TSTP Solution File: ALG120+1 by Zenon---0.7.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : ALG120+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n029.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 18:29:32 EDT 2022
% Result : Theorem 42.98s 43.18s
% Output : Proof 43.34s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : ALG120+1 : TPTP v8.1.0. Released v2.7.0.
% 0.11/0.12 % Command : run_zenon %s %d
% 0.12/0.33 % Computer : n029.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 : Thu Jun 9 01:21:36 EDT 2022
% 0.12/0.33 % CPUTime :
% 42.98/43.18 (* PROOF-FOUND *)
% 42.98/43.18 % SZS status Theorem
% 42.98/43.18 (* BEGIN-PROOF *)
% 42.98/43.18 % SZS output start Proof
% 42.98/43.18 Theorem co1 : ((((h1 (op1 (e10) (e10))) = (op2 (h1 (e10)) (h1 (e10))))/\(((h1 (op1 (e10) (e11))) = (op2 (h1 (e10)) (h1 (e11))))/\(((h1 (op1 (e10) (e12))) = (op2 (h1 (e10)) (h1 (e12))))/\(((h1 (op1 (e10) (e13))) = (op2 (h1 (e10)) (h1 (e13))))/\(((h1 (op1 (e11) (e10))) = (op2 (h1 (e11)) (h1 (e10))))/\(((h1 (op1 (e11) (e11))) = (op2 (h1 (e11)) (h1 (e11))))/\(((h1 (op1 (e11) (e12))) = (op2 (h1 (e11)) (h1 (e12))))/\(((h1 (op1 (e11) (e13))) = (op2 (h1 (e11)) (h1 (e13))))/\(((h1 (op1 (e12) (e10))) = (op2 (h1 (e12)) (h1 (e10))))/\(((h1 (op1 (e12) (e11))) = (op2 (h1 (e12)) (h1 (e11))))/\(((h1 (op1 (e12) (e12))) = (op2 (h1 (e12)) (h1 (e12))))/\(((h1 (op1 (e12) (e13))) = (op2 (h1 (e12)) (h1 (e13))))/\(((h1 (op1 (e13) (e10))) = (op2 (h1 (e13)) (h1 (e10))))/\(((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))/\(((h1 (op1 (e13) (e12))) = (op2 (h1 (e13)) (h1 (e12))))/\(((h1 (op1 (e13) (e13))) = (op2 (h1 (e13)) (h1 (e13))))/\((((h1 (e10)) = (e20))\/(((h1 (e11)) = (e20))\/(((h1 (e12)) = (e20))\/((h1 (e13)) = (e20)))))/\((((h1 (e10)) = (e21))\/(((h1 (e11)) = (e21))\/(((h1 (e12)) = (e21))\/((h1 (e13)) = (e21)))))/\((((h1 (e10)) = (e22))\/(((h1 (e11)) = (e22))\/(((h1 (e12)) = (e22))\/((h1 (e13)) = (e22)))))/\(((h1 (e10)) = (e23))\/(((h1 (e11)) = (e23))\/(((h1 (e12)) = (e23))\/((h1 (e13)) = (e23))))))))))))))))))))))))\/((((h2 (op1 (e10) (e10))) = (op2 (h2 (e10)) (h2 (e10))))/\(((h2 (op1 (e10) (e11))) = (op2 (h2 (e10)) (h2 (e11))))/\(((h2 (op1 (e10) (e12))) = (op2 (h2 (e10)) (h2 (e12))))/\(((h2 (op1 (e10) (e13))) = (op2 (h2 (e10)) (h2 (e13))))/\(((h2 (op1 (e11) (e10))) = (op2 (h2 (e11)) (h2 (e10))))/\(((h2 (op1 (e11) (e11))) = (op2 (h2 (e11)) (h2 (e11))))/\(((h2 (op1 (e11) (e12))) = (op2 (h2 (e11)) (h2 (e12))))/\(((h2 (op1 (e11) (e13))) = (op2 (h2 (e11)) (h2 (e13))))/\(((h2 (op1 (e12) (e10))) = (op2 (h2 (e12)) (h2 (e10))))/\(((h2 (op1 (e12) (e11))) = (op2 (h2 (e12)) (h2 (e11))))/\(((h2 (op1 (e12) (e12))) = (op2 (h2 (e12)) (h2 (e12))))/\(((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))/\(((h2 (op1 (e13) (e10))) = (op2 (h2 (e13)) (h2 (e10))))/\(((h2 (op1 (e13) (e11))) = (op2 (h2 (e13)) (h2 (e11))))/\(((h2 (op1 (e13) (e12))) = (op2 (h2 (e13)) (h2 (e12))))/\(((h2 (op1 (e13) (e13))) = (op2 (h2 (e13)) (h2 (e13))))/\((((h2 (e10)) = (e20))\/(((h2 (e11)) = (e20))\/(((h2 (e12)) = (e20))\/((h2 (e13)) = (e20)))))/\((((h2 (e10)) = (e21))\/(((h2 (e11)) = (e21))\/(((h2 (e12)) = (e21))\/((h2 (e13)) = (e21)))))/\((((h2 (e10)) = (e22))\/(((h2 (e11)) = (e22))\/(((h2 (e12)) = (e22))\/((h2 (e13)) = (e22)))))/\(((h2 (e10)) = (e23))\/(((h2 (e11)) = (e23))\/(((h2 (e12)) = (e23))\/((h2 (e13)) = (e23))))))))))))))))))))))))\/((((h3 (op1 (e10) (e10))) = (op2 (h3 (e10)) (h3 (e10))))/\(((h3 (op1 (e10) (e11))) = (op2 (h3 (e10)) (h3 (e11))))/\(((h3 (op1 (e10) (e12))) = (op2 (h3 (e10)) (h3 (e12))))/\(((h3 (op1 (e10) (e13))) = (op2 (h3 (e10)) (h3 (e13))))/\(((h3 (op1 (e11) (e10))) = (op2 (h3 (e11)) (h3 (e10))))/\(((h3 (op1 (e11) (e11))) = (op2 (h3 (e11)) (h3 (e11))))/\(((h3 (op1 (e11) (e12))) = (op2 (h3 (e11)) (h3 (e12))))/\(((h3 (op1 (e11) (e13))) = (op2 (h3 (e11)) (h3 (e13))))/\(((h3 (op1 (e12) (e10))) = (op2 (h3 (e12)) (h3 (e10))))/\(((h3 (op1 (e12) (e11))) = (op2 (h3 (e12)) (h3 (e11))))/\(((h3 (op1 (e12) (e12))) = (op2 (h3 (e12)) (h3 (e12))))/\(((h3 (op1 (e12) (e13))) = (op2 (h3 (e12)) (h3 (e13))))/\(((h3 (op1 (e13) (e10))) = (op2 (h3 (e13)) (h3 (e10))))/\(((h3 (op1 (e13) (e11))) = (op2 (h3 (e13)) (h3 (e11))))/\(((h3 (op1 (e13) (e12))) = (op2 (h3 (e13)) (h3 (e12))))/\(((h3 (op1 (e13) (e13))) = (op2 (h3 (e13)) (h3 (e13))))/\((((h3 (e10)) = (e20))\/(((h3 (e11)) = (e20))\/(((h3 (e12)) = (e20))\/((h3 (e13)) = (e20)))))/\((((h3 (e10)) = (e21))\/(((h3 (e11)) = (e21))\/(((h3 (e12)) = (e21))\/((h3 (e13)) = (e21)))))/\((((h3 (e10)) = (e22))\/(((h3 (e11)) = (e22))\/(((h3 (e12)) = (e22))\/((h3 (e13)) = (e22)))))/\(((h3 (e10)) = (e23))\/(((h3 (e11)) = (e23))\/(((h3 (e12)) = (e23))\/((h3 (e13)) = (e23))))))))))))))))))))))))\/(((h4 (op1 (e10) (e10))) = (op2 (h4 (e10)) (h4 (e10))))/\(((h4 (op1 (e10) (e11))) = (op2 (h4 (e10)) (h4 (e11))))/\(((h4 (op1 (e10) (e12))) = (op2 (h4 (e10)) (h4 (e12))))/\(((h4 (op1 (e10) (e13))) = (op2 (h4 (e10)) (h4 (e13))))/\(((h4 (op1 (e11) (e10))) = (op2 (h4 (e11)) (h4 (e10))))/\(((h4 (op1 (e11) (e11))) = (op2 (h4 (e11)) (h4 (e11))))/\(((h4 (op1 (e11) (e12))) = (op2 (h4 (e11)) (h4 (e12))))/\(((h4 (op1 (e11) (e13))) = (op2 (h4 (e11)) (h4 (e13))))/\(((h4 (op1 (e12) (e10))) = (op2 (h4 (e12)) (h4 (e10))))/\(((h4 (op1 (e12) (e11))) = (op2 (h4 (e12)) (h4 (e11))))/\(((h4 (op1 (e12) (e12))) = (op2 (h4 (e12)) (h4 (e12))))/\(((h4 (op1 (e12) (e13))) = (op2 (h4 (e12)) (h4 (e13))))/\(((h4 (op1 (e13) (e10))) = (op2 (h4 (e13)) (h4 (e10))))/\(((h4 (op1 (e13) (e11))) = (op2 (h4 (e13)) (h4 (e11))))/\(((h4 (op1 (e13) (e12))) = (op2 (h4 (e13)) (h4 (e12))))/\(((h4 (op1 (e13) (e13))) = (op2 (h4 (e13)) (h4 (e13))))/\((((h4 (e10)) = (e20))\/(((h4 (e11)) = (e20))\/(((h4 (e12)) = (e20))\/((h4 (e13)) = (e20)))))/\((((h4 (e10)) = (e21))\/(((h4 (e11)) = (e21))\/(((h4 (e12)) = (e21))\/((h4 (e13)) = (e21)))))/\((((h4 (e10)) = (e22))\/(((h4 (e11)) = (e22))\/(((h4 (e12)) = (e22))\/((h4 (e13)) = (e22)))))/\(((h4 (e10)) = (e23))\/(((h4 (e11)) = (e23))\/(((h4 (e12)) = (e23))\/((h4 (e13)) = (e23))))))))))))))))))))))))))).
% 42.98/43.18 Proof.
% 42.98/43.18 assert (zenon_L1_ : (~((e20) = (e20))) -> False).
% 42.98/43.18 do 0 intro. intros zenon_H12.
% 42.98/43.18 apply zenon_H12. apply refl_equal.
% 42.98/43.18 (* end of lemma zenon_L1_ *)
% 42.98/43.18 assert (zenon_L2_ : (~((op2 (e20) (op2 (e20) (e20))) = (op2 (e20) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> False).
% 42.98/43.18 do 0 intro. intros zenon_H13 zenon_H14.
% 42.98/43.18 cut (((op2 (e20) (e20)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H15].
% 42.98/43.18 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H12].
% 42.98/43.18 congruence.
% 42.98/43.18 apply zenon_H12. apply refl_equal.
% 42.98/43.18 exact (zenon_H15 zenon_H14).
% 42.98/43.18 (* end of lemma zenon_L2_ *)
% 42.98/43.18 assert (zenon_L3_ : (~((op2 (e20) (op2 (e20) (e20))) = (e20))) -> ((op2 (e20) (e20)) = (e20)) -> False).
% 42.98/43.18 do 0 intro. intros zenon_H16 zenon_H14.
% 42.98/43.18 cut (((op2 (e20) (e20)) = (e20)) = ((op2 (e20) (op2 (e20) (e20))) = (e20))).
% 42.98/43.18 intro zenon_D_pnotp.
% 42.98/43.18 apply zenon_H16.
% 42.98/43.18 rewrite <- zenon_D_pnotp.
% 42.98/43.18 exact zenon_H14.
% 42.98/43.18 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H12].
% 42.98/43.18 cut (((op2 (e20) (e20)) = (op2 (e20) (op2 (e20) (e20))))); [idtac | apply NNPP; zenon_intro zenon_H17].
% 42.98/43.18 congruence.
% 42.98/43.18 elim (classic ((op2 (e20) (op2 (e20) (e20))) = (op2 (e20) (op2 (e20) (e20))))); [ zenon_intro zenon_H18 | zenon_intro zenon_H19 ].
% 42.98/43.18 cut (((op2 (e20) (op2 (e20) (e20))) = (op2 (e20) (op2 (e20) (e20)))) = ((op2 (e20) (e20)) = (op2 (e20) (op2 (e20) (e20))))).
% 42.98/43.18 intro zenon_D_pnotp.
% 42.98/43.18 apply zenon_H17.
% 42.98/43.18 rewrite <- zenon_D_pnotp.
% 42.98/43.18 exact zenon_H18.
% 42.98/43.18 cut (((op2 (e20) (op2 (e20) (e20))) = (op2 (e20) (op2 (e20) (e20))))); [idtac | apply NNPP; zenon_intro zenon_H19].
% 42.98/43.18 cut (((op2 (e20) (op2 (e20) (e20))) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H13].
% 42.98/43.18 congruence.
% 42.98/43.18 apply (zenon_L2_); trivial.
% 42.98/43.18 apply zenon_H19. apply refl_equal.
% 42.98/43.18 apply zenon_H19. apply refl_equal.
% 42.98/43.18 apply zenon_H12. apply refl_equal.
% 42.98/43.18 (* end of lemma zenon_L3_ *)
% 42.98/43.18 assert (zenon_L4_ : (((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23)))))))) -> False).
% 42.98/43.18 do 0 intro. intros zenon_H1a.
% 42.98/43.18 apply (zenon_and_s _ _ zenon_H1a). zenon_intro zenon_H14. zenon_intro zenon_H1b.
% 42.98/43.18 apply (zenon_and_s _ _ zenon_H1b). zenon_intro zenon_H14. zenon_intro zenon_H1c.
% 42.98/43.18 apply (zenon_and_s _ _ zenon_H1c). zenon_intro zenon_H16. zenon_intro zenon_H1d.
% 42.98/43.18 apply (zenon_L3_); trivial.
% 42.98/43.18 (* end of lemma zenon_L4_ *)
% 42.98/43.18 assert (zenon_L5_ : (~((e10) = (e10))) -> False).
% 42.98/43.18 do 0 intro. intros zenon_H1e.
% 42.98/43.18 apply zenon_H1e. apply refl_equal.
% 42.98/43.18 (* end of lemma zenon_L5_ *)
% 42.98/43.18 assert (zenon_L6_ : (~((op1 (e10) (op1 (e10) (e10))) = (op1 (e10) (e10)))) -> ((op1 (e10) (e10)) = (e10)) -> False).
% 42.98/43.18 do 0 intro. intros zenon_H1f zenon_H20.
% 42.98/43.18 cut (((op1 (e10) (e10)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H21].
% 42.98/43.18 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H1e].
% 42.98/43.18 congruence.
% 42.98/43.18 apply zenon_H1e. apply refl_equal.
% 42.98/43.18 exact (zenon_H21 zenon_H20).
% 42.98/43.18 (* end of lemma zenon_L6_ *)
% 42.98/43.18 assert (zenon_L7_ : (~((op1 (e10) (op1 (e10) (e10))) = (e10))) -> ((op1 (e10) (e10)) = (e10)) -> False).
% 42.98/43.18 do 0 intro. intros zenon_H22 zenon_H20.
% 42.98/43.18 cut (((op1 (e10) (e10)) = (e10)) = ((op1 (e10) (op1 (e10) (e10))) = (e10))).
% 42.98/43.18 intro zenon_D_pnotp.
% 42.98/43.18 apply zenon_H22.
% 42.98/43.18 rewrite <- zenon_D_pnotp.
% 42.98/43.18 exact zenon_H20.
% 42.98/43.18 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H1e].
% 42.98/43.18 cut (((op1 (e10) (e10)) = (op1 (e10) (op1 (e10) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H23].
% 42.98/43.18 congruence.
% 42.98/43.18 elim (classic ((op1 (e10) (op1 (e10) (e10))) = (op1 (e10) (op1 (e10) (e10))))); [ zenon_intro zenon_H24 | zenon_intro zenon_H25 ].
% 42.98/43.18 cut (((op1 (e10) (op1 (e10) (e10))) = (op1 (e10) (op1 (e10) (e10)))) = ((op1 (e10) (e10)) = (op1 (e10) (op1 (e10) (e10))))).
% 42.98/43.18 intro zenon_D_pnotp.
% 42.98/43.18 apply zenon_H23.
% 42.98/43.18 rewrite <- zenon_D_pnotp.
% 42.98/43.18 exact zenon_H24.
% 42.98/43.18 cut (((op1 (e10) (op1 (e10) (e10))) = (op1 (e10) (op1 (e10) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H25].
% 42.98/43.18 cut (((op1 (e10) (op1 (e10) (e10))) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H1f].
% 42.98/43.18 congruence.
% 42.98/43.18 apply (zenon_L6_); trivial.
% 42.98/43.18 apply zenon_H25. apply refl_equal.
% 42.98/43.18 apply zenon_H25. apply refl_equal.
% 42.98/43.18 apply zenon_H1e. apply refl_equal.
% 42.98/43.18 (* end of lemma zenon_L7_ *)
% 42.98/43.18 assert (zenon_L8_ : (((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13)))))))) -> False).
% 42.98/43.18 do 0 intro. intros zenon_H26.
% 42.98/43.18 apply (zenon_and_s _ _ zenon_H26). zenon_intro zenon_H20. zenon_intro zenon_H27.
% 42.98/43.18 apply (zenon_and_s _ _ zenon_H27). zenon_intro zenon_H20. zenon_intro zenon_H28.
% 42.98/43.18 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H22. zenon_intro zenon_H29.
% 42.98/43.18 apply (zenon_L7_); trivial.
% 42.98/43.18 (* end of lemma zenon_L8_ *)
% 42.98/43.18 assert (zenon_L9_ : (~((h3 (e10)) = (e20))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> False).
% 42.98/43.18 do 0 intro. intros zenon_H2a zenon_H2b zenon_H2c.
% 42.98/43.18 cut (((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) = ((h3 (e10)) = (e20))).
% 42.98/43.18 intro zenon_D_pnotp.
% 42.98/43.18 apply zenon_H2a.
% 42.98/43.18 rewrite <- zenon_D_pnotp.
% 42.98/43.18 exact zenon_H2b.
% 42.98/43.18 cut (((op2 (op2 (e22) (e22)) (e22)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H2d].
% 42.98/43.18 cut (((h3 (e10)) = (h3 (e10)))); [idtac | apply NNPP; zenon_intro zenon_H2e].
% 42.98/43.18 congruence.
% 42.98/43.18 apply zenon_H2e. apply refl_equal.
% 42.98/43.18 apply zenon_H2d. apply sym_equal. exact zenon_H2c.
% 42.98/43.18 (* end of lemma zenon_L9_ *)
% 42.98/43.18 assert (zenon_L10_ : (~((h3 (op1 (e10) (e10))) = (op2 (h3 (e10)) (h3 (e10))))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> ((op1 (e10) (e10)) = (e13)) -> ((op2 (e20) (e20)) = (e23)) -> ((e23) = (op2 (e22) (e22))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> False).
% 42.98/43.18 do 0 intro. intros zenon_H2f zenon_H30 zenon_H31 zenon_H32 zenon_H33 zenon_H2b zenon_H2c.
% 42.98/43.18 cut (((h3 (e13)) = (op2 (e22) (e22))) = ((h3 (op1 (e10) (e10))) = (op2 (h3 (e10)) (h3 (e10))))).
% 42.98/43.18 intro zenon_D_pnotp.
% 42.98/43.18 apply zenon_H2f.
% 42.98/43.18 rewrite <- zenon_D_pnotp.
% 42.98/43.18 exact zenon_H30.
% 42.98/43.18 cut (((op2 (e22) (e22)) = (op2 (h3 (e10)) (h3 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H34].
% 42.98/43.18 cut (((h3 (e13)) = (h3 (op1 (e10) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H35].
% 42.98/43.18 congruence.
% 42.98/43.18 elim (classic ((h3 (op1 (e10) (e10))) = (h3 (op1 (e10) (e10))))); [ zenon_intro zenon_H36 | zenon_intro zenon_H37 ].
% 42.98/43.18 cut (((h3 (op1 (e10) (e10))) = (h3 (op1 (e10) (e10)))) = ((h3 (e13)) = (h3 (op1 (e10) (e10))))).
% 42.98/43.18 intro zenon_D_pnotp.
% 42.98/43.18 apply zenon_H35.
% 42.98/43.18 rewrite <- zenon_D_pnotp.
% 42.98/43.18 exact zenon_H36.
% 42.98/43.18 cut (((h3 (op1 (e10) (e10))) = (h3 (op1 (e10) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H37].
% 42.98/43.18 cut (((h3 (op1 (e10) (e10))) = (h3 (e13)))); [idtac | apply NNPP; zenon_intro zenon_H38].
% 42.98/43.18 congruence.
% 42.98/43.18 cut (((op1 (e10) (e10)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H39].
% 42.98/43.18 congruence.
% 42.98/43.18 exact (zenon_H39 zenon_H31).
% 42.98/43.18 apply zenon_H37. apply refl_equal.
% 42.98/43.18 apply zenon_H37. apply refl_equal.
% 42.98/43.18 elim (classic ((op2 (h3 (e10)) (h3 (e10))) = (op2 (h3 (e10)) (h3 (e10))))); [ zenon_intro zenon_H3a | zenon_intro zenon_H3b ].
% 42.98/43.18 cut (((op2 (h3 (e10)) (h3 (e10))) = (op2 (h3 (e10)) (h3 (e10)))) = ((op2 (e22) (e22)) = (op2 (h3 (e10)) (h3 (e10))))).
% 42.98/43.18 intro zenon_D_pnotp.
% 42.98/43.18 apply zenon_H34.
% 42.98/43.18 rewrite <- zenon_D_pnotp.
% 42.98/43.18 exact zenon_H3a.
% 42.98/43.18 cut (((op2 (h3 (e10)) (h3 (e10))) = (op2 (h3 (e10)) (h3 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H3b].
% 42.98/43.18 cut (((op2 (h3 (e10)) (h3 (e10))) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H3c].
% 42.98/43.18 congruence.
% 42.98/43.18 cut (((op2 (e20) (e20)) = (e23)) = ((op2 (h3 (e10)) (h3 (e10))) = (op2 (e22) (e22)))).
% 42.98/43.18 intro zenon_D_pnotp.
% 42.98/43.18 apply zenon_H3c.
% 42.98/43.18 rewrite <- zenon_D_pnotp.
% 42.98/43.18 exact zenon_H32.
% 42.98/43.18 cut (((e23) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H3d].
% 42.98/43.18 cut (((op2 (e20) (e20)) = (op2 (h3 (e10)) (h3 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H3e].
% 42.98/43.18 congruence.
% 42.98/43.18 elim (classic ((op2 (h3 (e10)) (h3 (e10))) = (op2 (h3 (e10)) (h3 (e10))))); [ zenon_intro zenon_H3a | zenon_intro zenon_H3b ].
% 42.98/43.18 cut (((op2 (h3 (e10)) (h3 (e10))) = (op2 (h3 (e10)) (h3 (e10)))) = ((op2 (e20) (e20)) = (op2 (h3 (e10)) (h3 (e10))))).
% 42.98/43.18 intro zenon_D_pnotp.
% 42.98/43.18 apply zenon_H3e.
% 42.98/43.18 rewrite <- zenon_D_pnotp.
% 42.98/43.18 exact zenon_H3a.
% 42.98/43.18 cut (((op2 (h3 (e10)) (h3 (e10))) = (op2 (h3 (e10)) (h3 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H3b].
% 42.98/43.18 cut (((op2 (h3 (e10)) (h3 (e10))) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H3f].
% 42.98/43.18 congruence.
% 42.98/43.18 cut (((h3 (e10)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H2a].
% 42.98/43.18 cut (((h3 (e10)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H2a].
% 42.98/43.18 congruence.
% 42.98/43.18 apply (zenon_L9_); trivial.
% 42.98/43.18 apply (zenon_L9_); trivial.
% 42.98/43.18 apply zenon_H3b. apply refl_equal.
% 42.98/43.18 apply zenon_H3b. apply refl_equal.
% 42.98/43.18 exact (zenon_H3d zenon_H33).
% 42.98/43.18 apply zenon_H3b. apply refl_equal.
% 42.98/43.18 apply zenon_H3b. apply refl_equal.
% 42.98/43.18 (* end of lemma zenon_L10_ *)
% 42.98/43.18 assert (zenon_L11_ : ((op1 (e10) (e11)) = (e10)) -> ((op1 (e10) (e11)) = (e13)) -> (~((e10) = (e13))) -> False).
% 42.98/43.18 do 0 intro. intros zenon_H40 zenon_H41 zenon_H42.
% 42.98/43.18 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H43 | zenon_intro zenon_H44 ].
% 42.98/43.18 cut (((e13) = (e13)) = ((e10) = (e13))).
% 42.98/43.18 intro zenon_D_pnotp.
% 42.98/43.18 apply zenon_H42.
% 42.98/43.18 rewrite <- zenon_D_pnotp.
% 42.98/43.18 exact zenon_H43.
% 42.98/43.18 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H44].
% 42.98/43.18 cut (((e13) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H45].
% 42.98/43.18 congruence.
% 42.98/43.18 cut (((op1 (e10) (e11)) = (e10)) = ((e13) = (e10))).
% 42.98/43.18 intro zenon_D_pnotp.
% 42.98/43.18 apply zenon_H45.
% 42.98/43.18 rewrite <- zenon_D_pnotp.
% 42.98/43.18 exact zenon_H40.
% 42.98/43.18 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H1e].
% 42.98/43.18 cut (((op1 (e10) (e11)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H46].
% 42.98/43.18 congruence.
% 42.98/43.18 exact (zenon_H46 zenon_H41).
% 42.98/43.18 apply zenon_H1e. apply refl_equal.
% 42.98/43.18 apply zenon_H44. apply refl_equal.
% 42.98/43.18 apply zenon_H44. apply refl_equal.
% 42.98/43.18 (* end of lemma zenon_L11_ *)
% 42.98/43.18 assert (zenon_L12_ : (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((e13) = (op1 (e12) (e12))) -> ((op1 (e10) (e12)) = (e13)) -> False).
% 42.98/43.18 do 0 intro. intros zenon_H47 zenon_H48 zenon_H49.
% 42.98/43.18 cut (((e13) = (op1 (e12) (e12))) = ((op1 (e10) (e12)) = (op1 (e12) (e12)))).
% 42.98/43.18 intro zenon_D_pnotp.
% 42.98/43.18 apply zenon_H47.
% 42.98/43.18 rewrite <- zenon_D_pnotp.
% 42.98/43.18 exact zenon_H48.
% 42.98/43.18 cut (((op1 (e12) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H4a].
% 42.98/43.18 cut (((e13) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H4b].
% 42.98/43.18 congruence.
% 42.98/43.18 elim (classic ((op1 (e10) (e12)) = (op1 (e10) (e12)))); [ zenon_intro zenon_H4c | zenon_intro zenon_H4d ].
% 42.98/43.18 cut (((op1 (e10) (e12)) = (op1 (e10) (e12))) = ((e13) = (op1 (e10) (e12)))).
% 42.98/43.18 intro zenon_D_pnotp.
% 42.98/43.18 apply zenon_H4b.
% 42.98/43.18 rewrite <- zenon_D_pnotp.
% 42.98/43.18 exact zenon_H4c.
% 42.98/43.18 cut (((op1 (e10) (e12)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H4d].
% 42.98/43.18 cut (((op1 (e10) (e12)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H4e].
% 42.98/43.18 congruence.
% 42.98/43.18 exact (zenon_H4e zenon_H49).
% 42.98/43.18 apply zenon_H4d. apply refl_equal.
% 42.98/43.18 apply zenon_H4d. apply refl_equal.
% 42.98/43.18 apply zenon_H4a. apply refl_equal.
% 42.98/43.18 (* end of lemma zenon_L12_ *)
% 42.98/43.18 assert (zenon_L13_ : (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> ((op1 (e11) (e10)) = (e10)) -> ((op1 (e11) (e13)) = (e10)) -> False).
% 42.98/43.18 do 0 intro. intros zenon_H4f zenon_H50 zenon_H51.
% 42.98/43.18 cut (((op1 (e11) (e10)) = (e10)) = ((op1 (e11) (e10)) = (op1 (e11) (e13)))).
% 42.98/43.18 intro zenon_D_pnotp.
% 42.98/43.18 apply zenon_H4f.
% 42.98/43.18 rewrite <- zenon_D_pnotp.
% 42.98/43.18 exact zenon_H50.
% 42.98/43.18 cut (((e10) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H52].
% 42.98/43.18 cut (((op1 (e11) (e10)) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H53].
% 42.98/43.18 congruence.
% 42.98/43.18 apply zenon_H53. apply refl_equal.
% 42.98/43.18 apply zenon_H52. apply sym_equal. exact zenon_H51.
% 42.98/43.18 (* end of lemma zenon_L13_ *)
% 42.98/43.18 assert (zenon_L14_ : (~((op1 (op1 (e12) (e12)) (op1 (e12) (e12))) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> False).
% 42.98/43.18 do 0 intro. intros zenon_H54 zenon_H48.
% 42.98/43.18 cut (((op1 (e12) (e12)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H55].
% 42.98/43.18 cut (((op1 (e12) (e12)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H55].
% 42.98/43.18 congruence.
% 42.98/43.18 apply zenon_H55. apply sym_equal. exact zenon_H48.
% 42.98/43.18 apply zenon_H55. apply sym_equal. exact zenon_H48.
% 42.98/43.18 (* end of lemma zenon_L14_ *)
% 42.98/43.18 assert (zenon_L15_ : (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> ((op1 (e11) (e13)) = (e11)) -> ((e13) = (op1 (e12) (e12))) -> False).
% 42.98/43.18 do 0 intro. intros zenon_H56 zenon_H57 zenon_H58 zenon_H48.
% 42.98/43.18 cut (((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) = ((op1 (e11) (e13)) = (op1 (e13) (e13)))).
% 42.98/43.18 intro zenon_D_pnotp.
% 42.98/43.18 apply zenon_H56.
% 42.98/43.18 rewrite <- zenon_D_pnotp.
% 42.98/43.18 exact zenon_H57.
% 42.98/43.18 cut (((op1 (op1 (e12) (e12)) (op1 (e12) (e12))) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H54].
% 42.98/43.18 cut (((e11) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H59].
% 42.98/43.18 congruence.
% 42.98/43.18 elim (classic ((op1 (e11) (e13)) = (op1 (e11) (e13)))); [ zenon_intro zenon_H5a | zenon_intro zenon_H5b ].
% 42.98/43.18 cut (((op1 (e11) (e13)) = (op1 (e11) (e13))) = ((e11) = (op1 (e11) (e13)))).
% 42.98/43.18 intro zenon_D_pnotp.
% 42.98/43.18 apply zenon_H59.
% 42.98/43.18 rewrite <- zenon_D_pnotp.
% 42.98/43.18 exact zenon_H5a.
% 42.98/43.18 cut (((op1 (e11) (e13)) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H5b].
% 42.98/43.18 cut (((op1 (e11) (e13)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H5c].
% 42.98/43.18 congruence.
% 42.98/43.18 exact (zenon_H5c zenon_H58).
% 42.98/43.19 apply zenon_H5b. apply refl_equal.
% 42.98/43.19 apply zenon_H5b. apply refl_equal.
% 42.98/43.19 apply (zenon_L14_); trivial.
% 42.98/43.19 (* end of lemma zenon_L15_ *)
% 42.98/43.19 assert (zenon_L16_ : (~((e12) = (e12))) -> False).
% 42.98/43.19 do 0 intro. intros zenon_H5d.
% 42.98/43.19 apply zenon_H5d. apply refl_equal.
% 42.98/43.19 (* end of lemma zenon_L16_ *)
% 42.98/43.19 assert (zenon_L17_ : (~((op1 (op1 (e12) (e12)) (e12)) = (op1 (e13) (e12)))) -> ((e13) = (op1 (e12) (e12))) -> False).
% 42.98/43.19 do 0 intro. intros zenon_H5e zenon_H48.
% 42.98/43.19 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H5d].
% 42.98/43.19 cut (((op1 (e12) (e12)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H55].
% 42.98/43.19 congruence.
% 42.98/43.19 apply zenon_H55. apply sym_equal. exact zenon_H48.
% 42.98/43.19 apply zenon_H5d. apply refl_equal.
% 42.98/43.19 (* end of lemma zenon_L17_ *)
% 42.98/43.19 assert (zenon_L18_ : (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> ((op1 (e11) (e12)) = (e10)) -> ((e13) = (op1 (e12) (e12))) -> False).
% 42.98/43.19 do 0 intro. intros zenon_H5f zenon_H60 zenon_H61 zenon_H48.
% 42.98/43.19 cut (((e10) = (op1 (op1 (e12) (e12)) (e12))) = ((op1 (e11) (e12)) = (op1 (e13) (e12)))).
% 42.98/43.19 intro zenon_D_pnotp.
% 42.98/43.19 apply zenon_H5f.
% 42.98/43.19 rewrite <- zenon_D_pnotp.
% 42.98/43.19 exact zenon_H60.
% 42.98/43.19 cut (((op1 (op1 (e12) (e12)) (e12)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H5e].
% 42.98/43.19 cut (((e10) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H62].
% 42.98/43.19 congruence.
% 42.98/43.19 elim (classic ((op1 (e11) (e12)) = (op1 (e11) (e12)))); [ zenon_intro zenon_H63 | zenon_intro zenon_H64 ].
% 42.98/43.19 cut (((op1 (e11) (e12)) = (op1 (e11) (e12))) = ((e10) = (op1 (e11) (e12)))).
% 42.98/43.19 intro zenon_D_pnotp.
% 42.98/43.19 apply zenon_H62.
% 42.98/43.19 rewrite <- zenon_D_pnotp.
% 42.98/43.19 exact zenon_H63.
% 42.98/43.19 cut (((op1 (e11) (e12)) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H64].
% 42.98/43.19 cut (((op1 (e11) (e12)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H65].
% 42.98/43.19 congruence.
% 42.98/43.19 exact (zenon_H65 zenon_H61).
% 42.98/43.19 apply zenon_H64. apply refl_equal.
% 42.98/43.19 apply zenon_H64. apply refl_equal.
% 42.98/43.19 apply (zenon_L17_); trivial.
% 42.98/43.19 (* end of lemma zenon_L18_ *)
% 42.98/43.19 assert (zenon_L19_ : (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e11) (e12)) = (e12)) -> ((op1 (e11) (e13)) = (e12)) -> False).
% 42.98/43.19 do 0 intro. intros zenon_H66 zenon_H67 zenon_H68.
% 42.98/43.19 cut (((op1 (e11) (e12)) = (e12)) = ((op1 (e11) (e12)) = (op1 (e11) (e13)))).
% 42.98/43.19 intro zenon_D_pnotp.
% 42.98/43.19 apply zenon_H66.
% 42.98/43.19 rewrite <- zenon_D_pnotp.
% 42.98/43.19 exact zenon_H67.
% 42.98/43.19 cut (((e12) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H69].
% 42.98/43.19 cut (((op1 (e11) (e12)) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H64].
% 42.98/43.19 congruence.
% 42.98/43.19 apply zenon_H64. apply refl_equal.
% 42.98/43.19 apply zenon_H69. apply sym_equal. exact zenon_H68.
% 42.98/43.19 (* end of lemma zenon_L19_ *)
% 42.98/43.19 assert (zenon_L20_ : (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((e13) = (op1 (e12) (e12))) -> ((op1 (e11) (e12)) = (e13)) -> False).
% 42.98/43.19 do 0 intro. intros zenon_H6a zenon_H48 zenon_H6b.
% 42.98/43.19 cut (((e13) = (op1 (e12) (e12))) = ((op1 (e11) (e12)) = (op1 (e12) (e12)))).
% 42.98/43.19 intro zenon_D_pnotp.
% 42.98/43.19 apply zenon_H6a.
% 42.98/43.19 rewrite <- zenon_D_pnotp.
% 42.98/43.19 exact zenon_H48.
% 42.98/43.19 cut (((op1 (e12) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H4a].
% 42.98/43.19 cut (((e13) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H6c].
% 42.98/43.19 congruence.
% 42.98/43.19 elim (classic ((op1 (e11) (e12)) = (op1 (e11) (e12)))); [ zenon_intro zenon_H63 | zenon_intro zenon_H64 ].
% 42.98/43.19 cut (((op1 (e11) (e12)) = (op1 (e11) (e12))) = ((e13) = (op1 (e11) (e12)))).
% 42.98/43.19 intro zenon_D_pnotp.
% 42.98/43.19 apply zenon_H6c.
% 42.98/43.19 rewrite <- zenon_D_pnotp.
% 42.98/43.19 exact zenon_H63.
% 42.98/43.19 cut (((op1 (e11) (e12)) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H64].
% 42.98/43.19 cut (((op1 (e11) (e12)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H6d].
% 42.98/43.19 congruence.
% 42.98/43.19 exact (zenon_H6d zenon_H6b).
% 42.98/43.19 apply zenon_H64. apply refl_equal.
% 42.98/43.19 apply zenon_H64. apply refl_equal.
% 42.98/43.19 apply zenon_H4a. apply refl_equal.
% 42.98/43.19 (* end of lemma zenon_L20_ *)
% 42.98/43.19 assert (zenon_L21_ : (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (e11))) -> ((op1 (e11) (e13)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((e13) = (op1 (e12) (e12))) -> False).
% 42.98/43.19 do 0 intro. intros zenon_H6e zenon_H60 zenon_H5f zenon_H6f zenon_H68 zenon_H66 zenon_H6a zenon_H48.
% 42.98/43.19 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H61 | zenon_intro zenon_H70 ].
% 42.98/43.19 apply (zenon_L18_); trivial.
% 42.98/43.19 apply (zenon_or_s _ _ zenon_H70); [ zenon_intro zenon_H72 | zenon_intro zenon_H71 ].
% 42.98/43.19 exact (zenon_H6f zenon_H72).
% 42.98/43.19 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H67 | zenon_intro zenon_H6b ].
% 42.98/43.19 apply (zenon_L19_); trivial.
% 42.98/43.19 apply (zenon_L20_); trivial.
% 42.98/43.19 (* end of lemma zenon_L21_ *)
% 42.98/43.19 assert (zenon_L22_ : (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e10) (e13)) = (e13)) -> ((op1 (e11) (e13)) = (e13)) -> False).
% 42.98/43.19 do 0 intro. intros zenon_H73 zenon_H74 zenon_H75.
% 42.98/43.19 cut (((op1 (e10) (e13)) = (e13)) = ((op1 (e10) (e13)) = (op1 (e11) (e13)))).
% 42.98/43.19 intro zenon_D_pnotp.
% 42.98/43.19 apply zenon_H73.
% 42.98/43.19 rewrite <- zenon_D_pnotp.
% 42.98/43.19 exact zenon_H74.
% 42.98/43.19 cut (((e13) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H76].
% 42.98/43.19 cut (((op1 (e10) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H77].
% 42.98/43.19 congruence.
% 42.98/43.19 apply zenon_H77. apply refl_equal.
% 42.98/43.19 apply zenon_H76. apply sym_equal. exact zenon_H75.
% 42.98/43.19 (* end of lemma zenon_L22_ *)
% 42.98/43.19 assert (zenon_L23_ : (((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 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e10) (e13)) = (e13)) -> False).
% 42.98/43.19 do 0 intro. intros zenon_H78 zenon_H50 zenon_H4f zenon_H57 zenon_H56 zenon_H48 zenon_H6a zenon_H66 zenon_H6f zenon_H5f zenon_H60 zenon_H6e zenon_H73 zenon_H74.
% 42.98/43.19 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H51 | zenon_intro zenon_H79 ].
% 42.98/43.19 apply (zenon_L13_); trivial.
% 42.98/43.19 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H58 | zenon_intro zenon_H7a ].
% 42.98/43.19 apply (zenon_L15_); trivial.
% 42.98/43.19 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H68 | zenon_intro zenon_H75 ].
% 42.98/43.19 apply (zenon_L21_); trivial.
% 42.98/43.19 apply (zenon_L22_); trivial.
% 42.98/43.19 (* end of lemma zenon_L23_ *)
% 42.98/43.19 assert (zenon_L24_ : (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((e23) = (op2 (e22) (e22))) -> ((op2 (e20) (e20)) = (e23)) -> ((h3 (e13)) = (op2 (e22) (e22))) -> (~((h3 (op1 (e10) (e10))) = (op2 (h3 (e10)) (h3 (e10))))) -> (~((e10) = (e13))) -> ((op1 (e10) (e11)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((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 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> False).
% 42.98/43.19 do 0 intro. intros zenon_H7b zenon_H2c zenon_H2b zenon_H33 zenon_H32 zenon_H30 zenon_H2f zenon_H42 zenon_H40 zenon_H47 zenon_H78 zenon_H50 zenon_H4f zenon_H57 zenon_H56 zenon_H48 zenon_H6a zenon_H66 zenon_H6f zenon_H5f zenon_H60 zenon_H6e zenon_H73.
% 42.98/43.19 apply (zenon_or_s _ _ zenon_H7b); [ zenon_intro zenon_H31 | zenon_intro zenon_H7c ].
% 42.98/43.19 apply (zenon_L10_); trivial.
% 42.98/43.19 apply (zenon_or_s _ _ zenon_H7c); [ zenon_intro zenon_H41 | zenon_intro zenon_H7d ].
% 42.98/43.19 apply (zenon_L11_); trivial.
% 42.98/43.19 apply (zenon_or_s _ _ zenon_H7d); [ zenon_intro zenon_H49 | zenon_intro zenon_H74 ].
% 42.98/43.19 apply (zenon_L12_); trivial.
% 42.98/43.19 apply (zenon_L23_); trivial.
% 42.98/43.19 (* end of lemma zenon_L24_ *)
% 42.98/43.19 assert (zenon_L25_ : ((op2 (e20) (e21)) = (e20)) -> ((op2 (e20) (e21)) = (e23)) -> (~((e20) = (e23))) -> False).
% 42.98/43.19 do 0 intro. intros zenon_H7e zenon_H7f zenon_H80.
% 42.98/43.19 elim (classic ((e23) = (e23))); [ zenon_intro zenon_H81 | zenon_intro zenon_H82 ].
% 42.98/43.19 cut (((e23) = (e23)) = ((e20) = (e23))).
% 42.98/43.19 intro zenon_D_pnotp.
% 42.98/43.19 apply zenon_H80.
% 42.98/43.19 rewrite <- zenon_D_pnotp.
% 42.98/43.19 exact zenon_H81.
% 42.98/43.19 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H82].
% 42.98/43.19 cut (((e23) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H83].
% 42.98/43.19 congruence.
% 42.98/43.19 cut (((op2 (e20) (e21)) = (e20)) = ((e23) = (e20))).
% 42.98/43.19 intro zenon_D_pnotp.
% 42.98/43.19 apply zenon_H83.
% 42.98/43.19 rewrite <- zenon_D_pnotp.
% 42.98/43.19 exact zenon_H7e.
% 42.98/43.19 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H12].
% 42.98/43.19 cut (((op2 (e20) (e21)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H84].
% 42.98/43.19 congruence.
% 42.98/43.19 exact (zenon_H84 zenon_H7f).
% 42.98/43.19 apply zenon_H12. apply refl_equal.
% 42.98/43.19 apply zenon_H82. apply refl_equal.
% 42.98/43.19 apply zenon_H82. apply refl_equal.
% 42.98/43.19 (* end of lemma zenon_L25_ *)
% 42.98/43.19 assert (zenon_L26_ : (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> ((e23) = (op2 (e22) (e22))) -> ((op2 (e20) (e22)) = (e23)) -> False).
% 42.98/43.19 do 0 intro. intros zenon_H85 zenon_H33 zenon_H86.
% 42.98/43.19 cut (((e23) = (op2 (e22) (e22))) = ((op2 (e20) (e22)) = (op2 (e22) (e22)))).
% 42.98/43.19 intro zenon_D_pnotp.
% 42.98/43.19 apply zenon_H85.
% 42.98/43.19 rewrite <- zenon_D_pnotp.
% 42.98/43.19 exact zenon_H33.
% 42.98/43.19 cut (((op2 (e22) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H87].
% 42.98/43.19 cut (((e23) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H88].
% 42.98/43.19 congruence.
% 42.98/43.19 elim (classic ((op2 (e20) (e22)) = (op2 (e20) (e22)))); [ zenon_intro zenon_H89 | zenon_intro zenon_H8a ].
% 42.98/43.19 cut (((op2 (e20) (e22)) = (op2 (e20) (e22))) = ((e23) = (op2 (e20) (e22)))).
% 42.98/43.19 intro zenon_D_pnotp.
% 42.98/43.19 apply zenon_H88.
% 42.98/43.19 rewrite <- zenon_D_pnotp.
% 42.98/43.19 exact zenon_H89.
% 42.98/43.19 cut (((op2 (e20) (e22)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H8a].
% 42.98/43.19 cut (((op2 (e20) (e22)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H8b].
% 42.98/43.19 congruence.
% 42.98/43.19 exact (zenon_H8b zenon_H86).
% 42.98/43.19 apply zenon_H8a. apply refl_equal.
% 42.98/43.19 apply zenon_H8a. apply refl_equal.
% 42.98/43.19 apply zenon_H87. apply refl_equal.
% 42.98/43.19 (* end of lemma zenon_L26_ *)
% 42.98/43.19 assert (zenon_L27_ : ((e23) = (op2 (e22) (e22))) -> ((op2 (e20) (e20)) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e20) (e20)))) -> False).
% 42.98/43.19 do 0 intro. intros zenon_H33 zenon_H32 zenon_H8c.
% 42.98/43.19 elim (classic ((op2 (e20) (e20)) = (op2 (e20) (e20)))); [ zenon_intro zenon_H8d | zenon_intro zenon_H8e ].
% 42.98/43.19 cut (((op2 (e20) (e20)) = (op2 (e20) (e20))) = ((op2 (e22) (e22)) = (op2 (e20) (e20)))).
% 42.98/43.19 intro zenon_D_pnotp.
% 42.98/43.19 apply zenon_H8c.
% 42.98/43.19 rewrite <- zenon_D_pnotp.
% 42.98/43.19 exact zenon_H8d.
% 42.98/43.19 cut (((op2 (e20) (e20)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H8e].
% 42.98/43.19 cut (((op2 (e20) (e20)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H8f].
% 42.98/43.19 congruence.
% 42.98/43.19 cut (((e23) = (op2 (e22) (e22))) = ((op2 (e20) (e20)) = (op2 (e22) (e22)))).
% 42.98/43.19 intro zenon_D_pnotp.
% 42.98/43.19 apply zenon_H8f.
% 42.98/43.19 rewrite <- zenon_D_pnotp.
% 42.98/43.19 exact zenon_H33.
% 42.98/43.19 cut (((op2 (e22) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H87].
% 42.98/43.19 cut (((e23) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H90].
% 42.98/43.19 congruence.
% 42.98/43.19 elim (classic ((op2 (e20) (e20)) = (op2 (e20) (e20)))); [ zenon_intro zenon_H8d | zenon_intro zenon_H8e ].
% 42.98/43.19 cut (((op2 (e20) (e20)) = (op2 (e20) (e20))) = ((e23) = (op2 (e20) (e20)))).
% 42.98/43.19 intro zenon_D_pnotp.
% 42.98/43.19 apply zenon_H90.
% 42.98/43.19 rewrite <- zenon_D_pnotp.
% 42.98/43.19 exact zenon_H8d.
% 42.98/43.19 cut (((op2 (e20) (e20)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H8e].
% 42.98/43.19 cut (((op2 (e20) (e20)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H91].
% 42.98/43.19 congruence.
% 42.98/43.19 exact (zenon_H91 zenon_H32).
% 42.98/43.19 apply zenon_H8e. apply refl_equal.
% 42.98/43.19 apply zenon_H8e. apply refl_equal.
% 42.98/43.19 apply zenon_H87. apply refl_equal.
% 42.98/43.19 apply zenon_H8e. apply refl_equal.
% 42.98/43.19 apply zenon_H8e. apply refl_equal.
% 42.98/43.19 (* end of lemma zenon_L27_ *)
% 42.98/43.19 assert (zenon_L28_ : ((op2 (e20) (e23)) = (e23)) -> ((e23) = (op2 (e22) (e22))) -> ((op2 (e20) (e20)) = (e23)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> False).
% 42.98/43.19 do 0 intro. intros zenon_H92 zenon_H33 zenon_H32 zenon_H93.
% 42.98/43.19 elim (classic ((op2 (e20) (e23)) = (op2 (e20) (e23)))); [ zenon_intro zenon_H94 | zenon_intro zenon_H95 ].
% 42.98/43.19 cut (((op2 (e20) (e23)) = (op2 (e20) (e23))) = ((op2 (e20) (e20)) = (op2 (e20) (e23)))).
% 42.98/43.19 intro zenon_D_pnotp.
% 42.98/43.19 apply zenon_H93.
% 42.98/43.19 rewrite <- zenon_D_pnotp.
% 42.98/43.19 exact zenon_H94.
% 42.98/43.19 cut (((op2 (e20) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H95].
% 42.98/43.19 cut (((op2 (e20) (e23)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H96].
% 42.98/43.19 congruence.
% 42.98/43.19 cut (((e23) = (op2 (e22) (e22))) = ((op2 (e20) (e23)) = (op2 (e20) (e20)))).
% 42.98/43.19 intro zenon_D_pnotp.
% 42.98/43.19 apply zenon_H96.
% 42.98/43.19 rewrite <- zenon_D_pnotp.
% 42.98/43.19 exact zenon_H33.
% 42.98/43.19 cut (((op2 (e22) (e22)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H8c].
% 42.98/43.19 cut (((e23) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H97].
% 42.98/43.19 congruence.
% 42.98/43.19 elim (classic ((op2 (e20) (e23)) = (op2 (e20) (e23)))); [ zenon_intro zenon_H94 | zenon_intro zenon_H95 ].
% 42.98/43.19 cut (((op2 (e20) (e23)) = (op2 (e20) (e23))) = ((e23) = (op2 (e20) (e23)))).
% 42.98/43.19 intro zenon_D_pnotp.
% 42.98/43.19 apply zenon_H97.
% 42.98/43.19 rewrite <- zenon_D_pnotp.
% 42.98/43.19 exact zenon_H94.
% 42.98/43.19 cut (((op2 (e20) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H95].
% 42.98/43.19 cut (((op2 (e20) (e23)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H98].
% 42.98/43.19 congruence.
% 42.98/43.19 exact (zenon_H98 zenon_H92).
% 42.98/43.19 apply zenon_H95. apply refl_equal.
% 42.98/43.19 apply zenon_H95. apply refl_equal.
% 42.98/43.19 apply (zenon_L27_); trivial.
% 42.98/43.19 apply zenon_H95. apply refl_equal.
% 42.98/43.19 apply zenon_H95. apply refl_equal.
% 42.98/43.19 (* end of lemma zenon_L28_ *)
% 42.98/43.19 assert (zenon_L29_ : ((op2 (e21) (e20)) = (e20)) -> ((op2 (e21) (e20)) = (e23)) -> (~((e20) = (e23))) -> False).
% 42.98/43.19 do 0 intro. intros zenon_H99 zenon_H9a zenon_H80.
% 42.98/43.19 elim (classic ((e23) = (e23))); [ zenon_intro zenon_H81 | zenon_intro zenon_H82 ].
% 42.98/43.19 cut (((e23) = (e23)) = ((e20) = (e23))).
% 42.98/43.19 intro zenon_D_pnotp.
% 42.98/43.19 apply zenon_H80.
% 42.98/43.19 rewrite <- zenon_D_pnotp.
% 42.98/43.19 exact zenon_H81.
% 42.98/43.19 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H82].
% 42.98/43.19 cut (((e23) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H83].
% 42.98/43.19 congruence.
% 42.98/43.19 cut (((op2 (e21) (e20)) = (e20)) = ((e23) = (e20))).
% 42.98/43.19 intro zenon_D_pnotp.
% 42.98/43.19 apply zenon_H83.
% 42.98/43.19 rewrite <- zenon_D_pnotp.
% 42.98/43.19 exact zenon_H99.
% 42.98/43.19 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H12].
% 42.98/43.19 cut (((op2 (e21) (e20)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H9b].
% 42.98/43.19 congruence.
% 42.98/43.19 exact (zenon_H9b zenon_H9a).
% 42.98/43.19 apply zenon_H12. apply refl_equal.
% 42.98/43.19 apply zenon_H82. apply refl_equal.
% 42.98/43.19 apply zenon_H82. apply refl_equal.
% 42.98/43.19 (* end of lemma zenon_L29_ *)
% 42.98/43.19 assert (zenon_L30_ : (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((e23) = (op2 (e22) (e22))) -> ((op2 (e22) (e20)) = (e23)) -> False).
% 42.98/43.19 do 0 intro. intros zenon_H9c zenon_H33 zenon_H9d.
% 42.98/43.19 cut (((e23) = (op2 (e22) (e22))) = ((op2 (e22) (e20)) = (op2 (e22) (e22)))).
% 42.98/43.19 intro zenon_D_pnotp.
% 42.98/43.19 apply zenon_H9c.
% 42.98/43.19 rewrite <- zenon_D_pnotp.
% 42.98/43.19 exact zenon_H33.
% 42.98/43.19 cut (((op2 (e22) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H87].
% 42.98/43.19 cut (((e23) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H9e].
% 42.98/43.19 congruence.
% 42.98/43.19 elim (classic ((op2 (e22) (e20)) = (op2 (e22) (e20)))); [ zenon_intro zenon_H9f | zenon_intro zenon_Ha0 ].
% 42.98/43.19 cut (((op2 (e22) (e20)) = (op2 (e22) (e20))) = ((e23) = (op2 (e22) (e20)))).
% 42.98/43.19 intro zenon_D_pnotp.
% 42.98/43.19 apply zenon_H9e.
% 42.98/43.19 rewrite <- zenon_D_pnotp.
% 42.98/43.19 exact zenon_H9f.
% 42.98/43.19 cut (((op2 (e22) (e20)) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_Ha0].
% 42.98/43.19 cut (((op2 (e22) (e20)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_Ha1].
% 42.98/43.19 congruence.
% 42.98/43.19 exact (zenon_Ha1 zenon_H9d).
% 42.98/43.19 apply zenon_Ha0. apply refl_equal.
% 42.98/43.19 apply zenon_Ha0. apply refl_equal.
% 42.98/43.19 apply zenon_H87. apply refl_equal.
% 42.98/43.19 (* end of lemma zenon_L30_ *)
% 42.98/43.19 assert (zenon_L31_ : (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((op2 (e20) (e23)) = (e23)) -> (~((e20) = (e23))) -> ((op2 (e21) (e20)) = (e20)) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (e23))) -> False).
% 42.98/43.19 do 0 intro. intros zenon_Ha2 zenon_H93 zenon_H92 zenon_H80 zenon_H99 zenon_H33 zenon_H9c zenon_Ha3.
% 42.98/43.19 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H32 | zenon_intro zenon_Ha4 ].
% 42.98/43.19 apply (zenon_L28_); trivial.
% 42.98/43.19 apply (zenon_or_s _ _ zenon_Ha4); [ zenon_intro zenon_H9a | zenon_intro zenon_Ha5 ].
% 42.98/43.19 apply (zenon_L29_); trivial.
% 42.98/43.19 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H9d | zenon_intro zenon_Ha6 ].
% 42.98/43.19 apply (zenon_L30_); trivial.
% 42.98/43.19 exact (zenon_Ha3 zenon_Ha6).
% 42.98/43.19 (* end of lemma zenon_L31_ *)
% 42.98/43.19 assert (zenon_L32_ : (((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13)))))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((e10) = (e13))) -> (~((h3 (op1 (e10) (e10))) = (op2 (h3 (e10)) (h3 (e10))))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((op2 (e20) (e21)) = (e20)) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((e20) = (e23))) -> ((op2 (e21) (e20)) = (e20)) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (e23))) -> False).
% 42.98/43.19 do 0 intro. intros zenon_Ha7 zenon_Ha8 zenon_H73 zenon_H6e zenon_H60 zenon_H5f zenon_H6f zenon_H66 zenon_H6a zenon_H48 zenon_H56 zenon_H57 zenon_H4f zenon_H78 zenon_H47 zenon_H42 zenon_H2f zenon_H30 zenon_H2b zenon_H2c zenon_H7b zenon_H7e zenon_H85 zenon_Ha2 zenon_H93 zenon_H80 zenon_H99 zenon_H33 zenon_H9c zenon_Ha3.
% 42.98/43.19 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H40. zenon_intro zenon_Ha9.
% 42.98/43.19 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_H50. zenon_intro zenon_H28.
% 42.98/43.19 apply (zenon_or_s _ _ zenon_Ha8); [ zenon_intro zenon_H32 | zenon_intro zenon_Haa ].
% 42.98/43.19 apply (zenon_L24_); trivial.
% 42.98/43.19 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7f | zenon_intro zenon_Hab ].
% 42.98/43.19 apply (zenon_L25_); trivial.
% 42.98/43.19 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H86 | zenon_intro zenon_H92 ].
% 42.98/43.19 apply (zenon_L26_); trivial.
% 42.98/43.19 apply (zenon_L31_); trivial.
% 42.98/43.19 (* end of lemma zenon_L32_ *)
% 42.98/43.19 assert (zenon_L33_ : (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> ((op1 (e10) (e12)) = (e10)) -> ((e13) = (op1 (e12) (e12))) -> False).
% 42.98/43.19 do 0 intro. intros zenon_Hac zenon_H60 zenon_Had zenon_H48.
% 42.98/43.19 cut (((e10) = (op1 (op1 (e12) (e12)) (e12))) = ((op1 (e10) (e12)) = (op1 (e13) (e12)))).
% 42.98/43.19 intro zenon_D_pnotp.
% 42.98/43.19 apply zenon_Hac.
% 42.98/43.19 rewrite <- zenon_D_pnotp.
% 42.98/43.19 exact zenon_H60.
% 42.98/43.19 cut (((op1 (op1 (e12) (e12)) (e12)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H5e].
% 42.98/43.19 cut (((e10) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_Hae].
% 42.98/43.19 congruence.
% 42.98/43.19 elim (classic ((op1 (e10) (e12)) = (op1 (e10) (e12)))); [ zenon_intro zenon_H4c | zenon_intro zenon_H4d ].
% 42.98/43.19 cut (((op1 (e10) (e12)) = (op1 (e10) (e12))) = ((e10) = (op1 (e10) (e12)))).
% 42.98/43.19 intro zenon_D_pnotp.
% 42.98/43.19 apply zenon_Hae.
% 42.98/43.19 rewrite <- zenon_D_pnotp.
% 42.98/43.19 exact zenon_H4c.
% 42.98/43.19 cut (((op1 (e10) (e12)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H4d].
% 42.98/43.19 cut (((op1 (e10) (e12)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_Haf].
% 42.98/43.19 congruence.
% 42.98/43.19 exact (zenon_Haf zenon_Had).
% 42.98/43.19 apply zenon_H4d. apply refl_equal.
% 42.98/43.19 apply zenon_H4d. apply refl_equal.
% 42.98/43.19 apply (zenon_L17_); trivial.
% 42.98/43.19 (* end of lemma zenon_L33_ *)
% 42.98/43.19 assert (zenon_L34_ : (((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13)))))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> ((e13) = (op1 (e12) (e12))) -> False).
% 42.98/43.19 do 0 intro. intros zenon_Hb0 zenon_Hac zenon_H60 zenon_H48.
% 42.98/43.19 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_Had. zenon_intro zenon_Hb1.
% 42.98/43.19 apply (zenon_L33_); trivial.
% 42.98/43.19 (* end of lemma zenon_L34_ *)
% 42.98/43.19 assert (zenon_L35_ : (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> ((op1 (e13) (e10)) = (e10)) -> ((e13) = (op1 (e12) (e12))) -> False).
% 42.98/43.19 do 0 intro. intros zenon_Hb2 zenon_H60 zenon_Hb3 zenon_H48.
% 42.98/43.19 cut (((e10) = (op1 (op1 (e12) (e12)) (e12))) = ((op1 (e13) (e10)) = (op1 (e13) (e12)))).
% 42.98/43.19 intro zenon_D_pnotp.
% 42.98/43.19 apply zenon_Hb2.
% 42.98/43.19 rewrite <- zenon_D_pnotp.
% 42.98/43.19 exact zenon_H60.
% 42.98/43.19 cut (((op1 (op1 (e12) (e12)) (e12)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H5e].
% 42.98/43.19 cut (((e10) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_Hb4].
% 42.98/43.19 congruence.
% 42.98/43.19 elim (classic ((op1 (e13) (e10)) = (op1 (e13) (e10)))); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hb6 ].
% 42.98/43.19 cut (((op1 (e13) (e10)) = (op1 (e13) (e10))) = ((e10) = (op1 (e13) (e10)))).
% 42.98/43.19 intro zenon_D_pnotp.
% 42.98/43.19 apply zenon_Hb4.
% 42.98/43.19 rewrite <- zenon_D_pnotp.
% 42.98/43.19 exact zenon_Hb5.
% 42.98/43.19 cut (((op1 (e13) (e10)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_Hb6].
% 42.98/43.19 cut (((op1 (e13) (e10)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_Hb7].
% 42.98/43.19 congruence.
% 42.98/43.19 exact (zenon_Hb7 zenon_Hb3).
% 42.98/43.19 apply zenon_Hb6. apply refl_equal.
% 42.98/43.19 apply zenon_Hb6. apply refl_equal.
% 42.98/43.19 apply (zenon_L17_); trivial.
% 42.98/43.19 (* end of lemma zenon_L35_ *)
% 42.98/43.19 assert (zenon_L36_ : (((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13)))))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> ((e13) = (op1 (e12) (e12))) -> False).
% 42.98/43.19 do 0 intro. intros zenon_Hb8 zenon_Hb2 zenon_H60 zenon_H48.
% 42.98/43.19 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Hba. zenon_intro zenon_Hb9.
% 42.98/43.19 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Hb3. zenon_intro zenon_H28.
% 42.98/43.19 apply (zenon_L35_); trivial.
% 42.98/43.19 (* end of lemma zenon_L36_ *)
% 42.98/43.19 assert (zenon_L37_ : ((op1 (e10) (e12)) = (e11)) -> ((op1 (e10) (e11)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> False).
% 42.98/43.19 do 0 intro. intros zenon_Hbb zenon_Hbc zenon_Hbd.
% 42.98/43.19 elim (classic ((op1 (e10) (e12)) = (op1 (e10) (e12)))); [ zenon_intro zenon_H4c | zenon_intro zenon_H4d ].
% 42.98/43.19 cut (((op1 (e10) (e12)) = (op1 (e10) (e12))) = ((op1 (e10) (e11)) = (op1 (e10) (e12)))).
% 42.98/43.19 intro zenon_D_pnotp.
% 42.98/43.19 apply zenon_Hbd.
% 42.98/43.19 rewrite <- zenon_D_pnotp.
% 42.98/43.19 exact zenon_H4c.
% 42.98/43.19 cut (((op1 (e10) (e12)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H4d].
% 42.98/43.19 cut (((op1 (e10) (e12)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_Hbe].
% 42.98/43.19 congruence.
% 42.98/43.19 cut (((op1 (e10) (e12)) = (e11)) = ((op1 (e10) (e12)) = (op1 (e10) (e11)))).
% 42.98/43.19 intro zenon_D_pnotp.
% 42.98/43.19 apply zenon_Hbe.
% 42.98/43.19 rewrite <- zenon_D_pnotp.
% 42.98/43.19 exact zenon_Hbb.
% 42.98/43.19 cut (((e11) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_Hbf].
% 42.98/43.19 cut (((op1 (e10) (e12)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H4d].
% 42.98/43.19 congruence.
% 42.98/43.19 apply zenon_H4d. apply refl_equal.
% 42.98/43.19 apply zenon_Hbf. apply sym_equal. exact zenon_Hbc.
% 42.98/43.19 apply zenon_H4d. apply refl_equal.
% 42.98/43.19 apply zenon_H4d. apply refl_equal.
% 42.98/43.19 (* end of lemma zenon_L37_ *)
% 42.98/43.19 assert (zenon_L38_ : (~((e13) = (e13))) -> False).
% 42.98/43.19 do 0 intro. intros zenon_H44.
% 42.98/43.19 apply zenon_H44. apply refl_equal.
% 42.98/43.19 (* end of lemma zenon_L38_ *)
% 42.98/43.19 assert (zenon_L39_ : ((e13) = (op1 (e12) (e12))) -> ((op1 (e12) (e12)) = (e11)) -> (~((e11) = (e13))) -> False).
% 42.98/43.19 do 0 intro. intros zenon_H48 zenon_Hc0 zenon_Hc1.
% 42.98/43.19 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H43 | zenon_intro zenon_H44 ].
% 42.98/43.19 cut (((e13) = (e13)) = ((e11) = (e13))).
% 42.98/43.19 intro zenon_D_pnotp.
% 42.98/43.19 apply zenon_Hc1.
% 42.98/43.19 rewrite <- zenon_D_pnotp.
% 42.98/43.19 exact zenon_H43.
% 42.98/43.19 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H44].
% 42.98/43.19 cut (((e13) = (e11))); [idtac | apply NNPP; zenon_intro zenon_Hc2].
% 42.98/43.19 congruence.
% 42.98/43.19 cut (((e13) = (op1 (e12) (e12))) = ((e13) = (e11))).
% 42.98/43.19 intro zenon_D_pnotp.
% 42.98/43.19 apply zenon_Hc2.
% 42.98/43.19 rewrite <- zenon_D_pnotp.
% 42.98/43.19 exact zenon_H48.
% 42.98/43.19 cut (((op1 (e12) (e12)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_Hc3].
% 42.98/43.19 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H44].
% 42.98/43.19 congruence.
% 42.98/43.19 apply zenon_H44. apply refl_equal.
% 42.98/43.19 exact (zenon_Hc3 zenon_Hc0).
% 42.98/43.19 apply zenon_H44. apply refl_equal.
% 42.98/43.19 apply zenon_H44. apply refl_equal.
% 42.98/43.19 (* end of lemma zenon_L39_ *)
% 42.98/43.19 assert (zenon_L40_ : (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> ((op1 (e13) (e12)) = (e11)) -> ((e13) = (op1 (e12) (e12))) -> False).
% 42.98/43.19 do 0 intro. intros zenon_Hc4 zenon_H57 zenon_Hc5 zenon_H48.
% 42.98/43.19 cut (((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) = ((op1 (e13) (e12)) = (op1 (e13) (e13)))).
% 42.98/43.19 intro zenon_D_pnotp.
% 42.98/43.19 apply zenon_Hc4.
% 42.98/43.19 rewrite <- zenon_D_pnotp.
% 42.98/43.19 exact zenon_H57.
% 42.98/43.19 cut (((op1 (op1 (e12) (e12)) (op1 (e12) (e12))) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H54].
% 42.98/43.19 cut (((e11) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_Hc6].
% 42.98/43.19 congruence.
% 42.98/43.19 elim (classic ((op1 (e13) (e12)) = (op1 (e13) (e12)))); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hc8 ].
% 42.98/43.19 cut (((op1 (e13) (e12)) = (op1 (e13) (e12))) = ((e11) = (op1 (e13) (e12)))).
% 42.98/43.19 intro zenon_D_pnotp.
% 42.98/43.19 apply zenon_Hc6.
% 42.98/43.19 rewrite <- zenon_D_pnotp.
% 42.98/43.19 exact zenon_Hc7.
% 42.98/43.19 cut (((op1 (e13) (e12)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_Hc8].
% 42.98/43.19 cut (((op1 (e13) (e12)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_Hc9].
% 42.98/43.19 congruence.
% 42.98/43.19 exact (zenon_Hc9 zenon_Hc5).
% 42.98/43.19 apply zenon_Hc8. apply refl_equal.
% 42.98/43.19 apply zenon_Hc8. apply refl_equal.
% 42.98/43.19 apply (zenon_L14_); trivial.
% 42.98/43.19 (* end of lemma zenon_L40_ *)
% 42.98/43.19 assert (zenon_L41_ : (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((op1 (e10) (e11)) = (e11)) -> (~((op1 (e11) (e12)) = (e11))) -> (~((e11) = (e13))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> ((e13) = (op1 (e12) (e12))) -> False).
% 42.98/43.19 do 0 intro. intros zenon_Hca zenon_Hbd zenon_Hbc zenon_H6f zenon_Hc1 zenon_Hc4 zenon_H57 zenon_H48.
% 42.98/43.19 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hcb ].
% 42.98/43.19 apply (zenon_L37_); trivial.
% 42.98/43.19 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H72 | zenon_intro zenon_Hcc ].
% 42.98/43.19 exact (zenon_H6f zenon_H72).
% 42.98/43.19 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc5 ].
