ *)
% 51.40/51.61 assert (zenon_L708_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e22) = (e23))) -> ((op2 (e23) (e20)) = (e22)) -> (~((e20) = (e21))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((e20) = (e23))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> ((op2 (e21) (e22)) = (e23)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((e21) = (e23))) -> ((e21) = (op2 (e23) (e23))) -> False).
% 51.40/51.61 do 0 intro. intros zenon_H222 zenon_H1ac zenon_H21c zenon_H210 zenon_H14 zenon_H209 zenon_H205 zenon_H1fd zenon_H214 zenon_H284 zenon_H283 zenon_H1f7 zenon_H14e.
% 51.40/51.61 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1cd | zenon_intro zenon_H223 ].
% 51.40/51.61 apply (zenon_L192_); trivial.
% 51.40/51.61 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H204 | zenon_intro zenon_H224 ].
% 51.40/51.61 apply (zenon_L155_); trivial.
% 51.40/51.61 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H21d | zenon_intro zenon_H1f8 ].
% 51.40/51.61 apply (zenon_L216_); trivial.
% 51.40/51.61 apply (zenon_L149_); trivial.
% 51.40/51.61 (* end of lemma zenon_L708_ *)
% 51.40/51.61 assert (zenon_L709_ : (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e20) = (e22))) -> (~((e21) = (e23))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((e20) = (e23))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e22) = (e23))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e22)) -> ((op2 (e23) (e22)) = (e23)) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e22) (e20)) = (e23)) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((e21) = (op2 (e23) (e23))) -> (~((e20) = (e21))) -> False).
% 51.40/51.61 do 0 intro. intros zenon_H22f zenon_H16f zenon_H1f7 zenon_H254 zenon_H205 zenon_H19b zenon_H1ac zenon_H187 zenon_H18e zenon_H15e zenon_H14 zenon_H1fa zenon_H195 zenon_H175 zenon_H21d zenon_H1b1 zenon_H252 zenon_H17f zenon_H267 zenon_H1d7 zenon_H14e zenon_H210.
% 51.40/51.61 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H235 ].
% 51.40/51.61 apply (zenon_L129_); trivial.
% 51.40/51.61 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H1a8 | zenon_intro zenon_H236 ].
% 51.40/51.61 apply (zenon_L515_); trivial.
% 51.40/51.61 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1c9 | zenon_intro zenon_H20f ].
% 51.40/51.61 apply (zenon_L206_); trivial.
% 51.40/51.61 apply (zenon_L154_); trivial.
% 51.40/51.61 (* end of lemma zenon_L709_ *)
% 51.40/51.61 assert (zenon_L710_ : (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> ((op2 (e20) (e22)) = (e20)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e20)) = (e22)) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((e10) = (e11))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((e11) = (e12))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((e10) = (e13))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e13))) -> (~((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 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e13)) = (e23)) -> (~((h4 (op1 (e12) (e12))) = (op2 (h4 (e12)) (h4 (e12))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((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) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e20) = (e22))) -> (~((e21) = (e23))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((e20) = (e23))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e22) = (e23))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e22) (e20)) = (e23)) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((e21) = (op2 (e23) (e23))) -> (~((e20) = (e21))) -> False).
% 51.40/51.61 do 0 intro. intros zenon_H3e2 zenon_H156 zenon_H283 zenon_H214 zenon_H1fd zenon_H209 zenon_H21c zenon_H222 zenon_Hda zenon_H1c zenon_H2c zenon_Hd3 zenon_Hab zenon_H35 zenon_Hde zenon_H135 zenon_H24 zenon_Hb0 zenon_Hf6 zenon_H54 zenon_H10e zenon_H7d zenon_H72 zenon_Haf zenon_H8c zenon_H117 zenon_H105 zenon_Hfe zenon_H2b zenon_H10b zenon_H90 zenon_Hcb zenon_Hf0 zenon_Hec zenon_Hc2 zenon_Hf3 zenon_Hb5 zenon_H4b zenon_H42 zenon_H9e zenon_H12c zenon_He1 zenon_H3d zenon_H128 zenon_H125 zenon_H131 zenon_H123 zenon_H113 zenon_Hff zenon_Hf8 zenon_H45 zenon_H95 zenon_H65 zenon_Ha2 zenon_Hfb zenon_Hcf zenon_Hea zenon_Hc8 zenon_H136 zenon_Hb8 zenon_H19 zenon_H1b zenon_H2d1 zenon_H33a zenon_H31e zenon_H341 zenon_H2be zenon_H32a zenon_H2ff zenon_H324 zenon_H2db zenon_H2e1 zenon_H2ba zenon_H2c5 zenon_H2c9 zenon_H3d9 zenon_H305 zenon_H2ce zenon_H3dc zenon_H349 zenon_H2ea zenon_H3d2 zenon_H2e0 zenon_H327 zenon_H33e zenon_H318 zenon_H311 zenon_H30d zenon_H31b zenon_H314 zenon_H2d4 zenon_H13b zenon_H22f zenon_H16f zenon_H1f7 zenon_H254 zenon_H205 zenon_H19b zenon_H1ac zenon_H187 zenon_H18e zenon_H15e zenon_H14 zenon_H1fa zenon_H195 zenon_H175 zenon_H1b1 zenon_H252 zenon_H17f zenon_H267 zenon_H1d7 zenon_H14e zenon_H210.
% 51.40/51.61 apply (zenon_or_s _ _ zenon_H3e2); [ zenon_intro zenon_H256 | zenon_intro zenon_H3e3 ].
% 51.40/51.61 apply (zenon_L193_); trivial.
% 51.40/51.61 apply (zenon_or_s _ _ zenon_H3e3); [ zenon_intro zenon_H284 | zenon_intro zenon_H3e4 ].
% 51.40/51.61 apply (zenon_L708_); trivial.
% 51.40/51.61 apply (zenon_or_s _ _ zenon_H3e4); [ zenon_intro zenon_H3cb | zenon_intro zenon_H21d ].
% 51.40/51.61 apply (zenon_L703_); trivial.
% 51.40/51.61 apply (zenon_L709_); trivial.
% 51.40/51.61 (* end of lemma zenon_L710_ *)
% 51.40/51.61 assert (zenon_L711_ : ((op2 (e21) (e22)) = (e22)) -> ((op2 (e21) (e22)) = (e23)) -> (~((e22) = (e23))) -> False).
% 51.40/51.61 do 0 intro. intros zenon_H17f zenon_H284 zenon_H1ac.
% 51.40/51.61 elim (classic ((e23) = (e23))); [ zenon_intro zenon_H1ad | zenon_intro zenon_H14c ].
% 51.40/51.61 cut (((e23) = (e23)) = ((e22) = (e23))).
% 51.40/51.61 intro zenon_D_pnotp.
% 51.40/51.61 apply zenon_H1ac.
% 51.40/51.61 rewrite <- zenon_D_pnotp.
% 51.40/51.61 exact zenon_H1ad.
% 51.40/51.61 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H14c].
% 51.40/51.61 cut (((e23) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H1ae].
% 51.40/51.61 congruence.
% 51.40/51.61 cut (((op2 (e21) (e22)) = (e22)) = ((e23) = (e22))).
% 51.40/51.61 intro zenon_D_pnotp.
% 51.40/51.61 apply zenon_H1ae.
% 51.40/51.61 rewrite <- zenon_D_pnotp.
% 51.40/51.61 exact zenon_H17f.
% 51.40/51.61 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H171].
% 51.40/51.61 cut (((op2 (e21) (e22)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H3e5].
% 51.40/51.61 congruence.
% 51.40/51.61 exact (zenon_H3e5 zenon_H284).
% 51.40/51.61 apply zenon_H171. apply refl_equal.
% 51.40/51.61 apply zenon_H14c. apply refl_equal.
% 51.40/51.61 apply zenon_H14c. apply refl_equal.
% 51.40/51.61 (* end of lemma zenon_L711_ *)
% 51.40/51.61 assert (zenon_L712_ : (((op2 (op2 (e23) (e20)) (op2 (e23) (e20))) = (e20))/\(((op2 (op2 (e23) (e21)) (op2 (e23) (e21))) = (e21))/\(((op2 (op2 (e23) (e22)) (op2 (e23) (e22))) = (e22))/\((op2 (op2 (e23) (e23)) (op2 (e23) (e23))) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((e21) = (op2 (e23) (e23))) -> ((op2 (e22) (e21)) = (e23)) -> False).
% 51.40/51.61 do 0 intro. intros zenon_H1d6 zenon_H36d zenon_H14e zenon_H3c9.
% 51.40/51.61 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1da. zenon_intro zenon_H1d9.
% 51.40/51.61 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1dc. zenon_intro zenon_H1db.
% 51.40/51.61 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1de. zenon_intro zenon_H1dd.
% 51.40/51.61 cut (((op2 (op2 (e23) (e23)) (op2 (e23) (e23))) = (e23)) = ((op2 (e21) (e21)) = (op2 (e22) (e21)))).
% 51.40/51.61 intro zenon_D_pnotp.
% 51.40/51.61 apply zenon_H36d.
% 51.40/51.61 rewrite <- zenon_D_pnotp.
% 51.40/51.61 exact zenon_H1dd.
% 51.40/51.61 cut (((e23) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H3ca].
% 51.40/51.61 cut (((op2 (op2 (e23) (e23)) (op2 (e23) (e23))) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H24a].
% 51.40/51.61 congruence.
% 51.40/51.61 elim (classic ((op2 (e21) (e21)) = (op2 (e21) (e21)))); [ zenon_intro zenon_H246 | zenon_intro zenon_H247 ].
% 51.40/51.61 cut (((op2 (e21) (e21)) = (op2 (e21) (e21))) = ((op2 (op2 (e23) (e23)) (op2 (e23) (e23))) = (op2 (e21) (e21)))).
% 51.40/51.61 intro zenon_D_pnotp.
% 51.40/51.61 apply zenon_H24a.
% 51.40/51.61 rewrite <- zenon_D_pnotp.
% 51.40/51.61 exact zenon_H246.
% 51.40/51.61 cut (((op2 (e21) (e21)) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H247].
% 51.40/51.61 cut (((op2 (e21) (e21)) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H242].
% 51.40/51.61 congruence.
% 51.40/51.61 apply (zenon_L171_); trivial.
% 51.40/51.61 apply zenon_H247. apply refl_equal.
% 51.40/51.61 apply zenon_H247. apply refl_equal.
% 51.40/51.61 apply zenon_H3ca. apply sym_equal. exact zenon_H3c9.
% 51.40/51.61 (* end of lemma zenon_L712_ *)
% 51.40/51.61 assert (zenon_L713_ : ((op2 (e23) (e22)) = (e23)) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e23)) -> ((op2 (e23) (e21)) = (e20)) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((e21) = (op2 (e23) (e23))) -> ((op2 (e22) (e21)) = (e23)) -> False).
% 51.40/51.61 do 0 intro. intros zenon_H21d zenon_H175 zenon_H1d7 zenon_H1bd zenon_H1bc zenon_H203 zenon_H26e zenon_H26d zenon_H36d zenon_H14e zenon_H3c9.
% 51.40/51.61 apply (zenon_or_s _ _ ax11); [ zenon_intro zenon_H1b0 | zenon_intro zenon_H1e2 ].
% 51.40/51.61 apply (zenon_L169_); trivial.
% 51.40/51.61 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H1bb | zenon_intro zenon_H1e3 ].
% 51.40/51.61 apply (zenon_L134_); trivial.
% 51.40/51.61 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H1cb | zenon_intro zenon_H1d6 ].
% 51.40/51.61 apply (zenon_L204_); trivial.
% 51.40/51.61 apply (zenon_L712_); trivial.
% 51.40/51.61 (* end of lemma zenon_L713_ *)
% 51.40/51.61 assert (zenon_L714_ : (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e22) (e21)) = (e23)) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e22) (e20)) = (e21)) -> ((op2 (e21) (e23)) = (e23)) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e23)) = (e22)) -> ((op2 (e23) (e22)) = (e23)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (~((e20) = (e21))) -> False).
% 51.40/51.61 do 0 intro. intros zenon_H214 zenon_H1fd zenon_H3c9 zenon_H36d zenon_H26d zenon_H26e zenon_H1bc zenon_H1bd zenon_H1d7 zenon_H175 zenon_H21d zenon_H209 zenon_H14 zenon_H14e zenon_H210.
% 51.40/51.61 apply (zenon_or_s _ _ zenon_H214); [ zenon_intro zenon_H1fe | zenon_intro zenon_H215 ].
% 51.40/51.61 apply (zenon_L151_); trivial.
% 51.40/51.61 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H203 | zenon_intro zenon_H216 ].
% 51.40/51.61 apply (zenon_L713_); trivial.
% 51.40/51.61 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H208 | zenon_intro zenon_H20f ].
% 51.40/51.61 apply (zenon_L153_); trivial.
% 51.40/51.61 apply (zenon_L154_); trivial.
% 51.40/51.61 (* end of lemma zenon_L714_ *)
% 51.40/51.61 assert (zenon_L715_ : ((op2 (e23) (e22)) = (e23)) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e23)) -> ((op2 (e22) (e20)) = (e23)) -> ((op2 (e22) (e23)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((e21) = (op2 (e23) (e23))) -> ((op2 (e22) (e21)) = (e23)) -> False).
% 51.40/51.61 do 0 intro. intros zenon_H21d zenon_H175 zenon_H1d7 zenon_H1bd zenon_H1bc zenon_H252 zenon_H1c9 zenon_H1b1 zenon_H36d zenon_H14e zenon_H3c9.
% 51.40/51.61 apply (zenon_or_s _ _ ax11); [ zenon_intro zenon_H1b0 | zenon_intro zenon_H1e2 ].
% 51.40/51.61 apply (zenon_L169_); trivial.
% 51.40/51.61 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H1bb | zenon_intro zenon_H1e3 ].
% 51.40/51.61 apply (zenon_L134_); trivial.
% 51.40/51.61 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H1cb | zenon_intro zenon_H1d6 ].
% 51.40/51.61 apply (zenon_L185_); trivial.
% 51.40/51.61 apply (zenon_L712_); trivial.
% 51.40/51.61 (* end of lemma zenon_L715_ *)
% 51.40/51.61 assert (zenon_L716_ : (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((e20) = (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e23) (e20)) = (e22)) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((op2 (e23) (e22)) = (e23)) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e23)) -> ((op2 (e22) (e23)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((e21) = (op2 (e23) (e23))) -> ((op2 (e22) (e21)) = (e23)) -> False).
% 51.40/51.61 do 0 intro. intros zenon_H273 zenon_H254 zenon_H210 zenon_H209 zenon_H26d zenon_H1fd zenon_H214 zenon_H262 zenon_H14 zenon_H21c zenon_H15e zenon_H21d zenon_H175 zenon_H1d7 zenon_H1bd zenon_H1bc zenon_H1c9 zenon_H1b1 zenon_H36d zenon_H14e zenon_H3c9.
% 51.40/51.61 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H266 | zenon_intro zenon_H274 ].
% 51.40/51.61 apply (zenon_L198_); trivial.
% 51.40/51.61 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H26e | zenon_intro zenon_H275 ].
% 51.40/51.61 apply (zenon_L714_); trivial.
% 51.40/51.61 apply (zenon_or_s _ _ zenon_H275); [ zenon_intro zenon_H176 | zenon_intro zenon_H252 ].
% 51.40/51.61 apply (zenon_L197_); trivial.
% 51.40/51.61 apply (zenon_L715_); trivial.
% 51.40/51.61 (* end of lemma zenon_L716_ *)
% 51.40/51.61 assert (zenon_L717_ : (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((e20) = (e22))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e20) = (e23))) -> ((op2 (e22) (e21)) = (e23)) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e21) (e23)) = (e23)) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e23)) = (e22)) -> ((op2 (e23) (e22)) = (e23)) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((op2 (e23) (e20)) = (e22)) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> ((e21) = (op2 (e23) (e23))) -> (~((e20) = (e21))) -> False).
% 51.40/51.61 do 0 intro. intros zenon_H22f zenon_H195 zenon_H18e zenon_H187 zenon_H16f zenon_H19b zenon_H205 zenon_H3c9 zenon_H36d zenon_H1b1 zenon_H1bc zenon_H1bd zenon_H1d7 zenon_H175 zenon_H21d zenon_H15e zenon_H21c zenon_H14 zenon_H262 zenon_H214 zenon_H1fd zenon_H26d zenon_H209 zenon_H254 zenon_H273 zenon_H14e zenon_H210.
% 51.40/51.61 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H235 ].
% 51.40/51.61 apply (zenon_L183_); trivial.
% 51.40/51.61 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H1a8 | zenon_intro zenon_H236 ].
% 51.40/51.61 apply (zenon_L184_); trivial.
% 51.40/51.61 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1c9 | zenon_intro zenon_H20f ].
% 51.40/51.61 apply (zenon_L716_); trivial.
% 51.40/51.61 apply (zenon_L154_); trivial.
% 51.40/51.61 (* end of lemma zenon_L717_ *)
% 51.40/51.61 assert (zenon_L718_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e22) = (e23))) -> (~((e20) = (e21))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e23) (e20)) = (e22)) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e23)) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e22) (e21)) = (e23)) -> (~((e20) = (e23))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e21) = (e23))) -> ((e21) = (op2 (e23) (e23))) -> False).
% 51.40/51.61 do 0 intro. intros zenon_H222 zenon_H1ac zenon_H210 zenon_H273 zenon_H254 zenon_H209 zenon_H26d zenon_H1fd zenon_H214 zenon_H262 zenon_H14 zenon_H21c zenon_H15e zenon_H175 zenon_H1d7 zenon_H1bd zenon_H1bc zenon_H1b1 zenon_H36d zenon_H3c9 zenon_H205 zenon_H19b zenon_H16f zenon_H187 zenon_H18e zenon_H195 zenon_H22f zenon_H1f7 zenon_H14e.
% 51.40/51.61 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1cd | zenon_intro zenon_H223 ].
% 51.40/51.61 apply (zenon_L192_); trivial.
% 51.40/51.61 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H204 | zenon_intro zenon_H224 ].
% 51.40/51.61 apply (zenon_L155_); trivial.
% 51.40/51.61 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H21d | zenon_intro zenon_H1f8 ].
% 51.40/51.61 apply (zenon_L717_); trivial.
% 51.40/51.61 apply (zenon_L149_); trivial.
% 51.40/51.61 (* end of lemma zenon_L718_ *)
% 51.40/51.61 assert (zenon_L719_ : (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((e20) = (e22))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e20) = (e23))) -> ((op2 (e22) (e21)) = (e23)) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((op2 (e23) (e20)) = (e22)) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((e20) = (e21))) -> (~((e22) = (e23))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e22)) -> ((op2 (e23) (e22)) = (e23)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((e21) = (e23))) -> ((e21) = (op2 (e23) (e23))) -> False).
% 51.40/51.61 do 0 intro. intros zenon_H1fa zenon_H22f zenon_H18e zenon_H187 zenon_H16f zenon_H19b zenon_H205 zenon_H3c9 zenon_H36d zenon_H1b1 zenon_H1bd zenon_H15e zenon_H21c zenon_H14 zenon_H262 zenon_H214 zenon_H1fd zenon_H26d zenon_H209 zenon_H254 zenon_H273 zenon_H210 zenon_H1ac zenon_H222 zenon_H195 zenon_H175 zenon_H21d zenon_H1ec zenon_H17f zenon_H267 zenon_H1d7 zenon_H1f7 zenon_H14e.
% 51.40/51.61 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H1ab | zenon_intro zenon_H1fb ].
% 51.40/51.61 apply (zenon_L132_); trivial.
% 51.40/51.61 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H1bc | zenon_intro zenon_H1fc ].
% 51.40/51.61 apply (zenon_L718_); trivial.
% 51.40/51.61 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H1f8 ].
% 51.40/51.61 apply (zenon_L202_); trivial.
% 51.40/51.61 apply (zenon_L149_); trivial.
% 51.40/51.61 (* end of lemma zenon_L719_ *)
% 51.40/51.61 assert (zenon_L720_ : (~((e20) = (e21))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((op2 (e22) (e23)) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((e20) = (e22))) -> (~((e22) = (e23))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e22)) = (e22)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> False).
% 51.40/51.61 do 0 intro. intros zenon_H210 zenon_H14e zenon_H209 zenon_H22f zenon_H19b zenon_H1e7 zenon_H1e6 zenon_H1bd zenon_H1cc zenon_H1d7 zenon_H214 zenon_H1fd zenon_H16f zenon_H1ac zenon_H24e zenon_H1ec zenon_H256 zenon_H2b7 zenon_H1f3 zenon_H21b zenon_H1d8 zenon_H217 zenon_H21f zenon_H187 zenon_H18e zenon_H15e zenon_H14 zenon_H195.
% 51.40/51.61 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H175 | zenon_intro zenon_H19c ].
% 51.40/51.61 apply (zenon_L271_); trivial.
% 51.40/51.61 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H186 | zenon_intro zenon_H19d ].
% 51.40/51.61 apply (zenon_L124_); trivial.
% 51.40/51.61 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H18d | zenon_intro zenon_H194 ].
% 51.40/51.61 apply (zenon_L125_); trivial.
% 51.40/51.61 apply (zenon_L126_); trivial.
% 51.40/51.61 (* end of lemma zenon_L720_ *)
% 51.40/51.61 assert (zenon_L721_ : (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e22) = (e23))) -> (~((e20) = (e22))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e22) (e23)) = (e23)) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e21) = (op2 (e23) (e23))) -> (~((e20) = (e21))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> False).
% 51.40/51.61 do 0 intro. intros zenon_H2b6 zenon_H23c zenon_H24b zenon_H18e zenon_H187 zenon_H21f zenon_H217 zenon_H21b zenon_H1f3 zenon_H2b7 zenon_H256 zenon_H1ec zenon_H24e zenon_H1ac zenon_H16f zenon_H1fd zenon_H214 zenon_H1d7 zenon_H1cc zenon_H1bd zenon_H1e6 zenon_H1e7 zenon_H19b zenon_H22f zenon_H209 zenon_H14e zenon_H210 zenon_H15e zenon_H14 zenon_H195.
% 51.40/51.61 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_H21c | zenon_intro zenon_H24f ].
% 51.40/51.61 apply (zenon_L263_); trivial.
% 51.40/51.61 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H229 | zenon_intro zenon_H250 ].
% 51.40/51.61 apply (zenon_L163_); trivial.
% 51.40/51.61 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H194 ].
% 51.40/51.61 apply (zenon_L720_); trivial.
% 51.40/51.61 apply (zenon_L126_); trivial.
% 51.40/51.61 (* end of lemma zenon_L721_ *)
% 51.40/51.61 assert (zenon_L722_ : (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> ((op2 (e20) (e22)) = (e20)) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((e21) = (op2 (e23) (e23))) -> (~((e21) = (e23))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((e20) = (e23))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> (~((e20) = (e21))) -> ((op2 (e23) (e20)) = (e22)) -> (~((e22) = (e23))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((e10) = (e11))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((e11) = (e12))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((e10) = (e13))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e13))) -> (~((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 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e13)) = (e23)) -> (~((h4 (op1 (e12) (e12))) = (op2 (h4 (e12)) (h4 (e12))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((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) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> False).
% 51.40/51.61 do 0 intro. intros zenon_H3df zenon_H156 zenon_H273 zenon_H254 zenon_H26d zenon_H262 zenon_H1b1 zenon_H36d zenon_H1fa zenon_H3e2 zenon_H22f zenon_H19b zenon_H1e6 zenon_H1bd zenon_H1cc zenon_H16f zenon_H24e zenon_H2b7 zenon_H1f3 zenon_H21b zenon_H217 zenon_H21f zenon_H187 zenon_H18e zenon_H24b zenon_H23c zenon_H2b6 zenon_H14e zenon_H1f7 zenon_H283 zenon_H214 zenon_H1fd zenon_H205 zenon_H209 zenon_H14 zenon_H210 zenon_H21c zenon_H1ac zenon_H222 zenon_Hda zenon_H1c zenon_H2c zenon_Hd3 zenon_Hab zenon_H35 zenon_Hde zenon_H135 zenon_H24 zenon_Hb0 zenon_Hf6 zenon_H54 zenon_H10e zenon_H7d zenon_H72 zenon_Haf zenon_H8c zenon_H117 zenon_H105 zenon_Hfe zenon_H2b zenon_H10b zenon_H90 zenon_Hcb zenon_Hf0 zenon_Hec zenon_Hc2 zenon_Hf3 zenon_Hb5 zenon_H4b zenon_H42 zenon_H9e zenon_H12c zenon_He1 zenon_H3d zenon_H128 zenon_H125 zenon_H131 zenon_H123 zenon_H113 zenon_Hff zenon_Hf8 zenon_H45 zenon_H95 zenon_H65 zenon_Ha2 zenon_Hfb zenon_Hcf zenon_Hea zenon_Hc8 zenon_H136 zenon_Hb8 zenon_H19 zenon_H1b zenon_H2d1 zenon_H33a zenon_H31e zenon_H341 zenon_H2be zenon_H32a zenon_H2ff zenon_H324 zenon_H2db zenon_H2e1 zenon_H2ba zenon_H2c5 zenon_H2c9 zenon_H3d9 zenon_H305 zenon_H2ce zenon_H3dc zenon_H15e zenon_H349 zenon_H2ea zenon_H3d2 zenon_H2e0 zenon_H327 zenon_H33e zenon_H318 zenon_H311 zenon_H30d zenon_H31b zenon_H314 zenon_H2d4 zenon_H13b zenon_H1d7 zenon_H267 zenon_H17f zenon_H1ec zenon_H175 zenon_H195.
% 51.40/51.61 apply (zenon_or_s _ _ zenon_H3df); [ zenon_intro zenon_H252 | zenon_intro zenon_H3e0 ].
% 51.40/51.61 apply (zenon_L710_); trivial.
% 51.40/51.61 apply (zenon_or_s _ _ zenon_H3e0); [ zenon_intro zenon_H3c9 | zenon_intro zenon_H3e1 ].
% 51.40/51.61 apply (zenon_or_s _ _ zenon_H3e2); [ zenon_intro zenon_H256 | zenon_intro zenon_H3e3 ].
% 51.40/51.61 apply (zenon_L263_); trivial.
% 51.40/51.61 apply (zenon_or_s _ _ zenon_H3e3); [ zenon_intro zenon_H284 | zenon_intro zenon_H3e4 ].
% 51.40/51.61 apply (zenon_L711_); trivial.
% 51.40/51.61 apply (zenon_or_s _ _ zenon_H3e4); [ zenon_intro zenon_H3cb | zenon_intro zenon_H21d ].
% 51.40/51.61 apply (zenon_L703_); trivial.
% 51.40/51.61 apply (zenon_L719_); trivial.
% 51.40/51.61 apply (zenon_or_s _ _ zenon_H3e1); [ zenon_intro zenon_H3cb | zenon_intro zenon_H1e7 ].
% 51.40/51.61 apply (zenon_L703_); trivial.
% 51.40/51.61 apply (zenon_or_s _ _ zenon_H3e2); [ zenon_intro zenon_H256 | zenon_intro zenon_H3e3 ].
% 51.40/51.61 apply (zenon_L721_); trivial.
% 51.40/51.61 apply (zenon_or_s _ _ zenon_H3e3); [ zenon_intro zenon_H284 | zenon_intro zenon_H3e4 ].
% 51.40/51.61 apply (zenon_L708_); trivial.
% 51.40/51.61 apply (zenon_or_s _ _ zenon_H3e4); [ zenon_intro zenon_H3cb | zenon_intro zenon_H21d ].
% 51.40/51.61 apply (zenon_L703_); trivial.
% 51.40/51.61 apply (zenon_L202_); trivial.
% 51.40/51.61 (* end of lemma zenon_L722_ *)
% 51.40/51.61 assert (zenon_L723_ : (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> ((op2 (e23) (e20)) = (e22)) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((e10) = (e11))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((e11) = (e12))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((e10) = (e13))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e13))) -> (~((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 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e13)) = (e23)) -> (~((h4 (op1 (e12) (e12))) = (op2 (h4 (e12)) (h4 (e12))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((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) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((e21) = (e23))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((e20) = (e23))) -> (~((e20) = (e22))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e22)) = (e22)) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((e22) = (e23))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (~((e20) = (e21))) -> False).
% 51.40/51.61 do 0 intro. intros zenon_H3e2 zenon_H2b6 zenon_H21b zenon_H23c zenon_H24b zenon_H21c zenon_H222 zenon_Hda zenon_H1c zenon_H2c zenon_Hd3 zenon_Hab zenon_H35 zenon_Hde zenon_H135 zenon_H24 zenon_Hb0 zenon_Hf6 zenon_H54 zenon_H10e zenon_H7d zenon_H72 zenon_Haf zenon_H8c zenon_H117 zenon_H105 zenon_Hfe zenon_H2b zenon_H10b zenon_H90 zenon_Hcb zenon_Hf0 zenon_Hec zenon_Hc2 zenon_Hf3 zenon_Hb5 zenon_H4b zenon_H42 zenon_H9e zenon_H12c zenon_He1 zenon_H3d zenon_H128 zenon_H125 zenon_H131 zenon_H123 zenon_H113 zenon_Hff zenon_Hf8 zenon_H45 zenon_H95 zenon_H65 zenon_Ha2 zenon_Hfb zenon_Hcf zenon_Hea zenon_Hc8 zenon_H136 zenon_Hb8 zenon_H19 zenon_H1b zenon_H2d1 zenon_H33a zenon_H31e zenon_H341 zenon_H2be zenon_H32a zenon_H2ff zenon_H324 zenon_H2db zenon_H2e1 zenon_H2ba zenon_H2c5 zenon_H2c9 zenon_H3d9 zenon_H305 zenon_H2ce zenon_H3dc zenon_H349 zenon_H2ea zenon_H3d2 zenon_H2e0 zenon_H327 zenon_H33e zenon_H318 zenon_H311 zenon_H30d zenon_H31b zenon_H314 zenon_H2d4 zenon_H13b zenon_H214 zenon_H1fd zenon_H1f7 zenon_H285 zenon_H273 zenon_H254 zenon_H205 zenon_H16f zenon_H22f zenon_H26d zenon_H19f zenon_H19e zenon_H15e zenon_H1bd zenon_H1b1 zenon_H19b zenon_H187 zenon_H18e zenon_H27c zenon_H1f3 zenon_H280 zenon_H27f zenon_H195 zenon_H175 zenon_H1ec zenon_H267 zenon_H1d7 zenon_H283 zenon_H1ac zenon_H1fa zenon_H209 zenon_H14 zenon_H14e zenon_H210.
% 51.40/51.61 apply (zenon_or_s _ _ zenon_H3e2); [ zenon_intro zenon_H256 | zenon_intro zenon_H3e3 ].
% 51.40/51.61 apply (zenon_L263_); trivial.
% 51.40/51.61 apply (zenon_or_s _ _ zenon_H3e3); [ zenon_intro zenon_H284 | zenon_intro zenon_H3e4 ].
% 51.40/51.61 apply (zenon_L708_); trivial.
% 51.40/51.61 apply (zenon_or_s _ _ zenon_H3e4); [ zenon_intro zenon_H3cb | zenon_intro zenon_H21d ].
% 51.40/51.61 apply (zenon_L703_); trivial.
% 51.40/51.61 apply (zenon_L219_); trivial.
% 51.40/51.61 (* end of lemma zenon_L723_ *)
% 51.40/51.61 assert (zenon_L724_ : ((op2 (e22) (e23)) = (e20)) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e13)) = (e23)) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e23) (op2 (e23) (e23))) = (op2 (h4 (e12)) (h4 (e13))))) -> False).
% 51.40/51.61 do 0 intro. intros zenon_H1c9 zenon_H349 zenon_H15e zenon_H2ea zenon_H14 zenon_H3e6.
% 51.40/51.61 elim (classic ((op2 (h4 (e12)) (h4 (e13))) = (op2 (h4 (e12)) (h4 (e13))))); [ zenon_intro zenon_H3e7 | zenon_intro zenon_H3e8 ].
% 51.40/51.61 cut (((op2 (h4 (e12)) (h4 (e13))) = (op2 (h4 (e12)) (h4 (e13)))) = ((op2 (e23) (op2 (e23) (e23))) = (op2 (h4 (e12)) (h4 (e13))))).
% 51.40/51.61 intro zenon_D_pnotp.
% 51.40/51.61 apply zenon_H3e6.
% 51.40/51.61 rewrite <- zenon_D_pnotp.
% 51.40/51.61 exact zenon_H3e7.
% 51.40/51.61 cut (((op2 (h4 (e12)) (h4 (e13))) = (op2 (h4 (e12)) (h4 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H3e8].
% 51.40/51.61 cut (((op2 (h4 (e12)) (h4 (e13))) = (op2 (e23) (op2 (e23) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H3e9].
% 51.40/51.61 congruence.
% 51.40/51.61 cut (((op2 (e22) (e23)) = (e20)) = ((op2 (h4 (e12)) (h4 (e13))) = (op2 (e23) (op2 (e23) (e23))))).
% 51.40/51.61 intro zenon_D_pnotp.
% 51.40/51.61 apply zenon_H3e9.
% 51.40/51.61 rewrite <- zenon_D_pnotp.
% 51.40/51.61 exact zenon_H1c9.
% 51.40/51.61 cut (((e20) = (op2 (e23) (op2 (e23) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H148].
% 51.40/51.61 cut (((op2 (e22) (e23)) = (op2 (h4 (e12)) (h4 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H3ea].
% 51.40/51.61 congruence.
% 51.40/51.61 elim (classic ((op2 (h4 (e12)) (h4 (e13))) = (op2 (h4 (e12)) (h4 (e13))))); [ zenon_intro zenon_H3e7 | zenon_intro zenon_H3e8 ].
% 51.40/51.61 cut (((op2 (h4 (e12)) (h4 (e13))) = (op2 (h4 (e12)) (h4 (e13)))) = ((op2 (e22) (e23)) = (op2 (h4 (e12)) (h4 (e13))))).
% 51.40/51.61 intro zenon_D_pnotp.
% 51.40/51.61 apply zenon_H3ea.
% 51.40/51.61 rewrite <- zenon_D_pnotp.
% 51.40/51.61 exact zenon_H3e7.
% 51.40/51.61 cut (((op2 (h4 (e12)) (h4 (e13))) = (op2 (h4 (e12)) (h4 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H3e8].
% 51.40/51.61 cut (((op2 (h4 (e12)) (h4 (e13))) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H3eb].
% 51.40/51.61 congruence.
% 51.40/51.61 cut (((h4 (e13)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H399].
% 51.40/51.61 cut (((h4 (e12)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H348].
% 51.40/51.61 congruence.
% 51.40/51.61 apply (zenon_L487_); trivial.
% 51.40/51.61 exact (zenon_H399 zenon_H2ea).
% 51.40/51.61 apply zenon_H3e8. apply refl_equal.
% 51.40/51.61 apply zenon_H3e8. apply refl_equal.
% 51.40/51.61 exact (zenon_H148 zenon_H14).
% 51.40/51.61 apply zenon_H3e8. apply refl_equal.
% 51.40/51.61 apply zenon_H3e8. apply refl_equal.
% 51.40/51.61 (* end of lemma zenon_L724_ *)
% 51.40/51.61 assert (zenon_L725_ : (~((h4 (op1 (e12) (e13))) = (op2 (h4 (e12)) (h4 (e13))))) -> ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) -> ((op1 (e12) (e13)) = (e10)) -> ((op2 (e22) (e23)) = (e20)) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e13)) = (e23)) -> False).
% 51.40/51.61 do 0 intro. intros zenon_H3ec zenon_H13 zenon_H62 zenon_H1c9 zenon_H14 zenon_H349 zenon_H15e zenon_H2ea.
% 51.40/51.61 cut (((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) = ((h4 (op1 (e12) (e13))) = (op2 (h4 (e12)) (h4 (e13))))).
% 51.40/51.61 intro zenon_D_pnotp.
% 51.40/51.61 apply zenon_H3ec.
% 51.40/51.61 rewrite <- zenon_D_pnotp.
% 51.40/51.61 exact zenon_H13.
% 51.40/51.61 cut (((op2 (e23) (op2 (e23) (e23))) = (op2 (h4 (e12)) (h4 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H3e6].
% 51.40/51.61 cut (((h4 (e10)) = (h4 (op1 (e12) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H3ed].
% 51.40/51.61 congruence.
% 51.40/51.61 elim (classic ((h4 (op1 (e12) (e13))) = (h4 (op1 (e12) (e13))))); [ zenon_intro zenon_H3ee | zenon_intro zenon_H3ef ].
% 51.40/51.61 cut (((h4 (op1 (e12) (e13))) = (h4 (op1 (e12) (e13)))) = ((h4 (e10)) = (h4 (op1 (e12) (e13))))).
% 51.40/51.61 intro zenon_D_pnotp.
% 51.40/51.61 apply zenon_H3ed.
% 51.40/51.61 rewrite <- zenon_D_pnotp.
% 51.40/51.61 exact zenon_H3ee.
% 51.40/51.61 cut (((h4 (op1 (e12) (e13))) = (h4 (op1 (e12) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H3ef].
% 51.40/51.61 cut (((h4 (op1 (e12) (e13))) = (h4 (e10)))); [idtac | apply NNPP; zenon_intro zenon_H3f0].
% 51.40/51.61 congruence.
% 51.40/51.61 cut (((op1 (e12) (e13)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H3f1].
% 51.40/51.61 congruence.
% 51.40/51.61 exact (zenon_H3f1 zenon_H62).
% 51.40/51.61 apply zenon_H3ef. apply refl_equal.
% 51.40/51.61 apply zenon_H3ef. apply refl_equal.
% 51.40/51.61 apply (zenon_L724_); trivial.
% 51.40/51.61 (* end of lemma zenon_L725_ *)
% 51.40/51.61 assert (zenon_L726_ : (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e13))) -> ((op1 (e13) (e11)) = (e10)) -> ((op1 (e11) (e12)) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e13))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((h4 (e13)) = (e23)) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e22) (e23)) = (e20)) -> ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) -> (~((h4 (op1 (e12) (e13))) = (op2 (h4 (e12)) (h4 (e13))))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> False).
% 51.40/51.61 do 0 intro. intros zenon_H90 zenon_H35 zenon_Hda zenon_H1c zenon_H2c zenon_Hd3 zenon_Hab zenon_Hcf zenon_H95 zenon_H65 zenon_H9e zenon_Ha2 zenon_H4b zenon_Hb5 zenon_H42 zenon_Hbe zenon_Ha3 zenon_Hcb zenon_H3d zenon_Hde zenon_H2ea zenon_H15e zenon_H349 zenon_H14 zenon_H1c9 zenon_H13 zenon_H3ec zenon_H19 zenon_H8c.
% 51.40/51.61 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H4e | zenon_intro zenon_H91 ].
% 51.40/51.61 apply (zenon_L47_); trivial.
% 51.40/51.61 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H50 | zenon_intro zenon_H92 ].
% 51.40/51.61 apply (zenon_L287_); trivial.
% 51.40/51.61 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H62 | zenon_intro zenon_H8b ].
% 51.40/51.61 apply (zenon_L725_); trivial.
% 51.40/51.61 apply (zenon_L24_); trivial.
% 51.40/51.61 (* end of lemma zenon_L726_ *)
% 51.40/51.61 assert (zenon_L727_ : (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((h4 (op1 (e12) (e13))) = (op2 (h4 (e12)) (h4 (e13))))) -> ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e22) (e23)) = (e20)) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e13)) = (e23)) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e12)) = (e13)) -> (~((e10) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> False).
% 51.40/51.61 do 0 intro. intros zenon_Hc8 zenon_Hb8 zenon_H3ec zenon_H13 zenon_H1c9 zenon_H14 zenon_H349 zenon_H15e zenon_H2ea zenon_Hde zenon_H3d zenon_Hcb zenon_Ha3 zenon_H42 zenon_Hb5 zenon_H4b zenon_Ha2 zenon_H9e zenon_H65 zenon_H95 zenon_Hcf zenon_Hab zenon_Hd3 zenon_H2c zenon_Hda zenon_H35 zenon_H90 zenon_Hc2 zenon_H1c zenon_H19 zenon_H8c.
% 51.40/51.61 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hc9 ].
% 51.40/51.61 apply (zenon_L39_); trivial.
% 51.40/51.61 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hca ].
% 51.40/51.61 apply (zenon_L726_); trivial.
% 51.40/51.61 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H8b ].
% 51.40/51.61 apply (zenon_L41_); trivial.
% 51.40/51.61 apply (zenon_L24_); trivial.
% 51.40/51.61 (* end of lemma zenon_L727_ *)
% 51.40/51.61 assert (zenon_L728_ : (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e13))) -> ((op1 (e11) (e13)) = (e13)) -> ((h4 (e13)) = (e23)) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e22) (e23)) = (e20)) -> ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) -> (~((h4 (op1 (e12) (e13))) = (op2 (h4 (e12)) (h4 (e13))))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> False).
% 51.40/51.61 do 0 intro. intros zenon_H90 zenon_Hda zenon_H1c zenon_H2c zenon_Hd3 zenon_Hab zenon_H35 zenon_Hde zenon_H42 zenon_H51 zenon_H2ea zenon_H15e zenon_H349 zenon_H14 zenon_H1c9 zenon_H13 zenon_H3ec zenon_H19 zenon_H8c.
% 51.40/51.61 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H4e | zenon_intro zenon_H91 ].
% 51.40/51.61 apply (zenon_L47_); trivial.
% 51.40/51.61 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H50 | zenon_intro zenon_H92 ].
% 51.40/51.61 apply (zenon_L17_); trivial.
% 51.40/51.61 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H62 | zenon_intro zenon_H8b ].
% 51.40/51.61 apply (zenon_L725_); trivial.
% 51.40/51.61 apply (zenon_L24_); trivial.
% 51.40/51.61 (* end of lemma zenon_L728_ *)
% 51.40/51.61 assert (zenon_L729_ : (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e11) (e12)) = (e10)) -> ((op1 (e13) (e11)) = (e10)) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((h4 (e13)) = (e23)) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e22) (e23)) = (e20)) -> ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) -> (~((h4 (op1 (e12) (e13))) = (op2 (h4 (e12)) (h4 (e13))))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> False).
% 51.40/51.61 do 0 intro. intros zenon_H90 zenon_Hda zenon_H2c zenon_Hd3 zenon_Hab zenon_H35 zenon_Hde zenon_H2db zenon_H126 zenon_Hbe zenon_H1c zenon_H2ea zenon_H15e zenon_H349 zenon_H14 zenon_H1c9 zenon_H13 zenon_H3ec zenon_H19 zenon_H8c.
% 51.40/51.61 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H4e | zenon_intro zenon_H91 ].
% 51.40/51.61 apply (zenon_L47_); trivial.
% 51.40/51.61 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H50 | zenon_intro zenon_H92 ].
% 51.40/51.61 apply (zenon_L303_); trivial.
% 51.40/51.61 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H62 | zenon_intro zenon_H8b ].
% 51.40/51.61 apply (zenon_L725_); trivial.
% 51.40/51.61 apply (zenon_L24_); trivial.
% 51.40/51.61 (* end of lemma zenon_L729_ *)
% 51.40/51.61 assert (zenon_L730_ : (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((h4 (op1 (e12) (e13))) = (op2 (h4 (e12)) (h4 (e13))))) -> ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e22) (e23)) = (e20)) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e13)) = (e23)) -> ((op1 (e11) (e12)) = (e10)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> False).
% 51.40/51.61 do 0 intro. intros zenon_Hc8 zenon_Hb8 zenon_H3ec zenon_H13 zenon_H1c9 zenon_H14 zenon_H349 zenon_H15e zenon_H2ea zenon_H126 zenon_H2db zenon_Hde zenon_H35 zenon_Hab zenon_Hd3 zenon_H2c zenon_Hda zenon_H90 zenon_Hc2 zenon_H1c zenon_H19 zenon_H8c.
% 51.40/51.61 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hc9 ].
% 51.40/51.61 apply (zenon_L39_); trivial.
% 51.40/51.61 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hca ].
% 51.40/51.61 apply (zenon_L729_); trivial.
% 51.40/51.61 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H8b ].
% 51.40/51.61 apply (zenon_L41_); trivial.
% 51.40/51.61 apply (zenon_L24_); trivial.
% 51.40/51.61 (* end of lemma zenon_L730_ *)
% 51.40/51.61 assert (zenon_L731_ : (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((h4 (e13)) = (e23)) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e22) (e23)) = (e20)) -> ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) -> (~((h4 (op1 (e12) (e13))) = (op2 (h4 (e12)) (h4 (e13))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e11))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((op1 (e13) (e10)) = (e12)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e13))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e11) = (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> False).
% 51.40/51.61 do 0 intro. intros zenon_H2e0 zenon_H10e zenon_H90 zenon_H35 zenon_H2db zenon_H2ea zenon_H15e zenon_H349 zenon_H14 zenon_H1c9 zenon_H13 zenon_H3ec zenon_Hde zenon_H8c zenon_H19 zenon_Hc2 zenon_Hcf zenon_He8 zenon_He1 zenon_H41 zenon_Hea zenon_H9e zenon_H42 zenon_H4b zenon_Hb5 zenon_H3d zenon_Hb8 zenon_Hc8 zenon_Hab zenon_Hd3 zenon_H2c zenon_H1c zenon_Hda.
% 51.40/51.61 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H33 | zenon_intro zenon_H2e2 ].
% 51.40/51.61 apply (zenon_L12_); trivial.
% 51.40/51.61 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2e3 ].
% 51.40/51.61 apply (zenon_L283_); trivial.
% 51.40/51.61 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H126 | zenon_intro zenon_H50 ].
% 51.40/51.61 apply (zenon_L730_); trivial.
% 51.40/51.61 apply (zenon_L408_); trivial.
% 51.40/51.61 (* end of lemma zenon_L731_ *)
% 51.40/51.61 assert (zenon_L732_ : (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((e10) = (e11))) -> (~((h4 (op1 (e12) (e13))) = (op2 (h4 (e12)) (h4 (e13))))) -> ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e22) (e23)) = (e20)) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e13)) = (e23)) -> (~((e10) = (e13))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op1 (e13) (e12)) = (e12)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e11) (e13)) = (e10)) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((e11) = (e13))) -> ((e11) = (op1 (e13) (e13))) -> False).