% 42.98/43.19 apply (zenon_L39_); trivial.
% 42.98/43.19 apply (zenon_L40_); trivial.
% 42.98/43.19 (* end of lemma zenon_L41_ *)
% 42.98/43.19 assert (zenon_L42_ : (((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13)))))))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((e11) = (e13))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> ((e13) = (op1 (e12) (e12))) -> False).
% 42.98/43.19 do 0 intro. intros zenon_Hcd zenon_Hca zenon_Hbd zenon_H6f zenon_Hc1 zenon_Hc4 zenon_H57 zenon_H48.
% 42.98/43.19 apply (zenon_and_s _ _ zenon_Hcd). zenon_intro zenon_Hcf. zenon_intro zenon_Hce.
% 42.98/43.19 apply (zenon_and_s _ _ zenon_Hce). zenon_intro zenon_Hbc. zenon_intro zenon_Hd0.
% 42.98/43.19 apply (zenon_L41_); trivial.
% 42.98/43.19 (* end of lemma zenon_L42_ *)
% 42.98/43.19 assert (zenon_L43_ : (~((e11) = (e11))) -> False).
% 42.98/43.19 do 0 intro. intros zenon_Hd1.
% 42.98/43.19 apply zenon_Hd1. apply refl_equal.
% 42.98/43.19 (* end of lemma zenon_L43_ *)
% 42.98/43.19 assert (zenon_L44_ : (~((op1 (e11) (op1 (e11) (e11))) = (op1 (e11) (e11)))) -> ((op1 (e11) (e11)) = (e11)) -> False).
% 42.98/43.19 do 0 intro. intros zenon_Hd2 zenon_Hd3.
% 42.98/43.19 cut (((op1 (e11) (e11)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_Hd4].
% 42.98/43.19 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_Hd1].
% 42.98/43.19 congruence.
% 42.98/43.19 apply zenon_Hd1. apply refl_equal.
% 42.98/43.19 exact (zenon_Hd4 zenon_Hd3).
% 42.98/43.19 (* end of lemma zenon_L44_ *)
% 42.98/43.19 assert (zenon_L45_ : (((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13)))))))) -> False).
% 42.98/43.19 do 0 intro. intros zenon_Hd5.
% 42.98/43.19 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_Hd3. zenon_intro zenon_Hd6.
% 42.98/43.19 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_Hd3. zenon_intro zenon_Hd0.
% 42.98/43.19 apply (zenon_and_s _ _ zenon_Hd0). zenon_intro zenon_Hd8. zenon_intro zenon_Hd7.
% 42.98/43.19 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hda. zenon_intro zenon_Hd9.
% 42.98/43.19 cut (((op1 (e11) (e11)) = (e11)) = ((op1 (e11) (op1 (e11) (e11))) = (e11))).
% 42.98/43.19 intro zenon_D_pnotp.
% 42.98/43.19 apply zenon_Hda.
% 42.98/43.19 rewrite <- zenon_D_pnotp.
% 42.98/43.19 exact zenon_Hd3.
% 42.98/43.19 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_Hd1].
% 42.98/43.19 cut (((op1 (e11) (e11)) = (op1 (e11) (op1 (e11) (e11))))); [idtac | apply NNPP; zenon_intro zenon_Hdb].
% 42.98/43.19 congruence.
% 42.98/43.19 elim (classic ((op1 (e11) (op1 (e11) (e11))) = (op1 (e11) (op1 (e11) (e11))))); [ zenon_intro zenon_Hdc | zenon_intro zenon_Hdd ].
% 42.98/43.19 cut (((op1 (e11) (op1 (e11) (e11))) = (op1 (e11) (op1 (e11) (e11)))) = ((op1 (e11) (e11)) = (op1 (e11) (op1 (e11) (e11))))).
% 42.98/43.19 intro zenon_D_pnotp.
% 42.98/43.19 apply zenon_Hdb.
% 42.98/43.19 rewrite <- zenon_D_pnotp.
% 42.98/43.19 exact zenon_Hdc.
% 42.98/43.19 cut (((op1 (e11) (op1 (e11) (e11))) = (op1 (e11) (op1 (e11) (e11))))); [idtac | apply NNPP; zenon_intro zenon_Hdd].
% 42.98/43.19 cut (((op1 (e11) (op1 (e11) (e11))) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_Hd2].
% 42.98/43.19 congruence.
% 42.98/43.19 apply (zenon_L44_); trivial.
% 42.98/43.19 apply zenon_Hdd. apply refl_equal.
% 42.98/43.19 apply zenon_Hdd. apply refl_equal.
% 42.98/43.19 apply zenon_Hd1. apply refl_equal.
% 42.98/43.19 (* end of lemma zenon_L45_ *)
% 42.98/43.19 assert (zenon_L46_ : (((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13)))))))) -> (~((op1 (e11) (e12)) = (e11))) -> False).
% 42.98/43.19 do 0 intro. intros zenon_Hde zenon_H6f.
% 42.98/43.19 apply (zenon_and_s _ _ zenon_Hde). zenon_intro zenon_H72. zenon_intro zenon_Hdf.
% 42.98/43.19 exact (zenon_H6f zenon_H72).
% 42.98/43.19 (* end of lemma zenon_L46_ *)
% 42.98/43.19 assert (zenon_L47_ : (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> ((op1 (e13) (e11)) = (e11)) -> ((e13) = (op1 (e12) (e12))) -> False).
% 42.98/43.19 do 0 intro. intros zenon_He0 zenon_H57 zenon_He1 zenon_H48.
% 42.98/43.19 cut (((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) = ((op1 (e13) (e11)) = (op1 (e13) (e13)))).
% 42.98/43.19 intro zenon_D_pnotp.
% 42.98/43.19 apply zenon_He0.
% 42.98/43.19 rewrite <- zenon_D_pnotp.
% 42.98/43.19 exact zenon_H57.
% 42.98/43.19 cut (((op1 (op1 (e12) (e12)) (op1 (e12) (e12))) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H54].
% 42.98/43.19 cut (((e11) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_He2].
% 42.98/43.19 congruence.
% 42.98/43.19 elim (classic ((op1 (e13) (e11)) = (op1 (e13) (e11)))); [ zenon_intro zenon_He3 | zenon_intro zenon_He4 ].
% 42.98/43.19 cut (((op1 (e13) (e11)) = (op1 (e13) (e11))) = ((e11) = (op1 (e13) (e11)))).
% 42.98/43.19 intro zenon_D_pnotp.
% 42.98/43.19 apply zenon_He2.
% 42.98/43.19 rewrite <- zenon_D_pnotp.
% 42.98/43.19 exact zenon_He3.
% 42.98/43.19 cut (((op1 (e13) (e11)) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_He4].
% 42.98/43.19 cut (((op1 (e13) (e11)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_He5].
% 42.98/43.19 congruence.
% 42.98/43.19 exact (zenon_He5 zenon_He1).
% 42.98/43.19 apply zenon_He4. apply refl_equal.
% 42.98/43.19 apply zenon_He4. apply refl_equal.
% 42.98/43.19 apply (zenon_L14_); trivial.
% 42.98/43.19 (* end of lemma zenon_L47_ *)
% 42.98/43.19 assert (zenon_L48_ : (((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13)))))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> ((e13) = (op1 (e12) (e12))) -> False).
% 42.98/43.19 do 0 intro. intros zenon_He6 zenon_He0 zenon_H57 zenon_H48.
% 42.98/43.19 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H58. zenon_intro zenon_He7.
% 42.98/43.19 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_He1. zenon_intro zenon_Hd0.
% 42.98/43.19 apply (zenon_L47_); trivial.
% 42.98/43.19 (* end of lemma zenon_L48_ *)
% 42.98/43.19 assert (zenon_L49_ : (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e10) (e12)) = (e12)) -> ((op1 (e11) (e12)) = (e12)) -> False).
% 42.98/43.19 do 0 intro. intros zenon_He8 zenon_He9 zenon_H67.
% 42.98/43.19 cut (((op1 (e10) (e12)) = (e12)) = ((op1 (e10) (e12)) = (op1 (e11) (e12)))).
% 42.98/43.19 intro zenon_D_pnotp.
% 42.98/43.19 apply zenon_He8.
% 42.98/43.19 rewrite <- zenon_D_pnotp.
% 42.98/43.19 exact zenon_He9.
% 42.98/43.19 cut (((e12) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_Hea].
% 42.98/43.19 cut (((op1 (e10) (e12)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H4d].
% 42.98/43.19 congruence.
% 42.98/43.19 apply zenon_H4d. apply refl_equal.
% 42.98/43.19 apply zenon_Hea. apply sym_equal. exact zenon_H67.
% 42.98/43.19 (* end of lemma zenon_L49_ *)
% 42.98/43.19 assert (zenon_L50_ : (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (e11))) -> ((op1 (e10) (e12)) = (e12)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((e13) = (op1 (e12) (e12))) -> False).
% 42.98/43.19 do 0 intro. intros zenon_H6e zenon_H60 zenon_H5f zenon_H6f zenon_He9 zenon_He8 zenon_H6a zenon_H48.
% 42.98/43.19 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H61 | zenon_intro zenon_H70 ].
% 42.98/43.19 apply (zenon_L18_); trivial.
% 42.98/43.19 apply (zenon_or_s _ _ zenon_H70); [ zenon_intro zenon_H72 | zenon_intro zenon_H71 ].
% 42.98/43.19 exact (zenon_H6f zenon_H72).
% 42.98/43.19 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H67 | zenon_intro zenon_H6b ].
% 42.98/43.19 apply (zenon_L49_); trivial.
% 42.98/43.19 apply (zenon_L20_); trivial.
% 42.98/43.19 (* end of lemma zenon_L50_ *)
% 42.98/43.19 assert (zenon_L51_ : (((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13)))))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((e13) = (op1 (e12) (e12))) -> False).
% 42.98/43.19 do 0 intro. intros zenon_Heb zenon_H6e zenon_H60 zenon_H5f zenon_H6f zenon_He8 zenon_H6a zenon_H48.
% 42.98/43.19 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_Hed. zenon_intro zenon_Hec.
% 42.98/43.19 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_He9. zenon_intro zenon_Hee.
% 42.98/43.19 apply (zenon_L50_); trivial.
% 42.98/43.19 (* end of lemma zenon_L51_ *)
% 42.98/43.19 assert (zenon_L52_ : (~((op1 (e12) (op1 (e12) (e10))) = (e10))) -> ((op1 (e12) (e10)) = (e10)) -> False).
% 42.98/43.19 do 0 intro. intros zenon_Hef zenon_Hf0.
% 42.98/43.19 cut (((op1 (e12) (e10)) = (e10)) = ((op1 (e12) (op1 (e12) (e10))) = (e10))).
% 42.98/43.19 intro zenon_D_pnotp.
% 42.98/43.19 apply zenon_Hef.
% 42.98/43.19 rewrite <- zenon_D_pnotp.
% 42.98/43.19 exact zenon_Hf0.
% 42.98/43.19 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H1e].
% 42.98/43.19 cut (((op1 (e12) (e10)) = (op1 (e12) (op1 (e12) (e10))))); [idtac | apply NNPP; zenon_intro zenon_Hf1].
% 42.98/43.19 congruence.
% 42.98/43.19 elim (classic ((op1 (e12) (op1 (e12) (e10))) = (op1 (e12) (op1 (e12) (e10))))); [ zenon_intro zenon_Hf2 | zenon_intro zenon_Hf3 ].
% 42.98/43.19 cut (((op1 (e12) (op1 (e12) (e10))) = (op1 (e12) (op1 (e12) (e10)))) = ((op1 (e12) (e10)) = (op1 (e12) (op1 (e12) (e10))))).
% 42.98/43.19 intro zenon_D_pnotp.
% 42.98/43.19 apply zenon_Hf1.
% 42.98/43.19 rewrite <- zenon_D_pnotp.
% 42.98/43.19 exact zenon_Hf2.
% 42.98/43.19 cut (((op1 (e12) (op1 (e12) (e10))) = (op1 (e12) (op1 (e12) (e10))))); [idtac | apply NNPP; zenon_intro zenon_Hf3].
% 42.98/43.19 cut (((op1 (e12) (op1 (e12) (e10))) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_Hf4].
% 42.98/43.19 congruence.
% 42.98/43.19 cut (((op1 (e12) (e10)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_Hf5].
% 42.98/43.19 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H5d].
% 42.98/43.19 congruence.
% 42.98/43.19 apply zenon_H5d. apply refl_equal.
% 42.98/43.19 exact (zenon_Hf5 zenon_Hf0).
% 42.98/43.19 apply zenon_Hf3. apply refl_equal.
% 42.98/43.19 apply zenon_Hf3. apply refl_equal.
% 42.98/43.19 apply zenon_H1e. apply refl_equal.
% 42.98/43.19 (* end of lemma zenon_L52_ *)
% 42.98/43.19 assert (zenon_L53_ : (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e10) (e13)) = (e10)) -> ((op1 (e12) (e13)) = (e10)) -> False).
% 42.98/43.19 do 0 intro. intros zenon_Hf6 zenon_Hba zenon_Hf7.
% 42.98/43.19 cut (((op1 (e10) (e13)) = (e10)) = ((op1 (e10) (e13)) = (op1 (e12) (e13)))).
% 42.98/43.19 intro zenon_D_pnotp.
% 42.98/43.19 apply zenon_Hf6.
% 42.98/43.19 rewrite <- zenon_D_pnotp.
% 42.98/43.19 exact zenon_Hba.
% 42.98/43.19 cut (((e10) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Hf8].
% 42.98/43.19 cut (((op1 (e10) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H77].
% 42.98/43.19 congruence.
% 42.98/43.19 apply zenon_H77. apply refl_equal.
% 42.98/43.19 apply zenon_Hf8. apply sym_equal. exact zenon_Hf7.
% 42.98/43.19 (* end of lemma zenon_L53_ *)
% 42.98/43.19 assert (zenon_L54_ : (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> ((op1 (e12) (e13)) = (e11)) -> ((e13) = (op1 (e12) (e12))) -> False).
% 42.98/43.19 do 0 intro. intros zenon_Hf9 zenon_H57 zenon_Hfa zenon_H48.
% 42.98/43.19 cut (((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) = ((op1 (e12) (e13)) = (op1 (e13) (e13)))).
% 42.98/43.19 intro zenon_D_pnotp.
% 42.98/43.19 apply zenon_Hf9.
% 42.98/43.19 rewrite <- zenon_D_pnotp.
% 42.98/43.19 exact zenon_H57.
% 42.98/43.19 cut (((op1 (op1 (e12) (e12)) (op1 (e12) (e12))) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H54].
% 42.98/43.19 cut (((e11) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Hfb].
% 42.98/43.19 congruence.
% 42.98/43.19 elim (classic ((op1 (e12) (e13)) = (op1 (e12) (e13)))); [ zenon_intro zenon_Hfc | zenon_intro zenon_Hfd ].
% 42.98/43.19 cut (((op1 (e12) (e13)) = (op1 (e12) (e13))) = ((e11) = (op1 (e12) (e13)))).
% 42.98/43.19 intro zenon_D_pnotp.
% 42.98/43.19 apply zenon_Hfb.
% 42.98/43.19 rewrite <- zenon_D_pnotp.
% 42.98/43.19 exact zenon_Hfc.
% 42.98/43.19 cut (((op1 (e12) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Hfd].
% 42.98/43.19 cut (((op1 (e12) (e13)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_Hfe].
% 42.98/43.19 congruence.
% 42.98/43.19 exact (zenon_Hfe zenon_Hfa).
% 42.98/43.19 apply zenon_Hfd. apply refl_equal.
% 42.98/43.19 apply zenon_Hfd. apply refl_equal.
% 42.98/43.19 apply (zenon_L14_); trivial.
% 42.98/43.19 (* end of lemma zenon_L54_ *)
% 42.98/43.19 assert (zenon_L55_ : ((e13) = (op1 (e12) (e12))) -> ((op1 (e12) (e13)) = (e12)) -> (~((op1 (e12) (op1 (e12) (e13))) = (e13))) -> False).
% 42.98/43.19 do 0 intro. intros zenon_H48 zenon_Hff zenon_H100.
% 42.98/43.19 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H43 | zenon_intro zenon_H44 ].
% 42.98/43.19 cut (((e13) = (e13)) = ((op1 (e12) (op1 (e12) (e13))) = (e13))).
% 42.98/43.19 intro zenon_D_pnotp.
% 42.98/43.19 apply zenon_H100.
% 42.98/43.19 rewrite <- zenon_D_pnotp.
% 42.98/43.19 exact zenon_H43.
% 42.98/43.19 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H44].
% 42.98/43.19 cut (((e13) = (op1 (e12) (op1 (e12) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H101].
% 42.98/43.19 congruence.
% 42.98/43.19 cut (((e13) = (op1 (e12) (e12))) = ((e13) = (op1 (e12) (op1 (e12) (e13))))).
% 42.98/43.19 intro zenon_D_pnotp.
% 42.98/43.19 apply zenon_H101.
% 42.98/43.19 rewrite <- zenon_D_pnotp.
% 42.98/43.19 exact zenon_H48.
% 42.98/43.19 cut (((op1 (e12) (e12)) = (op1 (e12) (op1 (e12) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H102].
% 42.98/43.19 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H44].
% 42.98/43.19 congruence.
% 42.98/43.19 apply zenon_H44. apply refl_equal.
% 42.98/43.19 cut (((e12) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H103].
% 42.98/43.19 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H5d].
% 42.98/43.19 congruence.
% 42.98/43.19 apply zenon_H5d. apply refl_equal.
% 42.98/43.19 apply zenon_H103. apply sym_equal. exact zenon_Hff.
% 42.98/43.19 apply zenon_H44. apply refl_equal.
% 42.98/43.19 apply zenon_H44. apply refl_equal.
% 42.98/43.19 (* end of lemma zenon_L55_ *)
% 42.98/43.19 assert (zenon_L56_ : ((e13) = (op1 (e12) (e12))) -> ((op1 (e12) (e13)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> False).
% 42.98/43.19 do 0 intro. intros zenon_H48 zenon_H104 zenon_H105.
% 42.98/43.19 elim (classic ((op1 (e12) (e13)) = (op1 (e12) (e13)))); [ zenon_intro zenon_Hfc | zenon_intro zenon_Hfd ].
% 42.98/43.19 cut (((op1 (e12) (e13)) = (op1 (e12) (e13))) = ((op1 (e12) (e12)) = (op1 (e12) (e13)))).
% 42.98/43.19 intro zenon_D_pnotp.
% 42.98/43.19 apply zenon_H105.
% 42.98/43.19 rewrite <- zenon_D_pnotp.
% 42.98/43.19 exact zenon_Hfc.
% 42.98/43.19 cut (((op1 (e12) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Hfd].
% 42.98/43.19 cut (((op1 (e12) (e13)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H106].
% 42.98/43.19 congruence.
% 42.98/43.19 cut (((e13) = (op1 (e12) (e12))) = ((op1 (e12) (e13)) = (op1 (e12) (e12)))).
% 42.98/43.19 intro zenon_D_pnotp.
% 42.98/43.19 apply zenon_H106.
% 42.98/43.19 rewrite <- zenon_D_pnotp.
% 42.98/43.19 exact zenon_H48.
% 42.98/43.19 cut (((op1 (e12) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H4a].
% 42.98/43.19 cut (((e13) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H107].
% 42.98/43.19 congruence.
% 42.98/43.19 elim (classic ((op1 (e12) (e13)) = (op1 (e12) (e13)))); [ zenon_intro zenon_Hfc | zenon_intro zenon_Hfd ].
% 42.98/43.19 cut (((op1 (e12) (e13)) = (op1 (e12) (e13))) = ((e13) = (op1 (e12) (e13)))).
% 42.98/43.19 intro zenon_D_pnotp.
% 42.98/43.19 apply zenon_H107.
% 42.98/43.19 rewrite <- zenon_D_pnotp.
% 42.98/43.19 exact zenon_Hfc.
% 42.98/43.19 cut (((op1 (e12) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Hfd].
% 42.98/43.19 cut (((op1 (e12) (e13)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H108].
% 42.98/43.19 congruence.
% 42.98/43.19 exact (zenon_H108 zenon_H104).
% 42.98/43.19 apply zenon_Hfd. apply refl_equal.
% 42.98/43.19 apply zenon_Hfd. apply refl_equal.
% 42.98/43.19 apply zenon_H4a. apply refl_equal.
% 42.98/43.19 apply zenon_Hfd. apply refl_equal.
% 42.98/43.19 apply zenon_Hfd. apply refl_equal.
% 42.98/43.19 (* end of lemma zenon_L56_ *)
% 42.98/43.19 assert (zenon_L57_ : (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> ((op1 (e10) (e13)) = (e10)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (op1 (e12) (e13))) = (e13))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> False).
% 42.98/43.19 do 0 intro. intros zenon_H109 zenon_Hba zenon_Hf6 zenon_H57 zenon_Hf9 zenon_H100 zenon_H48 zenon_H105.
% 42.98/43.19 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H10a ].
% 42.98/43.19 apply (zenon_L53_); trivial.
% 42.98/43.19 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hfa | zenon_intro zenon_H10b ].
% 42.98/43.19 apply (zenon_L54_); trivial.
% 42.98/43.19 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_Hff | zenon_intro zenon_H104 ].
% 42.98/43.19 apply (zenon_L55_); trivial.
% 42.98/43.19 apply (zenon_L56_); trivial.
% 42.98/43.19 (* end of lemma zenon_L57_ *)
% 42.98/43.19 assert (zenon_L58_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (op1 (e12) (e10))) = (e10))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((e23) = (op2 (e22) (e22))) -> ((op2 (e20) (e20)) = (e23)) -> ((h3 (e13)) = (op2 (e22) (e22))) -> (~((h3 (op1 (e10) (e10))) = (op2 (h3 (e10)) (h3 (e10))))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e12)) = (op1 (e12) (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) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e12)) = (e10))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (op1 (e12) (e13))) = (e13))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> False).
% 42.98/43.19 do 0 intro. intros zenon_H10c zenon_H60 zenon_Hb2 zenon_Hef zenon_H7b zenon_H2c zenon_H2b zenon_H33 zenon_H32 zenon_H30 zenon_H2f zenon_H42 zenon_H47 zenon_H78 zenon_H4f zenon_H56 zenon_H6a zenon_H66 zenon_H6f zenon_H5f zenon_H6e zenon_H73 zenon_H21 zenon_H10d zenon_Haf zenon_H109 zenon_Hf6 zenon_H57 zenon_Hf9 zenon_H100 zenon_H48 zenon_H105.
% 42.98/43.19 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_H20 | zenon_intro zenon_H10e ].
% 42.98/43.19 exact (zenon_H21 zenon_H20).
% 42.98/43.19 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H40 | zenon_intro zenon_H10f ].
% 42.98/43.19 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H20 | zenon_intro zenon_H110 ].
% 42.98/43.19 exact (zenon_H21 zenon_H20).
% 42.98/43.19 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_H50 | zenon_intro zenon_H111 ].
% 42.98/43.19 apply (zenon_L24_); trivial.
% 42.98/43.19 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hf0 | zenon_intro zenon_Hb3 ].
% 42.98/43.19 apply (zenon_L52_); trivial.
% 42.98/43.19 apply (zenon_L35_); trivial.
% 42.98/43.19 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_Had | zenon_intro zenon_Hba ].
% 42.98/43.19 exact (zenon_Haf zenon_Had).
% 42.98/43.19 apply (zenon_L57_); trivial.
% 42.98/43.19 (* end of lemma zenon_L58_ *)
% 42.98/43.19 assert (zenon_L59_ : (((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13)))))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (e10))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((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) (e12)) = (op1 (e12) (e12)))) -> (~((e10) = (e13))) -> (~((h3 (op1 (e10) (e10))) = (op2 (h3 (e10)) (h3 (e10))))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> ((op2 (e20) (e21)) = (e20)) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((e20) = (e23))) -> ((op2 (e21) (e20)) = (e20)) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (e23))) -> False).
% 42.98/43.19 do 0 intro. intros zenon_H112 zenon_Ha8 zenon_H105 zenon_H48 zenon_Hf9 zenon_H57 zenon_Hf6 zenon_H109 zenon_Haf zenon_H10d zenon_H21 zenon_H73 zenon_H6e zenon_H5f zenon_H6f zenon_H66 zenon_H6a zenon_H56 zenon_H4f zenon_H78 zenon_H47 zenon_H42 zenon_H2f zenon_H30 zenon_H2b zenon_H2c zenon_H7b zenon_Hb2 zenon_H60 zenon_H10c zenon_H7e zenon_H85 zenon_Ha2 zenon_H93 zenon_H80 zenon_H99 zenon_H33 zenon_H9c zenon_Ha3.
% 42.98/43.19 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H114. zenon_intro zenon_H113.
% 42.98/43.19 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_H67. zenon_intro zenon_Hee.
% 42.98/43.19 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_Hef. zenon_intro zenon_H115.
% 42.98/43.19 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_H117. zenon_intro zenon_H116.
% 42.98/43.19 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H118. zenon_intro zenon_H100.
% 42.98/43.19 apply (zenon_or_s _ _ zenon_Ha8); [ zenon_intro zenon_H32 | zenon_intro zenon_Haa ].
% 42.98/43.19 apply (zenon_L58_); trivial.
% 42.98/43.19 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7f | zenon_intro zenon_Hab ].
% 42.98/43.19 apply (zenon_L25_); trivial.
% 42.98/43.19 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H86 | zenon_intro zenon_H92 ].
% 42.98/43.19 apply (zenon_L26_); trivial.
% 42.98/43.19 apply (zenon_L31_); trivial.
% 42.98/43.19 (* end of lemma zenon_L59_ *)
% 42.98/43.19 assert (zenon_L60_ : ((e13) = (op1 (e12) (e12))) -> ((op1 (e12) (e12)) = (e12)) -> (~((e12) = (e13))) -> False).
% 42.98/43.19 do 0 intro. intros zenon_H48 zenon_H119 zenon_H11a.
% 42.98/43.19 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H43 | zenon_intro zenon_H44 ].
% 42.98/43.19 cut (((e13) = (e13)) = ((e12) = (e13))).
% 42.98/43.19 intro zenon_D_pnotp.
% 42.98/43.19 apply zenon_H11a.
% 42.98/43.19 rewrite <- zenon_D_pnotp.
% 42.98/43.19 exact zenon_H43.
% 42.98/43.19 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H44].
% 42.98/43.19 cut (((e13) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H11b].
% 42.98/43.19 congruence.
% 42.98/43.19 cut (((e13) = (op1 (e12) (e12))) = ((e13) = (e12))).
% 42.98/43.19 intro zenon_D_pnotp.
% 42.98/43.19 apply zenon_H11b.
% 42.98/43.19 rewrite <- zenon_D_pnotp.
% 42.98/43.19 exact zenon_H48.
% 42.98/43.19 cut (((op1 (e12) (e12)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H11c].
% 42.98/43.19 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H44].
% 42.98/43.19 congruence.
% 42.98/43.19 apply zenon_H44. apply refl_equal.
% 42.98/43.19 exact (zenon_H11c zenon_H119).
% 42.98/43.19 apply zenon_H44. apply refl_equal.
% 42.98/43.19 apply zenon_H44. apply refl_equal.
% 42.98/43.19 (* end of lemma zenon_L60_ *)
% 42.98/43.19 assert (zenon_L61_ : (((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13)))))))) -> ((e13) = (op1 (e12) (e12))) -> (~((e12) = (e13))) -> False).
% 42.98/43.19 do 0 intro. intros zenon_H11d zenon_H48 zenon_H11a.
% 42.98/43.19 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H119. zenon_intro zenon_H11e.
% 42.98/43.19 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H119. zenon_intro zenon_Hee.
% 42.98/43.19 apply (zenon_L60_); trivial.
% 42.98/43.19 (* end of lemma zenon_L61_ *)
% 42.98/43.19 assert (zenon_L62_ : (((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13)))))))) -> ((e13) = (op1 (e12) (e12))) -> False).
% 42.98/43.19 do 0 intro. intros zenon_H11f zenon_H48.
% 42.98/43.19 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hff. zenon_intro zenon_H120.
% 42.98/43.19 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H121. zenon_intro zenon_Hee.
% 42.98/43.19 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_Hef. zenon_intro zenon_H115.
% 42.98/43.19 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_H117. zenon_intro zenon_H116.
% 42.98/43.19 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H118. zenon_intro zenon_H100.
% 42.98/43.19 apply (zenon_L55_); trivial.
% 42.98/43.19 (* end of lemma zenon_L62_ *)
% 42.98/43.19 assert (zenon_L63_ : (((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13)))))))) -> (~((op1 (e13) (e10)) = (e13))) -> False).
% 42.98/43.19 do 0 intro. intros zenon_H122 zenon_H123.
% 42.98/43.19 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H125. zenon_intro zenon_H124.
% 42.98/43.19 exact (zenon_H123 zenon_H125).
% 42.98/43.19 (* end of lemma zenon_L63_ *)
% 42.98/43.19 assert (zenon_L64_ : (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> ((op1 (e13) (e10)) = (e11)) -> ((e13) = (op1 (e12) (e12))) -> False).
% 42.98/43.19 do 0 intro. intros zenon_H126 zenon_H57 zenon_H127 zenon_H48.
% 42.98/43.19 cut (((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) = ((op1 (e13) (e10)) = (op1 (e13) (e13)))).
% 42.98/43.19 intro zenon_D_pnotp.
% 42.98/43.19 apply zenon_H126.
% 42.98/43.19 rewrite <- zenon_D_pnotp.
% 42.98/43.19 exact zenon_H57.
% 42.98/43.19 cut (((op1 (op1 (e12) (e12)) (op1 (e12) (e12))) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H54].
% 42.98/43.19 cut (((e11) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H128].
% 42.98/43.19 congruence.
% 42.98/43.19 elim (classic ((op1 (e13) (e10)) = (op1 (e13) (e10)))); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hb6 ].
% 42.98/43.19 cut (((op1 (e13) (e10)) = (op1 (e13) (e10))) = ((e11) = (op1 (e13) (e10)))).
% 42.98/43.19 intro zenon_D_pnotp.
% 42.98/43.19 apply zenon_H128.
% 42.98/43.19 rewrite <- zenon_D_pnotp.
% 42.98/43.19 exact zenon_Hb5.
% 42.98/43.19 cut (((op1 (e13) (e10)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_Hb6].
% 42.98/43.19 cut (((op1 (e13) (e10)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H129].
% 42.98/43.19 congruence.
% 42.98/43.19 exact (zenon_H129 zenon_H127).
% 42.98/43.19 apply zenon_Hb6. apply refl_equal.
% 42.98/43.19 apply zenon_Hb6. apply refl_equal.
% 42.98/43.19 apply (zenon_L14_); trivial.
% 42.98/43.19 (* end of lemma zenon_L64_ *)
% 42.98/43.19 assert (zenon_L65_ : (~((op1 (e13) (op1 (e13) (e11))) = (e11))) -> ((op1 (e13) (e13)) = (e11)) -> ((op1 (e13) (e11)) = (e13)) -> False).
% 42.98/43.19 do 0 intro. intros zenon_H12a zenon_H12b zenon_H12c.
% 42.98/43.19 cut (((op1 (e13) (e13)) = (e11)) = ((op1 (e13) (op1 (e13) (e11))) = (e11))).
% 42.98/43.19 intro zenon_D_pnotp.
% 42.98/43.19 apply zenon_H12a.
% 42.98/43.19 rewrite <- zenon_D_pnotp.
% 42.98/43.19 exact zenon_H12b.
% 42.98/43.19 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_Hd1].
% 42.98/43.19 cut (((op1 (e13) (e13)) = (op1 (e13) (op1 (e13) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H12d].
% 42.98/43.19 congruence.
% 42.98/43.19 elim (classic ((op1 (e13) (op1 (e13) (e11))) = (op1 (e13) (op1 (e13) (e11))))); [ zenon_intro zenon_H12e | zenon_intro zenon_H12f ].
% 42.98/43.19 cut (((op1 (e13) (op1 (e13) (e11))) = (op1 (e13) (op1 (e13) (e11)))) = ((op1 (e13) (e13)) = (op1 (e13) (op1 (e13) (e11))))).
% 42.98/43.19 intro zenon_D_pnotp.
% 42.98/43.19 apply zenon_H12d.
% 42.98/43.19 rewrite <- zenon_D_pnotp.
% 42.98/43.19 exact zenon_H12e.
% 42.98/43.19 cut (((op1 (e13) (op1 (e13) (e11))) = (op1 (e13) (op1 (e13) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H12f].
% 42.98/43.19 cut (((op1 (e13) (op1 (e13) (e11))) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H130].
% 42.98/43.19 congruence.
% 42.98/43.19 cut (((op1 (e13) (e11)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H131].
% 42.98/43.19 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H44].
% 42.98/43.19 congruence.
% 42.98/43.19 apply zenon_H44. apply refl_equal.
% 42.98/43.19 exact (zenon_H131 zenon_H12c).
% 42.98/43.19 apply zenon_H12f. apply refl_equal.
% 42.98/43.19 apply zenon_H12f. apply refl_equal.
% 42.98/43.19 apply zenon_Hd1. apply refl_equal.
% 42.98/43.19 (* end of lemma zenon_L65_ *)
% 42.98/43.19 assert (zenon_L66_ : (((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13)))))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> False).
% 42.98/43.19 do 0 intro. intros zenon_H132 zenon_H133 zenon_H126 zenon_He0 zenon_H48 zenon_H57 zenon_Hc4.
% 42.98/43.19 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H12c. zenon_intro zenon_H134.
% 42.98/43.19 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H75. zenon_intro zenon_H135.
% 42.98/43.19 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H137. zenon_intro zenon_H136.
% 42.98/43.19 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_H12a. zenon_intro zenon_H138.
% 42.98/43.19 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H127 | zenon_intro zenon_H139 ].
% 42.98/43.19 apply (zenon_L64_); trivial.
% 42.98/43.19 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_He1 | zenon_intro zenon_H13a ].
% 42.98/43.19 apply (zenon_L47_); trivial.
% 42.98/43.19 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H12b ].
% 42.98/43.19 apply (zenon_L40_); trivial.
% 42.98/43.19 apply (zenon_L65_); trivial.
% 42.98/43.19 (* end of lemma zenon_L66_ *)
% 42.98/43.19 assert (zenon_L67_ : (((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13)))))))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> False).
% 42.98/43.19 do 0 intro. intros zenon_H13b zenon_H48 zenon_H105.
% 42.98/43.19 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_H13d. zenon_intro zenon_H13c.
% 42.98/43.19 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H104. zenon_intro zenon_H135.
% 42.98/43.19 apply (zenon_L56_); trivial.
% 42.98/43.19 (* end of lemma zenon_L67_ *)
% 42.98/43.19 assert (zenon_L68_ : ((op1 (e13) (e13)) = (e11)) -> ((op1 (e13) (e13)) = (e13)) -> (~((e11) = (e13))) -> False).
% 42.98/43.19 do 0 intro. intros zenon_H12b zenon_H13e zenon_Hc1.
% 42.98/43.19 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H43 | zenon_intro zenon_H44 ].
% 42.98/43.19 cut (((e13) = (e13)) = ((e11) = (e13))).
% 42.98/43.19 intro zenon_D_pnotp.
% 42.98/43.19 apply zenon_Hc1.
% 42.98/43.19 rewrite <- zenon_D_pnotp.
% 42.98/43.19 exact zenon_H43.
% 42.98/43.19 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H44].
% 42.98/43.19 cut (((e13) = (e11))); [idtac | apply NNPP; zenon_intro zenon_Hc2].
% 42.98/43.19 congruence.
% 42.98/43.19 cut (((op1 (e13) (e13)) = (e11)) = ((e13) = (e11))).
% 42.98/43.19 intro zenon_D_pnotp.
% 42.98/43.19 apply zenon_Hc2.
% 42.98/43.19 rewrite <- zenon_D_pnotp.
% 42.98/43.19 exact zenon_H12b.
% 42.98/43.19 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_Hd1].
% 42.98/43.19 cut (((op1 (e13) (e13)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H13f].
% 42.98/43.19 congruence.
% 42.98/43.19 exact (zenon_H13f zenon_H13e).
% 42.98/43.19 apply zenon_Hd1. apply refl_equal.
% 42.98/43.19 apply zenon_H44. apply refl_equal.
% 42.98/43.19 apply zenon_H44. apply refl_equal.
% 42.98/43.19 (* end of lemma zenon_L68_ *)
% 42.98/43.19 assert (zenon_L69_ : (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e13)) = (e13)) -> (~((e11) = (e13))) -> False).
% 42.98/43.19 do 0 intro. intros zenon_H133 zenon_H126 zenon_He0 zenon_H48 zenon_H57 zenon_Hc4 zenon_H13e zenon_Hc1.
% 42.98/43.19 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H127 | zenon_intro zenon_H139 ].
% 42.98/43.19 apply (zenon_L64_); trivial.
% 42.98/43.19 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_He1 | zenon_intro zenon_H13a ].
% 42.98/43.19 apply (zenon_L47_); trivial.
% 42.98/43.19 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H12b ].
% 42.98/43.19 apply (zenon_L40_); trivial.
% 42.98/43.19 apply (zenon_L68_); trivial.
% 42.98/43.19 (* end of lemma zenon_L69_ *)
% 42.98/43.19 assert (zenon_L70_ : (((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13)))))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((e11) = (e13))) -> False).
% 42.98/43.19 do 0 intro. intros zenon_H140 zenon_H133 zenon_H126 zenon_He0 zenon_H48 zenon_H57 zenon_Hc4 zenon_Hc1.
% 42.98/43.19 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H13e. zenon_intro zenon_H141.
% 42.98/43.19 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H13e. zenon_intro zenon_H135.
% 42.98/43.19 apply (zenon_L69_); trivial.
% 42.98/43.19 (* end of lemma zenon_L70_ *)
% 42.98/43.19 assert (zenon_L71_ : ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))))))))))))))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op2 (e23) (e20)) = (e23))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((e23) = (op2 (e22) (e22))) -> ((op2 (e21) (e20)) = (e20)) -> (~((e20) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e20) (e21)) = (e20)) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> (~((h3 (op1 (e10) (e10))) = (op2 (h3 (e10)) (h3 (e10))))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e12)) = (op1 (e12) (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) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e12)) = (e10))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((e12) = (e13))) -> (~((op1 (e13) (e10)) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((e11) = (e13))) -> False).
% 42.98/43.19 do 0 intro. intros zenon_H142 zenon_Hac zenon_Hbd zenon_Hca zenon_He8 zenon_Ha3 zenon_H9c zenon_H33 zenon_H99 zenon_H80 zenon_H93 zenon_Ha2 zenon_H85 zenon_H7e zenon_H10c zenon_H60 zenon_Hb2 zenon_H7b zenon_H2c zenon_H2b zenon_H30 zenon_H2f zenon_H42 zenon_H47 zenon_H78 zenon_H4f zenon_H56 zenon_H6a zenon_H66 zenon_H6f zenon_H5f zenon_H6e zenon_H73 zenon_H21 zenon_H10d zenon_Haf zenon_H109 zenon_Hf6 zenon_Hf9 zenon_Ha8 zenon_H11a zenon_H123 zenon_H105 zenon_H133 zenon_H126 zenon_He0 zenon_H48 zenon_H57 zenon_Hc4 zenon_Hc1.
% 42.98/43.19 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H26 | zenon_intro zenon_H143 ].
% 42.98/43.19 apply (zenon_L8_); trivial.
% 42.98/43.19 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H144 ].
% 42.98/43.19 apply (zenon_L32_); trivial.
% 42.98/43.19 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H145 ].
% 42.98/43.19 apply (zenon_L34_); trivial.
% 42.98/43.19 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H146 ].
% 42.98/43.19 apply (zenon_L36_); trivial.
% 42.98/43.19 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hcd | zenon_intro zenon_H147 ].
% 42.98/43.19 apply (zenon_L42_); trivial.
% 42.98/43.19 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H148 ].
% 42.98/43.19 apply (zenon_L45_); trivial.
% 42.98/43.19 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_Hde | zenon_intro zenon_H149 ].
% 42.98/43.19 apply (zenon_L46_); trivial.
% 42.98/43.19 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_He6 | zenon_intro zenon_H14a ].
% 42.98/43.19 apply (zenon_L48_); trivial.
% 42.98/43.19 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Heb | zenon_intro zenon_H14b ].
% 42.98/43.19 apply (zenon_L51_); trivial.
% 42.98/43.19 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H112 | zenon_intro zenon_H14c ].
% 42.98/43.19 apply (zenon_L59_); trivial.
% 42.98/43.19 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H11d | zenon_intro zenon_H14d ].
% 42.98/43.19 apply (zenon_L61_); trivial.
% 42.98/43.19 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H11f | zenon_intro zenon_H14e ].
% 42.98/43.19 apply (zenon_L62_); trivial.
% 42.98/43.19 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H122 | zenon_intro zenon_H14f ].
% 42.98/43.19 apply (zenon_L63_); trivial.
% 42.98/43.19 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H132 | zenon_intro zenon_H150 ].
% 42.98/43.19 apply (zenon_L66_); trivial.
% 42.98/43.19 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H13b | zenon_intro zenon_H140 ].
% 42.98/43.19 apply (zenon_L67_); trivial.
% 42.98/43.19 apply (zenon_L70_); trivial.
% 42.98/43.19 (* end of lemma zenon_L71_ *)
% 42.98/43.19 assert (zenon_L72_ : ((op1 (e11) (e11)) = (e10)) -> ((op1 (e10) (e11)) = (e10)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> False).
% 42.98/43.19 do 0 intro. intros zenon_H151 zenon_H40 zenon_H152.
% 42.98/43.19 elim (classic ((op1 (e11) (e11)) = (op1 (e11) (e11)))); [ zenon_intro zenon_H153 | zenon_intro zenon_H154 ].
% 42.98/43.19 cut (((op1 (e11) (e11)) = (op1 (e11) (e11))) = ((op1 (e10) (e11)) = (op1 (e11) (e11)))).
% 42.98/43.19 intro zenon_D_pnotp.
% 42.98/43.19 apply zenon_H152.
% 42.98/43.19 rewrite <- zenon_D_pnotp.
% 42.98/43.19 exact zenon_H153.
% 42.98/43.19 cut (((op1 (e11) (e11)) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H154].
% 42.98/43.19 cut (((op1 (e11) (e11)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H155].
% 42.98/43.19 congruence.
% 42.98/43.19 cut (((op1 (e11) (e11)) = (e10)) = ((op1 (e11) (e11)) = (op1 (e10) (e11)))).
% 42.98/43.19 intro zenon_D_pnotp.
% 42.98/43.19 apply zenon_H155.
% 42.98/43.19 rewrite <- zenon_D_pnotp.
% 42.98/43.19 exact zenon_H151.
% 42.98/43.19 cut (((e10) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H156].
% 42.98/43.19 cut (((op1 (e11) (e11)) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H154].
% 42.98/43.19 congruence.
% 42.98/43.19 apply zenon_H154. apply refl_equal.
% 42.98/43.19 apply zenon_H156. apply sym_equal. exact zenon_H40.
% 42.98/43.19 apply zenon_H154. apply refl_equal.
% 42.98/43.19 apply zenon_H154. apply refl_equal.
% 42.98/43.19 (* end of lemma zenon_L72_ *)
% 42.98/43.19 assert (zenon_L73_ : (((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13)))))))) -> ((op1 (e11) (e11)) = (e10)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> False).
% 42.98/43.19 do 0 intro. intros zenon_Ha7 zenon_H151 zenon_H152.
% 42.98/43.19 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H40. zenon_intro zenon_Ha9.
% 42.98/43.19 apply (zenon_L72_); trivial.
% 42.98/43.19 (* end of lemma zenon_L73_ *)
% 42.98/43.19 assert (zenon_L74_ : (~((op1 (e11) (op1 (e11) (e10))) = (e10))) -> ((op1 (e11) (e11)) = (e10)) -> ((op1 (e11) (e10)) = (e11)) -> False).
% 42.98/43.19 do 0 intro. intros zenon_Hd8 zenon_H151 zenon_Hcf.
% 42.98/43.19 cut (((op1 (e11) (e11)) = (e10)) = ((op1 (e11) (op1 (e11) (e10))) = (e10))).
% 42.98/43.19 intro zenon_D_pnotp.
% 42.98/43.19 apply zenon_Hd8.
% 42.98/43.19 rewrite <- zenon_D_pnotp.
% 42.98/43.19 exact zenon_H151.
% 42.98/43.19 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H1e].
% 42.98/43.19 cut (((op1 (e11) (e11)) = (op1 (e11) (op1 (e11) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H157].
% 42.98/43.19 congruence.
% 42.98/43.19 elim (classic ((op1 (e11) (op1 (e11) (e10))) = (op1 (e11) (op1 (e11) (e10))))); [ zenon_intro zenon_H158 | zenon_intro zenon_H159 ].
% 42.98/43.19 cut (((op1 (e11) (op1 (e11) (e10))) = (op1 (e11) (op1 (e11) (e10)))) = ((op1 (e11) (e11)) = (op1 (e11) (op1 (e11) (e10))))).
% 42.98/43.19 intro zenon_D_pnotp.
% 42.98/43.19 apply zenon_H157.
% 42.98/43.19 rewrite <- zenon_D_pnotp.
% 42.98/43.19 exact zenon_H158.
% 42.98/43.19 cut (((op1 (e11) (op1 (e11) (e10))) = (op1 (e11) (op1 (e11) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H159].
% 42.98/43.19 cut (((op1 (e11) (op1 (e11) (e10))) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H15a].
% 42.98/43.19 congruence.
% 42.98/43.19 cut (((op1 (e11) (e10)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H15b].
% 42.98/43.19 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_Hd1].
% 42.98/43.19 congruence.
% 42.98/43.19 apply zenon_Hd1. apply refl_equal.
% 42.98/43.19 exact (zenon_H15b zenon_Hcf).
% 42.98/43.19 apply zenon_H159. apply refl_equal.
% 42.98/43.19 apply zenon_H159. apply refl_equal.
% 42.98/43.19 apply zenon_H1e. apply refl_equal.
% 42.98/43.19 (* end of lemma zenon_L74_ *)
% 42.98/43.19 assert (zenon_L75_ : (((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13)))))))) -> ((op1 (e11) (e11)) = (e10)) -> False).
% 42.98/43.19 do 0 intro. intros zenon_Hcd zenon_H151.
% 42.98/43.19 apply (zenon_and_s _ _ zenon_Hcd). zenon_intro zenon_Hcf. zenon_intro zenon_Hce.
% 42.98/43.19 apply (zenon_and_s _ _ zenon_Hce). zenon_intro zenon_Hbc. zenon_intro zenon_Hd0.
% 42.98/43.19 apply (zenon_and_s _ _ zenon_Hd0). zenon_intro zenon_Hd8. zenon_intro zenon_Hd7.
% 42.98/43.19 apply (zenon_L74_); trivial.
% 42.98/43.19 (* end of lemma zenon_L75_ *)
% 42.98/43.19 assert (zenon_L76_ : ((op1 (e11) (e11)) = (e10)) -> ((op1 (e11) (e11)) = (e11)) -> (~((e10) = (e11))) -> False).
% 42.98/43.19 do 0 intro. intros zenon_H151 zenon_Hd3 zenon_H15c.
% 42.98/43.19 elim (classic ((e11) = (e11))); [ zenon_intro zenon_H15d | zenon_intro zenon_Hd1 ].
% 42.98/43.19 cut (((e11) = (e11)) = ((e10) = (e11))).
% 42.98/43.19 intro zenon_D_pnotp.
% 42.98/43.19 apply zenon_H15c.
% 42.98/43.19 rewrite <- zenon_D_pnotp.
% 42.98/43.19 exact zenon_H15d.
% 42.98/43.19 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_Hd1].
% 42.98/43.19 cut (((e11) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H15e].
% 42.98/43.19 congruence.
% 42.98/43.19 cut (((op1 (e11) (e11)) = (e10)) = ((e11) = (e10))).
% 42.98/43.19 intro zenon_D_pnotp.
% 42.98/43.19 apply zenon_H15e.
% 42.98/43.19 rewrite <- zenon_D_pnotp.
% 42.98/43.19 exact zenon_H151.
% 42.98/43.19 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H1e].
% 42.98/43.19 cut (((op1 (e11) (e11)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_Hd4].
% 42.98/43.19 congruence.
% 42.98/43.19 exact (zenon_Hd4 zenon_Hd3).
% 42.98/43.19 apply zenon_H1e. apply refl_equal.
% 42.98/43.19 apply zenon_Hd1. apply refl_equal.
% 42.98/43.19 apply zenon_Hd1. apply refl_equal.
% 42.98/43.19 (* end of lemma zenon_L76_ *)
% 42.98/43.19 assert (zenon_L77_ : (((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13)))))))) -> ((op1 (e11) (e11)) = (e10)) -> (~((e10) = (e11))) -> False).
% 42.98/43.19 do 0 intro. intros zenon_Hd5 zenon_H151 zenon_H15c.
% 42.98/43.19 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_Hd3. zenon_intro zenon_Hd6.
% 42.98/43.19 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_Hd3. zenon_intro zenon_Hd0.
% 42.98/43.19 apply (zenon_L76_); trivial.
% 42.98/43.19 (* end of lemma zenon_L77_ *)
% 42.98/43.19 assert (zenon_L78_ : ((op1 (e12) (e11)) = (e11)) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> False).
% 42.98/43.19 do 0 intro. intros zenon_H15f zenon_H160 zenon_H161.
% 42.98/43.19 elim (classic ((op1 (e12) (e11)) = (op1 (e12) (e11)))); [ zenon_intro zenon_H162 | zenon_intro zenon_H163 ].
% 42.98/43.19 cut (((op1 (e12) (e11)) = (op1 (e12) (e11))) = ((op1 (e12) (e10)) = (op1 (e12) (e11)))).
% 42.98/43.19 intro zenon_D_pnotp.
% 42.98/43.19 apply zenon_H161.
% 42.98/43.19 rewrite <- zenon_D_pnotp.
% 42.98/43.19 exact zenon_H162.
% 42.98/43.19 cut (((op1 (e12) (e11)) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H163].
% 42.98/43.19 cut (((op1 (e12) (e11)) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H164].
% 42.98/43.19 congruence.
% 42.98/43.19 cut (((op1 (e12) (e11)) = (e11)) = ((op1 (e12) (e11)) = (op1 (e12) (e10)))).
% 42.98/43.19 intro zenon_D_pnotp.
% 42.98/43.19 apply zenon_H164.
% 42.98/43.19 rewrite <- zenon_D_pnotp.
% 42.98/43.19 exact zenon_H15f.
% 42.98/43.19 cut (((e11) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H165].
% 42.98/43.19 cut (((op1 (e12) (e11)) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H163].
% 42.98/43.19 congruence.
% 42.98/43.19 apply zenon_H163. apply refl_equal.
% 42.98/43.19 apply zenon_H165. apply sym_equal. exact zenon_H160.
% 42.98/43.19 apply zenon_H163. apply refl_equal.
% 42.98/43.19 apply zenon_H163. apply refl_equal.
% 42.98/43.19 (* end of lemma zenon_L78_ *)
% 42.98/43.19 assert (zenon_L79_ : (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((op1 (e10) (e12)) = (e11)) -> (~((e10) = (e11))) -> ((op1 (e11) (e11)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> ((e13) = (op1 (e12) (e12))) -> False).
% 42.98/43.19 do 0 intro. intros zenon_H166 zenon_Hbd zenon_Hbb zenon_H15c zenon_H151 zenon_H161 zenon_H160 zenon_He0 zenon_H57 zenon_H48.
% 42.98/43.19 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_Hbc | zenon_intro zenon_H167 ].
% 42.98/43.19 apply (zenon_L37_); trivial.
% 42.98/43.19 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H168 ].
% 42.98/43.19 apply (zenon_L76_); trivial.
% 42.98/43.19 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H15f | zenon_intro zenon_He1 ].
% 42.98/43.19 apply (zenon_L78_); trivial.
% 42.98/43.19 apply (zenon_L47_); trivial.
% 42.98/43.19 (* end of lemma zenon_L79_ *)
% 42.98/43.19 assert (zenon_L80_ : (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((op1 (e11) (e11)) = (e10)) -> (~((e10) = (e11))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((e11) = (e13))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> ((e13) = (op1 (e12) (e12))) -> False).
% 42.98/43.19 do 0 intro. intros zenon_Hca zenon_He0 zenon_H160 zenon_H161 zenon_H151 zenon_H15c zenon_Hbd zenon_H166 zenon_H6f zenon_Hc1 zenon_Hc4 zenon_H57 zenon_H48.
% 42.98/43.19 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hcb ].
% 42.98/43.19 apply (zenon_L79_); trivial.
% 42.98/43.19 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H72 | zenon_intro zenon_Hcc ].
% 42.98/43.19 exact (zenon_H6f zenon_H72).
% 42.98/43.19 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc5 ].
% 42.98/43.19 apply (zenon_L39_); trivial.
% 42.98/43.19 apply (zenon_L40_); trivial.
% 42.98/43.19 (* end of lemma zenon_L80_ *)
% 42.98/43.19 assert (zenon_L81_ : (~((e11) = (e12))) -> ((op1 (e12) (e11)) = (e12)) -> ((op1 (e12) (e11)) = (e11)) -> False).
% 42.98/43.19 do 0 intro. intros zenon_H169 zenon_H114 zenon_H15f.
% 42.98/43.19 cut (((op1 (e12) (e11)) = (e12)) = ((e11) = (e12))).
% 42.98/43.19 intro zenon_D_pnotp.
% 42.98/43.19 apply zenon_H169.
% 42.98/43.19 rewrite <- zenon_D_pnotp.
% 42.98/43.19 exact zenon_H114.
% 42.98/43.19 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H5d].
% 42.98/43.19 cut (((op1 (e12) (e11)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H16a].
% 42.98/43.19 congruence.
% 42.98/43.19 exact (zenon_H16a zenon_H15f).
% 42.98/43.19 apply zenon_H5d. apply refl_equal.
% 42.98/43.19 (* end of lemma zenon_L81_ *)
% 42.98/43.19 assert (zenon_L82_ : (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (e11))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((e10) = (e11))) -> ((op1 (e11) (e11)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> ((op1 (e12) (e11)) = (e12)) -> (~((e11) = (e12))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> ((e13) = (op1 (e12) (e12))) -> False).
% 42.98/43.19 do 0 intro. intros zenon_H16b zenon_Hc4 zenon_H6f zenon_H166 zenon_Hbd zenon_H15c zenon_H151 zenon_H161 zenon_He0 zenon_Hca zenon_H114 zenon_H169 zenon_Hc1 zenon_Hf9 zenon_H57 zenon_H48.
% 42.98/43.19 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H160 | zenon_intro zenon_H16c ].
% 42.98/43.19 apply (zenon_L80_); trivial.
% 42.98/43.19 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H15f | zenon_intro zenon_H16d ].
% 42.98/43.19 apply (zenon_L81_); trivial.
% 42.98/43.19 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hfa ].
% 42.98/43.19 apply (zenon_L39_); trivial.
% 42.98/43.19 apply (zenon_L54_); trivial.
% 42.98/43.19 (* end of lemma zenon_L82_ *)
% 42.98/43.19 assert (zenon_L83_ : ((op1 (e10) (e13)) = (e13)) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False).
% 42.98/43.19 do 0 intro. intros zenon_H74 zenon_H41 zenon_H16e.
% 42.98/43.19 elim (classic ((op1 (e10) (e13)) = (op1 (e10) (e13)))); [ zenon_intro zenon_H16f | zenon_intro zenon_H77 ].
% 42.98/43.19 cut (((op1 (e10) (e13)) = (op1 (e10) (e13))) = ((op1 (e10) (e11)) = (op1 (e10) (e13)))).
% 42.98/43.19 intro zenon_D_pnotp.
% 42.98/43.19 apply zenon_H16e.
% 42.98/43.19 rewrite <- zenon_D_pnotp.
% 42.98/43.19 exact zenon_H16f.
% 42.98/43.19 cut (((op1 (e10) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H77].
% 42.98/43.19 cut (((op1 (e10) (e13)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H170].
% 42.98/43.19 congruence.
% 42.98/43.19 cut (((op1 (e10) (e13)) = (e13)) = ((op1 (e10) (e13)) = (op1 (e10) (e11)))).
% 42.98/43.19 intro zenon_D_pnotp.
% 42.98/43.19 apply zenon_H170.
% 42.98/43.19 rewrite <- zenon_D_pnotp.
% 42.98/43.19 exact zenon_H74.
% 42.98/43.19 cut (((e13) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H171].
% 42.98/43.19 cut (((op1 (e10) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H77].
% 42.98/43.19 congruence.
% 42.98/43.19 apply zenon_H77. apply refl_equal.
% 42.98/43.19 apply zenon_H171. apply sym_equal. exact zenon_H41.
% 42.98/43.19 apply zenon_H77. apply refl_equal.
% 42.98/43.19 apply zenon_H77. apply refl_equal.
% 42.98/43.19 (* end of lemma zenon_L83_ *)
% 42.98/43.19 assert (zenon_L84_ : ((op1 (e11) (e11)) = (e10)) -> ((op1 (e11) (e11)) = (e13)) -> (~((e10) = (e13))) -> False).
% 42.98/43.19 do 0 intro. intros zenon_H151 zenon_H172 zenon_H42.
% 42.98/43.19 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H43 | zenon_intro zenon_H44 ].
% 42.98/43.19 cut (((e13) = (e13)) = ((e10) = (e13))).
% 42.98/43.19 intro zenon_D_pnotp.
% 42.98/43.19 apply zenon_H42.
% 42.98/43.19 rewrite <- zenon_D_pnotp.
% 42.98/43.19 exact zenon_H43.
% 42.98/43.19 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H44].
% 42.98/43.19 cut (((e13) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H45].
% 42.98/43.19 congruence.
% 42.98/43.19 cut (((op1 (e11) (e11)) = (e10)) = ((e13) = (e10))).
% 42.98/43.19 intro zenon_D_pnotp.
% 42.98/43.19 apply zenon_H45.
% 42.98/43.19 rewrite <- zenon_D_pnotp.
% 42.98/43.19 exact zenon_H151.
% 42.98/43.19 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H1e].
% 42.98/43.19 cut (((op1 (e11) (e11)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H173].
% 42.98/43.19 congruence.
% 42.98/43.19 exact (zenon_H173 zenon_H172).
% 42.98/43.19 apply zenon_H1e. apply refl_equal.
% 42.98/43.19 apply zenon_H44. apply refl_equal.
% 42.98/43.19 apply zenon_H44. apply refl_equal.
% 42.98/43.19 (* end of lemma zenon_L84_ *)
% 42.98/43.19 assert (zenon_L85_ : (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((e13) = (op1 (e12) (e12))) -> ((op1 (e12) (e11)) = (e13)) -> False).
% 42.98/43.19 do 0 intro. intros zenon_H174 zenon_H48 zenon_H175.
% 42.98/43.19 cut (((e13) = (op1 (e12) (e12))) = ((op1 (e12) (e11)) = (op1 (e12) (e12)))).
% 42.98/43.19 intro zenon_D_pnotp.
% 42.98/43.19 apply zenon_H174.
% 42.98/43.19 rewrite <- zenon_D_pnotp.
% 42.98/43.19 exact zenon_H48.
% 42.98/43.19 cut (((op1 (e12) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H4a].
% 42.98/43.19 cut (((e13) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H176].
% 42.98/43.19 congruence.
% 42.98/43.19 elim (classic ((op1 (e12) (e11)) = (op1 (e12) (e11)))); [ zenon_intro zenon_H162 | zenon_intro zenon_H163 ].
% 42.98/43.19 cut (((op1 (e12) (e11)) = (op1 (e12) (e11))) = ((e13) = (op1 (e12) (e11)))).
% 42.98/43.19 intro zenon_D_pnotp.
% 42.98/43.19 apply zenon_H176.
% 42.98/43.19 rewrite <- zenon_D_pnotp.
% 42.98/43.19 exact zenon_H162.
% 42.98/43.19 cut (((op1 (e12) (e11)) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H163].
% 42.98/43.19 cut (((op1 (e12) (e11)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H177].
% 42.98/43.19 congruence.
% 42.98/43.19 exact (zenon_H177 zenon_H175).
% 42.98/43.19 apply zenon_H163. apply refl_equal.
% 42.98/43.19 apply zenon_H163. apply refl_equal.
% 42.98/43.19 apply zenon_H4a. apply refl_equal.
% 42.98/43.19 (* end of lemma zenon_L85_ *)
% 42.98/43.19 assert (zenon_L86_ : (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((op1 (e10) (e13)) = (e13)) -> (~((e10) = (e13))) -> ((op1 (e11) (e11)) = (e10)) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (op1 (e13) (e11))) = (e11))) -> ((op1 (e13) (e13)) = (e11)) -> False).
% 42.98/43.19 do 0 intro. intros zenon_H178 zenon_H16e zenon_H74 zenon_H42 zenon_H151 zenon_H48 zenon_H174 zenon_H12a zenon_H12b.
% 42.98/43.19 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H41 | zenon_intro zenon_H179 ].
% 42.98/43.19 apply (zenon_L83_); trivial.
% 42.98/43.19 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_H172 | zenon_intro zenon_H17a ].
% 42.98/43.19 apply (zenon_L84_); trivial.
% 42.98/43.19 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H175 | zenon_intro zenon_H12c ].
% 42.98/43.19 apply (zenon_L85_); trivial.
% 42.98/43.19 apply (zenon_L65_); trivial.
% 42.98/43.19 (* end of lemma zenon_L86_ *)
% 42.98/43.19 assert (zenon_L87_ : (((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13)))))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((e10) = (e13))) -> ((op1 (e11) (e11)) = (e10)) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (e13) (e13)) = (e11)) -> False).
% 42.98/43.19 do 0 intro. intros zenon_H122 zenon_H178 zenon_H16e zenon_H42 zenon_H151 zenon_H48 zenon_H174 zenon_H12b.
% 42.98/43.19 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H125. zenon_intro zenon_H124.
% 42.98/43.19 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_H74. zenon_intro zenon_H135.
% 42.98/43.19 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H137. zenon_intro zenon_H136.
% 42.98/43.19 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_H12a. zenon_intro zenon_H138.
% 42.98/43.19 apply (zenon_L86_); trivial.
% 42.98/43.19 (* end of lemma zenon_L87_ *)
% 42.98/43.19 assert (zenon_L88_ : (((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13)))))))) -> ((op1 (e13) (e13)) = (e11)) -> False).
% 42.98/43.19 do 0 intro. intros zenon_H132 zenon_H12b.
% 42.98/43.19 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H12c. zenon_intro zenon_H134.
% 42.98/43.19 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H75. zenon_intro zenon_H135.
% 42.98/43.19 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H137. zenon_intro zenon_H136.
% 42.98/43.19 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_H12a. zenon_intro zenon_H138.
% 42.98/43.19 apply (zenon_L65_); trivial.
% 42.98/43.19 (* end of lemma zenon_L88_ *)
% 42.98/43.19 assert (zenon_L89_ : (((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13)))))))) -> ((op1 (e13) (e13)) = (e11)) -> (~((e11) = (e13))) -> False).
% 42.98/43.19 do 0 intro. intros zenon_H140 zenon_H12b zenon_Hc1.
% 42.98/43.19 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H13e. zenon_intro zenon_H141.
% 42.98/43.19 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H13e. zenon_intro zenon_H135.
% 42.98/43.19 apply (zenon_L68_); trivial.
% 42.98/43.19 (* end of lemma zenon_L89_ *)
% 42.98/43.19 assert (zenon_L90_ : ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))))))))))))))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((e11) = (e12))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((e10) = (e11))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((e12) = (e13))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (e11) (e11)) = (e10)) -> (~((e10) = (e13))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> ((op1 (e13) (e13)) = (e11)) -> (~((e11) = (e13))) -> False).
% 42.98/43.19 do 0 intro. intros zenon_H142 zenon_H152 zenon_Hac zenon_Hb2 zenon_H6a zenon_He8 zenon_H5f zenon_H60 zenon_H6e zenon_H57 zenon_Hf9 zenon_H169 zenon_Hca zenon_He0 zenon_H161 zenon_H15c zenon_Hbd zenon_H166 zenon_H6f zenon_Hc4 zenon_H16b zenon_H11a zenon_H174 zenon_H151 zenon_H42 zenon_H16e zenon_H178 zenon_H105 zenon_H48 zenon_H12b zenon_Hc1.
% 42.98/43.19 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H26 | zenon_intro zenon_H143 ].
% 42.98/43.19 apply (zenon_L8_); trivial.
% 42.98/43.19 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H144 ].
% 42.98/43.19 apply (zenon_L73_); trivial.
% 42.98/43.19 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H145 ].
% 42.98/43.19 apply (zenon_L34_); trivial.
% 42.98/43.19 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H146 ].
% 42.98/43.19 apply (zenon_L36_); trivial.
% 42.98/43.19 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hcd | zenon_intro zenon_H147 ].
% 42.98/43.19 apply (zenon_L75_); trivial.
% 42.98/43.19 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H148 ].
% 42.98/43.19 apply (zenon_L77_); trivial.
% 42.98/43.19 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_Hde | zenon_intro zenon_H149 ].
% 42.98/43.19 apply (zenon_L46_); trivial.
% 42.98/43.19 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_He6 | zenon_intro zenon_H14a ].
% 42.98/43.19 apply (zenon_L48_); trivial.
% 42.98/43.19 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Heb | zenon_intro zenon_H14b ].
% 42.98/43.19 apply (zenon_L51_); trivial.
% 42.98/43.19 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H112 | zenon_intro zenon_H14c ].
% 42.98/43.19 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H114. zenon_intro zenon_H113.
% 42.98/43.19 apply (zenon_L82_); trivial.
% 42.98/43.19 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H11d | zenon_intro zenon_H14d ].
% 42.98/43.19 apply (zenon_L61_); trivial.
% 42.98/43.19 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H11f | zenon_intro zenon_H14e ].
% 42.98/43.19 apply (zenon_L62_); trivial.
% 42.98/43.19 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H122 | zenon_intro zenon_H14f ].
% 42.98/43.19 apply (zenon_L87_); trivial.
% 42.98/43.19 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H132 | zenon_intro zenon_H150 ].
% 42.98/43.19 apply (zenon_L88_); trivial.
% 42.98/43.19 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H13b | zenon_intro zenon_H140 ].
% 42.98/43.19 apply (zenon_L67_); trivial.
% 42.98/43.19 apply (zenon_L89_); trivial.
% 42.98/43.19 (* end of lemma zenon_L90_ *)
% 42.98/43.19 assert (zenon_L91_ : (~((e10) = (e12))) -> ((op1 (e10) (e10)) = (e12)) -> ((op1 (e10) (e10)) = (e10)) -> False).
% 42.98/43.19 do 0 intro. intros zenon_H17b zenon_H17c zenon_H20.
% 42.98/43.19 cut (((op1 (e10) (e10)) = (e12)) = ((e10) = (e12))).
% 42.98/43.19 intro zenon_D_pnotp.
% 42.98/43.19 apply zenon_H17b.
% 42.98/43.19 rewrite <- zenon_D_pnotp.
% 42.98/43.19 exact zenon_H17c.
% 42.98/43.19 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H5d].
% 42.98/43.19 cut (((op1 (e10) (e10)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H21].
% 42.98/43.19 congruence.
% 42.98/43.19 exact (zenon_H21 zenon_H20).
% 42.98/43.19 apply zenon_H5d. apply refl_equal.
% 42.98/43.19 (* end of lemma zenon_L91_ *)
% 42.98/43.19 assert (zenon_L92_ : (~((e11) = (e12))) -> ((op1 (e10) (e10)) = (e12)) -> ((op1 (e10) (e10)) = (e11)) -> False).
% 42.98/43.19 do 0 intro. intros zenon_H169 zenon_H17c zenon_H17d.
% 42.98/43.19 cut (((op1 (e10) (e10)) = (e12)) = ((e11) = (e12))).
% 42.98/43.19 intro zenon_D_pnotp.
% 42.98/43.19 apply zenon_H169.
% 42.98/43.19 rewrite <- zenon_D_pnotp.
% 42.98/43.19 exact zenon_H17c.
% 42.98/43.19 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H5d].
% 42.98/43.19 cut (((op1 (e10) (e10)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H17e].
% 42.98/43.19 congruence.
% 42.98/43.19 exact (zenon_H17e zenon_H17d).
% 42.98/43.19 apply zenon_H5d. apply refl_equal.
% 42.98/43.19 (* end of lemma zenon_L92_ *)
% 42.98/43.19 assert (zenon_L93_ : (((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13)))))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e10) (e10)) = (e12)) -> False).
% 42.98/43.19 do 0 intro. intros zenon_Heb zenon_H17f zenon_H17c.