% 51.40/51.61 do 0 intro. intros zenon_Hb5 zenon_H4b zenon_H8c zenon_H3ec zenon_H13 zenon_H1c9 zenon_H14 zenon_H349 zenon_H15e zenon_H2ea zenon_H42 zenon_Hde zenon_H35 zenon_Hab zenon_Hd3 zenon_H2c zenon_H1c zenon_Hda zenon_H90 zenon_Hf1 zenon_He1 zenon_H9e zenon_Hea zenon_H50 zenon_H41 zenon_H95 zenon_H49 zenon_H3d zenon_H19.
% 51.40/51.61 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H4a | zenon_intro zenon_Hb6 ].
% 51.40/51.61 apply (zenon_L15_); trivial.
% 51.40/51.61 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H51 | zenon_intro zenon_Hb7 ].
% 51.40/51.61 apply (zenon_L728_); trivial.
% 51.40/51.61 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb3 ].
% 51.40/51.61 apply (zenon_L337_); trivial.
% 51.40/51.61 apply (zenon_L37_); trivial.
% 51.40/51.61 (* end of lemma zenon_L732_ *)
% 51.40/51.61 assert (zenon_L733_ : (((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 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> ((op1 (e13) (e11)) = (e10)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((e10) = (e11))) -> (~((h4 (op1 (e12) (e13))) = (op2 (h4 (e12)) (h4 (e13))))) -> ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e22) (e23)) = (e20)) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e13)) = (e23)) -> (~((e10) = (e13))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e11) (e13)) = (e10)) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> ((e11) = (op1 (e13) (e13))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> False).
% 51.40/51.61 do 0 intro. intros zenon_H327 zenon_Hc8 zenon_Hb8 zenon_Hcf zenon_Hc2 zenon_H2db zenon_H10e zenon_H2e0 zenon_Hbe zenon_Hd3 zenon_Hab zenon_Hb5 zenon_H4b zenon_H8c zenon_H3ec zenon_H13 zenon_H1c9 zenon_H14 zenon_H349 zenon_H15e zenon_H2ea zenon_H42 zenon_Hde zenon_H35 zenon_H90 zenon_He1 zenon_H9e zenon_Hea zenon_H50 zenon_H41 zenon_H95 zenon_H3d zenon_H19 zenon_H2c zenon_H1c zenon_Hda.
% 51.40/51.61 apply (zenon_or_s _ _ zenon_H327); [ zenon_intro zenon_He8 | zenon_intro zenon_H328 ].
% 51.40/51.61 apply (zenon_L731_); trivial.
% 51.40/51.61 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H2de | zenon_intro zenon_H329 ].
% 51.40/51.61 apply (zenon_L308_); trivial.
% 51.40/51.61 apply (zenon_or_s _ _ zenon_H329); [ zenon_intro zenon_Hf1 | zenon_intro zenon_Hd9 ].
% 51.40/51.61 apply (zenon_or_s _ _ zenon_Hde); [ zenon_intro zenon_H49 | zenon_intro zenon_Hdf ].
% 51.40/51.61 apply (zenon_L732_); trivial.
% 51.40/51.61 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_Haa | zenon_intro zenon_He0 ].
% 51.40/51.61 apply (zenon_L34_); trivial.
% 51.40/51.61 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hd2 | zenon_intro zenon_Hd9 ].
% 51.40/51.61 apply (zenon_L45_); trivial.
% 51.40/51.61 apply (zenon_L46_); trivial.
% 51.40/51.61 apply (zenon_L46_); trivial.
% 51.40/51.61 (* end of lemma zenon_L733_ *)
% 51.40/51.61 assert (zenon_L734_ : (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e10)) = (e13)) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e13))) -> ((h4 (e13)) = (e23)) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e22) (e23)) = (e20)) -> ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) -> (~((h4 (op1 (e12) (e13))) = (op2 (h4 (e12)) (h4 (e13))))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> False).
% 51.40/51.61 do 0 intro. intros zenon_Hda zenon_H2c zenon_H3d zenon_H95 zenon_H41 zenon_H50 zenon_Hea zenon_H9e zenon_He1 zenon_H90 zenon_H35 zenon_Hde zenon_H42 zenon_H2ea zenon_H15e zenon_H349 zenon_H14 zenon_H1c9 zenon_H13 zenon_H3ec zenon_H4b zenon_Hb5 zenon_Hab zenon_Hd3 zenon_H2e0 zenon_H10e zenon_H2db zenon_Hcf zenon_Hb8 zenon_Hc8 zenon_H327 zenon_Hc2 zenon_H1c zenon_H19 zenon_H8c.
% 51.40/51.61 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hc9 ].
% 51.40/51.61 apply (zenon_L39_); trivial.
% 51.40/51.61 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hca ].
% 51.40/51.61 apply (zenon_L733_); trivial.
% 51.40/51.61 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H8b ].
% 51.40/51.61 apply (zenon_L41_); trivial.
% 51.40/51.61 apply (zenon_L24_); trivial.
% 51.40/51.61 (* end of lemma zenon_L734_ *)
% 51.40/51.61 assert (zenon_L735_ : (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((op1 (e10) (e11)) = (e13)) -> ((op1 (e11) (e10)) = (e11)) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((h4 (e13)) = (e23)) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e22) (e23)) = (e20)) -> ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) -> (~((h4 (op1 (e12) (e13))) = (op2 (h4 (e12)) (h4 (e13))))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> False).
% 51.40/51.61 do 0 intro. intros zenon_H90 zenon_Hda zenon_H2c zenon_Hd3 zenon_Hab zenon_H35 zenon_Hde zenon_H42 zenon_Hc8 zenon_Hb8 zenon_H3d zenon_Hcb zenon_Hb5 zenon_H4b zenon_Ha2 zenon_H9e zenon_H65 zenon_H95 zenon_H49 zenon_Hcf zenon_Hc2 zenon_H1c zenon_H45 zenon_H46 zenon_H108 zenon_Hf8 zenon_H2ea zenon_H15e zenon_H349 zenon_H14 zenon_H1c9 zenon_H13 zenon_H3ec zenon_H19 zenon_H8c.
% 51.40/51.61 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H4e | zenon_intro zenon_H91 ].
% 51.40/51.61 apply (zenon_L47_); trivial.
% 51.40/51.61 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H50 | zenon_intro zenon_H92 ].
% 51.40/51.61 apply (zenon_L550_); trivial.
% 51.40/51.61 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H62 | zenon_intro zenon_H8b ].
% 51.40/51.61 apply (zenon_L725_); trivial.
% 51.40/51.61 apply (zenon_L24_); trivial.
% 51.40/51.61 (* end of lemma zenon_L735_ *)
% 51.40/51.61 assert (zenon_L736_ : (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> ((op1 (e10) (e12)) = (e13)) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((h4 (e13)) = (e23)) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e22) (e23)) = (e20)) -> ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) -> (~((h4 (op1 (e12) (e13))) = (op2 (h4 (e12)) (h4 (e13))))) -> (~((e11) = (e13))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e13) (e11)) = (e10)) -> ((op1 (e11) (e10)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((e10) = (e11))) -> (~((e10) = (e12))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op1 (e12) (e10)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e13) (e10)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e13)) = (e10)) -> (~((e10) = (e13))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False).
% 51.40/51.61 do 0 intro. intros zenon_H324 zenon_He6 zenon_H90 zenon_Hda zenon_Hd3 zenon_Hde zenon_H2db zenon_H2ea zenon_H15e zenon_H349 zenon_H14 zenon_H1c9 zenon_H13 zenon_H3ec zenon_H3d zenon_H131 zenon_H12c zenon_Hbe zenon_H108 zenon_H128 zenon_H8c zenon_H35 zenon_Hb8 zenon_Hc8 zenon_H7c zenon_H2ff zenon_H2ba zenon_H2e1 zenon_Hb0 zenon_Ha2 zenon_H9e zenon_H65 zenon_H66 zenon_H95 zenon_H49 zenon_H54 zenon_Hab zenon_H2c zenon_Haf zenon_H50 zenon_H42 zenon_H4b zenon_Hb5 zenon_H1c zenon_H19 zenon_Hc2.
% 51.40/51.61 apply (zenon_or_s _ _ zenon_H324); [ zenon_intro zenon_H22 | zenon_intro zenon_H325 ].
% 51.40/51.61 apply (zenon_L56_); trivial.
% 51.40/51.61 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H126 | zenon_intro zenon_H326 ].
% 51.40/51.61 apply (zenon_L730_); trivial.
% 51.40/51.61 apply (zenon_or_s _ _ zenon_H326); [ zenon_intro zenon_H321 | zenon_intro zenon_Hc1 ].
% 51.40/51.61 apply (zenon_L389_); trivial.
% 51.40/51.61 apply (zenon_L41_); trivial.
% 51.40/51.61 (* end of lemma zenon_L736_ *)
% 51.40/51.61 assert (zenon_L737_ : (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e12))) -> (~((e11) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e11)) = (e10)) -> ((op1 (e13) (e10)) = (e12)) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((h4 (e13)) = (e23)) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e22) (e23)) = (e20)) -> ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) -> (~((h4 (op1 (e12) (e13))) = (op2 (h4 (e12)) (h4 (e13))))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> False).
% 51.40/51.61 do 0 intro. intros zenon_H90 zenon_H35 zenon_H3d zenon_Hb5 zenon_H4b zenon_H42 zenon_Hda zenon_H49 zenon_H9e zenon_Hea zenon_H41 zenon_He1 zenon_Hbe zenon_He8 zenon_Hcf zenon_H2ea zenon_H15e zenon_H349 zenon_H14 zenon_H1c9 zenon_H13 zenon_H3ec zenon_H19 zenon_H8c.
% 51.40/51.61 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H4e | zenon_intro zenon_H91 ].
% 51.40/51.61 apply (zenon_L16_); trivial.
% 51.40/51.61 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H50 | zenon_intro zenon_H92 ].
% 51.40/51.61 apply (zenon_L94_); trivial.
% 51.40/51.61 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H62 | zenon_intro zenon_H8b ].
% 51.40/51.61 apply (zenon_L725_); trivial.
% 51.40/51.61 apply (zenon_L24_); trivial.
% 51.40/51.61 (* end of lemma zenon_L737_ *)
% 51.40/51.61 assert (zenon_L738_ : (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((h4 (op1 (e12) (e13))) = (op2 (h4 (e12)) (h4 (e13))))) -> ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e22) (e23)) = (e20)) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e13)) = (e23)) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((op1 (e13) (e10)) = (e12)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e13))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e11) = (e13))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> False).
% 51.40/51.61 do 0 intro. intros zenon_Hc8 zenon_Hb8 zenon_H3ec zenon_H13 zenon_H1c9 zenon_H14 zenon_H349 zenon_H15e zenon_H2ea zenon_Hcf zenon_He8 zenon_He1 zenon_H41 zenon_Hea zenon_H9e zenon_H49 zenon_Hda zenon_H42 zenon_H4b zenon_Hb5 zenon_H3d zenon_H35 zenon_H90 zenon_Hc2 zenon_H1c zenon_H19 zenon_H8c.
% 51.40/51.61 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hc9 ].
% 51.40/51.61 apply (zenon_L39_); trivial.
% 51.40/51.61 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hca ].
% 51.40/51.61 apply (zenon_L737_); trivial.
% 51.40/51.61 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H8b ].
% 51.40/51.61 apply (zenon_L41_); trivial.
% 51.40/51.61 apply (zenon_L24_); trivial.
% 51.40/51.61 (* end of lemma zenon_L738_ *)
% 51.40/51.61 assert (zenon_L739_ : (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> ((op1 (e10) (e11)) = (e11)) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e11) = (op1 (e13) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((e11) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e12))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (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 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (e10)) = (e11)) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e11))) -> (~((h4 (op1 (e12) (e13))) = (op2 (h4 (e12)) (h4 (e13))))) -> ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e22) (e23)) = (e20)) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e13)) = (e23)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((e12) = (e13))) -> False).
% 51.40/51.61 do 0 intro. intros zenon_H2e0 zenon_H104 zenon_H2e1 zenon_H2ba zenon_H2ff zenon_H23 zenon_Hc2 zenon_H19 zenon_H1c zenon_H3d zenon_Hb5 zenon_H2c zenon_Hd3 zenon_Hab zenon_H90 zenon_H35 zenon_H42 zenon_H7d zenon_H54 zenon_Hde zenon_Hcb zenon_Hf3 zenon_Hec zenon_Hf0 zenon_He1 zenon_H12c zenon_H9e zenon_H49 zenon_Hda zenon_H128 zenon_H108 zenon_H131 zenon_Hc8 zenon_Hb8 zenon_Hcf zenon_H8c zenon_H3ec zenon_H13 zenon_H1c9 zenon_H14 zenon_H349 zenon_H15e zenon_H2ea zenon_H2db zenon_H135 zenon_H24 zenon_Hb0 zenon_Hf6 zenon_H10e zenon_H72 zenon_Haf zenon_H117 zenon_H105 zenon_Hfe zenon_H2b zenon_H10b zenon_H125 zenon_H123 zenon_H113 zenon_Hff zenon_Hf8 zenon_H45 zenon_H95 zenon_H65 zenon_Ha2 zenon_Hfb zenon_Hea zenon_H136 zenon_H324 zenon_H4b.
% 51.40/51.61 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ].
% 51.40/51.61 apply (zenon_L7_); trivial.
% 51.40/51.61 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_H34 | zenon_intro zenon_H101 ].
% 51.40/51.61 apply (zenon_L99_); trivial.
% 51.40/51.61 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_H7c | zenon_intro zenon_He8 ].
% 51.40/51.61 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H3c | zenon_intro zenon_H102 ].
% 51.40/51.61 apply (zenon_L317_); trivial.
% 51.40/51.61 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_H46 | zenon_intro zenon_H103 ].
% 51.40/51.61 apply (zenon_L735_); trivial.
% 51.40/51.61 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_He6 | zenon_intro zenon_H4a ].
% 51.40/51.61 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hfc ].
% 51.40/51.61 apply (zenon_L317_); trivial.
% 51.40/51.61 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H41 | zenon_intro zenon_Hfd ].
% 51.40/51.61 apply (zenon_L328_); trivial.
% 51.40/51.61 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_He2 | zenon_intro zenon_H66 ].
% 51.40/51.61 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H33 | zenon_intro zenon_H2e2 ].
% 51.40/51.61 apply (zenon_L74_); trivial.
% 51.40/51.61 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2e3 ].
% 51.40/51.61 apply (zenon_L283_); trivial.
% 51.40/51.61 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H126 | zenon_intro zenon_H50 ].
% 51.40/51.61 apply (zenon_L730_); trivial.
% 51.40/51.61 apply (zenon_or_s _ _ zenon_H324); [ zenon_intro zenon_H22 | zenon_intro zenon_H325 ].
% 51.40/51.61 apply (zenon_L56_); trivial.
% 51.40/51.61 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H126 | zenon_intro zenon_H326 ].
% 51.40/51.61 apply (zenon_L730_); trivial.
% 51.40/51.61 apply (zenon_or_s _ _ zenon_H326); [ zenon_intro zenon_H321 | zenon_intro zenon_Hc1 ].
% 51.40/51.61 apply (zenon_L391_); trivial.
% 51.40/51.61 apply (zenon_L41_); trivial.
% 51.40/51.61 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H33 | zenon_intro zenon_H2e2 ].
% 51.40/51.61 apply (zenon_L83_); trivial.
% 51.40/51.61 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2e3 ].
% 51.40/51.61 apply (zenon_L283_); trivial.
% 51.40/51.61 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H126 | zenon_intro zenon_H50 ].
% 51.40/51.61 apply (zenon_L730_); trivial.
% 51.40/51.61 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hc9 ].
% 51.40/51.61 apply (zenon_L39_); trivial.
% 51.40/51.61 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hca ].
% 51.40/51.61 apply (zenon_L736_); trivial.
% 51.40/51.61 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H8b ].
% 51.40/51.61 apply (zenon_L41_); trivial.
% 51.40/51.61 apply (zenon_L24_); trivial.
% 51.40/51.61 apply (zenon_L335_); trivial.
% 51.40/51.61 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hfc ].
% 51.40/51.61 apply (zenon_L317_); trivial.
% 51.40/51.61 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H41 | zenon_intro zenon_Hfd ].
% 51.40/51.61 apply (zenon_L738_); trivial.
% 51.40/51.61 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_He2 | zenon_intro zenon_H66 ].
% 51.40/51.61 apply (zenon_or_s _ _ zenon_H324); [ zenon_intro zenon_H22 | zenon_intro zenon_H325 ].
% 51.40/51.61 apply (zenon_L109_); trivial.
% 51.40/51.61 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H126 | zenon_intro zenon_H326 ].
% 51.40/51.61 apply (zenon_L730_); trivial.
% 51.40/51.61 apply (zenon_or_s _ _ zenon_H326); [ zenon_intro zenon_H321 | zenon_intro zenon_Hc1 ].
% 51.40/51.61 apply (zenon_L419_); trivial.
% 51.40/51.61 apply (zenon_L41_); trivial.
% 51.40/51.61 apply (zenon_L57_); trivial.
% 51.40/51.61 (* end of lemma zenon_L739_ *)
% 51.40/51.61 assert (zenon_L740_ : (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((e10) = (e11))) -> (~((h4 (op1 (e12) (e13))) = (op2 (h4 (e12)) (h4 (e13))))) -> ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e22) (e23)) = (e20)) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e13)) = (e23)) -> (~((e10) = (e13))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op1 (e13) (e12)) = (e12)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e12) (e10)) = (e11)) -> ((op1 (e13) (e11)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e11) (e13)) = (e10)) -> ((op1 (e13) (e10)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((e11) = (e13))) -> ((e11) = (op1 (e13) (e13))) -> False).
% 51.40/51.61 do 0 intro. intros zenon_Hb5 zenon_H4b zenon_H8c zenon_H3ec zenon_H13 zenon_H1c9 zenon_H14 zenon_H349 zenon_H15e zenon_H2ea zenon_H42 zenon_Hde zenon_H35 zenon_Hab zenon_Hd3 zenon_H2c zenon_H1c zenon_Hda zenon_H90 zenon_Hf1 zenon_He1 zenon_H10e zenon_H10a zenon_Hbe zenon_H65 zenon_H50 zenon_H66 zenon_H95 zenon_H49 zenon_H3d zenon_H19.
% 51.40/51.61 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H4a | zenon_intro zenon_Hb6 ].
% 51.40/51.61 apply (zenon_L15_); trivial.
% 51.40/51.61 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H51 | zenon_intro zenon_Hb7 ].
% 51.40/51.61 apply (zenon_L728_); trivial.
% 51.40/51.61 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb3 ].
% 51.40/51.61 apply (zenon_L423_); trivial.
% 51.40/51.61 apply (zenon_L37_); trivial.
% 51.40/51.61 (* end of lemma zenon_L740_ *)
% 51.40/51.61 assert (zenon_L741_ : (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((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)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((e10) = (e11))) -> (~((h4 (op1 (e12) (e13))) = (op2 (h4 (e12)) (h4 (e13))))) -> ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e22) (e23)) = (e20)) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e13)) = (e23)) -> (~((e10) = (e13))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e12) (e10)) = (e11)) -> ((op1 (e13) (e11)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e11) (e13)) = (e10)) -> ((op1 (e13) (e10)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> ((e11) = (op1 (e13) (e13))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> False).
% 51.40/51.61 do 0 intro. intros zenon_H327 zenon_Hc2 zenon_Hb8 zenon_Hc8 zenon_Hd3 zenon_Hab zenon_Hb5 zenon_H4b zenon_H8c zenon_H3ec zenon_H13 zenon_H1c9 zenon_H14 zenon_H349 zenon_H15e zenon_H2ea zenon_H42 zenon_Hde zenon_H35 zenon_H90 zenon_He1 zenon_H10e zenon_H10a zenon_Hbe zenon_H65 zenon_H50 zenon_H66 zenon_H95 zenon_H3d zenon_H19 zenon_H2c zenon_H1c zenon_Hda.
% 51.40/51.61 apply (zenon_or_s _ _ zenon_H327); [ zenon_intro zenon_He8 | zenon_intro zenon_H328 ].
% 51.40/51.61 apply (zenon_L57_); trivial.
% 51.40/51.61 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H2de | zenon_intro zenon_H329 ].
% 51.40/51.61 apply (zenon_L309_); trivial.
% 51.40/51.61 apply (zenon_or_s _ _ zenon_H329); [ zenon_intro zenon_Hf1 | zenon_intro zenon_Hd9 ].
% 51.40/51.61 apply (zenon_or_s _ _ zenon_Hde); [ zenon_intro zenon_H49 | zenon_intro zenon_Hdf ].
% 51.40/51.61 apply (zenon_L740_); trivial.
% 51.40/51.61 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_Haa | zenon_intro zenon_He0 ].
% 51.40/51.61 apply (zenon_L34_); trivial.
% 51.40/51.61 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hd2 | zenon_intro zenon_Hd9 ].
% 51.40/51.61 apply (zenon_L45_); trivial.
% 51.40/51.61 apply (zenon_L46_); trivial.
% 51.40/51.61 apply (zenon_L46_); trivial.
% 51.40/51.61 (* end of lemma zenon_L741_ *)
% 51.40/51.61 assert (zenon_L742_ : (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e11) (e12)) = (e13)) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> ((op1 (e12) (e13)) = (e13)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e11) (e13)) = (e10)) -> ((op1 (e13) (e10)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> False).
% 51.40/51.61 do 0 intro. intros zenon_Hde zenon_Ha3 zenon_H19 zenon_Ha2 zenon_H96 zenon_H9e zenon_H65 zenon_H50 zenon_H66 zenon_H95 zenon_Hab zenon_Hd3 zenon_H2c zenon_H1c zenon_Hda.
% 51.40/51.61 apply (zenon_or_s _ _ zenon_Hde); [ zenon_intro zenon_H49 | zenon_intro zenon_Hdf ].
% 51.40/51.61 apply (zenon_L32_); trivial.
% 51.40/51.61 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_Haa | zenon_intro zenon_He0 ].
% 51.40/51.61 apply (zenon_L34_); trivial.
% 51.40/51.61 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hd2 | zenon_intro zenon_Hd9 ].
% 51.40/51.61 apply (zenon_L45_); trivial.
% 51.40/51.61 apply (zenon_L46_); trivial.
% 51.40/51.61 (* end of lemma zenon_L742_ *)
% 51.40/51.61 assert (zenon_L743_ : (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e13) (e11)) = (e10)) -> ((op1 (e12) (e12)) = (e10)) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e10) (e13)) = (e12)) -> ((op1 (e12) (e10)) = (e12)) -> ((op1 (e11) (e11)) = (e12)) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> ((op1 (e12) (e13)) = (e13)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e11) (e13)) = (e10)) -> ((op1 (e13) (e10)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> False).
% 51.40/51.61 do 0 intro. intros zenon_H131 zenon_H12c zenon_Hbe zenon_H321 zenon_H11a zenon_H125 zenon_H49 zenon_H7c zenon_H2c6 zenon_Hde zenon_H19 zenon_Ha2 zenon_H96 zenon_H9e zenon_H65 zenon_H50 zenon_H66 zenon_H95 zenon_Hab zenon_Hd3 zenon_H2c zenon_H1c zenon_Hda.
% 51.40/51.61 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_H126 | zenon_intro zenon_H132 ].
% 51.40/51.61 apply (zenon_L387_); trivial.
% 51.40/51.61 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_H129 | zenon_intro zenon_H133 ].
% 51.40/51.61 apply (zenon_L482_); trivial.
% 51.40/51.61 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H12b | zenon_intro zenon_Ha3 ].
% 51.40/51.61 apply (zenon_L331_); trivial.
% 51.40/51.61 apply (zenon_L742_); trivial.
% 51.40/51.61 (* end of lemma zenon_L743_ *)
% 51.40/51.61 assert (zenon_L744_ : (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((e10) = (e11))) -> (~((h4 (op1 (e12) (e13))) = (op2 (h4 (e12)) (h4 (e13))))) -> ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e22) (e23)) = (e20)) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e13)) = (e23)) -> (~((e10) = (e13))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (e13) (e10)) = (e13)) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e11) (e11)) = (e12)) -> ((op1 (e12) (e10)) = (e12)) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e10) (e12)) = (e11)) -> ((op1 (e12) (e12)) = (e10)) -> ((op1 (e13) (e11)) = (e10)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((e11) = (e13))) -> ((e11) = (op1 (e13) (e13))) -> False).
% 51.40/51.61 do 0 intro. intros zenon_Hb5 zenon_H4b zenon_H8c zenon_H3ec zenon_H13 zenon_H1c9 zenon_H14 zenon_H349 zenon_H15e zenon_H2ea zenon_H42 zenon_H35 zenon_H90 zenon_Hda zenon_H1c zenon_H2c zenon_Hd3 zenon_Hab zenon_H95 zenon_H66 zenon_H50 zenon_H65 zenon_H9e zenon_Ha2 zenon_Hde zenon_H2c6 zenon_H7c zenon_H49 zenon_H125 zenon_H11a zenon_H321 zenon_Hbe zenon_H12c zenon_H131 zenon_H3d zenon_H19.
% 51.40/51.61 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H4a | zenon_intro zenon_Hb6 ].
% 51.40/51.61 apply (zenon_L15_); trivial.
% 51.40/51.61 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H51 | zenon_intro zenon_Hb7 ].
% 51.40/51.61 apply (zenon_L728_); trivial.
% 51.40/51.61 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb3 ].
% 51.40/51.61 apply (zenon_L743_); trivial.
% 51.40/51.61 apply (zenon_L37_); trivial.
% 51.40/51.61 (* end of lemma zenon_L744_ *)
% 51.40/51.61 assert (zenon_L745_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e12) (e12)) = (e10)) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e12) (e10)) = (e12)) -> ((op1 (e11) (e11)) = (e12)) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e12))) -> ((h4 (e13)) = (e23)) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e22) (e23)) = (e20)) -> ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) -> (~((h4 (op1 (e12) (e13))) = (op2 (h4 (e12)) (h4 (e13))))) -> (~((e10) = (e11))) -> ((op1 (e13) (e11)) = (e10)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e10)) = (e13)) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e13))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e11) = (e13))) -> ((e11) = (op1 (e13) (e13))) -> False).
% 51.40/51.61 do 0 intro. intros zenon_Hcf zenon_H131 zenon_H12c zenon_H321 zenon_H11a zenon_H125 zenon_H7c zenon_H2c6 zenon_Hde zenon_Ha2 zenon_H65 zenon_H95 zenon_Hab zenon_Hd3 zenon_H2c zenon_H1c zenon_H90 zenon_H35 zenon_H2ea zenon_H15e zenon_H349 zenon_H14 zenon_H1c9 zenon_H13 zenon_H3ec zenon_H8c zenon_Hbe zenon_He1 zenon_H41 zenon_H50 zenon_Hea zenon_H9e zenon_H49 zenon_Hda zenon_H42 zenon_H4b zenon_Hb5 zenon_H3d zenon_H19.
% 51.40/51.61 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H66 | zenon_intro zenon_Hd0 ].
% 51.40/51.61 apply (zenon_L744_); trivial.
% 51.40/51.61 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hd1 ].
% 51.40/51.61 apply (zenon_L40_); trivial.
% 51.40/51.61 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hb3 ].
% 51.40/51.61 apply (zenon_L93_); trivial.
% 51.40/51.61 apply (zenon_L37_); trivial.
% 51.40/51.61 (* end of lemma zenon_L745_ *)
% 51.40/51.61 assert (zenon_L746_ : (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((e11) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e11) (e13)) = (e10)) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e11)) = (e10)) -> (~((e10) = (e11))) -> (~((h4 (op1 (e12) (e13))) = (op2 (h4 (e12)) (h4 (e13))))) -> ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e22) (e23)) = (e20)) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e13)) = (e23)) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e11) (e11)) = (e12)) -> ((op1 (e12) (e10)) = (e12)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False).
% 51.40/51.62 do 0 intro. intros zenon_H324 zenon_Hb8 zenon_H136 zenon_Hc8 zenon_Hfb zenon_H45 zenon_Hf8 zenon_Hff zenon_H113 zenon_H123 zenon_H128 zenon_Hf3 zenon_Hec zenon_Hf0 zenon_Hcb zenon_H10b zenon_H2b zenon_Hfe zenon_H105 zenon_H117 zenon_Haf zenon_H72 zenon_H7d zenon_H10e zenon_H54 zenon_Hf6 zenon_Hb0 zenon_H24 zenon_H135 zenon_H2db zenon_H3d zenon_Hb5 zenon_H4b zenon_H42 zenon_Hda zenon_H49 zenon_H9e zenon_Hea zenon_H50 zenon_H41 zenon_He1 zenon_Hbe zenon_H8c zenon_H3ec zenon_H13 zenon_H1c9 zenon_H14 zenon_H349 zenon_H15e zenon_H2ea zenon_H35 zenon_H90 zenon_H2c zenon_Hd3 zenon_Hab zenon_H95 zenon_H65 zenon_Ha2 zenon_Hde zenon_H2c6 zenon_H7c zenon_H125 zenon_H11a zenon_H12c zenon_H131 zenon_Hcf zenon_H1c zenon_H19 zenon_Hc2.
% 51.40/51.62 apply (zenon_or_s _ _ zenon_H324); [ zenon_intro zenon_H22 | zenon_intro zenon_H325 ].
% 51.40/51.62 apply (zenon_L109_); trivial.
% 51.40/51.62 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H126 | zenon_intro zenon_H326 ].
% 51.40/51.62 apply (zenon_L303_); trivial.
% 51.40/51.62 apply (zenon_or_s _ _ zenon_H326); [ zenon_intro zenon_H321 | zenon_intro zenon_Hc1 ].
% 51.40/51.62 apply (zenon_L745_); trivial.
% 51.40/51.62 apply (zenon_L41_); trivial.
% 51.40/51.62 (* end of lemma zenon_L746_ *)
% 51.40/51.62 assert (zenon_L747_ : (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((e10) = (e13))) -> ((op1 (e11) (e13)) = (e10)) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((e11) = (op1 (e13) (e13))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((op1 (e10) (e11)) = (e13)) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (~((h4 (op1 (e12) (e13))) = (op2 (h4 (e12)) (h4 (e13))))) -> ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e22) (e23)) = (e20)) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e13)) = (e23)) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e10) = (e12))) -> ((op1 (e13) (e11)) = (e10)) -> ((op1 (e10) (e13)) = (e12)) -> ((op1 (e12) (e10)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> False).
% 51.40/51.62 do 0 intro. intros zenon_H341 zenon_H2c9 zenon_H2c5 zenon_H42 zenon_H50 zenon_Hde zenon_H19 zenon_H3d zenon_Hcb zenon_Hb5 zenon_H4b zenon_H9e zenon_H65 zenon_H95 zenon_Hcf zenon_Hd3 zenon_Hda zenon_H45 zenon_H46 zenon_H324 zenon_Hb8 zenon_H136 zenon_Hc8 zenon_Hfb zenon_Hf8 zenon_Hff zenon_H113 zenon_H123 zenon_H128 zenon_Hf3 zenon_Hec zenon_Hf0 zenon_H10b zenon_H2b zenon_Hfe zenon_H105 zenon_H117 zenon_Haf zenon_H72 zenon_H7d zenon_H10e zenon_H54 zenon_Hf6 zenon_Hb0 zenon_H24 zenon_H135 zenon_H2db zenon_Hea zenon_He1 zenon_H8c zenon_H3ec zenon_H13 zenon_H1c9 zenon_H14 zenon_H349 zenon_H15e zenon_H2ea zenon_H90 zenon_H125 zenon_H11a zenon_H12c zenon_H131 zenon_Hc2 zenon_H35 zenon_Hbe zenon_H49 zenon_H7c zenon_H2ff zenon_Ha2 zenon_H2ba zenon_H2e1 zenon_H2c zenon_H1c zenon_Hab.
% 51.40/51.62 apply (zenon_or_s _ _ zenon_H341); [ zenon_intro zenon_H34 | zenon_intro zenon_H342 ].
% 51.40/51.62 apply (zenon_L591_); trivial.
% 51.40/51.62 apply (zenon_or_s _ _ zenon_H342); [ zenon_intro zenon_H2c6 | zenon_intro zenon_H343 ].
% 51.40/51.62 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H41 | zenon_intro zenon_Hf9 ].
% 51.40/51.62 apply (zenon_L746_); trivial.
% 51.40/51.62 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H47 | zenon_intro zenon_Hfa ].
% 51.40/51.62 apply (zenon_L13_); trivial.
% 51.40/51.62 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H51 ].
% 51.40/51.62 apply (zenon_L287_); trivial.
% 51.40/51.62 apply (zenon_L17_); trivial.
% 51.40/51.62 apply (zenon_or_s _ _ zenon_H343); [ zenon_intro zenon_H12b | zenon_intro zenon_Haa ].
% 51.40/51.62 apply (zenon_L371_); trivial.
% 51.40/51.62 apply (zenon_L34_); trivial.
% 51.40/51.62 (* end of lemma zenon_L747_ *)
% 51.40/51.62 assert (zenon_L748_ : (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((op1 (e12) (e10)) = (e12)) -> ((op1 (e13) (e11)) = (e10)) -> (~((e10) = (e12))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((h4 (e13)) = (e23)) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e22) (e23)) = (e20)) -> ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) -> (~((h4 (op1 (e12) (e13))) = (op2 (h4 (e12)) (h4 (e13))))) -> (~((e10) = (e11))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((e11) = (e12))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e13))) -> ((e11) = (op1 (e13) (e13))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e11) (e13)) = (e10)) -> (~((e10) = (e13))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> False).
% 51.40/51.62 do 0 intro. intros zenon_H2e1 zenon_H2ba zenon_Ha2 zenon_H2ff zenon_H7c zenon_Hbe zenon_H35 zenon_Hc2 zenon_H131 zenon_H12c zenon_H11a zenon_H125 zenon_H90 zenon_H2ea zenon_H15e zenon_H349 zenon_H14 zenon_H1c9 zenon_H13 zenon_H3ec zenon_H8c zenon_He1 zenon_Hea zenon_H2db zenon_H135 zenon_H24 zenon_Hb0 zenon_Hf6 zenon_H54 zenon_H10e zenon_H7d zenon_H72 zenon_Haf zenon_H117 zenon_H105 zenon_Hfe zenon_H2b zenon_H10b zenon_Hf0 zenon_Hec zenon_Hf3 zenon_H128 zenon_H123 zenon_H113 zenon_Hff zenon_Hf8 zenon_Hfb zenon_Hc8 zenon_H136 zenon_Hb8 zenon_H324 zenon_H46 zenon_H45 zenon_Hcf zenon_H95 zenon_H65 zenon_H9e zenon_H4b zenon_Hb5 zenon_Hcb zenon_H3d zenon_H19 zenon_Hde zenon_H50 zenon_H42 zenon_H2c5 zenon_H2c9 zenon_H341 zenon_Hab zenon_Hd3 zenon_H2c zenon_H1c zenon_Hda.
% 51.40/51.62 apply (zenon_or_s _ _ zenon_Hde); [ zenon_intro zenon_H49 | zenon_intro zenon_Hdf ].
% 51.40/51.62 apply (zenon_L747_); trivial.
% 51.40/51.62 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_Haa | zenon_intro zenon_He0 ].
% 51.40/51.62 apply (zenon_L34_); trivial.
% 51.40/51.62 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hd2 | zenon_intro zenon_Hd9 ].
% 51.40/51.62 apply (zenon_L45_); trivial.
% 51.40/51.62 apply (zenon_L46_); trivial.
% 51.40/51.62 (* end of lemma zenon_L748_ *)
% 51.40/51.62 assert (zenon_L749_ : (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e13))) -> ((op1 (e11) (e13)) = (e10)) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e10)) = (e12)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((op1 (e10) (e11)) = (e13)) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e11) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e11))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> False).
% 51.40/51.62 do 0 intro. intros zenon_Hde zenon_H42 zenon_H50 zenon_Hf3 zenon_Hc2 zenon_H19 zenon_Hec zenon_He8 zenon_Hf0 zenon_Hcb zenon_H45 zenon_H46 zenon_Hc8 zenon_Hb8 zenon_H3d zenon_Hb5 zenon_H4b zenon_H9e zenon_Hea zenon_He1 zenon_Hcf zenon_H8c zenon_Hf8 zenon_Hab zenon_Hd3 zenon_H2c zenon_H1c zenon_Hda.
% 51.40/51.62 apply (zenon_or_s _ _ zenon_Hde); [ zenon_intro zenon_H49 | zenon_intro zenon_Hdf ].
% 51.40/51.62 apply (zenon_L627_); trivial.
% 51.40/51.62 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_Haa | zenon_intro zenon_He0 ].
% 51.40/51.62 apply (zenon_L34_); trivial.
% 51.40/51.62 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hd2 | zenon_intro zenon_Hd9 ].
% 51.40/51.62 apply (zenon_L45_); trivial.
% 51.40/51.62 apply (zenon_L46_); trivial.
% 51.40/51.62 (* end of lemma zenon_L749_ *)
% 51.40/51.62 assert (zenon_L750_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> ((h4 (e13)) = (e23)) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e22) (e23)) = (e20)) -> ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) -> (~((h4 (op1 (e12) (e13))) = (op2 (h4 (e12)) (h4 (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (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)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e13))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> False).
% 51.40/51.62 do 0 intro. intros zenon_H13b zenon_H2db zenon_H2e0 zenon_H2ff zenon_H324 zenon_H341 zenon_H2d4 zenon_H2ea zenon_H15e zenon_H349 zenon_H14 zenon_H1c9 zenon_H13 zenon_H3ec zenon_H2c9 zenon_H2c5 zenon_H2ba zenon_H2e1 zenon_H327 zenon_H1b zenon_H19 zenon_Hb8 zenon_H136 zenon_Hc8 zenon_Hea zenon_Hcf zenon_Hfb zenon_Ha2 zenon_H65 zenon_H95 zenon_H45 zenon_Hf8 zenon_Hff zenon_H113 zenon_H123 zenon_H131 zenon_H125 zenon_H128 zenon_H3d zenon_He1 zenon_H12c zenon_H9e zenon_H42 zenon_H4b zenon_Hb5 zenon_Hf3 zenon_Hc2 zenon_Hec zenon_Hf0 zenon_Hcb zenon_H90 zenon_H10b zenon_H2b zenon_Hfe zenon_H105 zenon_H117 zenon_H8c zenon_Haf zenon_H72 zenon_H7d zenon_H10e zenon_H54 zenon_Hf6 zenon_Hb0 zenon_H24 zenon_H135 zenon_Hde zenon_H35 zenon_Hab zenon_Hd3 zenon_H2c zenon_H1c zenon_Hda.
% 51.40/51.62 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H23 | zenon_intro zenon_H13e ].
% 51.40/51.62 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H3b | zenon_intro zenon_H139 ].
% 51.40/51.62 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H33 | zenon_intro zenon_H2e2 ].
% 51.40/51.62 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H41 | zenon_intro zenon_Hf9 ].
% 51.40/51.62 apply (zenon_L12_); trivial.
% 51.40/51.62 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H47 | zenon_intro zenon_Hfa ].
% 51.40/51.62 apply (zenon_L299_); trivial.
% 51.40/51.62 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H51 ].
% 51.40/51.62 apply (zenon_L727_); trivial.
% 51.40/51.62 apply (zenon_L728_); trivial.
% 51.40/51.62 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2e3 ].
% 51.40/51.62 apply (zenon_L283_); trivial.
% 51.40/51.62 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H126 | zenon_intro zenon_H50 ].
% 51.40/51.62 apply (zenon_L730_); trivial.
% 51.40/51.62 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H41 | zenon_intro zenon_Hf9 ].
% 51.40/51.62 apply (zenon_L734_); trivial.
% 51.40/51.62 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H47 | zenon_intro zenon_Hfa ].
% 51.40/51.62 apply (zenon_L299_); trivial.
% 51.40/51.62 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H51 ].
% 51.40/51.62 apply (zenon_L727_); trivial.
% 51.40/51.62 apply (zenon_L728_); trivial.
% 51.40/51.62 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H104 | zenon_intro zenon_H13a ].
% 51.40/51.62 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H3b | zenon_intro zenon_H118 ].
% 51.40/51.62 apply (zenon_L73_); trivial.
% 51.40/51.62 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H108 | zenon_intro zenon_H119 ].
% 51.40/51.62 apply (zenon_or_s _ _ zenon_Hde); [ zenon_intro zenon_H49 | zenon_intro zenon_Hdf ].
% 51.40/51.62 apply (zenon_L739_); trivial.
% 51.40/51.62 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_Haa | zenon_intro zenon_He0 ].
% 51.40/51.62 apply (zenon_L34_); trivial.
% 51.40/51.62 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hd2 | zenon_intro zenon_Hd9 ].
% 51.40/51.62 apply (zenon_L45_); trivial.
% 51.40/51.62 apply (zenon_L46_); trivial.
% 51.40/51.62 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H10a | zenon_intro zenon_H114 ].
% 51.40/51.62 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ].
% 51.40/51.62 apply (zenon_L7_); trivial.
% 51.40/51.62 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_H34 | zenon_intro zenon_H101 ].
% 51.40/51.62 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hfc ].
% 51.40/51.62 apply (zenon_L317_); trivial.
% 51.40/51.62 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H41 | zenon_intro zenon_Hfd ].
% 51.40/51.62 apply (zenon_L86_); trivial.
% 51.40/51.62 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_He2 | zenon_intro zenon_H66 ].
% 51.40/51.62 apply (zenon_L421_); trivial.
% 51.40/51.62 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H33 | zenon_intro zenon_H2e2 ].
% 51.40/51.62 apply (zenon_L81_); trivial.
% 51.40/51.62 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2e3 ].
% 51.40/51.62 apply (zenon_L283_); trivial.
% 51.40/51.62 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H126 | zenon_intro zenon_H50 ].
% 51.40/51.62 apply (zenon_L730_); trivial.
% 51.40/51.62 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hc9 ].
% 51.40/51.62 apply (zenon_L39_); trivial.
% 51.40/51.62 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hca ].
% 51.40/51.62 apply (zenon_L741_); trivial.
% 51.40/51.62 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H8b ].
% 51.40/51.62 apply (zenon_L41_); trivial.
% 51.40/51.62 apply (zenon_L24_); trivial.
% 51.40/51.62 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_H7c | zenon_intro zenon_He8 ].
% 51.40/51.62 apply (zenon_L75_); trivial.
% 51.40/51.62 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hfc ].
% 51.40/51.62 apply (zenon_L317_); trivial.
% 51.40/51.62 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H41 | zenon_intro zenon_Hfd ].
% 51.40/51.62 apply (zenon_L731_); trivial.
% 51.40/51.62 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_He2 | zenon_intro zenon_H66 ].
% 51.40/51.62 apply (zenon_L421_); trivial.
% 51.40/51.62 apply (zenon_L57_); trivial.
% 51.40/51.62 apply (zenon_L82_); trivial.
% 51.40/51.62 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H11a | zenon_intro zenon_H11c ].
% 51.40/51.62 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H3b | zenon_intro zenon_H118 ].
% 51.40/51.62 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ].
% 51.40/51.62 apply (zenon_L7_); trivial.
% 51.40/51.62 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_H34 | zenon_intro zenon_H101 ].
% 51.40/51.62 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H41 | zenon_intro zenon_Hf9 ].
% 51.40/51.62 apply (zenon_L86_); trivial.
% 51.40/51.62 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H47 | zenon_intro zenon_Hfa ].
% 51.40/51.62 apply (zenon_L299_); trivial.
% 51.40/51.62 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H51 ].
% 51.40/51.62 apply (zenon_L727_); trivial.
% 51.40/51.62 apply (zenon_L728_); trivial.
% 51.40/51.62 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_H7c | zenon_intro zenon_He8 ].
% 51.40/51.62 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H3c | zenon_intro zenon_H102 ].
% 51.40/51.62 apply (zenon_L11_); trivial.
% 51.40/51.62 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_H46 | zenon_intro zenon_H103 ].
% 51.40/51.62 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H33 | zenon_intro zenon_H2e2 ].
% 51.40/51.62 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H41 | zenon_intro zenon_Hf9 ].
% 51.40/51.62 apply (zenon_L12_); trivial.
% 51.40/51.62 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H47 | zenon_intro zenon_Hfa ].
% 51.40/51.62 apply (zenon_L13_); trivial.
% 51.40/51.62 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H51 ].
% 51.40/51.62 apply (zenon_L727_); trivial.
% 51.40/51.62 apply (zenon_L728_); trivial.
% 51.40/51.62 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2e3 ].
% 51.40/51.62 apply (zenon_L283_); trivial.
% 51.40/51.62 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H126 | zenon_intro zenon_H50 ].
% 51.40/51.62 apply (zenon_L730_); trivial.
% 51.40/51.62 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hc9 ].
% 51.40/51.62 apply (zenon_L39_); trivial.
% 51.40/51.62 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hca ].
% 51.40/51.62 apply (zenon_L748_); trivial.
% 51.40/51.62 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H8b ].
% 51.40/51.62 apply (zenon_L41_); trivial.
% 51.40/51.62 apply (zenon_L24_); trivial.
% 51.40/51.62 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_He6 | zenon_intro zenon_H4a ].
% 51.40/51.62 apply (zenon_L427_); trivial.
% 51.40/51.62 apply (zenon_L335_); trivial.
% 51.40/51.62 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H3c | zenon_intro zenon_H102 ].
% 51.40/51.62 apply (zenon_L317_); trivial.
% 51.40/51.62 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_H46 | zenon_intro zenon_H103 ].
% 51.40/51.62 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hfc ].
% 51.40/51.62 apply (zenon_L317_); trivial.
% 51.40/51.62 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H41 | zenon_intro zenon_Hfd ].
% 51.40/51.62 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H33 | zenon_intro zenon_H2e2 ].
% 51.40/51.62 apply (zenon_L12_); trivial.
% 51.40/51.62 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2e3 ].