% 42.98/43.19 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_Hed. zenon_intro zenon_Hec.
% 42.98/43.19 cut (((op1 (e10) (e10)) = (e12)) = ((op1 (e10) (e10)) = (op1 (e12) (e10)))).
% 42.98/43.19 intro zenon_D_pnotp.
% 42.98/43.19 apply zenon_H17f.
% 42.98/43.19 rewrite <- zenon_D_pnotp.
% 42.98/43.19 exact zenon_H17c.
% 42.98/43.19 cut (((e12) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H180].
% 42.98/43.19 cut (((op1 (e10) (e10)) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H181].
% 42.98/43.19 congruence.
% 42.98/43.19 apply zenon_H181. apply refl_equal.
% 42.98/43.19 apply zenon_H180. apply sym_equal. exact zenon_Hed.
% 42.98/43.19 (* end of lemma zenon_L93_ *)
% 42.98/43.19 assert (zenon_L94_ : (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((op1 (e10) (e10)) = (e12)) -> ((op1 (e10) (e13)) = (e12)) -> False).
% 42.98/43.19 do 0 intro. intros zenon_H182 zenon_H17c zenon_H183.
% 42.98/43.19 cut (((op1 (e10) (e10)) = (e12)) = ((op1 (e10) (e10)) = (op1 (e10) (e13)))).
% 42.98/43.19 intro zenon_D_pnotp.
% 42.98/43.19 apply zenon_H182.
% 42.98/43.19 rewrite <- zenon_D_pnotp.
% 42.98/43.19 exact zenon_H17c.
% 42.98/43.19 cut (((e12) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H184].
% 42.98/43.19 cut (((op1 (e10) (e10)) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H181].
% 42.98/43.19 congruence.
% 42.98/43.19 apply zenon_H181. apply refl_equal.
% 42.98/43.19 apply zenon_H184. apply sym_equal. exact zenon_H183.
% 42.98/43.19 (* end of lemma zenon_L94_ *)
% 42.98/43.19 assert (zenon_L95_ : ((op1 (e13) (e13)) = (e11)) -> ((op1 (e13) (e13)) = (e12)) -> (~((e11) = (e12))) -> False).
% 42.98/43.19 do 0 intro. intros zenon_H12b zenon_H185 zenon_H169.
% 42.98/43.19 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H186 | zenon_intro zenon_H5d ].
% 42.98/43.19 cut (((e12) = (e12)) = ((e11) = (e12))).
% 42.98/43.19 intro zenon_D_pnotp.
% 42.98/43.19 apply zenon_H169.
% 42.98/43.19 rewrite <- zenon_D_pnotp.
% 42.98/43.19 exact zenon_H186.
% 42.98/43.19 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H5d].
% 42.98/43.19 cut (((e12) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H187].
% 42.98/43.19 congruence.
% 42.98/43.19 cut (((op1 (e13) (e13)) = (e11)) = ((e12) = (e11))).
% 42.98/43.19 intro zenon_D_pnotp.
% 42.98/43.19 apply zenon_H187.
% 42.98/43.19 rewrite <- zenon_D_pnotp.
% 42.98/43.19 exact zenon_H12b.
% 42.98/43.19 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_Hd1].
% 42.98/43.19 cut (((op1 (e13) (e13)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H188].
% 42.98/43.19 congruence.
% 42.98/43.19 exact (zenon_H188 zenon_H185).
% 42.98/43.19 apply zenon_Hd1. apply refl_equal.
% 42.98/43.19 apply zenon_H5d. apply refl_equal.
% 42.98/43.19 apply zenon_H5d. apply refl_equal.
% 42.98/43.19 (* end of lemma zenon_L95_ *)
% 42.98/43.19 assert (zenon_L96_ : (((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13)))))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e10) (e10)) = (e12)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> ((op1 (e13) (e13)) = (e11)) -> (~((e11) = (e12))) -> False).
% 42.98/43.19 do 0 intro. intros zenon_H112 zenon_H189 zenon_H17c zenon_H182 zenon_H66 zenon_H48 zenon_H12b zenon_H169.
% 42.98/43.19 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H114. zenon_intro zenon_H113.
% 42.98/43.19 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_H67. zenon_intro zenon_Hee.
% 42.98/43.19 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_Hef. zenon_intro zenon_H115.
% 42.98/43.19 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_H117. zenon_intro zenon_H116.
% 42.98/43.19 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H118. zenon_intro zenon_H100.
% 42.98/43.19 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H183 | zenon_intro zenon_H18a ].
% 42.98/43.19 apply (zenon_L94_); trivial.
% 42.98/43.19 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H68 | zenon_intro zenon_H18b ].
% 42.98/43.19 apply (zenon_L19_); trivial.
% 42.98/43.19 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_Hff | zenon_intro zenon_H185 ].
% 42.98/43.19 apply (zenon_L55_); trivial.
% 42.98/43.19 apply (zenon_L95_); trivial.
% 42.98/43.19 (* end of lemma zenon_L96_ *)
% 42.98/43.19 assert (zenon_L97_ : ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))))))))))))))))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((op1 (e10) (e10)) = (e12)) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (e11) (e11)) = (e10)) -> (~((e10) = (e13))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> ((op1 (e13) (e13)) = (e11)) -> (~((e11) = (e13))) -> False).
% 42.98/43.19 do 0 intro. intros zenon_H142 zenon_H17b zenon_H152 zenon_Hac zenon_H60 zenon_Hb2 zenon_H15c zenon_H126 zenon_H161 zenon_H18c zenon_H57 zenon_He0 zenon_H17f zenon_H169 zenon_H66 zenon_H182 zenon_H17c zenon_H189 zenon_H11a zenon_H174 zenon_H151 zenon_H42 zenon_H16e zenon_H178 zenon_H105 zenon_H48 zenon_H12b zenon_Hc1.
% 42.98/43.19 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H26 | zenon_intro zenon_H143 ].
% 42.98/43.19 apply (zenon_and_s _ _ zenon_H26). zenon_intro zenon_H20. zenon_intro zenon_H27.
% 42.98/43.19 apply (zenon_and_s _ _ zenon_H27). zenon_intro zenon_H20. zenon_intro zenon_H28.
% 42.98/43.19 apply (zenon_L91_); trivial.
% 42.98/43.19 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H144 ].
% 42.98/43.19 apply (zenon_L73_); trivial.
% 42.98/43.19 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H145 ].
% 42.98/43.19 apply (zenon_L34_); trivial.
% 42.98/43.19 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H146 ].
% 42.98/43.19 apply (zenon_L36_); trivial.
% 42.98/43.19 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hcd | zenon_intro zenon_H147 ].
% 42.98/43.19 apply (zenon_L75_); trivial.
% 42.98/43.19 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H148 ].
% 42.98/43.19 apply (zenon_L77_); trivial.
% 42.98/43.19 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_Hde | zenon_intro zenon_H149 ].
% 42.98/43.19 apply (zenon_and_s _ _ zenon_Hde). zenon_intro zenon_H72. zenon_intro zenon_Hdf.
% 42.98/43.19 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_H15f. zenon_intro zenon_Hd0.
% 42.98/43.19 apply (zenon_and_s _ _ zenon_Hd0). zenon_intro zenon_Hd8. zenon_intro zenon_Hd7.
% 42.98/43.19 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H17d | zenon_intro zenon_H18d ].
% 42.98/43.19 apply (zenon_L92_); trivial.
% 42.98/43.19 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_Hcf | zenon_intro zenon_H18e ].
% 42.98/43.19 apply (zenon_L74_); trivial.
% 42.98/43.19 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H160 | zenon_intro zenon_H127 ].
% 42.98/43.19 apply (zenon_L78_); trivial.
% 42.98/43.19 apply (zenon_L64_); trivial.
% 42.98/43.19 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_He6 | zenon_intro zenon_H14a ].
% 42.98/43.19 apply (zenon_L48_); trivial.
% 42.98/43.19 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Heb | zenon_intro zenon_H14b ].
% 42.98/43.19 apply (zenon_L93_); trivial.
% 42.98/43.19 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H112 | zenon_intro zenon_H14c ].
% 42.98/43.19 apply (zenon_L96_); trivial.
% 42.98/43.19 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H11d | zenon_intro zenon_H14d ].
% 42.98/43.19 apply (zenon_L61_); trivial.
% 42.98/43.19 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H11f | zenon_intro zenon_H14e ].
% 42.98/43.19 apply (zenon_L62_); trivial.
% 42.98/43.19 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H122 | zenon_intro zenon_H14f ].
% 42.98/43.19 apply (zenon_L87_); trivial.
% 42.98/43.19 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H132 | zenon_intro zenon_H150 ].
% 42.98/43.20 apply (zenon_L88_); trivial.
% 42.98/43.20 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H13b | zenon_intro zenon_H140 ].
% 42.98/43.20 apply (zenon_L67_); trivial.
% 42.98/43.20 apply (zenon_L89_); trivial.
% 42.98/43.20 (* end of lemma zenon_L97_ *)
% 42.98/43.20 assert (zenon_L98_ : ((op1 (e11) (e11)) = (e10)) -> ((op1 (e11) (e11)) = (e12)) -> (~((e10) = (e12))) -> False).
% 42.98/43.20 do 0 intro. intros zenon_H151 zenon_H18f zenon_H17b.
% 42.98/43.20 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H186 | zenon_intro zenon_H5d ].
% 42.98/43.20 cut (((e12) = (e12)) = ((e10) = (e12))).
% 42.98/43.20 intro zenon_D_pnotp.
% 42.98/43.20 apply zenon_H17b.
% 42.98/43.20 rewrite <- zenon_D_pnotp.
% 42.98/43.20 exact zenon_H186.
% 42.98/43.20 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H5d].
% 42.98/43.20 cut (((e12) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H190].
% 42.98/43.20 congruence.
% 42.98/43.20 cut (((op1 (e11) (e11)) = (e10)) = ((e12) = (e10))).
% 42.98/43.20 intro zenon_D_pnotp.
% 42.98/43.20 apply zenon_H190.
% 42.98/43.20 rewrite <- zenon_D_pnotp.
% 42.98/43.20 exact zenon_H151.
% 42.98/43.20 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H1e].
% 42.98/43.20 cut (((op1 (e11) (e11)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H191].
% 42.98/43.20 congruence.
% 42.98/43.20 exact (zenon_H191 zenon_H18f).
% 42.98/43.20 apply zenon_H1e. apply refl_equal.
% 42.98/43.20 apply zenon_H5d. apply refl_equal.
% 42.98/43.20 apply zenon_H5d. apply refl_equal.
% 42.98/43.20 (* end of lemma zenon_L98_ *)
% 42.98/43.20 assert (zenon_L99_ : ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((e10) = (e13))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))))))))))))))))) -> (~((e10) = (e12))) -> ((op1 (e11) (e11)) = (e10)) -> (~((e12) = (e13))) -> ((e13) = (op1 (e12) (e12))) -> ((op1 (e13) (e13)) = (e11)) -> (~((e11) = (e12))) -> False).
% 42.98/43.20 do 0 intro. intros zenon_H192 zenon_H16b zenon_Hc4 zenon_H166 zenon_Hbd zenon_Hca zenon_Hf9 zenon_H6e zenon_H5f zenon_He8 zenon_H6a zenon_Hc1 zenon_H105 zenon_H178 zenon_H16e zenon_H42 zenon_H174 zenon_H189 zenon_H182 zenon_H66 zenon_H17f zenon_He0 zenon_H57 zenon_H18c zenon_H161 zenon_H126 zenon_H15c zenon_Hb2 zenon_H60 zenon_Hac zenon_H152 zenon_H142 zenon_H17b zenon_H151 zenon_H11a zenon_H48 zenon_H12b zenon_H169.
% 42.98/43.20 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H6f | zenon_intro zenon_H193 ].
% 42.98/43.20 apply (zenon_L90_); trivial.
% 42.98/43.20 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H17c | zenon_intro zenon_H194 ].
% 42.98/43.20 apply (zenon_L97_); trivial.
% 42.98/43.20 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H18f | zenon_intro zenon_H195 ].
% 42.98/43.20 apply (zenon_L98_); trivial.
% 42.98/43.20 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H119 | zenon_intro zenon_H185 ].
% 42.98/43.20 apply (zenon_L60_); trivial.
% 42.98/43.20 apply (zenon_L95_); trivial.
% 42.98/43.20 (* end of lemma zenon_L99_ *)
% 42.98/43.20 assert (zenon_L100_ : (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((e10) = (e13))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))))))))))))))))) -> (~((e10) = (e12))) -> ((op1 (e11) (e11)) = (e10)) -> (~((e12) = (e13))) -> ((e13) = (op1 (e12) (e12))) -> (~((e11) = (e12))) -> False).
% 42.98/43.20 do 0 intro. intros zenon_H133 zenon_H192 zenon_H16b zenon_Hc4 zenon_H166 zenon_Hbd zenon_Hca zenon_Hf9 zenon_H6e zenon_H5f zenon_He8 zenon_H6a zenon_Hc1 zenon_H105 zenon_H178 zenon_H16e zenon_H42 zenon_H174 zenon_H189 zenon_H182 zenon_H66 zenon_H17f zenon_He0 zenon_H57 zenon_H18c zenon_H161 zenon_H126 zenon_H15c zenon_Hb2 zenon_H60 zenon_Hac zenon_H152 zenon_H142 zenon_H17b zenon_H151 zenon_H11a zenon_H48 zenon_H169.
% 42.98/43.20 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H127 | zenon_intro zenon_H139 ].
% 42.98/43.20 apply (zenon_L64_); trivial.
% 42.98/43.20 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_He1 | zenon_intro zenon_H13a ].
% 42.98/43.20 apply (zenon_L47_); trivial.
% 42.98/43.20 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H12b ].
% 42.98/43.20 apply (zenon_L40_); trivial.
% 42.98/43.20 apply (zenon_L99_); trivial.
% 42.98/43.20 (* end of lemma zenon_L100_ *)
% 42.98/43.20 assert (zenon_L101_ : ((e13) = (op1 (e12) (e12))) -> ((op1 (e12) (e12)) = (e10)) -> (~((e10) = (e13))) -> False).
% 42.98/43.20 do 0 intro. intros zenon_H48 zenon_H196 zenon_H42.
% 42.98/43.20 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H43 | zenon_intro zenon_H44 ].
% 42.98/43.20 cut (((e13) = (e13)) = ((e10) = (e13))).
% 42.98/43.20 intro zenon_D_pnotp.
% 42.98/43.20 apply zenon_H42.
% 42.98/43.20 rewrite <- zenon_D_pnotp.
% 42.98/43.20 exact zenon_H43.
% 42.98/43.20 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H44].
% 42.98/43.20 cut (((e13) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H45].
% 42.98/43.20 congruence.
% 42.98/43.20 cut (((e13) = (op1 (e12) (e12))) = ((e13) = (e10))).
% 42.98/43.20 intro zenon_D_pnotp.
% 42.98/43.20 apply zenon_H45.
% 42.98/43.20 rewrite <- zenon_D_pnotp.
% 42.98/43.20 exact zenon_H48.
% 42.98/43.20 cut (((op1 (e12) (e12)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H197].
% 42.98/43.20 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H44].
% 42.98/43.20 congruence.
% 42.98/43.20 apply zenon_H44. apply refl_equal.
% 42.98/43.20 exact (zenon_H197 zenon_H196).
% 42.98/43.20 apply zenon_H44. apply refl_equal.
% 42.98/43.20 apply zenon_H44. apply refl_equal.
% 42.98/43.20 (* end of lemma zenon_L101_ *)
% 42.98/43.20 assert (zenon_L102_ : ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> ((op1 (e13) (e13)) = (e10)) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> False).
% 42.98/43.20 do 0 intro. intros zenon_H60 zenon_H198 zenon_H48 zenon_Hc4.
% 42.98/43.20 elim (classic ((op1 (e13) (e13)) = (op1 (e13) (e13)))); [ zenon_intro zenon_H199 | zenon_intro zenon_H19a ].
% 42.98/43.20 cut (((op1 (e13) (e13)) = (op1 (e13) (e13))) = ((op1 (e13) (e12)) = (op1 (e13) (e13)))).
% 42.98/43.20 intro zenon_D_pnotp.
% 42.98/43.20 apply zenon_Hc4.
% 42.98/43.20 rewrite <- zenon_D_pnotp.
% 42.98/43.20 exact zenon_H199.
% 42.98/43.20 cut (((op1 (e13) (e13)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H19a].
% 42.98/43.20 cut (((op1 (e13) (e13)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H19b].
% 42.98/43.20 congruence.
% 42.98/43.20 cut (((e10) = (op1 (op1 (e12) (e12)) (e12))) = ((op1 (e13) (e13)) = (op1 (e13) (e12)))).
% 42.98/43.20 intro zenon_D_pnotp.
% 42.98/43.20 apply zenon_H19b.
% 42.98/43.20 rewrite <- zenon_D_pnotp.
% 42.98/43.20 exact zenon_H60.
% 42.98/43.20 cut (((op1 (op1 (e12) (e12)) (e12)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H5e].
% 42.98/43.20 cut (((e10) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H19c].
% 42.98/43.20 congruence.
% 42.98/43.20 elim (classic ((op1 (e13) (e13)) = (op1 (e13) (e13)))); [ zenon_intro zenon_H199 | zenon_intro zenon_H19a ].
% 42.98/43.20 cut (((op1 (e13) (e13)) = (op1 (e13) (e13))) = ((e10) = (op1 (e13) (e13)))).
% 42.98/43.20 intro zenon_D_pnotp.
% 42.98/43.20 apply zenon_H19c.
% 42.98/43.20 rewrite <- zenon_D_pnotp.
% 42.98/43.20 exact zenon_H199.
% 42.98/43.20 cut (((op1 (e13) (e13)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H19a].
% 42.98/43.20 cut (((op1 (e13) (e13)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H19d].
% 42.98/43.20 congruence.
% 42.98/43.20 exact (zenon_H19d zenon_H198).
% 42.98/43.20 apply zenon_H19a. apply refl_equal.
% 42.98/43.20 apply zenon_H19a. apply refl_equal.
% 42.98/43.20 apply (zenon_L17_); trivial.
% 42.98/43.20 apply zenon_H19a. apply refl_equal.
% 42.98/43.20 apply zenon_H19a. apply refl_equal.
% 42.98/43.20 (* end of lemma zenon_L102_ *)
% 42.98/43.20 assert (zenon_L103_ : (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e13) = (op1 (e12) (e12))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e10)) = (e12)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (e13))) -> False).
% 42.98/43.20 do 0 intro. intros zenon_H19e zenon_H60 zenon_Hb2 zenon_H48 zenon_H57 zenon_H126 zenon_H17c zenon_H19f zenon_H123.
% 42.98/43.20 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H1a0 ].
% 42.98/43.20 apply (zenon_L35_); trivial.
% 42.98/43.20 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H127 | zenon_intro zenon_H1a1 ].
% 42.98/43.20 apply (zenon_L64_); trivial.
% 42.98/43.20 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H125 ].
% 42.98/43.20 cut (((op1 (e10) (e10)) = (e12)) = ((op1 (e10) (e10)) = (op1 (e13) (e10)))).
% 42.98/43.20 intro zenon_D_pnotp.
% 42.98/43.20 apply zenon_H19f.
% 42.98/43.20 rewrite <- zenon_D_pnotp.
% 42.98/43.20 exact zenon_H17c.
% 42.98/43.20 cut (((e12) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H1a3].
% 42.98/43.20 cut (((op1 (e10) (e10)) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H181].
% 42.98/43.20 congruence.
% 42.98/43.20 apply zenon_H181. apply refl_equal.
% 42.98/43.20 apply zenon_H1a3. apply sym_equal. exact zenon_H1a2.
% 42.98/43.20 exact (zenon_H123 zenon_H125).
% 42.98/43.20 (* end of lemma zenon_L103_ *)
% 42.98/43.20 assert (zenon_L104_ : ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e10)) = (e12)) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (e10))) -> (~((e11) = (e12))) -> (~((e12) = (e13))) -> (~((e10) = (e12))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))))))))))))))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> False).
% 42.98/43.20 do 0 intro. intros zenon_H1a4 zenon_H19f zenon_H17c zenon_H19e zenon_H21 zenon_H169 zenon_H11a zenon_H17b zenon_H142 zenon_H152 zenon_Hac zenon_Hb2 zenon_H15c zenon_H126 zenon_H161 zenon_H18c zenon_H57 zenon_He0 zenon_H17f zenon_H66 zenon_H182 zenon_H189 zenon_H174 zenon_H16e zenon_H178 zenon_H105 zenon_Hc1 zenon_H6a zenon_He8 zenon_H5f zenon_H6e zenon_Hf9 zenon_Hca zenon_Hbd zenon_H166 zenon_H16b zenon_H192 zenon_H133 zenon_H42 zenon_H60 zenon_H48 zenon_Hc4.
% 42.98/43.20 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H123 | zenon_intro zenon_H1a5 ].
% 42.98/43.20 apply (zenon_L103_); trivial.
% 42.98/43.20 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H20 | zenon_intro zenon_H1a6 ].
% 42.98/43.20 exact (zenon_H21 zenon_H20).
% 42.98/43.20 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H151 | zenon_intro zenon_H1a7 ].
% 42.98/43.20 apply (zenon_L100_); trivial.
% 42.98/43.20 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H196 | zenon_intro zenon_H198 ].
% 42.98/43.20 apply (zenon_L101_); trivial.
% 42.98/43.20 apply (zenon_L102_); trivial.
% 42.98/43.20 (* end of lemma zenon_L104_ *)
% 42.98/43.20 assert (zenon_L105_ : (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (e10)) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> False).
% 42.98/43.20 do 0 intro. intros zenon_H1a8 zenon_H50 zenon_Hf0.
% 42.98/43.20 cut (((op1 (e11) (e10)) = (e10)) = ((op1 (e11) (e10)) = (op1 (e12) (e10)))).
% 42.98/43.20 intro zenon_D_pnotp.
% 42.98/43.20 apply zenon_H1a8.
% 42.98/43.20 rewrite <- zenon_D_pnotp.
% 42.98/43.20 exact zenon_H50.
% 42.98/43.20 cut (((e10) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H1a9].
% 42.98/43.20 cut (((op1 (e11) (e10)) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H53].
% 42.98/43.20 congruence.
% 42.98/43.20 apply zenon_H53. apply refl_equal.
% 42.98/43.20 apply zenon_H1a9. apply sym_equal. exact zenon_Hf0.
% 42.98/43.20 (* end of lemma zenon_L105_ *)
% 42.98/43.20 assert (zenon_L106_ : (~((e11) = (e12))) -> ((op1 (e11) (e11)) = (e12)) -> ((op1 (e11) (e11)) = (e11)) -> False).
% 42.98/43.20 do 0 intro. intros zenon_H169 zenon_H18f zenon_Hd3.
% 42.98/43.20 cut (((op1 (e11) (e11)) = (e12)) = ((e11) = (e12))).
% 42.98/43.20 intro zenon_D_pnotp.
% 42.98/43.20 apply zenon_H169.
% 42.98/43.20 rewrite <- zenon_D_pnotp.
% 42.98/43.20 exact zenon_H18f.
% 42.98/43.20 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H5d].
% 42.98/43.20 cut (((op1 (e11) (e11)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_Hd4].
% 42.98/43.20 congruence.
% 42.98/43.20 exact (zenon_Hd4 zenon_Hd3).
% 42.98/43.20 apply zenon_H5d. apply refl_equal.
% 42.98/43.20 (* end of lemma zenon_L106_ *)
% 42.98/43.20 assert (zenon_L107_ : (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((op1 (e10) (e12)) = (e11)) -> ((op1 (e11) (e11)) = (e12)) -> (~((e11) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> ((e13) = (op1 (e12) (e12))) -> False).
% 42.98/43.20 do 0 intro. intros zenon_H166 zenon_Hbd zenon_Hbb zenon_H18f zenon_H169 zenon_H161 zenon_H160 zenon_He0 zenon_H57 zenon_H48.
% 42.98/43.20 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_Hbc | zenon_intro zenon_H167 ].
% 42.98/43.20 apply (zenon_L37_); trivial.
% 42.98/43.20 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H168 ].
% 42.98/43.20 apply (zenon_L106_); trivial.
% 42.98/43.20 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H15f | zenon_intro zenon_He1 ].
% 42.98/43.20 apply (zenon_L78_); trivial.
% 42.98/43.20 apply (zenon_L47_); trivial.
% 42.98/43.20 (* end of lemma zenon_L107_ *)
% 42.98/43.20 assert (zenon_L108_ : (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((e13) = (op1 (e12) (e12))) -> ((op1 (e12) (e10)) = (e13)) -> False).
% 42.98/43.20 do 0 intro. intros zenon_H1aa zenon_H48 zenon_H1ab.
% 42.98/43.20 cut (((e13) = (op1 (e12) (e12))) = ((op1 (e12) (e10)) = (op1 (e12) (e12)))).
% 42.98/43.20 intro zenon_D_pnotp.
% 42.98/43.20 apply zenon_H1aa.
% 42.98/43.20 rewrite <- zenon_D_pnotp.
% 42.98/43.20 exact zenon_H48.
% 42.98/43.20 cut (((op1 (e12) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H4a].
% 42.98/43.20 cut (((e13) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H1ac].
% 42.98/43.20 congruence.
% 42.98/43.20 elim (classic ((op1 (e12) (e10)) = (op1 (e12) (e10)))); [ zenon_intro zenon_H1ad | zenon_intro zenon_H1ae ].
% 42.98/43.20 cut (((op1 (e12) (e10)) = (op1 (e12) (e10))) = ((e13) = (op1 (e12) (e10)))).
% 42.98/43.20 intro zenon_D_pnotp.
% 42.98/43.20 apply zenon_H1ac.
% 42.98/43.20 rewrite <- zenon_D_pnotp.
% 42.98/43.20 exact zenon_H1ad.
% 42.98/43.20 cut (((op1 (e12) (e10)) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H1ae].
% 42.98/43.20 cut (((op1 (e12) (e10)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H1af].
% 42.98/43.20 congruence.
% 42.98/43.20 exact (zenon_H1af zenon_H1ab).
% 42.98/43.20 apply zenon_H1ae. apply refl_equal.
% 42.98/43.20 apply zenon_H1ae. apply refl_equal.
% 42.98/43.20 apply zenon_H4a. apply refl_equal.
% 42.98/43.20 (* end of lemma zenon_L108_ *)
% 42.98/43.20 assert (zenon_L109_ : (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> ((op1 (e11) (e10)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((e11) = (e12))) -> ((op1 (e11) (e11)) = (e12)) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e12) (e10)) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((e13) = (op1 (e12) (e12))) -> False).
% 42.98/43.20 do 0 intro. intros zenon_H1b0 zenon_H50 zenon_H1a8 zenon_H57 zenon_He0 zenon_H161 zenon_H169 zenon_H18f zenon_Hbb zenon_Hbd zenon_H166 zenon_H1b1 zenon_H1aa zenon_H48.
% 42.98/43.20 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1b2 ].
% 42.98/43.20 apply (zenon_L105_); trivial.
% 42.98/43.20 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H160 | zenon_intro zenon_H1b3 ].
% 42.98/43.20 apply (zenon_L107_); trivial.
% 42.98/43.20 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_Hed | zenon_intro zenon_H1ab ].
% 42.98/43.20 exact (zenon_H1b1 zenon_Hed).
% 42.98/43.20 apply (zenon_L108_); trivial.
% 42.98/43.20 (* end of lemma zenon_L109_ *)
% 42.98/43.20 assert (zenon_L110_ : ((op1 (e11) (e10)) = (e10)) -> ((op1 (e11) (e10)) = (e13)) -> (~((e10) = (e13))) -> False).
% 42.98/43.20 do 0 intro. intros zenon_H50 zenon_H1b4 zenon_H42.
% 42.98/43.20 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H43 | zenon_intro zenon_H44 ].
% 42.98/43.20 cut (((e13) = (e13)) = ((e10) = (e13))).
% 42.98/43.20 intro zenon_D_pnotp.
% 42.98/43.20 apply zenon_H42.
% 42.98/43.20 rewrite <- zenon_D_pnotp.
% 42.98/43.20 exact zenon_H43.
% 42.98/43.20 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H44].
% 42.98/43.20 cut (((e13) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H45].
% 42.98/43.20 congruence.
% 42.98/43.20 cut (((op1 (e11) (e10)) = (e10)) = ((e13) = (e10))).
% 42.98/43.20 intro zenon_D_pnotp.
% 42.98/43.20 apply zenon_H45.
% 42.98/43.20 rewrite <- zenon_D_pnotp.
% 42.98/43.20 exact zenon_H50.
% 42.98/43.20 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H1e].
% 42.98/43.20 cut (((op1 (e11) (e10)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H1b5].
% 42.98/43.20 congruence.
% 42.98/43.20 exact (zenon_H1b5 zenon_H1b4).
% 42.98/43.20 apply zenon_H1e. apply refl_equal.
% 42.98/43.20 apply zenon_H44. apply refl_equal.
% 42.98/43.20 apply zenon_H44. apply refl_equal.
% 42.98/43.20 (* end of lemma zenon_L110_ *)
% 42.98/43.20 assert (zenon_L111_ : ((op1 (e11) (e11)) = (e12)) -> ((op1 (e11) (e11)) = (e13)) -> (~((e12) = (e13))) -> False).
% 42.98/43.20 do 0 intro. intros zenon_H18f zenon_H172 zenon_H11a.
% 42.98/43.20 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H43 | zenon_intro zenon_H44 ].
% 42.98/43.20 cut (((e13) = (e13)) = ((e12) = (e13))).
% 42.98/43.20 intro zenon_D_pnotp.
% 42.98/43.20 apply zenon_H11a.
% 42.98/43.20 rewrite <- zenon_D_pnotp.
% 42.98/43.20 exact zenon_H43.
% 42.98/43.20 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H44].
% 42.98/43.20 cut (((e13) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H11b].
% 42.98/43.20 congruence.
% 42.98/43.20 cut (((op1 (e11) (e11)) = (e12)) = ((e13) = (e12))).
% 42.98/43.20 intro zenon_D_pnotp.
% 42.98/43.20 apply zenon_H11b.
% 42.98/43.20 rewrite <- zenon_D_pnotp.
% 42.98/43.20 exact zenon_H18f.
% 42.98/43.20 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H5d].
% 42.98/43.20 cut (((op1 (e11) (e11)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H173].
% 42.98/43.20 congruence.
% 42.98/43.20 exact (zenon_H173 zenon_H172).
% 42.98/43.20 apply zenon_H5d. apply refl_equal.
% 42.98/43.20 apply zenon_H44. apply refl_equal.
% 42.98/43.20 apply zenon_H44. apply refl_equal.
% 42.98/43.20 (* end of lemma zenon_L111_ *)
% 42.98/43.20 assert (zenon_L112_ : (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e10) (e11)) = (e10)) -> ((op1 (e12) (e11)) = (e10)) -> False).
% 42.98/43.20 do 0 intro. intros zenon_H1b6 zenon_H40 zenon_H1b7.
% 42.98/43.20 cut (((op1 (e10) (e11)) = (e10)) = ((op1 (e10) (e11)) = (op1 (e12) (e11)))).
% 42.98/43.20 intro zenon_D_pnotp.
% 42.98/43.20 apply zenon_H1b6.
% 42.98/43.20 rewrite <- zenon_D_pnotp.
% 42.98/43.20 exact zenon_H40.
% 42.98/43.20 cut (((e10) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H1b8].
% 42.98/43.20 cut (((op1 (e10) (e11)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H1b9].
% 42.98/43.20 congruence.
% 42.98/43.20 apply zenon_H1b9. apply refl_equal.
% 42.98/43.20 apply zenon_H1b8. apply sym_equal. exact zenon_H1b7.
% 42.98/43.20 (* end of lemma zenon_L112_ *)
% 42.98/43.20 assert (zenon_L113_ : (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> ((op1 (e10) (e13)) = (e11)) -> ((e13) = (op1 (e12) (e12))) -> False).
% 42.98/43.20 do 0 intro. intros zenon_H1ba zenon_H57 zenon_H1bb zenon_H48.
% 42.98/43.20 cut (((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) = ((op1 (e10) (e13)) = (op1 (e13) (e13)))).
% 42.98/43.20 intro zenon_D_pnotp.
% 42.98/43.20 apply zenon_H1ba.
% 42.98/43.20 rewrite <- zenon_D_pnotp.
% 42.98/43.20 exact zenon_H57.
% 42.98/43.20 cut (((op1 (op1 (e12) (e12)) (op1 (e12) (e12))) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H54].
% 42.98/43.20 cut (((e11) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H1bc].
% 42.98/43.20 congruence.
% 42.98/43.20 elim (classic ((op1 (e10) (e13)) = (op1 (e10) (e13)))); [ zenon_intro zenon_H16f | zenon_intro zenon_H77 ].
% 42.98/43.20 cut (((op1 (e10) (e13)) = (op1 (e10) (e13))) = ((e11) = (op1 (e10) (e13)))).
% 42.98/43.20 intro zenon_D_pnotp.
% 42.98/43.20 apply zenon_H1bc.
% 42.98/43.20 rewrite <- zenon_D_pnotp.
% 42.98/43.20 exact zenon_H16f.
% 42.98/43.20 cut (((op1 (e10) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H77].
% 42.98/43.20 cut (((op1 (e10) (e13)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H1bd].
% 42.98/43.20 congruence.
% 42.98/43.20 exact (zenon_H1bd zenon_H1bb).
% 42.98/43.20 apply zenon_H77. apply refl_equal.
% 42.98/43.20 apply zenon_H77. apply refl_equal.
% 42.98/43.20 apply (zenon_L14_); trivial.
% 42.98/43.20 (* end of lemma zenon_L113_ *)
% 42.98/43.20 assert (zenon_L114_ : (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> ((op1 (e10) (e12)) = (e12)) -> ((op1 (e10) (e13)) = (e12)) -> False).
% 42.98/43.20 do 0 intro. intros zenon_H1be zenon_He9 zenon_H183.
% 42.98/43.20 cut (((op1 (e10) (e12)) = (e12)) = ((op1 (e10) (e12)) = (op1 (e10) (e13)))).
% 42.98/43.20 intro zenon_D_pnotp.
% 42.98/43.20 apply zenon_H1be.
% 42.98/43.20 rewrite <- zenon_D_pnotp.
% 42.98/43.20 exact zenon_He9.
% 42.98/43.20 cut (((e12) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H184].
% 42.98/43.20 cut (((op1 (e10) (e12)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H4d].
% 42.98/43.20 congruence.
% 42.98/43.20 apply zenon_H4d. apply refl_equal.
% 42.98/43.20 apply zenon_H184. apply sym_equal. exact zenon_H183.
% 42.98/43.20 (* end of lemma zenon_L114_ *)
% 42.98/43.20 assert (zenon_L115_ : (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> ((op1 (e12) (e13)) = (e10)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e12)) = (e12)) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e11) (e13)) = (e13)) -> False).
% 42.98/43.20 do 0 intro. intros zenon_H1bf zenon_Hf7 zenon_Hf6 zenon_H48 zenon_H57 zenon_H1ba zenon_He9 zenon_H1be zenon_H73 zenon_H75.
% 42.98/43.20 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_Hba | zenon_intro zenon_H1c0 ].
% 42.98/43.20 apply (zenon_L53_); trivial.
% 42.98/43.20 apply (zenon_or_s _ _ zenon_H1c0); [ zenon_intro zenon_H1bb | zenon_intro zenon_H1c1 ].
% 42.98/43.20 apply (zenon_L113_); trivial.
% 42.98/43.20 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H183 | zenon_intro zenon_H74 ].
% 42.98/43.20 apply (zenon_L114_); trivial.
% 42.98/43.20 apply (zenon_L22_); trivial.
% 42.98/43.20 (* end of lemma zenon_L115_ *)
% 42.98/43.20 assert (zenon_L116_ : (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((e12) = (e13))) -> ((op1 (e11) (e11)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> ((op1 (e11) (e10)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e10) (e11)) = (e10)) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((e10) = (e13))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e12)) = (e12)) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> False).
% 42.98/43.20 do 0 intro. intros zenon_H1c2 zenon_H11a zenon_H18f zenon_H6a zenon_H1c3 zenon_H50 zenon_H1a8 zenon_H40 zenon_H1b6 zenon_H42 zenon_H1bf zenon_Hf6 zenon_H48 zenon_H57 zenon_H1ba zenon_He9 zenon_H1be zenon_H73.
% 42.98/43.20 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_H1b4 | zenon_intro zenon_H1c4 ].
% 42.98/43.20 apply (zenon_L110_); trivial.
% 42.98/43.20 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_H172 | zenon_intro zenon_H1c5 ].
% 42.98/43.20 apply (zenon_L111_); trivial.
% 42.98/43.20 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H6b | zenon_intro zenon_H75 ].
% 42.98/43.20 apply (zenon_L20_); trivial.
% 42.98/43.20 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1c6 ].
% 42.98/43.20 apply (zenon_L105_); trivial.
% 42.98/43.20 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c7 ].
% 42.98/43.20 apply (zenon_L112_); trivial.
% 42.98/43.20 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H196 | zenon_intro zenon_Hf7 ].
% 42.98/43.20 apply (zenon_L101_); trivial.
% 42.98/43.20 apply (zenon_L115_); trivial.
% 42.98/43.20 (* end of lemma zenon_L116_ *)
% 42.98/43.20 assert (zenon_L117_ : (((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13)))))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (e12))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((e11) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (e11)) = (e12)) -> (~((e12) = (e13))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((e13) = (op1 (e12) (e12))) -> False).
% 42.98/43.20 do 0 intro. intros zenon_Ha7 zenon_H1c8 zenon_H60 zenon_Hac zenon_H1aa zenon_H1b1 zenon_H166 zenon_Hbd zenon_H169 zenon_H161 zenon_He0 zenon_H1b0 zenon_H73 zenon_H1be zenon_H1ba zenon_H57 zenon_Hf6 zenon_H1bf zenon_H42 zenon_H1b6 zenon_H1a8 zenon_H1c3 zenon_H6a zenon_H18f zenon_H11a zenon_H1c2 zenon_H47 zenon_H48.
% 42.98/43.20 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H40. zenon_intro zenon_Ha9.
% 42.98/43.20 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_H50. zenon_intro zenon_H28.
% 42.98/43.20 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_Had | zenon_intro zenon_H1c9 ].
% 42.98/43.20 apply (zenon_L33_); trivial.
% 42.98/43.20 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_Hbb | zenon_intro zenon_H1ca ].
% 42.98/43.20 apply (zenon_L109_); trivial.
% 42.98/43.20 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_He9 | zenon_intro zenon_H49 ].
% 42.98/43.20 apply (zenon_L116_); trivial.
% 42.98/43.20 apply (zenon_L12_); trivial.
% 42.98/43.20 (* end of lemma zenon_L117_ *)
% 42.98/43.20 assert (zenon_L118_ : (~((op1 (e11) (op1 (e11) (e12))) = (e12))) -> ((op1 (e11) (e11)) = (e12)) -> ((op1 (e11) (e12)) = (e11)) -> False).
% 42.98/43.20 do 0 intro. intros zenon_H1cb zenon_H18f zenon_H72.
% 42.98/43.20 cut (((op1 (e11) (e11)) = (e12)) = ((op1 (e11) (op1 (e11) (e12))) = (e12))).
% 42.98/43.20 intro zenon_D_pnotp.
% 42.98/43.20 apply zenon_H1cb.
% 42.98/43.20 rewrite <- zenon_D_pnotp.
% 42.98/43.20 exact zenon_H18f.
% 42.98/43.20 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H5d].
% 42.98/43.20 cut (((op1 (e11) (e11)) = (op1 (e11) (op1 (e11) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H1cc].
% 42.98/43.20 congruence.
% 42.98/43.20 elim (classic ((op1 (e11) (op1 (e11) (e12))) = (op1 (e11) (op1 (e11) (e12))))); [ zenon_intro zenon_H1cd | zenon_intro zenon_H1ce ].
% 42.98/43.20 cut (((op1 (e11) (op1 (e11) (e12))) = (op1 (e11) (op1 (e11) (e12)))) = ((op1 (e11) (e11)) = (op1 (e11) (op1 (e11) (e12))))).
% 42.98/43.20 intro zenon_D_pnotp.
% 42.98/43.20 apply zenon_H1cc.
% 42.98/43.20 rewrite <- zenon_D_pnotp.
% 42.98/43.20 exact zenon_H1cd.
% 42.98/43.20 cut (((op1 (e11) (op1 (e11) (e12))) = (op1 (e11) (op1 (e11) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H1ce].
% 42.98/43.20 cut (((op1 (e11) (op1 (e11) (e12))) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H1cf].
% 42.98/43.20 congruence.
% 42.98/43.20 cut (((op1 (e11) (e12)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H6f].
% 42.98/43.20 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_Hd1].
% 42.98/43.20 congruence.
% 42.98/43.20 apply zenon_Hd1. apply refl_equal.
% 42.98/43.20 exact (zenon_H6f zenon_H72).
% 42.98/43.20 apply zenon_H1ce. apply refl_equal.
% 42.98/43.20 apply zenon_H1ce. apply refl_equal.
% 42.98/43.20 apply zenon_H5d. apply refl_equal.
% 42.98/43.20 (* end of lemma zenon_L118_ *)
% 42.98/43.20 assert (zenon_L119_ : ((op1 (e12) (e11)) = (e11)) -> ((op1 (e10) (e11)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> False).
% 42.98/43.20 do 0 intro. intros zenon_H15f zenon_Hbc zenon_H1b6.
% 42.98/43.20 elim (classic ((op1 (e12) (e11)) = (op1 (e12) (e11)))); [ zenon_intro zenon_H162 | zenon_intro zenon_H163 ].
% 42.98/43.20 cut (((op1 (e12) (e11)) = (op1 (e12) (e11))) = ((op1 (e10) (e11)) = (op1 (e12) (e11)))).
% 42.98/43.20 intro zenon_D_pnotp.
% 42.98/43.20 apply zenon_H1b6.
% 42.98/43.20 rewrite <- zenon_D_pnotp.
% 42.98/43.20 exact zenon_H162.
% 42.98/43.20 cut (((op1 (e12) (e11)) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H163].
% 42.98/43.20 cut (((op1 (e12) (e11)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H1d0].
% 42.98/43.20 congruence.
% 42.98/43.20 cut (((op1 (e12) (e11)) = (e11)) = ((op1 (e12) (e11)) = (op1 (e10) (e11)))).
% 42.98/43.20 intro zenon_D_pnotp.
% 42.98/43.20 apply zenon_H1d0.
% 42.98/43.20 rewrite <- zenon_D_pnotp.
% 42.98/43.20 exact zenon_H15f.
% 42.98/43.20 cut (((e11) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_Hbf].
% 42.98/43.20 cut (((op1 (e12) (e11)) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H163].
% 42.98/43.20 congruence.
% 42.98/43.20 apply zenon_H163. apply refl_equal.
% 42.98/43.20 apply zenon_Hbf. apply sym_equal. exact zenon_Hbc.
% 42.98/43.20 apply zenon_H163. apply refl_equal.
% 42.98/43.20 apply zenon_H163. apply refl_equal.
% 42.98/43.20 (* end of lemma zenon_L119_ *)
% 42.98/43.20 assert (zenon_L120_ : (((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13)))))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e11)) = (e12)) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((e11) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> ((e13) = (op1 (e12) (e12))) -> False).
% 42.98/43.20 do 0 intro. intros zenon_Hcd zenon_H16b zenon_Hc4 zenon_H18f zenon_H166 zenon_Hbd zenon_H169 zenon_H161 zenon_He0 zenon_Hca zenon_H1b6 zenon_Hc1 zenon_Hf9 zenon_H57 zenon_H48.
% 42.98/43.20 apply (zenon_and_s _ _ zenon_Hcd). zenon_intro zenon_Hcf. zenon_intro zenon_Hce.
% 42.98/43.20 apply (zenon_and_s _ _ zenon_Hce). zenon_intro zenon_Hbc. zenon_intro zenon_Hd0.
% 42.98/43.20 apply (zenon_and_s _ _ zenon_Hd0). zenon_intro zenon_Hd8. zenon_intro zenon_Hd7.
% 42.98/43.20 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hda. zenon_intro zenon_Hd9.
% 42.98/43.20 apply (zenon_and_s _ _ zenon_Hd9). zenon_intro zenon_H1cb. zenon_intro zenon_H1d1.
% 42.98/43.20 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H160 | zenon_intro zenon_H16c ].
% 42.98/43.20 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hcb ].
% 42.98/43.20 apply (zenon_L107_); trivial.
% 42.98/43.20 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H72 | zenon_intro zenon_Hcc ].
% 42.98/43.20 apply (zenon_L118_); trivial.
% 42.98/43.20 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc5 ].
% 42.98/43.20 apply (zenon_L39_); trivial.
% 42.98/43.20 apply (zenon_L40_); trivial.
% 42.98/43.20 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H15f | zenon_intro zenon_H16d ].
% 42.98/43.20 apply (zenon_L119_); trivial.
% 42.98/43.20 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hfa ].
% 42.98/43.20 apply (zenon_L39_); trivial.
% 42.98/43.20 apply (zenon_L54_); trivial.
% 42.98/43.20 (* end of lemma zenon_L120_ *)
% 42.98/43.20 assert (zenon_L121_ : (((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13)))))))) -> (~((e11) = (e12))) -> ((op1 (e11) (e11)) = (e12)) -> False).
% 42.98/43.20 do 0 intro. intros zenon_Hd5 zenon_H169 zenon_H18f.
% 42.98/43.20 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_Hd3. zenon_intro zenon_Hd6.
% 42.98/43.20 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_Hd3. zenon_intro zenon_Hd0.
% 42.98/43.20 apply (zenon_L106_); trivial.
% 42.98/43.20 (* end of lemma zenon_L121_ *)
% 42.98/43.20 assert (zenon_L122_ : (((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13)))))))) -> ((op1 (e11) (e11)) = (e12)) -> False).
% 42.98/43.20 do 0 intro. intros zenon_Hde zenon_H18f.
% 42.98/43.20 apply (zenon_and_s _ _ zenon_Hde). zenon_intro zenon_H72. zenon_intro zenon_Hdf.
% 42.98/43.20 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_H15f. zenon_intro zenon_Hd0.
% 42.98/43.20 apply (zenon_and_s _ _ zenon_Hd0). zenon_intro zenon_Hd8. zenon_intro zenon_Hd7.
% 42.98/43.20 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hda. zenon_intro zenon_Hd9.
% 42.98/43.20 apply (zenon_and_s _ _ zenon_Hd9). zenon_intro zenon_H1cb. zenon_intro zenon_H1d1.
% 42.98/43.20 apply (zenon_L118_); trivial.
% 42.98/43.20 (* end of lemma zenon_L122_ *)
% 42.98/43.20 assert (zenon_L123_ : (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> ((op1 (e11) (e11)) = (e12)) -> ((op1 (e11) (e13)) = (e12)) -> False).
% 42.98/43.20 do 0 intro. intros zenon_H1d2 zenon_H18f zenon_H68.
% 42.98/43.20 cut (((op1 (e11) (e11)) = (e12)) = ((op1 (e11) (e11)) = (op1 (e11) (e13)))).
% 42.98/43.20 intro zenon_D_pnotp.
% 42.98/43.20 apply zenon_H1d2.
% 42.98/43.20 rewrite <- zenon_D_pnotp.
% 42.98/43.20 exact zenon_H18f.
% 42.98/43.20 cut (((e12) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H69].
% 42.98/43.20 cut (((op1 (e11) (e11)) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H154].
% 42.98/43.20 congruence.
% 42.98/43.20 apply zenon_H154. apply refl_equal.
% 42.98/43.20 apply zenon_H69. apply sym_equal. exact zenon_H68.
% 42.98/43.20 (* end of lemma zenon_L123_ *)
% 42.98/43.20 assert (zenon_L124_ : (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e10) (e12)) = (e12)) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> ((op1 (e11) (e11)) = (e12)) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (op1 (e12) (e13))) = (e13))) -> ((e13) = (op1 (e12) (e12))) -> ((op1 (e13) (e13)) = (e11)) -> (~((e11) = (e12))) -> False).
% 42.98/43.20 do 0 intro. intros zenon_H189 zenon_He9 zenon_H1be zenon_H18f zenon_H1d2 zenon_H100 zenon_H48 zenon_H12b zenon_H169.
% 42.98/43.20 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H183 | zenon_intro zenon_H18a ].
% 42.98/43.20 apply (zenon_L114_); trivial.
% 42.98/43.20 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H68 | zenon_intro zenon_H18b ].
% 42.98/43.20 apply (zenon_L123_); trivial.
% 42.98/43.20 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_Hff | zenon_intro zenon_H185 ].
% 42.98/43.20 apply (zenon_L55_); trivial.
% 42.98/43.20 apply (zenon_L95_); trivial.
% 42.98/43.20 (* end of lemma zenon_L124_ *)
% 42.98/43.20 assert (zenon_L125_ : (((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13)))))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> ((op1 (e11) (e11)) = (e12)) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> (~((e11) = (e12))) -> False).
% 42.98/43.20 do 0 intro. intros zenon_Heb zenon_H133 zenon_H126 zenon_He0 zenon_H57 zenon_Hc4 zenon_H189 zenon_H1be zenon_H18f zenon_H1d2 zenon_H48 zenon_H169.
% 42.98/43.20 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_Hed. zenon_intro zenon_Hec.
% 42.98/43.20 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_He9. zenon_intro zenon_Hee.
% 42.98/43.20 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_Hef. zenon_intro zenon_H115.
% 42.98/43.20 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_H117. zenon_intro zenon_H116.
% 42.98/43.20 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H118. zenon_intro zenon_H100.
% 42.98/43.20 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H127 | zenon_intro zenon_H139 ].
% 42.98/43.20 apply (zenon_L64_); trivial.
% 42.98/43.20 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_He1 | zenon_intro zenon_H13a ].
% 42.98/43.20 apply (zenon_L47_); trivial.
% 42.98/43.20 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H12b ].
% 42.98/43.20 apply (zenon_L40_); trivial.
% 42.98/43.20 apply (zenon_L124_); trivial.
% 42.98/43.20 (* end of lemma zenon_L125_ *)
% 42.98/43.20 assert (zenon_L126_ : (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e11) (e11)) = (e12)) -> ((op1 (e12) (e11)) = (e12)) -> False).
% 42.98/43.20 do 0 intro. intros zenon_H1d3 zenon_H18f zenon_H114.
% 42.98/43.20 cut (((op1 (e11) (e11)) = (e12)) = ((op1 (e11) (e11)) = (op1 (e12) (e11)))).
% 42.98/43.20 intro zenon_D_pnotp.
% 42.98/43.20 apply zenon_H1d3.
% 42.98/43.20 rewrite <- zenon_D_pnotp.
% 42.98/43.20 exact zenon_H18f.
% 42.98/43.20 cut (((e12) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H1d4].
% 42.98/43.20 cut (((op1 (e11) (e11)) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H154].
% 42.98/43.20 congruence.
% 42.98/43.20 apply zenon_H154. apply refl_equal.
% 42.98/43.20 apply zenon_H1d4. apply sym_equal. exact zenon_H114.
% 42.98/43.20 (* end of lemma zenon_L126_ *)
% 42.98/43.20 assert (zenon_L127_ : (((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13)))))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e11) (e11)) = (e12)) -> False).
% 42.98/43.20 do 0 intro. intros zenon_H112 zenon_H1d3 zenon_H18f.
% 42.98/43.20 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H114. zenon_intro zenon_H113.
% 42.98/43.20 apply (zenon_L126_); trivial.
% 42.98/43.20 (* end of lemma zenon_L127_ *)
% 42.98/43.20 assert (zenon_L128_ : ((op1 (e13) (e10)) = (e13)) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> False).
% 42.98/43.20 do 0 intro. intros zenon_H125 zenon_H1b4 zenon_H1d5.
% 42.98/43.20 elim (classic ((op1 (e13) (e10)) = (op1 (e13) (e10)))); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hb6 ].
% 42.98/43.20 cut (((op1 (e13) (e10)) = (op1 (e13) (e10))) = ((op1 (e11) (e10)) = (op1 (e13) (e10)))).
% 42.98/43.20 intro zenon_D_pnotp.
% 42.98/43.20 apply zenon_H1d5.
% 42.98/43.20 rewrite <- zenon_D_pnotp.
% 42.98/43.20 exact zenon_Hb5.
% 42.98/43.20 cut (((op1 (e13) (e10)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_Hb6].
% 42.98/43.20 cut (((op1 (e13) (e10)) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H1d6].
% 42.98/43.20 congruence.
% 42.98/43.20 cut (((op1 (e13) (e10)) = (e13)) = ((op1 (e13) (e10)) = (op1 (e11) (e10)))).
% 42.98/43.20 intro zenon_D_pnotp.
% 42.98/43.20 apply zenon_H1d6.
% 42.98/43.20 rewrite <- zenon_D_pnotp.
% 42.98/43.20 exact zenon_H125.
% 42.98/43.20 cut (((e13) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H1d7].
% 42.98/43.20 cut (((op1 (e13) (e10)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_Hb6].
% 42.98/43.20 congruence.
% 42.98/43.20 apply zenon_Hb6. apply refl_equal.
% 42.98/43.20 apply zenon_H1d7. apply sym_equal. exact zenon_H1b4.
% 42.98/43.20 apply zenon_Hb6. apply refl_equal.
% 42.98/43.20 apply zenon_Hb6. apply refl_equal.
% 42.98/43.20 (* end of lemma zenon_L128_ *)
% 42.98/43.20 assert (zenon_L129_ : (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e13) (e10)) = (e13)) -> (~((e12) = (e13))) -> ((op1 (e11) (e11)) = (e12)) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e10) (e13)) = (e13)) -> False).
% 42.98/43.20 do 0 intro. intros zenon_H1c2 zenon_H1d5 zenon_H125 zenon_H11a zenon_H18f zenon_H48 zenon_H6a zenon_H73 zenon_H74.
% 42.98/43.20 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_H1b4 | zenon_intro zenon_H1c4 ].
% 42.98/43.20 apply (zenon_L128_); trivial.
% 42.98/43.20 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_H172 | zenon_intro zenon_H1c5 ].
% 42.98/43.20 apply (zenon_L111_); trivial.
% 42.98/43.20 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H6b | zenon_intro zenon_H75 ].
% 42.98/43.20 apply (zenon_L20_); trivial.
% 42.98/43.20 apply (zenon_L22_); trivial.
% 42.98/43.20 (* end of lemma zenon_L129_ *)
% 42.98/43.20 assert (zenon_L130_ : (((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13)))))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((e12) = (e13))) -> ((op1 (e11) (e11)) = (e12)) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> False).
% 42.98/43.20 do 0 intro. intros zenon_H122 zenon_H1c2 zenon_H1d5 zenon_H11a zenon_H18f zenon_H48 zenon_H6a zenon_H73.
% 42.98/43.20 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H125. zenon_intro zenon_H124.
% 42.98/43.20 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_H74. zenon_intro zenon_H135.
% 42.98/43.20 apply (zenon_L129_); trivial.
% 42.98/43.20 (* end of lemma zenon_L130_ *)
% 42.98/43.20 assert (zenon_L131_ : ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))))))))))))))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((e10) = (e13))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (e11)) = (e12)) -> (~((e12) = (e13))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((e11) = (e13))) -> False).
% 42.98/43.20 do 0 intro. intros zenon_H142 zenon_H47 zenon_H1c3 zenon_H1a8 zenon_H42 zenon_H1bf zenon_Hf6 zenon_H1ba zenon_H1b0 zenon_H1b1 zenon_H1aa zenon_H1c8 zenon_Hac zenon_H60 zenon_Hb2 zenon_Hf9 zenon_H1b6 zenon_Hca zenon_H161 zenon_Hbd zenon_H166 zenon_H16b zenon_H169 zenon_H1d2 zenon_H1be zenon_H189 zenon_H1d3 zenon_H73 zenon_H6a zenon_H18f zenon_H11a zenon_H1d5 zenon_H1c2 zenon_H105 zenon_H133 zenon_H126 zenon_He0 zenon_H48 zenon_H57 zenon_Hc4 zenon_Hc1.
% 42.98/43.20 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H26 | zenon_intro zenon_H143 ].
% 42.98/43.20 apply (zenon_L8_); trivial.
% 42.98/43.20 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H144 ].
% 42.98/43.20 apply (zenon_L117_); trivial.
% 42.98/43.20 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H145 ].
% 42.98/43.20 apply (zenon_L34_); trivial.
% 42.98/43.20 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H146 ].
% 42.98/43.20 apply (zenon_L36_); trivial.
% 42.98/43.20 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hcd | zenon_intro zenon_H147 ].
% 42.98/43.20 apply (zenon_L120_); trivial.
% 42.98/43.20 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H148 ].
% 42.98/43.20 apply (zenon_L121_); trivial.
% 42.98/43.20 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_Hde | zenon_intro zenon_H149 ].
% 42.98/43.20 apply (zenon_L122_); trivial.
% 42.98/43.20 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_He6 | zenon_intro zenon_H14a ].
% 42.98/43.20 apply (zenon_L48_); trivial.
% 42.98/43.20 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Heb | zenon_intro zenon_H14b ].
% 42.98/43.20 apply (zenon_L125_); trivial.
% 42.98/43.20 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H112 | zenon_intro zenon_H14c ].
% 42.98/43.20 apply (zenon_L127_); trivial.
% 42.98/43.20 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H11d | zenon_intro zenon_H14d ].
% 42.98/43.20 apply (zenon_L61_); trivial.
% 42.98/43.20 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H11f | zenon_intro zenon_H14e ].
% 42.98/43.20 apply (zenon_L62_); trivial.
% 42.98/43.20 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H122 | zenon_intro zenon_H14f ].
% 42.98/43.20 apply (zenon_L130_); trivial.
% 42.98/43.20 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H132 | zenon_intro zenon_H150 ].
% 42.98/43.20 apply (zenon_L66_); trivial.
% 42.98/43.20 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H13b | zenon_intro zenon_H140 ].
% 42.98/43.20 apply (zenon_L67_); trivial.
% 42.98/43.20 apply (zenon_L70_); trivial.
% 42.98/43.20 (* end of lemma zenon_L131_ *)
% 42.98/43.20 assert (zenon_L132_ : ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e11) (e11)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (e10))) -> (~((e11) = (e12))) -> (~((e12) = (e13))) -> (~((e10) = (e12))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))))))))))))))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> False).
% 42.98/43.20 do 0 intro. intros zenon_H1d8 zenon_H1c2 zenon_H1d5 zenon_H18f zenon_H73 zenon_H1d3 zenon_H1be zenon_H1d2 zenon_H1b6 zenon_H1c8 zenon_H1aa zenon_H1b0 zenon_H1ba zenon_Hf6 zenon_H1bf zenon_H1a8 zenon_H1c3 zenon_H47 zenon_H21 zenon_H169 zenon_H11a zenon_H17b zenon_H142 zenon_H152 zenon_Hac zenon_Hb2 zenon_H15c zenon_H126 zenon_H161 zenon_H18c zenon_H57 zenon_He0 zenon_H17f zenon_H66 zenon_H182 zenon_H189 zenon_H174 zenon_H16e zenon_H178 zenon_H105 zenon_Hc1 zenon_H6a zenon_He8 zenon_H5f zenon_H6e zenon_Hf9 zenon_Hca zenon_Hbd zenon_H166 zenon_H16b zenon_H192 zenon_H133 zenon_H42 zenon_H60 zenon_H48 zenon_Hc4.
% 42.98/43.20 apply (zenon_or_s _ _ zenon_H1d8); [ zenon_intro zenon_H1b1 | zenon_intro zenon_H1a5 ].
% 42.98/43.20 apply (zenon_L131_); trivial.
% 42.98/43.20 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H20 | zenon_intro zenon_H1a6 ].
% 42.98/43.20 exact (zenon_H21 zenon_H20).
% 42.98/43.20 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H151 | zenon_intro zenon_H1a7 ].
% 42.98/43.20 apply (zenon_L100_); trivial.
% 42.98/43.20 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H196 | zenon_intro zenon_H198 ].
% 42.98/43.20 apply (zenon_L101_); trivial.
% 42.98/43.20 apply (zenon_L102_); trivial.
% 42.98/43.20 (* end of lemma zenon_L132_ *)
% 42.98/43.20 assert (zenon_L133_ : (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e13)) = (e12)) -> (~((e11) = (e12))) -> False).
% 42.98/43.20 do 0 intro. intros zenon_H133 zenon_H126 zenon_He0 zenon_H48 zenon_H57 zenon_Hc4 zenon_H185 zenon_H169.
% 42.98/43.20 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H127 | zenon_intro zenon_H139 ].
% 42.98/43.20 apply (zenon_L64_); trivial.
% 42.98/43.20 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_He1 | zenon_intro zenon_H13a ].
% 42.98/43.20 apply (zenon_L47_); trivial.
% 42.98/43.20 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H12b ].
% 42.98/43.20 apply (zenon_L40_); trivial.
% 42.98/43.20 apply (zenon_L95_); trivial.
% 42.98/43.20 (* end of lemma zenon_L133_ *)
% 42.98/43.20 assert (zenon_L134_ : (~((op2 (e23) (e20)) = (e23))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((e23) = (op2 (e22) (e22))) -> ((op2 (e21) (e20)) = (e20)) -> (~((e20) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e20) (e21)) = (e20)) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> (~((h3 (op1 (e10) (e10))) = (op2 (h3 (e10)) (h3 (e10))))) -> (((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 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e12)) = (e10))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((e10) = (e13))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))))))))))))))))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e10)) = (e10))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (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) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((e12) = (e13))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((e11) = (e12))) -> False).
% 42.98/43.20 do 0 intro. intros zenon_Ha3 zenon_H9c zenon_H33 zenon_H99 zenon_H80 zenon_H93 zenon_Ha2 zenon_H85 zenon_H7e zenon_H10c zenon_H7b zenon_H2c zenon_H2b zenon_H30 zenon_H2f zenon_H78 zenon_H4f zenon_H56 zenon_H10d zenon_Haf zenon_H109 zenon_Ha8 zenon_H19e zenon_H19f zenon_H1a4 zenon_H60 zenon_H42 zenon_H192 zenon_H16b zenon_H166 zenon_Hbd zenon_Hca zenon_Hf9 zenon_H6e zenon_H5f zenon_He8 zenon_H6a zenon_Hc1 zenon_H105 zenon_H178 zenon_H16e zenon_H174 zenon_H189 zenon_H182 zenon_H66 zenon_H17f zenon_H18c zenon_H161 zenon_H15c zenon_Hb2 zenon_Hac zenon_H152 zenon_H142 zenon_H17b zenon_H21 zenon_H47 zenon_H1c3 zenon_H1a8 zenon_H1bf zenon_Hf6 zenon_H1ba zenon_H1b0 zenon_H1aa zenon_H1c8 zenon_H1b6 zenon_H1d2 zenon_H1be zenon_H1d3 zenon_H73 zenon_H1d5 zenon_H1c2 zenon_H1d8 zenon_H11a zenon_H133 zenon_H126 zenon_He0 zenon_H48 zenon_H57 zenon_Hc4 zenon_H169.
% 42.98/43.20 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H6f | zenon_intro zenon_H193 ].
% 42.98/43.20 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H123 | zenon_intro zenon_H1a5 ].
% 42.98/43.20 apply (zenon_L71_); trivial.
% 42.98/43.20 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H20 | zenon_intro zenon_H1a6 ].
% 42.98/43.20 exact (zenon_H21 zenon_H20).
% 42.98/43.20 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H151 | zenon_intro zenon_H1a7 ].
% 42.98/43.20 apply (zenon_L100_); trivial.
% 42.98/43.20 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H196 | zenon_intro zenon_H198 ].
% 42.98/43.20 apply (zenon_L101_); trivial.
% 42.98/43.20 apply (zenon_L102_); trivial.
% 42.98/43.20 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H17c | zenon_intro zenon_H194 ].
% 42.98/43.20 apply (zenon_L104_); trivial.
% 42.98/43.20 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H18f | zenon_intro zenon_H195 ].
% 42.98/43.20 apply (zenon_L132_); trivial.
% 42.98/43.20 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H119 | zenon_intro zenon_H185 ].
% 42.98/43.20 apply (zenon_L60_); trivial.
% 42.98/43.20 apply (zenon_L133_); trivial.
% 42.98/43.20 (* end of lemma zenon_L134_ *)
% 42.98/43.20 assert (zenon_L135_ : (((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13)))))))) -> ((op1 (e10) (e10)) = (e10)) -> False).
% 42.98/43.20 do 0 intro. intros zenon_Ha7 zenon_H20.
% 42.98/43.20 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H40. zenon_intro zenon_Ha9.
% 42.98/43.20 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_H50. zenon_intro zenon_H28.
% 42.98/43.20 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H22. zenon_intro zenon_H29.
% 42.98/43.20 apply (zenon_L7_); trivial.
% 42.98/43.20 (* end of lemma zenon_L135_ *)
% 42.98/43.20 assert (zenon_L136_ : (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (e10) (e10)) = (e10)) -> ((op1 (e10) (e11)) = (e10)) -> False).
% 42.98/43.20 do 0 intro. intros zenon_H1d9 zenon_H20 zenon_H40.
% 42.98/43.20 cut (((op1 (e10) (e10)) = (e10)) = ((op1 (e10) (e10)) = (op1 (e10) (e11)))).
% 42.98/43.20 intro zenon_D_pnotp.
% 42.98/43.20 apply zenon_H1d9.
% 42.98/43.20 rewrite <- zenon_D_pnotp.
% 42.98/43.20 exact zenon_H20.
% 42.98/43.20 cut (((e10) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H156].
% 42.98/43.20 cut (((op1 (e10) (e10)) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H181].
% 42.98/43.20 congruence.
% 42.98/43.20 apply zenon_H181. apply refl_equal.
% 42.98/43.20 apply zenon_H156. apply sym_equal. exact zenon_H40.
% 42.98/43.20 (* end of lemma zenon_L136_ *)
% 42.98/43.20 assert (zenon_L137_ : (~((e10) = (e12))) -> ((op1 (e12) (e11)) = (e12)) -> ((op1 (e12) (e11)) = (e10)) -> False).
% 42.98/43.20 do 0 intro. intros zenon_H17b zenon_H114 zenon_H1b7.
% 42.98/43.20 cut (((op1 (e12) (e11)) = (e12)) = ((e10) = (e12))).
% 42.98/43.20 intro zenon_D_pnotp.
% 42.98/43.20 apply zenon_H17b.
% 42.98/43.20 rewrite <- zenon_D_pnotp.
% 42.98/43.20 exact zenon_H114.
% 42.98/43.20 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H5d].
% 42.98/43.20 cut (((op1 (e12) (e11)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H1da].
% 42.98/43.20 congruence.
% 42.98/43.20 exact (zenon_H1da zenon_H1b7).
% 42.98/43.20 apply zenon_H5d. apply refl_equal.
% 42.98/43.20 (* end of lemma zenon_L137_ *)
% 42.98/43.20 assert (zenon_L138_ : (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> ((op1 (e13) (e11)) = (e10)) -> ((e13) = (op1 (e12) (e12))) -> False).
% 42.98/43.20 do 0 intro. intros zenon_H1db zenon_H60 zenon_H1dc zenon_H48.
% 42.98/43.20 cut (((e10) = (op1 (op1 (e12) (e12)) (e12))) = ((op1 (e13) (e11)) = (op1 (e13) (e12)))).
% 42.98/43.20 intro zenon_D_pnotp.
% 42.98/43.20 apply zenon_H1db.
% 42.98/43.20 rewrite <- zenon_D_pnotp.
% 42.98/43.20 exact zenon_H60.
% 42.98/43.20 cut (((op1 (op1 (e12) (e12)) (e12)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H5e].
% 42.98/43.20 cut (((e10) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H1dd].
% 42.98/43.20 congruence.
% 42.98/43.20 elim (classic ((op1 (e13) (e11)) = (op1 (e13) (e11)))); [ zenon_intro zenon_He3 | zenon_intro zenon_He4 ].
% 42.98/43.20 cut (((op1 (e13) (e11)) = (op1 (e13) (e11))) = ((e10) = (op1 (e13) (e11)))).
% 42.98/43.20 intro zenon_D_pnotp.
% 42.98/43.20 apply zenon_H1dd.
% 42.98/43.20 rewrite <- zenon_D_pnotp.
% 42.98/43.20 exact zenon_He3.
% 42.98/43.20 cut (((op1 (e13) (e11)) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_He4].
% 42.98/43.20 cut (((op1 (e13) (e11)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H1de].
% 42.98/43.20 congruence.
% 42.98/43.20 exact (zenon_H1de zenon_H1dc).
% 42.98/43.20 apply zenon_He4. apply refl_equal.