% 51.40/51.62 apply (zenon_L283_); trivial.
% 51.40/51.62 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H126 | zenon_intro zenon_H50 ].
% 51.40/51.62 apply (zenon_L730_); trivial.
% 51.40/51.62 apply (zenon_L749_); trivial.
% 51.40/51.62 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_He2 | zenon_intro zenon_H66 ].
% 51.40/51.62 apply (zenon_L352_); trivial.
% 51.40/51.62 apply (zenon_L57_); trivial.
% 51.40/51.62 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_He6 | zenon_intro zenon_H4a ].
% 51.40/51.62 apply (zenon_L427_); trivial.
% 51.40/51.62 apply (zenon_L335_); trivial.
% 51.40/51.62 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H108 | zenon_intro zenon_H119 ].
% 51.40/51.62 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H3c | zenon_intro zenon_H102 ].
% 51.40/51.62 apply (zenon_L317_); trivial.
% 51.40/51.62 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_H46 | zenon_intro zenon_H103 ].
% 51.40/51.62 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H41 | zenon_intro zenon_Hf9 ].
% 51.40/51.62 apply (zenon_L328_); trivial.
% 51.40/51.62 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H47 | zenon_intro zenon_Hfa ].
% 51.40/51.62 apply (zenon_L13_); trivial.
% 51.40/51.62 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H51 ].
% 51.40/51.62 apply (zenon_L727_); trivial.
% 51.40/51.62 apply (zenon_L728_); trivial.
% 51.40/51.62 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_He6 | zenon_intro zenon_H4a ].
% 51.40/51.62 apply (zenon_L427_); trivial.
% 51.40/51.62 apply (zenon_L335_); trivial.
% 51.40/51.62 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H10a | zenon_intro zenon_H114 ].
% 51.40/51.62 apply (zenon_L512_); trivial.
% 51.40/51.62 apply (zenon_L82_); trivial.
% 51.40/51.62 apply (zenon_L85_); trivial.
% 51.40/51.62 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H1d | zenon_intro zenon_H14b ].
% 51.40/51.62 apply (zenon_L4_); trivial.
% 51.40/51.62 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H22 | zenon_intro zenon_H4e ].
% 51.40/51.62 apply (zenon_L109_); trivial.
% 51.40/51.62 apply (zenon_L47_); trivial.
% 51.40/51.62 (* end of lemma zenon_L750_ *)
% 51.40/51.62 assert (zenon_L751_ : (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e20) = (e22))) -> ((op2 (e20) (e23)) = (e22)) -> (~((e21) = (e23))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e22) (e20)) = (e23)) -> (~((e20) = (e23))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e22) = (e23))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((e10) = (e11))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((e11) = (e12))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((e10) = (e13))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e13))) -> (~((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 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((h4 (op1 (e12) (e13))) = (op2 (h4 (e12)) (h4 (e13))))) -> ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e13)) = (e23)) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> ((e21) = (op2 (e23) (e23))) -> (~((e20) = (e21))) -> False).
% 51.40/51.62 do 0 intro. intros zenon_H22f zenon_H16f zenon_H175 zenon_H1f7 zenon_H254 zenon_H252 zenon_H205 zenon_H19b zenon_H1ac zenon_H187 zenon_H18e zenon_H195 zenon_H1fa zenon_Hda zenon_H1c zenon_H2c zenon_Hd3 zenon_Hab zenon_H35 zenon_Hde zenon_H135 zenon_H24 zenon_Hb0 zenon_Hf6 zenon_H54 zenon_H10e zenon_H7d zenon_H72 zenon_Haf zenon_H8c zenon_H117 zenon_H105 zenon_Hfe zenon_H2b zenon_H10b zenon_H90 zenon_Hcb zenon_Hf0 zenon_Hec zenon_Hc2 zenon_Hf3 zenon_Hb5 zenon_H4b zenon_H42 zenon_H9e zenon_H12c zenon_He1 zenon_H3d zenon_H128 zenon_H125 zenon_H131 zenon_H123 zenon_H113 zenon_Hff zenon_Hf8 zenon_H45 zenon_H95 zenon_H65 zenon_Ha2 zenon_Hfb zenon_Hcf zenon_Hea zenon_Hc8 zenon_H136 zenon_Hb8 zenon_H19 zenon_H1b zenon_H327 zenon_H2e1 zenon_H2ba zenon_H2c5 zenon_H2c9 zenon_H3ec zenon_H13 zenon_H14 zenon_H349 zenon_H15e zenon_H2ea zenon_H2d4 zenon_H341 zenon_H324 zenon_H2ff zenon_H2e0 zenon_H2db zenon_H13b zenon_H14e zenon_H210.
% 51.40/51.62 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H235 ].
% 51.40/51.62 apply (zenon_L129_); trivial.
% 51.40/51.62 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H1a8 | zenon_intro zenon_H236 ].
% 51.40/51.62 apply (zenon_L515_); trivial.
% 51.40/51.62 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1c9 | zenon_intro zenon_H20f ].
% 51.40/51.62 apply (zenon_L750_); trivial.
% 51.40/51.62 apply (zenon_L154_); trivial.
% 51.40/51.62 (* end of lemma zenon_L751_ *)
% 51.40/51.62 assert (zenon_L752_ : (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((e20) = (e22))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e21) = (e23))) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e23) (e20)) = (e23)) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((e20) = (e23))) -> (~((e22) = (e23))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((e10) = (e11))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((e11) = (e12))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((e10) = (e13))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e13))) -> (~((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 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((h4 (op1 (e12) (e13))) = (op2 (h4 (e12)) (h4 (e13))))) -> ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e13)) = (e23)) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> ((e21) = (op2 (e23) (e23))) -> (~((e20) = (e21))) -> False).
% 51.40/51.62 do 0 intro. intros zenon_H22f zenon_H195 zenon_H18e zenon_H187 zenon_H16f zenon_H19b zenon_H1f7 zenon_H175 zenon_H1e6 zenon_H1cd zenon_H1cc zenon_H1ec zenon_H244 zenon_H245 zenon_H205 zenon_H1ac zenon_H1fa zenon_Hda zenon_H1c zenon_H2c zenon_Hd3 zenon_Hab zenon_H35 zenon_Hde zenon_H135 zenon_H24 zenon_Hb0 zenon_Hf6 zenon_H54 zenon_H10e zenon_H7d zenon_H72 zenon_Haf zenon_H8c zenon_H117 zenon_H105 zenon_Hfe zenon_H2b zenon_H10b zenon_H90 zenon_Hcb zenon_Hf0 zenon_Hec zenon_Hc2 zenon_Hf3 zenon_Hb5 zenon_H4b zenon_H42 zenon_H9e zenon_H12c zenon_He1 zenon_H3d zenon_H128 zenon_H125 zenon_H131 zenon_H123 zenon_H113 zenon_Hff zenon_Hf8 zenon_H45 zenon_H95 zenon_H65 zenon_Ha2 zenon_Hfb zenon_Hcf zenon_Hea zenon_Hc8 zenon_H136 zenon_Hb8 zenon_H19 zenon_H1b zenon_H327 zenon_H2e1 zenon_H2ba zenon_H2c5 zenon_H2c9 zenon_H3ec zenon_H13 zenon_H14 zenon_H349 zenon_H15e zenon_H2ea zenon_H2d4 zenon_H341 zenon_H324 zenon_H2ff zenon_H2e0 zenon_H2db zenon_H13b zenon_H14e zenon_H210.
% 51.40/51.62 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H235 ].
% 51.40/51.62 apply (zenon_L183_); trivial.
% 51.40/51.62 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H1a8 | zenon_intro zenon_H236 ].
% 51.40/51.62 apply (zenon_L243_); trivial.
% 51.40/51.62 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1c9 | zenon_intro zenon_H20f ].
% 51.40/51.62 apply (zenon_L750_); trivial.
% 51.40/51.62 apply (zenon_L154_); trivial.
% 51.40/51.62 (* end of lemma zenon_L752_ *)
% 51.40/51.62 assert (zenon_L753_ : (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e20) = (e22))) -> ((op2 (e20) (e23)) = (e22)) -> ((op2 (e21) (e20)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((e10) = (e11))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((e11) = (e12))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((e10) = (e13))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e13))) -> (~((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 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((h4 (op1 (e12) (e13))) = (op2 (h4 (e12)) (h4 (e13))))) -> ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e13)) = (e23)) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> ((e21) = (op2 (e23) (e23))) -> (~((e20) = (e21))) -> False).
% 51.40/51.62 do 0 intro. intros zenon_H22f zenon_H16f zenon_H175 zenon_H16d zenon_H1a7 zenon_Hda zenon_H1c zenon_H2c zenon_Hd3 zenon_Hab zenon_H35 zenon_Hde zenon_H135 zenon_H24 zenon_Hb0 zenon_Hf6 zenon_H54 zenon_H10e zenon_H7d zenon_H72 zenon_Haf zenon_H8c zenon_H117 zenon_H105 zenon_Hfe zenon_H2b zenon_H10b zenon_H90 zenon_Hcb zenon_Hf0 zenon_Hec zenon_Hc2 zenon_Hf3 zenon_Hb5 zenon_H4b zenon_H42 zenon_H9e zenon_H12c zenon_He1 zenon_H3d zenon_H128 zenon_H125 zenon_H131 zenon_H123 zenon_H113 zenon_Hff zenon_Hf8 zenon_H45 zenon_H95 zenon_H65 zenon_Ha2 zenon_Hfb zenon_Hcf zenon_Hea zenon_Hc8 zenon_H136 zenon_Hb8 zenon_H19 zenon_H1b zenon_H327 zenon_H2e1 zenon_H2ba zenon_H2c5 zenon_H2c9 zenon_H3ec zenon_H13 zenon_H14 zenon_H349 zenon_H15e zenon_H2ea zenon_H2d4 zenon_H341 zenon_H324 zenon_H2ff zenon_H2e0 zenon_H2db zenon_H13b zenon_H14e zenon_H210.
% 51.40/51.62 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H235 ].
% 51.40/51.62 apply (zenon_L129_); trivial.
% 51.40/51.62 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H1a8 | zenon_intro zenon_H236 ].
% 51.40/51.62 apply (zenon_L130_); trivial.
% 51.40/51.62 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1c9 | zenon_intro zenon_H20f ].
% 51.40/51.62 apply (zenon_L750_); trivial.
% 51.40/51.62 apply (zenon_L154_); trivial.
% 51.40/51.62 (* end of lemma zenon_L753_ *)
% 51.40/51.62 assert (zenon_L754_ : (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e20) = (e22))) -> ((op2 (e21) (e20)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((e10) = (e11))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((e11) = (e12))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((e10) = (e13))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e13))) -> (~((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 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((h4 (op1 (e12) (e13))) = (op2 (h4 (e12)) (h4 (e13))))) -> ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e13)) = (e23)) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> ((e21) = (op2 (e23) (e23))) -> (~((e20) = (e21))) -> False).
% 51.40/51.62 do 0 intro. intros zenon_H28d zenon_H15d zenon_H164 zenon_H168 zenon_H22f zenon_H16f zenon_H16d zenon_H1a7 zenon_Hda zenon_H1c zenon_H2c zenon_Hd3 zenon_Hab zenon_H35 zenon_Hde zenon_H135 zenon_H24 zenon_Hb0 zenon_Hf6 zenon_H54 zenon_H10e zenon_H7d zenon_H72 zenon_Haf zenon_H8c zenon_H117 zenon_H105 zenon_Hfe zenon_H2b zenon_H10b zenon_H90 zenon_Hcb zenon_Hf0 zenon_Hec zenon_Hc2 zenon_Hf3 zenon_Hb5 zenon_H4b zenon_H42 zenon_H9e zenon_H12c zenon_He1 zenon_H3d zenon_H128 zenon_H125 zenon_H131 zenon_H123 zenon_H113 zenon_Hff zenon_Hf8 zenon_H45 zenon_H95 zenon_H65 zenon_Ha2 zenon_Hfb zenon_Hcf zenon_Hea zenon_Hc8 zenon_H136 zenon_Hb8 zenon_H19 zenon_H1b zenon_H327 zenon_H2e1 zenon_H2ba zenon_H2c5 zenon_H2c9 zenon_H3ec zenon_H13 zenon_H14 zenon_H349 zenon_H15e zenon_H2ea zenon_H2d4 zenon_H341 zenon_H324 zenon_H2ff zenon_H2e0 zenon_H2db zenon_H13b zenon_H14e zenon_H210.
% 51.40/51.62 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H15f | zenon_intro zenon_H28f ].
% 51.40/51.62 apply (zenon_L116_); trivial.
% 51.40/51.62 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H165 | zenon_intro zenon_H290 ].
% 51.40/51.62 apply (zenon_L117_); trivial.
% 51.40/51.62 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H169 | zenon_intro zenon_H175 ].
% 51.40/51.62 apply (zenon_L118_); trivial.
% 51.40/51.62 apply (zenon_L753_); trivial.
% 51.40/51.62 (* end of lemma zenon_L754_ *)
% 51.40/51.62 assert (zenon_L755_ : ((h4 (e13)) = (e23)) -> ((op1 (e13) (e10)) = (e13)) -> (~((e23) = (h4 (op1 (e13) (e10))))) -> False).
% 51.40/51.62 do 0 intro. intros zenon_H2ea zenon_H66 zenon_H3f2.
% 51.40/51.62 elim (classic ((h4 (op1 (e13) (e10))) = (h4 (op1 (e13) (e10))))); [ zenon_intro zenon_H3f3 | zenon_intro zenon_H3f4 ].
% 51.40/51.62 cut (((h4 (op1 (e13) (e10))) = (h4 (op1 (e13) (e10)))) = ((e23) = (h4 (op1 (e13) (e10))))).
% 51.40/51.62 intro zenon_D_pnotp.
% 51.40/51.62 apply zenon_H3f2.
% 51.40/51.62 rewrite <- zenon_D_pnotp.
% 51.40/51.62 exact zenon_H3f3.
% 51.40/51.62 cut (((h4 (op1 (e13) (e10))) = (h4 (op1 (e13) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H3f4].
% 51.40/51.62 cut (((h4 (op1 (e13) (e10))) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H3f5].
% 51.40/51.62 congruence.
% 51.40/51.62 cut (((h4 (e13)) = (e23)) = ((h4 (op1 (e13) (e10))) = (e23))).
% 51.40/51.62 intro zenon_D_pnotp.
% 51.40/51.62 apply zenon_H3f5.
% 51.40/51.62 rewrite <- zenon_D_pnotp.
% 51.40/51.62 exact zenon_H2ea.
% 51.40/51.62 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H14c].
% 51.40/51.62 cut (((h4 (e13)) = (h4 (op1 (e13) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H3f6].
% 51.40/51.62 congruence.
% 51.40/51.62 elim (classic ((h4 (op1 (e13) (e10))) = (h4 (op1 (e13) (e10))))); [ zenon_intro zenon_H3f3 | zenon_intro zenon_H3f4 ].
% 51.40/51.62 cut (((h4 (op1 (e13) (e10))) = (h4 (op1 (e13) (e10)))) = ((h4 (e13)) = (h4 (op1 (e13) (e10))))).
% 51.40/51.62 intro zenon_D_pnotp.
% 51.40/51.62 apply zenon_H3f6.
% 51.40/51.62 rewrite <- zenon_D_pnotp.
% 51.40/51.62 exact zenon_H3f3.
% 51.40/51.62 cut (((h4 (op1 (e13) (e10))) = (h4 (op1 (e13) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H3f4].
% 51.40/51.62 cut (((h4 (op1 (e13) (e10))) = (h4 (e13)))); [idtac | apply NNPP; zenon_intro zenon_H3f7].
% 51.40/51.62 congruence.
% 51.40/51.62 cut (((op1 (e13) (e10)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_He9].
% 51.40/51.62 congruence.
% 51.40/51.62 exact (zenon_He9 zenon_H66).
% 51.40/51.62 apply zenon_H3f4. apply refl_equal.
% 51.40/51.62 apply zenon_H3f4. apply refl_equal.
% 51.40/51.62 apply zenon_H14c. apply refl_equal.
% 51.40/51.62 apply zenon_H3f4. apply refl_equal.
% 51.40/51.62 apply zenon_H3f4. apply refl_equal.
% 51.40/51.62 (* end of lemma zenon_L755_ *)
% 51.40/51.62 assert (zenon_L756_ : ((op2 (e23) (e20)) = (e23)) -> ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e13)) = (e23)) -> ((op1 (e13) (e10)) = (e13)) -> (~((h4 (op1 (e13) (e10))) = (op2 (h4 (e13)) (h4 (e10))))) -> False).
% 51.40/51.62 do 0 intro. intros zenon_H1cd zenon_H13 zenon_H14 zenon_H2ea zenon_H66 zenon_H3f8.
% 51.40/51.62 elim (classic ((op2 (h4 (e13)) (h4 (e10))) = (op2 (h4 (e13)) (h4 (e10))))); [ zenon_intro zenon_H3f9 | zenon_intro zenon_H3fa ].
% 51.40/51.62 cut (((op2 (h4 (e13)) (h4 (e10))) = (op2 (h4 (e13)) (h4 (e10)))) = ((h4 (op1 (e13) (e10))) = (op2 (h4 (e13)) (h4 (e10))))).
% 51.40/51.62 intro zenon_D_pnotp.
% 51.40/51.62 apply zenon_H3f8.
% 51.40/51.62 rewrite <- zenon_D_pnotp.
% 51.40/51.62 exact zenon_H3f9.
% 51.40/51.62 cut (((op2 (h4 (e13)) (h4 (e10))) = (op2 (h4 (e13)) (h4 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H3fa].
% 51.40/51.62 cut (((op2 (h4 (e13)) (h4 (e10))) = (h4 (op1 (e13) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H3fb].
% 51.40/51.62 congruence.
% 51.40/51.62 cut (((op2 (e23) (e20)) = (e23)) = ((op2 (h4 (e13)) (h4 (e10))) = (h4 (op1 (e13) (e10))))).
% 51.40/51.62 intro zenon_D_pnotp.
% 51.40/51.62 apply zenon_H3fb.
% 51.40/51.62 rewrite <- zenon_D_pnotp.
% 51.40/51.62 exact zenon_H1cd.
% 51.40/51.62 cut (((e23) = (h4 (op1 (e13) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H3f2].
% 51.40/51.62 cut (((op2 (e23) (e20)) = (op2 (h4 (e13)) (h4 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H3fc].
% 51.40/51.62 congruence.
% 51.40/51.62 elim (classic ((op2 (h4 (e13)) (h4 (e10))) = (op2 (h4 (e13)) (h4 (e10))))); [ zenon_intro zenon_H3f9 | zenon_intro zenon_H3fa ].
% 51.40/51.62 cut (((op2 (h4 (e13)) (h4 (e10))) = (op2 (h4 (e13)) (h4 (e10)))) = ((op2 (e23) (e20)) = (op2 (h4 (e13)) (h4 (e10))))).
% 51.40/51.62 intro zenon_D_pnotp.
% 51.40/51.62 apply zenon_H3fc.
% 51.40/51.62 rewrite <- zenon_D_pnotp.
% 51.40/51.62 exact zenon_H3f9.
% 51.40/51.62 cut (((op2 (h4 (e13)) (h4 (e10))) = (op2 (h4 (e13)) (h4 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H3fa].
% 51.40/51.62 cut (((op2 (h4 (e13)) (h4 (e10))) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H3fd].
% 51.40/51.62 congruence.
% 51.40/51.62 cut (((h4 (e10)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H12].
% 51.40/51.62 cut (((h4 (e13)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H399].
% 51.40/51.62 congruence.
% 51.40/51.62 exact (zenon_H399 zenon_H2ea).
% 51.40/51.62 apply (zenon_L1_); trivial.
% 51.40/51.62 apply zenon_H3fa. apply refl_equal.
% 51.40/51.62 apply zenon_H3fa. apply refl_equal.
% 51.40/51.62 apply (zenon_L755_); trivial.
% 51.40/51.62 apply zenon_H3fa. apply refl_equal.
% 51.40/51.62 apply zenon_H3fa. apply refl_equal.
% 51.40/51.62 (* end of lemma zenon_L756_ *)
% 51.40/51.62 assert (zenon_L757_ : (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e12)) = (e12)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op2 (e23) (e20)) = (e23)) -> ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e13)) = (e23)) -> (~((h4 (op1 (e13) (e10))) = (op2 (h4 (e13)) (h4 (e10))))) -> False).
% 51.40/51.62 do 0 intro. intros zenon_H31b zenon_H1c zenon_Hb8 zenon_H19 zenon_H113 zenon_Hf1 zenon_Hf0 zenon_H1cd zenon_H13 zenon_H14 zenon_H2ea zenon_H3f8.
% 51.40/51.62 apply (zenon_or_s _ _ zenon_H31b); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H31c ].
% 51.40/51.62 apply (zenon_L39_); trivial.
% 51.40/51.62 apply (zenon_or_s _ _ zenon_H31c); [ zenon_intro zenon_H114 | zenon_intro zenon_H31d ].
% 51.40/51.62 apply (zenon_L82_); trivial.
% 51.40/51.62 apply (zenon_or_s _ _ zenon_H31d); [ zenon_intro zenon_He8 | zenon_intro zenon_H66 ].
% 51.40/51.62 apply (zenon_L64_); trivial.
% 51.40/51.62 apply (zenon_L756_); trivial.
% 51.40/51.62 (* end of lemma zenon_L757_ *)
% 51.40/51.62 assert (zenon_L758_ : (((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)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e11) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((e10) = (e13))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e11) (e13)) = (e10)) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> ((op1 (e13) (e11)) = (e10)) -> (~((h4 (op1 (e13) (e10))) = (op2 (h4 (e13)) (h4 (e10))))) -> ((h4 (e13)) = (e23)) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e23) (e20)) = (e23)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> False).
% 51.40/51.63 do 0 intro. intros zenon_H327 zenon_Hd3 zenon_Hab zenon_Hc8 zenon_H3d zenon_Hb5 zenon_H4b zenon_H42 zenon_H9e zenon_Hea zenon_H50 zenon_H41 zenon_He1 zenon_Hcf zenon_Hc2 zenon_H8c zenon_Hde zenon_H35 zenon_Hbe zenon_H3f8 zenon_H2ea zenon_H14 zenon_H13 zenon_H1cd zenon_Hf0 zenon_H113 zenon_H19 zenon_Hb8 zenon_H31b zenon_H2c zenon_H1c zenon_Hda.
% 51.40/51.63 apply (zenon_or_s _ _ zenon_H327); [ zenon_intro zenon_He8 | zenon_intro zenon_H328 ].
% 51.40/51.63 apply (zenon_L408_); trivial.
% 51.40/51.63 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H2de | zenon_intro zenon_H329 ].
% 51.40/51.63 apply (zenon_L308_); trivial.
% 51.40/51.63 apply (zenon_or_s _ _ zenon_H329); [ zenon_intro zenon_Hf1 | zenon_intro zenon_Hd9 ].
% 51.40/51.63 apply (zenon_L757_); trivial.
% 51.40/51.63 apply (zenon_L46_); trivial.
% 51.40/51.63 (* end of lemma zenon_L758_ *)
% 51.40/51.63 assert (zenon_L759_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((h4 (op1 (e13) (e10))) = (op2 (h4 (e13)) (h4 (e10))))) -> ((h4 (e13)) = (e23)) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e23) (e20)) = (e23)) -> ((op1 (e13) (e11)) = (e10)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e12))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e12) (e10)) = (e13)) -> ((op1 (e11) (e13)) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e11) = (e13))) -> ((e11) = (op1 (e13) (e13))) -> False).
% 51.40/51.63 do 0 intro. intros zenon_Hcf zenon_H3f8 zenon_H2ea zenon_H14 zenon_H13 zenon_H1cd zenon_Hbe zenon_Hda zenon_H1c zenon_H2c zenon_Hd3 zenon_Hab zenon_H90 zenon_H35 zenon_H42 zenon_H7d zenon_He2 zenon_H51 zenon_H54 zenon_He1 zenon_H8c zenon_Hde zenon_H3d zenon_H19.
% 51.40/51.63 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H66 | zenon_intro zenon_Hd0 ].
% 51.40/51.63 apply (zenon_L756_); trivial.
% 51.40/51.63 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hd1 ].
% 51.40/51.63 apply (zenon_L40_); trivial.
% 51.40/51.63 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hb3 ].
% 51.40/51.63 apply (zenon_L372_); trivial.
% 51.40/51.63 apply (zenon_L37_); trivial.
% 51.40/51.63 (* end of lemma zenon_L759_ *)
% 51.40/51.63 assert (zenon_L760_ : (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e11) = (e13))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e13)) -> ((op1 (e12) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e10) = (e13))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op2 (e23) (e20)) = (e23)) -> ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e13)) = (e23)) -> (~((h4 (op1 (e13) (e10))) = (op2 (h4 (e13)) (h4 (e10))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> False).
% 51.40/51.63 do 0 intro. intros zenon_Hc8 zenon_Hb8 zenon_H3d zenon_Hde zenon_He1 zenon_H54 zenon_H51 zenon_He2 zenon_H7d zenon_H42 zenon_H35 zenon_H90 zenon_Hab zenon_Hd3 zenon_H2c zenon_Hda zenon_H1cd zenon_H13 zenon_H14 zenon_H2ea zenon_H3f8 zenon_Hcf zenon_Hc2 zenon_H1c zenon_H19 zenon_H8c.
% 51.40/51.63 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hc9 ].
% 51.40/51.63 apply (zenon_L39_); trivial.
% 51.40/51.63 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hca ].
% 51.40/51.63 apply (zenon_L759_); trivial.
% 51.40/51.63 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H8b ].
% 51.40/51.63 apply (zenon_L41_); trivial.
% 51.40/51.63 apply (zenon_L24_); trivial.
% 51.40/51.63 (* end of lemma zenon_L760_ *)
% 51.40/51.63 assert (zenon_L761_ : ((op1 (e13) (e11)) = (e10)) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e13))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> ((op1 (e13) (e10)) = (e12)) -> (~((e12) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> ((op1 (e12) (e13)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op2 (e23) (e20)) = (e23)) -> ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e13)) = (e23)) -> (~((h4 (op1 (e13) (e10))) = (op2 (h4 (e13)) (h4 (e10))))) -> (~((e11) = (e13))) -> ((e11) = (op1 (e13) (e13))) -> False).
% 51.40/51.63 do 0 intro. intros zenon_Hbe zenon_Hb0 zenon_He1 zenon_H41 zenon_Hea zenon_Hc8 zenon_Hb8 zenon_H42 zenon_Hc2 zenon_H8c zenon_He8 zenon_H4b zenon_Hcf zenon_Hab zenon_H1c zenon_H2c zenon_H95 zenon_H54 zenon_H9e zenon_H49 zenon_Hda zenon_H311 zenon_H62 zenon_H123 zenon_H10e zenon_Hb5 zenon_H30d zenon_Hde zenon_H7d zenon_H35 zenon_H90 zenon_Hd3 zenon_H1cd zenon_H13 zenon_H14 zenon_H2ea zenon_H3f8 zenon_H3d zenon_H19.
% 51.40/51.63 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H66 | zenon_intro zenon_Hd0 ].
% 51.40/51.63 apply (zenon_L756_); trivial.
% 51.40/51.63 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hd1 ].
% 51.40/51.63 apply (zenon_L40_); trivial.
% 51.40/51.63 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hb3 ].
% 51.40/51.63 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H4a | zenon_intro zenon_Hb6 ].
% 51.40/51.63 apply (zenon_L335_); trivial.
% 51.40/51.63 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H51 | zenon_intro zenon_Hb7 ].
% 51.40/51.63 apply (zenon_or_s _ _ zenon_H311); [ zenon_intro zenon_H121 | zenon_intro zenon_H312 ].
% 51.40/51.63 apply (zenon_L88_); trivial.
% 51.40/51.63 apply (zenon_or_s _ _ zenon_H312); [ zenon_intro zenon_H10a | zenon_intro zenon_H313 ].
% 51.40/51.63 apply (zenon_L347_); trivial.
% 51.40/51.63 apply (zenon_or_s _ _ zenon_H313); [ zenon_intro zenon_H7c | zenon_intro zenon_He2 ].
% 51.40/51.63 apply (zenon_L341_); trivial.
% 51.40/51.63 apply (zenon_L760_); trivial.
% 51.40/51.63 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb3 ].
% 51.40/51.63 apply (zenon_L346_); trivial.
% 51.40/51.63 apply (zenon_L37_); trivial.
% 51.40/51.63 apply (zenon_L37_); trivial.
% 51.40/51.63 (* end of lemma zenon_L761_ *)
% 51.40/51.63 assert (zenon_L762_ : ((e11) = (op1 (e13) (e13))) -> (~((e11) = (e13))) -> (~((h4 (op1 (e13) (e10))) = (op2 (h4 (e13)) (h4 (e10))))) -> ((h4 (e13)) = (e23)) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e23) (e20)) = (e23)) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (e13)) = (e10)) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> ((op1 (e13) (e10)) = (e12)) -> (~((e10) = (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e10) = (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> ((op1 (e13) (e11)) = (e10)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> False).
% 51.40/51.63 do 0 intro. intros zenon_H19 zenon_H3d zenon_H3f8 zenon_H2ea zenon_H14 zenon_H13 zenon_H1cd zenon_H90 zenon_H35 zenon_H7d zenon_Hde zenon_H30d zenon_Hb5 zenon_H10e zenon_H123 zenon_H62 zenon_H311 zenon_H9e zenon_H54 zenon_H95 zenon_Hcf zenon_H4b zenon_He8 zenon_H8c zenon_Hc2 zenon_H42 zenon_Hb8 zenon_Hc8 zenon_Hea zenon_H41 zenon_He1 zenon_Hb0 zenon_Hbe zenon_Hab zenon_Hd3 zenon_H2c zenon_H1c zenon_Hda.
% 51.40/51.63 apply (zenon_or_s _ _ zenon_Hde); [ zenon_intro zenon_H49 | zenon_intro zenon_Hdf ].
% 51.40/51.63 apply (zenon_L761_); trivial.
% 51.40/51.63 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_Haa | zenon_intro zenon_He0 ].
% 51.40/51.63 apply (zenon_L34_); trivial.
% 51.40/51.63 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hd2 | zenon_intro zenon_Hd9 ].
% 51.40/51.63 apply (zenon_L45_); trivial.
% 51.40/51.63 apply (zenon_L46_); trivial.
% 51.40/51.63 (* end of lemma zenon_L762_ *)
% 51.40/51.63 assert (zenon_L763_ : (((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)) = (op1 (e11) (e13)))) -> ((op1 (e13) (e11)) = (e10)) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((e10) = (e13))) -> (~((e12) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> ((op1 (e12) (e13)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e11) = (e13))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((h4 (op1 (e13) (e10))) = (op2 (h4 (e13)) (h4 (e10))))) -> ((h4 (e13)) = (e23)) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e23) (e20)) = (e23)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> False).
% 51.40/51.63 do 0 intro. intros zenon_H327 zenon_Hd3 zenon_Hab zenon_Hbe zenon_Hb0 zenon_He1 zenon_H41 zenon_Hea zenon_H42 zenon_H4b zenon_Hcf zenon_H95 zenon_H54 zenon_H9e zenon_H311 zenon_H62 zenon_H123 zenon_H10e zenon_Hb5 zenon_H30d zenon_Hde zenon_H7d zenon_H90 zenon_H3d zenon_H8c zenon_Hc2 zenon_H35 zenon_Hc8 zenon_H3f8 zenon_H2ea zenon_H14 zenon_H13 zenon_H1cd zenon_Hf0 zenon_H113 zenon_H19 zenon_Hb8 zenon_H31b zenon_H2c zenon_H1c zenon_Hda.
% 51.40/51.63 apply (zenon_or_s _ _ zenon_H327); [ zenon_intro zenon_He8 | zenon_intro zenon_H328 ].
% 51.40/51.63 apply (zenon_L762_); trivial.
% 51.40/51.63 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H2de | zenon_intro zenon_H329 ].
% 51.40/51.63 apply (zenon_L309_); trivial.
% 51.40/51.63 apply (zenon_or_s _ _ zenon_H329); [ zenon_intro zenon_Hf1 | zenon_intro zenon_Hd9 ].
% 51.40/51.63 apply (zenon_L757_); trivial.
% 51.40/51.63 apply (zenon_L46_); trivial.
% 51.40/51.63 (* end of lemma zenon_L763_ *)
% 51.40/51.63 assert (zenon_L764_ : (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op2 (e23) (e20)) = (e23)) -> ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e13)) = (e23)) -> (~((h4 (op1 (e13) (e10))) = (op2 (h4 (e13)) (h4 (e10))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e12))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e11) = (e13))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> ((op1 (e13) (e11)) = (e10)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> False).
% 51.40/51.63 do 0 intro. intros zenon_Hda zenon_H1c zenon_H2c zenon_H31b zenon_Hb8 zenon_H113 zenon_Hf0 zenon_H1cd zenon_H13 zenon_H14 zenon_H2ea zenon_H3f8 zenon_Hc8 zenon_H35 zenon_Hc2 zenon_H3d zenon_H90 zenon_H7d zenon_Hde zenon_H30d zenon_Hb5 zenon_H10e zenon_H123 zenon_H311 zenon_H9e zenon_H54 zenon_H95 zenon_Hcf zenon_H4b zenon_H42 zenon_Hea zenon_H41 zenon_He1 zenon_Hb0 zenon_Hbe zenon_Hab zenon_Hd3 zenon_H327 zenon_H19 zenon_H8c.
% 51.40/51.63 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H4e | zenon_intro zenon_H91 ].
% 51.40/51.63 apply (zenon_L47_); trivial.
% 51.40/51.63 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H50 | zenon_intro zenon_H92 ].
% 51.40/51.63 apply (zenon_L758_); trivial.
% 51.40/51.63 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H62 | zenon_intro zenon_H8b ].
% 51.40/51.63 apply (zenon_L763_); trivial.
% 51.40/51.63 apply (zenon_L24_); trivial.
% 51.40/51.63 (* end of lemma zenon_L764_ *)
% 51.40/51.63 assert (zenon_L765_ : (((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)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((e10) = (e13))) -> (~((e12) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e11) = (e13))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((h4 (op1 (e13) (e10))) = (op2 (h4 (e13)) (h4 (e10))))) -> ((h4 (e13)) = (e23)) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e23) (e20)) = (e23)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> False).
% 51.40/51.63 do 0 intro. intros zenon_H327 zenon_Hd3 zenon_Hab zenon_Hb0 zenon_He1 zenon_H41 zenon_Hea zenon_H42 zenon_H4b zenon_Hcf zenon_H95 zenon_H54 zenon_H9e zenon_H311 zenon_H123 zenon_H10e zenon_Hb5 zenon_H30d zenon_Hde zenon_H7d zenon_H90 zenon_H3d zenon_H35 zenon_Hc8 zenon_H3f8 zenon_H2ea zenon_H14 zenon_H13 zenon_H1cd zenon_Hf0 zenon_H113 zenon_Hb8 zenon_H31b zenon_H2c zenon_Hda zenon_Hc2 zenon_H1c zenon_H19 zenon_H8c.
% 51.40/51.63 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hc9 ].
% 51.40/51.63 apply (zenon_L39_); trivial.
% 51.40/51.63 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hca ].
% 51.40/51.63 apply (zenon_L764_); trivial.
% 51.40/51.63 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H8b ].
% 51.40/51.63 apply (zenon_L41_); trivial.
% 51.40/51.63 apply (zenon_L24_); trivial.
% 51.40/51.63 (* end of lemma zenon_L765_ *)
% 51.40/51.63 assert (zenon_L766_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((h4 (op1 (e13) (e10))) = (op2 (h4 (e13)) (h4 (e10))))) -> ((h4 (e13)) = (e23)) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e23) (e20)) = (e23)) -> (~((e10) = (e11))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e10) = (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op1 (e11) (e12)) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e13))) -> ((e11) = (op1 (e13) (e13))) -> False).
% 51.40/51.63 do 0 intro. intros zenon_Hcf zenon_H3f8 zenon_H2ea zenon_H14 zenon_H13 zenon_H1cd zenon_H8c zenon_H1c zenon_Hc2 zenon_H42 zenon_Hb8 zenon_Hc8 zenon_Ha3 zenon_Hcb zenon_H3d zenon_H19.
% 51.40/51.63 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H66 | zenon_intro zenon_Hd0 ].
% 51.40/51.63 apply (zenon_L756_); trivial.
% 51.40/51.63 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hd1 ].
% 51.40/51.63 apply (zenon_L42_); trivial.
% 51.40/51.63 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hb3 ].
% 51.40/51.63 apply (zenon_L43_); trivial.
% 51.40/51.63 apply (zenon_L37_); trivial.
% 51.40/51.63 (* end of lemma zenon_L766_ *)
% 51.40/51.63 assert (zenon_L767_ : (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> ((op1 (e10) (e10)) = (e10)) -> (~((e10) = (e11))) -> ((e11) = (op1 (e13) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e12))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e11) = (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((op1 (e10) (e11)) = (e13)) -> ((op1 (e11) (e10)) = (e11)) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((op2 (e23) (e20)) = (e23)) -> ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e13)) = (e23)) -> (~((h4 (op1 (e13) (e10))) = (op2 (h4 (e13)) (h4 (e10))))) -> False).
% 51.40/51.63 do 0 intro. intros zenon_Hfb zenon_H23 zenon_H8c zenon_H19 zenon_H1c zenon_Hc2 zenon_Hcf zenon_Hda zenon_H2c zenon_Hd3 zenon_Hab zenon_H90 zenon_H35 zenon_H42 zenon_H7d zenon_H54 zenon_He1 zenon_Hde zenon_H3d zenon_Hb8 zenon_Hc8 zenon_Hcb zenon_H45 zenon_H46 zenon_H108 zenon_Hf8 zenon_H1cd zenon_H13 zenon_H14 zenon_H2ea zenon_H3f8.
% 51.40/51.63 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hfc ].
% 51.40/51.63 apply (zenon_L317_); trivial.
% 51.40/51.63 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H41 | zenon_intro zenon_Hfd ].
% 51.40/51.63 apply (zenon_L328_); trivial.
% 51.40/51.63 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_He2 | zenon_intro zenon_H66 ].
% 51.40/51.63 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H41 | zenon_intro zenon_Hf9 ].
% 51.40/51.63 apply (zenon_L328_); trivial.
% 51.40/51.63 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H47 | zenon_intro zenon_Hfa ].
% 51.40/51.63 apply (zenon_L13_); trivial.
% 51.40/51.63 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H51 ].
% 51.40/51.63 apply (zenon_L766_); trivial.
% 51.40/51.63 apply (zenon_L760_); trivial.
% 51.40/51.63 apply (zenon_L756_); trivial.
% 51.40/51.63 (* end of lemma zenon_L767_ *)
% 51.40/51.63 assert (zenon_L768_ : (((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)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e11))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> ((op1 (e11) (e10)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e10)) = (e13)) -> ((op1 (e12) (e13)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e10) (e12)) = (e13)) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e11) = (e13))) -> (~((e10) = (e12))) -> ((op1 (e13) (e11)) = (e10)) -> (~((h4 (op1 (e13) (e10))) = (op2 (h4 (e13)) (h4 (e10))))) -> ((h4 (e13)) = (e23)) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e23) (e20)) = (e23)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> False).
% 51.40/51.63 do 0 intro. intros zenon_H327 zenon_Hd3 zenon_Hab zenon_Hb0 zenon_Hc2 zenon_Hcf zenon_H8c zenon_H42 zenon_Hc8 zenon_H131 zenon_H108 zenon_H128 zenon_H12c zenon_He1 zenon_Hec zenon_Hf3 zenon_Hcb zenon_He2 zenon_H62 zenon_H7d zenon_Hde zenon_H4b zenon_Hb5 zenon_H2db zenon_He6 zenon_H324 zenon_H95 zenon_H54 zenon_H9e zenon_H90 zenon_H3d zenon_H35 zenon_Hbe zenon_H3f8 zenon_H2ea zenon_H14 zenon_H13 zenon_H1cd zenon_Hf0 zenon_H113 zenon_H19 zenon_Hb8 zenon_H31b zenon_H2c zenon_H1c zenon_Hda.
% 51.40/51.63 apply (zenon_or_s _ _ zenon_H327); [ zenon_intro zenon_He8 | zenon_intro zenon_H328 ].
% 51.40/51.63 apply (zenon_L414_); trivial.
% 51.40/51.63 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H2de | zenon_intro zenon_H329 ].
% 51.40/51.63 apply (zenon_L308_); trivial.
% 51.40/51.63 apply (zenon_or_s _ _ zenon_H329); [ zenon_intro zenon_Hf1 | zenon_intro zenon_Hd9 ].
% 51.40/51.63 apply (zenon_L757_); trivial.
% 51.40/51.63 apply (zenon_L46_); trivial.
% 51.40/51.63 (* end of lemma zenon_L768_ *)
% 51.40/51.63 assert (zenon_L769_ : ((op1 (e11) (e12)) = (e10)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op2 (e23) (e20)) = (e23)) -> ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e13)) = (e23)) -> (~((h4 (op1 (e13) (e10))) = (op2 (h4 (e13)) (h4 (e10))))) -> ((op1 (e13) (e11)) = (e10)) -> (~((e10) = (e12))) -> (~((e11) = (e13))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e12) (e10)) = (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) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (e10)) = (e11)) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> False).
% 51.40/51.63 do 0 intro. intros zenon_H126 zenon_Hda zenon_H1c zenon_H2c zenon_H31b zenon_Hb8 zenon_H113 zenon_Hf0 zenon_H1cd zenon_H13 zenon_H14 zenon_H2ea zenon_H3f8 zenon_Hbe zenon_H35 zenon_H3d zenon_H90 zenon_H9e zenon_H54 zenon_H95 zenon_H324 zenon_He6 zenon_H2db zenon_Hb5 zenon_H4b zenon_Hde zenon_H7d zenon_He2 zenon_Hcb zenon_Hf3 zenon_Hec zenon_He1 zenon_H12c zenon_H128 zenon_H108 zenon_H131 zenon_Hc8 zenon_H42 zenon_Hcf zenon_Hc2 zenon_Hb0 zenon_Hab zenon_Hd3 zenon_H327 zenon_H19 zenon_H8c.
% 51.40/51.63 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H4e | zenon_intro zenon_H91 ].
% 51.40/51.63 apply (zenon_L47_); trivial.
% 51.40/51.63 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H50 | zenon_intro zenon_H92 ].
% 51.40/51.63 apply (zenon_L303_); trivial.
% 51.40/51.63 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H62 | zenon_intro zenon_H8b ].
% 51.40/51.63 apply (zenon_L768_); trivial.
% 51.40/51.63 apply (zenon_L24_); trivial.
% 51.40/51.63 (* end of lemma zenon_L769_ *)
% 51.40/51.63 assert (zenon_L770_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((h4 (op1 (e13) (e10))) = (op2 (h4 (e13)) (h4 (e10))))) -> ((h4 (e13)) = (e23)) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e23) (e20)) = (e23)) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> ((op1 (e13) (e11)) = (e10)) -> ((op1 (e12) (e12)) = (e10)) -> ((op1 (e11) (e10)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e10)) = (e12)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e12) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e10) = (e13))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e11) = (e13))) -> ((e11) = (op1 (e13) (e13))) -> False).
% 51.40/51.63 do 0 intro. intros zenon_Hcf zenon_H3f8 zenon_H2ea zenon_H14 zenon_H13 zenon_H1cd zenon_H131 zenon_Hbe zenon_H321 zenon_H108 zenon_H128 zenon_Hda zenon_H49 zenon_H9e zenon_H12c zenon_He1 zenon_Hf0 zenon_He8 zenon_Hec zenon_H1c zenon_Hc2 zenon_Hf3 zenon_Hcb zenon_Hde zenon_H8c zenon_H54 zenon_He2 zenon_H7d zenon_H42 zenon_H35 zenon_H90 zenon_Hab zenon_Hd3 zenon_H2c zenon_H4b zenon_Hb5 zenon_H3d zenon_H19.
% 51.40/51.63 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H66 | zenon_intro zenon_Hd0 ].
% 51.40/51.63 apply (zenon_L756_); trivial.
% 51.40/51.63 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hd1 ].
% 51.40/51.63 apply (zenon_L40_); trivial.
% 51.40/51.63 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hb3 ].
% 51.40/51.63 apply (zenon_L417_); trivial.
% 51.40/51.63 apply (zenon_L37_); trivial.
% 51.40/51.63 (* end of lemma zenon_L770_ *)
% 51.40/51.63 assert (zenon_L771_ : ((e11) = (op1 (e13) (e13))) -> (~((e11) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e12))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e12) (e10)) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (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 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e10)) = (e12)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (e10)) = (e11)) -> ((op1 (e12) (e12)) = (e10)) -> ((op1 (e13) (e11)) = (e10)) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> ((op2 (e23) (e20)) = (e23)) -> ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e13)) = (e23)) -> (~((h4 (op1 (e13) (e10))) = (op2 (h4 (e13)) (h4 (e10))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> False).
% 51.40/51.63 do 0 intro. intros zenon_H19 zenon_H3d zenon_Hb5 zenon_H4b zenon_H90 zenon_H35 zenon_H42 zenon_H7d zenon_He2 zenon_H54 zenon_H8c zenon_Hde zenon_Hcb zenon_Hf3 zenon_Hc2 zenon_Hec zenon_He8 zenon_Hf0 zenon_He1 zenon_H12c zenon_H9e zenon_H128 zenon_H108 zenon_H321 zenon_Hbe zenon_H131 zenon_H1cd zenon_H13 zenon_H14 zenon_H2ea zenon_H3f8 zenon_Hcf zenon_Hab zenon_Hd3 zenon_H2c zenon_H1c zenon_Hda.
% 51.40/51.63 apply (zenon_or_s _ _ zenon_Hde); [ zenon_intro zenon_H49 | zenon_intro zenon_Hdf ].
% 51.40/51.63 apply (zenon_L770_); trivial.
% 51.40/51.63 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_Haa | zenon_intro zenon_He0 ].
% 51.40/51.63 apply (zenon_L34_); trivial.