% 42.98/43.20 apply zenon_He4. apply refl_equal.
% 42.98/43.20 apply (zenon_L17_); trivial.
% 42.98/43.20 (* end of lemma zenon_L138_ *)
% 42.98/43.20 assert (zenon_L139_ : ((op1 (e11) (e12)) = (e12)) -> ((op1 (e11) (e10)) = (e12)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> False).
% 42.98/43.20 do 0 intro. intros zenon_H67 zenon_H1df zenon_H1e0.
% 42.98/43.20 elim (classic ((op1 (e11) (e12)) = (op1 (e11) (e12)))); [ zenon_intro zenon_H63 | zenon_intro zenon_H64 ].
% 42.98/43.20 cut (((op1 (e11) (e12)) = (op1 (e11) (e12))) = ((op1 (e11) (e10)) = (op1 (e11) (e12)))).
% 42.98/43.20 intro zenon_D_pnotp.
% 42.98/43.20 apply zenon_H1e0.
% 42.98/43.20 rewrite <- zenon_D_pnotp.
% 42.98/43.20 exact zenon_H63.
% 42.98/43.20 cut (((op1 (e11) (e12)) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H64].
% 42.98/43.20 cut (((op1 (e11) (e12)) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H1e1].
% 42.98/43.20 congruence.
% 42.98/43.20 cut (((op1 (e11) (e12)) = (e12)) = ((op1 (e11) (e12)) = (op1 (e11) (e10)))).
% 42.98/43.20 intro zenon_D_pnotp.
% 42.98/43.20 apply zenon_H1e1.
% 42.98/43.20 rewrite <- zenon_D_pnotp.
% 42.98/43.20 exact zenon_H67.
% 42.98/43.20 cut (((e12) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H1e2].
% 42.98/43.20 cut (((op1 (e11) (e12)) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H64].
% 42.98/43.20 congruence.
% 42.98/43.20 apply zenon_H64. apply refl_equal.
% 42.98/43.20 apply zenon_H1e2. apply sym_equal. exact zenon_H1df.
% 42.98/43.20 apply zenon_H64. apply refl_equal.
% 42.98/43.20 apply zenon_H64. apply refl_equal.
% 42.98/43.20 (* end of lemma zenon_L139_ *)
% 42.98/43.20 assert (zenon_L140_ : (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e12)) = (e12)) -> ((op1 (e13) (e12)) = (e12)) -> False).
% 42.98/43.20 do 0 intro. intros zenon_H5f zenon_H67 zenon_H121.
% 42.98/43.20 cut (((op1 (e11) (e12)) = (e12)) = ((op1 (e11) (e12)) = (op1 (e13) (e12)))).
% 42.98/43.20 intro zenon_D_pnotp.
% 42.98/43.20 apply zenon_H5f.
% 42.98/43.20 rewrite <- zenon_D_pnotp.
% 42.98/43.20 exact zenon_H67.
% 42.98/43.20 cut (((e12) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H1e3].
% 42.98/43.20 cut (((op1 (e11) (e12)) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H64].
% 42.98/43.20 congruence.
% 42.98/43.20 apply zenon_H64. apply refl_equal.
% 42.98/43.20 apply zenon_H1e3. apply sym_equal. exact zenon_H121.
% 42.98/43.20 (* end of lemma zenon_L140_ *)
% 42.98/43.20 assert (zenon_L141_ : (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((op1 (e11) (e12)) = (e11))) -> ((op1 (e13) (e12)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((e13) = (op1 (e12) (e12))) -> False).
% 42.98/43.20 do 0 intro. intros zenon_H6e zenon_H60 zenon_H6f zenon_H121 zenon_H5f zenon_H6a zenon_H48.
% 42.98/43.20 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H61 | zenon_intro zenon_H70 ].
% 42.98/43.20 apply (zenon_L18_); trivial.
% 42.98/43.20 apply (zenon_or_s _ _ zenon_H70); [ zenon_intro zenon_H72 | zenon_intro zenon_H71 ].
% 42.98/43.20 exact (zenon_H6f zenon_H72).
% 42.98/43.20 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H67 | zenon_intro zenon_H6b ].
% 42.98/43.20 apply (zenon_L140_); trivial.
% 42.98/43.20 apply (zenon_L20_); trivial.
% 42.98/43.20 (* end of lemma zenon_L141_ *)
% 42.98/43.20 assert (zenon_L142_ : (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (e10)) = (e12)) -> (~((op1 (e12) (e12)) = (e12))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((e13) = (op1 (e12) (e12))) -> False).
% 42.98/43.20 do 0 intro. intros zenon_H1e4 zenon_He8 zenon_H1e0 zenon_H1df zenon_H11c zenon_H6e zenon_H60 zenon_H6f zenon_H5f zenon_H6a zenon_H48.
% 42.98/43.20 apply (zenon_or_s _ _ zenon_H1e4); [ zenon_intro zenon_He9 | zenon_intro zenon_H1e5 ].
% 42.98/43.20 apply (zenon_L50_); trivial.
% 42.98/43.20 apply (zenon_or_s _ _ zenon_H1e5); [ zenon_intro zenon_H67 | zenon_intro zenon_H1e6 ].
% 42.98/43.20 apply (zenon_L139_); trivial.
% 42.98/43.20 apply (zenon_or_s _ _ zenon_H1e6); [ zenon_intro zenon_H119 | zenon_intro zenon_H121 ].
% 42.98/43.20 exact (zenon_H11c zenon_H119).
% 42.98/43.20 apply (zenon_L141_); trivial.
% 42.98/43.20 (* end of lemma zenon_L142_ *)
% 42.98/43.20 assert (zenon_L143_ : ((op1 (e11) (e11)) = (e12)) -> ((op1 (e10) (e11)) = (e12)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> False).
% 42.98/43.20 do 0 intro. intros zenon_H18f zenon_H1e7 zenon_H152.
% 42.98/43.20 elim (classic ((op1 (e11) (e11)) = (op1 (e11) (e11)))); [ zenon_intro zenon_H153 | zenon_intro zenon_H154 ].
% 42.98/43.20 cut (((op1 (e11) (e11)) = (op1 (e11) (e11))) = ((op1 (e10) (e11)) = (op1 (e11) (e11)))).
% 42.98/43.20 intro zenon_D_pnotp.
% 42.98/43.20 apply zenon_H152.
% 42.98/43.20 rewrite <- zenon_D_pnotp.
% 42.98/43.20 exact zenon_H153.
% 42.98/43.20 cut (((op1 (e11) (e11)) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H154].
% 42.98/43.20 cut (((op1 (e11) (e11)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H155].
% 42.98/43.20 congruence.
% 42.98/43.20 cut (((op1 (e11) (e11)) = (e12)) = ((op1 (e11) (e11)) = (op1 (e10) (e11)))).
% 42.98/43.20 intro zenon_D_pnotp.
% 42.98/43.20 apply zenon_H155.
% 42.98/43.20 rewrite <- zenon_D_pnotp.
% 42.98/43.20 exact zenon_H18f.
% 42.98/43.20 cut (((e12) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H1e8].
% 42.98/43.20 cut (((op1 (e11) (e11)) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H154].
% 42.98/43.20 congruence.
% 42.98/43.20 apply zenon_H154. apply refl_equal.
% 42.98/43.20 apply zenon_H1e8. apply sym_equal. exact zenon_H1e7.
% 42.98/43.20 apply zenon_H154. apply refl_equal.
% 42.98/43.20 apply zenon_H154. apply refl_equal.
% 42.98/43.20 (* end of lemma zenon_L143_ *)
% 42.98/43.20 assert (zenon_L144_ : ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> ((op1 (e13) (e10)) = (e12)) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e13) (op1 (e13) (e10))) = (e10))) -> False).
% 42.98/43.20 do 0 intro. intros zenon_H60 zenon_H1a2 zenon_H48 zenon_H137.
% 42.98/43.20 elim (classic ((e10) = (e10))); [ zenon_intro zenon_H1e9 | zenon_intro zenon_H1e ].
% 42.98/43.20 cut (((e10) = (e10)) = ((op1 (e13) (op1 (e13) (e10))) = (e10))).
% 42.98/43.20 intro zenon_D_pnotp.
% 42.98/43.20 apply zenon_H137.
% 42.98/43.20 rewrite <- zenon_D_pnotp.
% 42.98/43.20 exact zenon_H1e9.
% 42.98/43.20 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H1e].
% 42.98/43.20 cut (((e10) = (op1 (e13) (op1 (e13) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H1ea].
% 42.98/43.20 congruence.
% 42.98/43.20 cut (((e10) = (op1 (op1 (e12) (e12)) (e12))) = ((e10) = (op1 (e13) (op1 (e13) (e10))))).
% 42.98/43.20 intro zenon_D_pnotp.
% 42.98/43.20 apply zenon_H1ea.
% 42.98/43.20 rewrite <- zenon_D_pnotp.
% 42.98/43.20 exact zenon_H60.
% 42.98/43.20 cut (((op1 (op1 (e12) (e12)) (e12)) = (op1 (e13) (op1 (e13) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H1eb].
% 42.98/43.20 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H1e].
% 42.98/43.20 congruence.
% 42.98/43.20 apply zenon_H1e. apply refl_equal.
% 42.98/43.20 cut (((e12) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H1a3].
% 42.98/43.20 cut (((op1 (e12) (e12)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H55].
% 42.98/43.20 congruence.
% 42.98/43.20 apply zenon_H55. apply sym_equal. exact zenon_H48.
% 42.98/43.20 apply zenon_H1a3. apply sym_equal. exact zenon_H1a2.
% 42.98/43.20 apply zenon_H1e. apply refl_equal.
% 42.98/43.20 apply zenon_H1e. apply refl_equal.
% 42.98/43.20 (* end of lemma zenon_L144_ *)
% 42.98/43.20 assert (zenon_L145_ : (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (op1 (e13) (e10))) = (e10))) -> ((e13) = (op1 (e12) (e12))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> ((op1 (e10) (e11)) = (e12)) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e13)) = (e11)) -> (~((e11) = (e12))) -> False).
% 42.98/43.20 do 0 intro. intros zenon_H1ec zenon_H137 zenon_H48 zenon_H60 zenon_H1e7 zenon_H1ed zenon_H67 zenon_H5f zenon_H12b zenon_H169.
% 42.98/43.20 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H1ee ].
% 42.98/43.20 apply (zenon_L144_); trivial.
% 42.98/43.20 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H1f0 | zenon_intro zenon_H1ef ].
% 42.98/43.20 cut (((op1 (e10) (e11)) = (e12)) = ((op1 (e10) (e11)) = (op1 (e13) (e11)))).
% 42.98/43.20 intro zenon_D_pnotp.
% 42.98/43.20 apply zenon_H1ed.
% 42.98/43.20 rewrite <- zenon_D_pnotp.
% 42.98/43.20 exact zenon_H1e7.
% 42.98/43.20 cut (((e12) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H1f1].
% 42.98/43.20 cut (((op1 (e10) (e11)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H1b9].
% 42.98/43.20 congruence.
% 42.98/43.20 apply zenon_H1b9. apply refl_equal.
% 42.98/43.20 apply zenon_H1f1. apply sym_equal. exact zenon_H1f0.
% 42.98/43.20 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H121 | zenon_intro zenon_H185 ].
% 42.98/43.20 apply (zenon_L140_); trivial.
% 42.98/43.20 apply (zenon_L95_); trivial.
% 42.98/43.20 (* end of lemma zenon_L145_ *)
% 42.98/43.20 assert (zenon_L146_ : (~((e12) = (e13))) -> ((op1 (e10) (e13)) = (e13)) -> ((op1 (e10) (e13)) = (e12)) -> False).
% 42.98/43.20 do 0 intro. intros zenon_H11a zenon_H74 zenon_H183.
% 42.98/43.20 cut (((op1 (e10) (e13)) = (e13)) = ((e12) = (e13))).
% 42.98/43.20 intro zenon_D_pnotp.
% 42.98/43.20 apply zenon_H11a.
% 42.98/43.20 rewrite <- zenon_D_pnotp.
% 42.98/43.20 exact zenon_H74.
% 42.98/43.20 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H44].
% 42.98/43.20 cut (((op1 (e10) (e13)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H1f2].
% 42.98/43.20 congruence.
% 42.98/43.20 exact (zenon_H1f2 zenon_H183).
% 42.98/43.20 apply zenon_H44. apply refl_equal.
% 42.98/43.20 (* end of lemma zenon_L146_ *)
% 42.98/43.20 assert (zenon_L147_ : ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))))))))))))))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((e12) = (e13))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((e10) = (e12))) -> ((op1 (e10) (e10)) = (e10)) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((e11) = (e13))) -> False).
% 42.98/43.20 do 0 intro. intros zenon_H142 zenon_Hac zenon_Hb2 zenon_H1db zenon_H16b zenon_H166 zenon_Hbd zenon_H15c zenon_H161 zenon_Hca zenon_Hf9 zenon_H1d9 zenon_H1f3 zenon_H11a zenon_H6e zenon_H60 zenon_H5f zenon_H6f zenon_He8 zenon_H6a zenon_H1f4 zenon_H11c zenon_H1e0 zenon_H1e4 zenon_H152 zenon_H169 zenon_H1ed zenon_H1ec zenon_H66 zenon_H17b zenon_H20 zenon_H1f5 zenon_H105 zenon_H133 zenon_H126 zenon_He0 zenon_H48 zenon_H57 zenon_Hc4 zenon_Hc1.
% 42.98/43.20 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H26 | zenon_intro zenon_H143 ].
% 42.98/43.20 apply (zenon_L8_); trivial.
% 42.98/43.20 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H144 ].
% 42.98/43.20 apply (zenon_L135_); trivial.
% 42.98/43.20 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H145 ].
% 42.98/43.20 apply (zenon_L34_); trivial.
% 42.98/43.20 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H146 ].
% 42.98/43.20 apply (zenon_L36_); trivial.
% 42.98/43.20 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hcd | zenon_intro zenon_H147 ].
% 42.98/43.20 apply (zenon_L42_); trivial.
% 42.98/43.20 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H148 ].
% 42.98/43.20 apply (zenon_L45_); trivial.
% 42.98/43.20 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_Hde | zenon_intro zenon_H149 ].
% 42.98/43.20 apply (zenon_L46_); trivial.
% 42.98/43.20 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_He6 | zenon_intro zenon_H14a ].
% 42.98/43.20 apply (zenon_L48_); trivial.
% 42.98/43.20 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Heb | zenon_intro zenon_H14b ].
% 42.98/43.20 apply (zenon_L51_); trivial.
% 42.98/43.20 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H112 | zenon_intro zenon_H14c ].
% 42.98/43.20 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H114. zenon_intro zenon_H113.
% 42.98/43.20 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H40 | zenon_intro zenon_H1f6 ].
% 42.98/43.20 apply (zenon_L136_); trivial.
% 42.98/43.20 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H151 | zenon_intro zenon_H1f7 ].
% 42.98/43.20 apply (zenon_L82_); trivial.
% 42.98/43.20 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1dc ].
% 42.98/43.20 apply (zenon_L137_); trivial.
% 42.98/43.20 apply (zenon_L138_); trivial.
% 42.98/43.20 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H11d | zenon_intro zenon_H14d ].
% 42.98/43.20 apply (zenon_L61_); trivial.
% 42.98/43.20 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H11f | zenon_intro zenon_H14e ].
% 42.98/43.20 apply (zenon_L62_); trivial.
% 42.98/43.20 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H122 | zenon_intro zenon_H14f ].
% 42.98/43.20 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H125. zenon_intro zenon_H124.
% 42.98/43.20 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_H74. zenon_intro zenon_H135.
% 42.98/43.20 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H137. zenon_intro zenon_H136.
% 42.98/43.20 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H17c | zenon_intro zenon_H1f8 ].
% 42.98/43.20 apply (zenon_L91_); trivial.
% 42.98/43.20 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H1f9 ].
% 42.98/43.20 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H1df | zenon_intro zenon_H1fa ].
% 42.98/43.20 apply (zenon_L142_); trivial.
% 42.98/43.20 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H18f | zenon_intro zenon_H1fb ].
% 42.98/43.20 apply (zenon_L143_); trivial.
% 42.98/43.20 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H67 | zenon_intro zenon_H68 ].
% 42.98/43.20 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H127 | zenon_intro zenon_H139 ].
% 42.98/43.20 apply (zenon_L64_); trivial.
% 42.98/43.20 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_He1 | zenon_intro zenon_H13a ].
% 42.98/43.20 apply (zenon_L47_); trivial.
% 42.98/43.20 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H12b ].
% 42.98/43.20 apply (zenon_L40_); trivial.
% 42.98/43.20 apply (zenon_L145_); trivial.
% 42.98/43.20 apply (zenon_L21_); trivial.
% 42.98/43.20 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_He9 | zenon_intro zenon_H183 ].
% 42.98/43.20 apply (zenon_L50_); trivial.
% 42.98/43.20 apply (zenon_L146_); trivial.
% 42.98/43.20 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H132 | zenon_intro zenon_H150 ].
% 42.98/43.20 apply (zenon_L66_); trivial.
% 42.98/43.20 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H13b | zenon_intro zenon_H140 ].
% 42.98/43.20 apply (zenon_L67_); trivial.
% 42.98/43.20 apply (zenon_L70_); trivial.
% 42.98/43.20 (* end of lemma zenon_L147_ *)
% 42.98/43.20 assert (zenon_L148_ : ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))))))))))))))))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (e11)) = (e12)) -> (~((e12) = (e13))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((e11) = (e13))) -> False).
% 42.98/43.20 do 0 intro. intros zenon_H142 zenon_H20 zenon_Hac zenon_H60 zenon_Hb2 zenon_Hf9 zenon_H1b6 zenon_Hca zenon_H161 zenon_Hbd zenon_H166 zenon_H16b zenon_H169 zenon_H1d2 zenon_H1be zenon_H189 zenon_H1d3 zenon_H73 zenon_H6a zenon_H18f zenon_H11a zenon_H1d5 zenon_H1c2 zenon_H105 zenon_H133 zenon_H126 zenon_He0 zenon_H48 zenon_H57 zenon_Hc4 zenon_Hc1.
% 42.98/43.20 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H26 | zenon_intro zenon_H143 ].
% 42.98/43.20 apply (zenon_L8_); trivial.
% 42.98/43.20 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H144 ].
% 42.98/43.20 apply (zenon_L135_); trivial.
% 42.98/43.20 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H145 ].
% 42.98/43.20 apply (zenon_L34_); trivial.
% 42.98/43.20 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H146 ].
% 42.98/43.20 apply (zenon_L36_); trivial.
% 42.98/43.20 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hcd | zenon_intro zenon_H147 ].
% 42.98/43.20 apply (zenon_L120_); trivial.
% 42.98/43.20 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H148 ].
% 42.98/43.20 apply (zenon_L121_); trivial.
% 42.98/43.20 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_Hde | zenon_intro zenon_H149 ].
% 42.98/43.20 apply (zenon_L122_); trivial.
% 42.98/43.20 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_He6 | zenon_intro zenon_H14a ].
% 42.98/43.20 apply (zenon_L48_); trivial.
% 42.98/43.20 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Heb | zenon_intro zenon_H14b ].
% 42.98/43.20 apply (zenon_L125_); trivial.
% 42.98/43.20 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H112 | zenon_intro zenon_H14c ].
% 42.98/43.20 apply (zenon_L127_); trivial.
% 42.98/43.20 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H11d | zenon_intro zenon_H14d ].
% 42.98/43.20 apply (zenon_L61_); trivial.
% 42.98/43.20 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H11f | zenon_intro zenon_H14e ].
% 42.98/43.20 apply (zenon_L62_); trivial.
% 42.98/43.20 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H122 | zenon_intro zenon_H14f ].
% 42.98/43.20 apply (zenon_L130_); trivial.
% 42.98/43.20 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H132 | zenon_intro zenon_H150 ].
% 42.98/43.20 apply (zenon_L66_); trivial.
% 42.98/43.20 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H13b | zenon_intro zenon_H140 ].
% 42.98/43.20 apply (zenon_L67_); trivial.
% 42.98/43.20 apply (zenon_L70_); trivial.
% 42.98/43.20 (* end of lemma zenon_L148_ *)
% 42.98/43.20 assert (zenon_L149_ : ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((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 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (~((e10) = (e12))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e10)) = (e10)) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))))))))))))))))) -> (~((e12) = (e13))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((e11) = (e12))) -> False).
% 42.98/43.21 do 0 intro. intros zenon_H192 zenon_H1db zenon_H15c zenon_H1d9 zenon_H1f3 zenon_H6e zenon_H5f zenon_He8 zenon_H1f4 zenon_H1e0 zenon_H1e4 zenon_H152 zenon_H1ed zenon_H1ec zenon_H66 zenon_H1f5 zenon_H1fc zenon_H17b zenon_Hc1 zenon_H105 zenon_H1c2 zenon_H1d5 zenon_H6a zenon_H73 zenon_H1d3 zenon_H189 zenon_H1be zenon_H1d2 zenon_H16b zenon_H166 zenon_Hbd zenon_H161 zenon_Hca zenon_H1b6 zenon_Hf9 zenon_Hb2 zenon_H60 zenon_Hac zenon_H20 zenon_H142 zenon_H11a zenon_H133 zenon_H126 zenon_He0 zenon_H48 zenon_H57 zenon_Hc4 zenon_H169.
% 42.98/43.21 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H6f | zenon_intro zenon_H193 ].
% 42.98/43.21 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H11c | zenon_intro zenon_H193 ].
% 42.98/43.21 apply (zenon_L147_); trivial.
% 42.98/43.21 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H17c | zenon_intro zenon_H194 ].
% 42.98/43.21 apply (zenon_L91_); trivial.
% 42.98/43.21 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H18f | zenon_intro zenon_H195 ].
% 42.98/43.21 apply (zenon_L148_); trivial.
% 42.98/43.21 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H119 | zenon_intro zenon_H185 ].
% 42.98/43.21 apply (zenon_L60_); trivial.
% 42.98/43.21 apply (zenon_L133_); trivial.
% 42.98/43.21 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H17c | zenon_intro zenon_H194 ].
% 42.98/43.21 apply (zenon_L91_); trivial.
% 42.98/43.21 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H18f | zenon_intro zenon_H195 ].
% 42.98/43.21 apply (zenon_L148_); trivial.
% 42.98/43.21 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H119 | zenon_intro zenon_H185 ].
% 42.98/43.21 apply (zenon_L60_); trivial.
% 42.98/43.21 apply (zenon_L133_); trivial.
% 42.98/43.21 (* end of lemma zenon_L149_ *)
% 42.98/43.21 assert (zenon_L150_ : (((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23)))))))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op2 (e23) (e20)) = (e23))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((e23) = (op2 (e22) (e22))) -> (~((e20) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> (~((h3 (op1 (e10) (e10))) = (op2 (h3 (e10)) (h3 (e10))))) -> (((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 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> ((~((op1 (e10) (e12)) = (e10)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (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)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e12) = (e13))) -> (~((e10) = (e12))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))))))))))))))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> False).
% 42.98/43.21 do 0 intro. intros zenon_H1fd zenon_H1fe zenon_H1d8 zenon_H1c8 zenon_H1aa zenon_H1b0 zenon_H1ba zenon_Hf6 zenon_H1bf zenon_H1a8 zenon_H1c3 zenon_H47 zenon_H1a4 zenon_H19f zenon_H19e zenon_Ha3 zenon_H9c zenon_H33 zenon_H80 zenon_H93 zenon_Ha2 zenon_H85 zenon_H10c zenon_H7b zenon_H2c zenon_H2b zenon_H30 zenon_H2f zenon_H78 zenon_H4f zenon_H56 zenon_H10d zenon_H109 zenon_Ha8 zenon_H1ff zenon_H1b6 zenon_H1d2 zenon_H1be zenon_H1d3 zenon_H73 zenon_H1d5 zenon_H1c2 zenon_H1fc zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H1e4 zenon_H1e0 zenon_H1f4 zenon_H1f3 zenon_H1d9 zenon_H1db zenon_H169 zenon_H11a zenon_H17b zenon_H142 zenon_H152 zenon_Hac zenon_Hb2 zenon_H15c zenon_H126 zenon_H161 zenon_H18c zenon_H57 zenon_He0 zenon_H17f zenon_H66 zenon_H182 zenon_H189 zenon_H174 zenon_H16e zenon_H178 zenon_H105 zenon_Hc1 zenon_H6a zenon_He8 zenon_H5f zenon_H6e zenon_Hf9 zenon_Hca zenon_Hbd zenon_H166 zenon_H16b zenon_H192 zenon_H133 zenon_H42 zenon_H60 zenon_H48 zenon_Hc4.
% 42.98/43.21 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_H7e. zenon_intro zenon_H200.
% 42.98/43.21 apply (zenon_and_s _ _ zenon_H200). zenon_intro zenon_H99. zenon_intro zenon_H1c.
% 42.98/43.21 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H21 | zenon_intro zenon_H1a5 ].
% 42.98/43.21 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_Haf | zenon_intro zenon_H193 ].
% 42.98/43.21 apply (zenon_L134_); trivial.
% 42.98/43.21 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H17c | zenon_intro zenon_H194 ].
% 42.98/43.21 apply (zenon_L104_); trivial.
% 42.98/43.21 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H18f | zenon_intro zenon_H195 ].
% 42.98/43.21 apply (zenon_L132_); trivial.
% 42.98/43.21 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H119 | zenon_intro zenon_H185 ].
% 42.98/43.21 apply (zenon_L60_); trivial.
% 42.98/43.21 apply (zenon_L133_); trivial.
% 42.98/43.21 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H20 | zenon_intro zenon_H1a6 ].
% 42.98/43.21 apply (zenon_L149_); trivial.
% 42.98/43.21 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H151 | zenon_intro zenon_H1a7 ].
% 42.98/43.21 apply (zenon_L100_); trivial.
% 42.98/43.21 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H196 | zenon_intro zenon_H198 ].
% 42.98/43.21 apply (zenon_L101_); trivial.
% 42.98/43.21 apply (zenon_L102_); trivial.
% 42.98/43.21 (* end of lemma zenon_L150_ *)
% 42.98/43.21 assert (zenon_L151_ : (~((e22) = (e22))) -> False).
% 42.98/43.21 do 0 intro. intros zenon_H201.
% 42.98/43.21 apply zenon_H201. apply refl_equal.
% 42.98/43.21 (* end of lemma zenon_L151_ *)
% 42.98/43.21 assert (zenon_L152_ : (~((op2 (op2 (e22) (e22)) (e22)) = (op2 (e23) (e22)))) -> ((e23) = (op2 (e22) (e22))) -> False).
% 42.98/43.21 do 0 intro. intros zenon_H202 zenon_H33.
% 42.98/43.21 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H201].
% 42.98/43.21 cut (((op2 (e22) (e22)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H203].
% 42.98/43.21 congruence.
% 42.98/43.21 apply zenon_H203. apply sym_equal. exact zenon_H33.
% 42.98/43.21 apply zenon_H201. apply refl_equal.
% 42.98/43.21 (* end of lemma zenon_L152_ *)
% 42.98/43.21 assert (zenon_L153_ : (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((op2 (e20) (e22)) = (e20)) -> ((e23) = (op2 (e22) (e22))) -> False).
% 42.98/43.21 do 0 intro. intros zenon_H204 zenon_H2c zenon_H205 zenon_H33.
% 42.98/43.21 cut (((e20) = (op2 (op2 (e22) (e22)) (e22))) = ((op2 (e20) (e22)) = (op2 (e23) (e22)))).
% 42.98/43.21 intro zenon_D_pnotp.
% 42.98/43.21 apply zenon_H204.
% 42.98/43.21 rewrite <- zenon_D_pnotp.
% 42.98/43.21 exact zenon_H2c.
% 42.98/43.21 cut (((op2 (op2 (e22) (e22)) (e22)) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H202].
% 42.98/43.21 cut (((e20) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H206].
% 42.98/43.21 congruence.
% 42.98/43.21 elim (classic ((op2 (e20) (e22)) = (op2 (e20) (e22)))); [ zenon_intro zenon_H89 | zenon_intro zenon_H8a ].
% 42.98/43.21 cut (((op2 (e20) (e22)) = (op2 (e20) (e22))) = ((e20) = (op2 (e20) (e22)))).
% 42.98/43.21 intro zenon_D_pnotp.
% 42.98/43.21 apply zenon_H206.
% 42.98/43.21 rewrite <- zenon_D_pnotp.
% 42.98/43.21 exact zenon_H89.
% 42.98/43.21 cut (((op2 (e20) (e22)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H8a].
% 42.98/43.21 cut (((op2 (e20) (e22)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H207].
% 42.98/43.21 congruence.
% 42.98/43.21 exact (zenon_H207 zenon_H205).
% 42.98/43.21 apply zenon_H8a. apply refl_equal.
% 42.98/43.21 apply zenon_H8a. apply refl_equal.
% 42.98/43.21 apply (zenon_L152_); trivial.
% 42.98/43.21 (* end of lemma zenon_L153_ *)
% 42.98/43.21 assert (zenon_L154_ : (((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23)))))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((e23) = (op2 (e22) (e22))) -> False).
% 42.98/43.21 do 0 intro. intros zenon_H208 zenon_H204 zenon_H2c zenon_H33.
% 42.98/43.21 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H205. zenon_intro zenon_H209.
% 42.98/43.21 apply (zenon_L153_); trivial.
% 42.98/43.21 (* end of lemma zenon_L154_ *)
% 42.98/43.21 assert (zenon_L155_ : (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((op2 (e23) (e20)) = (e20)) -> ((e23) = (op2 (e22) (e22))) -> False).
% 42.98/43.21 do 0 intro. intros zenon_H20a zenon_H2c zenon_H20b zenon_H33.
% 42.98/43.21 cut (((e20) = (op2 (op2 (e22) (e22)) (e22))) = ((op2 (e23) (e20)) = (op2 (e23) (e22)))).
% 42.98/43.21 intro zenon_D_pnotp.
% 42.98/43.21 apply zenon_H20a.
% 42.98/43.21 rewrite <- zenon_D_pnotp.
% 42.98/43.21 exact zenon_H2c.
% 42.98/43.21 cut (((op2 (op2 (e22) (e22)) (e22)) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H202].
% 42.98/43.21 cut (((e20) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H20c].
% 42.98/43.21 congruence.
% 42.98/43.21 elim (classic ((op2 (e23) (e20)) = (op2 (e23) (e20)))); [ zenon_intro zenon_H20d | zenon_intro zenon_H20e ].
% 42.98/43.21 cut (((op2 (e23) (e20)) = (op2 (e23) (e20))) = ((e20) = (op2 (e23) (e20)))).
% 42.98/43.21 intro zenon_D_pnotp.
% 42.98/43.21 apply zenon_H20c.
% 42.98/43.21 rewrite <- zenon_D_pnotp.
% 42.98/43.21 exact zenon_H20d.
% 42.98/43.21 cut (((op2 (e23) (e20)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H20e].
% 42.98/43.21 cut (((op2 (e23) (e20)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H20f].
% 42.98/43.21 congruence.
% 42.98/43.21 exact (zenon_H20f zenon_H20b).
% 42.98/43.21 apply zenon_H20e. apply refl_equal.
% 42.98/43.21 apply zenon_H20e. apply refl_equal.
% 42.98/43.21 apply (zenon_L152_); trivial.
% 42.98/43.21 (* end of lemma zenon_L155_ *)
% 42.98/43.21 assert (zenon_L156_ : (((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23)))))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((e23) = (op2 (e22) (e22))) -> False).
% 42.98/43.21 do 0 intro. intros zenon_H210 zenon_H20a zenon_H2c zenon_H33.
% 42.98/43.21 apply (zenon_and_s _ _ zenon_H210). zenon_intro zenon_H212. zenon_intro zenon_H211.
% 42.98/43.21 apply (zenon_and_s _ _ zenon_H211). zenon_intro zenon_H20b. zenon_intro zenon_H1c.
% 42.98/43.21 apply (zenon_L155_); trivial.
% 42.98/43.21 (* end of lemma zenon_L156_ *)
% 42.98/43.21 assert (zenon_L157_ : (((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23)))))))) -> (~((op2 (e21) (e20)) = (e21))) -> False).
% 42.98/43.21 do 0 intro. intros zenon_H213 zenon_H214.
% 42.98/43.21 apply (zenon_and_s _ _ zenon_H213). zenon_intro zenon_H216. zenon_intro zenon_H215.
% 42.98/43.21 exact (zenon_H214 zenon_H216).
% 42.98/43.21 (* end of lemma zenon_L157_ *)
% 42.98/43.21 assert (zenon_L158_ : (~((e21) = (e21))) -> False).
% 42.98/43.21 do 0 intro. intros zenon_H217.
% 42.98/43.21 apply zenon_H217. apply refl_equal.
% 42.98/43.21 (* end of lemma zenon_L158_ *)
% 42.98/43.21 assert (zenon_L159_ : (~((op2 (e21) (op2 (e21) (e21))) = (op2 (e21) (e21)))) -> ((op2 (e21) (e21)) = (e21)) -> False).
% 42.98/43.21 do 0 intro. intros zenon_H218 zenon_H219.
% 42.98/43.21 cut (((op2 (e21) (e21)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H21a].
% 42.98/43.21 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H217].
% 42.98/43.21 congruence.
% 42.98/43.21 apply zenon_H217. apply refl_equal.
% 42.98/43.21 exact (zenon_H21a zenon_H219).
% 42.98/43.21 (* end of lemma zenon_L159_ *)
% 42.98/43.21 assert (zenon_L160_ : (((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23)))))))) -> False).
% 42.98/43.21 do 0 intro. intros zenon_H21b.
% 42.98/43.21 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H219. zenon_intro zenon_H21c.
% 42.98/43.21 apply (zenon_and_s _ _ zenon_H21c). zenon_intro zenon_H219. zenon_intro zenon_H21d.
% 42.98/43.21 apply (zenon_and_s _ _ zenon_H21d). zenon_intro zenon_H21f. zenon_intro zenon_H21e.
% 42.98/43.21 apply (zenon_and_s _ _ zenon_H21e). zenon_intro zenon_H221. zenon_intro zenon_H220.
% 42.98/43.21 cut (((op2 (e21) (e21)) = (e21)) = ((op2 (e21) (op2 (e21) (e21))) = (e21))).
% 42.98/43.21 intro zenon_D_pnotp.
% 42.98/43.21 apply zenon_H221.
% 42.98/43.21 rewrite <- zenon_D_pnotp.
% 42.98/43.21 exact zenon_H219.
% 42.98/43.21 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H217].
% 42.98/43.21 cut (((op2 (e21) (e21)) = (op2 (e21) (op2 (e21) (e21))))); [idtac | apply NNPP; zenon_intro zenon_H222].
% 42.98/43.21 congruence.
% 42.98/43.21 elim (classic ((op2 (e21) (op2 (e21) (e21))) = (op2 (e21) (op2 (e21) (e21))))); [ zenon_intro zenon_H223 | zenon_intro zenon_H224 ].
% 42.98/43.21 cut (((op2 (e21) (op2 (e21) (e21))) = (op2 (e21) (op2 (e21) (e21)))) = ((op2 (e21) (e21)) = (op2 (e21) (op2 (e21) (e21))))).
% 42.98/43.21 intro zenon_D_pnotp.
% 42.98/43.21 apply zenon_H222.
% 42.98/43.21 rewrite <- zenon_D_pnotp.
% 42.98/43.21 exact zenon_H223.
% 42.98/43.21 cut (((op2 (e21) (op2 (e21) (e21))) = (op2 (e21) (op2 (e21) (e21))))); [idtac | apply NNPP; zenon_intro zenon_H224].
% 42.98/43.21 cut (((op2 (e21) (op2 (e21) (e21))) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H218].
% 42.98/43.21 congruence.
% 42.98/43.21 apply (zenon_L159_); trivial.
% 42.98/43.21 apply zenon_H224. apply refl_equal.
% 42.98/43.21 apply zenon_H224. apply refl_equal.
% 42.98/43.21 apply zenon_H217. apply refl_equal.
% 42.98/43.21 (* end of lemma zenon_L160_ *)
% 42.98/43.21 assert (zenon_L161_ : (((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23)))))))) -> (~((op2 (e21) (e22)) = (e21))) -> False).
% 42.98/43.21 do 0 intro. intros zenon_H225 zenon_H226.
% 42.98/43.21 apply (zenon_and_s _ _ zenon_H225). zenon_intro zenon_H228. zenon_intro zenon_H227.
% 42.98/43.21 exact (zenon_H226 zenon_H228).
% 42.98/43.21 (* end of lemma zenon_L161_ *)
% 42.98/43.21 assert (zenon_L162_ : (~((op2 (op2 (e22) (e22)) (op2 (e22) (e22))) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> False).
% 42.98/43.21 do 0 intro. intros zenon_H229 zenon_H33.
% 42.98/43.21 cut (((op2 (e22) (e22)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H203].
% 42.98/43.21 cut (((op2 (e22) (e22)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H203].
% 42.98/43.21 congruence.
% 42.98/43.21 apply zenon_H203. apply sym_equal. exact zenon_H33.
% 42.98/43.21 apply zenon_H203. apply sym_equal. exact zenon_H33.
% 42.98/43.21 (* end of lemma zenon_L162_ *)
% 42.98/43.21 assert (zenon_L163_ : (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((op2 (e23) (e21)) = (e21)) -> ((e23) = (op2 (e22) (e22))) -> False).
% 42.98/43.21 do 0 intro. intros zenon_H22a zenon_H22b zenon_H22c zenon_H33.
% 42.98/43.21 cut (((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) = ((op2 (e23) (e21)) = (op2 (e23) (e23)))).
% 42.98/43.21 intro zenon_D_pnotp.
% 42.98/43.21 apply zenon_H22a.
% 42.98/43.21 rewrite <- zenon_D_pnotp.
% 42.98/43.21 exact zenon_H22b.
% 42.98/43.21 cut (((op2 (op2 (e22) (e22)) (op2 (e22) (e22))) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H229].
% 42.98/43.21 cut (((e21) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H22d].
% 42.98/43.21 congruence.
% 42.98/43.21 elim (classic ((op2 (e23) (e21)) = (op2 (e23) (e21)))); [ zenon_intro zenon_H22e | zenon_intro zenon_H22f ].
% 42.98/43.21 cut (((op2 (e23) (e21)) = (op2 (e23) (e21))) = ((e21) = (op2 (e23) (e21)))).
% 42.98/43.21 intro zenon_D_pnotp.
% 42.98/43.21 apply zenon_H22d.
% 42.98/43.21 rewrite <- zenon_D_pnotp.
% 42.98/43.21 exact zenon_H22e.
% 42.98/43.21 cut (((op2 (e23) (e21)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H22f].
% 42.98/43.21 cut (((op2 (e23) (e21)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H230].
% 42.98/43.21 congruence.
% 42.98/43.21 exact (zenon_H230 zenon_H22c).
% 42.98/43.21 apply zenon_H22f. apply refl_equal.
% 42.98/43.21 apply zenon_H22f. apply refl_equal.
% 42.98/43.21 apply (zenon_L162_); trivial.
% 42.98/43.21 (* end of lemma zenon_L163_ *)
% 42.98/43.21 assert (zenon_L164_ : (((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23)))))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((e23) = (op2 (e22) (e22))) -> False).
% 42.98/43.21 do 0 intro. intros zenon_H231 zenon_H22a zenon_H22b zenon_H33.
% 42.98/43.21 apply (zenon_and_s _ _ zenon_H231). zenon_intro zenon_H233. zenon_intro zenon_H232.
% 42.98/43.21 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_H22c. zenon_intro zenon_H21d.
% 42.98/43.21 apply (zenon_L163_); trivial.
% 42.98/43.21 (* end of lemma zenon_L164_ *)
% 42.98/43.21 assert (zenon_L165_ : (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((op2 (e21) (e22)) = (e20)) -> ((e23) = (op2 (e22) (e22))) -> False).
% 42.98/43.21 do 0 intro. intros zenon_H234 zenon_H2c zenon_H235 zenon_H33.
% 42.98/43.21 cut (((e20) = (op2 (op2 (e22) (e22)) (e22))) = ((op2 (e21) (e22)) = (op2 (e23) (e22)))).
% 42.98/43.21 intro zenon_D_pnotp.
% 42.98/43.21 apply zenon_H234.
% 42.98/43.21 rewrite <- zenon_D_pnotp.
% 42.98/43.21 exact zenon_H2c.
% 42.98/43.21 cut (((op2 (op2 (e22) (e22)) (e22)) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H202].
% 42.98/43.21 cut (((e20) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H236].
% 42.98/43.21 congruence.
% 42.98/43.21 elim (classic ((op2 (e21) (e22)) = (op2 (e21) (e22)))); [ zenon_intro zenon_H237 | zenon_intro zenon_H238 ].
% 42.98/43.21 cut (((op2 (e21) (e22)) = (op2 (e21) (e22))) = ((e20) = (op2 (e21) (e22)))).
% 42.98/43.21 intro zenon_D_pnotp.
% 42.98/43.21 apply zenon_H236.
% 42.98/43.21 rewrite <- zenon_D_pnotp.
% 42.98/43.21 exact zenon_H237.
% 42.98/43.21 cut (((op2 (e21) (e22)) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H238].
% 42.98/43.21 cut (((op2 (e21) (e22)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H239].
% 42.98/43.21 congruence.
% 42.98/43.21 exact (zenon_H239 zenon_H235).
% 42.98/43.21 apply zenon_H238. apply refl_equal.
% 42.98/43.21 apply zenon_H238. apply refl_equal.
% 42.98/43.21 apply (zenon_L152_); trivial.
% 42.98/43.21 (* end of lemma zenon_L165_ *)
% 42.98/43.21 assert (zenon_L166_ : (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e20) (e22)) = (e22)) -> ((op2 (e21) (e22)) = (e22)) -> False).
% 42.98/43.21 do 0 intro. intros zenon_H23a zenon_H23b zenon_H23c.
% 42.98/43.21 cut (((op2 (e20) (e22)) = (e22)) = ((op2 (e20) (e22)) = (op2 (e21) (e22)))).
% 42.98/43.21 intro zenon_D_pnotp.
% 42.98/43.21 apply zenon_H23a.
% 42.98/43.21 rewrite <- zenon_D_pnotp.
% 42.98/43.21 exact zenon_H23b.
% 42.98/43.21 cut (((e22) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H23d].
% 42.98/43.21 cut (((op2 (e20) (e22)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H8a].
% 42.98/43.21 congruence.
% 42.98/43.21 apply zenon_H8a. apply refl_equal.
% 42.98/43.21 apply zenon_H23d. apply sym_equal. exact zenon_H23c.
% 42.98/43.21 (* end of lemma zenon_L166_ *)
% 42.98/43.21 assert (zenon_L167_ : (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((e23) = (op2 (e22) (e22))) -> ((op2 (e21) (e22)) = (e23)) -> False).
% 42.98/43.21 do 0 intro. intros zenon_H23e zenon_H33 zenon_H23f.
% 42.98/43.21 cut (((e23) = (op2 (e22) (e22))) = ((op2 (e21) (e22)) = (op2 (e22) (e22)))).
% 42.98/43.21 intro zenon_D_pnotp.
% 42.98/43.21 apply zenon_H23e.
% 42.98/43.21 rewrite <- zenon_D_pnotp.
% 42.98/43.21 exact zenon_H33.
% 42.98/43.21 cut (((op2 (e22) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H87].
% 42.98/43.21 cut (((e23) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H240].
% 42.98/43.21 congruence.
% 42.98/43.21 elim (classic ((op2 (e21) (e22)) = (op2 (e21) (e22)))); [ zenon_intro zenon_H237 | zenon_intro zenon_H238 ].
% 42.98/43.21 cut (((op2 (e21) (e22)) = (op2 (e21) (e22))) = ((e23) = (op2 (e21) (e22)))).
% 42.98/43.21 intro zenon_D_pnotp.
% 42.98/43.21 apply zenon_H240.
% 42.98/43.21 rewrite <- zenon_D_pnotp.
% 42.98/43.21 exact zenon_H237.
% 42.98/43.21 cut (((op2 (e21) (e22)) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H238].
% 42.98/43.21 cut (((op2 (e21) (e22)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H241].
% 42.98/43.21 congruence.
% 42.98/43.21 exact (zenon_H241 zenon_H23f).
% 42.98/43.21 apply zenon_H238. apply refl_equal.
% 42.98/43.21 apply zenon_H238. apply refl_equal.
% 42.98/43.21 apply zenon_H87. apply refl_equal.
% 42.98/43.21 (* end of lemma zenon_L167_ *)
% 42.98/43.21 assert (zenon_L168_ : (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (e21))) -> ((op2 (e20) (e22)) = (e22)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((e23) = (op2 (e22) (e22))) -> False).
% 42.98/43.21 do 0 intro. intros zenon_H242 zenon_H2c zenon_H234 zenon_H226 zenon_H23b zenon_H23a zenon_H23e zenon_H33.
% 42.98/43.21 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H235 | zenon_intro zenon_H243 ].
% 42.98/43.21 apply (zenon_L165_); trivial.
% 42.98/43.21 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H228 | zenon_intro zenon_H244 ].
% 42.98/43.21 exact (zenon_H226 zenon_H228).
% 42.98/43.21 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H23c | zenon_intro zenon_H23f ].
% 42.98/43.21 apply (zenon_L166_); trivial.
% 42.98/43.21 apply (zenon_L167_); trivial.
% 42.98/43.21 (* end of lemma zenon_L168_ *)
% 42.98/43.21 assert (zenon_L169_ : (((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23)))))))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (e21))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((e23) = (op2 (e22) (e22))) -> False).
% 42.98/43.21 do 0 intro. intros zenon_H245 zenon_H242 zenon_H2c zenon_H234 zenon_H226 zenon_H23a zenon_H23e zenon_H33.
% 42.98/43.21 apply (zenon_and_s _ _ zenon_H245). zenon_intro zenon_H247. zenon_intro zenon_H246.
% 42.98/43.21 apply (zenon_and_s _ _ zenon_H246). zenon_intro zenon_H23b. zenon_intro zenon_H248.
% 42.98/43.21 apply (zenon_L168_); trivial.
% 42.98/43.21 (* end of lemma zenon_L169_ *)
% 42.98/43.21 assert (zenon_L170_ : (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e21) (e20)) = (e20)) -> ((op2 (e22) (e20)) = (e20)) -> False).
% 42.98/43.21 do 0 intro. intros zenon_H249 zenon_H99 zenon_H24a.
% 42.98/43.21 cut (((op2 (e21) (e20)) = (e20)) = ((op2 (e21) (e20)) = (op2 (e22) (e20)))).
% 42.98/43.21 intro zenon_D_pnotp.
% 42.98/43.21 apply zenon_H249.
% 42.98/43.21 rewrite <- zenon_D_pnotp.
% 42.98/43.21 exact zenon_H99.
% 42.98/43.21 cut (((e20) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H24b].
% 42.98/43.21 cut (((op2 (e21) (e20)) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H24c].
% 42.98/43.21 congruence.
% 42.98/43.21 apply zenon_H24c. apply refl_equal.
% 42.98/43.21 apply zenon_H24b. apply sym_equal. exact zenon_H24a.
% 42.98/43.21 (* end of lemma zenon_L170_ *)
% 42.98/43.21 assert (zenon_L171_ : (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e20) (e21)) = (e20)) -> ((op2 (e22) (e21)) = (e20)) -> False).
% 42.98/43.21 do 0 intro. intros zenon_H24d zenon_H7e zenon_H24e.
% 42.98/43.21 cut (((op2 (e20) (e21)) = (e20)) = ((op2 (e20) (e21)) = (op2 (e22) (e21)))).
% 42.98/43.21 intro zenon_D_pnotp.
% 42.98/43.21 apply zenon_H24d.
% 42.98/43.21 rewrite <- zenon_D_pnotp.
% 42.98/43.21 exact zenon_H7e.
% 42.98/43.21 cut (((e20) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H24f].
% 42.98/43.21 cut (((op2 (e20) (e21)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H250].
% 42.98/43.21 congruence.
% 42.98/43.21 apply zenon_H250. apply refl_equal.
% 42.98/43.21 apply zenon_H24f. apply sym_equal. exact zenon_H24e.
% 42.98/43.21 (* end of lemma zenon_L171_ *)
% 42.98/43.21 assert (zenon_L172_ : (~((e23) = (e23))) -> False).
% 42.98/43.21 do 0 intro. intros zenon_H82.
% 42.98/43.21 apply zenon_H82. apply refl_equal.
% 42.98/43.21 (* end of lemma zenon_L172_ *)
% 42.98/43.21 assert (zenon_L173_ : ((e23) = (op2 (e22) (e22))) -> ((op2 (e22) (e22)) = (e20)) -> (~((e20) = (e23))) -> False).
% 42.98/43.21 do 0 intro. intros zenon_H33 zenon_H251 zenon_H80.
% 42.98/43.21 elim (classic ((e23) = (e23))); [ zenon_intro zenon_H81 | zenon_intro zenon_H82 ].
% 42.98/43.21 cut (((e23) = (e23)) = ((e20) = (e23))).
% 42.98/43.21 intro zenon_D_pnotp.
% 42.98/43.21 apply zenon_H80.
% 42.98/43.21 rewrite <- zenon_D_pnotp.
% 42.98/43.21 exact zenon_H81.
% 42.98/43.21 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H82].
% 42.98/43.21 cut (((e23) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H83].
% 42.98/43.21 congruence.
% 42.98/43.21 cut (((e23) = (op2 (e22) (e22))) = ((e23) = (e20))).
% 42.98/43.21 intro zenon_D_pnotp.
% 42.98/43.21 apply zenon_H83.
% 42.98/43.21 rewrite <- zenon_D_pnotp.
% 42.98/43.21 exact zenon_H33.
% 42.98/43.21 cut (((op2 (e22) (e22)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H252].
% 42.98/43.21 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H82].
% 42.98/43.21 congruence.
% 42.98/43.21 apply zenon_H82. apply refl_equal.
% 42.98/43.21 exact (zenon_H252 zenon_H251).
% 42.98/43.21 apply zenon_H82. apply refl_equal.
% 42.98/43.21 apply zenon_H82. apply refl_equal.
% 42.98/43.21 (* end of lemma zenon_L173_ *)
% 42.98/43.21 assert (zenon_L174_ : (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e20) (e23)) = (e20)) -> ((op2 (e22) (e23)) = (e20)) -> False).
% 42.98/43.21 do 0 intro. intros zenon_H253 zenon_H212 zenon_H254.
% 42.98/43.21 cut (((op2 (e20) (e23)) = (e20)) = ((op2 (e20) (e23)) = (op2 (e22) (e23)))).
% 42.98/43.21 intro zenon_D_pnotp.
% 42.98/43.21 apply zenon_H253.
% 42.98/43.21 rewrite <- zenon_D_pnotp.
% 42.98/43.21 exact zenon_H212.
% 42.98/43.21 cut (((e20) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H255].
% 42.98/43.21 cut (((op2 (e20) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H95].
% 42.98/43.21 congruence.
% 42.98/43.21 apply zenon_H95. apply refl_equal.
% 42.98/43.21 apply zenon_H255. apply sym_equal. exact zenon_H254.
% 42.98/43.21 (* end of lemma zenon_L174_ *)
% 42.98/43.21 assert (zenon_L175_ : (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((op2 (e20) (e23)) = (e21)) -> ((e23) = (op2 (e22) (e22))) -> False).
% 42.98/43.21 do 0 intro. intros zenon_H256 zenon_H22b zenon_H257 zenon_H33.
% 42.98/43.21 cut (((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) = ((op2 (e20) (e23)) = (op2 (e23) (e23)))).
% 42.98/43.21 intro zenon_D_pnotp.
% 42.98/43.21 apply zenon_H256.
% 42.98/43.21 rewrite <- zenon_D_pnotp.
% 42.98/43.21 exact zenon_H22b.
% 42.98/43.21 cut (((op2 (op2 (e22) (e22)) (op2 (e22) (e22))) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H229].
% 42.98/43.21 cut (((e21) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H258].
% 42.98/43.21 congruence.
% 42.98/43.21 elim (classic ((op2 (e20) (e23)) = (op2 (e20) (e23)))); [ zenon_intro zenon_H94 | zenon_intro zenon_H95 ].
% 42.98/43.21 cut (((op2 (e20) (e23)) = (op2 (e20) (e23))) = ((e21) = (op2 (e20) (e23)))).
% 42.98/43.21 intro zenon_D_pnotp.
% 42.98/43.21 apply zenon_H258.
% 42.98/43.21 rewrite <- zenon_D_pnotp.
% 42.98/43.21 exact zenon_H94.
% 42.98/43.21 cut (((op2 (e20) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H95].
% 42.98/43.21 cut (((op2 (e20) (e23)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H259].
% 42.98/43.21 congruence.
% 42.98/43.21 exact (zenon_H259 zenon_H257).
% 42.98/43.21 apply zenon_H95. apply refl_equal.
% 42.98/43.21 apply zenon_H95. apply refl_equal.
% 42.98/43.21 apply (zenon_L162_); trivial.
% 42.98/43.21 (* end of lemma zenon_L175_ *)
% 42.98/43.21 assert (zenon_L176_ : (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((op2 (e20) (e20)) = (e22)) -> ((op2 (e20) (e23)) = (e22)) -> False).
% 42.98/43.21 do 0 intro. intros zenon_H93 zenon_H25a zenon_H25b.
% 42.98/43.21 cut (((op2 (e20) (e20)) = (e22)) = ((op2 (e20) (e20)) = (op2 (e20) (e23)))).
% 42.98/43.21 intro zenon_D_pnotp.
% 42.98/43.21 apply zenon_H93.
% 42.98/43.21 rewrite <- zenon_D_pnotp.
% 42.98/43.21 exact zenon_H25a.
% 42.98/43.21 cut (((e22) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H25c].
% 42.98/43.21 cut (((op2 (e20) (e20)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H8e].
% 42.98/43.21 congruence.
% 42.98/43.21 apply zenon_H8e. apply refl_equal.
% 42.98/43.21 apply zenon_H25c. apply sym_equal. exact zenon_H25b.
% 42.98/43.21 (* end of lemma zenon_L176_ *)
% 42.98/43.21 assert (zenon_L177_ : (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e20) (e23)) = (e23)) -> ((op2 (e21) (e23)) = (e23)) -> False).
% 42.98/43.21 do 0 intro. intros zenon_H25d zenon_H92 zenon_H25e.
% 42.98/43.21 cut (((op2 (e20) (e23)) = (e23)) = ((op2 (e20) (e23)) = (op2 (e21) (e23)))).
% 42.98/43.21 intro zenon_D_pnotp.
% 42.98/43.21 apply zenon_H25d.
% 42.98/43.21 rewrite <- zenon_D_pnotp.
% 42.98/43.21 exact zenon_H92.
% 42.98/43.21 cut (((e23) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H25f].
% 42.98/43.21 cut (((op2 (e20) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H95].
% 42.98/43.21 congruence.
% 42.98/43.21 apply zenon_H95. apply refl_equal.
% 42.98/43.21 apply zenon_H25f. apply sym_equal. exact zenon_H25e.
% 42.98/43.21 (* end of lemma zenon_L177_ *)
% 42.98/43.21 assert (zenon_L178_ : (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> ((op2 (e22) (e23)) = (e20)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e20)) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e21) (e23)) = (e23)) -> False).
% 42.98/43.21 do 0 intro. intros zenon_H260 zenon_H254 zenon_H253 zenon_H33 zenon_H22b zenon_H256 zenon_H25a zenon_H93 zenon_H25d zenon_H25e.
% 42.98/43.21 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H212 | zenon_intro zenon_H261 ].
% 42.98/43.21 apply (zenon_L174_); trivial.
% 42.98/43.21 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H257 | zenon_intro zenon_H262 ].
% 42.98/43.21 apply (zenon_L175_); trivial.
% 42.98/43.21 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H25b | zenon_intro zenon_H92 ].
% 42.98/43.21 apply (zenon_L176_); trivial.
% 42.98/43.21 apply (zenon_L177_); trivial.
% 42.98/43.21 (* end of lemma zenon_L178_ *)
% 42.98/43.21 assert (zenon_L179_ : ((e23) = (op2 (e22) (e22))) -> ((op2 (e22) (e23)) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> False).
% 42.98/43.21 do 0 intro. intros zenon_H33 zenon_H263 zenon_H264.
% 42.98/43.21 elim (classic ((op2 (e22) (e23)) = (op2 (e22) (e23)))); [ zenon_intro zenon_H265 | zenon_intro zenon_H266 ].
% 42.98/43.21 cut (((op2 (e22) (e23)) = (op2 (e22) (e23))) = ((op2 (e22) (e22)) = (op2 (e22) (e23)))).
% 42.98/43.21 intro zenon_D_pnotp.
% 42.98/43.21 apply zenon_H264.
% 42.98/43.21 rewrite <- zenon_D_pnotp.
% 42.98/43.21 exact zenon_H265.
% 42.98/43.21 cut (((op2 (e22) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H266].
% 42.98/43.21 cut (((op2 (e22) (e23)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H267].
% 42.98/43.21 congruence.
% 42.98/43.21 cut (((e23) = (op2 (e22) (e22))) = ((op2 (e22) (e23)) = (op2 (e22) (e22)))).
% 42.98/43.21 intro zenon_D_pnotp.
% 42.98/43.21 apply zenon_H267.
% 42.98/43.21 rewrite <- zenon_D_pnotp.
% 42.98/43.21 exact zenon_H33.
% 42.98/43.21 cut (((op2 (e22) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H87].
% 42.98/43.21 cut (((e23) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H268].
% 42.98/43.21 congruence.
% 42.98/43.21 elim (classic ((op2 (e22) (e23)) = (op2 (e22) (e23)))); [ zenon_intro zenon_H265 | zenon_intro zenon_H266 ].
% 42.98/43.21 cut (((op2 (e22) (e23)) = (op2 (e22) (e23))) = ((e23) = (op2 (e22) (e23)))).
% 42.98/43.21 intro zenon_D_pnotp.
% 42.98/43.21 apply zenon_H268.
% 42.98/43.21 rewrite <- zenon_D_pnotp.
% 42.98/43.21 exact zenon_H265.
% 42.98/43.21 cut (((op2 (e22) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H266].
% 42.98/43.21 cut (((op2 (e22) (e23)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H269].
% 42.98/43.21 congruence.
% 42.98/43.21 exact (zenon_H269 zenon_H263).
% 42.98/43.21 apply zenon_H266. apply refl_equal.
% 42.98/43.21 apply zenon_H266. apply refl_equal.
% 42.98/43.21 apply zenon_H87. apply refl_equal.
% 42.98/43.21 apply zenon_H266. apply refl_equal.
% 42.98/43.21 apply zenon_H266. apply refl_equal.
% 42.98/43.21 (* end of lemma zenon_L179_ *)
% 42.98/43.21 assert (zenon_L180_ : (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((op2 (e23) (e20)) = (e21)) -> ((e23) = (op2 (e22) (e22))) -> False).
% 42.98/43.21 do 0 intro. intros zenon_H26a zenon_H22b zenon_H26b zenon_H33.
% 42.98/43.21 cut (((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) = ((op2 (e23) (e20)) = (op2 (e23) (e23)))).
% 42.98/43.21 intro zenon_D_pnotp.
% 42.98/43.21 apply zenon_H26a.
% 42.98/43.21 rewrite <- zenon_D_pnotp.
% 42.98/43.21 exact zenon_H22b.
% 42.98/43.21 cut (((op2 (op2 (e22) (e22)) (op2 (e22) (e22))) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H229].
% 42.98/43.21 cut (((e21) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H26c].
% 42.98/43.21 congruence.
% 42.98/43.21 elim (classic ((op2 (e23) (e20)) = (op2 (e23) (e20)))); [ zenon_intro zenon_H20d | zenon_intro zenon_H20e ].
% 42.98/43.21 cut (((op2 (e23) (e20)) = (op2 (e23) (e20))) = ((e21) = (op2 (e23) (e20)))).
% 42.98/43.21 intro zenon_D_pnotp.
% 42.98/43.21 apply zenon_H26c.
% 42.98/43.21 rewrite <- zenon_D_pnotp.
% 42.98/43.21 exact zenon_H20d.
% 42.98/43.21 cut (((op2 (e23) (e20)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H20e].
% 42.98/43.21 cut (((op2 (e23) (e20)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H26d].
% 42.98/43.21 congruence.
% 42.98/43.21 exact (zenon_H26d zenon_H26b).
% 42.98/43.21 apply zenon_H20e. apply refl_equal.
% 42.98/43.21 apply zenon_H20e. apply refl_equal.
% 42.98/43.21 apply (zenon_L162_); trivial.
% 42.98/43.21 (* end of lemma zenon_L180_ *)
% 42.98/43.21 assert (zenon_L181_ : (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((op2 (e23) (e22)) = (e21)) -> ((e23) = (op2 (e22) (e22))) -> False).
% 42.98/43.21 do 0 intro. intros zenon_H26e zenon_H22b zenon_H26f zenon_H33.
% 42.98/43.21 cut (((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) = ((op2 (e23) (e22)) = (op2 (e23) (e23)))).
% 42.98/43.21 intro zenon_D_pnotp.
% 42.98/43.21 apply zenon_H26e.
% 42.98/43.21 rewrite <- zenon_D_pnotp.
% 42.98/43.21 exact zenon_H22b.
% 42.98/43.21 cut (((op2 (op2 (e22) (e22)) (op2 (e22) (e22))) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H229].
% 42.98/43.21 cut (((e21) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H270].
% 42.98/43.21 congruence.
% 42.98/43.21 elim (classic ((op2 (e23) (e22)) = (op2 (e23) (e22)))); [ zenon_intro zenon_H271 | zenon_intro zenon_H272 ].
% 42.98/43.21 cut (((op2 (e23) (e22)) = (op2 (e23) (e22))) = ((e21) = (op2 (e23) (e22)))).
% 42.98/43.21 intro zenon_D_pnotp.
% 42.98/43.21 apply zenon_H270.
% 42.98/43.21 rewrite <- zenon_D_pnotp.
% 42.98/43.21 exact zenon_H271.
% 42.98/43.21 cut (((op2 (e23) (e22)) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H272].
% 42.98/43.21 cut (((op2 (e23) (e22)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H273].
% 42.98/43.21 congruence.
% 42.98/43.21 exact (zenon_H273 zenon_H26f).
% 42.98/43.21 apply zenon_H272. apply refl_equal.
% 42.98/43.21 apply zenon_H272. apply refl_equal.
% 42.98/43.21 apply (zenon_L162_); trivial.
% 42.98/43.21 (* end of lemma zenon_L181_ *)
% 42.98/43.21 assert (zenon_L182_ : ((op2 (e23) (e23)) = (e21)) -> ((op2 (e23) (e23)) = (e23)) -> (~((e21) = (e23))) -> False).
% 42.98/43.21 do 0 intro. intros zenon_H274 zenon_H275 zenon_H276.
% 42.98/43.21 elim (classic ((e23) = (e23))); [ zenon_intro zenon_H81 | zenon_intro zenon_H82 ].
% 42.98/43.21 cut (((e23) = (e23)) = ((e21) = (e23))).
% 42.98/43.21 intro zenon_D_pnotp.
% 42.98/43.21 apply zenon_H276.
% 42.98/43.21 rewrite <- zenon_D_pnotp.
% 42.98/43.21 exact zenon_H81.
% 42.98/43.21 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H82].
% 42.98/43.21 cut (((e23) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H277].
% 42.98/43.21 congruence.
% 42.98/43.21 cut (((op2 (e23) (e23)) = (e21)) = ((e23) = (e21))).
% 42.98/43.21 intro zenon_D_pnotp.
% 42.98/43.21 apply zenon_H277.
% 42.98/43.21 rewrite <- zenon_D_pnotp.
% 42.98/43.21 exact zenon_H274.
% 42.98/43.21 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H217].
% 42.98/43.21 cut (((op2 (e23) (e23)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H278].
% 42.98/43.21 congruence.
% 42.98/43.21 exact (zenon_H278 zenon_H275).
% 42.98/43.21 apply zenon_H217. apply refl_equal.
% 42.98/43.21 apply zenon_H82. apply refl_equal.
% 42.98/43.21 apply zenon_H82. apply refl_equal.
% 42.98/43.21 (* end of lemma zenon_L182_ *)
% 42.98/43.21 assert (zenon_L183_ : (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e23)) = (e23)) -> (~((e21) = (e23))) -> False).
% 42.98/43.21 do 0 intro. intros zenon_H279 zenon_H26a zenon_H22a zenon_H33 zenon_H22b zenon_H26e zenon_H275 zenon_H276.
% 42.98/43.21 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H26b | zenon_intro zenon_H27a ].
% 42.98/43.21 apply (zenon_L180_); trivial.
% 42.98/43.21 apply (zenon_or_s _ _ zenon_H27a); [ zenon_intro zenon_H22c | zenon_intro zenon_H27b ].
% 42.98/43.21 apply (zenon_L163_); trivial.
% 42.98/43.21 apply (zenon_or_s _ _ zenon_H27b); [ zenon_intro zenon_H26f | zenon_intro zenon_H274 ].
% 42.98/43.21 apply (zenon_L181_); trivial.
% 42.98/43.21 apply (zenon_L182_); trivial.
% 42.98/43.21 (* end of lemma zenon_L183_ *)
% 42.98/43.21 assert (zenon_L184_ : (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((e21) = (e23))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e20)) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> ((op2 (e20) (e21)) = (e20)) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((e20) = (e23))) -> ((op2 (e21) (e20)) = (e20)) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (e23))) -> False).
% 42.98/43.21 do 0 intro. intros zenon_Ha8 zenon_H276 zenon_H26e zenon_H22b zenon_H22a zenon_H26a zenon_H279 zenon_H264 zenon_H260 zenon_H253 zenon_H256 zenon_H25a zenon_H25d zenon_H27c zenon_H24d zenon_H249 zenon_H27d zenon_H7e zenon_H85 zenon_Ha2 zenon_H93 zenon_H80 zenon_H99 zenon_H33 zenon_H9c zenon_Ha3.
% 42.98/43.21 apply (zenon_or_s _ _ zenon_Ha8); [ zenon_intro zenon_H32 | zenon_intro zenon_Haa ].
% 42.98/43.21 apply (zenon_or_s _ _ zenon_H27d); [ zenon_intro zenon_H24a | zenon_intro zenon_H27e ].
% 42.98/43.21 apply (zenon_L170_); trivial.
% 42.98/43.21 apply (zenon_or_s _ _ zenon_H27e); [ zenon_intro zenon_H24e | zenon_intro zenon_H27f ].
% 42.98/43.21 apply (zenon_L171_); trivial.
% 42.98/43.21 apply (zenon_or_s _ _ zenon_H27f); [ zenon_intro zenon_H251 | zenon_intro zenon_H254 ].
% 42.98/43.21 apply (zenon_L173_); trivial.
% 42.98/43.21 apply (zenon_or_s _ _ zenon_H27c); [ zenon_intro zenon_H92 | zenon_intro zenon_H280 ].
% 42.98/43.21 apply (zenon_L28_); trivial.
% 42.98/43.21 apply (zenon_or_s _ _ zenon_H280); [ zenon_intro zenon_H25e | zenon_intro zenon_H281 ].
% 42.98/43.21 apply (zenon_L178_); trivial.
% 42.98/43.21 apply (zenon_or_s _ _ zenon_H281); [ zenon_intro zenon_H263 | zenon_intro zenon_H275 ].
% 42.98/43.21 apply (zenon_L179_); trivial.
% 42.98/43.21 apply (zenon_L183_); trivial.
% 42.98/43.21 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7f | zenon_intro zenon_Hab ].
% 42.98/43.21 apply (zenon_L25_); trivial.
% 42.98/43.21 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H86 | zenon_intro zenon_H92 ].
% 42.98/43.21 apply (zenon_L26_); trivial.
% 42.98/43.21 apply (zenon_L31_); trivial.
% 42.98/43.21 (* end of lemma zenon_L184_ *)
% 42.98/43.21 assert (zenon_L185_ : ((op2 (e22) (e21)) = (e22)) -> ((op2 (e20) (e21)) = (e22)) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> False).
% 42.98/43.21 do 0 intro. intros zenon_H282 zenon_H283 zenon_H24d.
% 42.98/43.21 elim (classic ((op2 (e22) (e21)) = (op2 (e22) (e21)))); [ zenon_intro zenon_H284 | zenon_intro zenon_H285 ].
% 42.98/43.21 cut (((op2 (e22) (e21)) = (op2 (e22) (e21))) = ((op2 (e20) (e21)) = (op2 (e22) (e21)))).
% 42.98/43.21 intro zenon_D_pnotp.
% 42.98/43.21 apply zenon_H24d.
% 42.98/43.21 rewrite <- zenon_D_pnotp.