% 51.40/51.63 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hd2 | zenon_intro zenon_Hd9 ].
% 51.40/51.63 apply (zenon_L45_); trivial.
% 51.40/51.63 apply (zenon_L46_); trivial.
% 51.40/51.63 (* end of lemma zenon_L771_ *)
% 51.40/51.63 assert (zenon_L772_ : (((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)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> ((op1 (e13) (e11)) = (e10)) -> ((op1 (e12) (e12)) = (e10)) -> ((op1 (e11) (e10)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (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) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e12) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e10) = (e13))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e11) = (e13))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((h4 (op1 (e13) (e10))) = (op2 (h4 (e13)) (h4 (e10))))) -> ((h4 (e13)) = (e23)) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e23) (e20)) = (e23)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> False).
% 51.40/51.63 do 0 intro. intros zenon_H327 zenon_Hd3 zenon_Hab zenon_Hcf zenon_H131 zenon_Hbe zenon_H321 zenon_H108 zenon_H128 zenon_H9e zenon_H12c zenon_He1 zenon_Hec zenon_Hf3 zenon_Hcb zenon_Hde zenon_H54 zenon_He2 zenon_H7d zenon_H42 zenon_H90 zenon_H4b zenon_Hb5 zenon_H3d zenon_H8c zenon_Hc2 zenon_H35 zenon_Hc8 zenon_H3f8 zenon_H2ea zenon_H14 zenon_H13 zenon_H1cd zenon_Hf0 zenon_H113 zenon_H19 zenon_Hb8 zenon_H31b zenon_H2c zenon_H1c zenon_Hda.
% 51.40/51.63 apply (zenon_or_s _ _ zenon_H327); [ zenon_intro zenon_He8 | zenon_intro zenon_H328 ].
% 51.40/51.63 apply (zenon_L771_); trivial.
% 51.40/51.63 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H2de | zenon_intro zenon_H329 ].
% 51.40/51.63 apply (zenon_L309_); trivial.
% 51.40/51.63 apply (zenon_or_s _ _ zenon_H329); [ zenon_intro zenon_Hf1 | zenon_intro zenon_Hd9 ].
% 51.40/51.63 apply (zenon_L757_); trivial.
% 51.40/51.63 apply (zenon_L46_); trivial.
% 51.40/51.63 (* end of lemma zenon_L772_ *)
% 51.40/51.63 assert (zenon_L773_ : (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op2 (e23) (e20)) = (e23)) -> ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e13)) = (e23)) -> (~((h4 (op1 (e13) (e10))) = (op2 (h4 (e13)) (h4 (e10))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e12))) -> (~((e10) = (e11))) -> (~((e11) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e12) (e10)) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (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 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (e10)) = (e11)) -> ((op1 (e13) (e11)) = (e10)) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False).
% 51.40/51.63 do 0 intro. intros zenon_H324 zenon_He6 zenon_H2db zenon_H50 zenon_Hda zenon_H2c zenon_H31b zenon_Hb8 zenon_H113 zenon_Hf0 zenon_H1cd zenon_H13 zenon_H14 zenon_H2ea zenon_H3f8 zenon_Hc8 zenon_H35 zenon_H8c zenon_H3d zenon_Hb5 zenon_H4b zenon_H90 zenon_H42 zenon_H7d zenon_He2 zenon_H54 zenon_Hde zenon_Hcb zenon_Hf3 zenon_Hec zenon_He1 zenon_H12c zenon_H9e zenon_H128 zenon_H108 zenon_Hbe zenon_H131 zenon_Hcf zenon_Hab zenon_Hd3 zenon_H327 zenon_H1c zenon_H19 zenon_Hc2.
% 51.40/51.63 apply (zenon_or_s _ _ zenon_H324); [ zenon_intro zenon_H22 | zenon_intro zenon_H325 ].
% 51.40/51.63 apply (zenon_L56_); trivial.
% 51.40/51.63 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H126 | zenon_intro zenon_H326 ].
% 51.40/51.63 apply (zenon_L303_); trivial.
% 51.40/51.63 apply (zenon_or_s _ _ zenon_H326); [ zenon_intro zenon_H321 | zenon_intro zenon_Hc1 ].
% 51.40/51.63 apply (zenon_L772_); trivial.
% 51.40/51.63 apply (zenon_L41_); trivial.
% 51.40/51.63 (* end of lemma zenon_L773_ *)
% 51.40/51.63 assert (zenon_L774_ : (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((e10) = (e13))) -> ((op1 (e10) (e10)) = (e10)) -> (~((e12) = (e13))) -> ((op1 (e11) (e10)) = (e12)) -> (~((e11) = (e13))) -> ((op1 (e12) (e10)) = (e11)) -> ((op2 (e23) (e20)) = (e23)) -> ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e13)) = (e23)) -> (~((h4 (op1 (e13) (e10))) = (op2 (h4 (e13)) (h4 (e10))))) -> False).
% 51.40/51.63 do 0 intro. intros zenon_Hfb zenon_H42 zenon_H23 zenon_H4b zenon_H34 zenon_H3d zenon_H10a zenon_H1cd zenon_H13 zenon_H14 zenon_H2ea zenon_H3f8.
% 51.40/51.63 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hfc ].
% 51.40/51.63 apply (zenon_L317_); trivial.
% 51.40/51.63 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H41 | zenon_intro zenon_Hfd ].
% 51.40/51.63 apply (zenon_L86_); trivial.
% 51.40/51.63 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_He2 | zenon_intro zenon_H66 ].
% 51.40/51.63 apply (zenon_L421_); trivial.
% 51.40/51.63 apply (zenon_L756_); trivial.
% 51.40/51.63 (* end of lemma zenon_L774_ *)
% 51.40/51.63 assert (zenon_L775_ : (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e11) (e12)) = (e10)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e13) (e11)) = (e10)) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e13))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e10)) = (e12)) -> (~((e12) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op2 (e23) (e20)) = (e23)) -> ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e13)) = (e23)) -> (~((h4 (op1 (e13) (e10))) = (op2 (h4 (e13)) (h4 (e10))))) -> (~((e11) = (e13))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> False).
% 51.40/51.63 do 0 intro. intros zenon_H2db zenon_H126 zenon_Hda zenon_H1c zenon_H2c zenon_Hd3 zenon_Hab zenon_Hbe zenon_Hb0 zenon_He1 zenon_H41 zenon_Hea zenon_Hc8 zenon_Hb8 zenon_H42 zenon_Hc2 zenon_He8 zenon_H4b zenon_Hcf zenon_H95 zenon_H54 zenon_H9e zenon_H311 zenon_H123 zenon_H10e zenon_Hb5 zenon_H30d zenon_Hde zenon_H7d zenon_H35 zenon_H90 zenon_H1cd zenon_H13 zenon_H14 zenon_H2ea zenon_H3f8 zenon_H3d zenon_H19 zenon_H8c.
% 51.40/51.63 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H4e | zenon_intro zenon_H91 ].
% 51.40/51.63 apply (zenon_L47_); trivial.
% 51.40/51.63 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H50 | zenon_intro zenon_H92 ].
% 51.40/51.63 apply (zenon_L303_); trivial.
% 51.40/51.63 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H62 | zenon_intro zenon_H8b ].
% 51.40/51.63 apply (zenon_L762_); trivial.
% 51.40/51.63 apply (zenon_L24_); trivial.
% 51.40/51.63 (* end of lemma zenon_L775_ *)
% 51.40/51.63 assert (zenon_L776_ : (~((e11) = (e13))) -> (~((h4 (op1 (e13) (e10))) = (op2 (h4 (e13)) (h4 (e10))))) -> ((h4 (e13)) = (e23)) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e23) (e20)) = (e23)) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> ((op1 (e13) (e10)) = (e12)) -> (~((e10) = (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e12)) = (e10)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> False).
% 51.40/51.63 do 0 intro. intros zenon_H3d zenon_H3f8 zenon_H2ea zenon_H14 zenon_H13 zenon_H1cd zenon_H90 zenon_H35 zenon_H7d zenon_Hde zenon_H30d zenon_Hb5 zenon_H10e zenon_H123 zenon_H311 zenon_H9e zenon_H54 zenon_H95 zenon_Hcf zenon_H4b zenon_He8 zenon_H42 zenon_Hb8 zenon_Hc8 zenon_Hea zenon_H41 zenon_He1 zenon_Hb0 zenon_Hab zenon_Hd3 zenon_H2c zenon_Hda zenon_H126 zenon_H2db zenon_Hc2 zenon_H1c zenon_H19 zenon_H8c.
% 51.40/51.63 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hc9 ].
% 51.40/51.63 apply (zenon_L39_); trivial.
% 51.40/51.63 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hca ].
% 51.40/51.63 apply (zenon_L775_); trivial.
% 51.40/51.63 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H8b ].
% 51.40/51.63 apply (zenon_L41_); trivial.
% 51.40/51.63 apply (zenon_L24_); trivial.
% 51.40/51.63 (* end of lemma zenon_L776_ *)
% 51.40/51.63 assert (zenon_L777_ : (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((op1 (e13) (e10)) = (e12)) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((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))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((op2 (e23) (e20)) = (e23)) -> ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e13)) = (e23)) -> (~((h4 (op1 (e13) (e10))) = (op2 (h4 (e13)) (h4 (e10))))) -> ((op1 (e10) (e10)) = (e10)) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((e11) = (e13))) -> ((op1 (e10) (e12)) = (e11)) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> False).
% 51.40/51.63 do 0 intro. intros zenon_Hff zenon_He8 zenon_Hf8 zenon_Hb0 zenon_Hea zenon_H9e zenon_Hb5 zenon_H45 zenon_Hcb zenon_Hf0 zenon_Hec zenon_Hf3 zenon_Hc8 zenon_Hb8 zenon_He1 zenon_H54 zenon_H7d zenon_H42 zenon_Hcf zenon_H35 zenon_H90 zenon_Hc2 zenon_H19 zenon_H8c zenon_H2e0 zenon_H2db zenon_H95 zenon_H311 zenon_H123 zenon_H10e zenon_H30d zenon_H1cd zenon_H13 zenon_H14 zenon_H2ea zenon_H3f8 zenon_H23 zenon_Hfb zenon_H3d zenon_H11a zenon_Hde zenon_H4b zenon_Hab zenon_Hd3 zenon_H2c zenon_H1c zenon_Hda.
% 51.40/51.63 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H3c | zenon_intro zenon_H102 ].
% 51.40/51.63 apply (zenon_L317_); trivial.
% 51.40/51.63 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_H46 | zenon_intro zenon_H103 ].
% 51.40/51.63 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hfc ].
% 51.40/51.63 apply (zenon_L317_); trivial.
% 51.40/51.63 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H41 | zenon_intro zenon_Hfd ].
% 51.40/51.63 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H33 | zenon_intro zenon_H2e2 ].
% 51.40/51.63 apply (zenon_L12_); trivial.
% 51.40/51.63 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2e3 ].
% 51.40/51.63 apply (zenon_L283_); trivial.
% 51.40/51.63 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H126 | zenon_intro zenon_H50 ].
% 51.40/51.63 apply (zenon_L776_); trivial.
% 51.40/51.63 apply (zenon_L749_); trivial.
% 51.40/51.63 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_He2 | zenon_intro zenon_H66 ].
% 51.40/51.63 apply (zenon_L352_); trivial.
% 51.40/51.63 apply (zenon_L57_); trivial.
% 51.40/51.63 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_He6 | zenon_intro zenon_H4a ].
% 51.40/51.63 apply (zenon_L427_); trivial.
% 51.40/51.63 apply (zenon_L335_); trivial.
% 51.40/51.63 (* end of lemma zenon_L777_ *)
% 51.40/51.63 assert (zenon_L778_ : (((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)) = (op1 (e11) (e13)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e10) (e12)) = (e11)) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((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 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e10) = (e12))) -> ((op1 (e13) (e11)) = (e10)) -> (~((h4 (op1 (e13) (e10))) = (op2 (h4 (e13)) (h4 (e10))))) -> ((h4 (e13)) = (e23)) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e23) (e20)) = (e23)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> False).
% 51.40/51.63 do 0 intro. intros zenon_H327 zenon_Hd3 zenon_Hab zenon_H4b zenon_Hde zenon_H11a zenon_H3d zenon_Hfb zenon_H23 zenon_H30d zenon_H10e zenon_H123 zenon_H311 zenon_H95 zenon_H2db zenon_H2e0 zenon_H8c zenon_Hc2 zenon_H90 zenon_Hcf zenon_H42 zenon_H7d zenon_H54 zenon_He1 zenon_Hc8 zenon_Hf3 zenon_Hec zenon_Hcb zenon_H45 zenon_Hb5 zenon_H9e zenon_Hea zenon_Hb0 zenon_Hf8 zenon_Hff zenon_H35 zenon_Hbe zenon_H3f8 zenon_H2ea zenon_H14 zenon_H13 zenon_H1cd zenon_Hf0 zenon_H113 zenon_H19 zenon_Hb8 zenon_H31b zenon_H2c zenon_H1c zenon_Hda.
% 51.40/51.63 apply (zenon_or_s _ _ zenon_H327); [ zenon_intro zenon_He8 | zenon_intro zenon_H328 ].
% 51.40/51.63 apply (zenon_L777_); trivial.
% 51.40/51.63 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H2de | zenon_intro zenon_H329 ].
% 51.40/51.63 apply (zenon_L308_); trivial.
% 51.40/51.63 apply (zenon_or_s _ _ zenon_H329); [ zenon_intro zenon_Hf1 | zenon_intro zenon_Hd9 ].
% 51.40/51.63 apply (zenon_L757_); trivial.
% 51.40/51.63 apply (zenon_L46_); trivial.
% 51.40/51.63 (* end of lemma zenon_L778_ *)
% 51.40/51.63 assert (zenon_L779_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> ((op2 (e23) (e20)) = (e23)) -> ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e13)) = (e23)) -> (~((h4 (op1 (e13) (e10))) = (op2 (h4 (e13)) (h4 (e10))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (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)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e13))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> False).
% 51.40/51.63 do 0 intro. intros zenon_H13b zenon_H31b zenon_H1cd zenon_H13 zenon_H14 zenon_H2ea zenon_H3f8 zenon_H2e0 zenon_H2db zenon_H311 zenon_H30d zenon_H327 zenon_H324 zenon_H2d4 zenon_H2ba zenon_H1b zenon_H19 zenon_Hb8 zenon_H136 zenon_Hc8 zenon_Hea zenon_Hcf zenon_Hfb zenon_Ha2 zenon_H65 zenon_H95 zenon_H45 zenon_Hf8 zenon_Hff zenon_H113 zenon_H123 zenon_H131 zenon_H125 zenon_H128 zenon_H3d zenon_He1 zenon_H12c zenon_H9e zenon_H42 zenon_H4b zenon_Hb5 zenon_Hf3 zenon_Hc2 zenon_Hec zenon_Hf0 zenon_Hcb zenon_H90 zenon_H10b zenon_H2b zenon_Hfe zenon_H105 zenon_H117 zenon_H8c zenon_Haf zenon_H72 zenon_H7d zenon_H10e zenon_H54 zenon_Hf6 zenon_Hb0 zenon_H24 zenon_H135 zenon_Hde zenon_H35 zenon_Hab zenon_Hd3 zenon_H2c zenon_H1c zenon_Hda.
% 51.40/51.63 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H23 | zenon_intro zenon_H13e ].
% 51.40/51.63 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H3b | zenon_intro zenon_H139 ].
% 51.40/51.63 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hfc ].
% 51.40/51.63 apply (zenon_L11_); trivial.
% 51.40/51.63 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H41 | zenon_intro zenon_Hfd ].
% 51.40/51.63 apply (zenon_L765_); trivial.
% 51.40/51.63 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_He2 | zenon_intro zenon_H66 ].
% 51.40/51.63 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H41 | zenon_intro zenon_Hf9 ].
% 51.40/51.63 apply (zenon_L765_); trivial.
% 51.40/51.63 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H47 | zenon_intro zenon_Hfa ].
% 51.40/51.63 apply (zenon_L299_); trivial.
% 51.40/51.63 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H51 ].
% 51.40/51.63 apply (zenon_L766_); trivial.
% 51.40/51.63 apply (zenon_L760_); trivial.
% 51.40/51.63 apply (zenon_L756_); trivial.
% 51.40/51.63 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H104 | zenon_intro zenon_H13a ].
% 51.40/51.63 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H3b | zenon_intro zenon_H118 ].
% 51.40/51.63 apply (zenon_L73_); trivial.
% 51.40/51.63 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H108 | zenon_intro zenon_H119 ].
% 51.40/51.63 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H3c | zenon_intro zenon_H102 ].
% 51.40/51.63 apply (zenon_L317_); trivial.
% 51.40/51.63 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_H46 | zenon_intro zenon_H103 ].
% 51.40/51.63 apply (zenon_L767_); trivial.
% 51.40/51.63 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_He6 | zenon_intro zenon_H4a ].
% 51.40/51.63 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hfc ].
% 51.40/51.63 apply (zenon_L317_); trivial.
% 51.40/51.63 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H41 | zenon_intro zenon_Hfd ].
% 51.40/51.63 apply (zenon_L328_); trivial.
% 51.40/51.63 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_He2 | zenon_intro zenon_H66 ].
% 51.40/51.63 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H33 | zenon_intro zenon_H2e2 ].
% 51.40/51.63 apply (zenon_L74_); trivial.
% 51.40/51.63 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2e3 ].
% 51.40/51.63 apply (zenon_L283_); trivial.
% 51.40/51.63 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H126 | zenon_intro zenon_H50 ].
% 51.40/51.63 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hc9 ].
% 51.40/51.63 apply (zenon_L39_); trivial.
% 51.40/51.63 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hca ].
% 51.40/51.63 apply (zenon_L769_); trivial.
% 51.40/51.63 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H8b ].
% 51.40/51.63 apply (zenon_L41_); trivial.
% 51.40/51.63 apply (zenon_L24_); trivial.
% 51.40/51.63 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hc9 ].
% 51.40/51.63 apply (zenon_L39_); trivial.
% 51.40/51.63 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hca ].
% 51.40/51.63 apply (zenon_L773_); trivial.
% 51.40/51.63 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H8b ].
% 51.40/51.64 apply (zenon_L41_); trivial.
% 51.40/51.64 apply (zenon_L24_); trivial.
% 51.40/51.64 apply (zenon_L756_); trivial.
% 51.40/51.64 apply (zenon_L335_); trivial.
% 51.40/51.64 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H10a | zenon_intro zenon_H114 ].
% 51.40/51.64 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ].
% 51.40/51.64 apply (zenon_L7_); trivial.
% 51.40/51.64 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_H34 | zenon_intro zenon_H101 ].
% 51.40/51.64 apply (zenon_L774_); trivial.
% 51.40/51.64 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_H7c | zenon_intro zenon_He8 ].
% 51.40/51.64 apply (zenon_L75_); trivial.
% 51.40/51.64 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hfc ].
% 51.40/51.64 apply (zenon_L317_); trivial.
% 51.40/51.64 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H41 | zenon_intro zenon_Hfd ].
% 51.40/51.64 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H33 | zenon_intro zenon_H2e2 ].
% 51.40/51.64 apply (zenon_L81_); trivial.
% 51.40/51.64 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2e3 ].
% 51.40/51.64 apply (zenon_L283_); trivial.
% 51.40/51.64 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H126 | zenon_intro zenon_H50 ].
% 51.40/51.64 apply (zenon_L776_); trivial.
% 51.40/51.64 apply (zenon_L408_); trivial.
% 51.40/51.64 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_He2 | zenon_intro zenon_H66 ].
% 51.40/51.64 apply (zenon_L421_); trivial.
% 51.40/51.64 apply (zenon_L57_); trivial.
% 51.40/51.64 apply (zenon_L82_); trivial.
% 51.40/51.64 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H11a | zenon_intro zenon_H11c ].
% 51.40/51.64 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hc9 ].
% 51.40/51.64 apply (zenon_L39_); trivial.
% 51.40/51.64 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hca ].
% 51.40/51.64 apply (zenon_L778_); trivial.
% 51.40/51.64 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H8b ].
% 51.40/51.64 apply (zenon_L41_); trivial.
% 51.40/51.64 apply (zenon_L24_); trivial.
% 51.40/51.64 apply (zenon_L85_); trivial.
% 51.40/51.64 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H1d | zenon_intro zenon_H14b ].
% 51.40/51.64 apply (zenon_L4_); trivial.
% 51.40/51.64 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H22 | zenon_intro zenon_H4e ].
% 51.40/51.64 apply (zenon_L109_); trivial.
% 51.40/51.64 apply (zenon_L47_); trivial.
% 51.40/51.64 (* end of lemma zenon_L779_ *)
% 51.40/51.64 assert (zenon_L780_ : (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e22) (e20)) = (e22)) -> ((op2 (e20) (e23)) = (e22)) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e13)) = (e23)) -> (~((h4 (op1 (e13) (e10))) = (op2 (h4 (e13)) (h4 (e10))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (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)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e13))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> False).
% 51.40/51.64 do 0 intro. intros zenon_H21f zenon_H1fd zenon_H14e zenon_H217 zenon_H262 zenon_H176 zenon_H175 zenon_H15e zenon_H13b zenon_H31b zenon_H13 zenon_H14 zenon_H2ea zenon_H3f8 zenon_H2e0 zenon_H2db zenon_H311 zenon_H30d zenon_H327 zenon_H324 zenon_H2d4 zenon_H2ba zenon_H1b zenon_H19 zenon_Hb8 zenon_H136 zenon_Hc8 zenon_Hea zenon_Hcf zenon_Hfb zenon_Ha2 zenon_H65 zenon_H95 zenon_H45 zenon_Hf8 zenon_Hff zenon_H113 zenon_H123 zenon_H131 zenon_H125 zenon_H128 zenon_H3d zenon_He1 zenon_H12c zenon_H9e zenon_H42 zenon_H4b zenon_Hb5 zenon_Hf3 zenon_Hc2 zenon_Hec zenon_Hf0 zenon_Hcb zenon_H90 zenon_H10b zenon_H2b zenon_Hfe zenon_H105 zenon_H117 zenon_H8c zenon_Haf zenon_H72 zenon_H7d zenon_H10e zenon_H54 zenon_Hf6 zenon_Hb0 zenon_H24 zenon_H135 zenon_Hde zenon_H35 zenon_Hab zenon_Hd3 zenon_H2c zenon_H1c zenon_Hda.
% 51.40/51.64 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H1fe | zenon_intro zenon_H220 ].
% 51.40/51.64 apply (zenon_L151_); trivial.
% 51.40/51.64 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H218 | zenon_intro zenon_H221 ].
% 51.40/51.64 apply (zenon_L156_); trivial.
% 51.40/51.64 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H21c | zenon_intro zenon_H1cd ].
% 51.40/51.64 apply (zenon_L197_); trivial.
% 51.40/51.64 apply (zenon_L779_); trivial.
% 51.40/51.64 (* end of lemma zenon_L780_ *)
% 51.40/51.64 assert (zenon_L781_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((e22) = (e23))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> ((op2 (e20) (e20)) = (e20)) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((e20) = (e23))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e20) = (e22))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((e21) = (e23))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e13)) = (e23)) -> (~((h4 (op1 (e13) (e10))) = (op2 (h4 (e13)) (h4 (e10))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (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)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e13))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> False).
% 51.40/51.64 do 0 intro. intros zenon_H2a5 zenon_H2b7 zenon_H1ac zenon_H24b zenon_H209 zenon_H14 zenon_H23c zenon_H21b zenon_H2b6 zenon_H259 zenon_H13c zenon_H24e zenon_H240 zenon_H214 zenon_H1ec zenon_H1e6 zenon_H1cc zenon_H1f3 zenon_H217 zenon_H1fd zenon_H21f zenon_H1a7 zenon_H15e zenon_H18e zenon_H187 zenon_H1fa zenon_H210 zenon_H1d7 zenon_H1bd zenon_H1b1 zenon_H245 zenon_H205 zenon_H19b zenon_H16f zenon_H22f zenon_H254 zenon_H1f7 zenon_H258 zenon_H262 zenon_H13b zenon_H31b zenon_H13 zenon_H2ea zenon_H3f8 zenon_H2e0 zenon_H2db zenon_H311 zenon_H30d zenon_H327 zenon_H324 zenon_H2d4 zenon_H2ba zenon_H1b zenon_H19 zenon_Hb8 zenon_H136 zenon_Hc8 zenon_Hea zenon_Hcf zenon_Hfb zenon_Ha2 zenon_H65 zenon_H95 zenon_H45 zenon_Hf8 zenon_Hff zenon_H113 zenon_H123 zenon_H131 zenon_H125 zenon_H128 zenon_H3d zenon_He1 zenon_H12c zenon_H9e zenon_H42 zenon_H4b zenon_Hb5 zenon_Hf3 zenon_Hc2 zenon_Hec zenon_Hf0 zenon_Hcb zenon_H90 zenon_H10b zenon_H2b zenon_Hfe zenon_H105 zenon_H117 zenon_H8c zenon_Haf zenon_H72 zenon_H7d zenon_H10e zenon_H54 zenon_Hf6 zenon_Hb0 zenon_H24 zenon_H135 zenon_Hde zenon_H35 zenon_Hab zenon_Hd3 zenon_H2c zenon_H1c zenon_Hda zenon_H36d zenon_H36a zenon_H164 zenon_H22b zenon_H222 zenon_H15d zenon_H28e zenon_H168 zenon_H28d zenon_H195 zenon_H14e.
% 51.40/51.64 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_H237 | zenon_intro zenon_H2a8 ].
% 51.40/51.64 apply (zenon_L259_); trivial.
% 51.40/51.64 apply (zenon_or_s _ _ zenon_H2a8); [ zenon_intro zenon_H25e | zenon_intro zenon_H2a9 ].
% 51.40/51.64 apply (zenon_L280_); trivial.
% 51.40/51.64 apply (zenon_or_s _ _ zenon_H2a9); [ zenon_intro zenon_H293 | zenon_intro zenon_H295 ].
% 51.40/51.64 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H15f | zenon_intro zenon_H28f ].
% 51.40/51.64 apply (zenon_L116_); trivial.
% 51.40/51.64 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H165 | zenon_intro zenon_H290 ].
% 51.40/51.64 apply (zenon_L117_); trivial.
% 51.40/51.64 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H169 | zenon_intro zenon_H175 ].
% 51.40/51.64 apply (zenon_L118_); trivial.
% 51.40/51.64 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H15f | zenon_intro zenon_H291 ].
% 51.40/51.64 apply (zenon_L116_); trivial.
% 51.40/51.64 apply (zenon_or_s _ _ zenon_H291); [ zenon_intro zenon_H16e | zenon_intro zenon_H292 ].
% 51.40/51.64 apply (zenon_L533_); trivial.
% 51.40/51.64 apply (zenon_or_s _ _ zenon_H292); [ zenon_intro zenon_H176 | zenon_intro zenon_H21c ].
% 51.40/51.64 apply (zenon_L780_); trivial.
% 51.40/51.64 apply (zenon_L534_); trivial.
% 51.40/51.64 apply (zenon_L234_); trivial.
% 51.40/51.64 (* end of lemma zenon_L781_ *)
% 51.40/51.64 assert (zenon_L782_ : (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((op2 (e21) (e20)) = (e20)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((e10) = (e11))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((e11) = (e12))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((e10) = (e13))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e13))) -> (~((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 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((h4 (op1 (e13) (e10))) = (op2 (h4 (e13)) (h4 (e10))))) -> ((h4 (e13)) = (e23)) -> ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> ((e21) = (op2 (e23) (e23))) -> (~((e21) = (e23))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((e20) = (e21))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((op2 (e20) (e20)) = (e21)) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((e20) = (e23))) -> ((op2 (e20) (e22)) = (e20)) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e22) = (e23))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> False).
% 51.40/51.64 do 0 intro. intros zenon_H28d zenon_H164 zenon_H168 zenon_H28e zenon_H15d zenon_H16d zenon_Hda zenon_H1c zenon_H2c zenon_Hd3 zenon_Hab zenon_H35 zenon_Hde zenon_H135 zenon_H24 zenon_Hb0 zenon_Hf6 zenon_H54 zenon_H10e zenon_H7d zenon_H72 zenon_Haf zenon_H8c zenon_H117 zenon_H105 zenon_Hfe zenon_H2b zenon_H10b zenon_H90 zenon_Hcb zenon_Hf0 zenon_Hec zenon_Hc2 zenon_Hf3 zenon_Hb5 zenon_H4b zenon_H42 zenon_H9e zenon_H12c zenon_He1 zenon_H3d zenon_H128 zenon_H125 zenon_H131 zenon_H123 zenon_H113 zenon_Hff zenon_Hf8 zenon_H45 zenon_H95 zenon_H65 zenon_Ha2 zenon_Hfb zenon_Hcf zenon_Hea zenon_Hc8 zenon_H136 zenon_Hb8 zenon_H19 zenon_H1b zenon_H2ba zenon_H2d4 zenon_H324 zenon_H327 zenon_H30d zenon_H311 zenon_H2db zenon_H2e0 zenon_H3f8 zenon_H2ea zenon_H13 zenon_H31b zenon_H13b zenon_H262 zenon_H258 zenon_H14e zenon_H1f7 zenon_H254 zenon_H22f zenon_H16f zenon_H245 zenon_H1b1 zenon_H1bd zenon_H1d7 zenon_H21b zenon_H23c zenon_H209 zenon_H24b zenon_H210 zenon_H1fa zenon_H1a7 zenon_H21f zenon_H1fd zenon_H217 zenon_H1f3 zenon_H1cc zenon_H1e6 zenon_H1ec zenon_H214 zenon_H240 zenon_H24e zenon_H237 zenon_H259 zenon_H205 zenon_H156 zenon_H19b zenon_H1ac zenon_H187 zenon_H18e zenon_H15e zenon_H14 zenon_H195.
% 51.40/51.64 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H15f | zenon_intro zenon_H28f ].
% 51.40/51.64 apply (zenon_L116_); trivial.
% 51.40/51.64 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H165 | zenon_intro zenon_H290 ].
% 51.40/51.64 apply (zenon_L117_); trivial.
% 51.40/51.64 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H169 | zenon_intro zenon_H175 ].
% 51.40/51.64 apply (zenon_L118_); trivial.
% 51.40/51.64 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H15f | zenon_intro zenon_H291 ].
% 51.40/51.64 apply (zenon_L116_); trivial.
% 51.40/51.64 apply (zenon_or_s _ _ zenon_H291); [ zenon_intro zenon_H16e | zenon_intro zenon_H292 ].
% 51.40/51.64 apply (zenon_L120_); trivial.
% 51.40/51.64 apply (zenon_or_s _ _ zenon_H292); [ zenon_intro zenon_H176 | zenon_intro zenon_H21c ].
% 51.40/51.64 apply (zenon_L780_); trivial.
% 51.40/51.64 apply (zenon_L195_); trivial.
% 51.40/51.64 (* end of lemma zenon_L782_ *)
% 51.40/51.64 assert (zenon_L783_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((e10) = (e11))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((e11) = (e12))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((e10) = (e13))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e13))) -> (~((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 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((h4 (op1 (e13) (e10))) = (op2 (h4 (e13)) (h4 (e10))))) -> ((h4 (e13)) = (e23)) -> ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e22) (e20)) = (e20)) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (e23) (e21)) = (e20)) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e20) = (e22))) -> (~((e20) = (e23))) -> (~((e22) = (e23))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((e21) = (e23))) -> ((e21) = (op2 (e23) (e23))) -> False).
% 51.40/51.64 do 0 intro. intros zenon_H222 zenon_Hda zenon_H1c zenon_H2c zenon_Hd3 zenon_Hab zenon_H35 zenon_Hde zenon_H135 zenon_H24 zenon_Hb0 zenon_Hf6 zenon_H54 zenon_H10e zenon_H7d zenon_H72 zenon_Haf zenon_H8c zenon_H117 zenon_H105 zenon_Hfe zenon_H2b zenon_H10b zenon_H90 zenon_Hcb zenon_Hf0 zenon_Hec zenon_Hc2 zenon_Hf3 zenon_Hb5 zenon_H4b zenon_H42 zenon_H9e zenon_H12c zenon_He1 zenon_H3d zenon_H128 zenon_H125 zenon_H131 zenon_H123 zenon_H113 zenon_Hff zenon_Hf8 zenon_H45 zenon_H95 zenon_H65 zenon_Ha2 zenon_Hfb zenon_Hcf zenon_Hea zenon_Hc8 zenon_H136 zenon_Hb8 zenon_H19 zenon_H1b zenon_H2ba zenon_H2d4 zenon_H324 zenon_H327 zenon_H30d zenon_H311 zenon_H2db zenon_H2e0 zenon_H3f8 zenon_H2ea zenon_H13 zenon_H31b zenon_H13b zenon_H209 zenon_H1fd zenon_H214 zenon_H210 zenon_H254 zenon_H266 zenon_H285 zenon_H27c zenon_H203 zenon_H14 zenon_H280 zenon_H27f zenon_H1d7 zenon_H267 zenon_H1ec zenon_H175 zenon_H195 zenon_H22f zenon_H16f zenon_H205 zenon_H1ac zenon_H1fa zenon_H283 zenon_H1f7 zenon_H14e.
% 51.40/51.64 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1cd | zenon_intro zenon_H223 ].
% 51.40/51.64 apply (zenon_L779_); trivial.
% 51.40/51.64 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H204 | zenon_intro zenon_H224 ].
% 51.40/51.64 apply (zenon_L155_); trivial.
% 51.40/51.64 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H21d | zenon_intro zenon_H1f8 ].
% 51.40/51.64 apply (zenon_L249_); trivial.
% 51.40/51.64 apply (zenon_L149_); trivial.
% 51.40/51.64 (* end of lemma zenon_L783_ *)
% 51.40/51.64 assert (zenon_L784_ : (~((e21) = (e23))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e22) = (e23))) -> (~((e20) = (e23))) -> (~((e20) = (e22))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> ((op2 (e22) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e13)) = (e23)) -> (~((h4 (op1 (e13) (e10))) = (op2 (h4 (e13)) (h4 (e10))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (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)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e13))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (~((e20) = (e21))) -> False).
% 51.40/51.64 do 0 intro. intros zenon_H1f7 zenon_H283 zenon_H1fa zenon_H1ac zenon_H205 zenon_H16f zenon_H22f zenon_H195 zenon_H175 zenon_H1ec zenon_H267 zenon_H1d7 zenon_H27f zenon_H280 zenon_H27c zenon_H285 zenon_H266 zenon_H254 zenon_H214 zenon_H1fd zenon_H13b zenon_H31b zenon_H13 zenon_H2ea zenon_H3f8 zenon_H2e0 zenon_H2db zenon_H311 zenon_H30d zenon_H327 zenon_H324 zenon_H2d4 zenon_H2ba zenon_H1b zenon_H19 zenon_Hb8 zenon_H136 zenon_Hc8 zenon_Hea zenon_Hcf zenon_Hfb zenon_Ha2 zenon_H65 zenon_H95 zenon_H45 zenon_Hf8 zenon_Hff zenon_H113 zenon_H123 zenon_H131 zenon_H125 zenon_H128 zenon_H3d zenon_He1 zenon_H12c zenon_H9e zenon_H42 zenon_H4b zenon_Hb5 zenon_Hf3 zenon_Hc2 zenon_Hec zenon_Hf0 zenon_Hcb zenon_H90 zenon_H10b zenon_H2b zenon_Hfe zenon_H105 zenon_H117 zenon_H8c zenon_Haf zenon_H72 zenon_H7d zenon_H10e zenon_H54 zenon_Hf6 zenon_Hb0 zenon_H24 zenon_H135 zenon_Hde zenon_H35 zenon_Hab zenon_Hd3 zenon_H2c zenon_H1c zenon_Hda zenon_H222 zenon_H209 zenon_H14 zenon_H14e zenon_H210.
% 51.40/51.64 apply (zenon_or_s _ _ zenon_H214); [ zenon_intro zenon_H1fe | zenon_intro zenon_H215 ].
% 51.40/51.64 apply (zenon_L151_); trivial.
% 51.40/51.64 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H203 | zenon_intro zenon_H216 ].
% 51.40/51.64 apply (zenon_L783_); trivial.
% 51.40/51.64 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H208 | zenon_intro zenon_H20f ].
% 51.40/51.64 apply (zenon_L153_); trivial.
% 51.40/51.64 apply (zenon_L154_); trivial.
% 51.40/51.64 (* end of lemma zenon_L784_ *)
% 51.40/51.64 assert (zenon_L785_ : (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((e20) = (e21))) -> ((e21) = (op2 (e23) (e23))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((e10) = (e11))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((e11) = (e12))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((e10) = (e13))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e13))) -> (~((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 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((h4 (op1 (e13) (e10))) = (op2 (h4 (e13)) (h4 (e10))))) -> ((h4 (e13)) = (e23)) -> ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e20) = (e22))) -> (~((e20) = (e23))) -> (~((e22) = (e23))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((e21) = (e23))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e21)) = (e20)) -> ((op2 (e21) (e23)) = (e23)) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e22) (e21)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e21) (e22)) = (e22)) -> ((op2 (e22) (e23)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e23) (e22)) = (e23)) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> False).
% 51.40/51.64 do 0 intro. intros zenon_H273 zenon_H210 zenon_H14e zenon_H14 zenon_H209 zenon_H222 zenon_Hda zenon_H1c zenon_H2c zenon_Hd3 zenon_Hab zenon_H35 zenon_Hde zenon_H135 zenon_H24 zenon_Hb0 zenon_Hf6 zenon_H54 zenon_H10e zenon_H7d zenon_H72 zenon_Haf zenon_H8c zenon_H117 zenon_H105 zenon_Hfe zenon_H2b zenon_H10b zenon_H90 zenon_Hcb zenon_Hf0 zenon_Hec zenon_Hc2 zenon_Hf3 zenon_Hb5 zenon_H4b zenon_H42 zenon_H9e zenon_H12c zenon_He1 zenon_H3d zenon_H128 zenon_H125 zenon_H131 zenon_H123 zenon_H113 zenon_Hff zenon_Hf8 zenon_H45 zenon_H95 zenon_H65 zenon_Ha2 zenon_Hfb zenon_Hcf zenon_Hea zenon_Hc8 zenon_H136 zenon_Hb8 zenon_H19 zenon_H1b zenon_H2ba zenon_H2d4 zenon_H324 zenon_H327 zenon_H30d zenon_H311 zenon_H2db zenon_H2e0 zenon_H3f8 zenon_H2ea zenon_H13 zenon_H31b zenon_H13b zenon_H1fd zenon_H214 zenon_H254 zenon_H285 zenon_H27c zenon_H280 zenon_H27f zenon_H1ec zenon_H22f zenon_H16f zenon_H205 zenon_H1ac zenon_H1fa zenon_H283 zenon_H1f7 zenon_H26d zenon_H203 zenon_H1bc zenon_H1bd zenon_H226 zenon_H225 zenon_H1d7 zenon_H267 zenon_H17f zenon_H1c9 zenon_H1b1 zenon_H21d zenon_H175 zenon_H195.
% 51.40/51.64 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H266 | zenon_intro zenon_H274 ].
% 51.40/51.64 apply (zenon_L784_); trivial.
% 51.40/51.64 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H26e | zenon_intro zenon_H275 ].
% 51.40/51.64 apply (zenon_L205_); trivial.
% 51.40/51.64 apply (zenon_or_s _ _ zenon_H275); [ zenon_intro zenon_H176 | zenon_intro zenon_H252 ].
% 51.40/51.64 apply (zenon_L161_); trivial.
% 51.40/51.64 apply (zenon_L206_); trivial.
% 51.40/51.64 (* end of lemma zenon_L785_ *)
% 51.40/51.64 assert (zenon_L786_ : ((op2 (e23) (e20)) = (e22)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((e20) = (e21))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((e10) = (e11))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((e11) = (e12))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((e10) = (e13))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e13))) -> (~((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 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((h4 (op1 (e13) (e10))) = (op2 (h4 (e13)) (h4 (e10))))) -> ((h4 (e13)) = (e23)) -> ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e20) = (e22))) -> (~((e20) = (e23))) -> (~((e22) = (e23))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e21)) = (e20)) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e22) (e21)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e22) (e23)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((e21) = (e23))) -> ((e21) = (op2 (e23) (e23))) -> False).
% 51.40/51.65 do 0 intro. intros zenon_H21c zenon_H1d7 zenon_H267 zenon_H17f zenon_H1ec zenon_H175 zenon_H195 zenon_H273 zenon_H210 zenon_H14 zenon_H209 zenon_H222 zenon_Hda zenon_H1c zenon_H2c zenon_Hd3 zenon_Hab zenon_H35 zenon_Hde zenon_H135 zenon_H24 zenon_Hb0 zenon_Hf6 zenon_H54 zenon_H10e zenon_H7d zenon_H72 zenon_Haf zenon_H8c zenon_H117 zenon_H105 zenon_Hfe zenon_H2b zenon_H10b zenon_H90 zenon_Hcb zenon_Hf0 zenon_Hec zenon_Hc2 zenon_Hf3 zenon_Hb5 zenon_H4b zenon_H42 zenon_H9e zenon_H12c zenon_He1 zenon_H3d zenon_H128 zenon_H125 zenon_H131 zenon_H123 zenon_H113 zenon_Hff zenon_Hf8 zenon_H45 zenon_H95 zenon_H65 zenon_Ha2 zenon_Hfb zenon_Hcf zenon_Hea zenon_Hc8 zenon_H136 zenon_Hb8 zenon_H19 zenon_H1b zenon_H2ba zenon_H2d4 zenon_H324 zenon_H327 zenon_H30d zenon_H311 zenon_H2db zenon_H2e0 zenon_H3f8 zenon_H2ea zenon_H13 zenon_H31b zenon_H13b zenon_H1fd zenon_H214 zenon_H254 zenon_H285 zenon_H27c zenon_H280 zenon_H27f zenon_H22f zenon_H16f zenon_H205 zenon_H1ac zenon_H1fa zenon_H283 zenon_H26d zenon_H203 zenon_H1bd zenon_H226 zenon_H225 zenon_H1c9 zenon_H1b1 zenon_H1f7 zenon_H14e.
% 51.40/51.65 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1cd | zenon_intro zenon_H223 ].
% 51.40/51.65 apply (zenon_L192_); trivial.
% 51.40/51.65 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H204 | zenon_intro zenon_H224 ].
% 51.40/51.65 apply (zenon_L152_); trivial.
% 51.40/51.65 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H21d | zenon_intro zenon_H1f8 ].
% 51.40/51.65 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H1ab | zenon_intro zenon_H1fb ].
% 51.40/51.65 apply (zenon_L132_); trivial.
% 51.40/51.65 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H1bc | zenon_intro zenon_H1fc ].
% 51.40/51.65 apply (zenon_L785_); trivial.
% 51.40/51.65 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H1f8 ].
% 51.40/51.65 apply (zenon_L202_); trivial.
% 51.40/51.65 apply (zenon_L149_); trivial.
% 51.40/51.65 apply (zenon_L149_); trivial.
% 51.40/51.65 (* end of lemma zenon_L786_ *)
% 51.40/51.65 assert (zenon_L787_ : ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((op2 (e21) (e20)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((e21) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e22) (e21)) = (e22)) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e21)) = (e20)) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e22) = (e23))) -> (~((e20) = (e23))) -> (~((e20) = (e22))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e13)) = (e23)) -> (~((h4 (op1 (e13) (e10))) = (op2 (h4 (e13)) (h4 (e10))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (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)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e13))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e20)) = (e22)) -> ((e21) = (op2 (e23) (e23))) -> (~((e20) = (e21))) -> False).
% 51.40/51.65 do 0 intro. intros zenon_H15e zenon_H18e zenon_H187 zenon_H19b zenon_H16d zenon_H1a7 zenon_H1f7 zenon_H1b1 zenon_H225 zenon_H226 zenon_H1bd zenon_H203 zenon_H26d zenon_H283 zenon_H1fa zenon_H1ac zenon_H205 zenon_H16f zenon_H22f zenon_H27f zenon_H280 zenon_H27c zenon_H285 zenon_H254 zenon_H214 zenon_H1fd zenon_H13b zenon_H31b zenon_H13 zenon_H2ea zenon_H3f8 zenon_H2e0 zenon_H2db zenon_H311 zenon_H30d zenon_H327 zenon_H324 zenon_H2d4 zenon_H2ba zenon_H1b zenon_H19 zenon_Hb8 zenon_H136 zenon_Hc8 zenon_Hea zenon_Hcf zenon_Hfb zenon_Ha2 zenon_H65 zenon_H95 zenon_H45 zenon_Hf8 zenon_Hff zenon_H113 zenon_H123 zenon_H131 zenon_H125 zenon_H128 zenon_H3d zenon_He1 zenon_H12c zenon_H9e zenon_H42 zenon_H4b zenon_Hb5 zenon_Hf3 zenon_Hc2 zenon_Hec zenon_Hf0 zenon_Hcb zenon_H90 zenon_H10b zenon_H2b zenon_Hfe zenon_H105 zenon_H117 zenon_H8c zenon_Haf zenon_H72 zenon_H7d zenon_H10e zenon_H54 zenon_Hf6 zenon_Hb0 zenon_H24 zenon_H135 zenon_Hde zenon_H35 zenon_Hab zenon_Hd3 zenon_H2c zenon_H1c zenon_Hda zenon_H222 zenon_H209 zenon_H14 zenon_H273 zenon_H195 zenon_H175 zenon_H1ec zenon_H17f zenon_H267 zenon_H1d7 zenon_H21c zenon_H14e zenon_H210.
% 51.40/51.65 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H235 ].
% 51.40/51.65 apply (zenon_L183_); trivial.
% 51.40/51.65 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H1a8 | zenon_intro zenon_H236 ].
% 51.40/51.65 apply (zenon_L130_); trivial.
% 51.40/51.65 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1c9 | zenon_intro zenon_H20f ].
% 51.40/51.65 apply (zenon_L786_); trivial.
% 51.40/51.65 apply (zenon_L154_); trivial.