% 42.98/43.21 exact zenon_H284.
% 42.98/43.21 cut (((op2 (e22) (e21)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H285].
% 42.98/43.21 cut (((op2 (e22) (e21)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H286].
% 42.98/43.21 congruence.
% 42.98/43.21 cut (((op2 (e22) (e21)) = (e22)) = ((op2 (e22) (e21)) = (op2 (e20) (e21)))).
% 42.98/43.21 intro zenon_D_pnotp.
% 42.98/43.21 apply zenon_H286.
% 42.98/43.21 rewrite <- zenon_D_pnotp.
% 42.98/43.21 exact zenon_H282.
% 42.98/43.21 cut (((e22) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H287].
% 42.98/43.21 cut (((op2 (e22) (e21)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H285].
% 42.98/43.21 congruence.
% 42.98/43.21 apply zenon_H285. apply refl_equal.
% 42.98/43.21 apply zenon_H287. apply sym_equal. exact zenon_H283.
% 42.98/43.21 apply zenon_H285. apply refl_equal.
% 42.98/43.21 apply zenon_H285. apply refl_equal.
% 42.98/43.21 (* end of lemma zenon_L185_ *)
% 42.98/43.21 assert (zenon_L186_ : (~((e22) = (e23))) -> ((op2 (e20) (e23)) = (e23)) -> ((op2 (e20) (e23)) = (e22)) -> False).
% 42.98/43.21 do 0 intro. intros zenon_H288 zenon_H92 zenon_H25b.
% 42.98/43.21 cut (((op2 (e20) (e23)) = (e23)) = ((e22) = (e23))).
% 42.98/43.21 intro zenon_D_pnotp.
% 42.98/43.21 apply zenon_H288.
% 42.98/43.21 rewrite <- zenon_D_pnotp.
% 42.98/43.21 exact zenon_H92.
% 42.98/43.21 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H82].
% 42.98/43.21 cut (((op2 (e20) (e23)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H289].
% 42.98/43.21 congruence.
% 42.98/43.21 exact (zenon_H289 zenon_H25b).
% 42.98/43.21 apply zenon_H82. apply refl_equal.
% 42.98/43.21 (* end of lemma zenon_L186_ *)
% 42.98/43.21 assert (zenon_L187_ : (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (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))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e10) (e11)) = (e10)) -> (~((e10) = (e13))) -> (~((h3 (op1 (e10) (e10))) = (op2 (h3 (e10)) (h3 (e10))))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e20) = (e23))) -> ((op2 (e20) (e21)) = (e20)) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((e22) = (e23))) -> ((op2 (e20) (e23)) = (e22)) -> False).
% 42.98/43.21 do 0 intro. intros zenon_Ha8 zenon_H73 zenon_H6e zenon_H60 zenon_H5f zenon_H6f zenon_H66 zenon_H6a zenon_H48 zenon_H56 zenon_H57 zenon_H4f zenon_H50 zenon_H78 zenon_H47 zenon_H40 zenon_H42 zenon_H2f zenon_H30 zenon_H2b zenon_H2c zenon_H7b zenon_H80 zenon_H7e zenon_H33 zenon_H85 zenon_H288 zenon_H25b.
% 42.98/43.21 apply (zenon_or_s _ _ zenon_Ha8); [ zenon_intro zenon_H32 | zenon_intro zenon_Haa ].
% 42.98/43.21 apply (zenon_L24_); trivial.
% 42.98/43.21 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7f | zenon_intro zenon_Hab ].
% 42.98/43.21 apply (zenon_L25_); trivial.
% 42.98/43.21 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H86 | zenon_intro zenon_H92 ].
% 42.98/43.21 apply (zenon_L26_); trivial.
% 42.98/43.21 apply (zenon_L186_); trivial.
% 42.98/43.21 (* end of lemma zenon_L187_ *)
% 42.98/43.21 assert (zenon_L188_ : (~((op2 (e22) (op2 (e22) (e20))) = (e20))) -> ((op2 (e22) (e20)) = (e20)) -> False).
% 42.98/43.21 do 0 intro. intros zenon_H28a zenon_H24a.
% 42.98/43.21 cut (((op2 (e22) (e20)) = (e20)) = ((op2 (e22) (op2 (e22) (e20))) = (e20))).
% 42.98/43.21 intro zenon_D_pnotp.
% 42.98/43.21 apply zenon_H28a.
% 42.98/43.21 rewrite <- zenon_D_pnotp.
% 42.98/43.21 exact zenon_H24a.
% 42.98/43.21 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H12].
% 42.98/43.21 cut (((op2 (e22) (e20)) = (op2 (e22) (op2 (e22) (e20))))); [idtac | apply NNPP; zenon_intro zenon_H28b].
% 42.98/43.21 congruence.
% 42.98/43.21 elim (classic ((op2 (e22) (op2 (e22) (e20))) = (op2 (e22) (op2 (e22) (e20))))); [ zenon_intro zenon_H28c | zenon_intro zenon_H28d ].
% 42.98/43.21 cut (((op2 (e22) (op2 (e22) (e20))) = (op2 (e22) (op2 (e22) (e20)))) = ((op2 (e22) (e20)) = (op2 (e22) (op2 (e22) (e20))))).
% 42.98/43.21 intro zenon_D_pnotp.
% 42.98/43.21 apply zenon_H28b.
% 42.98/43.21 rewrite <- zenon_D_pnotp.
% 42.98/43.21 exact zenon_H28c.
% 42.98/43.21 cut (((op2 (e22) (op2 (e22) (e20))) = (op2 (e22) (op2 (e22) (e20))))); [idtac | apply NNPP; zenon_intro zenon_H28d].
% 42.98/43.21 cut (((op2 (e22) (op2 (e22) (e20))) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H28e].
% 42.98/43.21 congruence.
% 42.98/43.21 cut (((op2 (e22) (e20)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H28f].
% 42.98/43.21 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H201].
% 42.98/43.21 congruence.
% 42.98/43.21 apply zenon_H201. apply refl_equal.
% 42.98/43.21 exact (zenon_H28f zenon_H24a).
% 42.98/43.21 apply zenon_H28d. apply refl_equal.
% 42.98/43.21 apply zenon_H28d. apply refl_equal.
% 42.98/43.21 apply zenon_H12. apply refl_equal.
% 42.98/43.21 (* end of lemma zenon_L188_ *)
% 42.98/43.21 assert (zenon_L189_ : (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((op2 (e22) (e23)) = (e21)) -> ((e23) = (op2 (e22) (e22))) -> False).
% 42.98/43.21 do 0 intro. intros zenon_H290 zenon_H22b zenon_H291 zenon_H33.
% 42.98/43.21 cut (((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) = ((op2 (e22) (e23)) = (op2 (e23) (e23)))).
% 42.98/43.21 intro zenon_D_pnotp.
% 42.98/43.21 apply zenon_H290.
% 42.98/43.21 rewrite <- zenon_D_pnotp.
% 42.98/43.21 exact zenon_H22b.
% 42.98/43.21 cut (((op2 (op2 (e22) (e22)) (op2 (e22) (e22))) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H229].
% 42.98/43.21 cut (((e21) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H292].
% 42.98/43.21 congruence.
% 42.98/43.21 elim (classic ((op2 (e22) (e23)) = (op2 (e22) (e23)))); [ zenon_intro zenon_H265 | zenon_intro zenon_H266 ].
% 42.98/43.21 cut (((op2 (e22) (e23)) = (op2 (e22) (e23))) = ((e21) = (op2 (e22) (e23)))).
% 42.98/43.21 intro zenon_D_pnotp.
% 42.98/43.21 apply zenon_H292.
% 42.98/43.21 rewrite <- zenon_D_pnotp.
% 42.98/43.21 exact zenon_H265.
% 42.98/43.21 cut (((op2 (e22) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H266].
% 42.98/43.21 cut (((op2 (e22) (e23)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H293].
% 42.98/43.21 congruence.
% 42.98/43.21 exact (zenon_H293 zenon_H291).
% 42.98/43.21 apply zenon_H266. apply refl_equal.
% 42.98/43.21 apply zenon_H266. apply refl_equal.
% 42.98/43.21 apply (zenon_L162_); trivial.
% 42.98/43.21 (* end of lemma zenon_L189_ *)
% 42.98/43.21 assert (zenon_L190_ : (~((op2 (e22) (e22)) = (op2 (e22) (op2 (e22) (e23))))) -> ((op2 (e22) (e23)) = (e22)) -> False).
% 42.98/43.21 do 0 intro. intros zenon_H294 zenon_H295.
% 42.98/43.21 cut (((e22) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H296].
% 42.98/43.21 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H201].
% 42.98/43.21 congruence.
% 42.98/43.21 apply zenon_H201. apply refl_equal.
% 42.98/43.21 apply zenon_H296. apply sym_equal. exact zenon_H295.
% 42.98/43.21 (* end of lemma zenon_L190_ *)
% 42.98/43.21 assert (zenon_L191_ : ((e23) = (op2 (e22) (e22))) -> ((op2 (e22) (e23)) = (e22)) -> (~((op2 (e22) (op2 (e22) (e23))) = (e23))) -> False).
% 42.98/43.21 do 0 intro. intros zenon_H33 zenon_H295 zenon_H297.
% 42.98/43.21 elim (classic ((e23) = (e23))); [ zenon_intro zenon_H81 | zenon_intro zenon_H82 ].
% 42.98/43.21 cut (((e23) = (e23)) = ((op2 (e22) (op2 (e22) (e23))) = (e23))).
% 42.98/43.21 intro zenon_D_pnotp.
% 42.98/43.21 apply zenon_H297.
% 42.98/43.21 rewrite <- zenon_D_pnotp.
% 42.98/43.21 exact zenon_H81.
% 42.98/43.21 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H82].
% 42.98/43.21 cut (((e23) = (op2 (e22) (op2 (e22) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H298].
% 42.98/43.21 congruence.
% 42.98/43.21 cut (((e23) = (op2 (e22) (e22))) = ((e23) = (op2 (e22) (op2 (e22) (e23))))).
% 42.98/43.21 intro zenon_D_pnotp.
% 42.98/43.21 apply zenon_H298.
% 42.98/43.21 rewrite <- zenon_D_pnotp.
% 42.98/43.21 exact zenon_H33.
% 42.98/43.21 cut (((op2 (e22) (e22)) = (op2 (e22) (op2 (e22) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H294].
% 42.98/43.21 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H82].
% 42.98/43.21 congruence.
% 42.98/43.21 apply zenon_H82. apply refl_equal.
% 42.98/43.21 apply (zenon_L190_); trivial.
% 42.98/43.21 apply zenon_H82. apply refl_equal.
% 42.98/43.21 apply zenon_H82. apply refl_equal.
% 42.98/43.21 (* end of lemma zenon_L191_ *)
% 42.98/43.21 assert (zenon_L192_ : (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> ((op2 (e20) (e23)) = (e20)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (op2 (e22) (e23))) = (e23))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> False).
% 42.98/43.21 do 0 intro. intros zenon_H299 zenon_H212 zenon_H253 zenon_H22b zenon_H290 zenon_H297 zenon_H33 zenon_H264.
% 42.98/43.21 apply (zenon_or_s _ _ zenon_H299); [ zenon_intro zenon_H254 | zenon_intro zenon_H29a ].
% 42.98/43.21 apply (zenon_L174_); trivial.
% 42.98/43.21 apply (zenon_or_s _ _ zenon_H29a); [ zenon_intro zenon_H291 | zenon_intro zenon_H29b ].
% 42.98/43.21 apply (zenon_L189_); trivial.
% 42.98/43.21 apply (zenon_or_s _ _ zenon_H29b); [ zenon_intro zenon_H295 | zenon_intro zenon_H263 ].
% 42.98/43.21 apply (zenon_L191_); trivial.
% 42.98/43.21 apply (zenon_L179_); trivial.
% 42.98/43.21 (* end of lemma zenon_L192_ *)
% 42.98/43.21 assert (zenon_L193_ : (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e12) (op1 (e12) (e13))) = (e13))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (e10))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((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) (e12)) = (op1 (e12) (e12)))) -> (~((e10) = (e13))) -> (~((h3 (op1 (e10) (e10))) = (op2 (h3 (e10)) (h3 (e10))))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e12) (op1 (e12) (e10))) = (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((e20) = (e23))) -> ((op2 (e20) (e21)) = (e20)) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((e22) = (e23))) -> ((op2 (e20) (e23)) = (e22)) -> False).
% 42.98/43.21 do 0 intro. intros zenon_Ha8 zenon_H105 zenon_H48 zenon_H100 zenon_Hf9 zenon_H57 zenon_Hf6 zenon_H109 zenon_Haf zenon_H10d zenon_H21 zenon_H73 zenon_H6e zenon_H5f zenon_H6f zenon_H66 zenon_H6a zenon_H56 zenon_H4f zenon_H78 zenon_H47 zenon_H42 zenon_H2f zenon_H30 zenon_H2b zenon_H2c zenon_H7b zenon_Hef zenon_Hb2 zenon_H60 zenon_H10c zenon_H80 zenon_H7e zenon_H33 zenon_H85 zenon_H288 zenon_H25b.
% 42.98/43.21 apply (zenon_or_s _ _ zenon_Ha8); [ zenon_intro zenon_H32 | zenon_intro zenon_Haa ].
% 42.98/43.21 apply (zenon_L58_); trivial.
% 42.98/43.21 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7f | zenon_intro zenon_Hab ].
% 42.98/43.21 apply (zenon_L25_); trivial.
% 42.98/43.21 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H86 | zenon_intro zenon_H92 ].
% 42.98/43.21 apply (zenon_L26_); trivial.
% 42.98/43.21 apply (zenon_L186_); trivial.
% 42.98/43.21 (* end of lemma zenon_L193_ *)
% 42.98/43.21 assert (zenon_L194_ : ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))))))))))))))))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (e21))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e22) (op2 (e22) (e23))) = (e23))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (e20))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((e22) = (e23))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((e20) = (e23))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> (~((h3 (op1 (e10) (e10))) = (op2 (h3 (e10)) (h3 (e10))))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e12)) = (op1 (e12) (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) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e12)) = (e10))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e21) (e22)) = (e22)) -> ((op2 (e22) (e21)) = (e22)) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((e21) = (e23))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (e23))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e22) (op2 (e22) (e20))) = (e20))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> (~((e12) = (e13))) -> (~((op1 (e13) (e10)) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((e11) = (e13))) -> False).
% 42.98/43.21 do 0 intro. intros zenon_H142 zenon_H242 zenon_H234 zenon_H226 zenon_H23e zenon_Hac zenon_Hbd zenon_Hca zenon_He8 zenon_H264 zenon_H33 zenon_H297 zenon_H290 zenon_H22b zenon_H253 zenon_H299 zenon_H207 zenon_H29c zenon_H15 zenon_H288 zenon_H85 zenon_H80 zenon_H10c zenon_H60 zenon_Hb2 zenon_H7b zenon_H2b zenon_H30 zenon_H2f zenon_H42 zenon_H47 zenon_H78 zenon_H4f zenon_H56 zenon_H6a zenon_H66 zenon_H6f zenon_H5f zenon_H6e zenon_H73 zenon_H21 zenon_H10d zenon_Haf zenon_H109 zenon_Hf6 zenon_Hf9 zenon_Ha8 zenon_H23a zenon_H23c zenon_H282 zenon_H24d zenon_H276 zenon_H26e zenon_H22a zenon_H26a zenon_H279 zenon_H260 zenon_H256 zenon_H25d zenon_H27c zenon_H249 zenon_H27d zenon_Ha2 zenon_H93 zenon_H9c zenon_Ha3 zenon_H29d zenon_H28a zenon_H20a zenon_H2c zenon_H29e zenon_H11a zenon_H123 zenon_H105 zenon_H133 zenon_H126 zenon_He0 zenon_H48 zenon_H57 zenon_Hc4 zenon_Hc1.
% 42.98/43.21 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H26 | zenon_intro zenon_H143 ].
% 42.98/43.21 apply (zenon_L8_); trivial.
% 42.98/43.21 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H144 ].
% 42.98/43.21 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H40. zenon_intro zenon_Ha9.
% 42.98/43.21 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_H50. zenon_intro zenon_H28.
% 42.98/43.21 apply (zenon_or_s _ _ zenon_H29e); [ zenon_intro zenon_H14 | zenon_intro zenon_H29f ].
% 42.98/43.21 exact (zenon_H15 zenon_H14).
% 42.98/43.21 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H7e | zenon_intro zenon_H2a0 ].
% 42.98/43.21 apply (zenon_or_s _ _ zenon_H29c); [ zenon_intro zenon_H14 | zenon_intro zenon_H2a1 ].
% 42.98/43.21 exact (zenon_H15 zenon_H14).
% 42.98/43.21 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H99 | zenon_intro zenon_H2a2 ].
% 42.98/43.21 apply (zenon_or_s _ _ zenon_H29d); [ zenon_intro zenon_H25a | zenon_intro zenon_H2a3 ].
% 42.98/43.21 apply (zenon_L184_); trivial.
% 42.98/43.21 apply (zenon_or_s _ _ zenon_H2a3); [ zenon_intro zenon_H283 | zenon_intro zenon_H2a4 ].
% 42.98/43.21 apply (zenon_L185_); trivial.
% 42.98/43.21 apply (zenon_or_s _ _ zenon_H2a4); [ zenon_intro zenon_H23b | zenon_intro zenon_H25b ].
% 42.98/43.21 apply (zenon_L168_); trivial.
% 42.98/43.21 apply (zenon_L187_); trivial.
% 42.98/43.21 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H24a | zenon_intro zenon_H20b ].
% 42.98/43.21 apply (zenon_L188_); trivial.
% 42.98/43.21 apply (zenon_L155_); trivial.
% 42.98/43.21 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H205 | zenon_intro zenon_H212 ].
% 42.98/43.21 exact (zenon_H207 zenon_H205).
% 42.98/43.21 apply (zenon_L192_); trivial.
% 42.98/43.21 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H145 ].
% 42.98/43.21 apply (zenon_L34_); trivial.
% 42.98/43.21 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H146 ].
% 42.98/43.21 apply (zenon_L36_); trivial.
% 42.98/43.21 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hcd | zenon_intro zenon_H147 ].
% 42.98/43.21 apply (zenon_L42_); trivial.
% 42.98/43.21 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H148 ].
% 42.98/43.21 apply (zenon_L45_); trivial.
% 42.98/43.21 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_Hde | zenon_intro zenon_H149 ].
% 42.98/43.21 apply (zenon_L46_); trivial.
% 42.98/43.21 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_He6 | zenon_intro zenon_H14a ].
% 42.98/43.21 apply (zenon_L48_); trivial.
% 42.98/43.21 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Heb | zenon_intro zenon_H14b ].
% 42.98/43.21 apply (zenon_L51_); trivial.
% 42.98/43.21 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H112 | zenon_intro zenon_H14c ].
% 42.98/43.21 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H114. zenon_intro zenon_H113.
% 42.98/43.22 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_H67. zenon_intro zenon_Hee.
% 42.98/43.22 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_Hef. zenon_intro zenon_H115.
% 42.98/43.22 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_H117. zenon_intro zenon_H116.
% 42.98/43.22 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H118. zenon_intro zenon_H100.
% 42.98/43.22 apply (zenon_or_s _ _ zenon_H29e); [ zenon_intro zenon_H14 | zenon_intro zenon_H29f ].
% 42.98/43.22 exact (zenon_H15 zenon_H14).
% 42.98/43.22 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H7e | zenon_intro zenon_H2a0 ].
% 42.98/43.22 apply (zenon_or_s _ _ zenon_H29c); [ zenon_intro zenon_H14 | zenon_intro zenon_H2a1 ].
% 42.98/43.22 exact (zenon_H15 zenon_H14).
% 42.98/43.22 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H99 | zenon_intro zenon_H2a2 ].
% 42.98/43.22 apply (zenon_or_s _ _ zenon_H29d); [ zenon_intro zenon_H25a | zenon_intro zenon_H2a3 ].
% 42.98/43.22 apply (zenon_L184_); trivial.
% 42.98/43.22 apply (zenon_or_s _ _ zenon_H2a3); [ zenon_intro zenon_H283 | zenon_intro zenon_H2a4 ].
% 42.98/43.22 apply (zenon_L185_); trivial.
% 42.98/43.22 apply (zenon_or_s _ _ zenon_H2a4); [ zenon_intro zenon_H23b | zenon_intro zenon_H25b ].
% 42.98/43.22 apply (zenon_L166_); trivial.
% 42.98/43.22 apply (zenon_L193_); trivial.
% 42.98/43.22 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H24a | zenon_intro zenon_H20b ].
% 42.98/43.22 apply (zenon_L188_); trivial.
% 42.98/43.22 apply (zenon_L155_); trivial.
% 42.98/43.22 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H205 | zenon_intro zenon_H212 ].
% 42.98/43.22 exact (zenon_H207 zenon_H205).
% 42.98/43.22 apply (zenon_L192_); trivial.
% 42.98/43.22 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H11d | zenon_intro zenon_H14d ].
% 42.98/43.22 apply (zenon_L61_); trivial.
% 42.98/43.22 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H11f | zenon_intro zenon_H14e ].
% 42.98/43.22 apply (zenon_L62_); trivial.
% 42.98/43.22 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H122 | zenon_intro zenon_H14f ].
% 42.98/43.22 apply (zenon_L63_); trivial.
% 42.98/43.22 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H132 | zenon_intro zenon_H150 ].
% 42.98/43.22 apply (zenon_L66_); trivial.
% 42.98/43.22 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H13b | zenon_intro zenon_H140 ].
% 42.98/43.22 apply (zenon_L67_); trivial.
% 42.98/43.22 apply (zenon_L70_); trivial.
% 42.98/43.22 (* end of lemma zenon_L194_ *)
% 42.98/43.22 assert (zenon_L195_ : (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (e21))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e22) (op2 (e22) (e23))) = (e23))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (e20))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((e22) = (e23))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((e20) = (e23))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> (~((h3 (op1 (e10) (e10))) = (op2 (h3 (e10)) (h3 (e10))))) -> (((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 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e12)) = (e10))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e21) (e22)) = (e22)) -> ((op2 (e22) (e21)) = (e22)) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((e21) = (e23))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (e23))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e22) (op2 (e22) (e20))) = (e20))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((e10) = (e13))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))))))))))))))))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e10)) = (e10))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (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) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((e12) = (e13))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((e11) = (e12))) -> False).
% 42.98/43.22 do 0 intro. intros zenon_H242 zenon_H234 zenon_H226 zenon_H23e zenon_H264 zenon_H33 zenon_H297 zenon_H290 zenon_H22b zenon_H253 zenon_H299 zenon_H207 zenon_H29c zenon_H15 zenon_H288 zenon_H85 zenon_H80 zenon_H10c zenon_H7b zenon_H2b zenon_H30 zenon_H2f zenon_H78 zenon_H4f zenon_H56 zenon_H10d zenon_Haf zenon_H109 zenon_Ha8 zenon_H23a zenon_H23c zenon_H282 zenon_H24d zenon_H276 zenon_H26e zenon_H22a zenon_H26a zenon_H279 zenon_H260 zenon_H256 zenon_H25d zenon_H27c zenon_H249 zenon_H27d zenon_Ha2 zenon_H93 zenon_H9c zenon_Ha3 zenon_H29d zenon_H28a zenon_H20a zenon_H2c zenon_H29e zenon_H19e zenon_H19f zenon_H1a4 zenon_H60 zenon_H42 zenon_H192 zenon_H16b zenon_H166 zenon_Hbd zenon_Hca zenon_Hf9 zenon_H6e zenon_H5f zenon_He8 zenon_H6a zenon_Hc1 zenon_H105 zenon_H178 zenon_H16e zenon_H174 zenon_H189 zenon_H182 zenon_H66 zenon_H17f zenon_H18c zenon_H161 zenon_H15c zenon_Hb2 zenon_Hac zenon_H152 zenon_H142 zenon_H17b zenon_H21 zenon_H47 zenon_H1c3 zenon_H1a8 zenon_H1bf zenon_Hf6 zenon_H1ba zenon_H1b0 zenon_H1aa zenon_H1c8 zenon_H1b6 zenon_H1d2 zenon_H1be zenon_H1d3 zenon_H73 zenon_H1d5 zenon_H1c2 zenon_H1d8 zenon_H11a zenon_H133 zenon_H126 zenon_He0 zenon_H48 zenon_H57 zenon_Hc4 zenon_H169.
% 42.98/43.22 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H6f | zenon_intro zenon_H193 ].
% 42.98/43.22 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H123 | zenon_intro zenon_H1a5 ].
% 42.98/43.22 apply (zenon_L194_); trivial.
% 42.98/43.22 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H20 | zenon_intro zenon_H1a6 ].
% 42.98/43.22 exact (zenon_H21 zenon_H20).
% 42.98/43.22 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H151 | zenon_intro zenon_H1a7 ].
% 42.98/43.22 apply (zenon_L100_); trivial.
% 42.98/43.22 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H196 | zenon_intro zenon_H198 ].
% 42.98/43.22 apply (zenon_L101_); trivial.
% 42.98/43.22 apply (zenon_L102_); trivial.
% 42.98/43.22 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H17c | zenon_intro zenon_H194 ].
% 42.98/43.22 apply (zenon_L104_); trivial.
% 42.98/43.22 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H18f | zenon_intro zenon_H195 ].
% 42.98/43.22 apply (zenon_L132_); trivial.
% 42.98/43.22 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H119 | zenon_intro zenon_H185 ].
% 42.98/43.22 apply (zenon_L60_); trivial.
% 42.98/43.22 apply (zenon_L133_); trivial.
% 42.98/43.22 (* end of lemma zenon_L195_ *)
% 42.98/43.22 assert (zenon_L196_ : (((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23)))))))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (e21))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (e20))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((e22) = (e23))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((e20) = (e23))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> (~((h3 (op1 (e10) (e10))) = (op2 (h3 (e10)) (h3 (e10))))) -> (((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 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((e21) = (e23))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (e23))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> ((~((op1 (e10) (e12)) = (e10)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (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)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e12) = (e13))) -> (~((e10) = (e12))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))))))))))))))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> False).
% 42.98/43.22 do 0 intro. intros zenon_H2a5 zenon_H1fe zenon_H1d8 zenon_H1c8 zenon_H1aa zenon_H1b0 zenon_H1ba zenon_Hf6 zenon_H1bf zenon_H1a8 zenon_H1c3 zenon_H47 zenon_H1a4 zenon_H19f zenon_H19e zenon_H242 zenon_H234 zenon_H226 zenon_H23e zenon_H264 zenon_H33 zenon_H290 zenon_H22b zenon_H253 zenon_H299 zenon_H207 zenon_H29c zenon_H15 zenon_H288 zenon_H85 zenon_H80 zenon_H10c zenon_H7b zenon_H2b zenon_H30 zenon_H2f zenon_H78 zenon_H4f zenon_H56 zenon_H10d zenon_H109 zenon_Ha8 zenon_H23a zenon_H24d zenon_H276 zenon_H26e zenon_H22a zenon_H26a zenon_H279 zenon_H260 zenon_H256 zenon_H25d zenon_H27c zenon_H249 zenon_H27d zenon_Ha2 zenon_H93 zenon_H9c zenon_Ha3 zenon_H29d zenon_H20a zenon_H2c zenon_H29e zenon_H1ff zenon_H1b6 zenon_H1d2 zenon_H1be zenon_H1d3 zenon_H73 zenon_H1d5 zenon_H1c2 zenon_H1fc zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H1e4 zenon_H1e0 zenon_H1f4 zenon_H1f3 zenon_H1d9 zenon_H1db zenon_H169 zenon_H11a zenon_H17b zenon_H142 zenon_H152 zenon_Hac zenon_Hb2 zenon_H15c zenon_H126 zenon_H161 zenon_H18c zenon_H57 zenon_He0 zenon_H17f zenon_H66 zenon_H182 zenon_H189 zenon_H174 zenon_H16e zenon_H178 zenon_H105 zenon_Hc1 zenon_H6a zenon_He8 zenon_H5f zenon_H6e zenon_Hf9 zenon_Hca zenon_Hbd zenon_H166 zenon_H16b zenon_H192 zenon_H133 zenon_H42 zenon_H60 zenon_H48 zenon_Hc4.
% 42.98/43.22 apply (zenon_and_s _ _ zenon_H2a5). zenon_intro zenon_H282. zenon_intro zenon_H2a6.
% 42.98/43.22 apply (zenon_and_s _ _ zenon_H2a6). zenon_intro zenon_H23c. zenon_intro zenon_H248.
% 42.98/43.22 apply (zenon_and_s _ _ zenon_H248). zenon_intro zenon_H28a. zenon_intro zenon_H2a7.
% 42.98/43.22 apply (zenon_and_s _ _ zenon_H2a7). zenon_intro zenon_H2a9. zenon_intro zenon_H2a8.
% 42.98/43.22 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H2aa. zenon_intro zenon_H297.
% 42.98/43.22 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H21 | zenon_intro zenon_H1a5 ].
% 42.98/43.22 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_Haf | zenon_intro zenon_H193 ].
% 42.98/43.22 apply (zenon_L195_); trivial.
% 42.98/43.22 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H17c | zenon_intro zenon_H194 ].
% 42.98/43.22 apply (zenon_L104_); trivial.
% 42.98/43.22 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H18f | zenon_intro zenon_H195 ].
% 42.98/43.22 apply (zenon_L132_); trivial.
% 42.98/43.22 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H119 | zenon_intro zenon_H185 ].
% 42.98/43.22 apply (zenon_L60_); trivial.
% 42.98/43.22 apply (zenon_L133_); trivial.
% 42.98/43.22 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H20 | zenon_intro zenon_H1a6 ].
% 42.98/43.22 apply (zenon_L149_); trivial.
% 42.98/43.22 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H151 | zenon_intro zenon_H1a7 ].
% 42.98/43.22 apply (zenon_L100_); trivial.
% 42.98/43.22 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H196 | zenon_intro zenon_H198 ].
% 42.98/43.22 apply (zenon_L101_); trivial.
% 42.98/43.22 apply (zenon_L102_); trivial.
% 42.98/43.22 (* end of lemma zenon_L196_ *)
% 42.98/43.22 assert (zenon_L197_ : ((e23) = (op2 (e22) (e22))) -> ((op2 (e22) (e22)) = (e22)) -> (~((e22) = (e23))) -> False).
% 42.98/43.22 do 0 intro. intros zenon_H33 zenon_H2ab zenon_H288.
% 42.98/43.22 elim (classic ((e23) = (e23))); [ zenon_intro zenon_H81 | zenon_intro zenon_H82 ].
% 42.98/43.22 cut (((e23) = (e23)) = ((e22) = (e23))).
% 42.98/43.22 intro zenon_D_pnotp.
% 42.98/43.22 apply zenon_H288.
% 42.98/43.22 rewrite <- zenon_D_pnotp.
% 42.98/43.22 exact zenon_H81.
% 42.98/43.22 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H82].
% 42.98/43.22 cut (((e23) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H2ac].
% 42.98/43.22 congruence.
% 42.98/43.22 cut (((e23) = (op2 (e22) (e22))) = ((e23) = (e22))).
% 42.98/43.22 intro zenon_D_pnotp.
% 42.98/43.22 apply zenon_H2ac.
% 42.98/43.22 rewrite <- zenon_D_pnotp.
% 42.98/43.22 exact zenon_H33.
% 42.98/43.22 cut (((op2 (e22) (e22)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H2ad].
% 42.98/43.22 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H82].
% 42.98/43.22 congruence.
% 42.98/43.22 apply zenon_H82. apply refl_equal.
% 42.98/43.22 exact (zenon_H2ad zenon_H2ab).
% 42.98/43.22 apply zenon_H82. apply refl_equal.
% 42.98/43.22 apply zenon_H82. apply refl_equal.
% 42.98/43.22 (* end of lemma zenon_L197_ *)
% 42.98/43.22 assert (zenon_L198_ : (((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23)))))))) -> ((e23) = (op2 (e22) (e22))) -> (~((e22) = (e23))) -> False).
% 42.98/43.22 do 0 intro. intros zenon_H2ae zenon_H33 zenon_H288.
% 42.98/43.22 apply (zenon_and_s _ _ zenon_H2ae). zenon_intro zenon_H2ab. zenon_intro zenon_H2af.
% 42.98/43.22 apply (zenon_and_s _ _ zenon_H2af). zenon_intro zenon_H2ab. zenon_intro zenon_H248.
% 42.98/43.22 apply (zenon_L197_); trivial.
% 42.98/43.22 (* end of lemma zenon_L198_ *)
% 42.98/43.22 assert (zenon_L199_ : (((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23)))))))) -> ((e23) = (op2 (e22) (e22))) -> False).
% 42.98/43.22 do 0 intro. intros zenon_H2b0 zenon_H33.
% 42.98/43.22 apply (zenon_and_s _ _ zenon_H2b0). zenon_intro zenon_H295. zenon_intro zenon_H2b1.
% 42.98/43.22 apply (zenon_and_s _ _ zenon_H2b1). zenon_intro zenon_H2b2. zenon_intro zenon_H248.
% 42.98/43.22 apply (zenon_and_s _ _ zenon_H248). zenon_intro zenon_H28a. zenon_intro zenon_H2a7.
% 42.98/43.22 apply (zenon_and_s _ _ zenon_H2a7). zenon_intro zenon_H2a9. zenon_intro zenon_H2a8.
% 42.98/43.22 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H2aa. zenon_intro zenon_H297.
% 42.98/43.22 apply (zenon_L191_); trivial.
% 42.98/43.22 (* end of lemma zenon_L199_ *)
% 42.98/43.22 assert (zenon_L200_ : (((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23)))))))) -> (~((op2 (e23) (e20)) = (e23))) -> False).
% 42.98/43.22 do 0 intro. intros zenon_H2b3 zenon_Ha3.
% 42.98/43.22 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_Ha6. zenon_intro zenon_H2b4.
% 42.98/43.22 exact (zenon_Ha3 zenon_Ha6).
% 42.98/43.22 (* end of lemma zenon_L200_ *)
% 42.98/43.22 assert (zenon_L201_ : (~((op2 (e23) (op2 (e23) (e21))) = (e21))) -> ((op2 (e23) (e23)) = (e21)) -> ((op2 (e23) (e21)) = (e23)) -> False).
% 42.98/43.22 do 0 intro. intros zenon_H2b5 zenon_H274 zenon_H2b6.
% 42.98/43.22 cut (((op2 (e23) (e23)) = (e21)) = ((op2 (e23) (op2 (e23) (e21))) = (e21))).
% 42.98/43.22 intro zenon_D_pnotp.
% 42.98/43.22 apply zenon_H2b5.
% 42.98/43.22 rewrite <- zenon_D_pnotp.
% 42.98/43.22 exact zenon_H274.
% 42.98/43.22 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H217].
% 42.98/43.22 cut (((op2 (e23) (e23)) = (op2 (e23) (op2 (e23) (e21))))); [idtac | apply NNPP; zenon_intro zenon_H2b7].
% 42.98/43.22 congruence.
% 42.98/43.22 elim (classic ((op2 (e23) (op2 (e23) (e21))) = (op2 (e23) (op2 (e23) (e21))))); [ zenon_intro zenon_H2b8 | zenon_intro zenon_H2b9 ].
% 42.98/43.22 cut (((op2 (e23) (op2 (e23) (e21))) = (op2 (e23) (op2 (e23) (e21)))) = ((op2 (e23) (e23)) = (op2 (e23) (op2 (e23) (e21))))).
% 42.98/43.22 intro zenon_D_pnotp.
% 42.98/43.22 apply zenon_H2b7.
% 42.98/43.22 rewrite <- zenon_D_pnotp.
% 42.98/43.22 exact zenon_H2b8.
% 42.98/43.22 cut (((op2 (e23) (op2 (e23) (e21))) = (op2 (e23) (op2 (e23) (e21))))); [idtac | apply NNPP; zenon_intro zenon_H2b9].
% 42.98/43.22 cut (((op2 (e23) (op2 (e23) (e21))) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H2ba].
% 42.98/43.22 congruence.
% 42.98/43.22 cut (((op2 (e23) (e21)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H2bb].
% 42.98/43.22 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H82].
% 42.98/43.22 congruence.
% 42.98/43.22 apply zenon_H82. apply refl_equal.
% 42.98/43.22 exact (zenon_H2bb zenon_H2b6).
% 42.98/43.22 apply zenon_H2b9. apply refl_equal.
% 42.98/43.22 apply zenon_H2b9. apply refl_equal.
% 42.98/43.22 apply zenon_H217. apply refl_equal.
% 42.98/43.22 (* end of lemma zenon_L201_ *)
% 42.98/43.22 assert (zenon_L202_ : (((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23)))))))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> False).
% 42.98/43.22 do 0 intro. intros zenon_H2bc zenon_H279 zenon_H26a zenon_H22a zenon_H33 zenon_H22b zenon_H26e.
% 42.98/43.22 apply (zenon_and_s _ _ zenon_H2bc). zenon_intro zenon_H2b6. zenon_intro zenon_H2bd.
% 42.98/43.22 apply (zenon_and_s _ _ zenon_H2bd). zenon_intro zenon_H25e. zenon_intro zenon_H2be.
% 42.98/43.22 apply (zenon_and_s _ _ zenon_H2be). zenon_intro zenon_H2c0. zenon_intro zenon_H2bf.
% 42.98/43.22 apply (zenon_and_s _ _ zenon_H2bf). zenon_intro zenon_H2b5. zenon_intro zenon_H2c1.
% 42.98/43.22 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H26b | zenon_intro zenon_H27a ].
% 42.98/43.22 apply (zenon_L180_); trivial.
% 42.98/43.22 apply (zenon_or_s _ _ zenon_H27a); [ zenon_intro zenon_H22c | zenon_intro zenon_H27b ].
% 42.98/43.22 apply (zenon_L163_); trivial.
% 42.98/43.22 apply (zenon_or_s _ _ zenon_H27b); [ zenon_intro zenon_H26f | zenon_intro zenon_H274 ].
% 42.98/43.22 apply (zenon_L181_); trivial.
% 42.98/43.22 apply (zenon_L201_); trivial.
% 42.98/43.22 (* end of lemma zenon_L202_ *)
% 42.98/43.22 assert (zenon_L203_ : (((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23)))))))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> False).
% 42.98/43.22 do 0 intro. intros zenon_H2c2 zenon_H33 zenon_H264.
% 42.98/43.22 apply (zenon_and_s _ _ zenon_H2c2). zenon_intro zenon_H2c4. zenon_intro zenon_H2c3.
% 42.98/43.22 apply (zenon_and_s _ _ zenon_H2c3). zenon_intro zenon_H263. zenon_intro zenon_H2be.
% 42.98/43.22 apply (zenon_L179_); trivial.
% 42.98/43.22 (* end of lemma zenon_L203_ *)
% 42.98/43.22 assert (zenon_L204_ : (((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23)))))))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((e21) = (e23))) -> False).
% 42.98/43.22 do 0 intro. intros zenon_H2c5 zenon_H279 zenon_H26a zenon_H22a zenon_H33 zenon_H22b zenon_H26e zenon_H276.
% 42.98/43.22 apply (zenon_and_s _ _ zenon_H2c5). zenon_intro zenon_H275. zenon_intro zenon_H2c6.
% 42.98/43.22 apply (zenon_and_s _ _ zenon_H2c6). zenon_intro zenon_H275. zenon_intro zenon_H2be.
% 42.98/43.22 apply (zenon_L183_); trivial.
% 42.98/43.22 (* end of lemma zenon_L204_ *)
% 42.98/43.22 assert (zenon_L205_ : ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))))))))))))))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e20)) = (e21))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))))))))))))))))) -> (~((e10) = (e12))) -> (~((e12) = (e13))) -> (~((e11) = (e12))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (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 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((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 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((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))))) -> (~((h3 (op1 (e10) (e10))) = (op2 (h3 (e10)) (h3 (e10))))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((e20) = (e23))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (e20))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e20) (e22)) = (e20))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e22)) = (e21))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (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) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((e22) = (e23))) -> (~((op2 (e23) (e20)) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((e21) = (e23))) -> False).
% 42.98/43.22 do 0 intro. intros zenon_H2c7 zenon_H204 zenon_H214 zenon_Hc4 zenon_H48 zenon_H60 zenon_H42 zenon_H133 zenon_H192 zenon_H16b zenon_H166 zenon_Hbd zenon_Hca zenon_Hf9 zenon_H6e zenon_H5f zenon_He8 zenon_H6a zenon_Hc1 zenon_H105 zenon_H178 zenon_H16e zenon_H174 zenon_H189 zenon_H182 zenon_H66 zenon_H17f zenon_He0 zenon_H57 zenon_H18c zenon_H161 zenon_H126 zenon_H15c zenon_Hb2 zenon_Hac zenon_H152 zenon_H142 zenon_H17b zenon_H11a zenon_H169 zenon_H1db zenon_H1d9 zenon_H1f3 zenon_H1f4 zenon_H1e0 zenon_H1e4 zenon_H1ed zenon_H1ec zenon_H1f5 zenon_H1fc zenon_H1c2 zenon_H1d5 zenon_H73 zenon_H1d3 zenon_H1be zenon_H1d2 zenon_H1b6 zenon_H1ff zenon_H29e zenon_H2c zenon_H20a zenon_H29d zenon_H9c zenon_H93 zenon_Ha2 zenon_H27d zenon_H249 zenon_H27c zenon_H25d zenon_H256 zenon_H260 zenon_H24d zenon_H23a zenon_Ha8 zenon_H109 zenon_H10d zenon_H56 zenon_H4f zenon_H78 zenon_H2f zenon_H30 zenon_H2b zenon_H7b zenon_H10c zenon_H80 zenon_H85 zenon_H15 zenon_H29c zenon_H207 zenon_H299 zenon_H253 zenon_H290 zenon_H23e zenon_H226 zenon_H234 zenon_H242 zenon_H19e zenon_H19f zenon_H1a4 zenon_H47 zenon_H1c3 zenon_H1a8 zenon_H1bf zenon_Hf6 zenon_H1ba zenon_H1b0 zenon_H1aa zenon_H1c8 zenon_H1d8 zenon_H1fe zenon_H288 zenon_Ha3 zenon_H264 zenon_H279 zenon_H26a zenon_H22a zenon_H33 zenon_H22b zenon_H26e zenon_H276.
% 42.98/43.22 apply (zenon_or_s _ _ zenon_H2c7); [ zenon_intro zenon_H1a | zenon_intro zenon_H2c8 ].
% 42.98/43.22 apply (zenon_L4_); trivial.
% 42.98/43.22 apply (zenon_or_s _ _ zenon_H2c8); [ zenon_intro zenon_H1fd | zenon_intro zenon_H2c9 ].
% 42.98/43.22 apply (zenon_L150_); trivial.
% 42.98/43.22 apply (zenon_or_s _ _ zenon_H2c9); [ zenon_intro zenon_H208 | zenon_intro zenon_H2ca ].
% 42.98/43.22 apply (zenon_L154_); trivial.
% 42.98/43.22 apply (zenon_or_s _ _ zenon_H2ca); [ zenon_intro zenon_H210 | zenon_intro zenon_H2cb ].
% 42.98/43.22 apply (zenon_L156_); trivial.
% 42.98/43.22 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H213 | zenon_intro zenon_H2cc ].
% 42.98/43.22 apply (zenon_L157_); trivial.
% 42.98/43.22 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H21b | zenon_intro zenon_H2cd ].
% 42.98/43.22 apply (zenon_L160_); trivial.
% 42.98/43.22 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H225 | zenon_intro zenon_H2ce ].
% 42.98/43.22 apply (zenon_L161_); trivial.
% 42.98/43.22 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H231 | zenon_intro zenon_H2cf ].
% 42.98/43.22 apply (zenon_L164_); trivial.
% 42.98/43.22 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_H245 | zenon_intro zenon_H2d0 ].
% 42.98/43.22 apply (zenon_L169_); trivial.
% 42.98/43.22 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H2a5 | zenon_intro zenon_H2d1 ].
% 42.98/43.22 apply (zenon_L196_); trivial.
% 42.98/43.22 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H2ae | zenon_intro zenon_H2d2 ].
% 42.98/43.22 apply (zenon_L198_); trivial.
% 42.98/43.22 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H2b0 | zenon_intro zenon_H2d3 ].
% 42.98/43.22 apply (zenon_L199_); trivial.
% 42.98/43.22 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H2b3 | zenon_intro zenon_H2d4 ].
% 42.98/43.22 apply (zenon_L200_); trivial.
% 42.98/43.22 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_H2bc | zenon_intro zenon_H2d5 ].
% 42.98/43.22 apply (zenon_L202_); trivial.
% 42.98/43.22 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2c5 ].
% 42.98/43.22 apply (zenon_L203_); trivial.
% 42.98/43.22 apply (zenon_L204_); trivial.
% 42.98/43.22 (* end of lemma zenon_L205_ *)
% 42.98/43.22 assert (zenon_L206_ : ((op2 (e21) (e21)) = (e20)) -> ((op2 (e20) (e21)) = (e20)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> False).
% 42.98/43.22 do 0 intro. intros zenon_H2d6 zenon_H7e zenon_H2d7.
% 42.98/43.22 elim (classic ((op2 (e21) (e21)) = (op2 (e21) (e21)))); [ zenon_intro zenon_H2d8 | zenon_intro zenon_H2d9 ].
% 42.98/43.22 cut (((op2 (e21) (e21)) = (op2 (e21) (e21))) = ((op2 (e20) (e21)) = (op2 (e21) (e21)))).
% 42.98/43.22 intro zenon_D_pnotp.
% 42.98/43.22 apply zenon_H2d7.
% 42.98/43.22 rewrite <- zenon_D_pnotp.
% 42.98/43.22 exact zenon_H2d8.
% 42.98/43.22 cut (((op2 (e21) (e21)) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H2d9].
% 42.98/43.22 cut (((op2 (e21) (e21)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H2da].
% 42.98/43.22 congruence.
% 42.98/43.22 cut (((op2 (e21) (e21)) = (e20)) = ((op2 (e21) (e21)) = (op2 (e20) (e21)))).
% 42.98/43.22 intro zenon_D_pnotp.
% 42.98/43.22 apply zenon_H2da.
% 42.98/43.22 rewrite <- zenon_D_pnotp.
% 42.98/43.22 exact zenon_H2d6.
% 42.98/43.22 cut (((e20) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H2db].
% 42.98/43.22 cut (((op2 (e21) (e21)) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H2d9].
% 42.98/43.22 congruence.
% 42.98/43.22 apply zenon_H2d9. apply refl_equal.
% 42.98/43.22 apply zenon_H2db. apply sym_equal. exact zenon_H7e.
% 42.98/43.22 apply zenon_H2d9. apply refl_equal.
% 42.98/43.22 apply zenon_H2d9. apply refl_equal.
% 42.98/43.22 (* end of lemma zenon_L206_ *)
% 42.98/43.22 assert (zenon_L207_ : (((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23)))))))) -> ((op2 (e21) (e21)) = (e20)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> False).
% 42.98/43.22 do 0 intro. intros zenon_H1fd zenon_H2d6 zenon_H2d7.
% 42.98/43.22 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_H7e. zenon_intro zenon_H200.
% 42.98/43.22 apply (zenon_L206_); trivial.
% 42.98/43.22 (* end of lemma zenon_L207_ *)
% 42.98/43.22 assert (zenon_L208_ : ((op2 (e20) (e22)) = (e21)) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> False).
% 42.98/43.22 do 0 intro. intros zenon_H2dc zenon_H2dd zenon_H2de.
% 42.98/43.22 elim (classic ((op2 (e20) (e22)) = (op2 (e20) (e22)))); [ zenon_intro zenon_H89 | zenon_intro zenon_H8a ].
% 42.98/43.22 cut (((op2 (e20) (e22)) = (op2 (e20) (e22))) = ((op2 (e20) (e21)) = (op2 (e20) (e22)))).
% 42.98/43.22 intro zenon_D_pnotp.
% 42.98/43.22 apply zenon_H2de.
% 42.98/43.22 rewrite <- zenon_D_pnotp.
% 42.98/43.22 exact zenon_H89.
% 42.98/43.22 cut (((op2 (e20) (e22)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H8a].
% 42.98/43.22 cut (((op2 (e20) (e22)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H2df].
% 42.98/43.22 congruence.
% 42.98/43.22 cut (((op2 (e20) (e22)) = (e21)) = ((op2 (e20) (e22)) = (op2 (e20) (e21)))).
% 42.98/43.22 intro zenon_D_pnotp.
% 42.98/43.22 apply zenon_H2df.
% 42.98/43.22 rewrite <- zenon_D_pnotp.
% 42.98/43.22 exact zenon_H2dc.
% 42.98/43.22 cut (((e21) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H2e0].
% 42.98/43.22 cut (((op2 (e20) (e22)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H8a].
% 42.98/43.22 congruence.
% 42.98/43.22 apply zenon_H8a. apply refl_equal.
% 42.98/43.22 apply zenon_H2e0. apply sym_equal. exact zenon_H2dd.
% 42.98/43.22 apply zenon_H8a. apply refl_equal.
% 42.98/43.22 apply zenon_H8a. apply refl_equal.
% 42.98/43.22 (* end of lemma zenon_L208_ *)
% 42.98/43.22 assert (zenon_L209_ : ((e23) = (op2 (e22) (e22))) -> ((op2 (e22) (e22)) = (e21)) -> (~((e21) = (e23))) -> False).
% 42.98/43.22 do 0 intro. intros zenon_H33 zenon_H2e1 zenon_H276.
% 42.98/43.22 elim (classic ((e23) = (e23))); [ zenon_intro zenon_H81 | zenon_intro zenon_H82 ].
% 42.98/43.22 cut (((e23) = (e23)) = ((e21) = (e23))).
% 42.98/43.22 intro zenon_D_pnotp.
% 42.98/43.22 apply zenon_H276.
% 42.98/43.22 rewrite <- zenon_D_pnotp.
% 42.98/43.22 exact zenon_H81.
% 42.98/43.22 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H82].
% 42.98/43.22 cut (((e23) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H277].
% 42.98/43.22 congruence.
% 42.98/43.22 cut (((e23) = (op2 (e22) (e22))) = ((e23) = (e21))).
% 42.98/43.22 intro zenon_D_pnotp.
% 42.98/43.22 apply zenon_H277.
% 42.98/43.22 rewrite <- zenon_D_pnotp.
% 42.98/43.22 exact zenon_H33.
% 42.98/43.22 cut (((op2 (e22) (e22)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H2e2].
% 42.98/43.22 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H82].
% 42.98/43.22 congruence.
% 42.98/43.22 apply zenon_H82. apply refl_equal.
% 42.98/43.22 exact (zenon_H2e2 zenon_H2e1).
% 42.98/43.22 apply zenon_H82. apply refl_equal.
% 42.98/43.22 apply zenon_H82. apply refl_equal.
% 42.98/43.22 (* end of lemma zenon_L209_ *)
% 42.98/43.22 assert (zenon_L210_ : (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e21) (e22)) = (e21))) -> (~((e21) = (e23))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((e23) = (op2 (e22) (e22))) -> False).
% 42.98/43.22 do 0 intro. intros zenon_H2e3 zenon_H2de zenon_H2dd zenon_H226 zenon_H276 zenon_H26e zenon_H22b zenon_H33.
% 42.98/43.22 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H2dc | zenon_intro zenon_H2e4 ].
% 42.98/43.22 apply (zenon_L208_); trivial.
% 42.98/43.22 apply (zenon_or_s _ _ zenon_H2e4); [ zenon_intro zenon_H228 | zenon_intro zenon_H2e5 ].
% 42.98/43.22 exact (zenon_H226 zenon_H228).
% 42.98/43.22 apply (zenon_or_s _ _ zenon_H2e5); [ zenon_intro zenon_H2e1 | zenon_intro zenon_H26f ].
% 42.98/43.22 apply (zenon_L209_); trivial.
% 42.98/43.22 apply (zenon_L181_); trivial.
% 42.98/43.22 (* end of lemma zenon_L210_ *)
% 42.98/43.22 assert (zenon_L211_ : (((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23)))))))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((op2 (e21) (e22)) = (e21))) -> (~((e21) = (e23))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((e23) = (op2 (e22) (e22))) -> False).
% 42.98/43.22 do 0 intro. intros zenon_H213 zenon_H2e3 zenon_H2de zenon_H226 zenon_H276 zenon_H26e zenon_H22b zenon_H33.
% 42.98/43.22 apply (zenon_and_s _ _ zenon_H213). zenon_intro zenon_H216. zenon_intro zenon_H215.
% 42.98/43.22 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H2dd. zenon_intro zenon_H21d.
% 42.98/43.22 apply (zenon_L210_); trivial.
% 42.98/43.22 (* end of lemma zenon_L211_ *)
% 42.98/43.22 assert (zenon_L212_ : ((op2 (e21) (e21)) = (e20)) -> ((op2 (e21) (e21)) = (e21)) -> (~((e20) = (e21))) -> False).
% 42.98/43.22 do 0 intro. intros zenon_H2d6 zenon_H219 zenon_H2e6.
% 42.98/43.22 elim (classic ((e21) = (e21))); [ zenon_intro zenon_H2e7 | zenon_intro zenon_H217 ].
% 42.98/43.22 cut (((e21) = (e21)) = ((e20) = (e21))).
% 42.98/43.22 intro zenon_D_pnotp.
% 42.98/43.22 apply zenon_H2e6.
% 42.98/43.22 rewrite <- zenon_D_pnotp.
% 42.98/43.22 exact zenon_H2e7.
% 42.98/43.22 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H217].
% 42.98/43.22 cut (((e21) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H2e8].
% 42.98/43.22 congruence.
% 42.98/43.22 cut (((op2 (e21) (e21)) = (e20)) = ((e21) = (e20))).
% 42.98/43.22 intro zenon_D_pnotp.
% 42.98/43.22 apply zenon_H2e8.
% 42.98/43.22 rewrite <- zenon_D_pnotp.
% 42.98/43.22 exact zenon_H2d6.
% 42.98/43.22 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H12].
% 42.98/43.22 cut (((op2 (e21) (e21)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H21a].
% 42.98/43.22 congruence.
% 42.98/43.22 exact (zenon_H21a zenon_H219).
% 42.98/43.22 apply zenon_H12. apply refl_equal.
% 42.98/43.22 apply zenon_H217. apply refl_equal.
% 42.98/43.22 apply zenon_H217. apply refl_equal.
% 42.98/43.22 (* end of lemma zenon_L212_ *)
% 42.98/43.22 assert (zenon_L213_ : (((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23)))))))) -> ((op2 (e21) (e21)) = (e20)) -> (~((e20) = (e21))) -> False).
% 42.98/43.22 do 0 intro. intros zenon_H21b zenon_H2d6 zenon_H2e6.
% 42.98/43.22 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H219. zenon_intro zenon_H21c.
% 42.98/43.22 apply (zenon_and_s _ _ zenon_H21c). zenon_intro zenon_H219. zenon_intro zenon_H21d.
% 42.98/43.22 apply (zenon_L212_); trivial.
% 42.98/43.22 (* end of lemma zenon_L213_ *)
% 42.98/43.22 assert (zenon_L214_ : ((op2 (e22) (e21)) = (e21)) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> False).
% 42.98/43.22 do 0 intro. intros zenon_H2e9 zenon_H2ea zenon_H2eb.
% 42.98/43.22 elim (classic ((op2 (e22) (e21)) = (op2 (e22) (e21)))); [ zenon_intro zenon_H284 | zenon_intro zenon_H285 ].
% 42.98/43.22 cut (((op2 (e22) (e21)) = (op2 (e22) (e21))) = ((op2 (e22) (e20)) = (op2 (e22) (e21)))).
% 42.98/43.22 intro zenon_D_pnotp.
% 42.98/43.22 apply zenon_H2eb.
% 42.98/43.22 rewrite <- zenon_D_pnotp.
% 42.98/43.22 exact zenon_H284.
% 42.98/43.22 cut (((op2 (e22) (e21)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H285].
% 42.98/43.22 cut (((op2 (e22) (e21)) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H2ec].
% 42.98/43.22 congruence.
% 42.98/43.22 cut (((op2 (e22) (e21)) = (e21)) = ((op2 (e22) (e21)) = (op2 (e22) (e20)))).
% 42.98/43.22 intro zenon_D_pnotp.
% 42.98/43.22 apply zenon_H2ec.
% 42.98/43.22 rewrite <- zenon_D_pnotp.
% 42.98/43.22 exact zenon_H2e9.
% 42.98/43.22 cut (((e21) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H2ed].
% 42.98/43.22 cut (((op2 (e22) (e21)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H285].
% 42.98/43.22 congruence.
% 42.98/43.22 apply zenon_H285. apply refl_equal.
% 42.98/43.22 apply zenon_H2ed. apply sym_equal. exact zenon_H2ea.
% 42.98/43.22 apply zenon_H285. apply refl_equal.
% 42.98/43.22 apply zenon_H285. apply refl_equal.
% 42.98/43.22 (* end of lemma zenon_L214_ *)
% 42.98/43.22 assert (zenon_L215_ : (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((op2 (e20) (e22)) = (e21)) -> (~((e20) = (e21))) -> ((op2 (e21) (e21)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((e23) = (op2 (e22) (e22))) -> False).
% 42.98/43.22 do 0 intro. intros zenon_H2ee zenon_H2de zenon_H2dc zenon_H2e6 zenon_H2d6 zenon_H2eb zenon_H2ea zenon_H22a zenon_H22b zenon_H33.
% 42.98/43.22 apply (zenon_or_s _ _ zenon_H2ee); [ zenon_intro zenon_H2dd | zenon_intro zenon_H2ef ].
% 42.98/43.22 apply (zenon_L208_); trivial.
% 42.98/43.22 apply (zenon_or_s _ _ zenon_H2ef); [ zenon_intro zenon_H219 | zenon_intro zenon_H2f0 ].
% 42.98/43.22 apply (zenon_L212_); trivial.
% 42.98/43.22 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_H2e9 | zenon_intro zenon_H22c ].
% 42.98/43.22 apply (zenon_L214_); trivial.
% 42.98/43.22 apply (zenon_L163_); trivial.
% 42.98/43.22 (* end of lemma zenon_L215_ *)
% 42.98/43.22 assert (zenon_L216_ : (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e21) (e21)) = (e20)) -> (~((e20) = (e21))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e21) (e22)) = (e21))) -> (~((e21) = (e23))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((e23) = (op2 (e22) (e22))) -> False).
% 42.98/43.22 do 0 intro. intros zenon_H2e3 zenon_H22a zenon_H2ea zenon_H2eb zenon_H2d6 zenon_H2e6 zenon_H2de zenon_H2ee zenon_H226 zenon_H276 zenon_H26e zenon_H22b zenon_H33.
% 42.98/43.22 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H2dc | zenon_intro zenon_H2e4 ].
% 42.98/43.22 apply (zenon_L215_); trivial.
% 42.98/43.22 apply (zenon_or_s _ _ zenon_H2e4); [ zenon_intro zenon_H228 | zenon_intro zenon_H2e5 ].
% 42.98/43.22 exact (zenon_H226 zenon_H228).
% 42.98/43.22 apply (zenon_or_s _ _ zenon_H2e5); [ zenon_intro zenon_H2e1 | zenon_intro zenon_H26f ].
% 42.98/43.22 apply (zenon_L209_); trivial.
% 42.98/43.22 apply (zenon_L181_); trivial.
% 42.98/43.22 (* end of lemma zenon_L216_ *)
% 42.98/43.22 assert (zenon_L217_ : (~((e21) = (e22))) -> ((op2 (e22) (e21)) = (e22)) -> ((op2 (e22) (e21)) = (e21)) -> False).
% 42.98/43.22 do 0 intro. intros zenon_H2f1 zenon_H282 zenon_H2e9.
% 42.98/43.22 cut (((op2 (e22) (e21)) = (e22)) = ((e21) = (e22))).
% 42.98/43.22 intro zenon_D_pnotp.
% 42.98/43.22 apply zenon_H2f1.
% 42.98/43.22 rewrite <- zenon_D_pnotp.
% 42.98/43.22 exact zenon_H282.
% 42.98/43.22 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H201].
% 42.98/43.22 cut (((op2 (e22) (e21)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H2f2].
% 42.98/43.22 congruence.
% 42.98/43.22 exact (zenon_H2f2 zenon_H2e9).
% 42.98/43.22 apply zenon_H201. apply refl_equal.
% 42.98/43.22 (* end of lemma zenon_L217_ *)
% 42.98/43.22 assert (zenon_L218_ : (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (e21))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((e20) = (e21))) -> ((op2 (e21) (e21)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> ((op2 (e22) (e21)) = (e22)) -> (~((e21) = (e22))) -> (~((e21) = (e23))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((e23) = (op2 (e22) (e22))) -> False).
% 42.98/43.22 do 0 intro. intros zenon_H2f3 zenon_H26e zenon_H226 zenon_H2ee zenon_H2de zenon_H2e6 zenon_H2d6 zenon_H2eb zenon_H22a zenon_H2e3 zenon_H282 zenon_H2f1 zenon_H276 zenon_H290 zenon_H22b zenon_H33.
% 42.98/43.22 apply (zenon_or_s _ _ zenon_H2f3); [ zenon_intro zenon_H2ea | zenon_intro zenon_H2f4 ].
% 42.98/43.22 apply (zenon_L216_); trivial.
% 42.98/43.22 apply (zenon_or_s _ _ zenon_H2f4); [ zenon_intro zenon_H2e9 | zenon_intro zenon_H2f5 ].
% 42.98/43.22 apply (zenon_L217_); trivial.
% 42.98/43.22 apply (zenon_or_s _ _ zenon_H2f5); [ zenon_intro zenon_H2e1 | zenon_intro zenon_H291 ].
% 42.98/43.22 apply (zenon_L209_); trivial.
% 42.98/43.22 apply (zenon_L189_); trivial.
% 42.98/43.22 (* end of lemma zenon_L218_ *)
% 42.98/43.22 assert (zenon_L219_ : (((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23)))))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (e21))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((e20) = (e21))) -> ((op2 (e21) (e21)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((e21) = (e22))) -> (~((e21) = (e23))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((e23) = (op2 (e22) (e22))) -> False).
% 42.98/43.22 do 0 intro. intros zenon_H2a5 zenon_H2f3 zenon_H26e zenon_H226 zenon_H2ee zenon_H2de zenon_H2e6 zenon_H2d6 zenon_H2eb zenon_H22a zenon_H2e3 zenon_H2f1 zenon_H276 zenon_H290 zenon_H22b zenon_H33.
% 42.98/43.22 apply (zenon_and_s _ _ zenon_H2a5). zenon_intro zenon_H282. zenon_intro zenon_H2a6.
% 42.98/43.22 apply (zenon_L218_); trivial.
% 42.98/43.22 (* end of lemma zenon_L219_ *)
% 42.98/43.22 assert (zenon_L220_ : (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> ((op2 (e21) (e21)) = (e20)) -> ((op2 (e21) (e23)) = (e20)) -> False).
% 42.98/43.22 do 0 intro. intros zenon_H2f6 zenon_H2d6 zenon_H2f7.
% 42.98/43.22 cut (((op2 (e21) (e21)) = (e20)) = ((op2 (e21) (e21)) = (op2 (e21) (e23)))).
% 42.98/43.22 intro zenon_D_pnotp.
% 42.98/43.22 apply zenon_H2f6.
% 42.98/43.22 rewrite <- zenon_D_pnotp.
% 42.98/43.22 exact zenon_H2d6.
% 42.98/43.22 cut (((e20) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H2f8].
% 42.98/43.22 cut (((op2 (e21) (e21)) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H2d9].
% 42.98/43.22 congruence.
% 42.98/43.22 apply zenon_H2d9. apply refl_equal.
% 42.98/43.22 apply zenon_H2f8. apply sym_equal. exact zenon_H2f7.
% 42.98/43.22 (* end of lemma zenon_L220_ *)
% 42.98/43.22 assert (zenon_L221_ : (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((op2 (e21) (e23)) = (e21)) -> ((e23) = (op2 (e22) (e22))) -> False).
% 42.98/43.22 do 0 intro. intros zenon_H2f9 zenon_H22b zenon_H233 zenon_H33.
% 42.98/43.22 cut (((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) = ((op2 (e21) (e23)) = (op2 (e23) (e23)))).
% 42.98/43.22 intro zenon_D_pnotp.
% 42.98/43.22 apply zenon_H2f9.
% 42.98/43.22 rewrite <- zenon_D_pnotp.
% 42.98/43.22 exact zenon_H22b.
% 42.98/43.22 cut (((op2 (op2 (e22) (e22)) (op2 (e22) (e22))) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H229].
% 42.98/43.22 cut (((e21) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H2fa].
% 42.98/43.22 congruence.
% 42.98/43.22 elim (classic ((op2 (e21) (e23)) = (op2 (e21) (e23)))); [ zenon_intro zenon_H2fb | zenon_intro zenon_H2fc ].
% 42.98/43.22 cut (((op2 (e21) (e23)) = (op2 (e21) (e23))) = ((e21) = (op2 (e21) (e23)))).
% 42.98/43.22 intro zenon_D_pnotp.
% 42.98/43.22 apply zenon_H2fa.
% 42.98/43.22 rewrite <- zenon_D_pnotp.
% 42.98/43.22 exact zenon_H2fb.
% 42.98/43.22 cut (((op2 (e21) (e23)) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H2fc].
% 42.98/43.22 cut (((op2 (e21) (e23)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H2fd].
% 42.98/43.22 congruence.
% 42.98/43.22 exact (zenon_H2fd zenon_H233).
% 42.98/43.22 apply zenon_H2fc. apply refl_equal.
% 42.98/43.22 apply zenon_H2fc. apply refl_equal.
% 42.98/43.22 apply (zenon_L162_); trivial.
% 42.98/43.22 (* end of lemma zenon_L221_ *)
% 42.98/43.22 assert (zenon_L222_ : (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (e21) (e22)) = (e22)) -> ((op2 (e21) (e23)) = (e22)) -> False).
% 42.98/43.22 do 0 intro. intros zenon_H2fe zenon_H23c zenon_H2ff.
% 42.98/43.22 cut (((op2 (e21) (e22)) = (e22)) = ((op2 (e21) (e22)) = (op2 (e21) (e23)))).
% 42.98/43.22 intro zenon_D_pnotp.
% 42.98/43.22 apply zenon_H2fe.
% 42.98/43.22 rewrite <- zenon_D_pnotp.
% 42.98/43.22 exact zenon_H23c.
% 42.98/43.22 cut (((e22) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H300].
% 42.98/43.22 cut (((op2 (e21) (e22)) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H238].
% 42.98/43.22 congruence.
% 42.98/43.22 apply zenon_H238. apply refl_equal.
% 42.98/43.22 apply zenon_H300. apply sym_equal. exact zenon_H2ff.
% 42.98/43.22 (* end of lemma zenon_L222_ *)
% 42.98/43.22 assert (zenon_L223_ : (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> ((op2 (e21) (e21)) = (e20)) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e20) (e23)) = (e23)) -> False).
% 42.98/43.22 do 0 intro. intros zenon_H301 zenon_H2d6 zenon_H2f6 zenon_H33 zenon_H22b zenon_H2f9 zenon_H23c zenon_H2fe zenon_H25d zenon_H92.
% 42.98/43.22 apply (zenon_or_s _ _ zenon_H301); [ zenon_intro zenon_H2f7 | zenon_intro zenon_H302 ].
% 42.98/43.22 apply (zenon_L220_); trivial.
% 42.98/43.22 apply (zenon_or_s _ _ zenon_H302); [ zenon_intro zenon_H233 | zenon_intro zenon_H303 ].
% 42.98/43.22 apply (zenon_L221_); trivial.
% 42.98/43.22 apply (zenon_or_s _ _ zenon_H303); [ zenon_intro zenon_H2ff | zenon_intro zenon_H25e ].
% 42.98/43.22 apply (zenon_L222_); trivial.
% 42.98/43.22 apply (zenon_L177_); trivial.
% 42.98/43.22 (* end of lemma zenon_L223_ *)
% 42.98/43.22 assert (zenon_L224_ : (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (e21))) -> ((op2 (e20) (e23)) = (e23)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> ((op2 (e21) (e21)) = (e20)) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((e23) = (op2 (e22) (e22))) -> False).
% 42.98/43.22 do 0 intro. intros zenon_H242 zenon_H2c zenon_H234 zenon_H226 zenon_H92 zenon_H25d zenon_H2fe zenon_H2f9 zenon_H22b zenon_H2f6 zenon_H2d6 zenon_H301 zenon_H23e zenon_H33.
% 42.98/43.22 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H235 | zenon_intro zenon_H243 ].
% 42.98/43.22 apply (zenon_L165_); trivial.