% 51.40/51.65 (* end of lemma zenon_L787_ *)
% 51.40/51.65 assert (zenon_L788_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((e10) = (e11))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((e11) = (e12))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((e10) = (e13))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e13))) -> (~((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 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((h4 (op1 (e13) (e10))) = (op2 (h4 (e13)) (h4 (e10))))) -> ((h4 (e13)) = (e23)) -> ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((e20) = (e21))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((e20) = (e23))) -> (~((e20) = (e22))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e21)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e22) (e22)) = (e22)) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((e22) = (e23))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e21) = (e23))) -> ((e21) = (op2 (e23) (e23))) -> False).
% 51.40/51.65 do 0 intro. intros zenon_H222 zenon_Hda zenon_H1c zenon_H2c zenon_Hd3 zenon_Hab zenon_H35 zenon_Hde zenon_H135 zenon_H24 zenon_Hb0 zenon_Hf6 zenon_H54 zenon_H10e zenon_H7d zenon_H72 zenon_Haf zenon_H8c zenon_H117 zenon_H105 zenon_Hfe zenon_H2b zenon_H10b zenon_H90 zenon_Hcb zenon_Hf0 zenon_Hec zenon_Hc2 zenon_Hf3 zenon_Hb5 zenon_H4b zenon_H42 zenon_H9e zenon_H12c zenon_He1 zenon_H3d zenon_H128 zenon_H125 zenon_H131 zenon_H123 zenon_H113 zenon_Hff zenon_Hf8 zenon_H45 zenon_H95 zenon_H65 zenon_Ha2 zenon_Hfb zenon_Hcf zenon_Hea zenon_Hc8 zenon_H136 zenon_Hb8 zenon_H19 zenon_H1b zenon_H2ba zenon_H2d4 zenon_H324 zenon_H327 zenon_H30d zenon_H311 zenon_H2db zenon_H2e0 zenon_H3f8 zenon_H2ea zenon_H13 zenon_H31b zenon_H13b zenon_H285 zenon_H210 zenon_H273 zenon_H254 zenon_H205 zenon_H16f zenon_H22f zenon_H26d zenon_H203 zenon_H19f zenon_H14 zenon_H19e zenon_H15e zenon_H1bd zenon_H1b1 zenon_H19b zenon_H187 zenon_H18e zenon_H27c zenon_H1f3 zenon_H280 zenon_H27f zenon_H195 zenon_H175 zenon_H1ec zenon_H267 zenon_H1d7 zenon_H283 zenon_H1ac zenon_H1fa zenon_H1f7 zenon_H14e.
% 51.40/51.65 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1cd | zenon_intro zenon_H223 ].
% 51.40/51.65 apply (zenon_L779_); trivial.
% 51.40/51.65 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H204 | zenon_intro zenon_H224 ].
% 51.40/51.65 apply (zenon_L152_); trivial.
% 51.40/51.65 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H21d | zenon_intro zenon_H1f8 ].
% 51.40/51.65 apply (zenon_L218_); trivial.
% 51.40/51.65 apply (zenon_L149_); trivial.
% 51.40/51.65 (* end of lemma zenon_L788_ *)
% 51.40/51.65 assert (zenon_L789_ : (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> ((op2 (e23) (e20)) = (e22)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e21) (e20)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> ((e21) = (op2 (e23) (e23))) -> (~((e21) = (e23))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e22) = (e23))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((op2 (e21) (e20)) = (e21)) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (e23) (e21)) = (e20)) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e20) = (e22))) -> (~((e20) = (e23))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((e20) = (e21))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e13)) = (e23)) -> (~((h4 (op1 (e13) (e10))) = (op2 (h4 (e13)) (h4 (e10))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (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)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e13))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> False).
% 51.40/51.65 do 0 intro. intros zenon_H2af zenon_H262 zenon_H217 zenon_H21f zenon_H21c zenon_H21b zenon_H16d zenon_H1a7 zenon_H225 zenon_H214 zenon_H1fd zenon_H209 zenon_H168 zenon_H230 zenon_H14e zenon_H1f7 zenon_H1fa zenon_H1ac zenon_H283 zenon_H1d7 zenon_H267 zenon_H1ec zenon_H175 zenon_H195 zenon_H27f zenon_H280 zenon_H1f3 zenon_H27c zenon_H187 zenon_H19b zenon_H1b1 zenon_H1bd zenon_H19f zenon_H203 zenon_H26d zenon_H22f zenon_H16f zenon_H205 zenon_H254 zenon_H273 zenon_H210 zenon_H285 zenon_H13b zenon_H31b zenon_H13 zenon_H2ea zenon_H3f8 zenon_H2e0 zenon_H2db zenon_H311 zenon_H30d zenon_H327 zenon_H324 zenon_H2d4 zenon_H2ba zenon_H1b zenon_H19 zenon_Hb8 zenon_H136 zenon_Hc8 zenon_Hea zenon_Hcf zenon_Hfb zenon_Ha2 zenon_H65 zenon_H95 zenon_H45 zenon_Hf8 zenon_Hff zenon_H113 zenon_H123 zenon_H131 zenon_H125 zenon_H128 zenon_H3d zenon_He1 zenon_H12c zenon_H9e zenon_H42 zenon_H4b zenon_Hb5 zenon_Hf3 zenon_Hc2 zenon_Hec zenon_Hf0 zenon_Hcb zenon_H90 zenon_H10b zenon_H2b zenon_Hfe zenon_H105 zenon_H117 zenon_H8c zenon_Haf zenon_H72 zenon_H7d zenon_H10e zenon_H54 zenon_Hf6 zenon_Hb0 zenon_H24 zenon_H135 zenon_Hde zenon_H35 zenon_Hab zenon_Hd3 zenon_H2c zenon_H1c zenon_Hda zenon_H222 zenon_H15e zenon_H14 zenon_H18e.
% 51.40/51.65 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H176 | zenon_intro zenon_H2b2 ].
% 51.40/51.65 apply (zenon_L780_); trivial.
% 51.40/51.65 apply (zenon_or_s _ _ zenon_H2b2); [ zenon_intro zenon_H226 | zenon_intro zenon_H2b3 ].
% 51.40/51.65 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H169 | zenon_intro zenon_H233 ].
% 51.40/51.65 apply (zenon_L118_); trivial.
% 51.40/51.65 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H17f | zenon_intro zenon_H234 ].
% 51.40/51.65 apply (zenon_L787_); trivial.
% 51.40/51.65 apply (zenon_or_s _ _ zenon_H234); [ zenon_intro zenon_H19e | zenon_intro zenon_H1d8 ].
% 51.40/51.65 apply (zenon_L788_); trivial.
% 51.40/51.65 apply (zenon_L157_); trivial.
% 51.40/51.65 apply (zenon_or_s _ _ zenon_H2b3); [ zenon_intro zenon_H19e | zenon_intro zenon_H18d ].
% 51.40/51.65 apply (zenon_L788_); trivial.
% 51.40/51.65 apply (zenon_L125_); trivial.
% 51.40/51.65 (* end of lemma zenon_L789_ *)
% 51.40/51.65 assert (zenon_L790_ : (~((h4 (op1 (e13) (e11))) = (op2 (h4 (e13)) (h4 (e11))))) -> ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) -> ((op1 (e13) (e11)) = (e10)) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((h4 (e13)) = (e23)) -> False).
% 51.40/51.65 do 0 intro. intros zenon_H3fe zenon_H13 zenon_Hbe zenon_H2e7 zenon_H2ea.
% 51.40/51.65 cut (((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) = ((h4 (op1 (e13) (e11))) = (op2 (h4 (e13)) (h4 (e11))))).
% 51.40/51.65 intro zenon_D_pnotp.
% 51.40/51.65 apply zenon_H3fe.
% 51.40/51.65 rewrite <- zenon_D_pnotp.
% 51.40/51.65 exact zenon_H13.
% 51.40/51.65 cut (((op2 (e23) (op2 (e23) (e23))) = (op2 (h4 (e13)) (h4 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H3ff].
% 51.40/51.65 cut (((h4 (e10)) = (h4 (op1 (e13) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H400].
% 51.40/51.65 congruence.
% 51.40/51.65 elim (classic ((h4 (op1 (e13) (e11))) = (h4 (op1 (e13) (e11))))); [ zenon_intro zenon_H401 | zenon_intro zenon_H402 ].
% 51.40/51.65 cut (((h4 (op1 (e13) (e11))) = (h4 (op1 (e13) (e11)))) = ((h4 (e10)) = (h4 (op1 (e13) (e11))))).
% 51.40/51.65 intro zenon_D_pnotp.
% 51.40/51.65 apply zenon_H400.
% 51.40/51.65 rewrite <- zenon_D_pnotp.
% 51.40/51.65 exact zenon_H401.
% 51.40/51.65 cut (((h4 (op1 (e13) (e11))) = (h4 (op1 (e13) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H402].
% 51.40/51.65 cut (((h4 (op1 (e13) (e11))) = (h4 (e10)))); [idtac | apply NNPP; zenon_intro zenon_H403].
% 51.40/51.65 congruence.
% 51.40/51.65 cut (((op1 (e13) (e11)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H404].
% 51.40/51.65 congruence.
% 51.40/51.65 exact (zenon_H404 zenon_Hbe).
% 51.40/51.65 apply zenon_H402. apply refl_equal.
% 51.40/51.65 apply zenon_H402. apply refl_equal.
% 51.40/51.65 cut (((op2 (e23) (e23)) = (h4 (e11)))); [idtac | apply NNPP; zenon_intro zenon_H405].
% 51.40/51.65 cut (((e23) = (h4 (e13)))); [idtac | apply NNPP; zenon_intro zenon_H35d].
% 51.40/51.65 congruence.
% 51.40/51.65 apply zenon_H35d. apply sym_equal. exact zenon_H2ea.
% 51.40/51.65 apply zenon_H405. apply sym_equal. exact zenon_H2e7.
% 51.40/51.65 (* end of lemma zenon_L790_ *)
% 51.40/51.65 assert (zenon_L791_ : (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((h4 (e13)) = (e23)) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) -> (~((h4 (op1 (e13) (e11))) = (op2 (h4 (e13)) (h4 (e11))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> False).
% 51.40/51.65 do 0 intro. intros zenon_Hc8 zenon_Hb8 zenon_H2ea zenon_H2e7 zenon_H13 zenon_H3fe zenon_Hc2 zenon_H1c zenon_H19 zenon_H8c.
% 51.40/51.65 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hc9 ].
% 51.40/51.65 apply (zenon_L39_); trivial.
% 51.40/51.65 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hca ].
% 51.40/51.65 apply (zenon_L790_); trivial.
% 51.40/51.65 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H8b ].
% 51.40/51.65 apply (zenon_L41_); trivial.
% 51.40/51.65 apply (zenon_L24_); trivial.
% 51.40/51.65 (* end of lemma zenon_L791_ *)
% 51.40/51.65 assert (zenon_L792_ : ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((op1 (e13) (e12)) = (e12)) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((e22) = (h4 (op1 (e13) (e12))))) -> False).
% 51.40/51.65 do 0 intro. intros zenon_H349 zenon_Hf1 zenon_H15e zenon_H406.
% 51.40/51.65 elim (classic ((h4 (op1 (e13) (e12))) = (h4 (op1 (e13) (e12))))); [ zenon_intro zenon_H407 | zenon_intro zenon_H408 ].
% 51.40/51.65 cut (((h4 (op1 (e13) (e12))) = (h4 (op1 (e13) (e12)))) = ((e22) = (h4 (op1 (e13) (e12))))).
% 51.40/51.65 intro zenon_D_pnotp.
% 51.40/51.65 apply zenon_H406.
% 51.40/51.65 rewrite <- zenon_D_pnotp.
% 51.40/51.65 exact zenon_H407.
% 51.40/51.65 cut (((h4 (op1 (e13) (e12))) = (h4 (op1 (e13) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H408].
% 51.40/51.65 cut (((h4 (op1 (e13) (e12))) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H409].
% 51.40/51.65 congruence.
% 51.40/51.65 cut (((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) = ((h4 (op1 (e13) (e12))) = (e22))).
% 51.40/51.65 intro zenon_D_pnotp.
% 51.40/51.65 apply zenon_H409.
% 51.40/51.65 rewrite <- zenon_D_pnotp.
% 51.40/51.65 exact zenon_H349.
% 51.40/51.65 cut (((op2 (op2 (e23) (op2 (e23) (e23))) (e23)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H34a].
% 51.40/51.65 cut (((h4 (e12)) = (h4 (op1 (e13) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H40a].
% 51.40/51.65 congruence.
% 51.40/51.65 elim (classic ((h4 (op1 (e13) (e12))) = (h4 (op1 (e13) (e12))))); [ zenon_intro zenon_H407 | zenon_intro zenon_H408 ].
% 51.40/51.65 cut (((h4 (op1 (e13) (e12))) = (h4 (op1 (e13) (e12)))) = ((h4 (e12)) = (h4 (op1 (e13) (e12))))).
% 51.40/51.65 intro zenon_D_pnotp.
% 51.40/51.65 apply zenon_H40a.
% 51.40/51.65 rewrite <- zenon_D_pnotp.
% 51.40/51.65 exact zenon_H407.
% 51.40/51.65 cut (((h4 (op1 (e13) (e12))) = (h4 (op1 (e13) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H408].
% 51.40/51.65 cut (((h4 (op1 (e13) (e12))) = (h4 (e12)))); [idtac | apply NNPP; zenon_intro zenon_H40b].
% 51.40/51.65 congruence.
% 51.40/51.65 cut (((op1 (e13) (e12)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H40c].
% 51.40/51.65 congruence.
% 51.40/51.65 exact (zenon_H40c zenon_Hf1).
% 51.40/51.65 apply zenon_H408. apply refl_equal.
% 51.40/51.65 apply zenon_H408. apply refl_equal.
% 51.40/51.65 apply zenon_H34a. apply sym_equal. exact zenon_H15e.
% 51.40/51.65 apply zenon_H408. apply refl_equal.
% 51.40/51.65 apply zenon_H408. apply refl_equal.
% 51.40/51.65 (* end of lemma zenon_L792_ *)
% 51.40/51.65 assert (zenon_L793_ : ((op2 (e23) (e22)) = (e22)) -> ((h4 (e13)) = (e23)) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((op1 (e13) (e12)) = (e12)) -> (~((h4 (op1 (e13) (e12))) = (op2 (h4 (e13)) (h4 (e12))))) -> False).
% 51.40/51.65 do 0 intro. intros zenon_H1d8 zenon_H2ea zenon_H349 zenon_H15e zenon_Hf1 zenon_H40d.
% 51.40/51.65 elim (classic ((op2 (h4 (e13)) (h4 (e12))) = (op2 (h4 (e13)) (h4 (e12))))); [ zenon_intro zenon_H40e | zenon_intro zenon_H40f ].
% 51.40/51.65 cut (((op2 (h4 (e13)) (h4 (e12))) = (op2 (h4 (e13)) (h4 (e12)))) = ((h4 (op1 (e13) (e12))) = (op2 (h4 (e13)) (h4 (e12))))).
% 51.40/51.65 intro zenon_D_pnotp.
% 51.40/51.65 apply zenon_H40d.
% 51.40/51.65 rewrite <- zenon_D_pnotp.
% 51.40/51.65 exact zenon_H40e.
% 51.40/51.65 cut (((op2 (h4 (e13)) (h4 (e12))) = (op2 (h4 (e13)) (h4 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H40f].
% 51.40/51.65 cut (((op2 (h4 (e13)) (h4 (e12))) = (h4 (op1 (e13) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H410].
% 51.40/51.65 congruence.
% 51.40/51.65 cut (((op2 (e23) (e22)) = (e22)) = ((op2 (h4 (e13)) (h4 (e12))) = (h4 (op1 (e13) (e12))))).
% 51.40/51.65 intro zenon_D_pnotp.
% 51.40/51.65 apply zenon_H410.
% 51.40/51.65 rewrite <- zenon_D_pnotp.
% 51.40/51.65 exact zenon_H1d8.
% 51.40/51.65 cut (((e22) = (h4 (op1 (e13) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H406].
% 51.40/51.65 cut (((op2 (e23) (e22)) = (op2 (h4 (e13)) (h4 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H411].
% 51.40/51.65 congruence.
% 51.40/51.65 elim (classic ((op2 (h4 (e13)) (h4 (e12))) = (op2 (h4 (e13)) (h4 (e12))))); [ zenon_intro zenon_H40e | zenon_intro zenon_H40f ].
% 51.40/51.65 cut (((op2 (h4 (e13)) (h4 (e12))) = (op2 (h4 (e13)) (h4 (e12)))) = ((op2 (e23) (e22)) = (op2 (h4 (e13)) (h4 (e12))))).
% 51.40/51.65 intro zenon_D_pnotp.
% 51.40/51.65 apply zenon_H411.
% 51.40/51.65 rewrite <- zenon_D_pnotp.
% 51.40/51.65 exact zenon_H40e.
% 51.40/51.65 cut (((op2 (h4 (e13)) (h4 (e12))) = (op2 (h4 (e13)) (h4 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H40f].
% 51.40/51.65 cut (((op2 (h4 (e13)) (h4 (e12))) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H412].
% 51.40/51.65 congruence.
% 51.40/51.65 cut (((h4 (e12)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H348].
% 51.40/51.65 cut (((h4 (e13)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H399].
% 51.40/51.65 congruence.
% 51.40/51.65 exact (zenon_H399 zenon_H2ea).
% 51.40/51.65 apply (zenon_L487_); trivial.
% 51.40/51.65 apply zenon_H40f. apply refl_equal.
% 51.40/51.65 apply zenon_H40f. apply refl_equal.
% 51.40/51.65 apply (zenon_L792_); trivial.
% 51.40/51.65 apply zenon_H40f. apply refl_equal.
% 51.40/51.65 apply zenon_H40f. apply refl_equal.
% 51.40/51.65 (* end of lemma zenon_L793_ *)
% 51.40/51.65 assert (zenon_L794_ : (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e12) = (e13))) -> ((op1 (e13) (e10)) = (e13)) -> (~((e10) = (e12))) -> ((op1 (e13) (e11)) = (e10)) -> (~((h4 (op1 (e13) (e12))) = (op2 (h4 (e13)) (h4 (e12))))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e13)) = (e23)) -> ((op2 (e23) (e22)) = (e22)) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> False).
% 51.40/51.65 do 0 intro. intros zenon_H327 zenon_H4b zenon_H66 zenon_H35 zenon_Hbe zenon_H40d zenon_H15e zenon_H349 zenon_H2ea zenon_H1d8 zenon_H2c zenon_H1c zenon_Hda.
% 51.40/51.65 apply (zenon_or_s _ _ zenon_H327); [ zenon_intro zenon_He8 | zenon_intro zenon_H328 ].
% 51.40/51.65 apply (zenon_L57_); trivial.
% 51.40/51.65 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H2de | zenon_intro zenon_H329 ].
% 51.40/51.65 apply (zenon_L308_); trivial.
% 51.40/51.65 apply (zenon_or_s _ _ zenon_H329); [ zenon_intro zenon_Hf1 | zenon_intro zenon_Hd9 ].
% 51.40/51.65 apply (zenon_L793_); trivial.
% 51.40/51.65 apply (zenon_L46_); trivial.
% 51.40/51.65 (* end of lemma zenon_L794_ *)
% 51.40/51.65 assert (zenon_L795_ : (((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)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((e10) = (e13))) -> ((op1 (e13) (e11)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e12) (e13)) = (e10)) -> ((op1 (e12) (e10)) = (e13)) -> ((op1 (e11) (e13)) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e13))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e11))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e10) = (e12))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((h4 (op1 (e13) (e12))) = (op2 (h4 (e13)) (h4 (e12))))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e13)) = (e23)) -> ((op2 (e23) (e22)) = (e22)) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> False).
% 51.40/51.65 do 0 intro. intros zenon_H327 zenon_Hd3 zenon_Hab zenon_Hcf zenon_H4b zenon_H42 zenon_Hbe zenon_H7d zenon_H62 zenon_He2 zenon_H51 zenon_H54 zenon_He1 zenon_H3d zenon_Hde zenon_H8c zenon_H19 zenon_Hc2 zenon_H35 zenon_Hb8 zenon_Hc8 zenon_H40d zenon_H15e zenon_H349 zenon_H2ea zenon_H1d8 zenon_H2c zenon_H1c zenon_Hda.
% 51.40/51.65 apply (zenon_or_s _ _ zenon_H327); [ zenon_intro zenon_He8 | zenon_intro zenon_H328 ].
% 51.40/51.65 apply (zenon_L349_); trivial.
% 51.40/51.65 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H2de | zenon_intro zenon_H329 ].
% 51.40/51.65 apply (zenon_L309_); trivial.
% 51.40/51.65 apply (zenon_or_s _ _ zenon_H329); [ zenon_intro zenon_Hf1 | zenon_intro zenon_Hd9 ].
% 51.40/51.65 apply (zenon_L793_); trivial.
% 51.40/51.65 apply (zenon_L46_); trivial.
% 51.40/51.65 (* end of lemma zenon_L795_ *)
% 51.40/51.65 assert (zenon_L796_ : (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((op2 (e23) (e22)) = (e22)) -> ((h4 (e13)) = (e23)) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((h4 (op1 (e13) (e12))) = (op2 (h4 (e13)) (h4 (e12))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e12))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e13)) -> ((op1 (e12) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e13) (e11)) = (e10)) -> (~((e10) = (e13))) -> (~((e12) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> False).
% 51.40/51.65 do 0 intro. intros zenon_H90 zenon_Hda zenon_H1c zenon_H2c zenon_H1d8 zenon_H2ea zenon_H349 zenon_H15e zenon_H40d zenon_Hc8 zenon_Hb8 zenon_H35 zenon_Hc2 zenon_Hde zenon_H3d zenon_He1 zenon_H54 zenon_H51 zenon_He2 zenon_H7d zenon_Hbe zenon_H42 zenon_H4b zenon_Hcf zenon_Hab zenon_Hd3 zenon_H327 zenon_H19 zenon_H8c.
% 51.40/51.65 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H4e | zenon_intro zenon_H91 ].
% 51.40/51.65 apply (zenon_L47_); trivial.
% 51.40/51.65 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H50 | zenon_intro zenon_H92 ].
% 51.40/51.65 apply (zenon_L17_); trivial.
% 51.40/51.65 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H62 | zenon_intro zenon_H8b ].
% 51.40/51.65 apply (zenon_L795_); trivial.
% 51.40/51.65 apply (zenon_L24_); trivial.
% 51.40/51.65 (* end of lemma zenon_L796_ *)
% 51.40/51.65 assert (zenon_L797_ : (((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)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e12) (e10)) = (e13)) -> ((op1 (e11) (e13)) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e13))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((h4 (op1 (e13) (e12))) = (op2 (h4 (e13)) (h4 (e12))))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e13)) = (e23)) -> ((op2 (e23) (e22)) = (e22)) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> False).
% 51.40/51.65 do 0 intro. intros zenon_H327 zenon_Hd3 zenon_Hab zenon_Hcf zenon_H4b zenon_H42 zenon_H7d zenon_He2 zenon_H51 zenon_H54 zenon_He1 zenon_H3d zenon_Hde zenon_H35 zenon_Hb8 zenon_Hc8 zenon_H40d zenon_H15e zenon_H349 zenon_H2ea zenon_H1d8 zenon_H2c zenon_Hda zenon_H90 zenon_Hc2 zenon_H1c zenon_H19 zenon_H8c.
% 51.40/51.65 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hc9 ].
% 51.40/51.65 apply (zenon_L39_); trivial.
% 51.40/51.65 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hca ].
% 51.40/51.65 apply (zenon_L796_); trivial.
% 51.40/51.65 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H8b ].
% 51.40/51.65 apply (zenon_L41_); trivial.
% 51.40/51.65 apply (zenon_L24_); trivial.
% 51.40/51.65 (* end of lemma zenon_L797_ *)
% 51.40/51.65 assert (zenon_L798_ : ((op1 (e13) (e11)) = (e10)) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> ((op1 (e13) (e10)) = (e12)) -> (~((e10) = (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e10) = (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e10) (e10)) = (e11)) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e13)) = (e12)) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e10) = (e12))) -> (~((h4 (op1 (e13) (e12))) = (op2 (h4 (e13)) (h4 (e12))))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e13)) = (e23)) -> ((op2 (e23) (e22)) = (e22)) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e11) = (e13))) -> ((e11) = (op1 (e13) (e13))) -> False).
% 51.40/51.65 do 0 intro. intros zenon_Hbe zenon_Hde zenon_H9e zenon_H54 zenon_H95 zenon_Hcf zenon_H4b zenon_He8 zenon_H8c zenon_Hc2 zenon_H42 zenon_Hb8 zenon_Hc8 zenon_Hea zenon_H41 zenon_He1 zenon_Hb0 zenon_Hab zenon_Hd3 zenon_H2c zenon_H1c zenon_Hda zenon_H311 zenon_H123 zenon_H3b zenon_Hfb zenon_H10e zenon_Hb5 zenon_H30d zenon_H49 zenon_H327 zenon_H7d zenon_H35 zenon_H40d zenon_H15e zenon_H349 zenon_H2ea zenon_H1d8 zenon_H90 zenon_H3d zenon_H19.
% 51.40/51.65 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H66 | zenon_intro zenon_Hd0 ].
% 51.40/51.65 apply (zenon_L794_); trivial.
% 51.40/51.65 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hd1 ].
% 51.40/51.65 apply (zenon_L42_); trivial.
% 51.40/51.65 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hb3 ].
% 51.40/51.65 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H4a | zenon_intro zenon_Hb6 ].
% 51.40/51.65 apply (zenon_L335_); trivial.
% 51.40/51.65 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H51 | zenon_intro zenon_Hb7 ].
% 51.40/51.65 apply (zenon_or_s _ _ zenon_H311); [ zenon_intro zenon_H121 | zenon_intro zenon_H312 ].
% 51.40/51.65 apply (zenon_L98_); trivial.
% 51.40/51.65 apply (zenon_or_s _ _ zenon_H312); [ zenon_intro zenon_H10a | zenon_intro zenon_H313 ].
% 51.40/51.65 apply (zenon_L347_); trivial.
% 51.40/51.65 apply (zenon_or_s _ _ zenon_H313); [ zenon_intro zenon_H7c | zenon_intro zenon_He2 ].
% 51.40/51.65 apply (zenon_L341_); trivial.
% 51.40/51.65 apply (zenon_L797_); trivial.
% 51.40/51.65 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb3 ].
% 51.40/51.65 apply (zenon_L672_); trivial.
% 51.40/51.65 apply (zenon_L37_); trivial.
% 51.40/51.65 apply (zenon_L37_); trivial.
% 51.40/51.65 (* end of lemma zenon_L798_ *)
% 51.40/51.65 assert (zenon_L799_ : (~((e11) = (e13))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> ((op1 (e10) (e10)) = (e11)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((e10) = (e13))) -> (~((e12) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e13) (e11)) = (e10)) -> (~((e10) = (e11))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e10) = (e12))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((h4 (op1 (e13) (e12))) = (op2 (h4 (e13)) (h4 (e12))))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e13)) = (e23)) -> ((op2 (e23) (e22)) = (e22)) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> False).
% 51.40/51.65 do 0 intro. intros zenon_H3d zenon_H90 zenon_H7d zenon_H327 zenon_H49 zenon_H30d zenon_Hb5 zenon_H10e zenon_Hfb zenon_H3b zenon_H123 zenon_H311 zenon_Hd3 zenon_Hab zenon_Hb0 zenon_He1 zenon_H41 zenon_Hea zenon_H42 zenon_H4b zenon_Hcf zenon_H95 zenon_H54 zenon_H9e zenon_Hde zenon_Hbe zenon_H8c zenon_H19 zenon_Hc2 zenon_H35 zenon_Hb8 zenon_Hc8 zenon_H40d zenon_H15e zenon_H349 zenon_H2ea zenon_H1d8 zenon_H2c zenon_H1c zenon_Hda.
% 51.40/51.65 apply (zenon_or_s _ _ zenon_H327); [ zenon_intro zenon_He8 | zenon_intro zenon_H328 ].
% 51.40/51.65 apply (zenon_L798_); trivial.
% 51.40/51.65 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H2de | zenon_intro zenon_H329 ].
% 51.40/51.65 apply (zenon_L309_); trivial.
% 51.40/51.65 apply (zenon_or_s _ _ zenon_H329); [ zenon_intro zenon_Hf1 | zenon_intro zenon_Hd9 ].
% 51.40/51.65 apply (zenon_L793_); trivial.
% 51.40/51.65 apply (zenon_L46_); trivial.
% 51.40/51.65 (* end of lemma zenon_L799_ *)
% 51.40/51.65 assert (zenon_L800_ : ((op2 (e23) (e22)) = (e22)) -> ((h4 (e13)) = (e23)) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((h4 (op1 (e13) (e12))) = (op2 (h4 (e13)) (h4 (e12))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e12))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> ((op1 (e13) (e11)) = (e10)) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e10) (e10)) = (e11)) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e11) = (e13))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> False).
% 51.40/51.65 do 0 intro. intros zenon_H1d8 zenon_H2ea zenon_H349 zenon_H15e zenon_H40d zenon_Hc8 zenon_Hb8 zenon_H35 zenon_Hc2 zenon_H19 zenon_H8c zenon_Hbe zenon_Hde zenon_H9e zenon_H54 zenon_H95 zenon_Hcf zenon_H4b zenon_H42 zenon_Hea zenon_H41 zenon_He1 zenon_Hb0 zenon_H311 zenon_H123 zenon_H3b zenon_Hfb zenon_H10e zenon_Hb5 zenon_H30d zenon_H327 zenon_H7d zenon_H90 zenon_H3d zenon_Hab zenon_Hd3 zenon_H2c zenon_H1c zenon_Hda.
% 51.40/51.65 apply (zenon_or_s _ _ zenon_Hde); [ zenon_intro zenon_H49 | zenon_intro zenon_Hdf ].
% 51.40/51.65 apply (zenon_L799_); trivial.
% 51.40/51.65 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_Haa | zenon_intro zenon_He0 ].
% 51.40/51.65 apply (zenon_L34_); trivial.
% 51.40/51.65 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hd2 | zenon_intro zenon_Hd9 ].
% 51.40/51.65 apply (zenon_L45_); trivial.
% 51.40/51.65 apply (zenon_L46_); trivial.
% 51.40/51.65 (* end of lemma zenon_L800_ *)
% 51.40/51.65 assert (zenon_L801_ : (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((e11) = (e13))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> ((op1 (e10) (e10)) = (e11)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((e10) = (e13))) -> (~((e12) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((h4 (op1 (e13) (e12))) = (op2 (h4 (e13)) (h4 (e12))))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e13)) = (e23)) -> ((op2 (e23) (e22)) = (e22)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> False).
% 51.40/51.65 do 0 intro. intros zenon_Hda zenon_H2c zenon_Hd3 zenon_Hab zenon_H3d zenon_H90 zenon_H7d zenon_H327 zenon_H30d zenon_Hb5 zenon_H10e zenon_Hfb zenon_H3b zenon_H123 zenon_H311 zenon_Hb0 zenon_He1 zenon_H41 zenon_Hea zenon_H42 zenon_H4b zenon_Hcf zenon_H95 zenon_H54 zenon_H9e zenon_Hde zenon_H35 zenon_Hb8 zenon_Hc8 zenon_H40d zenon_H15e zenon_H349 zenon_H2ea zenon_H1d8 zenon_Hc2 zenon_H1c zenon_H19 zenon_H8c.
% 51.40/51.65 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hc9 ].
% 51.40/51.65 apply (zenon_L39_); trivial.
% 51.40/51.65 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hca ].
% 51.40/51.65 apply (zenon_L800_); trivial.
% 51.40/51.65 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H8b ].
% 51.40/51.65 apply (zenon_L41_); trivial.
% 51.40/51.65 apply (zenon_L24_); trivial.
% 51.40/51.65 (* end of lemma zenon_L801_ *)
% 51.40/51.65 assert (zenon_L802_ : (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e11) (e12)) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((e10) = (e12))) -> ((op1 (e13) (e11)) = (e10)) -> (~((h4 (op1 (e13) (e12))) = (op2 (h4 (e13)) (h4 (e12))))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e13)) = (e23)) -> ((op2 (e23) (e22)) = (e22)) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> False).
% 51.40/51.65 do 0 intro. intros zenon_H327 zenon_Ha3 zenon_Hcb zenon_Hf0 zenon_Hec zenon_H19 zenon_Hc2 zenon_Hf3 zenon_H35 zenon_Hbe zenon_H40d zenon_H15e zenon_H349 zenon_H2ea zenon_H1d8 zenon_H2c zenon_H1c zenon_Hda.
% 51.40/51.65 apply (zenon_or_s _ _ zenon_H327); [ zenon_intro zenon_He8 | zenon_intro zenon_H328 ].
% 51.40/51.65 apply (zenon_L65_); trivial.
% 51.40/51.65 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H2de | zenon_intro zenon_H329 ].
% 51.40/51.65 apply (zenon_L308_); trivial.
% 51.40/51.65 apply (zenon_or_s _ _ zenon_H329); [ zenon_intro zenon_Hf1 | zenon_intro zenon_Hd9 ].
% 51.40/51.65 apply (zenon_L793_); trivial.
% 51.40/51.65 apply (zenon_L46_); trivial.
% 51.40/51.65 (* end of lemma zenon_L802_ *)
% 51.40/51.65 assert (zenon_L803_ : (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((op2 (e23) (e22)) = (e22)) -> ((h4 (e13)) = (e23)) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((h4 (op1 (e13) (e12))) = (op2 (h4 (e13)) (h4 (e12))))) -> (~((e10) = (e12))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e12)) = (e13)) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> False).
% 51.40/51.65 do 0 intro. intros zenon_Hc8 zenon_Hb8 zenon_Hda zenon_H2c zenon_H1d8 zenon_H2ea zenon_H349 zenon_H15e zenon_H40d zenon_H35 zenon_Hf3 zenon_Hec zenon_Hf0 zenon_Hcb zenon_Ha3 zenon_H327 zenon_Hc2 zenon_H1c zenon_H19 zenon_H8c.
% 51.40/51.65 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hc9 ].
% 51.40/51.65 apply (zenon_L39_); trivial.
% 51.40/51.65 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hca ].
% 51.40/51.65 apply (zenon_L802_); trivial.
% 51.40/51.65 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H8b ].
% 51.40/51.65 apply (zenon_L41_); trivial.
% 51.40/51.65 apply (zenon_L24_); trivial.
% 51.40/51.65 (* end of lemma zenon_L803_ *)
% 51.40/51.65 assert (zenon_L804_ : (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((op2 (e23) (e22)) = (e22)) -> ((h4 (e13)) = (e23)) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((h4 (op1 (e13) (e12))) = (op2 (h4 (e13)) (h4 (e12))))) -> (~((e10) = (e12))) -> ((op1 (e13) (e10)) = (e13)) -> (~((e12) = (e13))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> False).
% 51.40/51.65 do 0 intro. intros zenon_Hc8 zenon_Hb8 zenon_Hda zenon_H2c zenon_H1d8 zenon_H2ea zenon_H349 zenon_H15e zenon_H40d zenon_H35 zenon_H66 zenon_H4b zenon_H327 zenon_Hc2 zenon_H1c zenon_H19 zenon_H8c.
% 51.40/51.65 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hc9 ].
% 51.40/51.65 apply (zenon_L39_); trivial.
% 51.40/51.65 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hca ].
% 51.40/51.65 apply (zenon_L794_); trivial.
% 51.40/51.65 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H8b ].
% 51.40/51.65 apply (zenon_L41_); trivial.
% 51.40/51.65 apply (zenon_L24_); trivial.
% 51.40/51.65 (* end of lemma zenon_L804_ *)
% 51.40/51.65 assert (zenon_L805_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((h4 (op1 (e13) (e12))) = (op2 (h4 (e13)) (h4 (e12))))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e13)) = (e23)) -> ((op2 (e23) (e22)) = (e22)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> ((op1 (e13) (e11)) = (e10)) -> ((op1 (e12) (e12)) = (e10)) -> ((op1 (e11) (e10)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e10)) = (e12)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e12) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e10) = (e13))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e11) = (e13))) -> ((e11) = (op1 (e13) (e13))) -> False).
% 51.40/51.65 do 0 intro. intros zenon_Hcf zenon_H327 zenon_H40d zenon_H15e zenon_H349 zenon_H2ea zenon_H1d8 zenon_Hb8 zenon_Hc8 zenon_H131 zenon_Hbe zenon_H321 zenon_H108 zenon_H128 zenon_Hda zenon_H49 zenon_H9e zenon_H12c zenon_He1 zenon_Hf0 zenon_He8 zenon_Hec zenon_H1c zenon_Hc2 zenon_Hf3 zenon_Hcb zenon_Hde zenon_H8c zenon_H54 zenon_He2 zenon_H7d zenon_H42 zenon_H35 zenon_H90 zenon_Hab zenon_Hd3 zenon_H2c zenon_H4b zenon_Hb5 zenon_H3d zenon_H19.
% 51.40/51.65 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H66 | zenon_intro zenon_Hd0 ].
% 51.40/51.65 apply (zenon_L804_); trivial.
% 51.40/51.65 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hd1 ].
% 51.40/51.65 apply (zenon_L42_); trivial.
% 51.40/51.65 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hb3 ].
% 51.40/51.65 apply (zenon_L417_); trivial.
% 51.40/51.65 apply (zenon_L37_); trivial.
% 51.40/51.65 (* end of lemma zenon_L805_ *)
% 51.40/51.65 assert (zenon_L806_ : ((e11) = (op1 (e13) (e13))) -> (~((e11) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e12) (e10)) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (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 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (e10)) = (e11)) -> ((op1 (e12) (e12)) = (e10)) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e12))) -> ((op1 (e13) (e11)) = (e10)) -> (~((h4 (op1 (e13) (e12))) = (op2 (h4 (e13)) (h4 (e12))))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e13)) = (e23)) -> ((op2 (e23) (e22)) = (e22)) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> False).
% 51.40/51.65 do 0 intro. intros zenon_H19 zenon_H3d zenon_Hb5 zenon_H4b zenon_Hd3 zenon_Hab zenon_H90 zenon_H42 zenon_H7d zenon_He2 zenon_H54 zenon_H8c zenon_Hde zenon_Hcb zenon_Hf3 zenon_Hc2 zenon_Hec zenon_Hf0 zenon_He1 zenon_H12c zenon_H9e zenon_H49 zenon_H128 zenon_H108 zenon_H321 zenon_H131 zenon_Hc8 zenon_Hb8 zenon_H327 zenon_Hcf zenon_H35 zenon_Hbe zenon_H40d zenon_H15e zenon_H349 zenon_H2ea zenon_H1d8 zenon_H2c zenon_H1c zenon_Hda.
% 51.40/51.65 apply (zenon_or_s _ _ zenon_H327); [ zenon_intro zenon_He8 | zenon_intro zenon_H328 ].
% 51.40/51.65 apply (zenon_L805_); trivial.
% 51.40/51.65 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H2de | zenon_intro zenon_H329 ].
% 51.40/51.65 apply (zenon_L308_); trivial.
% 51.40/51.65 apply (zenon_or_s _ _ zenon_H329); [ zenon_intro zenon_Hf1 | zenon_intro zenon_Hd9 ].
% 51.40/51.65 apply (zenon_L793_); trivial.
% 51.40/51.65 apply (zenon_L46_); trivial.
% 51.40/51.65 (* end of lemma zenon_L806_ *)
% 51.40/51.65 assert (zenon_L807_ : ((op2 (e23) (e22)) = (e22)) -> ((h4 (e13)) = (e23)) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((h4 (op1 (e13) (e12))) = (op2 (h4 (e13)) (h4 (e12))))) -> ((op1 (e13) (e11)) = (e10)) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> ((op1 (e12) (e12)) = (e10)) -> ((op1 (e11) (e10)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e12) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e10) = (e13))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e11) = (e13))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> False).
% 51.40/51.65 do 0 intro. intros zenon_H1d8 zenon_H2ea zenon_H349 zenon_H15e zenon_H40d zenon_Hbe zenon_H35 zenon_Hcf zenon_H327 zenon_Hb8 zenon_Hc8 zenon_H131 zenon_H321 zenon_H108 zenon_H128 zenon_H9e zenon_H12c zenon_He1 zenon_Hf0 zenon_Hec zenon_Hc2 zenon_Hf3 zenon_Hcb zenon_Hde zenon_H8c zenon_H54 zenon_He2 zenon_H7d zenon_H42 zenon_H90 zenon_H4b zenon_Hb5 zenon_H3d zenon_H19 zenon_Hab zenon_Hd3 zenon_H2c zenon_H1c zenon_Hda.
% 51.40/51.65 apply (zenon_or_s _ _ zenon_Hde); [ zenon_intro zenon_H49 | zenon_intro zenon_Hdf ].
% 51.40/51.65 apply (zenon_L806_); trivial.
% 51.40/51.65 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_Haa | zenon_intro zenon_He0 ].
% 51.40/51.65 apply (zenon_L34_); trivial.
% 51.40/51.65 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hd2 | zenon_intro zenon_Hd9 ].
% 51.40/51.65 apply (zenon_L45_); trivial.
% 51.40/51.65 apply (zenon_L46_); trivial.
% 51.40/51.65 (* end of lemma zenon_L807_ *)
% 51.40/51.65 assert (zenon_L808_ : (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((e11) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e12) (e10)) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (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 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (e10)) = (e11)) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e12))) -> ((op1 (e13) (e11)) = (e10)) -> (~((h4 (op1 (e13) (e12))) = (op2 (h4 (e13)) (h4 (e12))))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e13)) = (e23)) -> ((op2 (e23) (e22)) = (e22)) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False).
% 51.40/51.65 do 0 intro. intros zenon_H324 zenon_He6 zenon_H2db zenon_H50 zenon_Hda zenon_H2c zenon_Hd3 zenon_Hab zenon_H3d zenon_Hb5 zenon_H4b zenon_H90 zenon_H42 zenon_H7d zenon_He2 zenon_H54 zenon_H8c zenon_Hde zenon_Hcb zenon_Hf3 zenon_Hec zenon_Hf0 zenon_He1 zenon_H12c zenon_H9e zenon_H128 zenon_H108 zenon_H131 zenon_Hc8 zenon_Hb8 zenon_H327 zenon_Hcf zenon_H35 zenon_Hbe zenon_H40d zenon_H15e zenon_H349 zenon_H2ea zenon_H1d8 zenon_H1c zenon_H19 zenon_Hc2.
% 51.40/51.65 apply (zenon_or_s _ _ zenon_H324); [ zenon_intro zenon_H22 | zenon_intro zenon_H325 ].
% 51.50/51.65 apply (zenon_L56_); trivial.
% 51.50/51.65 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H126 | zenon_intro zenon_H326 ].
% 51.50/51.65 apply (zenon_L303_); trivial.
% 51.50/51.65 apply (zenon_or_s _ _ zenon_H326); [ zenon_intro zenon_H321 | zenon_intro zenon_Hc1 ].
% 51.50/51.65 apply (zenon_L807_); trivial.
% 51.50/51.65 apply (zenon_L41_); trivial.
% 51.50/51.65 (* end of lemma zenon_L808_ *)
% 51.50/51.65 assert (zenon_L809_ : (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e11) (e13)) = (e10)) -> (~((e11) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e12) (e13)) = (e10)) -> ((op1 (e12) (e10)) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e13) (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) (e12)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e10)) = (e12)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (e10)) = (e11)) -> ((op1 (e13) (e11)) = (e10)) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((h4 (op1 (e13) (e12))) = (op2 (h4 (e13)) (h4 (e12))))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e13)) = (e23)) -> ((op2 (e23) (e22)) = (e22)) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False).
% 51.50/51.65 do 0 intro. intros zenon_H324 zenon_H125 zenon_H2db zenon_H50 zenon_H3d zenon_Hb5 zenon_H2c zenon_Hd3 zenon_Hab zenon_H4b zenon_Hde zenon_H7d zenon_H62 zenon_He2 zenon_H54 zenon_Hcb zenon_Hf3 zenon_Hec zenon_He8 zenon_Hf0 zenon_He1 zenon_H12c zenon_H9e zenon_H49 zenon_Hda zenon_H128 zenon_H108 zenon_Hbe zenon_H131 zenon_H42 zenon_H327 zenon_H35 zenon_H40d zenon_H15e zenon_H349 zenon_H2ea zenon_H1d8 zenon_Hcf zenon_H1c zenon_H19 zenon_Hc2.
% 51.50/51.65 apply (zenon_or_s _ _ zenon_H324); [ zenon_intro zenon_H22 | zenon_intro zenon_H325 ].
% 51.50/51.65 apply (zenon_L106_); trivial.
% 51.50/51.65 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H126 | zenon_intro zenon_H326 ].
% 51.50/51.65 apply (zenon_L303_); trivial.
% 51.50/51.65 apply (zenon_or_s _ _ zenon_H326); [ zenon_intro zenon_H321 | zenon_intro zenon_Hc1 ].
% 51.50/51.65 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H66 | zenon_intro zenon_Hd0 ].
% 51.50/51.65 apply (zenon_L794_); trivial.
% 51.50/51.65 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hd1 ].
% 51.50/51.65 apply (zenon_L40_); trivial.
% 51.50/51.65 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hb3 ].
% 51.50/51.65 apply (zenon_L411_); trivial.
% 51.50/51.65 apply (zenon_L37_); trivial.
% 51.50/51.65 apply (zenon_L41_); trivial.
% 51.50/51.65 (* end of lemma zenon_L809_ *)
% 51.50/51.65 assert (zenon_L810_ : (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((op2 (e23) (e22)) = (e22)) -> ((h4 (e13)) = (e23)) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((h4 (op1 (e13) (e12))) = (op2 (h4 (e13)) (h4 (e12))))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e13))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> ((op1 (e13) (e11)) = (e10)) -> ((op1 (e11) (e10)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e10)) = (e12)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e10)) = (e13)) -> ((op1 (e12) (e13)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((e10) = (e11))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e11) = (e13))) -> ((e11) = (op1 (e13) (e13))) -> False).
% 51.50/51.65 do 0 intro. intros zenon_Hb0 zenon_Hc2 zenon_Hcf zenon_H1d8 zenon_H2ea zenon_H349 zenon_H15e zenon_H40d zenon_H35 zenon_H327 zenon_H42 zenon_H131 zenon_Hbe zenon_H108 zenon_H128 zenon_Hda zenon_H49 zenon_H9e zenon_H12c zenon_He1 zenon_Hf0 zenon_He8 zenon_Hec zenon_Hf3 zenon_Hcb zenon_He2 zenon_H62 zenon_H7d zenon_Hde zenon_H4b zenon_Hd3 zenon_Hb5 zenon_H2db zenon_H125 zenon_H324 zenon_H54 zenon_Hab zenon_H1c zenon_H2c zenon_Haf zenon_H8c zenon_H90 zenon_H3d zenon_H19.
% 51.50/51.65 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H66 | zenon_intro zenon_Hd0 ].
% 51.50/51.65 apply (zenon_L794_); trivial.
% 51.50/51.65 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hd1 ].
% 51.50/51.65 apply (zenon_L40_); trivial.
% 51.50/51.65 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hb3 ].
% 51.50/51.65 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H4a | zenon_intro zenon_Hb6 ].
% 51.50/51.65 apply (zenon_L335_); trivial.
% 51.50/51.65 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H51 | zenon_intro zenon_Hb7 ].
% 51.50/51.65 apply (zenon_L372_); trivial.
% 51.50/51.65 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb3 ].
% 51.50/51.65 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H50 | zenon_intro zenon_Hb1 ].
% 51.50/51.65 apply (zenon_L809_); trivial.
% 51.50/51.65 apply (zenon_or_s _ _ zenon_Hb1); [ zenon_intro zenon_Ha5 | zenon_intro zenon_Hb2 ].
% 51.50/51.65 apply (zenon_L33_); trivial.
% 51.50/51.65 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_Haa | zenon_intro zenon_H51 ].
% 51.50/51.65 apply (zenon_L34_); trivial.
% 51.50/51.65 apply (zenon_L35_); trivial.
% 51.50/51.65 apply (zenon_L37_); trivial.
% 51.50/51.65 apply (zenon_L37_); trivial.
% 51.50/51.65 (* end of lemma zenon_L810_ *)
% 51.50/51.65 assert (zenon_L811_ : ((e11) = (op1 (e13) (e13))) -> (~((e11) = (e13))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e12) (e13)) = (e10)) -> ((op1 (e12) (e10)) = (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) (e12)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e10)) = (e12)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (e10)) = (e11)) -> ((op1 (e13) (e11)) = (e10)) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((h4 (op1 (e13) (e12))) = (op2 (h4 (e13)) (h4 (e12))))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e13)) = (e23)) -> ((op2 (e23) (e22)) = (e22)) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> False).
% 51.50/51.65 do 0 intro. intros zenon_H19 zenon_H3d zenon_H90 zenon_H8c zenon_Haf zenon_H54 zenon_H324 zenon_H125 zenon_H2db zenon_Hb5 zenon_H4b zenon_Hde zenon_H7d zenon_H62 zenon_He2 zenon_Hcb zenon_Hf3 zenon_Hec zenon_He8 zenon_Hf0 zenon_He1 zenon_H12c zenon_H9e zenon_H128 zenon_H108 zenon_Hbe zenon_H131 zenon_H42 zenon_H327 zenon_H35 zenon_H40d zenon_H15e zenon_H349 zenon_H2ea zenon_H1d8 zenon_Hcf zenon_Hc2 zenon_Hb0 zenon_Hab zenon_Hd3 zenon_H2c zenon_H1c zenon_Hda.
% 51.50/51.65 apply (zenon_or_s _ _ zenon_Hde); [ zenon_intro zenon_H49 | zenon_intro zenon_Hdf ].
% 51.50/51.65 apply (zenon_L810_); trivial.
% 51.50/51.65 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_Haa | zenon_intro zenon_He0 ].
% 51.50/51.65 apply (zenon_L34_); trivial.
% 51.50/51.65 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hd2 | zenon_intro zenon_Hd9 ].
% 51.50/51.65 apply (zenon_L45_); trivial.
% 51.50/51.65 apply (zenon_L46_); trivial.
% 51.50/51.65 (* end of lemma zenon_L811_ *)
% 51.50/51.65 assert (zenon_L812_ : (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e13))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> ((op1 (e13) (e11)) = (e10)) -> ((op1 (e11) (e10)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e10)) = (e13)) -> ((op1 (e12) (e13)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e11) = (e13))) -> (~((e10) = (e11))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e10) = (e12))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((h4 (op1 (e13) (e12))) = (op2 (h4 (e13)) (h4 (e12))))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e13)) = (e23)) -> ((op2 (e23) (e22)) = (e22)) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> False).
% 51.50/51.65 do 0 intro. intros zenon_Hd3 zenon_Hab zenon_Hb0 zenon_Hcf zenon_H327 zenon_H42 zenon_H131 zenon_Hbe zenon_H108 zenon_H128 zenon_H9e zenon_H12c zenon_He1 zenon_Hf0 zenon_Hec zenon_Hf3 zenon_Hcb zenon_He2 zenon_H62 zenon_H7d zenon_Hde zenon_H4b zenon_Hb5 zenon_H2db zenon_H125 zenon_H324 zenon_H54 zenon_Haf zenon_H90 zenon_H3d zenon_H8c zenon_H19 zenon_Hc2 zenon_H35 zenon_Hb8 zenon_Hc8 zenon_H40d zenon_H15e zenon_H349 zenon_H2ea zenon_H1d8 zenon_H2c zenon_H1c zenon_Hda.
% 51.50/51.65 apply (zenon_or_s _ _ zenon_H327); [ zenon_intro zenon_He8 | zenon_intro zenon_H328 ].
% 51.50/51.65 apply (zenon_L811_); trivial.
% 51.50/51.65 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H2de | zenon_intro zenon_H329 ].
% 51.50/51.65 apply (zenon_L309_); trivial.
% 51.50/51.65 apply (zenon_or_s _ _ zenon_H329); [ zenon_intro zenon_Hf1 | zenon_intro zenon_Hd9 ].
% 51.50/51.65 apply (zenon_L793_); trivial.
% 51.50/51.65 apply (zenon_L46_); trivial.
% 51.50/51.65 (* end of lemma zenon_L812_ *)
% 51.50/51.65 assert (zenon_L813_ : ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((op2 (e23) (e22)) = (e22)) -> ((h4 (e13)) = (e23)) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((h4 (op1 (e13) (e12))) = (op2 (h4 (e13)) (h4 (e12))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e12))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e11) = (e13))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e12) (e10)) = (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) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (e10)) = (e11)) -> ((op1 (e13) (e11)) = (e10)) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> False).
% 51.50/51.65 do 0 intro. intros zenon_He6 zenon_Hda zenon_H1c zenon_H2c zenon_H1d8 zenon_H2ea zenon_H349 zenon_H15e zenon_H40d zenon_Hc8 zenon_Hb8 zenon_H35 zenon_Hc2 zenon_H3d zenon_H90 zenon_Haf zenon_H54 zenon_H324 zenon_H125 zenon_H2db zenon_Hb5 zenon_H4b zenon_Hde zenon_H7d zenon_He2 zenon_Hcb zenon_Hf3 zenon_Hec zenon_Hf0 zenon_He1 zenon_H12c zenon_H9e zenon_H128 zenon_H108 zenon_Hbe zenon_H131 zenon_H42 zenon_H327 zenon_Hcf zenon_Hb0 zenon_Hab zenon_Hd3 zenon_H19 zenon_H8c.
% 51.50/51.65 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H4e | zenon_intro zenon_H91 ].
% 51.50/51.65 apply (zenon_L47_); trivial.
% 51.50/51.65 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H50 | zenon_intro zenon_H92 ].
% 51.50/51.65 apply (zenon_L808_); trivial.
% 51.50/51.65 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H62 | zenon_intro zenon_H8b ].
% 51.50/51.65 apply (zenon_L812_); trivial.
% 51.50/51.65 apply (zenon_L24_); trivial.
% 51.50/51.65 (* end of lemma zenon_L813_ *)
% 51.50/51.65 assert (zenon_L814_ : (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((e11) = (e12))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> ((op1 (e10) (e10)) = (e10)) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((e11) = (e13))) -> ((op1 (e12) (e10)) = (e11)) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((op2 (e23) (e22)) = (e22)) -> ((h4 (e13)) = (e23)) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((h4 (op1 (e13) (e12))) = (op2 (h4 (e13)) (h4 (e12))))) -> (~((e10) = (e12))) -> (~((e12) = (e13))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> False).
% 51.50/51.65 do 0 intro. intros zenon_Hfe zenon_H2b zenon_H10b zenon_Hfb zenon_H23 zenon_Hb5 zenon_H10e zenon_H49 zenon_H9e zenon_H54 zenon_H95 zenon_Hab zenon_Hcf zenon_H42 zenon_Hea zenon_He1 zenon_Hb0 zenon_H3d zenon_H10a zenon_Hc8 zenon_Hb8 zenon_Hda zenon_H2c zenon_H1d8 zenon_H2ea zenon_H349 zenon_H15e zenon_H40d zenon_H35 zenon_H4b zenon_H327 zenon_Hc2 zenon_H1c zenon_H19 zenon_H8c.
% 51.50/51.65 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ].
% 51.50/51.65 apply (zenon_L7_); trivial.
% 51.50/51.65 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_H34 | zenon_intro zenon_H101 ].
% 51.50/51.65 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hfc ].
% 51.50/51.65 apply (zenon_L317_); trivial.
% 51.50/51.65 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H41 | zenon_intro zenon_Hfd ].
% 51.50/51.65 apply (zenon_L86_); trivial.
% 51.50/51.65 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_He2 | zenon_intro zenon_H66 ].
% 51.50/51.65 apply (zenon_L421_); trivial.
% 51.50/51.65 apply (zenon_L804_); trivial.
% 51.50/51.65 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_H7c | zenon_intro zenon_He8 ].
% 51.50/51.65 apply (zenon_L75_); trivial.
% 51.50/51.65 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hfc ].
% 51.50/51.65 apply (zenon_L317_); trivial.
% 51.50/51.65 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H41 | zenon_intro zenon_Hfd ].
% 51.50/51.65 apply (zenon_L354_); trivial.
% 51.50/51.65 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_He2 | zenon_intro zenon_H66 ].
% 51.50/51.65 apply (zenon_L421_); trivial.
% 51.50/51.65 apply (zenon_L804_); trivial.
% 51.50/51.65 (* end of lemma zenon_L814_ *)
% 51.50/51.65 assert (zenon_L815_ : (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((op2 (e23) (e22)) = (e22)) -> ((h4 (e13)) = (e23)) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((h4 (op1 (e13) (e12))) = (op2 (h4 (e13)) (h4 (e12))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e10) (e10)) = (e11)) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e13)) = (e12)) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e11) = (e13))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> False).
% 51.50/51.65 do 0 intro. intros zenon_Hda zenon_H2c zenon_H1d8 zenon_H2ea zenon_H349 zenon_H15e zenon_H40d zenon_Hc8 zenon_Hb8 zenon_H35 zenon_Hde zenon_H9e zenon_H54 zenon_H95 zenon_Hcf zenon_H4b zenon_H42 zenon_Hea zenon_H41 zenon_He1 zenon_Hb0 zenon_Hab zenon_Hd3 zenon_H311 zenon_H123 zenon_H3b zenon_Hfb zenon_H10e zenon_Hb5 zenon_H30d zenon_H49 zenon_H327 zenon_H7d zenon_H90 zenon_H3d zenon_Hc2 zenon_H1c zenon_H19 zenon_H8c.
% 51.50/51.65 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hc9 ].
% 51.50/51.65 apply (zenon_L39_); trivial.
% 51.50/51.65 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hca ].
% 51.50/51.65 apply (zenon_L799_); trivial.
% 51.50/51.65 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H8b ].
% 51.50/51.65 apply (zenon_L41_); trivial.
% 51.50/51.65 apply (zenon_L24_); trivial.
% 51.50/51.65 (* end of lemma zenon_L815_ *)
% 51.50/51.65 assert (zenon_L816_ : (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((e11) = (op1 (e13) (e13))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e13)) -> ((op1 (e12) (e10)) = (e13)) -> ((op1 (e12) (e13)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((e10) = (e13))) -> (~((e12) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e12))) -> ((op1 (e13) (e11)) = (e10)) -> (~((h4 (op1 (e13) (e12))) = (op2 (h4 (e13)) (h4 (e12))))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e13)) = (e23)) -> ((op2 (e23) (e22)) = (e22)) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> False).
% 51.50/51.65 do 0 intro. intros zenon_H327 zenon_H19 zenon_H3d zenon_He1 zenon_H54 zenon_H51 zenon_He2 zenon_H62 zenon_H7d zenon_H49 zenon_H42 zenon_H4b zenon_Hcf zenon_H35 zenon_Hbe zenon_H40d zenon_H15e zenon_H349 zenon_H2ea zenon_H1d8 zenon_H2c zenon_H1c zenon_Hda.
% 51.50/51.65 apply (zenon_or_s _ _ zenon_H327); [ zenon_intro zenon_He8 | zenon_intro zenon_H328 ].
% 51.50/51.65 apply (zenon_L67_); trivial.
% 51.50/51.65 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H2de | zenon_intro zenon_H329 ].
% 51.50/51.65 apply (zenon_L308_); trivial.
% 51.50/51.65 apply (zenon_or_s _ _ zenon_H329); [ zenon_intro zenon_Hf1 | zenon_intro zenon_Hd9 ].
% 51.50/51.65 apply (zenon_L793_); trivial.
% 51.50/51.65 apply (zenon_L46_); trivial.
% 51.50/51.65 (* end of lemma zenon_L816_ *)
% 51.50/51.65 assert (zenon_L817_ : (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((op2 (e23) (e22)) = (e22)) -> ((h4 (e13)) = (e23)) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((h4 (op1 (e13) (e12))) = (op2 (h4 (e13)) (h4 (e12))))) -> ((op1 (e13) (e11)) = (e10)) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((e10) = (e13))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e12) (e10)) = (e13)) -> ((op1 (e11) (e13)) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e13))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> False).
% 51.50/51.65 do 0 intro. intros zenon_H90 zenon_Hda zenon_H1c zenon_H2c zenon_H1d8 zenon_H2ea zenon_H349 zenon_H15e zenon_H40d zenon_Hbe zenon_H35 zenon_Hcf zenon_H4b zenon_H42 zenon_H49 zenon_H7d zenon_He2 zenon_H51 zenon_H54 zenon_He1 zenon_H3d zenon_H327 zenon_H19 zenon_H8c.
% 51.50/51.65 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H4e | zenon_intro zenon_H91 ].
% 51.50/51.65 apply (zenon_L16_); trivial.
% 51.50/51.65 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H50 | zenon_intro zenon_H92 ].
% 51.50/51.65 apply (zenon_L17_); trivial.
% 51.50/51.65 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H62 | zenon_intro zenon_H8b ].
% 51.50/51.65 apply (zenon_L816_); trivial.
% 51.50/51.65 apply (zenon_L24_); trivial.
% 51.50/51.65 (* end of lemma zenon_L817_ *)
% 51.50/51.65 assert (zenon_L818_ : (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e13)) -> ((op1 (e12) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((e10) = (e13))) -> (~((e12) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e12))) -> (~((h4 (op1 (e13) (e12))) = (op2 (h4 (e13)) (h4 (e12))))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e13)) = (e23)) -> ((op2 (e23) (e22)) = (e22)) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((e10) = (e11))) -> False).
% 51.50/51.65 do 0 intro. intros zenon_Hc8 zenon_Hb8 zenon_H327 zenon_H3d zenon_He1 zenon_H54 zenon_H51 zenon_He2 zenon_H7d zenon_H49 zenon_H42 zenon_H4b zenon_Hcf zenon_H35 zenon_H40d zenon_H15e zenon_H349 zenon_H2ea zenon_H1d8 zenon_H2c zenon_Hda zenon_H90 zenon_Hc2 zenon_H1c zenon_H19 zenon_H8c.
% 51.50/51.65 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hc9 ].
% 51.50/51.65 apply (zenon_L39_); trivial.
% 51.50/51.65 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hca ].
% 51.50/51.65 apply (zenon_L817_); trivial.
% 51.50/51.65 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H8b ].
% 51.50/51.65 apply (zenon_L41_); trivial.
% 51.50/51.65 apply (zenon_L24_); trivial.
% 51.50/51.65 (* end of lemma zenon_L818_ *)
% 51.50/51.65 assert (zenon_L819_ : (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e10) = (e11))) -> ((e11) = (op1 (e13) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((h4 (op1 (e13) (e12))) = (op2 (h4 (e13)) (h4 (e12))))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e13)) = (e23)) -> ((op2 (e23) (e22)) = (e22)) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> ((op1 (e10) (e10)) = (e11)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e11) = (e13))) -> ((op1 (e10) (e12)) = (e11)) -> ((op1 (e10) (e13)) = (e12)) -> (~((e12) = (e13))) -> False).
% 51.50/51.65 do 0 intro. intros zenon_Hff zenon_H8c zenon_H19 zenon_H1c zenon_Hc2 zenon_H327 zenon_H35 zenon_H40d zenon_H15e zenon_H349 zenon_H2ea zenon_H1d8 zenon_H2c zenon_Hda zenon_Hb8 zenon_Hc8 zenon_Hf8 zenon_H30d zenon_Hb5 zenon_H10e zenon_Hfb zenon_H3b zenon_H123 zenon_H311 zenon_Hd3 zenon_Hab zenon_Hb0 zenon_Hea zenon_H95 zenon_H9e zenon_Hde zenon_H45 zenon_Hcb zenon_Hf0 zenon_Hec zenon_Hf3 zenon_He1 zenon_H54 zenon_H7d zenon_H42 zenon_Hcf zenon_H90 zenon_H3d zenon_H11a zenon_H49 zenon_H4b.
% 51.50/51.65 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H3c | zenon_intro zenon_H102 ].
% 51.50/51.65 apply (zenon_L11_); trivial.
% 51.50/51.65 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_H46 | zenon_intro zenon_H103 ].
% 51.50/51.65 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hfc ].
% 51.50/51.65 apply (zenon_L11_); trivial.
% 51.50/51.65 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H41 | zenon_intro zenon_Hfd ].
% 51.50/51.65 apply (zenon_L815_); trivial.
% 51.50/51.65 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_He2 | zenon_intro zenon_H66 ].
% 51.50/51.65 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H41 | zenon_intro zenon_Hf9 ].
% 51.50/51.65 apply (zenon_L815_); trivial.
% 51.50/51.65 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H47 | zenon_intro zenon_Hfa ].
% 51.50/51.65 apply (zenon_L13_); trivial.
% 51.50/51.65 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H51 ].
% 51.50/51.65 apply (zenon_L803_); trivial.
% 51.50/51.65 apply (zenon_L818_); trivial.
% 51.50/51.65 apply (zenon_L804_); trivial.
% 51.50/51.65 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_He6 | zenon_intro zenon_H4a ].
% 51.50/51.65 apply (zenon_L427_); trivial.
% 51.50/51.65 apply (zenon_L15_); trivial.
% 51.50/51.65 (* end of lemma zenon_L819_ *)
% 51.50/51.65 assert (zenon_L820_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> ((op2 (e23) (e22)) = (e22)) -> ((h4 (e13)) = (e23)) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((h4 (op1 (e13) (e12))) = (op2 (h4 (e13)) (h4 (e12))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (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)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e13))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> False).
% 51.50/51.65 do 0 intro. intros zenon_H13b zenon_H30d zenon_H311 zenon_H1d8 zenon_H2ea zenon_H349 zenon_H15e zenon_H40d zenon_H327 zenon_H2c9 zenon_H2c5 zenon_H2ba zenon_H2e1 zenon_H324 zenon_H2db zenon_H2d4 zenon_H1b zenon_H19 zenon_Hb8 zenon_H136 zenon_Hc8 zenon_Hea zenon_Hcf zenon_Hfb zenon_Ha2 zenon_H65 zenon_H95 zenon_H45 zenon_Hf8 zenon_Hff zenon_H113 zenon_H123 zenon_H131 zenon_H125 zenon_H128 zenon_H3d zenon_He1 zenon_H12c zenon_H9e zenon_H42 zenon_H4b zenon_Hb5 zenon_Hf3 zenon_Hc2 zenon_Hec zenon_Hf0 zenon_Hcb zenon_H90 zenon_H10b zenon_H2b zenon_Hfe zenon_H105 zenon_H117 zenon_H8c zenon_Haf zenon_H72 zenon_H7d zenon_H10e zenon_H54 zenon_Hf6 zenon_Hb0 zenon_H24 zenon_H135 zenon_Hde zenon_H35 zenon_Hab zenon_Hd3 zenon_H2c zenon_H1c zenon_Hda.
% 51.50/51.65 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H23 | zenon_intro zenon_H13e ].
% 51.50/51.65 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H3b | zenon_intro zenon_H139 ].
% 51.50/51.65 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hfc ].
% 51.50/51.65 apply (zenon_L11_); trivial.
% 51.50/51.65 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H41 | zenon_intro zenon_Hfd ].
% 51.50/51.65 apply (zenon_L801_); trivial.
% 51.50/51.65 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_He2 | zenon_intro zenon_H66 ].
% 51.50/51.65 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H41 | zenon_intro zenon_Hf9 ].
% 51.50/51.65 apply (zenon_L801_); trivial.
% 51.50/51.65 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H47 | zenon_intro zenon_Hfa ].
% 51.50/51.65 apply (zenon_L299_); trivial.
% 51.50/51.65 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H51 ].
% 51.50/51.65 apply (zenon_L803_); trivial.
% 51.50/51.65 apply (zenon_L797_); trivial.
% 51.50/51.65 apply (zenon_L804_); trivial.
% 51.50/51.65 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H104 | zenon_intro zenon_H13a ].
% 51.50/51.65 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H3b | zenon_intro zenon_H118 ].
% 51.50/51.65 apply (zenon_L73_); trivial.
% 51.50/51.65 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H108 | zenon_intro zenon_H119 ].
% 51.50/51.65 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H3c | zenon_intro zenon_H102 ].
% 51.50/51.65 apply (zenon_L317_); trivial.
% 51.50/51.65 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_H46 | zenon_intro zenon_H103 ].
% 51.50/51.65 apply (zenon_L385_); trivial.
% 51.50/51.65 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_He6 | zenon_intro zenon_H4a ].
% 51.50/51.65 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hfc ].
% 51.50/51.65 apply (zenon_L317_); trivial.
% 51.50/51.65 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H41 | zenon_intro zenon_Hfd ].
% 51.50/51.65 apply (zenon_L328_); trivial.
% 51.50/51.65 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_He2 | zenon_intro zenon_H66 ].
% 51.50/51.65 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hc9 ].
% 51.50/51.65 apply (zenon_L39_); trivial.
% 51.50/51.65 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hca ].
% 51.50/51.65 apply (zenon_L813_); trivial.
% 51.50/51.65 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H8b ].
% 51.50/51.65 apply (zenon_L41_); trivial.
% 51.50/51.65 apply (zenon_L24_); trivial.
% 51.50/51.65 apply (zenon_L804_); trivial.
% 51.50/51.65 apply (zenon_L335_); trivial.
% 51.50/51.65 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H10a | zenon_intro zenon_H114 ].
% 51.50/51.65 apply (zenon_or_s _ _ zenon_Hde); [ zenon_intro zenon_H49 | zenon_intro zenon_Hdf ].
% 51.50/51.65 apply (zenon_L814_); trivial.
% 51.50/51.65 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_Haa | zenon_intro zenon_He0 ].
% 51.50/51.65 apply (zenon_L34_); trivial.
% 51.50/51.65 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hd2 | zenon_intro zenon_Hd9 ].
% 51.50/51.65 apply (zenon_L45_); trivial.
% 51.50/51.65 apply (zenon_L46_); trivial.
% 51.50/51.65 apply (zenon_L82_); trivial.
% 51.50/51.65 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H11a | zenon_intro zenon_H11c ].
% 51.50/51.65 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H3b | zenon_intro zenon_H118 ].
% 51.50/51.65 apply (zenon_or_s _ _ zenon_Hde); [ zenon_intro zenon_H49 | zenon_intro zenon_Hdf ].
% 51.50/51.65 apply (zenon_L819_); trivial.
% 51.50/51.65 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_Haa | zenon_intro zenon_He0 ].
% 51.50/51.65 apply (zenon_L34_); trivial.
% 51.50/51.65 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hd2 | zenon_intro zenon_Hd9 ].
% 51.50/51.65 apply (zenon_L45_); trivial.
% 51.50/51.65 apply (zenon_L46_); trivial.
% 51.50/51.65 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H108 | zenon_intro zenon_H119 ].
% 51.50/51.65 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H3c | zenon_intro zenon_H102 ].
% 51.50/51.65 apply (zenon_L317_); trivial.
% 51.50/51.65 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_H46 | zenon_intro zenon_H103 ].
% 51.50/51.65 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_H3c | zenon_intro zenon_Hfc ].
% 51.50/51.65 apply (zenon_L317_); trivial.
% 51.50/51.65 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H41 | zenon_intro zenon_Hfd ].
% 51.50/51.65 apply (zenon_L328_); trivial.
% 51.50/51.65 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_He2 | zenon_intro zenon_H66 ].
% 51.50/51.65 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H41 | zenon_intro zenon_Hf9 ].
% 51.50/51.65 apply (zenon_L328_); trivial.
% 51.50/51.65 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H47 | zenon_intro zenon_Hfa ].
% 51.50/51.65 apply (zenon_L13_); trivial.
% 51.50/51.65 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H51 ].
% 51.50/51.65 apply (zenon_L803_); trivial.
% 51.50/51.65 apply (zenon_L797_); trivial.
% 51.50/51.65 apply (zenon_L804_); trivial.
% 51.50/51.65 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_He6 | zenon_intro zenon_H4a ].
% 51.50/51.65 apply (zenon_L427_); trivial.
% 51.50/51.65 apply (zenon_L335_); trivial.
% 51.50/51.65 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H10a | zenon_intro zenon_H114 ].
% 51.50/51.65 apply (zenon_L512_); trivial.
% 51.50/51.65 apply (zenon_L82_); trivial.
% 51.50/51.65 apply (zenon_L85_); trivial.
% 51.50/51.65 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H1d | zenon_intro zenon_H14b ].
% 51.50/51.65 apply (zenon_L4_); trivial.
% 51.50/51.65 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H22 | zenon_intro zenon_H4e ].
% 51.50/51.65 apply (zenon_L109_); trivial.
% 51.50/51.65 apply (zenon_L47_); trivial.
% 51.50/51.65 (* end of lemma zenon_L820_ *)
% 51.50/51.65 assert (zenon_L821_ : (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((e21) = (op2 (e23) (e23))) -> (~((e21) = (e23))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e22) (e20)) = (e23)) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e20) = (e23))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((e20) = (e21))) -> (~((e22) = (e23))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e20) = (e22))) -> ((op2 (e23) (e21)) = (e20)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((e10) = (e11))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((e11) = (e12))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((e10) = (e13))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e13))) -> (~((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 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((h4 (op1 (e13) (e12))) = (op2 (h4 (e13)) (h4 (e12))))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e13)) = (e23)) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> False).
% 51.50/51.65 do 0 intro. intros zenon_H24e zenon_H14e zenon_H1f7 zenon_H254 zenon_H252 zenon_H22f zenon_H18e zenon_H187 zenon_H19b zenon_H205 zenon_H245 zenon_H244 zenon_H1b1 zenon_H1bd zenon_H1d7 zenon_H175 zenon_H21b zenon_H23c zenon_H209 zenon_H24b zenon_H210 zenon_H1ac zenon_H1fa zenon_H16f zenon_H203 zenon_Hda zenon_H1c zenon_H2c zenon_Hd3 zenon_Hab zenon_H35 zenon_Hde zenon_H135 zenon_H24 zenon_Hb0 zenon_Hf6 zenon_H54 zenon_H10e zenon_H7d zenon_H72 zenon_Haf zenon_H8c zenon_H117 zenon_H105 zenon_Hfe zenon_H2b zenon_H10b zenon_H90 zenon_Hcb zenon_Hf0 zenon_Hec zenon_Hc2 zenon_Hf3 zenon_Hb5 zenon_H4b zenon_H42 zenon_H9e zenon_H12c zenon_He1 zenon_H3d zenon_H128 zenon_H125 zenon_H131 zenon_H123 zenon_H113 zenon_Hff zenon_Hf8 zenon_H45 zenon_H95 zenon_H65 zenon_Ha2 zenon_Hfb zenon_Hcf zenon_Hea zenon_Hc8 zenon_H136 zenon_Hb8 zenon_H19 zenon_H1b zenon_H2d4 zenon_H2db zenon_H324 zenon_H2e1 zenon_H2ba zenon_H2c5 zenon_H2c9 zenon_H327 zenon_H40d zenon_H349 zenon_H2ea zenon_H311 zenon_H30d zenon_H13b zenon_H15e zenon_H14 zenon_H195.
% 51.50/51.65 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_H21c | zenon_intro zenon_H24f ].
% 51.50/51.65 apply (zenon_L190_); trivial.
% 51.50/51.65 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H229 | zenon_intro zenon_H250 ].
% 51.50/51.65 apply (zenon_L162_); trivial.
% 51.50/51.65 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H194 ].
% 51.50/51.65 apply (zenon_L820_); trivial.
% 51.50/51.65 apply (zenon_L126_); trivial.
% 51.50/51.65 (* end of lemma zenon_L821_ *)
% 51.50/51.65 assert (zenon_L822_ : (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> ((h4 (e13)) = (e23)) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((h4 (op1 (e13) (e12))) = (op2 (h4 (e13)) (h4 (e12))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (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)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e13))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((e20) = (e22))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e22) = (e23))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((e20) = (e23))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> ((op2 (e22) (e20)) = (e23)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((e21) = (e23))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (~((e20) = (e21))) -> False).
% 51.50/51.66 do 0 intro. intros zenon_H214 zenon_H1fd zenon_H195 zenon_H15e zenon_H13b zenon_H30d zenon_H311 zenon_H2ea zenon_H349 zenon_H40d zenon_H327 zenon_H2c9 zenon_H2c5 zenon_H2ba zenon_H2e1 zenon_H324 zenon_H2db zenon_H2d4 zenon_H1b zenon_H19 zenon_Hb8 zenon_H136 zenon_Hc8 zenon_Hea zenon_Hcf zenon_Hfb zenon_Ha2 zenon_H65 zenon_H95 zenon_H45 zenon_Hf8 zenon_Hff zenon_H113 zenon_H123 zenon_H131 zenon_H125 zenon_H128 zenon_H3d zenon_He1 zenon_H12c zenon_H9e zenon_H42 zenon_H4b zenon_Hb5 zenon_Hf3 zenon_Hc2 zenon_Hec zenon_Hf0 zenon_Hcb zenon_H90 zenon_H10b zenon_H2b zenon_Hfe zenon_H105 zenon_H117 zenon_H8c zenon_Haf zenon_H72 zenon_H7d zenon_H10e zenon_H54 zenon_Hf6 zenon_Hb0 zenon_H24 zenon_H135 zenon_Hde zenon_H35 zenon_Hab zenon_Hd3 zenon_H2c zenon_H1c zenon_Hda zenon_H16f zenon_H1fa zenon_H1ac zenon_H24b zenon_H23c zenon_H21b zenon_H175 zenon_H1d7 zenon_H1bd zenon_H1b1 zenon_H244 zenon_H245 zenon_H205 zenon_H19b zenon_H187 zenon_H18e zenon_H22f zenon_H252 zenon_H254 zenon_H1f7 zenon_H24e zenon_H209 zenon_H14 zenon_H14e zenon_H210.
% 51.50/51.66 apply (zenon_or_s _ _ zenon_H214); [ zenon_intro zenon_H1fe | zenon_intro zenon_H215 ].
% 51.50/51.66 apply (zenon_L151_); trivial.
% 51.50/51.66 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H203 | zenon_intro zenon_H216 ].
% 51.50/51.66 apply (zenon_L821_); trivial.
% 51.50/51.66 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H208 | zenon_intro zenon_H20f ].
% 51.50/51.66 apply (zenon_L153_); trivial.
% 51.50/51.66 apply (zenon_L154_); trivial.
% 51.50/51.66 (* end of lemma zenon_L822_ *)
% 51.50/51.66 assert (zenon_L823_ : (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e22) = (e23))) -> ((op2 (e23) (e20)) = (e23)) -> (~((e20) = (e22))) -> ((op2 (e23) (e21)) = (e20)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((e10) = (e11))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((e11) = (e12))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((e10) = (e13))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e13))) -> (~((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 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((h4 (op1 (e13) (e12))) = (op2 (h4 (e13)) (h4 (e12))))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e13)) = (e23)) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> False).
% 51.50/51.66 do 0 intro. intros zenon_H24e zenon_H1ac zenon_H1cd zenon_H16f zenon_H203 zenon_Hda zenon_H1c zenon_H2c zenon_Hd3 zenon_Hab zenon_H35 zenon_Hde zenon_H135 zenon_H24 zenon_Hb0 zenon_Hf6 zenon_H54 zenon_H10e zenon_H7d zenon_H72 zenon_Haf zenon_H8c zenon_H117 zenon_H105 zenon_Hfe zenon_H2b zenon_H10b zenon_H90 zenon_Hcb zenon_Hf0 zenon_Hec zenon_Hc2 zenon_Hf3 zenon_Hb5 zenon_H4b zenon_H42 zenon_H9e zenon_H12c zenon_He1 zenon_H3d zenon_H128 zenon_H125 zenon_H131 zenon_H123 zenon_H113 zenon_Hff zenon_Hf8 zenon_H45 zenon_H95 zenon_H65 zenon_Ha2 zenon_Hfb zenon_Hcf zenon_Hea zenon_Hc8 zenon_H136 zenon_Hb8 zenon_H19 zenon_H1b zenon_H2d4 zenon_H2db zenon_H324 zenon_H2e1 zenon_H2ba zenon_H2c5 zenon_H2c9 zenon_H327 zenon_H40d zenon_H349 zenon_H2ea zenon_H311 zenon_H30d zenon_H13b zenon_H15e zenon_H14 zenon_H195.
% 51.50/51.66 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_H21c | zenon_intro zenon_H24f ].
% 51.50/51.66 apply (zenon_L192_); trivial.
% 51.50/51.66 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H229 | zenon_intro zenon_H250 ].
% 51.50/51.66 apply (zenon_L162_); trivial.
% 51.50/51.66 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H194 ].
% 51.50/51.66 apply (zenon_L820_); trivial.
% 51.50/51.66 apply (zenon_L126_); trivial.
% 51.50/51.66 (* end of lemma zenon_L823_ *)
% 51.50/51.66 assert (zenon_L824_ : (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> ((h4 (e13)) = (e23)) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((h4 (op1 (e13) (e12))) = (op2 (h4 (e13)) (h4 (e12))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (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)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e13))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((e20) = (e22))) -> ((op2 (e23) (e20)) = (e23)) -> (~((e22) = (e23))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (~((e20) = (e21))) -> False).
% 51.50/51.66 do 0 intro. intros zenon_H214 zenon_H1fd zenon_H195 zenon_H15e zenon_H13b zenon_H30d zenon_H311 zenon_H2ea zenon_H349 zenon_H40d zenon_H327 zenon_H2c9 zenon_H2c5 zenon_H2ba zenon_H2e1 zenon_H324 zenon_H2db zenon_H2d4 zenon_H1b zenon_H19 zenon_Hb8 zenon_H136 zenon_Hc8 zenon_Hea zenon_Hcf zenon_Hfb zenon_Ha2 zenon_H65 zenon_H95 zenon_H45 zenon_Hf8 zenon_Hff zenon_H113 zenon_H123 zenon_H131 zenon_H125 zenon_H128 zenon_H3d zenon_He1 zenon_H12c zenon_H9e zenon_H42 zenon_H4b zenon_Hb5 zenon_Hf3 zenon_Hc2 zenon_Hec zenon_Hf0 zenon_Hcb zenon_H90 zenon_H10b zenon_H2b zenon_Hfe zenon_H105 zenon_H117 zenon_H8c zenon_Haf zenon_H72 zenon_H7d zenon_H10e zenon_H54 zenon_Hf6 zenon_Hb0 zenon_H24 zenon_H135 zenon_Hde zenon_H35 zenon_Hab zenon_Hd3 zenon_H2c zenon_H1c zenon_Hda zenon_H16f zenon_H1cd zenon_H1ac zenon_H24e zenon_H209 zenon_H14 zenon_H14e zenon_H210.
% 51.50/51.66 apply (zenon_or_s _ _ zenon_H214); [ zenon_intro zenon_H1fe | zenon_intro zenon_H215 ].
% 51.50/51.66 apply (zenon_L151_); trivial.
% 51.50/51.66 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H203 | zenon_intro zenon_H216 ].
% 51.50/51.66 apply (zenon_L823_); trivial.
% 51.50/51.66 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H208 | zenon_intro zenon_H20f ].
% 51.50/51.66 apply (zenon_L153_); trivial.
% 51.50/51.66 apply (zenon_L154_); trivial.
% 51.50/51.66 (* end of lemma zenon_L824_ *)
% 51.50/51.66 assert (zenon_L825_ : (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((e20) = (e21))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((e20) = (e22))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((e10) = (e11))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((e11) = (e12))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((e10) = (e13))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e13))) -> (~((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 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((h4 (op1 (e13) (e12))) = (op2 (h4 (e13)) (h4 (e12))))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e13)) = (e23)) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> False).
% 51.50/51.66 do 0 intro. intros zenon_H24e zenon_H256 zenon_H2b6 zenon_H21b zenon_H23c zenon_H24b zenon_H210 zenon_H14e zenon_H209 zenon_H16f zenon_H1fd zenon_H214 zenon_Hda zenon_H1c zenon_H2c zenon_Hd3 zenon_Hab zenon_H35 zenon_Hde zenon_H135 zenon_H24 zenon_Hb0 zenon_Hf6 zenon_H54 zenon_H10e zenon_H7d zenon_H72 zenon_Haf zenon_H8c zenon_H117 zenon_H105 zenon_Hfe zenon_H2b zenon_H10b zenon_H90 zenon_Hcb zenon_Hf0 zenon_Hec zenon_Hc2 zenon_Hf3 zenon_Hb5 zenon_H4b zenon_H42 zenon_H9e zenon_H12c zenon_He1 zenon_H3d zenon_H128 zenon_H125 zenon_H131 zenon_H123 zenon_H113 zenon_Hff zenon_Hf8 zenon_H45 zenon_H95 zenon_H65 zenon_Ha2 zenon_Hfb zenon_Hcf zenon_Hea zenon_Hc8 zenon_H136 zenon_Hb8 zenon_H19 zenon_H1b zenon_H2d4 zenon_H2db zenon_H324 zenon_H2e1 zenon_H2ba zenon_H2c5 zenon_H2c9 zenon_H327 zenon_H40d zenon_H349 zenon_H2ea zenon_H311 zenon_H30d zenon_H13b zenon_H15e zenon_H14 zenon_H195.
% 51.50/51.66 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_H21c | zenon_intro zenon_H24f ].
% 51.50/51.66 apply (zenon_L263_); trivial.
% 51.50/51.66 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H229 | zenon_intro zenon_H250 ].
% 51.50/51.66 apply (zenon_L163_); trivial.
% 51.50/51.66 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H194 ].
% 51.50/51.66 apply (zenon_L820_); trivial.
% 51.50/51.66 apply (zenon_L126_); trivial.
% 51.50/51.66 (* end of lemma zenon_L825_ *)
% 51.50/51.66 assert (zenon_L826_ : (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((e20) = (e23))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((e21) = (e23))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((op2 (e20) (e20)) = (e21)) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> ((h4 (e13)) = (e23)) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((h4 (op1 (e13) (e12))) = (op2 (h4 (e13)) (h4 (e12))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (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)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e13))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((e20) = (e22))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e21) = (op2 (e23) (e23))) -> (~((e20) = (e21))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e22) = (e23))) -> False).
% 51.50/51.66 do 0 intro. intros zenon_H28d zenon_H15d zenon_H164 zenon_H168 zenon_H258 zenon_H1fa zenon_H1d7 zenon_H1bd zenon_H1b1 zenon_H245 zenon_H205 zenon_H19b zenon_H187 zenon_H18e zenon_H22f zenon_H254 zenon_H1f7 zenon_H1a7 zenon_H21f zenon_H217 zenon_H1f3 zenon_H1cc zenon_H1e6 zenon_H1ec zenon_H240 zenon_H237 zenon_H259 zenon_H195 zenon_H14 zenon_H15e zenon_H13b zenon_H30d zenon_H311 zenon_H2ea zenon_H349 zenon_H40d zenon_H327 zenon_H2c9 zenon_H2c5 zenon_H2ba zenon_H2e1 zenon_H324 zenon_H2db zenon_H2d4 zenon_H1b zenon_H19 zenon_Hb8 zenon_H136 zenon_Hc8 zenon_Hea zenon_Hcf zenon_Hfb zenon_Ha2 zenon_H65 zenon_H95 zenon_H45 zenon_Hf8 zenon_Hff zenon_H113 zenon_H123 zenon_H131 zenon_H125 zenon_H128 zenon_H3d zenon_He1 zenon_H12c zenon_H9e zenon_H42 zenon_H4b zenon_Hb5 zenon_Hf3 zenon_Hc2 zenon_Hec zenon_Hf0 zenon_Hcb zenon_H90 zenon_H10b zenon_H2b zenon_Hfe zenon_H105 zenon_H117 zenon_H8c zenon_Haf zenon_H72 zenon_H7d zenon_H10e zenon_H54 zenon_Hf6 zenon_Hb0 zenon_H24 zenon_H135 zenon_Hde zenon_H35 zenon_Hab zenon_Hd3 zenon_H2c zenon_H1c zenon_Hda zenon_H214 zenon_H1fd zenon_H16f zenon_H209 zenon_H14e zenon_H210 zenon_H24b zenon_H23c zenon_H21b zenon_H2b6 zenon_H24e zenon_H1ac.
% 51.50/51.66 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H15f | zenon_intro zenon_H28f ].
% 51.50/51.66 apply (zenon_L116_); trivial.
% 51.50/51.66 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H165 | zenon_intro zenon_H290 ].
% 51.50/51.66 apply (zenon_L117_); trivial.
% 51.50/51.66 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H169 | zenon_intro zenon_H175 ].
% 51.50/51.66 apply (zenon_L118_); trivial.
% 51.50/51.66 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H238 | zenon_intro zenon_H25a ].
% 51.50/51.66 apply (zenon_L166_); trivial.
% 51.50/51.66 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H244 | zenon_intro zenon_H25b ].
% 51.50/51.66 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H238 | zenon_intro zenon_H25c ].
% 51.50/51.66 apply (zenon_L166_); trivial.
% 51.50/51.66 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H23b | zenon_intro zenon_H25d ].
% 51.50/51.66 apply (zenon_L182_); trivial.
% 51.50/51.66 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H252 | zenon_intro zenon_H1cd ].
% 51.50/51.66 apply (zenon_L822_); trivial.
% 51.50/51.66 apply (zenon_L824_); trivial.
% 51.50/51.66 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H256 | zenon_intro zenon_H1ab ].
% 51.50/51.66 apply (zenon_L825_); trivial.
% 51.50/51.66 apply (zenon_L132_); trivial.
% 51.50/51.66 (* end of lemma zenon_L826_ *)
% 51.50/51.66 assert (zenon_L827_ : (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> ((op2 (e21) (e21)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e22) (e20)) = (e22)) -> ((op2 (e20) (e23)) = (e22)) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> ((h4 (e13)) = (e23)) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((h4 (op1 (e13) (e12))) = (op2 (h4 (e13)) (h4 (e12))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (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)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e13))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> False).
% 51.50/51.66 do 0 intro. intros zenon_H230 zenon_H168 zenon_H180 zenon_H17c zenon_H19f zenon_H14 zenon_H176 zenon_H175 zenon_H13b zenon_H30d zenon_H311 zenon_H2ea zenon_H349 zenon_H15e zenon_H40d zenon_H327 zenon_H2c9 zenon_H2c5 zenon_H2ba zenon_H2e1 zenon_H324 zenon_H2db zenon_H2d4 zenon_H1b zenon_H19 zenon_Hb8 zenon_H136 zenon_Hc8 zenon_Hea zenon_Hcf zenon_Hfb zenon_Ha2 zenon_H65 zenon_H95 zenon_H45 zenon_Hf8 zenon_Hff zenon_H113 zenon_H123 zenon_H131 zenon_H125 zenon_H128 zenon_H3d zenon_He1 zenon_H12c zenon_H9e zenon_H42 zenon_H4b zenon_Hb5 zenon_Hf3 zenon_Hc2 zenon_Hec zenon_Hf0 zenon_Hcb zenon_H90 zenon_H10b zenon_H2b zenon_Hfe zenon_H105 zenon_H117 zenon_H8c zenon_Haf zenon_H72 zenon_H7d zenon_H10e zenon_H54 zenon_Hf6 zenon_Hb0 zenon_H24 zenon_H135 zenon_Hde zenon_H35 zenon_Hab zenon_Hd3 zenon_H2c zenon_H1c zenon_Hda.
% 51.50/51.66 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H169 | zenon_intro zenon_H233 ].
% 51.50/51.66 apply (zenon_L118_); trivial.
% 51.50/51.66 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H17f | zenon_intro zenon_H234 ].
% 51.50/51.66 apply (zenon_L123_); trivial.
% 51.50/51.66 apply (zenon_or_s _ _ zenon_H234); [ zenon_intro zenon_H19e | zenon_intro zenon_H1d8 ].
% 51.50/51.66 apply (zenon_L128_); trivial.
% 51.50/51.66 apply (zenon_L820_); trivial.
% 51.50/51.66 (* end of lemma zenon_L827_ *)
% 51.50/51.66 assert (zenon_L828_ : (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> ((op2 (e21) (e20)) = (e20)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((e10) = (e11))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((e11) = (e12))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((e10) = (e13))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e13))) -> (~((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 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((h4 (op1 (e13) (e12))) = (op2 (h4 (e13)) (h4 (e12))))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e13)) = (e23)) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((e20) = (e21))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((e20) = (e22))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e22) (e20)) = (e22)) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> False).