% 42.98/43.22 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H228 | zenon_intro zenon_H244 ].
% 42.98/43.22 exact (zenon_H226 zenon_H228).
% 42.98/43.22 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H23c | zenon_intro zenon_H23f ].
% 42.98/43.22 apply (zenon_L223_); trivial.
% 42.98/43.22 apply (zenon_L167_); trivial.
% 42.98/43.22 (* end of lemma zenon_L224_ *)
% 42.98/43.22 assert (zenon_L225_ : ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))))))))))))))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((e21) = (e22))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((e22) = (e23))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> ((op2 (e21) (e21)) = (e20)) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e22)) = (e21))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((e21) = (e23))) -> False).
% 42.98/43.22 do 0 intro. intros zenon_H2c7 zenon_H2d7 zenon_H204 zenon_H20a zenon_H23a zenon_H290 zenon_H2f1 zenon_H2e3 zenon_H2eb zenon_H2e6 zenon_H2de zenon_H2ee zenon_H2f3 zenon_H288 zenon_H23e zenon_H301 zenon_H2d6 zenon_H2f6 zenon_H2f9 zenon_H2fe zenon_H25d zenon_H226 zenon_H234 zenon_H2c zenon_H242 zenon_H264 zenon_H279 zenon_H26a zenon_H22a zenon_H33 zenon_H22b zenon_H26e zenon_H276.
% 42.98/43.22 apply (zenon_or_s _ _ zenon_H2c7); [ zenon_intro zenon_H1a | zenon_intro zenon_H2c8 ].
% 42.98/43.22 apply (zenon_L4_); trivial.
% 42.98/43.22 apply (zenon_or_s _ _ zenon_H2c8); [ zenon_intro zenon_H1fd | zenon_intro zenon_H2c9 ].
% 42.98/43.22 apply (zenon_L207_); trivial.
% 42.98/43.22 apply (zenon_or_s _ _ zenon_H2c9); [ zenon_intro zenon_H208 | zenon_intro zenon_H2ca ].
% 42.98/43.22 apply (zenon_L154_); trivial.
% 42.98/43.22 apply (zenon_or_s _ _ zenon_H2ca); [ zenon_intro zenon_H210 | zenon_intro zenon_H2cb ].
% 42.98/43.22 apply (zenon_L156_); trivial.
% 42.98/43.22 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H213 | zenon_intro zenon_H2cc ].
% 42.98/43.22 apply (zenon_L211_); trivial.
% 42.98/43.22 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H21b | zenon_intro zenon_H2cd ].
% 42.98/43.22 apply (zenon_L213_); trivial.
% 42.98/43.22 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H225 | zenon_intro zenon_H2ce ].
% 42.98/43.22 apply (zenon_L161_); trivial.
% 42.98/43.22 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H231 | zenon_intro zenon_H2cf ].
% 42.98/43.22 apply (zenon_L164_); trivial.
% 42.98/43.22 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_H245 | zenon_intro zenon_H2d0 ].
% 42.98/43.22 apply (zenon_L169_); trivial.
% 42.98/43.22 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H2a5 | zenon_intro zenon_H2d1 ].
% 42.98/43.22 apply (zenon_L219_); trivial.
% 42.98/43.22 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H2ae | zenon_intro zenon_H2d2 ].
% 42.98/43.22 apply (zenon_L198_); trivial.
% 42.98/43.22 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H2b0 | zenon_intro zenon_H2d3 ].
% 42.98/43.22 apply (zenon_L199_); trivial.
% 42.98/43.22 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H2b3 | zenon_intro zenon_H2d4 ].
% 42.98/43.22 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_Ha6. zenon_intro zenon_H2b4.
% 42.98/43.22 apply (zenon_and_s _ _ zenon_H2b4). zenon_intro zenon_H92. zenon_intro zenon_H2be.
% 42.98/43.22 apply (zenon_L224_); trivial.
% 42.98/43.22 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_H2bc | zenon_intro zenon_H2d5 ].
% 42.98/43.22 apply (zenon_L202_); trivial.
% 42.98/43.22 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2c5 ].
% 42.98/43.22 apply (zenon_L203_); trivial.
% 42.98/43.22 apply (zenon_L204_); trivial.
% 42.98/43.22 (* end of lemma zenon_L225_ *)
% 42.98/43.22 assert (zenon_L226_ : (~((e20) = (e22))) -> ((op2 (e20) (e20)) = (e22)) -> ((op2 (e20) (e20)) = (e20)) -> False).
% 42.98/43.22 do 0 intro. intros zenon_H304 zenon_H25a zenon_H14.
% 42.98/43.22 cut (((op2 (e20) (e20)) = (e22)) = ((e20) = (e22))).
% 42.98/43.22 intro zenon_D_pnotp.
% 42.98/43.22 apply zenon_H304.
% 42.98/43.22 rewrite <- zenon_D_pnotp.
% 42.98/43.22 exact zenon_H25a.
% 42.98/43.22 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H201].
% 42.98/43.22 cut (((op2 (e20) (e20)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H15].
% 42.98/43.22 congruence.
% 42.98/43.22 exact (zenon_H15 zenon_H14).
% 42.98/43.22 apply zenon_H201. apply refl_equal.
% 42.98/43.22 (* end of lemma zenon_L226_ *)
% 42.98/43.22 assert (zenon_L227_ : (((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23)))))))) -> (~((e20) = (e22))) -> ((op2 (e20) (e20)) = (e22)) -> False).
% 42.98/43.22 do 0 intro. intros zenon_H1a zenon_H304 zenon_H25a.
% 42.98/43.22 apply (zenon_and_s _ _ zenon_H1a). zenon_intro zenon_H14. zenon_intro zenon_H1b.
% 42.98/43.22 apply (zenon_and_s _ _ zenon_H1b). zenon_intro zenon_H14. zenon_intro zenon_H1c.
% 42.98/43.22 apply (zenon_L226_); trivial.
% 42.98/43.22 (* end of lemma zenon_L227_ *)
% 42.98/43.22 assert (zenon_L228_ : (~((op2 (e21) (op2 (e21) (e20))) = (e20))) -> ((op2 (e21) (e21)) = (e20)) -> ((op2 (e21) (e20)) = (e21)) -> False).
% 42.98/43.22 do 0 intro. intros zenon_H21f zenon_H2d6 zenon_H216.
% 42.98/43.22 cut (((op2 (e21) (e21)) = (e20)) = ((op2 (e21) (op2 (e21) (e20))) = (e20))).
% 42.98/43.22 intro zenon_D_pnotp.
% 42.98/43.22 apply zenon_H21f.
% 42.98/43.22 rewrite <- zenon_D_pnotp.
% 42.98/43.22 exact zenon_H2d6.
% 42.98/43.22 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H12].
% 42.98/43.22 cut (((op2 (e21) (e21)) = (op2 (e21) (op2 (e21) (e20))))); [idtac | apply NNPP; zenon_intro zenon_H305].
% 42.98/43.22 congruence.
% 42.98/43.22 elim (classic ((op2 (e21) (op2 (e21) (e20))) = (op2 (e21) (op2 (e21) (e20))))); [ zenon_intro zenon_H306 | zenon_intro zenon_H307 ].
% 42.98/43.22 cut (((op2 (e21) (op2 (e21) (e20))) = (op2 (e21) (op2 (e21) (e20)))) = ((op2 (e21) (e21)) = (op2 (e21) (op2 (e21) (e20))))).
% 42.98/43.22 intro zenon_D_pnotp.
% 42.98/43.22 apply zenon_H305.
% 42.98/43.22 rewrite <- zenon_D_pnotp.
% 42.98/43.22 exact zenon_H306.
% 42.98/43.22 cut (((op2 (e21) (op2 (e21) (e20))) = (op2 (e21) (op2 (e21) (e20))))); [idtac | apply NNPP; zenon_intro zenon_H307].
% 42.98/43.22 cut (((op2 (e21) (op2 (e21) (e20))) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H308].
% 42.98/43.22 congruence.
% 42.98/43.22 cut (((op2 (e21) (e20)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H214].
% 42.98/43.22 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H217].
% 42.98/43.22 congruence.
% 42.98/43.22 apply zenon_H217. apply refl_equal.
% 42.98/43.22 exact (zenon_H214 zenon_H216).
% 42.98/43.22 apply zenon_H307. apply refl_equal.
% 42.98/43.22 apply zenon_H307. apply refl_equal.
% 42.98/43.22 apply zenon_H12. apply refl_equal.
% 42.98/43.22 (* end of lemma zenon_L228_ *)
% 42.98/43.22 assert (zenon_L229_ : (((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23)))))))) -> ((op2 (e21) (e21)) = (e20)) -> False).
% 42.98/43.22 do 0 intro. intros zenon_H213 zenon_H2d6.
% 42.98/43.22 apply (zenon_and_s _ _ zenon_H213). zenon_intro zenon_H216. zenon_intro zenon_H215.
% 42.98/43.22 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H2dd. zenon_intro zenon_H21d.
% 42.98/43.22 apply (zenon_and_s _ _ zenon_H21d). zenon_intro zenon_H21f. zenon_intro zenon_H21e.
% 42.98/43.22 apply (zenon_L228_); trivial.
% 42.98/43.22 (* end of lemma zenon_L229_ *)
% 42.98/43.22 assert (zenon_L230_ : (~((e21) = (e22))) -> ((op2 (e20) (e20)) = (e22)) -> ((op2 (e20) (e20)) = (e21)) -> False).
% 42.98/43.22 do 0 intro. intros zenon_H2f1 zenon_H25a zenon_H309.
% 42.98/43.22 cut (((op2 (e20) (e20)) = (e22)) = ((e21) = (e22))).
% 42.98/43.22 intro zenon_D_pnotp.
% 42.98/43.22 apply zenon_H2f1.
% 42.98/43.22 rewrite <- zenon_D_pnotp.
% 42.98/43.22 exact zenon_H25a.
% 42.98/43.22 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H201].
% 42.98/43.22 cut (((op2 (e20) (e20)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H30a].
% 42.98/43.22 congruence.
% 42.98/43.22 exact (zenon_H30a zenon_H309).
% 42.98/43.22 apply zenon_H201. apply refl_equal.
% 42.98/43.22 (* end of lemma zenon_L230_ *)
% 42.98/43.22 assert (zenon_L231_ : (((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23)))))))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> ((op2 (e20) (e20)) = (e22)) -> (~((e21) = (e22))) -> ((op2 (e21) (e21)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((e23) = (op2 (e22) (e22))) -> False).
% 42.98/43.22 do 0 intro. intros zenon_H225 zenon_H30b zenon_H25a zenon_H2f1 zenon_H2d6 zenon_H2eb zenon_H26a zenon_H22b zenon_H33.
% 42.98/43.22 apply (zenon_and_s _ _ zenon_H225). zenon_intro zenon_H228. zenon_intro zenon_H227.
% 42.98/43.22 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_H2e9. zenon_intro zenon_H21d.
% 42.98/43.22 apply (zenon_and_s _ _ zenon_H21d). zenon_intro zenon_H21f. zenon_intro zenon_H21e.
% 42.98/43.22 apply (zenon_or_s _ _ zenon_H30b); [ zenon_intro zenon_H309 | zenon_intro zenon_H30c ].
% 42.98/43.22 apply (zenon_L230_); trivial.
% 42.98/43.22 apply (zenon_or_s _ _ zenon_H30c); [ zenon_intro zenon_H216 | zenon_intro zenon_H30d ].
% 42.98/43.22 apply (zenon_L228_); trivial.
% 42.98/43.22 apply (zenon_or_s _ _ zenon_H30d); [ zenon_intro zenon_H2ea | zenon_intro zenon_H26b ].
% 42.98/43.22 apply (zenon_L214_); trivial.
% 42.98/43.22 apply (zenon_L180_); trivial.
% 42.98/43.22 (* end of lemma zenon_L231_ *)
% 42.98/43.22 assert (zenon_L232_ : (((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23)))))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e20) (e20)) = (e22)) -> False).
% 42.98/43.22 do 0 intro. intros zenon_H245 zenon_H30e zenon_H25a.
% 42.98/43.22 apply (zenon_and_s _ _ zenon_H245). zenon_intro zenon_H247. zenon_intro zenon_H246.
% 42.98/43.22 cut (((op2 (e20) (e20)) = (e22)) = ((op2 (e20) (e20)) = (op2 (e22) (e20)))).
% 42.98/43.22 intro zenon_D_pnotp.
% 42.98/43.22 apply zenon_H30e.
% 42.98/43.22 rewrite <- zenon_D_pnotp.
% 42.98/43.22 exact zenon_H25a.
% 42.98/43.22 cut (((e22) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H30f].
% 42.98/43.22 cut (((op2 (e20) (e20)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H8e].
% 42.98/43.22 congruence.
% 42.98/43.22 apply zenon_H8e. apply refl_equal.
% 42.98/43.22 apply zenon_H30f. apply sym_equal. exact zenon_H247.
% 42.98/43.22 (* end of lemma zenon_L232_ *)
% 42.98/43.22 assert (zenon_L233_ : (((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23)))))))) -> (~((op2 (e22) (e21)) = (e22))) -> False).
% 42.98/43.22 do 0 intro. intros zenon_H2a5 zenon_H310.
% 42.98/43.22 apply (zenon_and_s _ _ zenon_H2a5). zenon_intro zenon_H282. zenon_intro zenon_H2a6.
% 42.98/43.22 exact (zenon_H310 zenon_H282).
% 42.98/43.22 (* end of lemma zenon_L233_ *)
% 42.98/43.22 assert (zenon_L234_ : ((op2 (e20) (e23)) = (e23)) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False).
% 42.98/43.22 do 0 intro. intros zenon_H92 zenon_H7f zenon_H311.
% 42.98/43.22 elim (classic ((op2 (e20) (e23)) = (op2 (e20) (e23)))); [ zenon_intro zenon_H94 | zenon_intro zenon_H95 ].
% 42.98/43.22 cut (((op2 (e20) (e23)) = (op2 (e20) (e23))) = ((op2 (e20) (e21)) = (op2 (e20) (e23)))).
% 42.98/43.22 intro zenon_D_pnotp.
% 42.98/43.22 apply zenon_H311.
% 42.98/43.22 rewrite <- zenon_D_pnotp.
% 42.98/43.22 exact zenon_H94.
% 42.98/43.22 cut (((op2 (e20) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H95].
% 42.98/43.22 cut (((op2 (e20) (e23)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H312].
% 42.98/43.22 congruence.
% 42.98/43.22 cut (((op2 (e20) (e23)) = (e23)) = ((op2 (e20) (e23)) = (op2 (e20) (e21)))).
% 42.98/43.22 intro zenon_D_pnotp.
% 42.98/43.22 apply zenon_H312.
% 42.98/43.22 rewrite <- zenon_D_pnotp.
% 42.98/43.22 exact zenon_H92.
% 42.98/43.22 cut (((e23) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H313].
% 42.98/43.22 cut (((op2 (e20) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H95].
% 42.98/43.22 congruence.
% 42.98/43.22 apply zenon_H95. apply refl_equal.
% 42.98/43.22 apply zenon_H313. apply sym_equal. exact zenon_H7f.
% 42.98/43.22 apply zenon_H95. apply refl_equal.
% 42.98/43.22 apply zenon_H95. apply refl_equal.
% 42.98/43.22 (* end of lemma zenon_L234_ *)
% 42.98/43.22 assert (zenon_L235_ : ((op2 (e21) (e21)) = (e20)) -> ((op2 (e21) (e21)) = (e23)) -> (~((e20) = (e23))) -> False).
% 42.98/43.22 do 0 intro. intros zenon_H2d6 zenon_H314 zenon_H80.
% 42.98/43.22 elim (classic ((e23) = (e23))); [ zenon_intro zenon_H81 | zenon_intro zenon_H82 ].
% 42.98/43.22 cut (((e23) = (e23)) = ((e20) = (e23))).
% 42.98/43.22 intro zenon_D_pnotp.
% 42.98/43.22 apply zenon_H80.
% 42.98/43.22 rewrite <- zenon_D_pnotp.
% 42.98/43.22 exact zenon_H81.
% 42.98/43.22 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H82].
% 42.98/43.22 cut (((e23) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H83].
% 42.98/43.22 congruence.
% 42.98/43.22 cut (((op2 (e21) (e21)) = (e20)) = ((e23) = (e20))).
% 42.98/43.22 intro zenon_D_pnotp.
% 42.98/43.22 apply zenon_H83.
% 42.98/43.22 rewrite <- zenon_D_pnotp.
% 42.98/43.22 exact zenon_H2d6.
% 42.98/43.22 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H12].
% 42.98/43.22 cut (((op2 (e21) (e21)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H315].
% 42.98/43.22 congruence.
% 42.98/43.22 exact (zenon_H315 zenon_H314).
% 42.98/43.22 apply zenon_H12. apply refl_equal.
% 42.98/43.22 apply zenon_H82. apply refl_equal.
% 42.98/43.22 apply zenon_H82. apply refl_equal.
% 42.98/43.22 (* end of lemma zenon_L235_ *)
% 42.98/43.22 assert (zenon_L236_ : (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((e23) = (op2 (e22) (e22))) -> ((op2 (e22) (e21)) = (e23)) -> False).
% 42.98/43.22 do 0 intro. intros zenon_H316 zenon_H33 zenon_H317.
% 42.98/43.22 cut (((e23) = (op2 (e22) (e22))) = ((op2 (e22) (e21)) = (op2 (e22) (e22)))).
% 42.98/43.22 intro zenon_D_pnotp.
% 42.98/43.22 apply zenon_H316.
% 42.98/43.22 rewrite <- zenon_D_pnotp.
% 42.98/43.22 exact zenon_H33.
% 42.98/43.22 cut (((op2 (e22) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H87].
% 42.98/43.22 cut (((e23) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H318].
% 42.98/43.22 congruence.
% 42.98/43.22 elim (classic ((op2 (e22) (e21)) = (op2 (e22) (e21)))); [ zenon_intro zenon_H284 | zenon_intro zenon_H285 ].
% 42.98/43.22 cut (((op2 (e22) (e21)) = (op2 (e22) (e21))) = ((e23) = (op2 (e22) (e21)))).
% 42.98/43.22 intro zenon_D_pnotp.
% 42.98/43.22 apply zenon_H318.
% 42.98/43.22 rewrite <- zenon_D_pnotp.
% 42.98/43.22 exact zenon_H284.
% 42.98/43.22 cut (((op2 (e22) (e21)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H285].
% 42.98/43.22 cut (((op2 (e22) (e21)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H319].
% 42.98/43.22 congruence.
% 42.98/43.22 exact (zenon_H319 zenon_H317).
% 42.98/43.22 apply zenon_H285. apply refl_equal.
% 42.98/43.22 apply zenon_H285. apply refl_equal.
% 42.98/43.22 apply zenon_H87. apply refl_equal.
% 42.98/43.22 (* end of lemma zenon_L236_ *)
% 42.98/43.22 assert (zenon_L237_ : ((op2 (e23) (e23)) = (e21)) -> ((op2 (e23) (e23)) = (e22)) -> (~((e21) = (e22))) -> False).
% 42.98/43.22 do 0 intro. intros zenon_H274 zenon_H31a zenon_H2f1.
% 42.98/43.22 elim (classic ((e22) = (e22))); [ zenon_intro zenon_H31b | zenon_intro zenon_H201 ].
% 42.98/43.22 cut (((e22) = (e22)) = ((e21) = (e22))).
% 42.98/43.22 intro zenon_D_pnotp.
% 42.98/43.22 apply zenon_H2f1.
% 42.98/43.22 rewrite <- zenon_D_pnotp.
% 42.98/43.22 exact zenon_H31b.
% 42.98/43.22 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H201].
% 42.98/43.22 cut (((e22) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H31c].
% 42.98/43.22 congruence.
% 42.98/43.22 cut (((op2 (e23) (e23)) = (e21)) = ((e22) = (e21))).
% 42.98/43.22 intro zenon_D_pnotp.
% 42.98/43.22 apply zenon_H31c.
% 42.98/43.22 rewrite <- zenon_D_pnotp.
% 42.98/43.22 exact zenon_H274.
% 42.98/43.22 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H217].
% 42.98/43.22 cut (((op2 (e23) (e23)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H31d].
% 42.98/43.22 congruence.
% 42.98/43.22 exact (zenon_H31d zenon_H31a).
% 42.98/43.22 apply zenon_H217. apply refl_equal.
% 42.98/43.22 apply zenon_H201. apply refl_equal.
% 42.98/43.22 apply zenon_H201. apply refl_equal.
% 42.98/43.22 (* end of lemma zenon_L237_ *)
% 42.98/43.22 assert (zenon_L238_ : (((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23)))))))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((op2 (e20) (e20)) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> ((op2 (e23) (e23)) = (e21)) -> (~((e21) = (e22))) -> False).
% 42.98/43.22 do 0 intro. intros zenon_H2a5 zenon_H31e zenon_H25a zenon_H93 zenon_H2fe zenon_H33 zenon_H274 zenon_H2f1.
% 42.98/43.22 apply (zenon_and_s _ _ zenon_H2a5). zenon_intro zenon_H282. zenon_intro zenon_H2a6.
% 42.98/43.22 apply (zenon_and_s _ _ zenon_H2a6). zenon_intro zenon_H23c. zenon_intro zenon_H248.
% 42.98/43.22 apply (zenon_and_s _ _ zenon_H248). zenon_intro zenon_H28a. zenon_intro zenon_H2a7.
% 42.98/43.22 apply (zenon_and_s _ _ zenon_H2a7). zenon_intro zenon_H2a9. zenon_intro zenon_H2a8.
% 42.98/43.22 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H2aa. zenon_intro zenon_H297.
% 42.98/43.22 apply (zenon_or_s _ _ zenon_H31e); [ zenon_intro zenon_H25b | zenon_intro zenon_H31f ].
% 42.98/43.22 apply (zenon_L176_); trivial.
% 42.98/43.22 apply (zenon_or_s _ _ zenon_H31f); [ zenon_intro zenon_H2ff | zenon_intro zenon_H320 ].
% 42.98/43.22 apply (zenon_L222_); trivial.
% 42.98/43.22 apply (zenon_or_s _ _ zenon_H320); [ zenon_intro zenon_H295 | zenon_intro zenon_H31a ].
% 42.98/43.22 apply (zenon_L191_); trivial.
% 42.98/43.22 apply (zenon_L237_); trivial.
% 42.98/43.22 (* end of lemma zenon_L238_ *)
% 42.98/43.22 assert (zenon_L239_ : (((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23)))))))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((e20) = (e23))) -> ((op2 (e21) (e21)) = (e20)) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((op2 (e23) (e23)) = (e21)) -> False).
% 42.98/43.22 do 0 intro. intros zenon_H2b3 zenon_H321 zenon_H311 zenon_H80 zenon_H2d6 zenon_H33 zenon_H316 zenon_H274.
% 42.98/43.22 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_Ha6. zenon_intro zenon_H2b4.
% 42.98/43.22 apply (zenon_and_s _ _ zenon_H2b4). zenon_intro zenon_H92. zenon_intro zenon_H2be.
% 42.98/43.22 apply (zenon_and_s _ _ zenon_H2be). zenon_intro zenon_H2c0. zenon_intro zenon_H2bf.
% 42.98/43.22 apply (zenon_and_s _ _ zenon_H2bf). zenon_intro zenon_H2b5. zenon_intro zenon_H2c1.
% 42.98/43.22 apply (zenon_or_s _ _ zenon_H321); [ zenon_intro zenon_H7f | zenon_intro zenon_H322 ].
% 42.98/43.22 apply (zenon_L234_); trivial.
% 42.98/43.22 apply (zenon_or_s _ _ zenon_H322); [ zenon_intro zenon_H314 | zenon_intro zenon_H323 ].
% 42.98/43.22 apply (zenon_L235_); trivial.
% 42.98/43.22 apply (zenon_or_s _ _ zenon_H323); [ zenon_intro zenon_H317 | zenon_intro zenon_H2b6 ].
% 42.98/43.22 apply (zenon_L236_); trivial.
% 42.98/43.22 apply (zenon_L201_); trivial.
% 42.98/43.22 (* end of lemma zenon_L239_ *)
% 42.98/43.22 assert (zenon_L240_ : (((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23)))))))) -> ((op2 (e23) (e23)) = (e21)) -> False).
% 42.98/43.22 do 0 intro. intros zenon_H2bc zenon_H274.
% 42.98/43.22 apply (zenon_and_s _ _ zenon_H2bc). zenon_intro zenon_H2b6. zenon_intro zenon_H2bd.
% 42.98/43.22 apply (zenon_and_s _ _ zenon_H2bd). zenon_intro zenon_H25e. zenon_intro zenon_H2be.
% 42.98/43.22 apply (zenon_and_s _ _ zenon_H2be). zenon_intro zenon_H2c0. zenon_intro zenon_H2bf.
% 42.98/43.22 apply (zenon_and_s _ _ zenon_H2bf). zenon_intro zenon_H2b5. zenon_intro zenon_H2c1.
% 42.98/43.22 apply (zenon_L201_); trivial.
% 42.98/43.22 (* end of lemma zenon_L240_ *)
% 42.98/43.22 assert (zenon_L241_ : (((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23)))))))) -> ((op2 (e23) (e23)) = (e21)) -> (~((e21) = (e23))) -> False).
% 42.98/43.22 do 0 intro. intros zenon_H2c5 zenon_H274 zenon_H276.
% 42.98/43.22 apply (zenon_and_s _ _ zenon_H2c5). zenon_intro zenon_H275. zenon_intro zenon_H2c6.
% 42.98/43.22 apply (zenon_and_s _ _ zenon_H2c6). zenon_intro zenon_H275. zenon_intro zenon_H2be.
% 42.98/43.22 apply (zenon_L182_); trivial.
% 42.98/43.22 (* end of lemma zenon_L241_ *)
% 42.98/43.22 assert (zenon_L242_ : ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))))))))))))))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((e20) = (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((e21) = (e22))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((op2 (e20) (e20)) = (e22)) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e22) = (e23))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((op2 (e21) (e21)) = (e20)) -> (~((e20) = (e23))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> ((op2 (e23) (e23)) = (e21)) -> (~((e21) = (e23))) -> False).
% 42.98/43.22 do 0 intro. intros zenon_H2c7 zenon_H2d7 zenon_H204 zenon_H2c zenon_H20a zenon_H2e6 zenon_H26a zenon_H2eb zenon_H30b zenon_H22b zenon_H22a zenon_H30e zenon_H2f1 zenon_H2fe zenon_H93 zenon_H25a zenon_H31e zenon_H288 zenon_H316 zenon_H2d6 zenon_H80 zenon_H311 zenon_H321 zenon_H264 zenon_H33 zenon_H274 zenon_H276.
% 42.98/43.22 apply (zenon_or_s _ _ zenon_H2c7); [ zenon_intro zenon_H1a | zenon_intro zenon_H2c8 ].
% 42.98/43.22 apply (zenon_L4_); trivial.
% 42.98/43.22 apply (zenon_or_s _ _ zenon_H2c8); [ zenon_intro zenon_H1fd | zenon_intro zenon_H2c9 ].
% 42.98/43.22 apply (zenon_L207_); trivial.
% 42.98/43.22 apply (zenon_or_s _ _ zenon_H2c9); [ zenon_intro zenon_H208 | zenon_intro zenon_H2ca ].
% 42.98/43.22 apply (zenon_L154_); trivial.
% 42.98/43.22 apply (zenon_or_s _ _ zenon_H2ca); [ zenon_intro zenon_H210 | zenon_intro zenon_H2cb ].
% 42.98/43.22 apply (zenon_L156_); trivial.
% 42.98/43.22 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H213 | zenon_intro zenon_H2cc ].
% 42.98/43.22 apply (zenon_L229_); trivial.
% 42.98/43.22 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H21b | zenon_intro zenon_H2cd ].
% 42.98/43.22 apply (zenon_L213_); trivial.
% 42.98/43.22 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H225 | zenon_intro zenon_H2ce ].
% 42.98/43.22 apply (zenon_L231_); trivial.
% 42.98/43.22 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H231 | zenon_intro zenon_H2cf ].
% 42.98/43.22 apply (zenon_L164_); trivial.
% 42.98/43.22 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_H245 | zenon_intro zenon_H2d0 ].
% 42.98/43.22 apply (zenon_L232_); trivial.
% 42.98/43.22 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H2a5 | zenon_intro zenon_H2d1 ].
% 42.98/43.22 apply (zenon_L238_); trivial.
% 42.98/43.22 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H2ae | zenon_intro zenon_H2d2 ].
% 42.98/43.22 apply (zenon_L198_); trivial.
% 42.98/43.22 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H2b0 | zenon_intro zenon_H2d3 ].
% 42.98/43.22 apply (zenon_L199_); trivial.
% 42.98/43.22 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H2b3 | zenon_intro zenon_H2d4 ].
% 42.98/43.22 apply (zenon_L239_); trivial.
% 42.98/43.22 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_H2bc | zenon_intro zenon_H2d5 ].
% 42.98/43.22 apply (zenon_L240_); trivial.
% 42.98/43.22 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2c5 ].
% 42.98/43.22 apply (zenon_L203_); trivial.
% 42.98/43.22 apply (zenon_L241_); trivial.
% 42.98/43.22 (* end of lemma zenon_L242_ *)
% 42.98/43.22 assert (zenon_L243_ : ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e21)) = (e22))) -> (~((e20) = (e22))) -> (~((op2 (e21) (e21)) = (e21))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))))))))))))))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((e20) = (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((e21) = (e22))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((op2 (e20) (e20)) = (e22)) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e22) = (e23))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((op2 (e21) (e21)) = (e20)) -> (~((e20) = (e23))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> (~((e21) = (e23))) -> False).
% 42.98/43.22 do 0 intro. intros zenon_H324 zenon_H26e zenon_H279 zenon_H310 zenon_H304 zenon_H21a zenon_H2c7 zenon_H2d7 zenon_H204 zenon_H2c zenon_H20a zenon_H2e6 zenon_H26a zenon_H2eb zenon_H30b zenon_H22b zenon_H22a zenon_H30e zenon_H2f1 zenon_H2fe zenon_H93 zenon_H25a zenon_H31e zenon_H288 zenon_H316 zenon_H2d6 zenon_H80 zenon_H311 zenon_H321 zenon_H264 zenon_H33 zenon_H276.
% 42.98/43.22 apply (zenon_or_s _ _ zenon_H324); [ zenon_intro zenon_H2bb | zenon_intro zenon_H325 ].
% 42.98/43.22 apply (zenon_or_s _ _ zenon_H2c7); [ zenon_intro zenon_H1a | zenon_intro zenon_H2c8 ].
% 42.98/43.22 apply (zenon_L227_); trivial.
% 42.98/43.22 apply (zenon_or_s _ _ zenon_H2c8); [ zenon_intro zenon_H1fd | zenon_intro zenon_H2c9 ].
% 42.98/43.22 apply (zenon_L207_); trivial.
% 42.98/43.22 apply (zenon_or_s _ _ zenon_H2c9); [ zenon_intro zenon_H208 | zenon_intro zenon_H2ca ].
% 42.98/43.22 apply (zenon_L154_); trivial.
% 42.98/43.22 apply (zenon_or_s _ _ zenon_H2ca); [ zenon_intro zenon_H210 | zenon_intro zenon_H2cb ].
% 42.98/43.22 apply (zenon_L156_); trivial.
% 42.98/43.22 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H213 | zenon_intro zenon_H2cc ].
% 42.98/43.22 apply (zenon_L229_); trivial.
% 42.98/43.22 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H21b | zenon_intro zenon_H2cd ].
% 42.98/43.22 apply (zenon_L160_); trivial.
% 42.98/43.22 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H225 | zenon_intro zenon_H2ce ].
% 42.98/43.22 apply (zenon_L231_); trivial.
% 42.98/43.22 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H231 | zenon_intro zenon_H2cf ].
% 42.98/43.22 apply (zenon_L164_); trivial.
% 42.98/43.22 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_H245 | zenon_intro zenon_H2d0 ].
% 42.98/43.22 apply (zenon_L232_); trivial.
% 42.98/43.22 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H2a5 | zenon_intro zenon_H2d1 ].
% 42.98/43.22 apply (zenon_L233_); trivial.
% 42.98/43.22 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H2ae | zenon_intro zenon_H2d2 ].
% 42.98/43.22 apply (zenon_L198_); trivial.
% 42.98/43.22 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H2b0 | zenon_intro zenon_H2d3 ].
% 42.98/43.22 apply (zenon_L199_); trivial.
% 42.98/43.22 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H2b3 | zenon_intro zenon_H2d4 ].
% 42.98/43.22 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_Ha6. zenon_intro zenon_H2b4.
% 42.98/43.22 apply (zenon_and_s _ _ zenon_H2b4). zenon_intro zenon_H92. zenon_intro zenon_H2be.
% 42.98/43.22 apply (zenon_or_s _ _ zenon_H321); [ zenon_intro zenon_H7f | zenon_intro zenon_H322 ].
% 42.98/43.22 apply (zenon_L234_); trivial.
% 42.98/43.22 apply (zenon_or_s _ _ zenon_H322); [ zenon_intro zenon_H314 | zenon_intro zenon_H323 ].
% 42.98/43.22 apply (zenon_L235_); trivial.
% 42.98/43.22 apply (zenon_or_s _ _ zenon_H323); [ zenon_intro zenon_H317 | zenon_intro zenon_H2b6 ].
% 42.98/43.22 apply (zenon_L236_); trivial.
% 42.98/43.22 exact (zenon_H2bb zenon_H2b6).
% 42.98/43.22 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_H2bc | zenon_intro zenon_H2d5 ].
% 42.98/43.22 apply (zenon_L202_); trivial.
% 42.98/43.22 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2c5 ].
% 42.98/43.22 apply (zenon_L203_); trivial.
% 42.98/43.22 apply (zenon_L204_); trivial.
% 42.98/43.22 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H309 | zenon_intro zenon_H326 ].
% 42.98/43.22 apply (zenon_L230_); trivial.
% 42.98/43.22 apply (zenon_or_s _ _ zenon_H326); [ zenon_intro zenon_H219 | zenon_intro zenon_H327 ].
% 42.98/43.22 exact (zenon_H21a zenon_H219).
% 42.98/43.22 apply (zenon_or_s _ _ zenon_H327); [ zenon_intro zenon_H2e1 | zenon_intro zenon_H274 ].
% 42.98/43.22 apply (zenon_L209_); trivial.
% 42.98/43.22 apply (zenon_L242_); trivial.
% 42.98/43.22 (* end of lemma zenon_L243_ *)
% 42.98/43.22 assert (zenon_L244_ : ((op2 (e21) (e21)) = (e20)) -> ((op2 (e21) (e21)) = (e22)) -> (~((e20) = (e22))) -> False).
% 42.98/43.22 do 0 intro. intros zenon_H2d6 zenon_H328 zenon_H304.
% 42.98/43.22 elim (classic ((e22) = (e22))); [ zenon_intro zenon_H31b | zenon_intro zenon_H201 ].
% 42.98/43.22 cut (((e22) = (e22)) = ((e20) = (e22))).
% 42.98/43.22 intro zenon_D_pnotp.
% 42.98/43.22 apply zenon_H304.
% 42.98/43.22 rewrite <- zenon_D_pnotp.
% 42.98/43.22 exact zenon_H31b.
% 42.98/43.22 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H201].
% 42.98/43.22 cut (((e22) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H329].
% 42.98/43.22 congruence.
% 42.98/43.22 cut (((op2 (e21) (e21)) = (e20)) = ((e22) = (e20))).
% 42.98/43.22 intro zenon_D_pnotp.
% 42.98/43.22 apply zenon_H329.
% 42.98/43.22 rewrite <- zenon_D_pnotp.
% 42.98/43.22 exact zenon_H2d6.
% 42.98/43.22 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H12].
% 42.98/43.22 cut (((op2 (e21) (e21)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H32a].
% 42.98/43.22 congruence.
% 42.98/43.22 exact (zenon_H32a zenon_H328).
% 42.98/43.22 apply zenon_H12. apply refl_equal.
% 42.98/43.22 apply zenon_H201. apply refl_equal.
% 42.98/43.22 apply zenon_H201. apply refl_equal.
% 42.98/43.22 (* end of lemma zenon_L244_ *)
% 42.98/43.22 assert (zenon_L245_ : (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e23)) = (e22)) -> (~((e21) = (e22))) -> False).
% 42.98/43.22 do 0 intro. intros zenon_H279 zenon_H26a zenon_H22a zenon_H33 zenon_H22b zenon_H26e zenon_H31a zenon_H2f1.
% 42.98/43.22 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H26b | zenon_intro zenon_H27a ].
% 42.98/43.22 apply (zenon_L180_); trivial.
% 42.98/43.22 apply (zenon_or_s _ _ zenon_H27a); [ zenon_intro zenon_H22c | zenon_intro zenon_H27b ].
% 42.98/43.22 apply (zenon_L163_); trivial.
% 42.98/43.22 apply (zenon_or_s _ _ zenon_H27b); [ zenon_intro zenon_H26f | zenon_intro zenon_H274 ].
% 42.98/43.22 apply (zenon_L181_); trivial.
% 42.98/43.22 apply (zenon_L237_); trivial.
% 42.98/43.22 (* end of lemma zenon_L245_ *)
% 42.98/43.22 assert (zenon_L246_ : ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (~((e21) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))))))))))))))))) -> ((op2 (e20) (e20)) = (e21)) -> (~((e20) = (e22))) -> ((op2 (e21) (e21)) = (e20)) -> (~((e22) = (e23))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((e21) = (e22))) -> False).
% 42.98/43.22 do 0 intro. intros zenon_H32b zenon_H276 zenon_H264 zenon_H242 zenon_H2c zenon_H234 zenon_H25d zenon_H2fe zenon_H2f9 zenon_H2f6 zenon_H301 zenon_H23e zenon_H2f3 zenon_H2ee zenon_H2de zenon_H2e6 zenon_H2eb zenon_H2e3 zenon_H290 zenon_H23a zenon_H20a zenon_H204 zenon_H2d7 zenon_H2c7 zenon_H309 zenon_H304 zenon_H2d6 zenon_H288 zenon_H279 zenon_H26a zenon_H22a zenon_H33 zenon_H22b zenon_H26e zenon_H2f1.
% 42.98/43.22 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H226 | zenon_intro zenon_H32c ].
% 42.98/43.22 apply (zenon_L225_); trivial.
% 42.98/43.22 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H25a | zenon_intro zenon_H32d ].
% 42.98/43.22 apply (zenon_L230_); trivial.
% 42.98/43.22 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H328 | zenon_intro zenon_H32e ].
% 42.98/43.22 apply (zenon_L244_); trivial.
% 42.98/43.22 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H2ab | zenon_intro zenon_H31a ].
% 42.98/43.22 apply (zenon_L197_); trivial.
% 42.98/43.22 apply (zenon_L245_); trivial.
% 42.98/43.22 (* end of lemma zenon_L246_ *)
% 42.98/43.22 assert (zenon_L247_ : ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))))))))))))))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((e21) = (e22))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e21) (e22)) = (e21))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((e22) = (e23))) -> ((op2 (e23) (e23)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((op2 (e21) (e21)) = (e20)) -> (~((e20) = (e23))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((e21) = (e23))) -> False).
% 42.98/43.23 do 0 intro. intros zenon_H2c7 zenon_H2d7 zenon_H204 zenon_H20a zenon_H23e zenon_H23a zenon_H234 zenon_H2c zenon_H242 zenon_H290 zenon_H2f1 zenon_H2e3 zenon_H2eb zenon_H2e6 zenon_H2de zenon_H2ee zenon_H226 zenon_H2f3 zenon_H288 zenon_H274 zenon_H316 zenon_H2d6 zenon_H80 zenon_H311 zenon_H321 zenon_H264 zenon_H279 zenon_H26a zenon_H22a zenon_H33 zenon_H22b zenon_H26e zenon_H276.
% 42.98/43.23 apply (zenon_or_s _ _ zenon_H2c7); [ zenon_intro zenon_H1a | zenon_intro zenon_H2c8 ].
% 42.98/43.23 apply (zenon_L4_); trivial.
% 42.98/43.23 apply (zenon_or_s _ _ zenon_H2c8); [ zenon_intro zenon_H1fd | zenon_intro zenon_H2c9 ].
% 42.98/43.23 apply (zenon_L207_); trivial.
% 42.98/43.23 apply (zenon_or_s _ _ zenon_H2c9); [ zenon_intro zenon_H208 | zenon_intro zenon_H2ca ].
% 42.98/43.23 apply (zenon_L154_); trivial.
% 42.98/43.23 apply (zenon_or_s _ _ zenon_H2ca); [ zenon_intro zenon_H210 | zenon_intro zenon_H2cb ].
% 42.98/43.23 apply (zenon_L156_); trivial.
% 42.98/43.23 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H213 | zenon_intro zenon_H2cc ].
% 42.98/43.23 apply (zenon_L211_); trivial.
% 42.98/43.23 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H21b | zenon_intro zenon_H2cd ].
% 42.98/43.23 apply (zenon_L160_); trivial.
% 42.98/43.23 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H225 | zenon_intro zenon_H2ce ].
% 42.98/43.23 apply (zenon_L161_); trivial.
% 42.98/43.23 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H231 | zenon_intro zenon_H2cf ].
% 42.98/43.23 apply (zenon_L164_); trivial.
% 42.98/43.23 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_H245 | zenon_intro zenon_H2d0 ].
% 42.98/43.23 apply (zenon_L169_); trivial.
% 42.98/43.23 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H2a5 | zenon_intro zenon_H2d1 ].
% 42.98/43.23 apply (zenon_L219_); trivial.
% 42.98/43.23 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H2ae | zenon_intro zenon_H2d2 ].
% 42.98/43.23 apply (zenon_L198_); trivial.
% 42.98/43.23 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H2b0 | zenon_intro zenon_H2d3 ].
% 42.98/43.23 apply (zenon_L199_); trivial.
% 42.98/43.23 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H2b3 | zenon_intro zenon_H2d4 ].
% 42.98/43.23 apply (zenon_L239_); trivial.
% 42.98/43.23 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_H2bc | zenon_intro zenon_H2d5 ].
% 42.98/43.23 apply (zenon_L202_); trivial.
% 42.98/43.23 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2c5 ].
% 42.98/43.23 apply (zenon_L203_); trivial.
% 42.98/43.23 apply (zenon_L204_); trivial.
% 42.98/43.23 (* end of lemma zenon_L247_ *)
% 42.98/43.23 assert (zenon_L248_ : ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((e21) = (e23))) -> ((op2 (e23) (e23)) = (e21)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((e20) = (e23))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((e20) = (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))))))))))))))))) -> (~((e20) = (e22))) -> ((op2 (e21) (e21)) = (e20)) -> (~((e22) = (e23))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((e21) = (e22))) -> False).
% 42.98/43.23 do 0 intro. intros zenon_H32b zenon_H2f3 zenon_H2ee zenon_H2de zenon_H2e3 zenon_H290 zenon_H242 zenon_H234 zenon_H23a zenon_H23e zenon_H276 zenon_H274 zenon_H264 zenon_H321 zenon_H311 zenon_H80 zenon_H316 zenon_H31e zenon_H93 zenon_H2fe zenon_H30e zenon_H30b zenon_H2eb zenon_H2e6 zenon_H20a zenon_H2c zenon_H204 zenon_H2d7 zenon_H2c7 zenon_H304 zenon_H2d6 zenon_H288 zenon_H279 zenon_H26a zenon_H22a zenon_H33 zenon_H22b zenon_H26e zenon_H2f1.
% 42.98/43.23 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H226 | zenon_intro zenon_H32c ].
% 42.98/43.23 apply (zenon_L247_); trivial.
% 42.98/43.23 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H25a | zenon_intro zenon_H32d ].
% 42.98/43.23 apply (zenon_L242_); trivial.
% 42.98/43.23 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H328 | zenon_intro zenon_H32e ].
% 42.98/43.23 apply (zenon_L244_); trivial.
% 42.98/43.23 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H2ab | zenon_intro zenon_H31a ].
% 42.98/43.23 apply (zenon_L197_); trivial.
% 42.98/43.23 apply (zenon_L245_); trivial.
% 42.98/43.23 (* end of lemma zenon_L248_ *)
% 42.98/43.23 assert (zenon_L249_ : ((~((op2 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((op2 (e20) (e20)) = (e22)) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e21)) = (e21))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((e21) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((e20) = (e23))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((e20) = (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))))))))))))))))) -> (~((e20) = (e22))) -> ((op2 (e21) (e21)) = (e20)) -> (~((e22) = (e23))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((e21) = (e22))) -> False).
% 42.98/43.23 do 0 intro. intros zenon_H32f zenon_H25a zenon_H324 zenon_H301 zenon_H2f6 zenon_H2f9 zenon_H25d zenon_H21a zenon_H32b zenon_H2f3 zenon_H2ee zenon_H2de zenon_H2e3 zenon_H290 zenon_H242 zenon_H234 zenon_H23a zenon_H23e zenon_H276 zenon_H264 zenon_H321 zenon_H311 zenon_H80 zenon_H316 zenon_H31e zenon_H93 zenon_H2fe zenon_H30e zenon_H30b zenon_H2eb zenon_H2e6 zenon_H20a zenon_H2c zenon_H204 zenon_H2d7 zenon_H2c7 zenon_H304 zenon_H2d6 zenon_H288 zenon_H279 zenon_H26a zenon_H22a zenon_H33 zenon_H22b zenon_H26e zenon_H2f1.
% 42.98/43.23 apply (zenon_or_s _ _ zenon_H32f); [ zenon_intro zenon_H310 | zenon_intro zenon_H325 ].
% 42.98/43.23 apply (zenon_L243_); trivial.
% 42.98/43.23 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H309 | zenon_intro zenon_H326 ].
% 42.98/43.23 apply (zenon_L246_); trivial.
% 42.98/43.23 apply (zenon_or_s _ _ zenon_H326); [ zenon_intro zenon_H219 | zenon_intro zenon_H327 ].
% 42.98/43.23 exact (zenon_H21a zenon_H219).
% 42.98/43.23 apply (zenon_or_s _ _ zenon_H327); [ zenon_intro zenon_H2e1 | zenon_intro zenon_H274 ].
% 42.98/43.23 apply (zenon_L209_); trivial.
% 42.98/43.23 apply (zenon_L248_); trivial.
% 42.98/43.23 (* end of lemma zenon_L249_ *)
% 42.98/43.23 assert (zenon_L250_ : ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))))))))))))))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((e20) = (e23))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((e21) = (e23))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (~((e20) = (e22))) -> ((op2 (e21) (e21)) = (e20)) -> (~((e22) = (e23))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((e21) = (e22))) -> False).
% 42.98/43.23 do 0 intro. intros zenon_H2c7 zenon_H2d7 zenon_H204 zenon_H2c zenon_H20a zenon_H2e6 zenon_H2eb zenon_H30b zenon_H30e zenon_H2fe zenon_H93 zenon_H31e zenon_H316 zenon_H80 zenon_H311 zenon_H321 zenon_H264 zenon_H276 zenon_H23e zenon_H23a zenon_H234 zenon_H242 zenon_H290 zenon_H2e3 zenon_H2de zenon_H2ee zenon_H2f3 zenon_H32b zenon_H21a zenon_H25d zenon_H2f9 zenon_H2f6 zenon_H301 zenon_H324 zenon_H32f zenon_H304 zenon_H2d6 zenon_H288 zenon_H279 zenon_H26a zenon_H22a zenon_H33 zenon_H22b zenon_H26e zenon_H2f1.
% 42.98/43.23 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H226 | zenon_intro zenon_H32c ].
% 42.98/43.23 apply (zenon_L225_); trivial.
% 42.98/43.23 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H25a | zenon_intro zenon_H32d ].
% 42.98/43.23 apply (zenon_L249_); trivial.
% 42.98/43.23 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H328 | zenon_intro zenon_H32e ].
% 42.98/43.23 apply (zenon_L244_); trivial.
% 42.98/43.23 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H2ab | zenon_intro zenon_H31a ].
% 42.98/43.23 apply (zenon_L197_); trivial.
% 42.98/43.23 apply (zenon_L245_); trivial.
% 42.98/43.23 (* end of lemma zenon_L250_ *)
% 42.98/43.23 assert (zenon_L251_ : ((~((op2 (e21) (e21)) = (e21)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((e21) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((e20) = (e23))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((e20) = (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))))))))))))))))) -> (~((e20) = (e22))) -> ((op2 (e21) (e21)) = (e20)) -> (~((e22) = (e23))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((e21) = (e22))) -> False).
% 42.98/43.23 do 0 intro. intros zenon_H330 zenon_H32f zenon_H324 zenon_H301 zenon_H2f6 zenon_H2f9 zenon_H25d zenon_H32b zenon_H2f3 zenon_H2ee zenon_H2de zenon_H2e3 zenon_H290 zenon_H242 zenon_H234 zenon_H23a zenon_H23e zenon_H276 zenon_H264 zenon_H321 zenon_H311 zenon_H80 zenon_H316 zenon_H31e zenon_H93 zenon_H2fe zenon_H30e zenon_H30b zenon_H2eb zenon_H2e6 zenon_H20a zenon_H2c zenon_H204 zenon_H2d7 zenon_H2c7 zenon_H304 zenon_H2d6 zenon_H288 zenon_H279 zenon_H26a zenon_H22a zenon_H33 zenon_H22b zenon_H26e zenon_H2f1.
% 42.98/43.23 apply (zenon_or_s _ _ zenon_H330); [ zenon_intro zenon_H21a | zenon_intro zenon_H325 ].
% 42.98/43.23 apply (zenon_L250_); trivial.
% 42.98/43.23 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H309 | zenon_intro zenon_H326 ].
% 42.98/43.23 apply (zenon_L246_); trivial.
% 42.98/43.23 apply (zenon_or_s _ _ zenon_H326); [ zenon_intro zenon_H219 | zenon_intro zenon_H327 ].
% 42.98/43.23 apply (zenon_L212_); trivial.
% 42.98/43.23 apply (zenon_or_s _ _ zenon_H327); [ zenon_intro zenon_H2e1 | zenon_intro zenon_H274 ].
% 42.98/43.23 apply (zenon_L209_); trivial.
% 42.98/43.23 apply (zenon_L248_); trivial.
% 42.98/43.23 (* end of lemma zenon_L251_ *)
% 42.98/43.23 assert (zenon_L252_ : ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((op2 (e23) (e23)) = (e20)) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> False).
% 42.98/43.23 do 0 intro. intros zenon_H2c zenon_H331 zenon_H33 zenon_H26e.
% 42.98/43.23 elim (classic ((op2 (e23) (e23)) = (op2 (e23) (e23)))); [ zenon_intro zenon_H332 | zenon_intro zenon_H333 ].
% 42.98/43.23 cut (((op2 (e23) (e23)) = (op2 (e23) (e23))) = ((op2 (e23) (e22)) = (op2 (e23) (e23)))).
% 42.98/43.23 intro zenon_D_pnotp.
% 42.98/43.23 apply zenon_H26e.
% 42.98/43.23 rewrite <- zenon_D_pnotp.
% 42.98/43.23 exact zenon_H332.
% 42.98/43.23 cut (((op2 (e23) (e23)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H333].
% 42.98/43.23 cut (((op2 (e23) (e23)) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H334].
% 42.98/43.23 congruence.
% 42.98/43.23 cut (((e20) = (op2 (op2 (e22) (e22)) (e22))) = ((op2 (e23) (e23)) = (op2 (e23) (e22)))).
% 42.98/43.23 intro zenon_D_pnotp.
% 42.98/43.23 apply zenon_H334.
% 42.98/43.23 rewrite <- zenon_D_pnotp.
% 42.98/43.23 exact zenon_H2c.
% 42.98/43.23 cut (((op2 (op2 (e22) (e22)) (e22)) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H202].
% 42.98/43.23 cut (((e20) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H335].
% 42.98/43.23 congruence.
% 42.98/43.23 elim (classic ((op2 (e23) (e23)) = (op2 (e23) (e23)))); [ zenon_intro zenon_H332 | zenon_intro zenon_H333 ].
% 42.98/43.23 cut (((op2 (e23) (e23)) = (op2 (e23) (e23))) = ((e20) = (op2 (e23) (e23)))).
% 42.98/43.23 intro zenon_D_pnotp.
% 42.98/43.23 apply zenon_H335.
% 42.98/43.23 rewrite <- zenon_D_pnotp.
% 42.98/43.23 exact zenon_H332.
% 42.98/43.23 cut (((op2 (e23) (e23)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H333].
% 42.98/43.23 cut (((op2 (e23) (e23)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H336].
% 42.98/43.23 congruence.
% 42.98/43.23 exact (zenon_H336 zenon_H331).
% 42.98/43.23 apply zenon_H333. apply refl_equal.
% 42.98/43.23 apply zenon_H333. apply refl_equal.
% 42.98/43.23 apply (zenon_L152_); trivial.
% 42.98/43.23 apply zenon_H333. apply refl_equal.
% 42.98/43.23 apply zenon_H333. apply refl_equal.
% 42.98/43.23 (* end of lemma zenon_L252_ *)
% 42.98/43.23 assert (zenon_L253_ : (((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23)))))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((e21) = (e23))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e20)) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((e20) = (e23))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (e23))) -> False).
% 42.98/43.23 do 0 intro. intros zenon_H1fd zenon_Ha8 zenon_H276 zenon_H26e zenon_H22b zenon_H22a zenon_H26a zenon_H279 zenon_H264 zenon_H260 zenon_H253 zenon_H256 zenon_H25a zenon_H25d zenon_H27c zenon_H24d zenon_H249 zenon_H27d zenon_H85 zenon_Ha2 zenon_H93 zenon_H80 zenon_H33 zenon_H9c zenon_Ha3.
% 42.98/43.23 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_H7e. zenon_intro zenon_H200.
% 42.98/43.23 apply (zenon_and_s _ _ zenon_H200). zenon_intro zenon_H99. zenon_intro zenon_H1c.
% 42.98/43.23 apply (zenon_L184_); trivial.
% 42.98/43.23 (* end of lemma zenon_L253_ *)
% 42.98/43.23 assert (zenon_L254_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> ((op2 (e20) (e20)) = (e22)) -> (~((e21) = (e22))) -> (~((op2 (e21) (e20)) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e22) (e21)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((e23) = (op2 (e22) (e22))) -> False).
% 42.98/43.23 do 0 intro. intros zenon_H30b zenon_H25a zenon_H2f1 zenon_H214 zenon_H2eb zenon_H2e9 zenon_H26a zenon_H22b zenon_H33.
% 42.98/43.23 apply (zenon_or_s _ _ zenon_H30b); [ zenon_intro zenon_H309 | zenon_intro zenon_H30c ].
% 42.98/43.23 apply (zenon_L230_); trivial.
% 42.98/43.23 apply (zenon_or_s _ _ zenon_H30c); [ zenon_intro zenon_H216 | zenon_intro zenon_H30d ].
% 42.98/43.23 exact (zenon_H214 zenon_H216).
% 42.98/43.23 apply (zenon_or_s _ _ zenon_H30d); [ zenon_intro zenon_H2ea | zenon_intro zenon_H26b ].
% 42.98/43.23 apply (zenon_L214_); trivial.
% 42.98/43.23 apply (zenon_L180_); trivial.
% 42.98/43.23 (* end of lemma zenon_L254_ *)
% 42.98/43.23 assert (zenon_L255_ : (((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23)))))))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> ((op2 (e20) (e20)) = (e22)) -> (~((e21) = (e22))) -> (~((op2 (e21) (e20)) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((e23) = (op2 (e22) (e22))) -> False).
% 42.98/43.23 do 0 intro. intros zenon_H225 zenon_H30b zenon_H25a zenon_H2f1 zenon_H214 zenon_H2eb zenon_H26a zenon_H22b zenon_H33.
% 42.98/43.23 apply (zenon_and_s _ _ zenon_H225). zenon_intro zenon_H228. zenon_intro zenon_H227.
% 42.98/43.23 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_H2e9. zenon_intro zenon_H21d.
% 42.98/43.23 apply (zenon_L254_); trivial.
% 42.98/43.23 (* end of lemma zenon_L255_ *)
% 42.98/43.23 assert (zenon_L256_ : ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((op2 (e21) (e20)) = (e21))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((e21) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((e22) = (e23))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((op2 (e20) (e20)) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((e20) = (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))))))))))))))))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((e20) = (e22))) -> (~((op2 (e22) (e21)) = (e22))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (~((e20) = (e23))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> False).
% 42.98/43.23 do 0 intro. intros zenon_H337 zenon_H214 zenon_Ha8 zenon_H260 zenon_H253 zenon_H256 zenon_H25d zenon_H27c zenon_H24d zenon_H249 zenon_H27d zenon_H85 zenon_Ha2 zenon_H9c zenon_H15 zenon_H276 zenon_H264 zenon_H321 zenon_H311 zenon_H316 zenon_H288 zenon_H31e zenon_H25a zenon_H93 zenon_H2fe zenon_H2f1 zenon_H30e zenon_H22a zenon_H22b zenon_H30b zenon_H2eb zenon_H26a zenon_H2e6 zenon_H20a zenon_H204 zenon_H2d7 zenon_H2c7 zenon_H21a zenon_H304 zenon_H310 zenon_H279 zenon_H324 zenon_H80 zenon_H2c zenon_H33 zenon_H26e.
% 42.98/43.23 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H338 ].
% 42.98/43.23 apply (zenon_or_s _ _ zenon_H2c7); [ zenon_intro zenon_H1a | zenon_intro zenon_H2c8 ].
% 42.98/43.23 apply (zenon_L227_); trivial.
% 42.98/43.23 apply (zenon_or_s _ _ zenon_H2c8); [ zenon_intro zenon_H1fd | zenon_intro zenon_H2c9 ].
% 42.98/43.23 apply (zenon_L253_); trivial.
% 42.98/43.23 apply (zenon_or_s _ _ zenon_H2c9); [ zenon_intro zenon_H208 | zenon_intro zenon_H2ca ].
% 42.98/43.23 apply (zenon_L154_); trivial.
% 42.98/43.23 apply (zenon_or_s _ _ zenon_H2ca); [ zenon_intro zenon_H210 | zenon_intro zenon_H2cb ].
% 42.98/43.23 apply (zenon_L156_); trivial.
% 42.98/43.23 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H213 | zenon_intro zenon_H2cc ].
% 42.98/43.23 apply (zenon_L157_); trivial.
% 42.98/43.23 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H21b | zenon_intro zenon_H2cd ].
% 42.98/43.23 apply (zenon_L160_); trivial.
% 42.98/43.23 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H225 | zenon_intro zenon_H2ce ].
% 42.98/43.23 apply (zenon_L255_); trivial.
% 42.98/43.23 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H231 | zenon_intro zenon_H2cf ].
% 42.98/43.23 apply (zenon_L164_); trivial.
% 42.98/43.23 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_H245 | zenon_intro zenon_H2d0 ].
% 42.98/43.23 apply (zenon_L232_); trivial.
% 42.98/43.23 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H2a5 | zenon_intro zenon_H2d1 ].
% 42.98/43.23 apply (zenon_L233_); trivial.
% 42.98/43.23 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H2ae | zenon_intro zenon_H2d2 ].
% 42.98/43.23 apply (zenon_L198_); trivial.
% 42.98/43.23 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H2b0 | zenon_intro zenon_H2d3 ].
% 42.98/43.23 apply (zenon_L199_); trivial.
% 42.98/43.23 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H2b3 | zenon_intro zenon_H2d4 ].
% 42.98/43.23 apply (zenon_L200_); trivial.
% 42.98/43.23 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_H2bc | zenon_intro zenon_H2d5 ].
% 42.98/43.23 apply (zenon_L202_); trivial.
% 42.98/43.23 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2c5 ].
% 42.98/43.23 apply (zenon_L203_); trivial.
% 42.98/43.23 apply (zenon_L204_); trivial.
% 42.98/43.23 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ].
% 42.98/43.23 exact (zenon_H15 zenon_H14).
% 42.98/43.23 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ].
% 42.98/43.23 apply (zenon_L243_); trivial.
% 42.98/43.23 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ].
% 42.98/43.23 apply (zenon_L173_); trivial.
% 42.98/43.23 apply (zenon_L252_); trivial.
% 42.98/43.23 (* end of lemma zenon_L256_ *)
% 42.98/43.23 assert (zenon_L257_ : ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))))))))))))))))) -> (~((e20) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((e20) = (e23))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (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 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e20)) = (e21))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((e21) = (e22))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((op2 (e20) (e20)) = (e22)) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e22) = (e23))) -> (~((op2 (e23) (e20)) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> ((op2 (e23) (e23)) = (e21)) -> (~((e21) = (e23))) -> False).
% 42.98/43.23 do 0 intro. intros zenon_H2c7 zenon_H304 zenon_H9c zenon_H80 zenon_Ha2 zenon_H85 zenon_H27d zenon_H249 zenon_H24d zenon_H27c zenon_H25d zenon_H256 zenon_H253 zenon_H260 zenon_H279 zenon_H26e zenon_Ha8 zenon_H204 zenon_H2c zenon_H20a zenon_H26a zenon_H2eb zenon_H214 zenon_H30b zenon_H22b zenon_H22a zenon_H30e zenon_H2f1 zenon_H2fe zenon_H93 zenon_H25a zenon_H31e zenon_H288 zenon_Ha3 zenon_H264 zenon_H33 zenon_H274 zenon_H276.
% 42.98/43.23 apply (zenon_or_s _ _ zenon_H2c7); [ zenon_intro zenon_H1a | zenon_intro zenon_H2c8 ].
% 42.98/43.23 apply (zenon_L227_); trivial.
% 42.98/43.23 apply (zenon_or_s _ _ zenon_H2c8); [ zenon_intro zenon_H1fd | zenon_intro zenon_H2c9 ].
% 42.98/43.23 apply (zenon_L253_); trivial.
% 42.98/43.23 apply (zenon_or_s _ _ zenon_H2c9); [ zenon_intro zenon_H208 | zenon_intro zenon_H2ca ].
% 42.98/43.23 apply (zenon_L154_); trivial.
% 42.98/43.23 apply (zenon_or_s _ _ zenon_H2ca); [ zenon_intro zenon_H210 | zenon_intro zenon_H2cb ].
% 42.98/43.23 apply (zenon_L156_); trivial.
% 42.98/43.23 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H213 | zenon_intro zenon_H2cc ].
% 42.98/43.23 apply (zenon_L157_); trivial.
% 42.98/43.23 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H21b | zenon_intro zenon_H2cd ].
% 42.98/43.23 apply (zenon_L160_); trivial.
% 42.98/43.23 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H225 | zenon_intro zenon_H2ce ].
% 42.98/43.23 apply (zenon_L255_); trivial.
% 42.98/43.23 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H231 | zenon_intro zenon_H2cf ].
% 42.98/43.23 apply (zenon_L164_); trivial.
% 42.98/43.23 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_H245 | zenon_intro zenon_H2d0 ].
% 42.98/43.23 apply (zenon_L232_); trivial.
% 42.98/43.23 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H2a5 | zenon_intro zenon_H2d1 ].
% 42.98/43.23 apply (zenon_L238_); trivial.
% 42.98/43.23 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H2ae | zenon_intro zenon_H2d2 ].
% 42.98/43.23 apply (zenon_L198_); trivial.
% 42.98/43.23 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H2b0 | zenon_intro zenon_H2d3 ].
% 42.98/43.23 apply (zenon_L199_); trivial.
% 42.98/43.23 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H2b3 | zenon_intro zenon_H2d4 ].
% 42.98/43.23 apply (zenon_L200_); trivial.
% 42.98/43.23 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_H2bc | zenon_intro zenon_H2d5 ].
% 42.98/43.23 apply (zenon_L240_); trivial.
% 42.98/43.23 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2c5 ].
% 42.98/43.23 apply (zenon_L203_); trivial.
% 42.98/43.23 apply (zenon_L241_); trivial.
% 42.98/43.23 (* end of lemma zenon_L257_ *)
% 42.98/43.23 assert (zenon_L258_ : ((~((op2 (e21) (e21)) = (e21)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e20) = (e22))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))))))))))))))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((e20) = (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((e21) = (e22))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((op2 (e20) (e20)) = (e22)) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e22) = (e23))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((op2 (e21) (e21)) = (e20)) -> (~((e20) = (e23))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> (~((e21) = (e23))) -> False).
% 42.98/43.23 do 0 intro. intros zenon_H330 zenon_H26e zenon_H279 zenon_H304 zenon_H23e zenon_H23a zenon_H234 zenon_H242 zenon_H290 zenon_H2e3 zenon_H2de zenon_H2ee zenon_H2f3 zenon_H32b zenon_H25d zenon_H2f9 zenon_H2f6 zenon_H301 zenon_H324 zenon_H32f zenon_H2c7 zenon_H2d7 zenon_H204 zenon_H2c zenon_H20a zenon_H2e6 zenon_H26a zenon_H2eb zenon_H30b zenon_H22b zenon_H22a zenon_H30e zenon_H2f1 zenon_H2fe zenon_H93 zenon_H25a zenon_H31e zenon_H288 zenon_H316 zenon_H2d6 zenon_H80 zenon_H311 zenon_H321 zenon_H264 zenon_H33 zenon_H276.
% 42.98/43.24 apply (zenon_or_s _ _ zenon_H330); [ zenon_intro zenon_H21a | zenon_intro zenon_H325 ].
% 42.98/43.24 apply (zenon_L249_); trivial.
% 42.98/43.24 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H309 | zenon_intro zenon_H326 ].
% 42.98/43.24 apply (zenon_L230_); trivial.
% 42.98/43.24 apply (zenon_or_s _ _ zenon_H326); [ zenon_intro zenon_H219 | zenon_intro zenon_H327 ].
% 42.98/43.24 apply (zenon_L212_); trivial.
% 42.98/43.24 apply (zenon_or_s _ _ zenon_H327); [ zenon_intro zenon_H2e1 | zenon_intro zenon_H274 ].
% 42.98/43.24 apply (zenon_L209_); trivial.
% 42.98/43.24 apply (zenon_L242_); trivial.
% 42.98/43.24 (* end of lemma zenon_L258_ *)
% 42.98/43.24 assert (zenon_L259_ : ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> ((op2 (e23) (e23)) = (e21)) -> (~((op2 (e21) (e20)) = (e21))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (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))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((e21) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((e22) = (e23))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((op2 (e20) (e20)) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((e20) = (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))))))))))))))))) -> ((~((op2 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> ((~((op2 (e21) (e21)) = (e21)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (~((e20) = (e23))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> False).
% 42.98/43.24 do 0 intro. intros zenon_H337 zenon_H274 zenon_H214 zenon_Ha8 zenon_H260 zenon_H253 zenon_H256 zenon_H27c zenon_H24d zenon_H249 zenon_H27d zenon_H85 zenon_Ha2 zenon_H9c zenon_H15 zenon_H276 zenon_H264 zenon_H321 zenon_H311 zenon_H316 zenon_H288 zenon_H31e zenon_H25a zenon_H93 zenon_H2fe zenon_H2f1 zenon_H30e zenon_H22a zenon_H22b zenon_H30b zenon_H2eb zenon_H26a zenon_H2e6 zenon_H20a zenon_H204 zenon_H2d7 zenon_H2c7 zenon_H32f zenon_H324 zenon_H301 zenon_H2f6 zenon_H2f9 zenon_H25d zenon_H32b zenon_H2f3 zenon_H2ee zenon_H2de zenon_H2e3 zenon_H290 zenon_H242 zenon_H234 zenon_H23a zenon_H23e zenon_H304 zenon_H279 zenon_H330 zenon_H80 zenon_H2c zenon_H33 zenon_H26e.
% 42.98/43.24 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H338 ].
% 42.98/43.24 apply (zenon_L257_); trivial.
% 42.98/43.24 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ].
% 42.98/43.24 exact (zenon_H15 zenon_H14).
% 42.98/43.24 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ].
% 42.98/43.24 apply (zenon_L258_); trivial.
% 42.98/43.24 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ].
% 42.98/43.24 apply (zenon_L173_); trivial.
% 42.98/43.24 apply (zenon_L252_); trivial.
% 42.98/43.24 (* end of lemma zenon_L259_ *)
% 42.98/43.24 assert (zenon_L260_ : ((~((op2 (e21) (e20)) = (e21)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((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)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> ((op2 (e23) (e23)) = (e21)) -> ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((e21) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((e22) = (e23))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((op2 (e20) (e20)) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((e20) = (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))))))))))))))))) -> ((~((op2 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> ((~((op2 (e21) (e21)) = (e21)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (~((e20) = (e23))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> False).