% 51.50/51.66 do 0 intro. intros zenon_H22e zenon_H16d zenon_Hda zenon_H1c zenon_H2c zenon_Hd3 zenon_Hab zenon_H35 zenon_Hde zenon_H135 zenon_H24 zenon_Hb0 zenon_Hf6 zenon_H54 zenon_H10e zenon_H7d zenon_H72 zenon_Haf zenon_H8c zenon_H117 zenon_H105 zenon_Hfe zenon_H2b zenon_H10b zenon_H90 zenon_Hcb zenon_Hf0 zenon_Hec zenon_Hc2 zenon_Hf3 zenon_Hb5 zenon_H4b zenon_H42 zenon_H9e zenon_H12c zenon_He1 zenon_H3d zenon_H128 zenon_H125 zenon_H131 zenon_H123 zenon_H113 zenon_Hff zenon_Hf8 zenon_H45 zenon_H95 zenon_H65 zenon_Ha2 zenon_Hfb zenon_Hcf zenon_Hea zenon_Hc8 zenon_H136 zenon_Hb8 zenon_H19 zenon_H1b zenon_H2d4 zenon_H2db zenon_H324 zenon_H2e1 zenon_H2ba zenon_H2c5 zenon_H2c9 zenon_H327 zenon_H40d zenon_H349 zenon_H2ea zenon_H311 zenon_H30d zenon_H13b zenon_H175 zenon_H19f zenon_H168 zenon_H230 zenon_H210 zenon_H14e zenon_H209 zenon_H16f zenon_H1fd zenon_H214 zenon_H225 zenon_H176 zenon_H19b zenon_H180 zenon_H18e zenon_H195 zenon_H164 zenon_H22b zenon_H15e zenon_H14 zenon_H187.
% 51.50/51.66 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H16e | zenon_intro zenon_H231 ].
% 51.50/51.66 apply (zenon_L120_); trivial.
% 51.50/51.66 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_H17c | zenon_intro zenon_H232 ].
% 51.50/51.66 apply (zenon_L827_); trivial.
% 51.50/51.66 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H17f | zenon_intro zenon_H186 ].
% 51.50/51.66 apply (zenon_L164_); trivial.
% 51.50/51.66 apply (zenon_L124_); trivial.
% 51.50/51.66 (* end of lemma zenon_L828_ *)
% 51.50/51.66 assert (zenon_L829_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> ((h4 (e13)) = (e23)) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((h4 (op1 (e13) (e12))) = (op2 (h4 (e13)) (h4 (e12))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (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)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e13))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e22) = (e23))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e22) (e20)) = (e20)) -> (~((e20) = (e23))) -> (~((e20) = (e22))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((op2 (e21) (e20)) = (e21)) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e20)) -> ((op2 (e23) (e21)) = (e20)) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((e21) = (e23))) -> ((e21) = (op2 (e23) (e23))) -> False).
% 51.50/51.66 do 0 intro. intros zenon_H222 zenon_H15e zenon_H13b zenon_H30d zenon_H311 zenon_H2ea zenon_H349 zenon_H40d zenon_H327 zenon_H2c9 zenon_H2c5 zenon_H2ba zenon_H2e1 zenon_H324 zenon_H2db zenon_H2d4 zenon_H1b zenon_H19 zenon_Hb8 zenon_H136 zenon_Hc8 zenon_Hea zenon_Hcf zenon_Hfb zenon_Ha2 zenon_H65 zenon_H95 zenon_H45 zenon_Hf8 zenon_Hff zenon_H113 zenon_H123 zenon_H131 zenon_H125 zenon_H128 zenon_H3d zenon_He1 zenon_H12c zenon_H9e zenon_H42 zenon_H4b zenon_Hb5 zenon_Hf3 zenon_Hc2 zenon_Hec zenon_Hf0 zenon_Hcb zenon_H90 zenon_H10b zenon_H2b zenon_Hfe zenon_H105 zenon_H117 zenon_H8c zenon_Haf zenon_H72 zenon_H7d zenon_H10e zenon_H54 zenon_Hf6 zenon_Hb0 zenon_H24 zenon_H135 zenon_Hde zenon_H35 zenon_Hab zenon_Hd3 zenon_H2c zenon_H1c zenon_Hda zenon_H24e zenon_H209 zenon_H1fd zenon_H214 zenon_H283 zenon_H1fa zenon_H1ac zenon_H210 zenon_H254 zenon_H266 zenon_H205 zenon_H16f zenon_H22f zenon_H195 zenon_H175 zenon_H1ec zenon_H267 zenon_H1d7 zenon_H27f zenon_H280 zenon_H14 zenon_H1a8 zenon_H203 zenon_H27c zenon_H285 zenon_H1f7 zenon_H14e.
% 51.50/51.66 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1cd | zenon_intro zenon_H223 ].
% 51.50/51.66 apply (zenon_L823_); trivial.
% 51.50/51.66 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H204 | zenon_intro zenon_H224 ].
% 51.50/51.66 apply (zenon_L155_); trivial.
% 51.50/51.66 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H21d | zenon_intro zenon_H1f8 ].
% 51.50/51.66 apply (zenon_L248_); trivial.
% 51.50/51.66 apply (zenon_L149_); trivial.
% 51.50/51.66 (* end of lemma zenon_L829_ *)
% 51.50/51.66 assert (zenon_L830_ : (~((e21) = (e23))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (e21) (e23)) = (e20)) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e20) = (e22))) -> (~((e20) = (e23))) -> ((op2 (e22) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((e22) = (e23))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((e10) = (e11))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((e11) = (e12))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((e10) = (e13))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e13))) -> (~((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 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((h4 (op1 (e13) (e12))) = (op2 (h4 (e13)) (h4 (e12))))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e13)) = (e23)) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (~((e20) = (e21))) -> False).
% 51.50/51.66 do 0 intro. intros zenon_H1f7 zenon_H285 zenon_H27c zenon_H1a8 zenon_H280 zenon_H27f zenon_H1d7 zenon_H267 zenon_H1ec zenon_H175 zenon_H195 zenon_H22f zenon_H16f zenon_H205 zenon_H266 zenon_H254 zenon_H1ac zenon_H1fa zenon_H283 zenon_H214 zenon_H1fd zenon_H24e zenon_Hda zenon_H1c zenon_H2c zenon_Hd3 zenon_Hab zenon_H35 zenon_Hde zenon_H135 zenon_H24 zenon_Hb0 zenon_Hf6 zenon_H54 zenon_H10e zenon_H7d zenon_H72 zenon_Haf zenon_H8c zenon_H117 zenon_H105 zenon_Hfe zenon_H2b zenon_H10b zenon_H90 zenon_Hcb zenon_Hf0 zenon_Hec zenon_Hc2 zenon_Hf3 zenon_Hb5 zenon_H4b zenon_H42 zenon_H9e zenon_H12c zenon_He1 zenon_H3d zenon_H128 zenon_H125 zenon_H131 zenon_H123 zenon_H113 zenon_Hff zenon_Hf8 zenon_H45 zenon_H95 zenon_H65 zenon_Ha2 zenon_Hfb zenon_Hcf zenon_Hea zenon_Hc8 zenon_H136 zenon_Hb8 zenon_H19 zenon_H1b zenon_H2d4 zenon_H2db zenon_H324 zenon_H2e1 zenon_H2ba zenon_H2c5 zenon_H2c9 zenon_H327 zenon_H40d zenon_H349 zenon_H2ea zenon_H311 zenon_H30d zenon_H13b zenon_H15e zenon_H222 zenon_H209 zenon_H14 zenon_H14e zenon_H210.
% 51.50/51.66 apply (zenon_or_s _ _ zenon_H214); [ zenon_intro zenon_H1fe | zenon_intro zenon_H215 ].
% 51.50/51.66 apply (zenon_L151_); trivial.
% 51.50/51.66 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H203 | zenon_intro zenon_H216 ].
% 51.50/51.66 apply (zenon_L829_); trivial.
% 51.50/51.66 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H208 | zenon_intro zenon_H20f ].
% 51.50/51.66 apply (zenon_L153_); trivial.
% 51.50/51.66 apply (zenon_L154_); trivial.
% 51.50/51.66 (* end of lemma zenon_L830_ *)
% 51.50/51.66 assert (zenon_L831_ : (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> ((h4 (e13)) = (e23)) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((h4 (op1 (e13) (e12))) = (op2 (h4 (e13)) (h4 (e12))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (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)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e13))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e22) = (e23))) -> (~((e20) = (e23))) -> (~((e20) = (e22))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((e21) = (e23))) -> ((op2 (e22) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (~((e20) = (e21))) -> False).
% 51.50/51.66 do 0 intro. intros zenon_H18e zenon_H187 zenon_H19b zenon_H14 zenon_H209 zenon_H222 zenon_H15e zenon_H13b zenon_H30d zenon_H311 zenon_H2ea zenon_H349 zenon_H40d zenon_H327 zenon_H2c9 zenon_H2c5 zenon_H2ba zenon_H2e1 zenon_H324 zenon_H2db zenon_H2d4 zenon_H1b zenon_H19 zenon_Hb8 zenon_H136 zenon_Hc8 zenon_Hea zenon_Hcf zenon_Hfb zenon_Ha2 zenon_H65 zenon_H95 zenon_H45 zenon_Hf8 zenon_Hff zenon_H113 zenon_H123 zenon_H131 zenon_H125 zenon_H128 zenon_H3d zenon_He1 zenon_H12c zenon_H9e zenon_H42 zenon_H4b zenon_Hb5 zenon_Hf3 zenon_Hc2 zenon_Hec zenon_Hf0 zenon_Hcb zenon_H90 zenon_H10b zenon_H2b zenon_Hfe zenon_H105 zenon_H117 zenon_H8c zenon_Haf zenon_H72 zenon_H7d zenon_H10e zenon_H54 zenon_Hf6 zenon_Hb0 zenon_H24 zenon_H135 zenon_Hde zenon_H35 zenon_Hab zenon_Hd3 zenon_H2c zenon_H1c zenon_Hda zenon_H24e zenon_H1fd zenon_H214 zenon_H283 zenon_H1fa zenon_H1ac zenon_H205 zenon_H16f zenon_H22f zenon_H195 zenon_H175 zenon_H1ec zenon_H267 zenon_H1d7 zenon_H27f zenon_H280 zenon_H27c zenon_H285 zenon_H1f7 zenon_H266 zenon_H254 zenon_H14e zenon_H210.
% 51.50/51.66 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H235 ].
% 51.50/51.66 apply (zenon_L183_); trivial.
% 51.50/51.66 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H1a8 | zenon_intro zenon_H236 ].
% 51.50/51.66 apply (zenon_L830_); trivial.
% 51.50/51.66 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1c9 | zenon_intro zenon_H20f ].
% 51.50/51.66 apply (zenon_L198_); trivial.
% 51.50/51.66 apply (zenon_L154_); trivial.
% 51.50/51.66 (* end of lemma zenon_L831_ *)
% 51.50/51.67 assert (zenon_L832_ : (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((e20) = (e22))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e20) = (e23))) -> ((op2 (e21) (e23)) = (e23)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e22)) -> ((op2 (e23) (e22)) = (e23)) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e22) (e20)) = (e23)) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((e21) = (op2 (e23) (e23))) -> (~((e20) = (e21))) -> False).
% 51.50/51.67 do 0 intro. intros zenon_H22f zenon_H14 zenon_H15e zenon_H18e zenon_H187 zenon_H16f zenon_H19b zenon_H205 zenon_H1bc zenon_H195 zenon_H175 zenon_H21d zenon_H1b1 zenon_H252 zenon_H17f zenon_H267 zenon_H1d7 zenon_H14e zenon_H210.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H235 ].
% 51.50/51.67 apply (zenon_L183_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H1a8 | zenon_intro zenon_H236 ].
% 51.50/51.67 apply (zenon_L184_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1c9 | zenon_intro zenon_H20f ].
% 51.50/51.67 apply (zenon_L206_); trivial.
% 51.50/51.67 apply (zenon_L154_); trivial.
% 51.50/51.67 (* end of lemma zenon_L832_ *)
% 51.50/51.67 assert (zenon_L833_ : (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((e21) = (e23))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((e22) = (e23))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e21)) = (e20)) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> ((h4 (e13)) = (e23)) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((h4 (op1 (e13) (e12))) = (op2 (h4 (e13)) (h4 (e12))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (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)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e13))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op2 (e21) (e20)) = (e20)) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((e20) = (e22))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e20) = (e23))) -> ((op2 (e21) (e23)) = (e23)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e22)) -> ((op2 (e23) (e22)) = (e23)) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((e21) = (op2 (e23) (e23))) -> (~((e20) = (e21))) -> False).
% 51.50/51.67 do 0 intro. intros zenon_H273 zenon_H254 zenon_H1f7 zenon_H285 zenon_H27c zenon_H280 zenon_H27f zenon_H1ec zenon_H1ac zenon_H1fa zenon_H283 zenon_H24e zenon_H222 zenon_H26d zenon_H203 zenon_H1bd zenon_H22b zenon_H164 zenon_H180 zenon_H225 zenon_H214 zenon_H1fd zenon_H209 zenon_H230 zenon_H168 zenon_H19f zenon_H13b zenon_H30d zenon_H311 zenon_H2ea zenon_H349 zenon_H40d zenon_H327 zenon_H2c9 zenon_H2c5 zenon_H2ba zenon_H2e1 zenon_H324 zenon_H2db zenon_H2d4 zenon_H1b zenon_H19 zenon_Hb8 zenon_H136 zenon_Hc8 zenon_Hea zenon_Hcf zenon_Hfb zenon_Ha2 zenon_H65 zenon_H95 zenon_H45 zenon_Hf8 zenon_Hff zenon_H113 zenon_H123 zenon_H131 zenon_H125 zenon_H128 zenon_H3d zenon_He1 zenon_H12c zenon_H9e zenon_H42 zenon_H4b zenon_Hb5 zenon_Hf3 zenon_Hc2 zenon_Hec zenon_Hf0 zenon_Hcb zenon_H90 zenon_H10b zenon_H2b zenon_Hfe zenon_H105 zenon_H117 zenon_H8c zenon_Haf zenon_H72 zenon_H7d zenon_H10e zenon_H54 zenon_Hf6 zenon_Hb0 zenon_H24 zenon_H135 zenon_Hde zenon_H35 zenon_Hab zenon_Hd3 zenon_H2c zenon_H1c zenon_Hda zenon_H16d zenon_H22e zenon_H22f zenon_H14 zenon_H15e zenon_H18e zenon_H187 zenon_H16f zenon_H19b zenon_H205 zenon_H1bc zenon_H195 zenon_H175 zenon_H21d zenon_H1b1 zenon_H17f zenon_H267 zenon_H1d7 zenon_H14e zenon_H210.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H266 | zenon_intro zenon_H274 ].
% 51.50/51.67 apply (zenon_L831_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H26e | zenon_intro zenon_H275 ].
% 51.50/51.67 apply (zenon_L205_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H275); [ zenon_intro zenon_H176 | zenon_intro zenon_H252 ].
% 51.50/51.67 apply (zenon_L828_); trivial.
% 51.50/51.67 apply (zenon_L832_); trivial.
% 51.50/51.67 (* end of lemma zenon_L833_ *)
% 51.50/51.67 assert (zenon_L834_ : (~((e20) = (e21))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((e20) = (e23))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> ((op2 (e21) (e20)) = (e20)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((e10) = (e11))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((e11) = (e12))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((e10) = (e13))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e13))) -> (~((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 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((h4 (op1 (e13) (e12))) = (op2 (h4 (e13)) (h4 (e12))))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e13)) = (e23)) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e21)) = (e20)) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e22) = (e23))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e22)) -> ((op2 (e23) (e22)) = (e23)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((e21) = (e23))) -> ((e21) = (op2 (e23) (e23))) -> False).
% 51.50/51.67 do 0 intro. intros zenon_H210 zenon_H1b1 zenon_H205 zenon_H19b zenon_H16f zenon_H187 zenon_H18e zenon_H15e zenon_H14 zenon_H22f zenon_H22e zenon_H16d zenon_Hda zenon_H1c zenon_H2c zenon_Hd3 zenon_Hab zenon_H35 zenon_Hde zenon_H135 zenon_H24 zenon_Hb0 zenon_Hf6 zenon_H54 zenon_H10e zenon_H7d zenon_H72 zenon_Haf zenon_H8c zenon_H117 zenon_H105 zenon_Hfe zenon_H2b zenon_H10b zenon_H90 zenon_Hcb zenon_Hf0 zenon_Hec zenon_Hc2 zenon_Hf3 zenon_Hb5 zenon_H4b zenon_H42 zenon_H9e zenon_H12c zenon_He1 zenon_H3d zenon_H128 zenon_H125 zenon_H131 zenon_H123 zenon_H113 zenon_Hff zenon_Hf8 zenon_H45 zenon_H95 zenon_H65 zenon_Ha2 zenon_Hfb zenon_Hcf zenon_Hea zenon_Hc8 zenon_H136 zenon_Hb8 zenon_H19 zenon_H1b zenon_H2d4 zenon_H2db zenon_H324 zenon_H2e1 zenon_H2ba zenon_H2c5 zenon_H2c9 zenon_H327 zenon_H40d zenon_H349 zenon_H2ea zenon_H311 zenon_H30d zenon_H13b zenon_H19f zenon_H168 zenon_H230 zenon_H209 zenon_H1fd zenon_H214 zenon_H225 zenon_H180 zenon_H164 zenon_H22b zenon_H1bd zenon_H203 zenon_H26d zenon_H222 zenon_H24e zenon_H283 zenon_H1fa zenon_H1ac zenon_H27f zenon_H280 zenon_H27c zenon_H285 zenon_H254 zenon_H273 zenon_H195 zenon_H175 zenon_H21d zenon_H1ec zenon_H17f zenon_H267 zenon_H1d7 zenon_H1f7 zenon_H14e.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H1ab | zenon_intro zenon_H1fb ].
% 51.50/51.67 apply (zenon_L132_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H1bc | zenon_intro zenon_H1fc ].
% 51.50/51.67 apply (zenon_L833_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H1f8 ].
% 51.50/51.67 apply (zenon_L202_); trivial.
% 51.50/51.67 apply (zenon_L149_); trivial.
% 51.50/51.67 (* end of lemma zenon_L834_ *)
% 51.50/51.67 assert (zenon_L835_ : (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((e22) = (e23))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e21)) = (e20)) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> ((h4 (e13)) = (e23)) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((h4 (op1 (e13) (e12))) = (op2 (h4 (e13)) (h4 (e12))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (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)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e13))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op2 (e21) (e20)) = (e20)) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((e20) = (e22))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e20) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((e20) = (e21))) -> (~((e21) = (e23))) -> ((e21) = (op2 (e23) (e23))) -> False).
% 51.50/51.67 do 0 intro. intros zenon_H1d7 zenon_H267 zenon_H17f zenon_H1ec zenon_H175 zenon_H195 zenon_H273 zenon_H254 zenon_H285 zenon_H27c zenon_H280 zenon_H27f zenon_H1ac zenon_H1fa zenon_H283 zenon_H24e zenon_H222 zenon_H26d zenon_H203 zenon_H1bd zenon_H22b zenon_H164 zenon_H180 zenon_H225 zenon_H214 zenon_H1fd zenon_H209 zenon_H230 zenon_H168 zenon_H19f zenon_H13b zenon_H30d zenon_H311 zenon_H2ea zenon_H349 zenon_H40d zenon_H327 zenon_H2c9 zenon_H2c5 zenon_H2ba zenon_H2e1 zenon_H324 zenon_H2db zenon_H2d4 zenon_H1b zenon_H19 zenon_Hb8 zenon_H136 zenon_Hc8 zenon_Hea zenon_Hcf zenon_Hfb zenon_Ha2 zenon_H65 zenon_H95 zenon_H45 zenon_Hf8 zenon_Hff zenon_H113 zenon_H123 zenon_H131 zenon_H125 zenon_H128 zenon_H3d zenon_He1 zenon_H12c zenon_H9e zenon_H42 zenon_H4b zenon_Hb5 zenon_Hf3 zenon_Hc2 zenon_Hec zenon_Hf0 zenon_Hcb zenon_H90 zenon_H10b zenon_H2b zenon_Hfe zenon_H105 zenon_H117 zenon_H8c zenon_Haf zenon_H72 zenon_H7d zenon_H10e zenon_H54 zenon_Hf6 zenon_Hb0 zenon_H24 zenon_H135 zenon_Hde zenon_H35 zenon_Hab zenon_Hd3 zenon_H2c zenon_H1c zenon_Hda zenon_H16d zenon_H22e zenon_H22f zenon_H14 zenon_H15e zenon_H18e zenon_H187 zenon_H16f zenon_H19b zenon_H205 zenon_H1b1 zenon_H210 zenon_H1f7 zenon_H14e.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1cd | zenon_intro zenon_H223 ].
% 51.50/51.67 apply (zenon_L824_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H204 | zenon_intro zenon_H224 ].
% 51.50/51.67 apply (zenon_L152_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H21d | zenon_intro zenon_H1f8 ].
% 51.50/51.67 apply (zenon_L834_); trivial.
% 51.50/51.67 apply (zenon_L149_); trivial.
% 51.50/51.67 (* end of lemma zenon_L835_ *)
% 51.50/51.67 assert (zenon_L836_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((e10) = (e11))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((e11) = (e12))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((e10) = (e13))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e13))) -> (~((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 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((h4 (op1 (e13) (e12))) = (op2 (h4 (e13)) (h4 (e12))))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e13)) = (e23)) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((e20) = (e21))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((e20) = (e23))) -> (~((e20) = (e22))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e21)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e22) (e22)) = (e22)) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((e22) = (e23))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e21) = (e23))) -> ((e21) = (op2 (e23) (e23))) -> False).
% 51.50/51.67 do 0 intro. intros zenon_H222 zenon_H24e zenon_Hda zenon_H1c zenon_H2c zenon_Hd3 zenon_Hab zenon_H35 zenon_Hde zenon_H135 zenon_H24 zenon_Hb0 zenon_Hf6 zenon_H54 zenon_H10e zenon_H7d zenon_H72 zenon_Haf zenon_H8c zenon_H117 zenon_H105 zenon_Hfe zenon_H2b zenon_H10b zenon_H90 zenon_Hcb zenon_Hf0 zenon_Hec zenon_Hc2 zenon_Hf3 zenon_Hb5 zenon_H4b zenon_H42 zenon_H9e zenon_H12c zenon_He1 zenon_H3d zenon_H128 zenon_H125 zenon_H131 zenon_H123 zenon_H113 zenon_Hff zenon_Hf8 zenon_H45 zenon_H95 zenon_H65 zenon_Ha2 zenon_Hfb zenon_Hcf zenon_Hea zenon_Hc8 zenon_H136 zenon_Hb8 zenon_H19 zenon_H1b zenon_H2d4 zenon_H2db zenon_H324 zenon_H2e1 zenon_H2ba zenon_H2c5 zenon_H2c9 zenon_H327 zenon_H40d zenon_H349 zenon_H2ea zenon_H311 zenon_H30d zenon_H13b zenon_H209 zenon_H1fd zenon_H214 zenon_H285 zenon_H210 zenon_H273 zenon_H254 zenon_H205 zenon_H16f zenon_H22f zenon_H26d zenon_H203 zenon_H19f zenon_H14 zenon_H19e zenon_H15e zenon_H1bd zenon_H1b1 zenon_H19b zenon_H187 zenon_H18e zenon_H27c zenon_H1f3 zenon_H280 zenon_H27f zenon_H195 zenon_H175 zenon_H1ec zenon_H267 zenon_H1d7 zenon_H283 zenon_H1ac zenon_H1fa zenon_H1f7 zenon_H14e.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1cd | zenon_intro zenon_H223 ].
% 51.50/51.67 apply (zenon_L824_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H204 | zenon_intro zenon_H224 ].
% 51.50/51.67 apply (zenon_L155_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H21d | zenon_intro zenon_H1f8 ].
% 51.50/51.67 apply (zenon_L218_); trivial.
% 51.50/51.67 apply (zenon_L149_); trivial.
% 51.50/51.67 (* end of lemma zenon_L836_ *)
% 51.50/51.67 assert (zenon_L837_ : (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> ((op2 (e21) (e20)) = (e20)) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> ((e21) = (op2 (e23) (e23))) -> (~((e21) = (e23))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e22) = (e23))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((op2 (e21) (e20)) = (e21)) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (e23) (e21)) = (e20)) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e20) = (e22))) -> (~((e20) = (e23))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((e20) = (e21))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> ((h4 (e13)) = (e23)) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((h4 (op1 (e13) (e12))) = (op2 (h4 (e13)) (h4 (e12))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (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)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e13))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e20)) = (e22)) -> False).
% 51.50/51.67 do 0 intro. intros zenon_H22e zenon_H16d zenon_H168 zenon_H230 zenon_H225 zenon_H180 zenon_H164 zenon_H22b zenon_H14e zenon_H1f7 zenon_H1fa zenon_H1ac zenon_H283 zenon_H1d7 zenon_H267 zenon_H1ec zenon_H175 zenon_H195 zenon_H27f zenon_H280 zenon_H1f3 zenon_H27c zenon_H18e zenon_H187 zenon_H19b zenon_H1b1 zenon_H1bd zenon_H15e zenon_H14 zenon_H19f zenon_H203 zenon_H26d zenon_H22f zenon_H16f zenon_H205 zenon_H254 zenon_H273 zenon_H210 zenon_H285 zenon_H214 zenon_H1fd zenon_H209 zenon_H13b zenon_H30d zenon_H311 zenon_H2ea zenon_H349 zenon_H40d zenon_H327 zenon_H2c9 zenon_H2c5 zenon_H2ba zenon_H2e1 zenon_H324 zenon_H2db zenon_H2d4 zenon_H1b zenon_H19 zenon_Hb8 zenon_H136 zenon_Hc8 zenon_Hea zenon_Hcf zenon_Hfb zenon_Ha2 zenon_H65 zenon_H95 zenon_H45 zenon_Hf8 zenon_Hff zenon_H113 zenon_H123 zenon_H131 zenon_H125 zenon_H128 zenon_H3d zenon_He1 zenon_H12c zenon_H9e zenon_H42 zenon_H4b zenon_Hb5 zenon_Hf3 zenon_Hc2 zenon_Hec zenon_Hf0 zenon_Hcb zenon_H90 zenon_H10b zenon_H2b zenon_Hfe zenon_H105 zenon_H117 zenon_H8c zenon_Haf zenon_H72 zenon_H7d zenon_H10e zenon_H54 zenon_Hf6 zenon_Hb0 zenon_H24 zenon_H135 zenon_Hde zenon_H35 zenon_Hab zenon_Hd3 zenon_H2c zenon_H1c zenon_Hda zenon_H24e zenon_H222 zenon_H21b zenon_H21c.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H169 | zenon_intro zenon_H233 ].
% 51.50/51.67 apply (zenon_L118_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H17f | zenon_intro zenon_H234 ].
% 51.50/51.67 apply (zenon_L835_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H234); [ zenon_intro zenon_H19e | zenon_intro zenon_H1d8 ].
% 51.50/51.67 apply (zenon_L836_); trivial.
% 51.50/51.67 apply (zenon_L157_); trivial.
% 51.50/51.67 (* end of lemma zenon_L837_ *)
% 51.50/51.67 assert (zenon_L838_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e20) = (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e20) = (e22))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((e10) = (e11))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((e11) = (e12))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((e10) = (e13))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e13))) -> (~((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 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((h4 (op1 (e13) (e12))) = (op2 (h4 (e13)) (h4 (e12))))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((h4 (e13)) = (e23)) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e20) = (e23))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> ((op2 (e22) (e23)) = (e20)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e21)) = (e20)) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((e22) = (e23))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e21) = (e23))) -> ((e21) = (op2 (e23) (e23))) -> False).
% 51.50/51.67 do 0 intro. intros zenon_H222 zenon_H210 zenon_H209 zenon_H24e zenon_H16f zenon_Hda zenon_H1c zenon_H2c zenon_Hd3 zenon_Hab zenon_H35 zenon_Hde zenon_H135 zenon_H24 zenon_Hb0 zenon_Hf6 zenon_H54 zenon_H10e zenon_H7d zenon_H72 zenon_Haf zenon_H8c zenon_H117 zenon_H105 zenon_Hfe zenon_H2b zenon_H10b zenon_H90 zenon_Hcb zenon_Hf0 zenon_Hec zenon_Hc2 zenon_Hf3 zenon_Hb5 zenon_H4b zenon_H42 zenon_H9e zenon_H12c zenon_He1 zenon_H3d zenon_H128 zenon_H125 zenon_H131 zenon_H123 zenon_H113 zenon_Hff zenon_Hf8 zenon_H45 zenon_H95 zenon_H65 zenon_Ha2 zenon_Hfb zenon_Hcf zenon_Hea zenon_Hc8 zenon_H136 zenon_Hb8 zenon_H19 zenon_H1b zenon_H2d4 zenon_H2db zenon_H324 zenon_H2e1 zenon_H2ba zenon_H2c5 zenon_H2c9 zenon_H327 zenon_H40d zenon_H349 zenon_H2ea zenon_H311 zenon_H30d zenon_H13b zenon_H1fd zenon_H214 zenon_H205 zenon_H1f3 zenon_H1c9 zenon_H28c zenon_H187 zenon_H14 zenon_H15e zenon_H1e6 zenon_H1bd zenon_H203 zenon_H26e zenon_H26d zenon_H175 zenon_H195 zenon_H1d7 zenon_H1ac zenon_H1fa zenon_H1f7 zenon_H14e.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1cd | zenon_intro zenon_H223 ].
% 51.50/51.67 apply (zenon_L824_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H204 | zenon_intro zenon_H224 ].
% 51.50/51.67 apply (zenon_L152_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H21d | zenon_intro zenon_H1f8 ].
% 51.50/51.67 apply (zenon_L228_); trivial.
% 51.50/51.67 apply (zenon_L149_); trivial.
% 51.50/51.67 (* end of lemma zenon_L838_ *)
% 51.50/51.67 assert (zenon_L839_ : (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> ((op2 (e21) (e20)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((e21) = (e23))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e22) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e22) (e20)) = (e21)) -> ((op2 (e23) (e21)) = (e20)) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((e20) = (e23))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> ((h4 (e13)) = (e23)) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> (~((h4 (op1 (e13) (e12))) = (op2 (h4 (e13)) (h4 (e12))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (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)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e13))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((e21) = (op2 (e23) (e23))) -> (~((e20) = (e21))) -> False).
% 51.50/51.67 do 0 intro. intros zenon_H22f zenon_H16d zenon_H1a7 zenon_H1f7 zenon_H1fa zenon_H1ac zenon_H1d7 zenon_H195 zenon_H175 zenon_H26d zenon_H26e zenon_H203 zenon_H1bd zenon_H1e6 zenon_H15e zenon_H14 zenon_H187 zenon_H28c zenon_H1f3 zenon_H205 zenon_H214 zenon_H1fd zenon_H13b zenon_H30d zenon_H311 zenon_H2ea zenon_H349 zenon_H40d zenon_H327 zenon_H2c9 zenon_H2c5 zenon_H2ba zenon_H2e1 zenon_H324 zenon_H2db zenon_H2d4 zenon_H1b zenon_H19 zenon_Hb8 zenon_H136 zenon_Hc8 zenon_Hea zenon_Hcf zenon_Hfb zenon_Ha2 zenon_H65 zenon_H95 zenon_H45 zenon_Hf8 zenon_Hff zenon_H113 zenon_H123 zenon_H131 zenon_H125 zenon_H128 zenon_H3d zenon_He1 zenon_H12c zenon_H9e zenon_H42 zenon_H4b zenon_Hb5 zenon_Hf3 zenon_Hc2 zenon_Hec zenon_Hf0 zenon_Hcb zenon_H90 zenon_H10b zenon_H2b zenon_Hfe zenon_H105 zenon_H117 zenon_H8c zenon_Haf zenon_H72 zenon_H7d zenon_H10e zenon_H54 zenon_Hf6 zenon_Hb0 zenon_H24 zenon_H135 zenon_Hde zenon_H35 zenon_Hab zenon_Hd3 zenon_H2c zenon_H1c zenon_Hda zenon_H16f zenon_H24e zenon_H209 zenon_H222 zenon_H14e zenon_H210.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H235 ].
% 51.50/51.67 apply (zenon_L129_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H1a8 | zenon_intro zenon_H236 ].
% 51.50/51.67 apply (zenon_L130_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1c9 | zenon_intro zenon_H20f ].
% 51.50/51.67 apply (zenon_L838_); trivial.
% 51.50/51.67 apply (zenon_L154_); trivial.
% 51.50/51.67 (* end of lemma zenon_L839_ *)
% 51.50/51.67 assert (zenon_L840_ : (~((h4 (op1 (e13) (e13))) = (op2 (h4 (e13)) (h4 (e13))))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((e11) = (op1 (e13) (e13))) -> ((h4 (e13)) = (e23)) -> False).
% 51.50/51.67 do 0 intro. intros zenon_H413 zenon_H2e7 zenon_H19 zenon_H2ea.
% 51.50/51.67 cut (((h4 (e11)) = (op2 (e23) (e23))) = ((h4 (op1 (e13) (e13))) = (op2 (h4 (e13)) (h4 (e13))))).
% 51.50/51.67 intro zenon_D_pnotp.
% 51.50/51.67 apply zenon_H413.
% 51.50/51.67 rewrite <- zenon_D_pnotp.
% 51.50/51.67 exact zenon_H2e7.
% 51.50/51.67 cut (((op2 (e23) (e23)) = (op2 (h4 (e13)) (h4 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H414].
% 51.50/51.67 cut (((h4 (e11)) = (h4 (op1 (e13) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H415].
% 51.50/51.67 congruence.
% 51.50/51.67 elim (classic ((h4 (op1 (e13) (e13))) = (h4 (op1 (e13) (e13))))); [ zenon_intro zenon_H416 | zenon_intro zenon_H417 ].
% 51.50/51.67 cut (((h4 (op1 (e13) (e13))) = (h4 (op1 (e13) (e13)))) = ((h4 (e11)) = (h4 (op1 (e13) (e13))))).
% 51.50/51.67 intro zenon_D_pnotp.
% 51.50/51.67 apply zenon_H415.
% 51.50/51.67 rewrite <- zenon_D_pnotp.
% 51.50/51.67 exact zenon_H416.
% 51.50/51.67 cut (((h4 (op1 (e13) (e13))) = (h4 (op1 (e13) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H417].
% 51.50/51.67 cut (((h4 (op1 (e13) (e13))) = (h4 (e11)))); [idtac | apply NNPP; zenon_intro zenon_H418].
% 51.50/51.67 congruence.
% 51.50/51.67 cut (((op1 (e13) (e13)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H1a].
% 51.50/51.67 congruence.
% 51.50/51.67 apply zenon_H1a. apply sym_equal. exact zenon_H19.
% 51.50/51.67 apply zenon_H417. apply refl_equal.
% 51.50/51.67 apply zenon_H417. apply refl_equal.
% 51.50/51.67 cut (((e23) = (h4 (e13)))); [idtac | apply NNPP; zenon_intro zenon_H35d].
% 51.50/51.67 cut (((e23) = (h4 (e13)))); [idtac | apply NNPP; zenon_intro zenon_H35d].
% 51.50/51.67 congruence.
% 51.50/51.67 apply zenon_H35d. apply sym_equal. exact zenon_H2ea.
% 51.50/51.67 apply zenon_H35d. apply sym_equal. exact zenon_H2ea.
% 51.50/51.67 (* end of lemma zenon_L840_ *)
% 51.50/51.67 assert (zenon_L841_ : (~(((h4 (e10)) = (e20))\/(((h4 (e11)) = (e20))\/(((h4 (e12)) = (e20))\/((h4 (e13)) = (e20)))))) -> ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> False).
% 51.50/51.67 do 0 intro. intros zenon_H419 zenon_H13 zenon_H14.
% 51.50/51.67 apply (zenon_notor_s _ _ zenon_H419). zenon_intro zenon_H12. zenon_intro zenon_H41a.
% 51.50/51.67 apply (zenon_L1_); trivial.
% 51.50/51.67 (* end of lemma zenon_L841_ *)
% 51.50/51.67 assert (zenon_L842_ : (~(((h4 (e10)) = (e21))\/(((h4 (e11)) = (e21))\/(((h4 (e12)) = (e21))\/((h4 (e13)) = (e21)))))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((e21) = (op2 (e23) (e23))) -> False).
% 51.50/51.67 do 0 intro. intros zenon_H41b zenon_H2e7 zenon_H14e.
% 51.50/51.67 apply (zenon_notor_s _ _ zenon_H41b). zenon_intro zenon_H41d. zenon_intro zenon_H41c.
% 51.50/51.67 apply (zenon_notor_s _ _ zenon_H41c). zenon_intro zenon_H2e6. zenon_intro zenon_H41e.
% 51.50/51.67 apply (zenon_L326_); trivial.
% 51.50/51.67 (* end of lemma zenon_L842_ *)
% 51.50/51.67 assert (zenon_L843_ : (~(((h4 (e10)) = (e22))\/(((h4 (e11)) = (e22))\/(((h4 (e12)) = (e22))\/((h4 (e13)) = (e22)))))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (e23))) -> False).
% 51.50/51.67 do 0 intro. intros zenon_H41f zenon_H349 zenon_H15e.
% 51.50/51.67 apply (zenon_notor_s _ _ zenon_H41f). zenon_intro zenon_H421. zenon_intro zenon_H420.
% 51.50/51.67 apply (zenon_notor_s _ _ zenon_H420). zenon_intro zenon_H423. zenon_intro zenon_H422.
% 51.50/51.67 apply (zenon_notor_s _ _ zenon_H422). zenon_intro zenon_H348. zenon_intro zenon_H424.
% 51.50/51.67 apply (zenon_L487_); trivial.
% 51.50/51.67 (* end of lemma zenon_L843_ *)
% 51.50/51.67 assert (zenon_L844_ : (~(((h4 (e10)) = (e23))\/(((h4 (e11)) = (e23))\/(((h4 (e12)) = (e23))\/((h4 (e13)) = (e23)))))) -> ((h4 (e13)) = (e23)) -> False).
% 51.50/51.67 do 0 intro. intros zenon_H425 zenon_H2ea.
% 51.50/51.67 apply (zenon_notor_s _ _ zenon_H425). zenon_intro zenon_H427. zenon_intro zenon_H426.
% 51.50/51.67 apply (zenon_notor_s _ _ zenon_H426). zenon_intro zenon_H429. zenon_intro zenon_H428.
% 51.50/51.67 apply (zenon_notor_s _ _ zenon_H428). zenon_intro zenon_H42a. zenon_intro zenon_H399.
% 51.50/51.67 exact (zenon_H399 zenon_H2ea).
% 51.50/51.67 (* end of lemma zenon_L844_ *)
% 51.50/51.67 apply NNPP. intro zenon_G.
% 51.50/51.67 apply (zenon_and_s _ _ ax1). zenon_intro zenon_H42c. zenon_intro zenon_H42b.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H42b). zenon_intro zenon_H2d4. zenon_intro zenon_H42d.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H42d). zenon_intro zenon_H2d1. zenon_intro zenon_H42e.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H42e). zenon_intro zenon_H430. zenon_intro zenon_H42f.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H42f). zenon_intro zenon_H432. zenon_intro zenon_H431.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H431). zenon_intro zenon_H434. zenon_intro zenon_H433.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H433). zenon_intro zenon_H131. zenon_intro zenon_H435.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H435). zenon_intro zenon_Hb0. zenon_intro zenon_H436.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H436). zenon_intro zenon_H311. zenon_intro zenon_H437.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H437). zenon_intro zenon_H439. zenon_intro zenon_H438.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H438). zenon_intro zenon_H3dc. zenon_intro zenon_H43a.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H43a). zenon_intro zenon_H43c. zenon_intro zenon_H43b.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H43b). zenon_intro zenon_H31b. zenon_intro zenon_H43d.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H43d). zenon_intro zenon_H43f. zenon_intro zenon_H43e.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H43e). zenon_intro zenon_Hf3. zenon_intro zenon_H440.
% 51.50/51.67 apply (zenon_and_s _ _ ax2). zenon_intro zenon_H13b. zenon_intro zenon_H441.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H441). zenon_intro zenon_H135. zenon_intro zenon_H442.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H442). zenon_intro zenon_H136. zenon_intro zenon_H443.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H443). zenon_intro zenon_H117. zenon_intro zenon_H444.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H444). zenon_intro zenon_H32a. zenon_intro zenon_H445.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H445). zenon_intro zenon_Hfe. zenon_intro zenon_H446.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H446). zenon_intro zenon_Hff. zenon_intro zenon_H447.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H447). zenon_intro zenon_Hfb. zenon_intro zenon_H448.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H448). zenon_intro zenon_H2e0. zenon_intro zenon_H449.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H449). zenon_intro zenon_H44b. zenon_intro zenon_H44a.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H44a). zenon_intro zenon_H318. zenon_intro zenon_H44c.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H44c). zenon_intro zenon_H3b9. zenon_intro zenon_H44d.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H44d). zenon_intro zenon_H341. zenon_intro zenon_H44e.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H44e). zenon_intro zenon_H2e1. zenon_intro zenon_H44f.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H44f). zenon_intro zenon_Hf8. zenon_intro zenon_H450.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H450). zenon_intro zenon_H452. zenon_intro zenon_H451.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H451). zenon_intro zenon_H454. zenon_intro zenon_H453.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H453). zenon_intro zenon_H324. zenon_intro zenon_H455.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H455). zenon_intro zenon_H33e. zenon_intro zenon_H456.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H456). zenon_intro zenon_H345. zenon_intro zenon_H457.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H457). zenon_intro zenon_H314. zenon_intro zenon_H458.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H458). zenon_intro zenon_H31e. zenon_intro zenon_H459.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H459). zenon_intro zenon_H45b. zenon_intro zenon_H45a.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H45a). zenon_intro zenon_H3d9. zenon_intro zenon_H45c.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H45c). zenon_intro zenon_Hc8. zenon_intro zenon_H45d.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H45d). zenon_intro zenon_H90. zenon_intro zenon_H45e.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H45e). zenon_intro zenon_H460. zenon_intro zenon_H45f.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H45f). zenon_intro zenon_H462. zenon_intro zenon_H461.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H461). zenon_intro zenon_H327. zenon_intro zenon_H463.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H463). zenon_intro zenon_Hde. zenon_intro zenon_H464.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H464). zenon_intro zenon_Hcf. zenon_intro zenon_Hb5.
% 51.50/51.67 apply (zenon_and_s _ _ ax3). zenon_intro zenon_H466. zenon_intro zenon_H465.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H465). zenon_intro zenon_H468. zenon_intro zenon_H467.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H467). zenon_intro zenon_H3c2. zenon_intro zenon_H469.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H469). zenon_intro zenon_H46b. zenon_intro zenon_H46a.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H46a). zenon_intro zenon_H46d. zenon_intro zenon_H46c.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H46c). zenon_intro zenon_H46f. zenon_intro zenon_H46e.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H46e). zenon_intro zenon_H285. zenon_intro zenon_H470.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H470). zenon_intro zenon_H1f3. zenon_intro zenon_H471.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H471). zenon_intro zenon_H273. zenon_intro zenon_H472.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H472). zenon_intro zenon_H474. zenon_intro zenon_H473.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H473). zenon_intro zenon_H476. zenon_intro zenon_H475.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H475). zenon_intro zenon_H29d. zenon_intro zenon_H477.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H477). zenon_intro zenon_H21f. zenon_intro zenon_H478.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H478). zenon_intro zenon_H47a. zenon_intro zenon_H479.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H479). zenon_intro zenon_H24b. zenon_intro zenon_H47b.
% 51.50/51.67 apply (zenon_and_s _ _ ax4). zenon_intro zenon_H47d. zenon_intro zenon_H47c.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H47c). zenon_intro zenon_H2ae. zenon_intro zenon_H47e.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H47e). zenon_intro zenon_H2a5. zenon_intro zenon_H47f.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H47f). zenon_intro zenon_H2a7. zenon_intro zenon_H480.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H480). zenon_intro zenon_H28d. zenon_intro zenon_H481.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H481). zenon_intro zenon_H28e. zenon_intro zenon_H482.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H482). zenon_intro zenon_H258. zenon_intro zenon_H483.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H483). zenon_intro zenon_H259. zenon_intro zenon_H484.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H484). zenon_intro zenon_H2a6. zenon_intro zenon_H485.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H485). zenon_intro zenon_H487. zenon_intro zenon_H486.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H486). zenon_intro zenon_H489. zenon_intro zenon_H488.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H488). zenon_intro zenon_H48b. zenon_intro zenon_H48a.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H48a). zenon_intro zenon_H22e. zenon_intro zenon_H48c.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H48c). zenon_intro zenon_H22b. zenon_intro zenon_H48d.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H48d). zenon_intro zenon_H48f. zenon_intro zenon_H48e.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H48e). zenon_intro zenon_H491. zenon_intro zenon_H490.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H490). zenon_intro zenon_H493. zenon_intro zenon_H492.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H492). zenon_intro zenon_H495. zenon_intro zenon_H494.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H494). zenon_intro zenon_H3c5. zenon_intro zenon_H496.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H496). zenon_intro zenon_H498. zenon_intro zenon_H497.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H497). zenon_intro zenon_H2af. zenon_intro zenon_H499.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H499). zenon_intro zenon_H230. zenon_intro zenon_H49a.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H49a). zenon_intro zenon_H3df. zenon_intro zenon_H49b.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H49b). zenon_intro zenon_H3e2. zenon_intro zenon_H49c.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H49c). zenon_intro zenon_H214. zenon_intro zenon_H49d.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H49d). zenon_intro zenon_H22f. zenon_intro zenon_H49e.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H49e). zenon_intro zenon_H4a0. zenon_intro zenon_H49f.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H49f). zenon_intro zenon_H4a2. zenon_intro zenon_H4a1.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H4a1). zenon_intro zenon_H24e. zenon_intro zenon_H4a3.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H4a3). zenon_intro zenon_H19b. zenon_intro zenon_H4a4.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H4a4). zenon_intro zenon_H222. zenon_intro zenon_H1fa.
% 51.50/51.67 apply (zenon_and_s _ _ ax5). zenon_intro zenon_Hea. zenon_intro zenon_H4a5.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H4a5). zenon_intro zenon_H7d. zenon_intro zenon_H4a6.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H4a6). zenon_intro zenon_H65. zenon_intro zenon_H4a7.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H4a7). zenon_intro zenon_H4a9. zenon_intro zenon_H4a8.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H4a8). zenon_intro zenon_H4ab. zenon_intro zenon_H4aa.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H4aa). zenon_intro zenon_H30d. zenon_intro zenon_H4ac.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H4ac). zenon_intro zenon_H45. zenon_intro zenon_H4ad.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H4ad). zenon_intro zenon_H4af. zenon_intro zenon_H4ae.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H4ae). zenon_intro zenon_H1b. zenon_intro zenon_H4b0.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H4b0). zenon_intro zenon_H2c9. zenon_intro zenon_H4b1.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H4b1). zenon_intro zenon_H10e. zenon_intro zenon_H4b2.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H4b2). zenon_intro zenon_H4b4. zenon_intro zenon_H4b3.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H4b3). zenon_intro zenon_H125. zenon_intro zenon_H4b5.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H4b5). zenon_intro zenon_H2ce. zenon_intro zenon_H4b6.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H4b6). zenon_intro zenon_H33a. zenon_intro zenon_H4b7.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H4b7). zenon_intro zenon_H12c. zenon_intro zenon_H4b8.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H4b8). zenon_intro zenon_Hcb. zenon_intro zenon_H4b9.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H4b9). zenon_intro zenon_He1. zenon_intro zenon_H4ba.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H4ba). zenon_intro zenon_Hab. zenon_intro zenon_H4bb.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H4bb). zenon_intro zenon_Hd3. zenon_intro zenon_H4bc.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H4bc). zenon_intro zenon_Hda. zenon_intro zenon_H4bd.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H4bd). zenon_intro zenon_Haf. zenon_intro zenon_H4be.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H4be). zenon_intro zenon_H54. zenon_intro zenon_H4bf.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H4bf). zenon_intro zenon_H9e. zenon_intro zenon_H4c0.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H4c0). zenon_intro zenon_H105. zenon_intro zenon_H4c1.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H4c1). zenon_intro zenon_H24. zenon_intro zenon_H4c2.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H4c2). zenon_intro zenon_H2b. zenon_intro zenon_H4c3.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H4c3). zenon_intro zenon_H4c5. zenon_intro zenon_H4c4.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H4c4). zenon_intro zenon_H2ba. zenon_intro zenon_H4c6.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H4c6). zenon_intro zenon_H2be. zenon_intro zenon_H4c7.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H4c7). zenon_intro zenon_H2c5. zenon_intro zenon_H4c8.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H4c8). zenon_intro zenon_H128. zenon_intro zenon_H4c9.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H4c9). zenon_intro zenon_Hf6. zenon_intro zenon_H4ca.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H4ca). zenon_intro zenon_Ha2. zenon_intro zenon_H4cb.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H4cb). zenon_intro zenon_H72. zenon_intro zenon_H4cc.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H4cc). zenon_intro zenon_H2db. zenon_intro zenon_H4cd.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H4cd). zenon_intro zenon_H2ff. zenon_intro zenon_H4ce.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H4ce). zenon_intro zenon_H305. zenon_intro zenon_H4cf.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H4cf). zenon_intro zenon_H123. zenon_intro zenon_H4d0.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H4d0). zenon_intro zenon_H4d2. zenon_intro zenon_H4d1.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H4d1). zenon_intro zenon_H4d4. zenon_intro zenon_H4d3.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H4d3). zenon_intro zenon_H95. zenon_intro zenon_H4d5.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H4d5). zenon_intro zenon_Hb8. zenon_intro zenon_H4d6.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H4d6). zenon_intro zenon_Hf0. zenon_intro zenon_H4d7.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H4d7). zenon_intro zenon_H113. zenon_intro zenon_H4d8.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H4d8). zenon_intro zenon_Hc2. zenon_intro zenon_H4d9.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H4d9). zenon_intro zenon_H3b3. zenon_intro zenon_Hec.
% 51.50/51.67 apply (zenon_and_s _ _ ax6). zenon_intro zenon_H240. zenon_intro zenon_H4da.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H4da). zenon_intro zenon_H1b1. zenon_intro zenon_H4db.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H4db). zenon_intro zenon_H1cc. zenon_intro zenon_H4dc.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H4dc). zenon_intro zenon_H4de. zenon_intro zenon_H4dd.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H4dd). zenon_intro zenon_H4e0. zenon_intro zenon_H4df.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H4df). zenon_intro zenon_H262. zenon_intro zenon_H4e1.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H4e1). zenon_intro zenon_H245. zenon_intro zenon_H4e2.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H4e2). zenon_intro zenon_H3c8. zenon_intro zenon_H4e3.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H4e3). zenon_intro zenon_H150. zenon_intro zenon_H4e4.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H4e4). zenon_intro zenon_H36d. zenon_intro zenon_H4e5.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H4e5). zenon_intro zenon_H26d. zenon_intro zenon_H4e6.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H4e6). zenon_intro zenon_H4e8. zenon_intro zenon_H4e7.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H4e7). zenon_intro zenon_H4ea. zenon_intro zenon_H4e9.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H4e9). zenon_intro zenon_H2b7. zenon_intro zenon_H4eb.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H4eb). zenon_intro zenon_H2b6. zenon_intro zenon_H4ec.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H4ec). zenon_intro zenon_H267. zenon_intro zenon_H4ed.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H4ed). zenon_intro zenon_H283. zenon_intro zenon_H4ee.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H4ee). zenon_intro zenon_H1d7. zenon_intro zenon_H4ef.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H4ef). zenon_intro zenon_H187. zenon_intro zenon_H4f0.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H4f0). zenon_intro zenon_H18e. zenon_intro zenon_H4f1.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H4f1). zenon_intro zenon_H195. zenon_intro zenon_H4f2.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H4f2). zenon_intro zenon_H28c. zenon_intro zenon_H4f3.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H4f3). zenon_intro zenon_H1bd. zenon_intro zenon_H4f4.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H4f4). zenon_intro zenon_H1ec. zenon_intro zenon_H4f5.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H4f5). zenon_intro zenon_H25f. zenon_intro zenon_H4f6.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H4f6). zenon_intro zenon_H157. zenon_intro zenon_H4f7.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H4f7). zenon_intro zenon_H15d. zenon_intro zenon_H4f8.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H4f8). zenon_intro zenon_H4fa. zenon_intro zenon_H4f9.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H4f9). zenon_intro zenon_H164. zenon_intro zenon_H4fb.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H4fb). zenon_intro zenon_H168. zenon_intro zenon_H4fc.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H4fc). zenon_intro zenon_H36a. zenon_intro zenon_H4fd.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H4fd). zenon_intro zenon_H27f. zenon_intro zenon_H4fe.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H4fe). zenon_intro zenon_H1a7. zenon_intro zenon_H4ff.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H4ff). zenon_intro zenon_H180. zenon_intro zenon_H500.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H500). zenon_intro zenon_H502. zenon_intro zenon_H501.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H501). zenon_intro zenon_H27c. zenon_intro zenon_H503.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H503). zenon_intro zenon_H225. zenon_intro zenon_H504.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H504). zenon_intro zenon_H19f. zenon_intro zenon_H505.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H505). zenon_intro zenon_H254. zenon_intro zenon_H506.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H506). zenon_intro zenon_H508. zenon_intro zenon_H507.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H507). zenon_intro zenon_H50a. zenon_intro zenon_H509.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H509). zenon_intro zenon_H1e6. zenon_intro zenon_H50b.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H50b). zenon_intro zenon_H1fd. zenon_intro zenon_H50c.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H50c). zenon_intro zenon_H21b. zenon_intro zenon_H50d.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H50d). zenon_intro zenon_H217. zenon_intro zenon_H50e.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H50e). zenon_intro zenon_H209. zenon_intro zenon_H50f.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H50f). zenon_intro zenon_H510. zenon_intro zenon_H23c.
% 51.50/51.67 apply (zenon_and_s _ _ ax7). zenon_intro zenon_H8c. zenon_intro zenon_H511.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H511). zenon_intro zenon_H35. zenon_intro zenon_H512.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H512). zenon_intro zenon_H42. zenon_intro zenon_H513.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H513). zenon_intro zenon_H10b. zenon_intro zenon_H514.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H514). zenon_intro zenon_H3d. zenon_intro zenon_H4b.
% 51.50/51.67 apply (zenon_and_s _ _ ax8). zenon_intro zenon_H210. zenon_intro zenon_H515.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H515). zenon_intro zenon_H16f. zenon_intro zenon_H516.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H516). zenon_intro zenon_H205. zenon_intro zenon_H517.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H517). zenon_intro zenon_H288. zenon_intro zenon_H518.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H518). zenon_intro zenon_H1f7. zenon_intro zenon_H1ac.
% 51.50/51.67 apply (zenon_and_s _ _ ax12). zenon_intro zenon_H1c. zenon_intro zenon_H519.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H519). zenon_intro zenon_H19. zenon_intro zenon_H2c.
% 51.50/51.67 apply (zenon_and_s _ _ ax13). zenon_intro zenon_H14. zenon_intro zenon_H51a.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H51a). zenon_intro zenon_H14e. zenon_intro zenon_H15e.
% 51.50/51.67 apply (zenon_and_s _ _ ax17). zenon_intro zenon_H2ea. zenon_intro zenon_H51b.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H51b). zenon_intro zenon_H13. zenon_intro zenon_H51c.
% 51.50/51.67 apply (zenon_and_s _ _ zenon_H51c). zenon_intro zenon_H2e7. zenon_intro zenon_H349.
% 51.50/51.67 apply (zenon_notor_s _ _ zenon_G). zenon_intro zenon_H51e. zenon_intro zenon_H51d.
% 51.50/51.67 apply (zenon_notor_s _ _ zenon_H51d). zenon_intro zenon_H520. zenon_intro zenon_H51f.
% 51.50/51.67 apply (zenon_notor_s _ _ zenon_H51f). zenon_intro zenon_H522. zenon_intro zenon_H521.
% 51.50/51.67 apply (zenon_notand_s _ _ zenon_H521); [ zenon_intro zenon_H13d | zenon_intro zenon_H523 ].
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H47d); [ zenon_intro zenon_H13c | zenon_intro zenon_H524 ].
% 51.50/51.67 apply (zenon_L110_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H524); [ zenon_intro zenon_H151 | zenon_intro zenon_H525 ].
% 51.50/51.67 apply (zenon_L113_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H525); [ zenon_intro zenon_H156 | zenon_intro zenon_H1a5 ].
% 51.50/51.67 apply (zenon_L258_); trivial.
% 51.50/51.67 apply (zenon_L183_); trivial.
% 51.50/51.67 apply (zenon_notand_s _ _ zenon_H523); [ zenon_intro zenon_H2e9 | zenon_intro zenon_H526 ].
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H47d); [ zenon_intro zenon_H13c | zenon_intro zenon_H524 ].
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_H237 | zenon_intro zenon_H2a8 ].
% 51.50/51.67 apply (zenon_L259_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H2a8); [ zenon_intro zenon_H25e | zenon_intro zenon_H2a9 ].
% 51.50/51.67 apply (zenon_L280_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H2a9); [ zenon_intro zenon_H293 | zenon_intro zenon_H295 ].
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H15f | zenon_intro zenon_H28f ].
% 51.50/51.67 apply (zenon_L116_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H165 | zenon_intro zenon_H290 ].
% 51.50/51.67 apply (zenon_L117_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H169 | zenon_intro zenon_H175 ].
% 51.50/51.67 apply (zenon_L118_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H238 | zenon_intro zenon_H25a ].
% 51.50/51.67 apply (zenon_L260_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H244 | zenon_intro zenon_H25b ].
% 51.50/51.67 apply (zenon_L428_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H256 | zenon_intro zenon_H1ab ].
% 51.50/51.67 apply (zenon_L429_); trivial.
% 51.50/51.67 apply (zenon_L132_); trivial.
% 51.50/51.67 apply (zenon_L234_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H524); [ zenon_intro zenon_H151 | zenon_intro zenon_H525 ].
% 51.50/51.67 apply (zenon_L113_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H525); [ zenon_intro zenon_H156 | zenon_intro zenon_H1a5 ].
% 51.50/51.67 apply (zenon_L258_); trivial.
% 51.50/51.67 apply (zenon_L183_); trivial.
% 51.50/51.67 apply (zenon_notand_s _ _ zenon_H526); [ zenon_intro zenon_H34c | zenon_intro zenon_H527 ].
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H47d); [ zenon_intro zenon_H13c | zenon_intro zenon_H524 ].
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_H237 | zenon_intro zenon_H2a8 ].
% 51.50/51.67 apply (zenon_L259_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H2a8); [ zenon_intro zenon_H25e | zenon_intro zenon_H2a9 ].
% 51.50/51.67 apply (zenon_L280_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H2a9); [ zenon_intro zenon_H293 | zenon_intro zenon_H295 ].
% 51.50/51.67 apply (zenon_L498_); trivial.
% 51.50/51.67 apply (zenon_L234_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H524); [ zenon_intro zenon_H151 | zenon_intro zenon_H525 ].
% 51.50/51.67 apply (zenon_L113_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H525); [ zenon_intro zenon_H156 | zenon_intro zenon_H1a5 ].
% 51.50/51.67 apply (zenon_L258_); trivial.
% 51.50/51.67 apply (zenon_L183_); trivial.
% 51.50/51.67 apply (zenon_notand_s _ _ zenon_H527); [ zenon_intro zenon_H357 | zenon_intro zenon_H528 ].
% 51.50/51.67 apply (zenon_L499_); trivial.
% 51.50/51.67 apply (zenon_notand_s _ _ zenon_H528); [ zenon_intro zenon_H35f | zenon_intro zenon_H529 ].
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H47d); [ zenon_intro zenon_H13c | zenon_intro zenon_H524 ].
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_H237 | zenon_intro zenon_H2a8 ].
% 51.50/51.67 apply (zenon_L259_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H2a8); [ zenon_intro zenon_H25e | zenon_intro zenon_H2a9 ].
% 51.50/51.67 apply (zenon_L280_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H2a9); [ zenon_intro zenon_H293 | zenon_intro zenon_H295 ].
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H2a7); [ zenon_intro zenon_H237 | zenon_intro zenon_H2aa ].
% 51.50/51.67 apply (zenon_L259_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H2aa); [ zenon_intro zenon_H280 | zenon_intro zenon_H2ab ].
% 51.50/51.67 apply (zenon_L513_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H2ab); [ zenon_intro zenon_H26e | zenon_intro zenon_H218 ].
% 51.50/51.67 apply (zenon_L535_); trivial.
% 51.50/51.67 apply (zenon_L156_); trivial.
% 51.50/51.67 apply (zenon_L234_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H524); [ zenon_intro zenon_H151 | zenon_intro zenon_H525 ].
% 51.50/51.67 apply (zenon_L113_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H525); [ zenon_intro zenon_H156 | zenon_intro zenon_H1a5 ].
% 51.50/51.67 apply (zenon_L258_); trivial.
% 51.50/51.67 apply (zenon_L183_); trivial.
% 51.50/51.67 apply (zenon_notand_s _ _ zenon_H529); [ zenon_intro zenon_H375 | zenon_intro zenon_H52a ].
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H47d); [ zenon_intro zenon_H13c | zenon_intro zenon_H524 ].
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_H237 | zenon_intro zenon_H2a8 ].
% 51.50/51.67 apply (zenon_L259_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H2a8); [ zenon_intro zenon_H25e | zenon_intro zenon_H2a9 ].
% 51.50/51.67 apply (zenon_L280_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H2a9); [ zenon_intro zenon_H293 | zenon_intro zenon_H295 ].
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H15f | zenon_intro zenon_H28f ].
% 51.50/51.67 apply (zenon_L116_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H165 | zenon_intro zenon_H290 ].
% 51.50/51.67 apply (zenon_L117_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H169 | zenon_intro zenon_H175 ].
% 51.50/51.67 apply (zenon_L118_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H15f | zenon_intro zenon_H291 ].
% 51.50/51.67 apply (zenon_L116_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H291); [ zenon_intro zenon_H16e | zenon_intro zenon_H292 ].
% 51.50/51.67 apply (zenon_L533_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H292); [ zenon_intro zenon_H176 | zenon_intro zenon_H21c ].
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H238 | zenon_intro zenon_H25a ].
% 51.50/51.67 apply (zenon_L260_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H244 | zenon_intro zenon_H25b ].
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H238 | zenon_intro zenon_H25c ].
% 51.50/51.67 apply (zenon_L260_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H23b | zenon_intro zenon_H25d ].
% 51.50/51.67 apply (zenon_L182_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H252 | zenon_intro zenon_H1cd ].
% 51.50/51.67 apply (zenon_L536_); trivial.
% 51.50/51.67 apply (zenon_L547_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H256 | zenon_intro zenon_H1ab ].
% 51.50/51.67 apply (zenon_L279_); trivial.
% 51.50/51.67 apply (zenon_L194_); trivial.
% 51.50/51.67 apply (zenon_L534_); trivial.
% 51.50/51.67 apply (zenon_L234_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H524); [ zenon_intro zenon_H151 | zenon_intro zenon_H525 ].
% 51.50/51.67 apply (zenon_L113_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H525); [ zenon_intro zenon_H156 | zenon_intro zenon_H1a5 ].
% 51.50/51.67 apply (zenon_L258_); trivial.
% 51.50/51.67 apply (zenon_L183_); trivial.
% 51.50/51.67 apply (zenon_notand_s _ _ zenon_H52a); [ zenon_intro zenon_H382 | zenon_intro zenon_H52b ].
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H47d); [ zenon_intro zenon_H13c | zenon_intro zenon_H524 ].
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_H237 | zenon_intro zenon_H2a8 ].
% 51.50/51.67 apply (zenon_L259_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H2a8); [ zenon_intro zenon_H25e | zenon_intro zenon_H2a9 ].
% 51.50/51.67 apply (zenon_L280_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H2a9); [ zenon_intro zenon_H293 | zenon_intro zenon_H295 ].
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H15f | zenon_intro zenon_H28f ].
% 51.50/51.67 apply (zenon_L116_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H165 | zenon_intro zenon_H290 ].
% 51.50/51.67 apply (zenon_L117_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H169 | zenon_intro zenon_H175 ].
% 51.50/51.67 apply (zenon_L118_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H15f | zenon_intro zenon_H291 ].
% 51.50/51.67 apply (zenon_L116_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H291); [ zenon_intro zenon_H16e | zenon_intro zenon_H292 ].
% 51.50/51.67 apply (zenon_L533_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H292); [ zenon_intro zenon_H176 | zenon_intro zenon_H21c ].
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H238 | zenon_intro zenon_H25a ].
% 51.50/51.67 apply (zenon_L260_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H244 | zenon_intro zenon_H25b ].
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H238 | zenon_intro zenon_H25c ].
% 51.50/51.67 apply (zenon_L260_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H23b | zenon_intro zenon_H25d ].
% 51.50/51.67 apply (zenon_L182_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H252 | zenon_intro zenon_H1cd ].
% 51.50/51.67 apply (zenon_L536_); trivial.
% 51.50/51.67 apply (zenon_L559_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H256 | zenon_intro zenon_H1ab ].
% 51.50/51.67 apply (zenon_L429_); trivial.
% 51.50/51.67 apply (zenon_L132_); trivial.
% 51.50/51.67 apply (zenon_L534_); trivial.
% 51.50/51.67 apply (zenon_L234_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H524); [ zenon_intro zenon_H151 | zenon_intro zenon_H525 ].
% 51.50/51.67 apply (zenon_L113_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H525); [ zenon_intro zenon_H156 | zenon_intro zenon_H1a5 ].
% 51.50/51.67 apply (zenon_L258_); trivial.
% 51.50/51.67 apply (zenon_L183_); trivial.
% 51.50/51.67 apply (zenon_notand_s _ _ zenon_H52b); [ zenon_intro zenon_H38e | zenon_intro zenon_H52c ].
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H47d); [ zenon_intro zenon_H13c | zenon_intro zenon_H524 ].
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_H237 | zenon_intro zenon_H2a8 ].
% 51.50/51.67 apply (zenon_L259_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H2a8); [ zenon_intro zenon_H25e | zenon_intro zenon_H2a9 ].
% 51.50/51.67 apply (zenon_L280_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H2a9); [ zenon_intro zenon_H293 | zenon_intro zenon_H295 ].
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H15f | zenon_intro zenon_H28f ].
% 51.50/51.67 apply (zenon_L116_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H165 | zenon_intro zenon_H290 ].
% 51.50/51.67 apply (zenon_L117_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H169 | zenon_intro zenon_H175 ].
% 51.50/51.67 apply (zenon_L118_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H15f | zenon_intro zenon_H291 ].
% 51.50/51.67 apply (zenon_L116_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H291); [ zenon_intro zenon_H16e | zenon_intro zenon_H292 ].
% 51.50/51.67 apply (zenon_L533_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H292); [ zenon_intro zenon_H176 | zenon_intro zenon_H21c ].
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H238 | zenon_intro zenon_H25a ].
% 51.50/51.67 apply (zenon_L260_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H244 | zenon_intro zenon_H25b ].
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H238 | zenon_intro zenon_H25c ].
% 51.50/51.67 apply (zenon_L260_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H23b | zenon_intro zenon_H25d ].
% 51.50/51.67 apply (zenon_L182_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H252 | zenon_intro zenon_H1cd ].
% 51.50/51.67 apply (zenon_L536_); trivial.
% 51.50/51.67 apply (zenon_L575_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H256 | zenon_intro zenon_H1ab ].
% 51.50/51.67 apply (zenon_L279_); trivial.
% 51.50/51.67 apply (zenon_L194_); trivial.
% 51.50/51.67 apply (zenon_L534_); trivial.
% 51.50/51.67 apply (zenon_L234_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H524); [ zenon_intro zenon_H151 | zenon_intro zenon_H525 ].
% 51.50/51.67 apply (zenon_L113_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H525); [ zenon_intro zenon_H156 | zenon_intro zenon_H1a5 ].
% 51.50/51.67 apply (zenon_L258_); trivial.
% 51.50/51.67 apply (zenon_L183_); trivial.
% 51.50/51.67 apply (zenon_notand_s _ _ zenon_H52c); [ zenon_intro zenon_H39a | zenon_intro zenon_H52d ].
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H47d); [ zenon_intro zenon_H13c | zenon_intro zenon_H524 ].
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_H237 | zenon_intro zenon_H2a8 ].
% 51.50/51.67 apply (zenon_L259_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H2a8); [ zenon_intro zenon_H25e | zenon_intro zenon_H2a9 ].
% 51.50/51.67 apply (zenon_L280_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H2a9); [ zenon_intro zenon_H293 | zenon_intro zenon_H295 ].
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H15f | zenon_intro zenon_H28f ].
% 51.50/51.67 apply (zenon_L116_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H165 | zenon_intro zenon_H290 ].
% 51.50/51.67 apply (zenon_L117_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H169 | zenon_intro zenon_H175 ].
% 51.50/51.67 apply (zenon_L118_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H15f | zenon_intro zenon_H291 ].
% 51.50/51.67 apply (zenon_L116_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H291); [ zenon_intro zenon_H16e | zenon_intro zenon_H292 ].
% 51.50/51.67 apply (zenon_L533_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H292); [ zenon_intro zenon_H176 | zenon_intro zenon_H21c ].
% 51.50/51.67 apply (zenon_L578_); trivial.
% 51.50/51.67 apply (zenon_L534_); trivial.
% 51.50/51.67 apply (zenon_L234_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H524); [ zenon_intro zenon_H151 | zenon_intro zenon_H525 ].
% 51.50/51.67 apply (zenon_L113_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H525); [ zenon_intro zenon_H156 | zenon_intro zenon_H1a5 ].
% 51.50/51.67 apply (zenon_L258_); trivial.
% 51.50/51.67 apply (zenon_L183_); trivial.
% 51.50/51.67 apply (zenon_notand_s _ _ zenon_H52d); [ zenon_intro zenon_H3ad | zenon_intro zenon_H52e ].
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H47d); [ zenon_intro zenon_H13c | zenon_intro zenon_H524 ].
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_H237 | zenon_intro zenon_H2a8 ].
% 51.50/51.67 apply (zenon_L259_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H2a8); [ zenon_intro zenon_H25e | zenon_intro zenon_H2a9 ].
% 51.50/51.67 apply (zenon_L280_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H2a9); [ zenon_intro zenon_H293 | zenon_intro zenon_H295 ].
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H15f | zenon_intro zenon_H28f ].
% 51.50/51.67 apply (zenon_L116_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H165 | zenon_intro zenon_H290 ].
% 51.50/51.67 apply (zenon_L117_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H169 | zenon_intro zenon_H175 ].
% 51.50/51.67 apply (zenon_L118_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H15f | zenon_intro zenon_H291 ].
% 51.50/51.67 apply (zenon_L116_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H291); [ zenon_intro zenon_H16e | zenon_intro zenon_H292 ].
% 51.50/51.67 apply (zenon_L533_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H292); [ zenon_intro zenon_H176 | zenon_intro zenon_H21c ].
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H238 | zenon_intro zenon_H25a ].
% 51.50/51.67 apply (zenon_L260_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H244 | zenon_intro zenon_H25b ].
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H238 | zenon_intro zenon_H25c ].
% 51.50/51.67 apply (zenon_L260_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H23b | zenon_intro zenon_H25d ].
% 51.50/51.67 apply (zenon_L182_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H252 | zenon_intro zenon_H1cd ].
% 51.50/51.67 apply (zenon_L536_); trivial.
% 51.50/51.67 apply (zenon_L623_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H256 | zenon_intro zenon_H1ab ].
% 51.50/51.67 apply (zenon_L429_); trivial.
% 51.50/51.67 apply (zenon_L132_); trivial.
% 51.50/51.67 apply (zenon_L534_); trivial.
% 51.50/51.67 apply (zenon_L234_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H524); [ zenon_intro zenon_H151 | zenon_intro zenon_H525 ].
% 51.50/51.67 apply (zenon_L113_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H525); [ zenon_intro zenon_H156 | zenon_intro zenon_H1a5 ].
% 51.50/51.67 apply (zenon_L258_); trivial.
% 51.50/51.67 apply (zenon_L183_); trivial.
% 51.50/51.67 apply (zenon_notand_s _ _ zenon_H52e); [ zenon_intro zenon_H3d2 | zenon_intro zenon_H52f ].
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H47d); [ zenon_intro zenon_H13c | zenon_intro zenon_H524 ].
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_H237 | zenon_intro zenon_H2a8 ].
% 51.50/51.67 apply (zenon_L259_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H2a8); [ zenon_intro zenon_H25e | zenon_intro zenon_H2a9 ].
% 51.50/51.67 apply (zenon_L280_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H2a9); [ zenon_intro zenon_H293 | zenon_intro zenon_H295 ].
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H15f | zenon_intro zenon_H28f ].
% 51.50/51.67 apply (zenon_L116_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H165 | zenon_intro zenon_H290 ].
% 51.50/51.67 apply (zenon_L117_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H169 | zenon_intro zenon_H175 ].
% 51.50/51.67 apply (zenon_L118_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H15f | zenon_intro zenon_H291 ].
% 51.50/51.67 apply (zenon_L116_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H291); [ zenon_intro zenon_H16e | zenon_intro zenon_H292 ].
% 51.50/51.67 apply (zenon_L533_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H292); [ zenon_intro zenon_H176 | zenon_intro zenon_H21c ].
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H238 | zenon_intro zenon_H25a ].
% 51.50/51.67 apply (zenon_L260_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H244 | zenon_intro zenon_H25b ].
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H238 | zenon_intro zenon_H25c ].
% 51.50/51.67 apply (zenon_L260_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H23b | zenon_intro zenon_H25d ].
% 51.50/51.67 apply (zenon_L182_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H252 | zenon_intro zenon_H1cd ].
% 51.50/51.67 apply (zenon_L536_); trivial.
% 51.50/51.67 apply (zenon_L704_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H256 | zenon_intro zenon_H1ab ].
% 51.50/51.67 apply (zenon_L429_); trivial.
% 51.50/51.67 apply (zenon_L132_); trivial.
% 51.50/51.67 apply (zenon_L534_); trivial.
% 51.50/51.67 apply (zenon_L234_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H524); [ zenon_intro zenon_H151 | zenon_intro zenon_H525 ].
% 51.50/51.67 apply (zenon_L113_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H525); [ zenon_intro zenon_H156 | zenon_intro zenon_H1a5 ].
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H13c | zenon_intro zenon_H2b0 ].
% 51.50/51.67 apply (zenon_L114_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H16d | zenon_intro zenon_H2b1 ].
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_H237 | zenon_intro zenon_H2a8 ].
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H15f | zenon_intro zenon_H28f ].
% 51.50/51.67 apply (zenon_L116_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H165 | zenon_intro zenon_H290 ].
% 51.50/51.67 apply (zenon_L117_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H169 | zenon_intro zenon_H175 ].
% 51.50/51.67 apply (zenon_L118_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H15f | zenon_intro zenon_H291 ].
% 51.50/51.67 apply (zenon_L116_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H291); [ zenon_intro zenon_H16e | zenon_intro zenon_H292 ].
% 51.50/51.67 apply (zenon_L120_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H292); [ zenon_intro zenon_H176 | zenon_intro zenon_H21c ].
% 51.50/51.67 apply (zenon_L707_); trivial.
% 51.50/51.67 apply (zenon_L195_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H2a8); [ zenon_intro zenon_H25e | zenon_intro zenon_H2a9 ].
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H2a7); [ zenon_intro zenon_H237 | zenon_intro zenon_H2aa ].
% 51.50/51.67 apply (zenon_L196_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H2aa); [ zenon_intro zenon_H280 | zenon_intro zenon_H2ab ].
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H15f | zenon_intro zenon_H28f ].
% 51.50/51.67 apply (zenon_L116_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H165 | zenon_intro zenon_H290 ].
% 51.50/51.67 apply (zenon_L117_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H169 | zenon_intro zenon_H175 ].
% 51.50/51.67 apply (zenon_L118_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H15f | zenon_intro zenon_H291 ].
% 51.50/51.67 apply (zenon_L116_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H291); [ zenon_intro zenon_H16e | zenon_intro zenon_H292 ].
% 51.50/51.67 apply (zenon_L120_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H292); [ zenon_intro zenon_H176 | zenon_intro zenon_H21c ].
% 51.50/51.67 apply (zenon_L707_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H169 | zenon_intro zenon_H233 ].
% 51.50/51.67 apply (zenon_L118_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H17f | zenon_intro zenon_H234 ].
% 51.50/51.67 apply (zenon_L722_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H234); [ zenon_intro zenon_H19e | zenon_intro zenon_H1d8 ].
% 51.50/51.67 apply (zenon_L723_); trivial.
% 51.50/51.67 apply (zenon_L157_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H2ab); [ zenon_intro zenon_H26e | zenon_intro zenon_H218 ].
% 51.50/51.67 apply (zenon_L232_); trivial.
% 51.50/51.67 apply (zenon_L156_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H2a9); [ zenon_intro zenon_H293 | zenon_intro zenon_H295 ].
% 51.50/51.67 apply (zenon_L233_); trivial.
% 51.50/51.67 apply (zenon_L234_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H266 | zenon_intro zenon_H1fe ].
% 51.50/51.67 apply (zenon_L257_); trivial.
% 51.50/51.67 apply (zenon_L151_); trivial.
% 51.50/51.67 apply (zenon_L183_); trivial.
% 51.50/51.67 apply (zenon_notand_s _ _ zenon_H52f); [ zenon_intro zenon_H3ec | zenon_intro zenon_H530 ].
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H47d); [ zenon_intro zenon_H13c | zenon_intro zenon_H524 ].
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_H237 | zenon_intro zenon_H2a8 ].
% 51.50/51.67 apply (zenon_L259_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H2a8); [ zenon_intro zenon_H25e | zenon_intro zenon_H2a9 ].
% 51.50/51.67 apply (zenon_L280_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H2a9); [ zenon_intro zenon_H293 | zenon_intro zenon_H295 ].
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H15f | zenon_intro zenon_H28f ].
% 51.50/51.67 apply (zenon_L116_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H165 | zenon_intro zenon_H290 ].
% 51.50/51.67 apply (zenon_L117_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H169 | zenon_intro zenon_H175 ].
% 51.50/51.67 apply (zenon_L118_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H238 | zenon_intro zenon_H25a ].
% 51.50/51.67 apply (zenon_L260_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H244 | zenon_intro zenon_H25b ].
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H238 | zenon_intro zenon_H25c ].
% 51.50/51.67 apply (zenon_L260_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H23b | zenon_intro zenon_H25d ].
% 51.50/51.67 apply (zenon_L182_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H252 | zenon_intro zenon_H1cd ].
% 51.50/51.67 apply (zenon_L751_); trivial.
% 51.50/51.67 apply (zenon_L752_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H256 | zenon_intro zenon_H1ab ].
% 51.50/51.67 apply (zenon_L429_); trivial.
% 51.50/51.67 apply (zenon_L194_); trivial.
% 51.50/51.67 apply (zenon_L234_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H524); [ zenon_intro zenon_H151 | zenon_intro zenon_H525 ].
% 51.50/51.67 apply (zenon_L113_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H525); [ zenon_intro zenon_H156 | zenon_intro zenon_H1a5 ].
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H13c | zenon_intro zenon_H2b0 ].
% 51.50/51.67 apply (zenon_L114_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H16d | zenon_intro zenon_H2b1 ].
% 51.50/51.67 apply (zenon_L754_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H266 | zenon_intro zenon_H1fe ].
% 51.50/51.67 apply (zenon_L257_); trivial.
% 51.50/51.67 apply (zenon_L151_); trivial.
% 51.50/51.67 apply (zenon_L183_); trivial.
% 51.50/51.67 apply (zenon_notand_s _ _ zenon_H530); [ zenon_intro zenon_H3f8 | zenon_intro zenon_H531 ].
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H47d); [ zenon_intro zenon_H13c | zenon_intro zenon_H524 ].
% 51.50/51.67 apply (zenon_L781_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H524); [ zenon_intro zenon_H151 | zenon_intro zenon_H525 ].
% 51.50/51.67 apply (zenon_L113_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H525); [ zenon_intro zenon_H156 | zenon_intro zenon_H1a5 ].
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H13c | zenon_intro zenon_H2b0 ].
% 51.50/51.67 apply (zenon_L114_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H16d | zenon_intro zenon_H2b1 ].
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_H237 | zenon_intro zenon_H2a8 ].
% 51.50/51.67 apply (zenon_L782_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H2a8); [ zenon_intro zenon_H25e | zenon_intro zenon_H2a9 ].
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H2a7); [ zenon_intro zenon_H237 | zenon_intro zenon_H2aa ].
% 51.50/51.67 apply (zenon_L196_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H2aa); [ zenon_intro zenon_H280 | zenon_intro zenon_H2ab ].
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H15f | zenon_intro zenon_H28f ].
% 51.50/51.67 apply (zenon_L116_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H165 | zenon_intro zenon_H290 ].
% 51.50/51.67 apply (zenon_L117_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H169 | zenon_intro zenon_H175 ].
% 51.50/51.67 apply (zenon_L118_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H15f | zenon_intro zenon_H291 ].
% 51.50/51.67 apply (zenon_L116_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H291); [ zenon_intro zenon_H16e | zenon_intro zenon_H292 ].
% 51.50/51.67 apply (zenon_L120_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H292); [ zenon_intro zenon_H176 | zenon_intro zenon_H21c ].
% 51.50/51.67 apply (zenon_L780_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H214); [ zenon_intro zenon_H1fe | zenon_intro zenon_H215 ].
% 51.50/51.67 apply (zenon_L151_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H203 | zenon_intro zenon_H216 ].
% 51.50/51.67 apply (zenon_L789_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H208 | zenon_intro zenon_H20f ].
% 51.50/51.67 apply (zenon_L153_); trivial.
% 51.50/51.67 apply (zenon_L154_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H2ab); [ zenon_intro zenon_H26e | zenon_intro zenon_H218 ].
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H15f | zenon_intro zenon_H28f ].
% 51.50/51.67 apply (zenon_L116_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H165 | zenon_intro zenon_H290 ].
% 51.50/51.67 apply (zenon_L117_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H169 | zenon_intro zenon_H175 ].
% 51.50/51.67 apply (zenon_L118_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H15f | zenon_intro zenon_H291 ].
% 51.50/51.67 apply (zenon_L116_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H291); [ zenon_intro zenon_H16e | zenon_intro zenon_H292 ].
% 51.50/51.67 apply (zenon_L120_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H292); [ zenon_intro zenon_H176 | zenon_intro zenon_H21c ].
% 51.50/51.67 apply (zenon_L780_); trivial.
% 51.50/51.67 apply (zenon_L231_); trivial.
% 51.50/51.67 apply (zenon_L156_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H2a9); [ zenon_intro zenon_H293 | zenon_intro zenon_H295 ].
% 51.50/51.67 apply (zenon_L233_); trivial.
% 51.50/51.67 apply (zenon_L234_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H266 | zenon_intro zenon_H1fe ].
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H2a7); [ zenon_intro zenon_H237 | zenon_intro zenon_H2aa ].
% 51.50/51.67 apply (zenon_L245_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H2aa); [ zenon_intro zenon_H280 | zenon_intro zenon_H2ab ].
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H15f | zenon_intro zenon_H28f ].
% 51.50/51.67 apply (zenon_L116_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H165 | zenon_intro zenon_H290 ].
% 51.50/51.67 apply (zenon_L117_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H169 | zenon_intro zenon_H175 ].
% 51.50/51.67 apply (zenon_L118_); trivial.
% 51.50/51.67 apply (zenon_L784_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H2ab); [ zenon_intro zenon_H26e | zenon_intro zenon_H218 ].
% 51.50/51.67 apply (zenon_L256_); trivial.
% 51.50/51.67 apply (zenon_L156_); trivial.
% 51.50/51.67 apply (zenon_L151_); trivial.
% 51.50/51.67 apply (zenon_L183_); trivial.
% 51.50/51.67 apply (zenon_notand_s _ _ zenon_H531); [ zenon_intro zenon_H3fe | zenon_intro zenon_H532 ].
% 51.50/51.67 apply (zenon_L791_); trivial.
% 51.50/51.67 apply (zenon_notand_s _ _ zenon_H532); [ zenon_intro zenon_H40d | zenon_intro zenon_H533 ].
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H47d); [ zenon_intro zenon_H13c | zenon_intro zenon_H524 ].
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_H237 | zenon_intro zenon_H2a8 ].
% 51.50/51.67 apply (zenon_L826_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H2a8); [ zenon_intro zenon_H25e | zenon_intro zenon_H2a9 ].
% 51.50/51.67 apply (zenon_L280_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H2a9); [ zenon_intro zenon_H293 | zenon_intro zenon_H295 ].
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H15f | zenon_intro zenon_H28f ].
% 51.50/51.67 apply (zenon_L116_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H165 | zenon_intro zenon_H290 ].
% 51.50/51.67 apply (zenon_L117_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H169 | zenon_intro zenon_H175 ].
% 51.50/51.67 apply (zenon_L118_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H238 | zenon_intro zenon_H25a ].
% 51.50/51.67 apply (zenon_L260_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H244 | zenon_intro zenon_H25b ].
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H238 | zenon_intro zenon_H25c ].
% 51.50/51.67 apply (zenon_L260_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H23b | zenon_intro zenon_H25d ].
% 51.50/51.67 apply (zenon_L182_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H252 | zenon_intro zenon_H1cd ].
% 51.50/51.67 apply (zenon_L822_); trivial.
% 51.50/51.67 apply (zenon_L824_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H256 | zenon_intro zenon_H1ab ].
% 51.50/51.67 apply (zenon_L429_); trivial.
% 51.50/51.67 apply (zenon_L132_); trivial.
% 51.50/51.67 apply (zenon_L234_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H524); [ zenon_intro zenon_H151 | zenon_intro zenon_H525 ].
% 51.50/51.67 apply (zenon_L113_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H525); [ zenon_intro zenon_H156 | zenon_intro zenon_H1a5 ].
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H13c | zenon_intro zenon_H2b0 ].
% 51.50/51.67 apply (zenon_L114_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H16d | zenon_intro zenon_H2b1 ].
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_H237 | zenon_intro zenon_H2a8 ].
% 51.50/51.67 apply (zenon_L826_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H2a8); [ zenon_intro zenon_H25e | zenon_intro zenon_H2a9 ].
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H2a7); [ zenon_intro zenon_H237 | zenon_intro zenon_H2aa ].
% 51.50/51.67 apply (zenon_L196_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H2aa); [ zenon_intro zenon_H280 | zenon_intro zenon_H2ab ].
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H15f | zenon_intro zenon_H28f ].
% 51.50/51.67 apply (zenon_L116_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H165 | zenon_intro zenon_H290 ].
% 51.50/51.67 apply (zenon_L117_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H169 | zenon_intro zenon_H175 ].
% 51.50/51.67 apply (zenon_L118_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H15f | zenon_intro zenon_H291 ].
% 51.50/51.67 apply (zenon_L116_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H291); [ zenon_intro zenon_H16e | zenon_intro zenon_H292 ].
% 51.50/51.67 apply (zenon_L120_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H292); [ zenon_intro zenon_H176 | zenon_intro zenon_H21c ].
% 51.50/51.67 apply (zenon_L828_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H214); [ zenon_intro zenon_H1fe | zenon_intro zenon_H215 ].
% 51.50/51.67 apply (zenon_L151_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H203 | zenon_intro zenon_H216 ].
% 51.50/51.67 apply (zenon_L837_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H208 | zenon_intro zenon_H20f ].
% 51.50/51.67 apply (zenon_L153_); trivial.
% 51.50/51.67 apply (zenon_L154_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H2ab); [ zenon_intro zenon_H26e | zenon_intro zenon_H218 ].
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H15f | zenon_intro zenon_H28f ].
% 51.50/51.67 apply (zenon_L116_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H165 | zenon_intro zenon_H290 ].
% 51.50/51.67 apply (zenon_L117_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H169 | zenon_intro zenon_H175 ].
% 51.50/51.67 apply (zenon_L118_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H214); [ zenon_intro zenon_H1fe | zenon_intro zenon_H215 ].
% 51.50/51.67 apply (zenon_L151_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H203 | zenon_intro zenon_H216 ].
% 51.50/51.67 apply (zenon_L839_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H208 | zenon_intro zenon_H20f ].
% 51.50/51.67 apply (zenon_L153_); trivial.
% 51.50/51.67 apply (zenon_L154_); trivial.
% 51.50/51.67 apply (zenon_L156_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H2a9); [ zenon_intro zenon_H293 | zenon_intro zenon_H295 ].
% 51.50/51.67 apply (zenon_L233_); trivial.
% 51.50/51.67 apply (zenon_L234_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H266 | zenon_intro zenon_H1fe ].
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_H237 | zenon_intro zenon_H2a8 ].
% 51.50/51.67 apply (zenon_L245_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H2a8); [ zenon_intro zenon_H25e | zenon_intro zenon_H2a9 ].
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H2a7); [ zenon_intro zenon_H237 | zenon_intro zenon_H2aa ].
% 51.50/51.67 apply (zenon_L196_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H2aa); [ zenon_intro zenon_H280 | zenon_intro zenon_H2ab ].
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H15f | zenon_intro zenon_H28f ].
% 51.50/51.67 apply (zenon_L116_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H165 | zenon_intro zenon_H290 ].
% 51.50/51.67 apply (zenon_L117_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H169 | zenon_intro zenon_H175 ].
% 51.50/51.67 apply (zenon_L118_); trivial.
% 51.50/51.67 apply (zenon_L831_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H2ab); [ zenon_intro zenon_H26e | zenon_intro zenon_H218 ].
% 51.50/51.67 apply (zenon_L256_); trivial.
% 51.50/51.67 apply (zenon_L156_); trivial.
% 51.50/51.67 apply (zenon_or_s _ _ zenon_H2a9); [ zenon_intro zenon_H293 | zenon_intro zenon_H295 ].
% 51.50/51.67 apply (zenon_L233_); trivial.
% 51.50/51.67 apply (zenon_L234_); trivial.
% 51.50/51.67 apply (zenon_L151_); trivial.
% 51.50/51.67 apply (zenon_L183_); trivial.
% 51.50/51.67 apply (zenon_notand_s _ _ zenon_H533); [ zenon_intro zenon_H413 | zenon_intro zenon_H534 ].
% 51.50/51.67 apply (zenon_L840_); trivial.
% 51.50/51.67 apply (zenon_notand_s _ _ zenon_H534); [ zenon_intro zenon_H419 | zenon_intro zenon_H535 ].
% 51.50/51.67 apply (zenon_L841_); trivial.
% 51.50/51.67 apply (zenon_notand_s _ _ zenon_H535); [ zenon_intro zenon_H41b | zenon_intro zenon_H536 ].
% 51.50/51.67 apply (zenon_L842_); trivial.
% 51.50/51.67 apply (zenon_notand_s _ _ zenon_H536); [ zenon_intro zenon_H41f | zenon_intro zenon_H425 ].
% 51.50/51.67 apply (zenon_L843_); trivial.
% 51.50/51.67 apply (zenon_L844_); trivial.
% 51.50/51.67 Qed.
% 51.50/51.67 % SZS output end Proof
% 51.50/51.67 (* END-PROOF *)
% 51.50/51.67 nodes searched: 1818021
% 51.50/51.67 max branch formulas: 2197
% 51.50/51.67 proof nodes created: 31220
% 51.50/51.67 formulas created: 1019749
% 51.50/51.67
%------------------------------------------------------------------------------