% 42.98/43.24 do 0 intro. intros zenon_H33b zenon_H9c zenon_Ha2 zenon_H85 zenon_H27d zenon_H249 zenon_H24d zenon_H27c zenon_H256 zenon_H253 zenon_H260 zenon_Ha8 zenon_H274 zenon_H337 zenon_H15 zenon_H276 zenon_H264 zenon_H321 zenon_H311 zenon_H316 zenon_H288 zenon_H31e zenon_H25a zenon_H93 zenon_H2fe zenon_H2f1 zenon_H30e zenon_H22a zenon_H22b zenon_H30b zenon_H2eb zenon_H26a zenon_H2e6 zenon_H20a zenon_H204 zenon_H2d7 zenon_H2c7 zenon_H32f zenon_H324 zenon_H301 zenon_H2f6 zenon_H2f9 zenon_H25d zenon_H32b zenon_H2f3 zenon_H2ee zenon_H2de zenon_H2e3 zenon_H290 zenon_H242 zenon_H234 zenon_H23a zenon_H23e zenon_H304 zenon_H279 zenon_H330 zenon_H80 zenon_H2c zenon_H33 zenon_H26e.
% 42.98/43.24 apply (zenon_or_s _ _ zenon_H33b); [ zenon_intro zenon_H214 | zenon_intro zenon_H338 ].
% 42.98/43.24 apply (zenon_L259_); trivial.
% 42.98/43.24 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ].
% 42.98/43.24 exact (zenon_H15 zenon_H14).
% 42.98/43.24 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ].
% 42.98/43.24 apply (zenon_L258_); trivial.
% 42.98/43.24 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ].
% 42.98/43.24 apply (zenon_L173_); trivial.
% 42.98/43.24 apply (zenon_L252_); trivial.
% 42.98/43.24 (* end of lemma zenon_L260_ *)
% 42.98/43.24 assert (zenon_L261_ : (~((op2 (e21) (e20)) = (e21))) -> (~((op2 (e21) (e21)) = (e21))) -> ((~((op2 (e21) (e20)) = (e21)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((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)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((e21) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((e22) = (e23))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((op2 (e20) (e20)) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((e20) = (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))))))))))))))))) -> ((~((op2 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> ((~((op2 (e21) (e21)) = (e21)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (~((e20) = (e23))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> False).
% 42.98/43.24 do 0 intro. intros zenon_H214 zenon_H21a zenon_H33b zenon_H9c zenon_Ha2 zenon_H85 zenon_H27d zenon_H249 zenon_H24d zenon_H27c zenon_H256 zenon_H253 zenon_H260 zenon_Ha8 zenon_H337 zenon_H15 zenon_H276 zenon_H264 zenon_H321 zenon_H311 zenon_H316 zenon_H288 zenon_H31e zenon_H25a zenon_H93 zenon_H2fe zenon_H2f1 zenon_H30e zenon_H22a zenon_H22b zenon_H30b zenon_H2eb zenon_H26a zenon_H2e6 zenon_H20a zenon_H204 zenon_H2d7 zenon_H2c7 zenon_H32f zenon_H324 zenon_H301 zenon_H2f6 zenon_H2f9 zenon_H25d zenon_H32b zenon_H2f3 zenon_H2ee zenon_H2de zenon_H2e3 zenon_H290 zenon_H242 zenon_H234 zenon_H23a zenon_H23e zenon_H304 zenon_H279 zenon_H330 zenon_H80 zenon_H2c zenon_H33 zenon_H26e.
% 42.98/43.24 apply (zenon_or_s _ _ zenon_H32f); [ zenon_intro zenon_H310 | zenon_intro zenon_H325 ].
% 42.98/43.24 apply (zenon_L256_); trivial.
% 42.98/43.24 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H309 | zenon_intro zenon_H326 ].
% 42.98/43.24 apply (zenon_L230_); trivial.
% 42.98/43.24 apply (zenon_or_s _ _ zenon_H326); [ zenon_intro zenon_H219 | zenon_intro zenon_H327 ].
% 42.98/43.24 exact (zenon_H21a zenon_H219).
% 42.98/43.24 apply (zenon_or_s _ _ zenon_H327); [ zenon_intro zenon_H2e1 | zenon_intro zenon_H274 ].
% 42.98/43.24 apply (zenon_L209_); trivial.
% 42.98/43.24 apply (zenon_L260_); trivial.
% 42.98/43.24 (* end of lemma zenon_L261_ *)
% 42.98/43.24 assert (zenon_L262_ : ((op2 (e21) (e21)) = (e22)) -> ((op2 (e20) (e21)) = (e22)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> False).
% 42.98/43.24 do 0 intro. intros zenon_H328 zenon_H283 zenon_H2d7.
% 42.98/43.24 elim (classic ((op2 (e21) (e21)) = (op2 (e21) (e21)))); [ zenon_intro zenon_H2d8 | zenon_intro zenon_H2d9 ].
% 42.98/43.24 cut (((op2 (e21) (e21)) = (op2 (e21) (e21))) = ((op2 (e20) (e21)) = (op2 (e21) (e21)))).
% 42.98/43.24 intro zenon_D_pnotp.
% 42.98/43.24 apply zenon_H2d7.
% 42.98/43.24 rewrite <- zenon_D_pnotp.
% 42.98/43.24 exact zenon_H2d8.
% 42.98/43.24 cut (((op2 (e21) (e21)) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H2d9].
% 42.98/43.24 cut (((op2 (e21) (e21)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H2da].
% 42.98/43.24 congruence.
% 42.98/43.24 cut (((op2 (e21) (e21)) = (e22)) = ((op2 (e21) (e21)) = (op2 (e20) (e21)))).
% 42.98/43.24 intro zenon_D_pnotp.
% 42.98/43.24 apply zenon_H2da.
% 42.98/43.24 rewrite <- zenon_D_pnotp.
% 42.98/43.24 exact zenon_H328.
% 42.98/43.24 cut (((e22) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H287].
% 42.98/43.24 cut (((op2 (e21) (e21)) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H2d9].
% 42.98/43.24 congruence.
% 42.98/43.24 apply zenon_H2d9. apply refl_equal.
% 42.98/43.24 apply zenon_H287. apply sym_equal. exact zenon_H283.
% 42.98/43.24 apply zenon_H2d9. apply refl_equal.
% 42.98/43.24 apply zenon_H2d9. apply refl_equal.
% 42.98/43.24 (* end of lemma zenon_L262_ *)
% 42.98/43.24 assert (zenon_L263_ : (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> ((op2 (e21) (e20)) = (e20)) -> ((op2 (e21) (e23)) = (e20)) -> False).
% 42.98/43.24 do 0 intro. intros zenon_H33c zenon_H99 zenon_H2f7.
% 42.98/43.24 cut (((op2 (e21) (e20)) = (e20)) = ((op2 (e21) (e20)) = (op2 (e21) (e23)))).
% 42.98/43.24 intro zenon_D_pnotp.
% 42.98/43.24 apply zenon_H33c.
% 42.98/43.24 rewrite <- zenon_D_pnotp.
% 42.98/43.24 exact zenon_H99.
% 42.98/43.24 cut (((e20) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H2f8].
% 42.98/43.24 cut (((op2 (e21) (e20)) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H24c].
% 42.98/43.24 congruence.
% 42.98/43.24 apply zenon_H24c. apply refl_equal.
% 42.98/43.24 apply zenon_H2f8. apply sym_equal. exact zenon_H2f7.
% 42.98/43.24 (* end of lemma zenon_L263_ *)
% 42.98/43.24 assert (zenon_L264_ : (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> ((op2 (e21) (e21)) = (e22)) -> ((op2 (e21) (e23)) = (e22)) -> False).
% 42.98/43.24 do 0 intro. intros zenon_H2f6 zenon_H328 zenon_H2ff.
% 42.98/43.24 cut (((op2 (e21) (e21)) = (e22)) = ((op2 (e21) (e21)) = (op2 (e21) (e23)))).
% 42.98/43.24 intro zenon_D_pnotp.
% 42.98/43.24 apply zenon_H2f6.
% 42.98/43.24 rewrite <- zenon_D_pnotp.
% 42.98/43.24 exact zenon_H328.
% 42.98/43.24 cut (((e22) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H300].
% 42.98/43.24 cut (((op2 (e21) (e21)) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H2d9].
% 42.98/43.24 congruence.
% 42.98/43.24 apply zenon_H2d9. apply refl_equal.
% 42.98/43.24 apply zenon_H300. apply sym_equal. exact zenon_H2ff.
% 42.98/43.24 (* end of lemma zenon_L264_ *)
% 42.98/43.24 assert (zenon_L265_ : (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> ((op2 (e21) (e20)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e21)) = (e22)) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e20) (e23)) = (e23)) -> False).
% 42.98/43.24 do 0 intro. intros zenon_H301 zenon_H99 zenon_H33c zenon_H33 zenon_H22b zenon_H2f9 zenon_H328 zenon_H2f6 zenon_H25d zenon_H92.
% 42.98/43.24 apply (zenon_or_s _ _ zenon_H301); [ zenon_intro zenon_H2f7 | zenon_intro zenon_H302 ].
% 42.98/43.24 apply (zenon_L263_); trivial.
% 42.98/43.24 apply (zenon_or_s _ _ zenon_H302); [ zenon_intro zenon_H233 | zenon_intro zenon_H303 ].
% 42.98/43.24 apply (zenon_L221_); trivial.
% 42.98/43.24 apply (zenon_or_s _ _ zenon_H303); [ zenon_intro zenon_H2ff | zenon_intro zenon_H25e ].
% 42.98/43.24 apply (zenon_L264_); trivial.
% 42.98/43.24 apply (zenon_L177_); trivial.
% 42.98/43.24 (* end of lemma zenon_L265_ *)
% 42.98/43.24 assert (zenon_L266_ : (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> ((op2 (e20) (e22)) = (e22)) -> ((op2 (e20) (e23)) = (e22)) -> False).
% 42.98/43.24 do 0 intro. intros zenon_H33d zenon_H23b zenon_H25b.
% 42.98/43.24 cut (((op2 (e20) (e22)) = (e22)) = ((op2 (e20) (e22)) = (op2 (e20) (e23)))).
% 42.98/43.24 intro zenon_D_pnotp.
% 42.98/43.24 apply zenon_H33d.
% 42.98/43.24 rewrite <- zenon_D_pnotp.
% 42.98/43.24 exact zenon_H23b.
% 42.98/43.24 cut (((e22) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H25c].
% 42.98/43.24 cut (((op2 (e20) (e22)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H8a].
% 42.98/43.24 congruence.
% 42.98/43.24 apply zenon_H8a. apply refl_equal.
% 42.98/43.24 apply zenon_H25c. apply sym_equal. exact zenon_H25b.
% 42.98/43.24 (* end of lemma zenon_L266_ *)
% 42.98/43.24 assert (zenon_L267_ : (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> ((op2 (e22) (e23)) = (e20)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e22)) = (e22)) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e21) (e23)) = (e23)) -> False).
% 42.98/43.24 do 0 intro. intros zenon_H260 zenon_H254 zenon_H253 zenon_H33 zenon_H22b zenon_H256 zenon_H23b zenon_H33d zenon_H25d zenon_H25e.
% 42.98/43.24 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H212 | zenon_intro zenon_H261 ].
% 42.98/43.24 apply (zenon_L174_); trivial.
% 42.98/43.24 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H257 | zenon_intro zenon_H262 ].
% 42.98/43.24 apply (zenon_L175_); trivial.
% 42.98/43.24 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H25b | zenon_intro zenon_H92 ].
% 42.98/43.24 apply (zenon_L266_); trivial.
% 42.98/43.24 apply (zenon_L177_); trivial.
% 42.98/43.24 (* end of lemma zenon_L267_ *)
% 42.98/43.24 assert (zenon_L268_ : (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> ((op2 (e21) (e21)) = (e22)) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> ((op2 (e21) (e20)) = (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) (e22)) = (op2 (e20) (e23)))) -> ((op2 (e20) (e22)) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e22) (e23)) = (e20)) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((e21) = (e23))) -> False).
% 42.98/43.24 do 0 intro. intros zenon_H27c zenon_H2f6 zenon_H328 zenon_H2f9 zenon_H33c zenon_H99 zenon_H301 zenon_H25d zenon_H33d zenon_H23b zenon_H256 zenon_H253 zenon_H254 zenon_H260 zenon_H264 zenon_H279 zenon_H26a zenon_H22a zenon_H33 zenon_H22b zenon_H26e zenon_H276.
% 42.98/43.24 apply (zenon_or_s _ _ zenon_H27c); [ zenon_intro zenon_H92 | zenon_intro zenon_H280 ].
% 42.98/43.24 apply (zenon_L265_); trivial.
% 42.98/43.24 apply (zenon_or_s _ _ zenon_H280); [ zenon_intro zenon_H25e | zenon_intro zenon_H281 ].
% 42.98/43.24 apply (zenon_L267_); trivial.
% 42.98/43.24 apply (zenon_or_s _ _ zenon_H281); [ zenon_intro zenon_H263 | zenon_intro zenon_H275 ].
% 42.98/43.24 apply (zenon_L179_); trivial.
% 42.98/43.24 apply (zenon_L183_); trivial.
% 42.98/43.24 (* end of lemma zenon_L268_ *)
% 42.98/43.24 assert (zenon_L269_ : (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e20) (e21)) = (e20)) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((e20) = (e23))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> ((op2 (e21) (e21)) = (e22)) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> ((op2 (e21) (e20)) = (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) (e22)) = (op2 (e20) (e23)))) -> ((op2 (e20) (e22)) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((e21) = (e23))) -> False).
% 42.98/43.24 do 0 intro. intros zenon_H27d zenon_H249 zenon_H7e zenon_H24d zenon_H80 zenon_H27c zenon_H2f6 zenon_H328 zenon_H2f9 zenon_H33c zenon_H99 zenon_H301 zenon_H25d zenon_H33d zenon_H23b zenon_H256 zenon_H253 zenon_H260 zenon_H264 zenon_H279 zenon_H26a zenon_H22a zenon_H33 zenon_H22b zenon_H26e zenon_H276.
% 42.98/43.24 apply (zenon_or_s _ _ zenon_H27d); [ zenon_intro zenon_H24a | zenon_intro zenon_H27e ].
% 42.98/43.24 apply (zenon_L170_); trivial.
% 42.98/43.24 apply (zenon_or_s _ _ zenon_H27e); [ zenon_intro zenon_H24e | zenon_intro zenon_H27f ].
% 42.98/43.24 apply (zenon_L171_); trivial.
% 42.98/43.24 apply (zenon_or_s _ _ zenon_H27f); [ zenon_intro zenon_H251 | zenon_intro zenon_H254 ].
% 42.98/43.24 apply (zenon_L173_); trivial.
% 42.98/43.24 apply (zenon_L268_); trivial.
% 42.98/43.24 (* end of lemma zenon_L269_ *)
% 42.98/43.24 assert (zenon_L270_ : (~((e21) = (e22))) -> ((op2 (e21) (e21)) = (e22)) -> ((op2 (e21) (e21)) = (e21)) -> False).
% 42.98/43.24 do 0 intro. intros zenon_H2f1 zenon_H328 zenon_H219.
% 42.98/43.24 cut (((op2 (e21) (e21)) = (e22)) = ((e21) = (e22))).
% 42.98/43.24 intro zenon_D_pnotp.
% 42.98/43.24 apply zenon_H2f1.
% 42.98/43.24 rewrite <- zenon_D_pnotp.
% 42.98/43.24 exact zenon_H328.
% 42.98/43.24 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H201].
% 42.98/43.24 cut (((op2 (e21) (e21)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H21a].
% 42.98/43.24 congruence.
% 42.98/43.24 exact (zenon_H21a zenon_H219).
% 42.98/43.24 apply zenon_H201. apply refl_equal.
% 42.98/43.24 (* end of lemma zenon_L270_ *)
% 42.98/43.24 assert (zenon_L271_ : (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((op2 (e20) (e22)) = (e21)) -> ((op2 (e21) (e21)) = (e22)) -> (~((e21) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((e23) = (op2 (e22) (e22))) -> False).
% 42.98/43.24 do 0 intro. intros zenon_H2ee zenon_H2de zenon_H2dc zenon_H328 zenon_H2f1 zenon_H2eb zenon_H2ea zenon_H22a zenon_H22b zenon_H33.
% 42.98/43.24 apply (zenon_or_s _ _ zenon_H2ee); [ zenon_intro zenon_H2dd | zenon_intro zenon_H2ef ].
% 42.98/43.24 apply (zenon_L208_); trivial.
% 42.98/43.24 apply (zenon_or_s _ _ zenon_H2ef); [ zenon_intro zenon_H219 | zenon_intro zenon_H2f0 ].
% 42.98/43.24 apply (zenon_L270_); trivial.
% 42.98/43.24 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_H2e9 | zenon_intro zenon_H22c ].
% 42.98/43.24 apply (zenon_L214_); trivial.
% 42.98/43.24 apply (zenon_L163_); trivial.
% 42.98/43.24 (* end of lemma zenon_L271_ *)
% 42.98/43.24 assert (zenon_L272_ : (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((e21) = (e22))) -> ((op2 (e21) (e21)) = (e22)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> ((e23) = (op2 (e22) (e22))) -> False).
% 42.98/43.24 do 0 intro. intros zenon_H33e zenon_H2c zenon_H204 zenon_H22b zenon_H22a zenon_H2ea zenon_H2eb zenon_H2f1 zenon_H328 zenon_H2de zenon_H2ee zenon_H23c zenon_H23a zenon_H85 zenon_H33.
% 42.98/43.24 apply (zenon_or_s _ _ zenon_H33e); [ zenon_intro zenon_H205 | zenon_intro zenon_H33f ].
% 42.98/43.24 apply (zenon_L153_); trivial.
% 42.98/43.24 apply (zenon_or_s _ _ zenon_H33f); [ zenon_intro zenon_H2dc | zenon_intro zenon_H340 ].
% 42.98/43.24 apply (zenon_L271_); trivial.
% 42.98/43.24 apply (zenon_or_s _ _ zenon_H340); [ zenon_intro zenon_H23b | zenon_intro zenon_H86 ].
% 42.98/43.24 apply (zenon_L166_); trivial.
% 42.98/43.24 apply (zenon_L26_); trivial.
% 42.98/43.24 (* end of lemma zenon_L272_ *)
% 42.98/43.24 assert (zenon_L273_ : (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e22)) -> ((op2 (e23) (e22)) = (e22)) -> False).
% 42.98/43.24 do 0 intro. intros zenon_H204 zenon_H23b zenon_H2b2.
% 42.98/43.24 cut (((op2 (e20) (e22)) = (e22)) = ((op2 (e20) (e22)) = (op2 (e23) (e22)))).
% 42.98/43.24 intro zenon_D_pnotp.
% 42.98/43.24 apply zenon_H204.
% 42.98/43.24 rewrite <- zenon_D_pnotp.
% 42.98/43.24 exact zenon_H23b.
% 42.98/43.24 cut (((e22) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H341].
% 42.98/43.24 cut (((op2 (e20) (e22)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H8a].
% 42.98/43.24 congruence.
% 42.98/43.24 apply zenon_H8a. apply refl_equal.
% 42.98/43.24 apply zenon_H341. apply sym_equal. exact zenon_H2b2.
% 42.98/43.24 (* end of lemma zenon_L273_ *)
% 42.98/43.24 assert (zenon_L274_ : (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((e21) = (e22))) -> ((op2 (e21) (e21)) = (e22)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> ((op2 (e23) (e22)) = (e22)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> ((e23) = (op2 (e22) (e22))) -> False).
% 42.98/43.24 do 0 intro. intros zenon_H33e zenon_H2c zenon_H22b zenon_H22a zenon_H2ea zenon_H2eb zenon_H2f1 zenon_H328 zenon_H2de zenon_H2ee zenon_H2b2 zenon_H204 zenon_H85 zenon_H33.
% 42.98/43.24 apply (zenon_or_s _ _ zenon_H33e); [ zenon_intro zenon_H205 | zenon_intro zenon_H33f ].
% 42.98/43.24 apply (zenon_L153_); trivial.
% 42.98/43.24 apply (zenon_or_s _ _ zenon_H33f); [ zenon_intro zenon_H2dc | zenon_intro zenon_H340 ].
% 42.98/43.24 apply (zenon_L271_); trivial.
% 42.98/43.24 apply (zenon_or_s _ _ zenon_H340); [ zenon_intro zenon_H23b | zenon_intro zenon_H86 ].
% 42.98/43.24 apply (zenon_L273_); trivial.
% 42.98/43.24 apply (zenon_L26_); trivial.
% 42.98/43.24 (* end of lemma zenon_L274_ *)
% 42.98/43.24 assert (zenon_L275_ : (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((e22) = (e23))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((e21) = (e22))) -> ((op2 (e21) (e21)) = (e22)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> ((e23) = (op2 (e22) (e22))) -> False).
% 42.98/43.24 do 0 intro. intros zenon_H342 zenon_H25b zenon_H33d zenon_H23a zenon_H288 zenon_H33e zenon_H2c zenon_H22b zenon_H22a zenon_H2ea zenon_H2eb zenon_H2f1 zenon_H328 zenon_H2de zenon_H2ee zenon_H204 zenon_H85 zenon_H33.
% 42.98/43.24 apply (zenon_or_s _ _ zenon_H342); [ zenon_intro zenon_H23b | zenon_intro zenon_H343 ].
% 42.98/43.24 apply (zenon_L266_); trivial.
% 42.98/43.24 apply (zenon_or_s _ _ zenon_H343); [ zenon_intro zenon_H23c | zenon_intro zenon_H344 ].
% 42.98/43.24 apply (zenon_L272_); trivial.
% 42.98/43.24 apply (zenon_or_s _ _ zenon_H344); [ zenon_intro zenon_H2ab | zenon_intro zenon_H2b2 ].
% 42.98/43.24 apply (zenon_L197_); trivial.
% 42.98/43.24 apply (zenon_L274_); trivial.
% 42.98/43.24 (* end of lemma zenon_L275_ *)
% 42.98/43.24 assert (zenon_L276_ : ((op2 (e22) (e21)) = (e21)) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> False).
% 42.98/43.24 do 0 intro. intros zenon_H2e9 zenon_H2dd zenon_H24d.
% 42.98/43.24 elim (classic ((op2 (e22) (e21)) = (op2 (e22) (e21)))); [ zenon_intro zenon_H284 | zenon_intro zenon_H285 ].
% 42.98/43.24 cut (((op2 (e22) (e21)) = (op2 (e22) (e21))) = ((op2 (e20) (e21)) = (op2 (e22) (e21)))).
% 42.98/43.24 intro zenon_D_pnotp.
% 42.98/43.24 apply zenon_H24d.
% 42.98/43.24 rewrite <- zenon_D_pnotp.
% 42.98/43.24 exact zenon_H284.
% 42.98/43.24 cut (((op2 (e22) (e21)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H285].
% 42.98/43.24 cut (((op2 (e22) (e21)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H286].
% 42.98/43.24 congruence.
% 42.98/43.24 cut (((op2 (e22) (e21)) = (e21)) = ((op2 (e22) (e21)) = (op2 (e20) (e21)))).
% 42.98/43.24 intro zenon_D_pnotp.
% 42.98/43.24 apply zenon_H286.
% 42.98/43.24 rewrite <- zenon_D_pnotp.
% 42.98/43.24 exact zenon_H2e9.
% 42.98/43.24 cut (((e21) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H2e0].
% 42.98/43.24 cut (((op2 (e22) (e21)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H285].
% 42.98/43.24 congruence.
% 42.98/43.24 apply zenon_H285. apply refl_equal.
% 42.98/43.24 apply zenon_H2e0. apply sym_equal. exact zenon_H2dd.
% 42.98/43.24 apply zenon_H285. apply refl_equal.
% 42.98/43.24 apply zenon_H285. apply refl_equal.
% 42.98/43.24 (* end of lemma zenon_L276_ *)
% 42.98/43.24 assert (zenon_L277_ : (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((op2 (e21) (e21)) = (e22)) -> (~((e21) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((e22) = (e23))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> ((op2 (e20) (e23)) = (e22)) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((e21) = (e23))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((e23) = (op2 (e22) (e22))) -> False).
% 42.98/43.24 do 0 intro. intros zenon_H2f3 zenon_H85 zenon_H204 zenon_H2ee zenon_H2de zenon_H328 zenon_H2f1 zenon_H2eb zenon_H22a zenon_H2c zenon_H33e zenon_H288 zenon_H23a zenon_H33d zenon_H25b zenon_H342 zenon_H24d zenon_H2dd zenon_H276 zenon_H290 zenon_H22b zenon_H33.
% 42.98/43.24 apply (zenon_or_s _ _ zenon_H2f3); [ zenon_intro zenon_H2ea | zenon_intro zenon_H2f4 ].
% 42.98/43.24 apply (zenon_L275_); trivial.
% 42.98/43.24 apply (zenon_or_s _ _ zenon_H2f4); [ zenon_intro zenon_H2e9 | zenon_intro zenon_H2f5 ].
% 42.98/43.24 apply (zenon_L276_); trivial.
% 42.98/43.24 apply (zenon_or_s _ _ zenon_H2f5); [ zenon_intro zenon_H2e1 | zenon_intro zenon_H291 ].
% 42.98/43.24 apply (zenon_L209_); trivial.
% 42.98/43.24 apply (zenon_L189_); trivial.
% 42.98/43.24 (* end of lemma zenon_L277_ *)
% 42.98/43.24 assert (zenon_L278_ : (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> ((op2 (e21) (e20)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e22) (e21)) = (e21)) -> (~((op2 (e22) (e20)) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((e23) = (op2 (e22) (e22))) -> False).
% 42.98/43.24 do 0 intro. intros zenon_H345 zenon_H99 zenon_H249 zenon_H2eb zenon_H2e9 zenon_H346 zenon_H9c zenon_H33.
% 42.98/43.24 apply (zenon_or_s _ _ zenon_H345); [ zenon_intro zenon_H24a | zenon_intro zenon_H347 ].
% 42.98/43.24 apply (zenon_L170_); trivial.
% 42.98/43.24 apply (zenon_or_s _ _ zenon_H347); [ zenon_intro zenon_H2ea | zenon_intro zenon_H348 ].
% 42.98/43.24 apply (zenon_L214_); trivial.
% 42.98/43.24 apply (zenon_or_s _ _ zenon_H348); [ zenon_intro zenon_H247 | zenon_intro zenon_H9d ].
% 42.98/43.24 exact (zenon_H346 zenon_H247).
% 42.98/43.24 apply (zenon_L30_); trivial.
% 42.98/43.24 (* end of lemma zenon_L278_ *)
% 42.98/43.24 assert (zenon_L279_ : (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((op2 (e20) (e22)) = (e21)) -> ((op2 (e21) (e21)) = (e22)) -> (~((e21) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e21) (e20)) = (e20)) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((e23) = (op2 (e22) (e22))) -> False).
% 42.98/43.24 do 0 intro. intros zenon_H2ee zenon_H2de zenon_H2dc zenon_H328 zenon_H2f1 zenon_H9c zenon_H346 zenon_H2eb zenon_H249 zenon_H99 zenon_H345 zenon_H22a zenon_H22b zenon_H33.
% 42.98/43.24 apply (zenon_or_s _ _ zenon_H2ee); [ zenon_intro zenon_H2dd | zenon_intro zenon_H2ef ].
% 42.98/43.24 apply (zenon_L208_); trivial.
% 42.98/43.24 apply (zenon_or_s _ _ zenon_H2ef); [ zenon_intro zenon_H219 | zenon_intro zenon_H2f0 ].
% 42.98/43.24 apply (zenon_L270_); trivial.
% 42.98/43.24 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_H2e9 | zenon_intro zenon_H22c ].
% 42.98/43.24 apply (zenon_L278_); trivial.
% 42.98/43.24 apply (zenon_L163_); trivial.
% 42.98/43.24 (* end of lemma zenon_L279_ *)
% 42.98/43.24 assert (zenon_L280_ : (((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23)))))))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((e20) = (e23))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((e21) = (e23))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((e22) = (e23))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (e21))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e20)) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((e21) = (e22))) -> ((op2 (e21) (e21)) = (e22)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((e23) = (op2 (e22) (e22))) -> False).
% 42.98/43.24 do 0 intro. intros zenon_H1fd zenon_H349 zenon_H26a zenon_H27d zenon_H24d zenon_H80 zenon_H342 zenon_H276 zenon_H26e zenon_H279 zenon_H264 zenon_H260 zenon_H253 zenon_H33d zenon_H25d zenon_H301 zenon_H33c zenon_H2f9 zenon_H2f6 zenon_H27c zenon_H23a zenon_H288 zenon_H33e zenon_H2c zenon_H204 zenon_H85 zenon_H214 zenon_H29d zenon_H2d7 zenon_H2f3 zenon_H290 zenon_H30b zenon_H22a zenon_H345 zenon_H249 zenon_H2eb zenon_H346 zenon_H9c zenon_H2f1 zenon_H328 zenon_H2de zenon_H2ee zenon_H256 zenon_H22b zenon_H33.
% 42.98/43.24 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_H7e. zenon_intro zenon_H200.
% 42.98/43.24 apply (zenon_and_s _ _ zenon_H200). zenon_intro zenon_H99. zenon_intro zenon_H1c.
% 42.98/43.24 apply (zenon_or_s _ _ zenon_H349); [ zenon_intro zenon_H309 | zenon_intro zenon_H34a ].
% 42.98/43.24 apply (zenon_or_s _ _ zenon_H29d); [ zenon_intro zenon_H25a | zenon_intro zenon_H2a3 ].
% 42.98/43.24 apply (zenon_L230_); trivial.
% 42.98/43.24 apply (zenon_or_s _ _ zenon_H2a3); [ zenon_intro zenon_H283 | zenon_intro zenon_H2a4 ].
% 42.98/43.24 apply (zenon_L262_); trivial.
% 42.98/43.24 apply (zenon_or_s _ _ zenon_H2a4); [ zenon_intro zenon_H23b | zenon_intro zenon_H25b ].
% 42.98/43.24 apply (zenon_L269_); trivial.
% 42.98/43.24 apply (zenon_or_s _ _ zenon_H2ee); [ zenon_intro zenon_H2dd | zenon_intro zenon_H2ef ].
% 42.98/43.24 apply (zenon_L277_); trivial.
% 42.98/43.24 apply (zenon_or_s _ _ zenon_H2ef); [ zenon_intro zenon_H219 | zenon_intro zenon_H2f0 ].
% 42.98/43.24 apply (zenon_L270_); trivial.
% 42.98/43.24 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_H2e9 | zenon_intro zenon_H22c ].
% 42.98/43.24 apply (zenon_L278_); trivial.
% 42.98/43.24 apply (zenon_L163_); trivial.
% 42.98/43.24 apply (zenon_or_s _ _ zenon_H34a); [ zenon_intro zenon_H2dd | zenon_intro zenon_H34b ].
% 42.98/43.24 apply (zenon_or_s _ _ zenon_H30b); [ zenon_intro zenon_H309 | zenon_intro zenon_H30c ].
% 42.98/43.24 apply (zenon_or_s _ _ zenon_H29d); [ zenon_intro zenon_H25a | zenon_intro zenon_H2a3 ].
% 42.98/43.24 apply (zenon_L230_); trivial.
% 42.98/43.24 apply (zenon_or_s _ _ zenon_H2a3); [ zenon_intro zenon_H283 | zenon_intro zenon_H2a4 ].
% 42.98/43.24 apply (zenon_L262_); trivial.
% 42.98/43.24 apply (zenon_or_s _ _ zenon_H2a4); [ zenon_intro zenon_H23b | zenon_intro zenon_H25b ].
% 42.98/43.24 apply (zenon_L269_); trivial.
% 42.98/43.24 apply (zenon_L277_); trivial.
% 42.98/43.24 apply (zenon_or_s _ _ zenon_H30c); [ zenon_intro zenon_H216 | zenon_intro zenon_H30d ].
% 42.98/43.24 exact (zenon_H214 zenon_H216).
% 42.98/43.24 apply (zenon_or_s _ _ zenon_H30d); [ zenon_intro zenon_H2ea | zenon_intro zenon_H26b ].
% 42.98/43.24 apply (zenon_or_s _ _ zenon_H27d); [ zenon_intro zenon_H24a | zenon_intro zenon_H27e ].
% 42.98/43.24 apply (zenon_L170_); trivial.
% 42.98/43.24 apply (zenon_or_s _ _ zenon_H27e); [ zenon_intro zenon_H24e | zenon_intro zenon_H27f ].
% 42.98/43.24 apply (zenon_L171_); trivial.
% 42.98/43.24 apply (zenon_or_s _ _ zenon_H27f); [ zenon_intro zenon_H251 | zenon_intro zenon_H254 ].
% 42.98/43.24 apply (zenon_L173_); trivial.
% 42.98/43.24 apply (zenon_or_s _ _ zenon_H342); [ zenon_intro zenon_H23b | zenon_intro zenon_H343 ].
% 42.98/43.24 apply (zenon_L268_); trivial.
% 42.98/43.24 apply (zenon_or_s _ _ zenon_H343); [ zenon_intro zenon_H23c | zenon_intro zenon_H344 ].
% 42.98/43.24 apply (zenon_L272_); trivial.
% 42.98/43.24 apply (zenon_or_s _ _ zenon_H344); [ zenon_intro zenon_H2ab | zenon_intro zenon_H2b2 ].
% 42.98/43.24 apply (zenon_L197_); trivial.
% 42.98/43.24 apply (zenon_L274_); trivial.
% 42.98/43.24 apply (zenon_L180_); trivial.
% 42.98/43.24 apply (zenon_or_s _ _ zenon_H34b); [ zenon_intro zenon_H2dc | zenon_intro zenon_H257 ].
% 42.98/43.24 apply (zenon_L279_); trivial.
% 42.98/43.24 apply (zenon_L175_); trivial.
% 42.98/43.24 (* end of lemma zenon_L280_ *)
% 42.98/43.24 assert (zenon_L281_ : (~((op2 (e21) (op2 (e21) (e22))) = (e22))) -> ((op2 (e21) (e21)) = (e22)) -> ((op2 (e21) (e22)) = (e21)) -> False).
% 42.98/43.24 do 0 intro. intros zenon_H34c zenon_H328 zenon_H228.
% 42.98/43.24 cut (((op2 (e21) (e21)) = (e22)) = ((op2 (e21) (op2 (e21) (e22))) = (e22))).
% 42.98/43.24 intro zenon_D_pnotp.
% 42.98/43.24 apply zenon_H34c.
% 42.98/43.24 rewrite <- zenon_D_pnotp.
% 42.98/43.24 exact zenon_H328.
% 42.98/43.24 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H201].
% 42.98/43.24 cut (((op2 (e21) (e21)) = (op2 (e21) (op2 (e21) (e22))))); [idtac | apply NNPP; zenon_intro zenon_H34d].
% 42.98/43.24 congruence.
% 42.98/43.24 elim (classic ((op2 (e21) (op2 (e21) (e22))) = (op2 (e21) (op2 (e21) (e22))))); [ zenon_intro zenon_H34e | zenon_intro zenon_H34f ].
% 42.98/43.24 cut (((op2 (e21) (op2 (e21) (e22))) = (op2 (e21) (op2 (e21) (e22)))) = ((op2 (e21) (e21)) = (op2 (e21) (op2 (e21) (e22))))).
% 42.98/43.24 intro zenon_D_pnotp.
% 42.98/43.24 apply zenon_H34d.
% 42.98/43.24 rewrite <- zenon_D_pnotp.
% 42.98/43.24 exact zenon_H34e.
% 42.98/43.24 cut (((op2 (e21) (op2 (e21) (e22))) = (op2 (e21) (op2 (e21) (e22))))); [idtac | apply NNPP; zenon_intro zenon_H34f].
% 42.98/43.24 cut (((op2 (e21) (op2 (e21) (e22))) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H350].
% 42.98/43.24 congruence.
% 42.98/43.24 cut (((op2 (e21) (e22)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H226].
% 42.98/43.24 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H217].
% 42.98/43.24 congruence.
% 42.98/43.24 apply zenon_H217. apply refl_equal.
% 42.98/43.24 exact (zenon_H226 zenon_H228).
% 42.98/43.24 apply zenon_H34f. apply refl_equal.
% 42.98/43.24 apply zenon_H34f. apply refl_equal.
% 42.98/43.24 apply zenon_H201. apply refl_equal.
% 42.98/43.24 (* end of lemma zenon_L281_ *)
% 42.98/43.24 assert (zenon_L282_ : (((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23)))))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e21)) = (e22)) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((e21) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((e21) = (e23))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((e23) = (op2 (e22) (e22))) -> False).
% 42.98/43.24 do 0 intro. intros zenon_H213 zenon_H2f3 zenon_H26e zenon_H328 zenon_H2ee zenon_H2de zenon_H2f1 zenon_H2eb zenon_H22a zenon_H2e3 zenon_H24d zenon_H276 zenon_H290 zenon_H22b zenon_H33.
% 42.98/43.24 apply (zenon_and_s _ _ zenon_H213). zenon_intro zenon_H216. zenon_intro zenon_H215.
% 42.98/43.24 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H2dd. zenon_intro zenon_H21d.
% 42.98/43.24 apply (zenon_and_s _ _ zenon_H21d). zenon_intro zenon_H21f. zenon_intro zenon_H21e.
% 42.98/43.24 apply (zenon_and_s _ _ zenon_H21e). zenon_intro zenon_H221. zenon_intro zenon_H220.
% 42.98/43.24 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_H34c. zenon_intro zenon_H351.
% 42.98/43.24 apply (zenon_or_s _ _ zenon_H2f3); [ zenon_intro zenon_H2ea | zenon_intro zenon_H2f4 ].
% 42.98/43.24 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H2dc | zenon_intro zenon_H2e4 ].
% 42.98/43.24 apply (zenon_L271_); trivial.
% 42.98/43.24 apply (zenon_or_s _ _ zenon_H2e4); [ zenon_intro zenon_H228 | zenon_intro zenon_H2e5 ].
% 42.98/43.24 apply (zenon_L281_); trivial.
% 42.98/43.24 apply (zenon_or_s _ _ zenon_H2e5); [ zenon_intro zenon_H2e1 | zenon_intro zenon_H26f ].
% 42.98/43.24 apply (zenon_L209_); trivial.
% 42.98/43.24 apply (zenon_L181_); trivial.
% 42.98/43.24 apply (zenon_or_s _ _ zenon_H2f4); [ zenon_intro zenon_H2e9 | zenon_intro zenon_H2f5 ].
% 42.98/43.24 apply (zenon_L276_); trivial.
% 42.98/43.24 apply (zenon_or_s _ _ zenon_H2f5); [ zenon_intro zenon_H2e1 | zenon_intro zenon_H291 ].
% 42.98/43.24 apply (zenon_L209_); trivial.
% 42.98/43.24 apply (zenon_L189_); trivial.
% 42.98/43.24 (* end of lemma zenon_L282_ *)
% 42.98/43.24 assert (zenon_L283_ : (((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23)))))))) -> (~((e21) = (e22))) -> ((op2 (e21) (e21)) = (e22)) -> False).
% 42.98/43.24 do 0 intro. intros zenon_H21b zenon_H2f1 zenon_H328.
% 42.98/43.24 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H219. zenon_intro zenon_H21c.
% 42.98/43.24 apply (zenon_and_s _ _ zenon_H21c). zenon_intro zenon_H219. zenon_intro zenon_H21d.
% 42.98/43.24 apply (zenon_L270_); trivial.
% 42.98/43.24 (* end of lemma zenon_L283_ *)
% 42.98/43.24 assert (zenon_L284_ : (((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23)))))))) -> ((op2 (e21) (e21)) = (e22)) -> False).
% 42.98/43.24 do 0 intro. intros zenon_H225 zenon_H328.
% 42.98/43.24 apply (zenon_and_s _ _ zenon_H225). zenon_intro zenon_H228. zenon_intro zenon_H227.
% 42.98/43.24 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_H2e9. zenon_intro zenon_H21d.
% 42.98/43.24 apply (zenon_and_s _ _ zenon_H21d). zenon_intro zenon_H21f. zenon_intro zenon_H21e.
% 42.98/43.24 apply (zenon_and_s _ _ zenon_H21e). zenon_intro zenon_H221. zenon_intro zenon_H220.
% 42.98/43.24 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_H34c. zenon_intro zenon_H351.
% 42.98/43.24 apply (zenon_L281_); trivial.
% 42.98/43.24 (* end of lemma zenon_L284_ *)
% 42.98/43.24 assert (zenon_L285_ : (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((op2 (e20) (e22)) = (e22)) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> ((op2 (e21) (e21)) = (e22)) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((op2 (e22) (op2 (e22) (e23))) = (e23))) -> ((e23) = (op2 (e22) (e22))) -> ((op2 (e23) (e23)) = (e21)) -> (~((e21) = (e22))) -> False).
% 42.98/43.24 do 0 intro. intros zenon_H31e zenon_H23b zenon_H33d zenon_H328 zenon_H2f6 zenon_H297 zenon_H33 zenon_H274 zenon_H2f1.
% 42.98/43.24 apply (zenon_or_s _ _ zenon_H31e); [ zenon_intro zenon_H25b | zenon_intro zenon_H31f ].
% 42.98/43.24 apply (zenon_L266_); trivial.
% 42.98/43.24 apply (zenon_or_s _ _ zenon_H31f); [ zenon_intro zenon_H2ff | zenon_intro zenon_H320 ].
% 42.98/43.24 apply (zenon_L264_); trivial.
% 42.98/43.24 apply (zenon_or_s _ _ zenon_H320); [ zenon_intro zenon_H295 | zenon_intro zenon_H31a ].
% 42.98/43.24 apply (zenon_L191_); trivial.
% 42.98/43.24 apply (zenon_L237_); trivial.
% 42.98/43.24 (* end of lemma zenon_L285_ *)
% 42.98/43.24 assert (zenon_L286_ : (((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23)))))))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> ((op2 (e21) (e21)) = (e22)) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> (~((e21) = (e22))) -> False).
% 42.98/43.24 do 0 intro. intros zenon_H245 zenon_H279 zenon_H26a zenon_H22a zenon_H22b zenon_H26e zenon_H31e zenon_H33d zenon_H328 zenon_H2f6 zenon_H33 zenon_H2f1.
% 42.98/43.24 apply (zenon_and_s _ _ zenon_H245). zenon_intro zenon_H247. zenon_intro zenon_H246.
% 42.98/43.24 apply (zenon_and_s _ _ zenon_H246). zenon_intro zenon_H23b. zenon_intro zenon_H248.
% 42.98/43.24 apply (zenon_and_s _ _ zenon_H248). zenon_intro zenon_H28a. zenon_intro zenon_H2a7.
% 42.98/43.24 apply (zenon_and_s _ _ zenon_H2a7). zenon_intro zenon_H2a9. zenon_intro zenon_H2a8.
% 42.98/43.24 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H2aa. zenon_intro zenon_H297.
% 42.98/43.24 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H26b | zenon_intro zenon_H27a ].
% 42.98/43.24 apply (zenon_L180_); trivial.
% 42.98/43.24 apply (zenon_or_s _ _ zenon_H27a); [ zenon_intro zenon_H22c | zenon_intro zenon_H27b ].
% 42.98/43.24 apply (zenon_L163_); trivial.
% 42.98/43.24 apply (zenon_or_s _ _ zenon_H27b); [ zenon_intro zenon_H26f | zenon_intro zenon_H274 ].
% 42.98/43.24 apply (zenon_L181_); trivial.
% 42.98/43.24 apply (zenon_L285_); trivial.
% 42.98/43.24 (* end of lemma zenon_L286_ *)
% 42.98/43.24 assert (zenon_L287_ : (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e21) (e21)) = (e22)) -> ((op2 (e22) (e21)) = (e22)) -> False).
% 42.98/43.24 do 0 intro. intros zenon_H352 zenon_H328 zenon_H282.
% 42.98/43.24 cut (((op2 (e21) (e21)) = (e22)) = ((op2 (e21) (e21)) = (op2 (e22) (e21)))).
% 42.98/43.24 intro zenon_D_pnotp.
% 42.98/43.24 apply zenon_H352.
% 42.98/43.24 rewrite <- zenon_D_pnotp.
% 42.98/43.24 exact zenon_H328.
% 42.98/43.24 cut (((e22) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H353].
% 42.98/43.24 cut (((op2 (e21) (e21)) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H2d9].
% 42.98/43.24 congruence.
% 42.98/43.24 apply zenon_H2d9. apply refl_equal.
% 42.98/43.24 apply zenon_H353. apply sym_equal. exact zenon_H282.
% 42.98/43.24 (* end of lemma zenon_L287_ *)
% 42.98/43.24 assert (zenon_L288_ : (((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23)))))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e21) (e21)) = (e22)) -> False).
% 42.98/43.24 do 0 intro. intros zenon_H2a5 zenon_H352 zenon_H328.
% 42.98/43.24 apply (zenon_and_s _ _ zenon_H2a5). zenon_intro zenon_H282. zenon_intro zenon_H2a6.
% 42.98/43.24 apply (zenon_L287_); trivial.
% 42.98/43.24 (* end of lemma zenon_L288_ *)
% 42.98/43.24 assert (zenon_L289_ : ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))))))))))))))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (e22))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (e21))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((e20) = (e23))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((e21) = (e22))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((op2 (e21) (e21)) = (e22)) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((e22) = (e23))) -> (~((op2 (e23) (e20)) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((e21) = (e23))) -> False).
% 42.98/43.24 do 0 intro. intros zenon_H2c7 zenon_H256 zenon_H9c zenon_H346 zenon_H249 zenon_H345 zenon_H30b zenon_H2d7 zenon_H29d zenon_H214 zenon_H85 zenon_H33e zenon_H23a zenon_H27c zenon_H2f9 zenon_H33c zenon_H301 zenon_H25d zenon_H253 zenon_H260 zenon_H342 zenon_H80 zenon_H27d zenon_H349 zenon_H204 zenon_H2c zenon_H20a zenon_H290 zenon_H24d zenon_H2e3 zenon_H2eb zenon_H2de zenon_H2ee zenon_H2f3 zenon_H2f1 zenon_H2f6 zenon_H33d zenon_H31e zenon_H328 zenon_H352 zenon_H288 zenon_Ha3 zenon_H264 zenon_H279 zenon_H26a zenon_H22a zenon_H33 zenon_H22b zenon_H26e zenon_H276.
% 42.98/43.24 apply (zenon_or_s _ _ zenon_H2c7); [ zenon_intro zenon_H1a | zenon_intro zenon_H2c8 ].
% 42.98/43.24 apply (zenon_L4_); trivial.
% 42.98/43.24 apply (zenon_or_s _ _ zenon_H2c8); [ zenon_intro zenon_H1fd | zenon_intro zenon_H2c9 ].
% 42.98/43.24 apply (zenon_L280_); trivial.
% 42.98/43.24 apply (zenon_or_s _ _ zenon_H2c9); [ zenon_intro zenon_H208 | zenon_intro zenon_H2ca ].
% 42.98/43.24 apply (zenon_L154_); trivial.
% 42.98/43.24 apply (zenon_or_s _ _ zenon_H2ca); [ zenon_intro zenon_H210 | zenon_intro zenon_H2cb ].
% 42.98/43.24 apply (zenon_L156_); trivial.
% 42.98/43.24 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H213 | zenon_intro zenon_H2cc ].
% 42.98/43.24 apply (zenon_L282_); trivial.
% 42.98/43.24 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H21b | zenon_intro zenon_H2cd ].
% 42.98/43.24 apply (zenon_L283_); trivial.
% 42.98/43.24 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H225 | zenon_intro zenon_H2ce ].
% 42.98/43.24 apply (zenon_L284_); trivial.
% 42.98/43.24 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H231 | zenon_intro zenon_H2cf ].
% 42.98/43.24 apply (zenon_L164_); trivial.
% 42.98/43.24 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_H245 | zenon_intro zenon_H2d0 ].
% 42.98/43.24 apply (zenon_L286_); trivial.
% 42.98/43.24 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H2a5 | zenon_intro zenon_H2d1 ].
% 42.98/43.24 apply (zenon_L288_); trivial.
% 42.98/43.24 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H2ae | zenon_intro zenon_H2d2 ].
% 42.98/43.24 apply (zenon_L198_); trivial.
% 42.98/43.24 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H2b0 | zenon_intro zenon_H2d3 ].
% 42.98/43.24 apply (zenon_L199_); trivial.
% 42.98/43.24 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H2b3 | zenon_intro zenon_H2d4 ].
% 42.98/43.24 apply (zenon_L200_); trivial.
% 42.98/43.24 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_H2bc | zenon_intro zenon_H2d5 ].
% 42.98/43.24 apply (zenon_L202_); trivial.
% 42.98/43.24 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2c5 ].
% 42.98/43.24 apply (zenon_L203_); trivial.
% 42.98/43.24 apply (zenon_L204_); trivial.
% 42.98/43.24 (* end of lemma zenon_L289_ *)
% 42.98/43.24 assert (zenon_L290_ : ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((e21) = (e23))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((e22) = (e23))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((e21) = (e22))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (e21))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e20)) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))))))))))))))))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((e20) = (e22))) -> ((op2 (e21) (e21)) = (e22)) -> (~((e20) = (e23))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> False).
% 42.98/43.24 do 0 intro. intros zenon_H337 zenon_H276 zenon_H22b zenon_H22a zenon_H26a zenon_H279 zenon_H264 zenon_H288 zenon_H352 zenon_H31e zenon_H33d zenon_H2f6 zenon_H2f1 zenon_H2f3 zenon_H2ee zenon_H2de zenon_H2eb zenon_H2e3 zenon_H24d zenon_H290 zenon_H20a zenon_H204 zenon_H349 zenon_H27d zenon_H342 zenon_H260 zenon_H253 zenon_H25d zenon_H301 zenon_H33c zenon_H2f9 zenon_H27c zenon_H23a zenon_H33e zenon_H85 zenon_H214 zenon_H29d zenon_H2d7 zenon_H30b zenon_H345 zenon_H249 zenon_H346 zenon_H9c zenon_H256 zenon_H2c7 zenon_H15 zenon_H304 zenon_H328 zenon_H80 zenon_H2c zenon_H33 zenon_H26e.
% 42.98/43.24 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H338 ].
% 42.98/43.24 apply (zenon_L289_); trivial.
% 42.98/43.24 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ].
% 42.98/43.24 exact (zenon_H15 zenon_H14).
% 42.98/43.24 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ].
% 42.98/43.24 apply (zenon_L244_); trivial.
% 42.98/43.24 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ].
% 42.98/43.24 apply (zenon_L173_); trivial.
% 42.98/43.24 apply (zenon_L252_); trivial.
% 42.98/43.24 (* end of lemma zenon_L290_ *)
% 42.98/43.24 assert (zenon_L291_ : ((~((op2 (e22) (e20)) = (e22)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> ((op2 (e21) (e21)) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (e21))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((e21) = (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e22) = (e23))) -> (~((e20) = (e22))) -> ((~((op2 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e21)) = (e21))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((e21) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((e20) = (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))))))))))))))))) -> (~((e20) = (e23))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> False).
% 42.98/43.24 do 0 intro. intros zenon_H354 zenon_H328 zenon_H256 zenon_H9c zenon_H249 zenon_H345 zenon_H29d zenon_H214 zenon_H85 zenon_H33e zenon_H27c zenon_H33c zenon_H253 zenon_H260 zenon_H342 zenon_H27d zenon_H349 zenon_H24d zenon_H33d zenon_H352 zenon_H337 zenon_H15 zenon_H2f1 zenon_H22b zenon_H22a zenon_H26a zenon_H279 zenon_H288 zenon_H304 zenon_H32f zenon_H324 zenon_H301 zenon_H2f6 zenon_H2f9 zenon_H25d zenon_H21a zenon_H32b zenon_H2f3 zenon_H2ee zenon_H2de zenon_H2e3 zenon_H290 zenon_H242 zenon_H234 zenon_H23a zenon_H23e zenon_H276 zenon_H264 zenon_H321 zenon_H311 zenon_H316 zenon_H31e zenon_H93 zenon_H2fe zenon_H30e zenon_H30b zenon_H2eb zenon_H2e6 zenon_H20a zenon_H204 zenon_H2d7 zenon_H2c7 zenon_H80 zenon_H2c zenon_H33 zenon_H26e.
% 42.98/43.24 apply (zenon_or_s _ _ zenon_H354); [ zenon_intro zenon_H346 | zenon_intro zenon_H338 ].
% 42.98/43.24 apply (zenon_L290_); trivial.
% 42.98/43.24 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ].
% 42.98/43.24 exact (zenon_H15 zenon_H14).
% 42.98/43.24 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ].
% 42.98/43.24 apply (zenon_L250_); trivial.
% 42.98/43.24 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ].
% 42.98/43.24 apply (zenon_L173_); trivial.
% 42.98/43.24 apply (zenon_L252_); trivial.
% 42.98/43.24 (* end of lemma zenon_L291_ *)
% 42.98/43.24 assert (zenon_L292_ : ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op2 (e21) (e22)) = (e21))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (e20))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> (~((h3 (op1 (e10) (e10))) = (op2 (h3 (e10)) (h3 (e10))))) -> (((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 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> ((~((op1 (e10) (e12)) = (e10)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (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)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e12) = (e13))) -> (~((e10) = (e12))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))))))))))))))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op2 (e21) (e20)) = (e21))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((e21) = (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e22) = (e23))) -> (~((e20) = (e22))) -> ((op2 (e20) (e20)) = (e21)) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))))))))))))))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((e21) = (e23))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (~((e20) = (e23))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> False).
% 42.98/43.24 do 0 intro. intros zenon_H337 zenon_H1fe zenon_H1d8 zenon_H1c8 zenon_H1aa zenon_H1b0 zenon_H1ba zenon_Hf6 zenon_H1bf zenon_H1a8 zenon_H1c3 zenon_H47 zenon_H1a4 zenon_H19f zenon_H19e zenon_H226 zenon_H253 zenon_H299 zenon_H207 zenon_H29c zenon_H85 zenon_H10c zenon_H7b zenon_H2b zenon_H30 zenon_H2f zenon_H78 zenon_H4f zenon_H56 zenon_H10d zenon_H109 zenon_Ha8 zenon_H24d zenon_H260 zenon_H256 zenon_H27c zenon_H249 zenon_H27d zenon_Ha2 zenon_H93 zenon_H9c zenon_H29d zenon_H29e zenon_H1ff zenon_H1b6 zenon_H1d2 zenon_H1be zenon_H1d3 zenon_H73 zenon_H1d5 zenon_H1c2 zenon_H1fc zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H1e4 zenon_H1e0 zenon_H1f4 zenon_H1f3 zenon_H1d9 zenon_H1db zenon_H169 zenon_H11a zenon_H17b zenon_H142 zenon_H152 zenon_Hac zenon_Hb2 zenon_H15c zenon_H126 zenon_H161 zenon_H18c zenon_H57 zenon_He0 zenon_H17f zenon_H66 zenon_H182 zenon_H189 zenon_H174 zenon_H16e zenon_H178 zenon_H105 zenon_Hc1 zenon_H6a zenon_He8 zenon_H5f zenon_H6e zenon_Hf9 zenon_Hca zenon_Hbd zenon_H166 zenon_H16b zenon_H192 zenon_H133 zenon_H42 zenon_H60 zenon_H48 zenon_Hc4 zenon_H214 zenon_H15 zenon_H2f1 zenon_H22b zenon_H22a zenon_H26a zenon_H279 zenon_H288 zenon_H304 zenon_H309 zenon_H2c7 zenon_H2d7 zenon_H204 zenon_H20a zenon_H23a zenon_H290 zenon_H2e3 zenon_H2eb zenon_H2e6 zenon_H2de zenon_H2ee zenon_H2f3 zenon_H23e zenon_H301 zenon_H2f6 zenon_H2f9 zenon_H2fe zenon_H25d zenon_H234 zenon_H242 zenon_H264 zenon_H276 zenon_H32b zenon_H80 zenon_H2c zenon_H33 zenon_H26e.
% 42.98/43.24 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H338 ].
% 42.98/43.24 apply (zenon_L205_); trivial.
% 42.98/43.24 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ].
% 42.98/43.24 exact (zenon_H15 zenon_H14).
% 42.98/43.24 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ].
% 42.98/43.24 apply (zenon_L246_); trivial.
% 42.98/43.24 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ].
% 42.98/43.24 apply (zenon_L173_); trivial.
% 42.98/43.24 apply (zenon_L252_); trivial.
% 42.98/43.24 (* end of lemma zenon_L292_ *)
% 42.98/43.24 assert (zenon_L293_ : ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))))))))))))))))) -> (~((e20) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e20)) = (e21))) -> (~((e21) = (e22))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e23)) = (op2 (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 (e20) (e22)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((e20) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (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) (e20)) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> (~((e22) = (e23))) -> (~((op2 (e23) (e20)) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((e21) = (e23))) -> False).
% 42.98/43.24 do 0 intro. intros zenon_H2c7 zenon_H304 zenon_H2eb zenon_H214 zenon_H2f1 zenon_H30b zenon_H30e zenon_H290 zenon_H253 zenon_H299 zenon_H204 zenon_H2c zenon_H29c zenon_H15 zenon_H9c zenon_H80 zenon_H93 zenon_Ha2 zenon_H85 zenon_H27d zenon_H249 zenon_H24d zenon_H27c zenon_H25d zenon_H25a zenon_H256 zenon_H260 zenon_Ha8 zenon_H20a zenon_H29e zenon_H288 zenon_Ha3 zenon_H264 zenon_H279 zenon_H26a zenon_H22a zenon_H33 zenon_H22b zenon_H26e zenon_H276.
% 42.98/43.24 apply (zenon_or_s _ _ zenon_H2c7); [ zenon_intro zenon_H1a | zenon_intro zenon_H2c8 ].
% 42.98/43.24 apply (zenon_L227_); trivial.
% 42.98/43.24 apply (zenon_or_s _ _ zenon_H2c8); [ zenon_intro zenon_H1fd | zenon_intro zenon_H2c9 ].
% 42.98/43.24 apply (zenon_L253_); trivial.
% 42.98/43.24 apply (zenon_or_s _ _ zenon_H2c9); [ zenon_intro zenon_H208 | zenon_intro zenon_H2ca ].
% 42.98/43.24 apply (zenon_L154_); trivial.
% 42.98/43.24 apply (zenon_or_s _ _ zenon_H2ca); [ zenon_intro zenon_H210 | zenon_intro zenon_H2cb ].
% 42.98/43.24 apply (zenon_L156_); trivial.
% 42.98/43.24 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H213 | zenon_intro zenon_H2cc ].
% 42.98/43.24 apply (zenon_L157_); trivial.
% 42.98/43.24 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H21b | zenon_intro zenon_H2cd ].
% 42.98/43.24 apply (zenon_L160_); trivial.
% 42.98/43.24 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H225 | zenon_intro zenon_H2ce ].
% 42.98/43.24 apply (zenon_L255_); trivial.
% 42.98/43.24 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H231 | zenon_intro zenon_H2cf ].
% 42.98/43.24 apply (zenon_L164_); trivial.
% 42.98/43.24 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_H245 | zenon_intro zenon_H2d0 ].
% 42.98/43.24 apply (zenon_L232_); trivial.
% 42.98/43.24 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H2a5 | zenon_intro zenon_H2d1 ].
% 42.98/43.24 apply (zenon_and_s _ _ zenon_H2a5). zenon_intro zenon_H282. zenon_intro zenon_H2a6.
% 42.98/43.24 apply (zenon_and_s _ _ zenon_H2a6). zenon_intro zenon_H23c. zenon_intro zenon_H248.
% 42.98/43.24 apply (zenon_and_s _ _ zenon_H248). zenon_intro zenon_H28a. zenon_intro zenon_H2a7.
% 42.98/43.24 apply (zenon_and_s _ _ zenon_H2a7). zenon_intro zenon_H2a9. zenon_intro zenon_H2a8.
% 42.98/43.24 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H2aa. zenon_intro zenon_H297.
% 42.98/43.24 apply (zenon_or_s _ _ zenon_H29e); [ zenon_intro zenon_H14 | zenon_intro zenon_H29f ].
% 42.98/43.24 exact (zenon_H15 zenon_H14).
% 42.98/43.24 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H7e | zenon_intro zenon_H2a0 ].
% 42.98/43.24 apply (zenon_or_s _ _ zenon_H29c); [ zenon_intro zenon_H14 | zenon_intro zenon_H2a1 ].
% 42.98/43.24 exact (zenon_H15 zenon_H14).
% 42.98/43.24 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H99 | zenon_intro zenon_H2a2 ].
% 42.98/43.24 apply (zenon_L184_); trivial.
% 42.98/43.24 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H24a | zenon_intro zenon_H20b ].
% 42.98/43.24 apply (zenon_L188_); trivial.
% 42.98/43.24 apply (zenon_L155_); trivial.
% 42.98/43.24 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H205 | zenon_intro zenon_H212 ].
% 42.98/43.24 apply (zenon_L153_); trivial.
% 42.98/43.24 apply (zenon_L192_); trivial.
% 42.98/43.24 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H2ae | zenon_intro zenon_H2d2 ].
% 42.98/43.24 apply (zenon_L198_); trivial.
% 42.98/43.24 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H2b0 | zenon_intro zenon_H2d3 ].
% 42.98/43.24 apply (zenon_L199_); trivial.
% 42.98/43.24 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H2b3 | zenon_intro zenon_H2d4 ].
% 42.98/43.24 apply (zenon_L200_); trivial.
% 42.98/43.24 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_H2bc | zenon_intro zenon_H2d5 ].
% 42.98/43.24 apply (zenon_L202_); trivial.
% 42.98/43.24 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2c5 ].
% 42.98/43.24 apply (zenon_L203_); trivial.
% 42.98/43.24 apply (zenon_L204_); trivial.
% 42.98/43.24 (* end of lemma zenon_L293_ *)
% 42.98/43.24 assert (zenon_L294_ : ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (e21))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((e21) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((e22) = (e23))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((op2 (e20) (e20)) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((e20) = (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))))))))))))))))) -> ((~((op2 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> ((~((op2 (e21) (e21)) = (e21)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (~((e20) = (e23))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> False).
% 42.98/43.25 do 0 intro. intros zenon_H337 zenon_H29e zenon_Ha8 zenon_H260 zenon_H256 zenon_H27c zenon_H24d zenon_H249 zenon_H27d zenon_H85 zenon_Ha2 zenon_H9c zenon_H29c zenon_H299 zenon_H253 zenon_H214 zenon_H15 zenon_H276 zenon_H264 zenon_H321 zenon_H311 zenon_H316 zenon_H288 zenon_H31e zenon_H25a zenon_H93 zenon_H2fe zenon_H2f1 zenon_H30e zenon_H22a zenon_H22b zenon_H30b zenon_H2eb zenon_H26a zenon_H2e6 zenon_H20a zenon_H204 zenon_H2d7 zenon_H2c7 zenon_H32f zenon_H324 zenon_H301 zenon_H2f6 zenon_H2f9 zenon_H25d zenon_H32b zenon_H2f3 zenon_H2ee zenon_H2de zenon_H2e3 zenon_H290 zenon_H242 zenon_H234 zenon_H23a zenon_H23e zenon_H304 zenon_H279 zenon_H330 zenon_H80 zenon_H2c zenon_H33 zenon_H26e.
% 42.98/43.25 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H338 ].
% 42.98/43.25 apply (zenon_L293_); trivial.
% 42.98/43.25 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ].
% 42.98/43.25 exact (zenon_H15 zenon_H14).
% 42.98/43.25 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ].
% 42.98/43.25 apply (zenon_L258_); trivial.
% 42.98/43.25 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ].
% 42.98/43.25 apply (zenon_L173_); trivial.
% 42.98/43.25 apply (zenon_L252_); trivial.
% 42.98/43.25 (* end of lemma zenon_L294_ *)
% 42.98/43.25 assert (zenon_L295_ : ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e21) (e21)) = (e22)) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (e21))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e20)) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((e21) = (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e22) = (e23))) -> (~((e20) = (e22))) -> ((op2 (e20) (e20)) = (e21)) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))))))))))))))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((e21) = (e23))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (~((e20) = (e23))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> False).
% 42.98/43.25 do 0 intro. intros zenon_H337 zenon_H352 zenon_H328 zenon_H31e zenon_H33d zenon_H24d zenon_H349 zenon_H27d zenon_H342 zenon_H260 zenon_H253 zenon_H33c zenon_H27c zenon_H33e zenon_H85 zenon_H214 zenon_H29d zenon_H30b zenon_H345 zenon_H249 zenon_H346 zenon_H9c zenon_H256 zenon_H15 zenon_H2f1 zenon_H22b zenon_H22a zenon_H26a zenon_H279 zenon_H288 zenon_H304 zenon_H309 zenon_H2c7 zenon_H2d7 zenon_H204 zenon_H20a zenon_H23a zenon_H290 zenon_H2e3 zenon_H2eb zenon_H2e6 zenon_H2de zenon_H2ee zenon_H2f3 zenon_H23e zenon_H301 zenon_H2f6 zenon_H2f9 zenon_H2fe zenon_H25d zenon_H234 zenon_H242 zenon_H264 zenon_H276 zenon_H32b zenon_H80 zenon_H2c zenon_H33 zenon_H26e.
% 42.98/43.25 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H338 ].
% 42.98/43.25 apply (zenon_L289_); trivial.
% 42.98/43.25 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ].
% 42.98/43.25 exact (zenon_H15 zenon_H14).
% 42.98/43.25 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ].
% 42.98/43.25 apply (zenon_L246_); trivial.
% 42.98/43.25 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ].
% 42.98/43.25 apply (zenon_L173_); trivial.
% 42.98/43.25 apply (zenon_L252_); trivial.
% 42.98/43.25 (* end of lemma zenon_L295_ *)
% 42.98/43.25 assert (zenon_L296_ : ((~((op2 (e22) (e20)) = (e22)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> ((op2 (e20) (e20)) = (e21)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (e21))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> ((op2 (e21) (e21)) = (e22)) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((e21) = (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e22) = (e23))) -> (~((e20) = (e22))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))))))))))))))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((e21) = (e23))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e21) (e21)) = (e21)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (~((e20) = (e23))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> False).
% 42.98/43.25 do 0 intro. intros zenon_H354 zenon_H309 zenon_H256 zenon_H9c zenon_H249 zenon_H345 zenon_H29d zenon_H214 zenon_H85 zenon_H33e zenon_H27c zenon_H33c zenon_H253 zenon_H260 zenon_H342 zenon_H27d zenon_H349 zenon_H24d zenon_H33d zenon_H328 zenon_H352 zenon_H337 zenon_H15 zenon_H2f1 zenon_H22b zenon_H22a zenon_H26a zenon_H279 zenon_H288 zenon_H304 zenon_H2c7 zenon_H2d7 zenon_H204 zenon_H20a zenon_H2e6 zenon_H2eb zenon_H30b zenon_H30e zenon_H2fe zenon_H93 zenon_H31e zenon_H316 zenon_H311 zenon_H321 zenon_H264 zenon_H276 zenon_H23e zenon_H23a zenon_H234 zenon_H242 zenon_H290 zenon_H2e3 zenon_H2de zenon_H2ee zenon_H2f3 zenon_H32b zenon_H25d zenon_H2f9 zenon_H2f6 zenon_H301 zenon_H324 zenon_H32f zenon_H330 zenon_H80 zenon_H2c zenon_H33 zenon_H26e.
% 42.98/43.25 apply (zenon_or_s _ _ zenon_H354); [ zenon_intro zenon_H346 | zenon_intro zenon_H338 ].
% 42.98/43.25 apply (zenon_L295_); trivial.
% 42.98/43.25 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ].
% 42.98/43.25 exact (zenon_H15 zenon_H14).
% 42.98/43.25 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ].
% 42.98/43.25 apply (zenon_L251_); trivial.
% 42.98/43.25 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ].
% 42.98/43.25 apply (zenon_L173_); trivial.
% 42.98/43.25 apply (zenon_L252_); trivial.
% 42.98/43.25 (* end of lemma zenon_L296_ *)
% 42.98/43.25 assert (zenon_L297_ : (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))))))))))))))))) -> (~((e10) = (e12))) -> (~((e12) = (e13))) -> (~((e11) = (e12))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (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 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((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))))) -> (~((h3 (op1 (e10) (e10))) = (op2 (h3 (e10)) (h3 (e10))))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op2 (e20) (e22)) = (e20))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (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) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (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)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (~((e20) = (e23))) -> ((~((op2 (e21) (e21)) = (e21)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((e21) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((e20) = (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))))))))))))))))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e20)) = (e20))) -> ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (e21))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e20)) = (e21)) -> ((~((op2 (e22) (e20)) = (e22)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((e22) = (e23))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((e21) = (e22))) -> False).
% 42.98/43.25 do 0 intro. intros zenon_Hc4 zenon_H48 zenon_H60 zenon_H42 zenon_H133 zenon_H192 zenon_H16b zenon_H166 zenon_Hbd zenon_Hca zenon_Hf9 zenon_H6e zenon_H5f zenon_He8 zenon_H6a zenon_Hc1 zenon_H105 zenon_H178 zenon_H16e zenon_H174 zenon_H189 zenon_H182 zenon_H66 zenon_H17f zenon_He0 zenon_H57 zenon_H18c zenon_H161 zenon_H126 zenon_H15c zenon_Hb2 zenon_Hac zenon_H152 zenon_H142 zenon_H17b zenon_H11a zenon_H169 zenon_H1db zenon_H1d9 zenon_H1f3 zenon_H1f4 zenon_H1e0 zenon_H1e4 zenon_H1ed zenon_H1ec zenon_H1f5 zenon_H1fc zenon_H1c2 zenon_H1d5 zenon_H73 zenon_H1d3 zenon_H1be zenon_H1d2 zenon_H1b6 zenon_H1ff zenon_H109 zenon_H10d zenon_H56 zenon_H4f zenon_H78 zenon_H2f zenon_H30 zenon_H2b zenon_H7b zenon_H10c zenon_H207 zenon_H19e zenon_H19f zenon_H1a4 zenon_H47 zenon_H1c3 zenon_H1a8 zenon_H1bf zenon_Hf6 zenon_H1ba zenon_H1b0 zenon_H1aa zenon_H1c8 zenon_H1d8 zenon_H1fe zenon_H299 zenon_H29c zenon_Ha2 zenon_Ha8 zenon_H29e zenon_H2c zenon_H80 zenon_H330 zenon_H32f zenon_H324 zenon_H301 zenon_H2f6 zenon_H2f9 zenon_H25d zenon_H32b zenon_H2f3 zenon_H2ee zenon_H2de zenon_H2e3 zenon_H290 zenon_H242 zenon_H234 zenon_H23a zenon_H23e zenon_H276 zenon_H264 zenon_H321 zenon_H311 zenon_H316 zenon_H31e zenon_H93 zenon_H2fe zenon_H30e zenon_H30b zenon_H2eb zenon_H2e6 zenon_H20a zenon_H204 zenon_H2d7 zenon_H2c7 zenon_H304 zenon_H15 zenon_H337 zenon_H352 zenon_H33d zenon_H24d zenon_H349 zenon_H27d zenon_H342 zenon_H260 zenon_H253 zenon_H33c zenon_H27c zenon_H33e zenon_H85 zenon_H214 zenon_H29d zenon_H345 zenon_H249 zenon_H9c zenon_H256 zenon_H309 zenon_H354 zenon_H288 zenon_H279 zenon_H26a zenon_H22a zenon_H33 zenon_H22b zenon_H26e zenon_H2f1.
% 42.98/43.25 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H226 | zenon_intro zenon_H32c ].
% 42.98/43.25 apply (zenon_L292_); trivial.
% 42.98/43.25 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H25a | zenon_intro zenon_H32d ].
% 42.98/43.25 apply (zenon_L294_); trivial.
% 42.98/43.25 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H328 | zenon_intro zenon_H32e ].
% 42.98/43.25 apply (zenon_L296_); trivial.
% 42.98/43.25 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H2ab | zenon_intro zenon_H31a ].
% 42.98/43.25 apply (zenon_L197_); trivial.
% 42.98/43.25 apply (zenon_L245_); trivial.
% 42.98/43.25 (* end of lemma zenon_L297_ *)
% 42.98/43.25 assert (zenon_L298_ : ((~((op2 (e21) (e20)) = (e21)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> ((~((op2 (e21) (e21)) = (e21)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e21) (e21)) = (e22)) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((~((op2 (e22) (e20)) = (e22)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((e21) = (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e22) = (e23))) -> (~((e20) = (e22))) -> ((op2 (e20) (e20)) = (e21)) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))))))))))))))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((e21) = (e23))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (~((e20) = (e23))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> False).
% 42.98/43.25 do 0 intro. intros zenon_H33b zenon_H330 zenon_H32f zenon_H324 zenon_H321 zenon_H311 zenon_H316 zenon_H31e zenon_H93 zenon_H30e zenon_H30b zenon_H337 zenon_H352 zenon_H328 zenon_H33d zenon_H24d zenon_H349 zenon_H27d zenon_H342 zenon_H260 zenon_H253 zenon_H33c zenon_H27c zenon_H33e zenon_H85 zenon_H29d zenon_H345 zenon_H249 zenon_H9c zenon_H256 zenon_H354 zenon_H15 zenon_H2f1 zenon_H22b zenon_H22a zenon_H26a zenon_H279 zenon_H288 zenon_H304 zenon_H309 zenon_H2c7 zenon_H2d7 zenon_H204 zenon_H20a zenon_H23a zenon_H290 zenon_H2e3 zenon_H2eb zenon_H2e6 zenon_H2de zenon_H2ee zenon_H2f3 zenon_H23e zenon_H301 zenon_H2f6 zenon_H2f9 zenon_H2fe zenon_H25d zenon_H234 zenon_H242 zenon_H264 zenon_H276 zenon_H32b zenon_H80 zenon_H2c zenon_H33 zenon_H26e.
% 42.98/43.25 apply (zenon_or_s _ _ zenon_H33b); [ zenon_intro zenon_H214 | zenon_intro zenon_H338 ].
% 42.98/43.25 apply (zenon_L296_); trivial.
% 42.98/43.25 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ].
% 42.98/43.25 exact (zenon_H15 zenon_H14).
% 42.98/43.25 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ].
% 42.98/43.25 apply (zenon_L246_); trivial.
% 42.98/43.25 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ].
% 42.98/43.25 apply (zenon_L173_); trivial.
% 42.98/43.25 apply (zenon_L252_); trivial.
% 42.98/43.25 (* end of lemma zenon_L298_ *)
% 42.98/43.25 assert (zenon_L299_ : (((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23)))))))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> ((op2 (e21) (e21)) = (e22)) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> ((op2 (e23) (e23)) = (e21)) -> (~((e21) = (e22))) -> False).
% 42.98/43.25 do 0 intro. intros zenon_H245 zenon_H31e zenon_H33d zenon_H328 zenon_H2f6 zenon_H33 zenon_H274 zenon_H2f1.
% 42.98/43.25 apply (zenon_and_s _ _ zenon_H245). zenon_intro zenon_H247. zenon_intro zenon_H246.
% 42.98/43.25 apply (zenon_and_s _ _ zenon_H246). zenon_intro zenon_H23b. zenon_intro zenon_H248.
% 42.98/43.25 apply (zenon_and_s _ _ zenon_H248). zenon_intro zenon_H28a. zenon_intro zenon_H2a7.
% 42.98/43.25 apply (zenon_and_s _ _ zenon_H2a7). zenon_intro zenon_H2a9. zenon_intro zenon_H2a8.
% 42.98/43.25 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H2aa. zenon_intro zenon_H297.
% 42.98/43.25 apply (zenon_L285_); trivial.
% 42.98/43.25 (* end of lemma zenon_L299_ *)
% 42.98/43.25 assert (zenon_L300_ : ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))))))))))))))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((e20) = (e23))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e20)) = (e21))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((e21) = (e22))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((op2 (e21) (e21)) = (e22)) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((e22) = (e23))) -> (~((op2 (e23) (e20)) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> ((op2 (e23) (e23)) = (e21)) -> (~((e21) = (e23))) -> False).
% 42.98/43.25 do 0 intro. intros zenon_H2c7 zenon_H256 zenon_H2ee zenon_H2de zenon_H9c zenon_H346 zenon_H2eb zenon_H249 zenon_H345 zenon_H30b zenon_H290 zenon_H2f3 zenon_H2d7 zenon_H29d zenon_H85 zenon_H33e zenon_H23a zenon_H27c zenon_H2f9 zenon_H33c zenon_H301 zenon_H25d zenon_H253 zenon_H260 zenon_H279 zenon_H26e zenon_H342 zenon_H80 zenon_H24d zenon_H27d zenon_H26a zenon_H349 zenon_H204 zenon_H2c zenon_H20a zenon_H214 zenon_H22b zenon_H22a zenon_H2f1 zenon_H2f6 zenon_H33d zenon_H31e zenon_H328 zenon_H352 zenon_H288 zenon_Ha3 zenon_H264 zenon_H33 zenon_H274 zenon_H276.
% 42.98/43.25 apply (zenon_or_s _ _ zenon_H2c7); [ zenon_intro zenon_H1a | zenon_intro zenon_H2c8 ].
% 42.98/43.25 apply (zenon_L4_); trivial.
% 42.98/43.25 apply (zenon_or_s _ _ zenon_H2c8); [ zenon_intro zenon_H1fd | zenon_intro zenon_H2c9 ].
% 42.98/43.25 apply (zenon_L280_); trivial.
% 42.98/43.25 apply (zenon_or_s _ _ zenon_H2c9); [ zenon_intro zenon_H208 | zenon_intro zenon_H2ca ].
% 42.98/43.25 apply (zenon_L154_); trivial.
% 42.98/43.25 apply (zenon_or_s _ _ zenon_H2ca); [ zenon_intro zenon_H210 | zenon_intro zenon_H2cb ].
% 42.98/43.25 apply (zenon_L156_); trivial.
% 42.98/43.25 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H213 | zenon_intro zenon_H2cc ].
% 42.98/43.25 apply (zenon_L157_); trivial.
% 42.98/43.25 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H21b | zenon_intro zenon_H2cd ].
% 42.98/43.25 apply (zenon_L283_); trivial.
% 42.98/43.25 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H225 | zenon_intro zenon_H2ce ].
% 42.98/43.25 apply (zenon_L284_); trivial.
% 42.98/43.25 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H231 | zenon_intro zenon_H2cf ].
% 42.98/43.25 apply (zenon_L164_); trivial.
% 42.98/43.25 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_H245 | zenon_intro zenon_H2d0 ].
% 42.98/43.25 apply (zenon_L299_); trivial.
% 42.98/43.25 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H2a5 | zenon_intro zenon_H2d1 ].
% 42.98/43.25 apply (zenon_L288_); trivial.
% 42.98/43.25 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H2ae | zenon_intro zenon_H2d2 ].
% 42.98/43.25 apply (zenon_L198_); trivial.
% 42.98/43.25 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H2b0 | zenon_intro zenon_H2d3 ].
% 42.98/43.25 apply (zenon_L199_); trivial.
% 42.98/43.25 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H2b3 | zenon_intro zenon_H2d4 ].
% 42.98/43.25 apply (zenon_L200_); trivial.
% 42.98/43.25 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_H2bc | zenon_intro zenon_H2d5 ].
% 42.98/43.25 apply (zenon_L240_); trivial.
% 42.98/43.25 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2c5 ].
% 42.98/43.25 apply (zenon_L203_); trivial.
% 42.98/43.25 apply (zenon_L241_); trivial.
% 42.98/43.25 (* end of lemma zenon_L300_ *)
% 42.98/43.25 assert (zenon_L301_ : ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((e21) = (e23))) -> ((op2 (e23) (e23)) = (e21)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((e22) = (e23))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((e21) = (e22))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (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 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e20)) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))))))))))))))))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((e20) = (e22))) -> ((op2 (e21) (e21)) = (e22)) -> (~((e20) = (e23))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> False).
% 42.98/43.26 do 0 intro. intros zenon_H337 zenon_H276 zenon_H274 zenon_H264 zenon_H288 zenon_H352 zenon_H31e zenon_H33d zenon_H2f6 zenon_H2f1 zenon_H22a zenon_H22b zenon_H214 zenon_H20a zenon_H204 zenon_H349 zenon_H26a zenon_H27d zenon_H24d zenon_H342 zenon_H279 zenon_H260 zenon_H253 zenon_H25d zenon_H301 zenon_H33c zenon_H2f9 zenon_H27c zenon_H23a zenon_H33e zenon_H85 zenon_H29d zenon_H2d7 zenon_H2f3 zenon_H290 zenon_H30b zenon_H345 zenon_H249 zenon_H2eb zenon_H346 zenon_H9c zenon_H2de zenon_H2ee zenon_H256 zenon_H2c7 zenon_H15 zenon_H304 zenon_H328 zenon_H80 zenon_H2c zenon_H33 zenon_H26e.
% 42.98/43.26 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H338 ].
% 42.98/43.26 apply (zenon_L300_); trivial.
% 42.98/43.26 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ].
% 42.98/43.26 exact (zenon_H15 zenon_H14).
% 42.98/43.26 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ].
% 42.98/43.26 apply (zenon_L244_); trivial.
% 42.98/43.26 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ].
% 42.98/43.26 apply (zenon_L173_); trivial.
% 42.98/43.26 apply (zenon_L252_); trivial.
% 42.98/43.26 (* end of lemma zenon_L301_ *)
% 42.98/43.26 assert (zenon_L302_ : ((~((op2 (e22) (e20)) = (e22)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> ((op2 (e21) (e21)) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (e21))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e23) (e23)) = (e21)) -> ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((e21) = (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e22) = (e23))) -> (~((e20) = (e22))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))))))))))))))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((e21) = (e23))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e21) (e21)) = (e21)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (~((e20) = (e23))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> False).
% 42.98/43.26 do 0 intro. intros zenon_H354 zenon_H328 zenon_H256 zenon_H9c zenon_H249 zenon_H345 zenon_H29d zenon_H85 zenon_H33e zenon_H27c zenon_H33c zenon_H253 zenon_H260 zenon_H342 zenon_H24d zenon_H27d zenon_H349 zenon_H214 zenon_H33d zenon_H352 zenon_H274 zenon_H337 zenon_H15 zenon_H2f1 zenon_H22b zenon_H22a zenon_H26a zenon_H279 zenon_H288 zenon_H304 zenon_H2c7 zenon_H2d7 zenon_H204 zenon_H20a zenon_H2e6 zenon_H2eb zenon_H30b zenon_H30e zenon_H2fe zenon_H93 zenon_H31e zenon_H316 zenon_H311 zenon_H321 zenon_H264 zenon_H276 zenon_H23e zenon_H23a zenon_H234 zenon_H242 zenon_H290 zenon_H2e3 zenon_H2de zenon_H2ee zenon_H2f3 zenon_H32b zenon_H25d zenon_H2f9 zenon_H2f6 zenon_H301 zenon_H324 zenon_H32f zenon_H330 zenon_H80 zenon_H2c zenon_H33 zenon_H26e.
% 42.98/43.26 apply (zenon_or_s _ _ zenon_H354); [ zenon_intro zenon_H346 | zenon_intro zenon_H338 ].
% 42.98/43.26 apply (zenon_L301_); trivial.
% 42.98/43.26 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ].
% 42.98/43.26 exact (zenon_H15 zenon_H14).
% 42.98/43.26 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ].
% 42.98/43.26 apply (zenon_L251_); trivial.
% 42.98/43.26 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ].
% 42.98/43.26 apply (zenon_L173_); trivial.
% 42.98/43.26 apply (zenon_L252_); trivial.
% 42.98/43.26 (* end of lemma zenon_L302_ *)
% 42.98/43.26 assert (zenon_L303_ : ((~((op2 (e21) (e20)) = (e21)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> ((~((op2 (e21) (e21)) = (e21)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((e21) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((e20) = (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))))))))))))))))) -> (~((e22) = (e23))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((e21) = (e22))) -> ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> ((op2 (e23) (e23)) = (e21)) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((~((op2 (e22) (e20)) = (e22)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((e20) = (e22))) -> ((op2 (e21) (e21)) = (e22)) -> (~((e20) = (e23))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> False).
% 42.98/43.26 do 0 intro. intros zenon_H33b zenon_H330 zenon_H32f zenon_H324 zenon_H301 zenon_H2f6 zenon_H2f9 zenon_H25d zenon_H32b zenon_H2f3 zenon_H2ee zenon_H2de zenon_H2e3 zenon_H290 zenon_H242 zenon_H234 zenon_H23a zenon_H23e zenon_H276 zenon_H264 zenon_H321 zenon_H311 zenon_H316 zenon_H31e zenon_H93 zenon_H2fe zenon_H30e zenon_H30b zenon_H2eb zenon_H2e6 zenon_H20a zenon_H204 zenon_H2d7 zenon_H2c7 zenon_H288 zenon_H279 zenon_H26a zenon_H22a zenon_H22b zenon_H2f1 zenon_H337 zenon_H274 zenon_H352 zenon_H33d zenon_H349 zenon_H27d zenon_H24d zenon_H342 zenon_H260 zenon_H253 zenon_H33c zenon_H27c zenon_H33e zenon_H85 zenon_H29d zenon_H345 zenon_H249 zenon_H9c zenon_H256 zenon_H354 zenon_H15 zenon_H304 zenon_H328 zenon_H80 zenon_H2c zenon_H33 zenon_H26e.
% 42.98/43.26 apply (zenon_or_s _ _ zenon_H33b); [ zenon_intro zenon_H214 | zenon_intro zenon_H338 ].
% 42.98/43.26 apply (zenon_L302_); trivial.
% 42.98/43.26 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ].
% 42.98/43.26 exact (zenon_H15 zenon_H14).
% 42.98/43.26 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ].
% 42.98/43.26 apply (zenon_L244_); trivial.
% 42.98/43.26 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ].
% 42.98/43.26 apply (zenon_L173_); trivial.
% 42.98/43.26 apply (zenon_L252_); trivial.
% 42.98/43.26 (* end of lemma zenon_L303_ *)
% 42.98/43.26 assert (zenon_L304_ : (~((op2 (e21) (e20)) = (e21))) -> ((~((op2 (e21) (e20)) = (e21)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> ((~((op2 (e21) (e21)) = (e21)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((e21) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((e20) = (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))))))))))))))))) -> (~((e22) = (e23))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((e21) = (e22))) -> ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((~((op2 (e22) (e20)) = (e22)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((e20) = (e22))) -> ((op2 (e21) (e21)) = (e22)) -> (~((e20) = (e23))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> False).
% 42.98/43.26 do 0 intro. intros zenon_H214 zenon_H33b zenon_H330 zenon_H32f zenon_H324 zenon_H301 zenon_H2f6 zenon_H2f9 zenon_H25d zenon_H32b zenon_H2f3 zenon_H2ee zenon_H2de zenon_H2e3 zenon_H290 zenon_H242 zenon_H234 zenon_H23a zenon_H23e zenon_H276 zenon_H264 zenon_H321 zenon_H311 zenon_H316 zenon_H31e zenon_H93 zenon_H2fe zenon_H30e zenon_H30b zenon_H2eb zenon_H2e6 zenon_H20a zenon_H204 zenon_H2d7 zenon_H2c7 zenon_H288 zenon_H279 zenon_H26a zenon_H22a zenon_H22b zenon_H2f1 zenon_H337 zenon_H352 zenon_H33d zenon_H349 zenon_H27d zenon_H24d zenon_H342 zenon_H260 zenon_H253 zenon_H33c zenon_H27c zenon_H33e zenon_H85 zenon_H29d zenon_H345 zenon_H249 zenon_H9c zenon_H256 zenon_H354 zenon_H15 zenon_H304 zenon_H328 zenon_H80 zenon_H2c zenon_H33 zenon_H26e.
% 42.98/43.26 apply (zenon_or_s _ _ zenon_H330); [ zenon_intro zenon_H21a | zenon_intro zenon_H325 ].
% 42.98/43.26 apply (zenon_L291_); trivial.
% 42.98/43.26 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H309 | zenon_intro zenon_H326 ].
% 42.98/43.26 apply (zenon_L298_); trivial.
% 42.98/43.26 apply (zenon_or_s _ _ zenon_H326); [ zenon_intro zenon_H219 | zenon_intro zenon_H327 ].
% 42.98/43.26 apply (zenon_L270_); trivial.
% 42.98/43.26 apply (zenon_or_s _ _ zenon_H327); [ zenon_intro zenon_H2e1 | zenon_intro zenon_H274 ].
% 42.98/43.26 apply (zenon_L209_); trivial.
% 42.98/43.26 apply (zenon_L303_); trivial.
% 42.98/43.26 (* end of lemma zenon_L304_ *)
% 42.98/43.26 assert (zenon_L305_ : ((op2 (e21) (e21)) = (e21)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))))))))))))))))) -> (~((e10) = (e12))) -> (~((e12) = (e13))) -> (~((e11) = (e12))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (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 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((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))))) -> (~((h3 (op1 (e10) (e10))) = (op2 (h3 (e10)) (h3 (e10))))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op2 (e20) (e22)) = (e20))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (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) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (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)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (~((e20) = (e23))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e20)) = (e20))) -> ((~((op2 (e22) (e20)) = (e22)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))))))))))))))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((e21) = (e23))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e21) (e21)) = (e21)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e21) (e20)) = (e21)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((op2 (e21) (e20)) = (e21))) -> (~((e22) = (e23))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((e21) = (e22))) -> False).
% 42.98/43.26 do 0 intro. intros zenon_H219 zenon_Hc4 zenon_H48 zenon_H60 zenon_H42 zenon_H133 zenon_H192 zenon_H16b zenon_H166 zenon_Hbd zenon_Hca zenon_Hf9 zenon_H6e zenon_H5f zenon_He8 zenon_H6a zenon_Hc1 zenon_H105 zenon_H178 zenon_H16e zenon_H174 zenon_H189 zenon_H182 zenon_H66 zenon_H17f zenon_He0 zenon_H57 zenon_H18c zenon_H161 zenon_H126 zenon_H15c zenon_Hb2 zenon_Hac zenon_H152 zenon_H142 zenon_H17b zenon_H11a zenon_H169 zenon_H1db zenon_H1d9 zenon_H1f3 zenon_H1f4 zenon_H1e0 zenon_H1e4 zenon_H1ed zenon_H1ec zenon_H1f5 zenon_H1fc zenon_H1c2 zenon_H1d5 zenon_H73 zenon_H1d3 zenon_H1be zenon_H1d2 zenon_H1b6 zenon_H1ff zenon_H109 zenon_H10d zenon_H56 zenon_H4f zenon_H78 zenon_H2f zenon_H30 zenon_H2b zenon_H7b zenon_H10c zenon_H207 zenon_H19e zenon_H19f zenon_H1a4 zenon_H47 zenon_H1c3 zenon_H1a8 zenon_H1bf zenon_Hf6 zenon_H1ba zenon_H1b0 zenon_H1aa zenon_H1c8 zenon_H1d8 zenon_H1fe zenon_H299 zenon_H29c zenon_Ha2 zenon_Ha8 zenon_H29e zenon_H2c zenon_H80 zenon_H304 zenon_H15 zenon_H354 zenon_H256 zenon_H9c zenon_H249 zenon_H345 zenon_H29d zenon_H85 zenon_H33e zenon_H27c zenon_H33c zenon_H253 zenon_H260 zenon_H342 zenon_H24d zenon_H27d zenon_H349 zenon_H33d zenon_H352 zenon_H337 zenon_H2c7 zenon_H2d7 zenon_H204 zenon_H20a zenon_H2e6 zenon_H2eb zenon_H30b zenon_H30e zenon_H2fe zenon_H93 zenon_H31e zenon_H316 zenon_H311 zenon_H321 zenon_H264 zenon_H276 zenon_H23e zenon_H23a zenon_H234 zenon_H242 zenon_H290 zenon_H2e3 zenon_H2de zenon_H2ee zenon_H2f3 zenon_H32b zenon_H25d zenon_H2f9 zenon_H2f6 zenon_H301 zenon_H324 zenon_H32f zenon_H330 zenon_H33b zenon_H214 zenon_H288 zenon_H279 zenon_H26a zenon_H22a zenon_H33 zenon_H22b zenon_H26e zenon_H2f1.
% 42.98/43.27 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H226 | zenon_intro zenon_H32c ].
% 42.98/43.27 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H338 ].
% 42.98/43.27 apply (zenon_L205_); trivial.
% 42.98/43.27 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ].
% 42.98/43.27 exact (zenon_H15 zenon_H14).
% 42.98/43.27 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ].
% 42.98/43.27 apply (zenon_L212_); trivial.
% 42.98/43.27 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ].
% 42.98/43.27 apply (zenon_L173_); trivial.
% 42.98/43.27 apply (zenon_L252_); trivial.
% 42.98/43.27 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H25a | zenon_intro zenon_H32d ].
% 42.98/43.27 apply (zenon_L294_); trivial.
% 42.98/43.27 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H328 | zenon_intro zenon_H32e ].
% 42.98/43.27 apply (zenon_L304_); trivial.
% 42.98/43.27 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H2ab | zenon_intro zenon_H31a ].
% 42.98/43.27 apply (zenon_L197_); trivial.
% 42.98/43.27 apply (zenon_L245_); trivial.
% 42.98/43.27 (* end of lemma zenon_L305_ *)
% 42.98/43.27 assert (zenon_L306_ : ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op2 (e21) (e22)) = (e21))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (e20))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> (~((h3 (op1 (e10) (e10))) = (op2 (h3 (e10)) (h3 (e10))))) -> (((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 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) 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(e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))))))))))))))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e23) (e23)) = (e21)) -> (~((e21) = (e23))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (~((e20) = (e23))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> False).
% 42.98/43.27 do 0 intro. intros zenon_H337 zenon_H1fe zenon_H1d8 zenon_H1c8 zenon_H1aa zenon_H1b0 zenon_H1ba zenon_Hf6 zenon_H1bf zenon_H1a8 zenon_H1c3 zenon_H47 zenon_H1a4 zenon_H19f zenon_H19e zenon_H226 zenon_H253 zenon_H299 zenon_H207 zenon_H29c zenon_H85 zenon_H10c zenon_H7b zenon_H2b zenon_H30 zenon_H2f zenon_H78 zenon_H4f zenon_H56 zenon_H10d zenon_H109 zenon_Ha8 zenon_H24d zenon_H260 zenon_H256 zenon_H25d zenon_H27c zenon_H249 zenon_H27d zenon_Ha2 zenon_H9c zenon_H29d zenon_H29e zenon_H1ff zenon_H1b6 zenon_H1d2 zenon_H1be zenon_H1d3 zenon_H73 zenon_H1d5 zenon_H1c2 zenon_H1fc zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H1e4 zenon_H1e0 zenon_H1f4 zenon_H1f3 zenon_H1d9 zenon_H1db zenon_H169 zenon_H11a zenon_H17b zenon_H142 zenon_H152 zenon_Hac zenon_Hb2 zenon_H15c zenon_H126 zenon_H161 zenon_H18c zenon_H57 zenon_He0 zenon_H17f zenon_H66 zenon_H182 zenon_H189 zenon_H174 zenon_H16e zenon_H178 zenon_H105 zenon_Hc1 zenon_H6a zenon_He8 zenon_H5f zenon_H6e zenon_Hf9 zenon_Hca zenon_Hbd zenon_H166 zenon_H16b zenon_H192 zenon_H133 zenon_H42 zenon_H60 zenon_H48 zenon_Hc4 zenon_H15 zenon_H2f1 zenon_H22b zenon_H22a zenon_H26a zenon_H279 zenon_H288 zenon_H304 zenon_H2c7 zenon_H2d7 zenon_H204 zenon_H20a zenon_H2e6 zenon_H2eb zenon_H30b zenon_H30e zenon_H2fe zenon_H93 zenon_H31e zenon_H316 zenon_H311 zenon_H321 zenon_H264 zenon_H274 zenon_H276 zenon_H23e zenon_H23a zenon_H234 zenon_H242 zenon_H290 zenon_H2e3 zenon_H2de zenon_H2ee zenon_H2f3 zenon_H32b zenon_H80 zenon_H2c zenon_H33 zenon_H26e.
% 42.98/43.27 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H338 ].
% 42.98/43.27 apply (zenon_or_s _ _ zenon_H2c7); [ zenon_intro zenon_H1a | zenon_intro zenon_H2c8 ].
% 42.98/43.27 apply (zenon_L4_); trivial.
% 42.98/43.27 apply (zenon_or_s _ _ zenon_H2c8); [ zenon_intro zenon_H1fd | zenon_intro zenon_H2c9 ].
% 42.98/43.27 apply (zenon_L150_); trivial.
% 42.98/43.27 apply (zenon_or_s _ _ zenon_H2c9); [ zenon_intro zenon_H208 | zenon_intro zenon_H2ca ].
% 42.98/43.27 apply (zenon_L154_); trivial.
% 42.98/43.27 apply (zenon_or_s _ _ zenon_H2ca); [ zenon_intro zenon_H210 | zenon_intro zenon_H2cb ].
% 42.98/43.27 apply (zenon_L156_); trivial.
% 42.98/43.27 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H213 | zenon_intro zenon_H2cc ].
% 42.98/43.27 apply (zenon_L211_); trivial.
% 42.98/43.27 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H21b | zenon_intro zenon_H2cd ].
% 42.98/43.27 apply (zenon_L160_); trivial.
% 42.98/43.27 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H225 | zenon_intro zenon_H2ce ].
% 42.98/43.27 apply (zenon_L161_); trivial.
% 42.98/43.27 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H231 | zenon_intro zenon_H2cf ].
% 42.98/43.27 apply (zenon_L164_); trivial.
% 42.98/43.27 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_H245 | zenon_intro zenon_H2d0 ].
% 42.98/43.27 apply (zenon_L169_); trivial.
% 42.98/43.27 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H2a5 | zenon_intro zenon_H2d1 ].
% 42.98/43.27 apply (zenon_L196_); trivial.
% 42.98/43.27 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H2ae | zenon_intro zenon_H2d2 ].
% 42.98/43.27 apply (zenon_L198_); trivial.
% 42.98/43.27 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H2b0 | zenon_intro zenon_H2d3 ].
% 42.98/43.27 apply (zenon_L199_); trivial.
% 42.98/43.27 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H2b3 | zenon_intro zenon_H2d4 ].
% 42.98/43.27 apply (zenon_L200_); trivial.
% 42.98/43.27 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_H2bc | zenon_intro zenon_H2d5 ].
% 42.98/43.27 apply (zenon_L240_); trivial.
% 42.98/43.27 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2c5 ].
% 42.98/43.27 apply (zenon_L203_); trivial.
% 42.98/43.27 apply (zenon_L241_); trivial.
% 42.98/43.27 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ].
% 42.98/43.27 exact (zenon_H15 zenon_H14).
% 42.98/43.27 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ].
% 42.98/43.27 apply (zenon_L248_); trivial.
% 42.98/43.27 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ].
% 42.98/43.27 apply (zenon_L173_); trivial.
% 42.98/43.27 apply (zenon_L252_); trivial.
% 42.98/43.27 (* end of lemma zenon_L306_ *)
% 42.98/43.27 assert (zenon_L307_ : (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 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(e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))))))))))))))))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e20)) = (e20))) -> ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> ((op2 (e23) (e23)) = (e21)) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e20)) = (e21))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((~((op2 (e22) (e20)) = (e22)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((e22) = (e23))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((e21) = (e22))) -> False).
% 42.98/43.27 do 0 intro. intros zenon_Hc4 zenon_H48 zenon_H60 zenon_H42 zenon_H133 zenon_H192 zenon_H16b zenon_H166 zenon_Hbd zenon_Hca zenon_Hf9 zenon_H6e zenon_H5f zenon_He8 zenon_H6a zenon_Hc1 zenon_H105 zenon_H178 zenon_H16e zenon_H174 zenon_H189 zenon_H182 zenon_H66 zenon_H17f zenon_He0 zenon_H57 zenon_H18c zenon_H161 zenon_H126 zenon_H15c zenon_Hb2 zenon_Hac zenon_H152 zenon_H142 zenon_H17b zenon_H11a zenon_H169 zenon_H1db zenon_H1d9 zenon_H1f3 zenon_H1f4 zenon_H1e0 zenon_H1e4 zenon_H1ed zenon_H1ec zenon_H1f5 zenon_H1fc zenon_H1c2 zenon_H1d5 zenon_H73 zenon_H1d3 zenon_H1be zenon_H1d2 zenon_H1b6 zenon_H1ff zenon_H29e zenon_H109 zenon_H10d zenon_H56 zenon_H4f zenon_H78 zenon_H2f zenon_H30 zenon_H2b zenon_H7b zenon_H10c zenon_H29c zenon_H207 zenon_H299 zenon_H19e zenon_H19f zenon_H1a4 zenon_H47 zenon_H1c3 zenon_H1a8 zenon_H1bf zenon_Hf6 zenon_H1ba zenon_H1b0 zenon_H1aa zenon_H1c8 zenon_H1d8 zenon_H1fe zenon_Ha2 zenon_Ha8 zenon_H2c zenon_H80 zenon_H330 zenon_H32f zenon_H324 zenon_H301 zenon_H2f6 zenon_H2f9 zenon_H25d zenon_H32b zenon_H2f3 zenon_H2ee zenon_H2de zenon_H2e3 zenon_H290 zenon_H242 zenon_H234 zenon_H23a zenon_H23e zenon_H276 zenon_H264 zenon_H321 zenon_H311 zenon_H316 zenon_H31e zenon_H93 zenon_H2fe zenon_H30e zenon_H30b zenon_H2eb zenon_H2e6 zenon_H20a zenon_H204 zenon_H2d7 zenon_H2c7 zenon_H304 zenon_H15 zenon_H337 zenon_H274 zenon_H352 zenon_H33d zenon_H214 zenon_H349 zenon_H27d zenon_H24d zenon_H342 zenon_H260 zenon_H253 zenon_H33c zenon_H27c zenon_H33e zenon_H85 zenon_H29d zenon_H345 zenon_H249 zenon_H9c zenon_H256 zenon_H354 zenon_H288 zenon_H279 zenon_H26a zenon_H22a zenon_H33 zenon_H22b zenon_H26e zenon_H2f1.
% 42.98/43.27 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H226 | zenon_intro zenon_H32c ].
% 42.98/43.27 apply (zenon_L306_); trivial.
% 42.98/43.27 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H25a | zenon_intro zenon_H32d ].
% 42.98/43.27 apply (zenon_L259_); trivial.
% 42.98/43.27 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H328 | zenon_intro zenon_H32e ].
% 42.98/43.27 apply (zenon_L302_); trivial.
% 42.98/43.27 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H2ab | zenon_intro zenon_H31a ].
% 42.98/43.27 apply (zenon_L197_); trivial.
% 42.98/43.27 apply (zenon_L245_); trivial.
% 42.98/43.27 (* end of lemma zenon_L307_ *)
% 42.98/43.27 assert (zenon_L308_ : ((~((op2 (e21) (e20)) = (e21)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((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)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((e21) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((e22) = (e23))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((op2 (e20) (e20)) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((e20) = (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))))))))))))))))) -> ((~((op2 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> ((~((op2 (e21) (e21)) = (e21)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (~((e20) = (e23))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> False).
% 42.98/43.27 do 0 intro. intros zenon_H33b zenon_H253 zenon_H299 zenon_H29c zenon_H9c zenon_Ha2 zenon_H85 zenon_H27d zenon_H249 zenon_H24d zenon_H27c zenon_H256 zenon_H260 zenon_Ha8 zenon_H29e zenon_H337 zenon_H15 zenon_H276 zenon_H264 zenon_H321 zenon_H311 zenon_H316 zenon_H288 zenon_H31e zenon_H25a zenon_H93 zenon_H2fe zenon_H2f1 zenon_H30e zenon_H22a zenon_H22b zenon_H30b zenon_H2eb zenon_H26a zenon_H2e6 zenon_H20a zenon_H204 zenon_H2d7 zenon_H2c7 zenon_H32f zenon_H324 zenon_H301 zenon_H2f6 zenon_H2f9 zenon_H25d zenon_H32b zenon_H2f3 zenon_H2ee zenon_H2de zenon_H2e3 zenon_H290 zenon_H242 zenon_H234 zenon_H23a zenon_H23e zenon_H304 zenon_H279 zenon_H330 zenon_H80 zenon_H2c zenon_H33 zenon_H26e.
% 42.98/43.27 apply (zenon_or_s _ _ zenon_H33b); [ zenon_intro zenon_H214 | zenon_intro zenon_H338 ].
% 42.98/43.27 apply (zenon_L294_); trivial.
% 42.98/43.27 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ].
% 42.98/43.27 exact (zenon_H15 zenon_H14).
% 42.98/43.27 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ].
% 42.98/43.27 apply (zenon_L258_); trivial.
% 42.98/43.27 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ].
% 42.98/43.27 apply (zenon_L173_); trivial.
% 42.98/43.27 apply (zenon_L252_); trivial.
% 42.98/43.27 (* end of lemma zenon_L308_ *)
% 42.98/43.27 assert (zenon_L309_ : ((~((op2 (e22) (e20)) = (e22)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((e21) = (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e22) = (e23))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))))))))))))))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((e21) = (e23))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e21) (e21)) = (e21)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e21) (e20)) = (e21)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((e20) = (e22))) -> ((op2 (e21) (e21)) = (e22)) -> (~((e20) = (e23))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> False).
% 42.98/43.27 do 0 intro. intros zenon_H354 zenon_H256 zenon_H9c zenon_H249 zenon_H345 zenon_H29d zenon_H85 zenon_H33e zenon_H27c zenon_H33c zenon_H253 zenon_H260 zenon_H342 zenon_H24d zenon_H27d zenon_H349 zenon_H33d zenon_H352 zenon_H337 zenon_H2f1 zenon_H22b zenon_H22a zenon_H26a zenon_H279 zenon_H288 zenon_H2c7 zenon_H2d7 zenon_H204 zenon_H20a zenon_H2e6 zenon_H2eb zenon_H30b zenon_H30e zenon_H2fe zenon_H93 zenon_H31e zenon_H316 zenon_H311 zenon_H321 zenon_H264 zenon_H276 zenon_H23e zenon_H23a zenon_H234 zenon_H242 zenon_H290 zenon_H2e3 zenon_H2de zenon_H2ee zenon_H2f3 zenon_H32b zenon_H25d zenon_H2f9 zenon_H2f6 zenon_H301 zenon_H324 zenon_H32f zenon_H330 zenon_H33b zenon_H15 zenon_H304 zenon_H328 zenon_H80 zenon_H2c zenon_H33 zenon_H26e.
% 42.98/43.27 apply (zenon_or_s _ _ zenon_H33b); [ zenon_intro zenon_H214 | zenon_intro zenon_H338 ].
% 42.98/43.27 apply (zenon_L304_); trivial.
% 42.98/43.27 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ].
% 42.98/43.27 exact (zenon_H15 zenon_H14).
% 42.98/43.27 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ].
% 42.98/43.27 apply (zenon_L244_); trivial.
% 42.98/43.27 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ].
% 42.98/43.27 apply (zenon_L173_); trivial.
% 42.98/43.27 apply (zenon_L252_); trivial.
% 42.98/43.27 (* end of lemma zenon_L309_ *)
% 42.98/43.27 assert (zenon_L310_ : (((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23)))))))) -> ((op2 (e20) (e20)) = (e20)) -> False).
% 42.98/43.27 do 0 intro. intros zenon_H1fd zenon_H14.
% 42.98/43.27 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_H7e. zenon_intro zenon_H200.
% 42.98/43.27 apply (zenon_and_s _ _ zenon_H200). zenon_intro zenon_H99. zenon_intro zenon_H1c.
% 42.98/43.27 apply (zenon_and_s _ _ zenon_H1c). zenon_intro zenon_H16. zenon_intro zenon_H1d.
% 42.98/43.27 apply (zenon_L3_); trivial.
% 42.98/43.27 (* end of lemma zenon_L310_ *)
% 42.98/43.27 assert (zenon_L311_ : (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((op2 (e20) (e20)) = (e20)) -> ((op2 (e20) (e21)) = (e20)) -> False).
% 42.98/43.27 do 0 intro. intros zenon_H355 zenon_H14 zenon_H7e.
% 42.98/43.27 cut (((op2 (e20) (e20)) = (e20)) = ((op2 (e20) (e20)) = (op2 (e20) (e21)))).
% 42.98/43.27 intro zenon_D_pnotp.
% 42.98/43.27 apply zenon_H355.
% 42.98/43.27 rewrite <- zenon_D_pnotp.
% 42.98/43.27 exact zenon_H14.
% 42.98/43.27 cut (((e20) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H2db].
% 42.98/43.27 cut (((op2 (e20) (e20)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H8e].
% 42.98/43.27 congruence.
% 42.98/43.27 apply zenon_H8e. apply refl_equal.
% 42.98/43.27 apply zenon_H2db. apply sym_equal. exact zenon_H7e.
% 42.98/43.27 (* end of lemma zenon_L311_ *)
% 42.98/43.27 assert (zenon_L312_ : (~((e20) = (e22))) -> ((op2 (e22) (e21)) = (e22)) -> ((op2 (e22) (e21)) = (e20)) -> False).
% 42.98/43.27 do 0 intro. intros zenon_H304 zenon_H282 zenon_H24e.
% 42.98/43.27 cut (((op2 (e22) (e21)) = (e22)) = ((e20) = (e22))).
% 42.98/43.27 intro zenon_D_pnotp.
% 42.98/43.27 apply zenon_H304.
% 42.98/43.27 rewrite <- zenon_D_pnotp.
% 42.98/43.27 exact zenon_H282.
% 42.98/43.27 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H201].
% 42.98/43.27 cut (((op2 (e22) (e21)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H356].
% 42.98/43.27 congruence.
% 42.98/43.27 exact (zenon_H356 zenon_H24e).
% 42.98/43.27 apply zenon_H201. apply refl_equal.
% 42.98/43.27 (* end of lemma zenon_L312_ *)
% 42.98/43.27 assert (zenon_L313_ : (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((op2 (e23) (e21)) = (e20)) -> ((e23) = (op2 (e22) (e22))) -> False).
% 42.98/43.27 do 0 intro. intros zenon_H357 zenon_H2c zenon_H358 zenon_H33.
% 42.98/43.27 cut (((e20) = (op2 (op2 (e22) (e22)) (e22))) = ((op2 (e23) (e21)) = (op2 (e23) (e22)))).
% 42.98/43.27 intro zenon_D_pnotp.
% 42.98/43.27 apply zenon_H357.
% 42.98/43.27 rewrite <- zenon_D_pnotp.
% 42.98/43.27 exact zenon_H2c.
% 42.98/43.27 cut (((op2 (op2 (e22) (e22)) (e22)) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H202].
% 42.98/43.27 cut (((e20) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H359].
% 42.98/43.27 congruence.
% 42.98/43.27 elim (classic ((op2 (e23) (e21)) = (op2 (e23) (e21)))); [ zenon_intro zenon_H22e | zenon_intro zenon_H22f ].
% 42.98/43.27 cut (((op2 (e23) (e21)) = (op2 (e23) (e21))) = ((e20) = (op2 (e23) (e21)))).
% 42.98/43.27 intro zenon_D_pnotp.
% 42.98/43.27 apply zenon_H359.
% 42.98/43.27 rewrite <- zenon_D_pnotp.
% 42.98/43.27 exact zenon_H22e.
% 42.98/43.27 cut (((op2 (e23) (e21)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H22f].
% 42.98/43.27 cut (((op2 (e23) (e21)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H35a].
% 42.98/43.27 congruence.
% 42.98/43.27 exact (zenon_H35a zenon_H358).
% 42.98/43.27 apply zenon_H22f. apply refl_equal.
% 42.98/43.27 apply zenon_H22f. apply refl_equal.
% 42.98/43.27 apply (zenon_L152_); trivial.
% 42.98/43.27 (* end of lemma zenon_L313_ *)
% 42.98/43.27 assert (zenon_L314_ : (((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23)))))))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((e21) = (e22))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e22) = (e23))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))))))))))))))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((e20) = (e23))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((e21) = (e23))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e21) (e21)) = (e21)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (~((e20) = (e22))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((e23) = (op2 (e22) (e22))) -> False).
% 42.98/43.27 do 0 intro. intros zenon_H2a5 zenon_H35b zenon_H14 zenon_H355 zenon_H2f1 zenon_H26e zenon_H22b zenon_H22a zenon_H26a zenon_H279 zenon_H288 zenon_H2c7 zenon_H2d7 zenon_H204 zenon_H20a zenon_H2e6 zenon_H2eb zenon_H30b zenon_H30e zenon_H2fe zenon_H93 zenon_H31e zenon_H316 zenon_H80 zenon_H311 zenon_H321 zenon_H264 zenon_H276 zenon_H23e zenon_H23a zenon_H234 zenon_H242 zenon_H290 zenon_H2e3 zenon_H2de zenon_H2ee zenon_H2f3 zenon_H32b zenon_H25d zenon_H2f9 zenon_H2f6 zenon_H301 zenon_H324 zenon_H32f zenon_H330 zenon_H304 zenon_H357 zenon_H2c zenon_H33.
% 42.98/43.27 apply (zenon_and_s _ _ zenon_H2a5). zenon_intro zenon_H282. zenon_intro zenon_H2a6.
% 42.98/43.27 apply (zenon_or_s _ _ zenon_H35b); [ zenon_intro zenon_H7e | zenon_intro zenon_H35c ].
% 42.98/43.27 apply (zenon_L311_); trivial.
% 42.98/43.27 apply (zenon_or_s _ _ zenon_H35c); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H35d ].
% 42.98/43.27 apply (zenon_L251_); trivial.
% 42.98/43.27 apply (zenon_or_s _ _ zenon_H35d); [ zenon_intro zenon_H24e | zenon_intro zenon_H358 ].
% 42.98/43.27 apply (zenon_L312_); trivial.
% 42.98/43.27 apply (zenon_L313_); trivial.
% 42.98/43.27 (* end of lemma zenon_L314_ *)
% 42.98/43.27 assert (zenon_L315_ : (~((op2 (op2 (e22) (e22)) (e22)) = (op2 (e23) (op2 (e23) (e20))))) -> ((op2 (e23) (e20)) = (e22)) -> ((e23) = (op2 (e22) (e22))) -> False).
% 42.98/43.27 do 0 intro. intros zenon_H35e zenon_H35f zenon_H33.
% 42.98/43.27 cut (((e22) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H360].
% 42.98/43.27 cut (((op2 (e22) (e22)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H203].
% 42.98/43.27 congruence.
% 42.98/43.27 apply zenon_H203. apply sym_equal. exact zenon_H33.
% 42.98/43.27 apply zenon_H360. apply sym_equal. exact zenon_H35f.
% 42.98/43.27 (* end of lemma zenon_L315_ *)
% 42.98/43.27 assert (zenon_L316_ : ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((op2 (e23) (e20)) = (e22)) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e23) (op2 (e23) (e20))) = (e20))) -> False).
% 42.98/43.27 do 0 intro. intros zenon_H2c zenon_H35f zenon_H33 zenon_H2c0.
% 42.98/43.27 elim (classic ((e20) = (e20))); [ zenon_intro zenon_H361 | zenon_intro zenon_H12 ].
% 42.98/43.27 cut (((e20) = (e20)) = ((op2 (e23) (op2 (e23) (e20))) = (e20))).
% 42.98/43.27 intro zenon_D_pnotp.
% 42.98/43.27 apply zenon_H2c0.
% 42.98/43.27 rewrite <- zenon_D_pnotp.
% 42.98/43.27 exact zenon_H361.
% 42.98/43.27 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H12].
% 42.98/43.27 cut (((e20) = (op2 (e23) (op2 (e23) (e20))))); [idtac | apply NNPP; zenon_intro zenon_H362].
% 42.98/43.27 congruence.
% 42.98/43.27 cut (((e20) = (op2 (op2 (e22) (e22)) (e22))) = ((e20) = (op2 (e23) (op2 (e23) (e20))))).
% 42.98/43.27 intro zenon_D_pnotp.
% 42.98/43.27 apply zenon_H362.
% 42.98/43.27 rewrite <- zenon_D_pnotp.
% 42.98/43.27 exact zenon_H2c.
% 42.98/43.27 cut (((op2 (op2 (e22) (e22)) (e22)) = (op2 (e23) (op2 (e23) (e20))))); [idtac | apply NNPP; zenon_intro zenon_H35e].
% 42.98/43.27 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H12].
% 42.98/43.27 congruence.
% 42.98/43.27 apply zenon_H12. apply refl_equal.
% 42.98/43.27 apply (zenon_L315_); trivial.
% 42.98/43.27 apply zenon_H12. apply refl_equal.
% 42.98/43.27 apply zenon_H12. apply refl_equal.
% 42.98/43.27 (* end of lemma zenon_L316_ *)
% 42.98/43.27 assert (zenon_L317_ : (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e21) (e22)) = (e22)) -> ((op2 (e23) (e22)) = (e22)) -> False).
% 42.98/43.27 do 0 intro. intros zenon_H234 zenon_H23c zenon_H2b2.
% 42.98/43.27 cut (((op2 (e21) (e22)) = (e22)) = ((op2 (e21) (e22)) = (op2 (e23) (e22)))).
% 42.98/43.27 intro zenon_D_pnotp.
% 42.98/43.27 apply zenon_H234.
% 42.98/43.27 rewrite <- zenon_D_pnotp.
% 42.98/43.27 exact zenon_H23c.
% 42.98/43.27 cut (((e22) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H341].
% 42.98/43.27 cut (((op2 (e21) (e22)) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H238].
% 42.98/43.27 congruence.
% 42.98/43.27 apply zenon_H238. apply refl_equal.
% 42.98/43.27 apply zenon_H341. apply sym_equal. exact zenon_H2b2.
% 42.98/43.27 (* end of lemma zenon_L317_ *)
% 42.98/43.27 assert (zenon_L318_ : (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e23) (op2 (e23) (e20))) = (e20))) -> ((e23) = (op2 (e22) (e22))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((op2 (e20) (e21)) = (e22)) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e23)) = (e21)) -> (~((e21) = (e22))) -> False).
% 42.98/43.27 do 0 intro. intros zenon_H363 zenon_H2c0 zenon_H33 zenon_H2c zenon_H283 zenon_H364 zenon_H23c zenon_H234 zenon_H274 zenon_H2f1.
% 42.98/43.27 apply (zenon_or_s _ _ zenon_H363); [ zenon_intro zenon_H35f | zenon_intro zenon_H365 ].
% 42.98/43.27 apply (zenon_L316_); trivial.
% 42.98/43.27 apply (zenon_or_s _ _ zenon_H365); [ zenon_intro zenon_H367 | zenon_intro zenon_H366 ].
% 42.98/43.27 cut (((op2 (e20) (e21)) = (e22)) = ((op2 (e20) (e21)) = (op2 (e23) (e21)))).
% 42.98/43.27 intro zenon_D_pnotp.
% 42.98/43.27 apply zenon_H364.
% 42.98/43.27 rewrite <- zenon_D_pnotp.
% 42.98/43.27 exact zenon_H283.
% 42.98/43.27 cut (((e22) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H368].
% 42.98/43.27 cut (((op2 (e20) (e21)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H250].
% 42.98/43.27 congruence.
% 42.98/43.27 apply zenon_H250. apply refl_equal.
% 42.98/43.27 apply zenon_H368. apply sym_equal. exact zenon_H367.
% 42.98/43.27 apply (zenon_or_s _ _ zenon_H366); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H31a ].
% 42.98/43.27 apply (zenon_L317_); trivial.
% 42.98/43.27 apply (zenon_L237_); trivial.
% 42.98/43.27 (* end of lemma zenon_L318_ *)
% 42.98/43.27 assert (zenon_L319_ : (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (~((op2 (e21) (e22)) = (e21))) -> ((op2 (e23) (e22)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((e23) = (op2 (e22) (e22))) -> False).
% 42.98/43.27 do 0 intro. intros zenon_H242 zenon_H2c zenon_H226 zenon_H2b2 zenon_H234 zenon_H23e zenon_H33.
% 42.98/43.27 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H235 | zenon_intro zenon_H243 ].
% 42.98/43.27 apply (zenon_L165_); trivial.
% 42.98/43.27 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H228 | zenon_intro zenon_H244 ].
% 42.98/43.27 exact (zenon_H226 zenon_H228).
% 42.98/43.27 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H23c | zenon_intro zenon_H23f ].
% 42.98/43.27 apply (zenon_L317_); trivial.
% 42.98/43.27 apply (zenon_L167_); trivial.
% 42.98/43.27 (* end of lemma zenon_L319_ *)
% 42.98/43.27 assert (zenon_L320_ : (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((~((op2 (e21) (e21)) = (e21)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((e20) = (e23))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((e20) = (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))))))))))))))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((e22) = (e23))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (e21))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((e20) = (e22))) -> ((op2 (e20) (e20)) = (e20)) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((e21) = (e23))) -> False).
% 42.98/43.27 do 0 intro. intros zenon_H357 zenon_H330 zenon_H32f zenon_H324 zenon_H301 zenon_H2f6 zenon_H2f9 zenon_H25d zenon_H32b zenon_H2f3 zenon_H2ee zenon_H2de zenon_H2e3 zenon_H290 zenon_H321 zenon_H311 zenon_H80 zenon_H316 zenon_H31e zenon_H93 zenon_H2fe zenon_H30e zenon_H30b zenon_H2eb zenon_H2e6 zenon_H20a zenon_H204 zenon_H2d7 zenon_H2c7 zenon_H355 zenon_H35b zenon_H288 zenon_H242 zenon_H2c zenon_H234 zenon_H226 zenon_H23a zenon_H23e zenon_H342 zenon_H2f1 zenon_H364 zenon_H363 zenon_H2ad zenon_H304 zenon_H14 zenon_H29d zenon_H264 zenon_H279 zenon_H26a zenon_H22a zenon_H33 zenon_H22b zenon_H26e zenon_H276.
% 42.98/43.27 apply (zenon_or_s _ _ zenon_H2c7); [ zenon_intro zenon_H1a | zenon_intro zenon_H2c8 ].
% 42.98/43.27 apply (zenon_L4_); trivial.
% 42.98/43.27 apply (zenon_or_s _ _ zenon_H2c8); [ zenon_intro zenon_H1fd | zenon_intro zenon_H2c9 ].
% 42.98/43.27 apply (zenon_L310_); trivial.
% 42.98/43.27 apply (zenon_or_s _ _ zenon_H2c9); [ zenon_intro zenon_H208 | zenon_intro zenon_H2ca ].
% 42.98/43.27 apply (zenon_L154_); trivial.
% 42.98/43.27 apply (zenon_or_s _ _ zenon_H2ca); [ zenon_intro zenon_H210 | zenon_intro zenon_H2cb ].
% 42.98/43.27 apply (zenon_L156_); trivial.
% 42.98/43.27 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H213 | zenon_intro zenon_H2cc ].
% 42.98/43.27 apply (zenon_L211_); trivial.
% 42.98/43.27 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H21b | zenon_intro zenon_H2cd ].
% 42.98/43.27 apply (zenon_L160_); trivial.
% 42.98/43.27 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H225 | zenon_intro zenon_H2ce ].
% 42.98/43.27 apply (zenon_L161_); trivial.
% 42.98/43.27 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H231 | zenon_intro zenon_H2cf ].
% 42.98/43.27 apply (zenon_L164_); trivial.
% 42.98/43.27 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_H245 | zenon_intro zenon_H2d0 ].
% 42.98/43.27 apply (zenon_L169_); trivial.
% 42.98/43.27 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H2a5 | zenon_intro zenon_H2d1 ].
% 42.98/43.27 apply (zenon_L314_); trivial.
% 42.98/43.27 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H2ae | zenon_intro zenon_H2d2 ].
% 42.98/43.27 apply (zenon_L198_); trivial.
% 42.98/43.27 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H2b0 | zenon_intro zenon_H2d3 ].
% 42.98/43.27 apply (zenon_L199_); trivial.
% 42.98/43.27 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H2b3 | zenon_intro zenon_H2d4 ].
% 42.98/43.27 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_Ha6. zenon_intro zenon_H2b4.
% 42.98/43.27 apply (zenon_and_s _ _ zenon_H2b4). zenon_intro zenon_H92. zenon_intro zenon_H2be.
% 42.98/43.27 apply (zenon_and_s _ _ zenon_H2be). zenon_intro zenon_H2c0. zenon_intro zenon_H2bf.
% 42.98/43.27 apply (zenon_or_s _ _ zenon_H29d); [ zenon_intro zenon_H25a | zenon_intro zenon_H2a3 ].
% 42.98/43.27 apply (zenon_L226_); trivial.
% 42.98/43.27 apply (zenon_or_s _ _ zenon_H2a3); [ zenon_intro zenon_H283 | zenon_intro zenon_H2a4 ].
% 42.98/43.27 apply (zenon_or_s _ _ zenon_H342); [ zenon_intro zenon_H23b | zenon_intro zenon_H343 ].
% 42.98/43.27 apply (zenon_L168_); trivial.
% 42.98/43.27 apply (zenon_or_s _ _ zenon_H343); [ zenon_intro zenon_H23c | zenon_intro zenon_H344 ].
% 42.98/43.27 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H26b | zenon_intro zenon_H27a ].
% 42.98/43.27 apply (zenon_L180_); trivial.
% 42.98/43.27 apply (zenon_or_s _ _ zenon_H27a); [ zenon_intro zenon_H22c | zenon_intro zenon_H27b ].
% 42.98/43.27 apply (zenon_L163_); trivial.
% 42.98/43.27 apply (zenon_or_s _ _ zenon_H27b); [ zenon_intro zenon_H26f | zenon_intro zenon_H274 ].
% 42.98/43.27 apply (zenon_L181_); trivial.
% 42.98/43.27 apply (zenon_L318_); trivial.
% 42.98/43.27 apply (zenon_or_s _ _ zenon_H344); [ zenon_intro zenon_H2ab | zenon_intro zenon_H2b2 ].
% 42.98/43.27 exact (zenon_H2ad zenon_H2ab).
% 42.98/43.27 apply (zenon_L319_); trivial.
% 42.98/43.27 apply (zenon_or_s _ _ zenon_H2a4); [ zenon_intro zenon_H23b | zenon_intro zenon_H25b ].
% 42.98/43.27 apply (zenon_L168_); trivial.
% 42.98/43.27 apply (zenon_L186_); trivial.
% 42.98/43.27 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_H2bc | zenon_intro zenon_H2d5 ].
% 42.98/43.27 apply (zenon_L202_); trivial.
% 42.98/43.27 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2c5 ].
% 42.98/43.27 apply (zenon_L203_); trivial.
% 42.98/43.27 apply (zenon_L204_); trivial.
% 42.98/43.27 (* end of lemma zenon_L320_ *)
% 42.98/43.27 assert (zenon_L321_ : (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e21) (e21)) = (e22)) -> ((op2 (e23) (e21)) = (e22)) -> False).
% 42.98/43.27 do 0 intro. intros zenon_H369 zenon_H328 zenon_H367.
% 42.98/43.27 cut (((op2 (e21) (e21)) = (e22)) = ((op2 (e21) (e21)) = (op2 (e23) (e21)))).
% 42.98/43.27 intro zenon_D_pnotp.
% 42.98/43.27 apply zenon_H369.
% 42.98/43.27 rewrite <- zenon_D_pnotp.
% 42.98/43.27 exact zenon_H328.
% 42.98/43.27 cut (((e22) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H368].
% 42.98/43.27 cut (((op2 (e21) (e21)) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H2d9].
% 42.98/43.27 congruence.
% 42.98/43.27 apply zenon_H2d9. apply refl_equal.
% 42.98/43.27 apply zenon_H368. apply sym_equal. exact zenon_H367.
% 42.98/43.27 (* end of lemma zenon_L321_ *)
% 42.98/43.27 assert (zenon_L322_ : (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e21)) = (e22)) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (op2 (e23) (e21))) = (e21))) -> ((op2 (e23) (e23)) = (e21)) -> False).
% 42.98/43.27 do 0 intro. intros zenon_H36a zenon_H2c zenon_H357 zenon_H33 zenon_H22b zenon_H22a zenon_H328 zenon_H369 zenon_H2b5 zenon_H274.
% 42.98/43.27 apply (zenon_or_s _ _ zenon_H36a); [ zenon_intro zenon_H358 | zenon_intro zenon_H36b ].
% 42.98/43.27 apply (zenon_L313_); trivial.
% 42.98/43.27 apply (zenon_or_s _ _ zenon_H36b); [ zenon_intro zenon_H22c | zenon_intro zenon_H36c ].
% 42.98/43.27 apply (zenon_L163_); trivial.
% 42.98/43.27 apply (zenon_or_s _ _ zenon_H36c); [ zenon_intro zenon_H367 | zenon_intro zenon_H2b6 ].
% 42.98/43.27 apply (zenon_L321_); trivial.
% 42.98/43.27 apply (zenon_L201_); trivial.
% 42.98/43.27 (* end of lemma zenon_L322_ *)
% 42.98/43.27 assert (zenon_L323_ : (((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23)))))))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e21)) = (e22)) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> False).
% 42.98/43.27 do 0 intro. intros zenon_H2b3 zenon_H279 zenon_H26a zenon_H26e zenon_H36a zenon_H2c zenon_H357 zenon_H33 zenon_H22b zenon_H22a zenon_H328 zenon_H369.
% 42.98/43.27 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_Ha6. zenon_intro zenon_H2b4.
% 42.98/43.27 apply (zenon_and_s _ _ zenon_H2b4). zenon_intro zenon_H92. zenon_intro zenon_H2be.
% 42.98/43.27 apply (zenon_and_s _ _ zenon_H2be). zenon_intro zenon_H2c0. zenon_intro zenon_H2bf.
% 42.98/43.27 apply (zenon_and_s _ _ zenon_H2bf). zenon_intro zenon_H2b5. zenon_intro zenon_H2c1.
% 42.98/43.27 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H26b | zenon_intro zenon_H27a ].
% 42.98/43.27 apply (zenon_L180_); trivial.
% 42.98/43.27 apply (zenon_or_s _ _ zenon_H27a); [ zenon_intro zenon_H22c | zenon_intro zenon_H27b ].
% 42.98/43.27 apply (zenon_L163_); trivial.
% 42.98/43.27 apply (zenon_or_s _ _ zenon_H27b); [ zenon_intro zenon_H26f | zenon_intro zenon_H274 ].
% 42.98/43.27 apply (zenon_L181_); trivial.
% 42.98/43.27 apply (zenon_L322_); trivial.
% 42.98/43.27 (* end of lemma zenon_L323_ *)
% 42.98/43.27 assert (zenon_L324_ : ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))))))))))))))))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((e21) = (e22))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((e22) = (e23))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e21) (e21)) = (e22)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((e21) = (e23))) -> False).
% 42.98/43.27 do 0 intro. intros zenon_H2c7 zenon_H14 zenon_H204 zenon_H20a zenon_H290 zenon_H24d zenon_H2e3 zenon_H2eb zenon_H2de zenon_H2ee zenon_H2f3 zenon_H2f1 zenon_H2f6 zenon_H33d zenon_H31e zenon_H352 zenon_H288 zenon_H369 zenon_H328 zenon_H357 zenon_H2c zenon_H36a zenon_H264 zenon_H279 zenon_H26a zenon_H22a zenon_H33 zenon_H22b zenon_H26e zenon_H276.
% 42.98/43.27 apply (zenon_or_s _ _ zenon_H2c7); [ zenon_intro zenon_H1a | zenon_intro zenon_H2c8 ].
% 42.98/43.27 apply (zenon_L4_); trivial.
% 42.98/43.27 apply (zenon_or_s _ _ zenon_H2c8); [ zenon_intro zenon_H1fd | zenon_intro zenon_H2c9 ].
% 42.98/43.27 apply (zenon_L310_); trivial.
% 42.98/43.27 apply (zenon_or_s _ _ zenon_H2c9); [ zenon_intro zenon_H208 | zenon_intro zenon_H2ca ].
% 42.98/43.27 apply (zenon_L154_); trivial.
% 42.98/43.27 apply (zenon_or_s _ _ zenon_H2ca); [ zenon_intro zenon_H210 | zenon_intro zenon_H2cb ].
% 42.98/43.27 apply (zenon_L156_); trivial.
% 42.98/43.27 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H213 | zenon_intro zenon_H2cc ].
% 42.98/43.27 apply (zenon_L282_); trivial.
% 42.98/43.27 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H21b | zenon_intro zenon_H2cd ].
% 42.98/43.27 apply (zenon_L283_); trivial.
% 42.98/43.27 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H225 | zenon_intro zenon_H2ce ].
% 42.98/43.27 apply (zenon_L284_); trivial.
% 42.98/43.27 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H231 | zenon_intro zenon_H2cf ].
% 42.98/43.27 apply (zenon_L164_); trivial.
% 42.98/43.27 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_H245 | zenon_intro zenon_H2d0 ].
% 42.98/43.27 apply (zenon_L286_); trivial.
% 42.98/43.27 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H2a5 | zenon_intro zenon_H2d1 ].
% 42.98/43.27 apply (zenon_L288_); trivial.
% 42.98/43.27 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H2ae | zenon_intro zenon_H2d2 ].
% 42.98/43.27 apply (zenon_L198_); trivial.
% 42.98/43.27 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H2b0 | zenon_intro zenon_H2d3 ].
% 42.98/43.27 apply (zenon_L199_); trivial.
% 42.98/43.27 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H2b3 | zenon_intro zenon_H2d4 ].
% 42.98/43.27 apply (zenon_L323_); trivial.
% 42.98/43.27 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_H2bc | zenon_intro zenon_H2d5 ].
% 42.98/43.27 apply (zenon_L202_); trivial.
% 42.98/43.27 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2c5 ].
% 42.98/43.27 apply (zenon_L203_); trivial.
% 42.98/43.27 apply (zenon_L204_); trivial.
% 42.98/43.27 (* end of lemma zenon_L324_ *)
% 42.98/43.27 assert (zenon_L325_ : ((~((op2 (e22) (e22)) = (e22)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (e21))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((e20) = (e21))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((e20) = (e23))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e21) (e21)) = (e21)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (~((e20) = (e22))) -> (~((e21) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e20)) = (e20)) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))))))))))))))))) -> (~((e22) = (e23))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((e21) = (e22))) -> False).
% 42.98/43.27 do 0 intro. intros zenon_H36d zenon_H29d zenon_H363 zenon_H364 zenon_H342 zenon_H23e zenon_H23a zenon_H226 zenon_H234 zenon_H242 zenon_H35b zenon_H355 zenon_H2d7 zenon_H2e6 zenon_H30b zenon_H30e zenon_H2fe zenon_H93 zenon_H316 zenon_H80 zenon_H311 zenon_H321 zenon_H32b zenon_H25d zenon_H2f9 zenon_H301 zenon_H324 zenon_H32f zenon_H330 zenon_H304 zenon_H276 zenon_H264 zenon_H36a zenon_H2c zenon_H357 zenon_H369 zenon_H352 zenon_H31e zenon_H33d zenon_H2f6 zenon_H2f3 zenon_H2ee zenon_H2de zenon_H2eb zenon_H2e3 zenon_H24d zenon_H290 zenon_H20a zenon_H204 zenon_H14 zenon_H2c7 zenon_H288 zenon_H279 zenon_H26a zenon_H22a zenon_H33 zenon_H22b zenon_H26e zenon_H2f1.
% 42.98/43.27 apply (zenon_or_s _ _ zenon_H36d); [ zenon_intro zenon_H2ad | zenon_intro zenon_H32c ].
% 42.98/43.27 apply (zenon_L320_); trivial.
% 42.98/43.27 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H25a | zenon_intro zenon_H32d ].
% 42.98/43.27 apply (zenon_L226_); trivial.
% 42.98/43.27 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H328 | zenon_intro zenon_H32e ].
% 42.98/43.27 apply (zenon_L324_); trivial.
% 42.98/43.27 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H2ab | zenon_intro zenon_H31a ].
% 42.98/43.27 apply (zenon_L197_); trivial.
% 42.98/43.27 apply (zenon_L245_); trivial.
% 42.98/43.27 (* end of lemma zenon_L325_ *)
% 42.98/43.27 assert (zenon_L326_ : ((~((op2 (e21) (e21)) = (e21)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((e20) = (e23))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> ((~((op2 (e22) (e22)) = (e22)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (~((e20) = (e22))) -> (~((e21) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e20)) = (e20)) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))))))))))))))))) -> (~((e22) = (e23))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((e21) = (e22))) -> False).
% 42.98/43.27 do 0 intro. intros zenon_H330 zenon_H32f zenon_H324 zenon_H301 zenon_H2f9 zenon_H25d zenon_H32b zenon_H321 zenon_H311 zenon_H80 zenon_H316 zenon_H93 zenon_H2fe zenon_H30e zenon_H30b zenon_H2e6 zenon_H2d7 zenon_H355 zenon_H35b zenon_H242 zenon_H234 zenon_H23a zenon_H23e zenon_H342 zenon_H364 zenon_H363 zenon_H29d zenon_H36d zenon_H304 zenon_H276 zenon_H264 zenon_H36a zenon_H2c zenon_H357 zenon_H369 zenon_H352 zenon_H31e zenon_H33d zenon_H2f6 zenon_H2f3 zenon_H2ee zenon_H2de zenon_H2eb zenon_H2e3 zenon_H24d zenon_H290 zenon_H20a zenon_H204 zenon_H14 zenon_H2c7 zenon_H288 zenon_H279 zenon_H26a zenon_H22a zenon_H33 zenon_H22b zenon_H26e zenon_H2f1.
% 42.98/43.27 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H226 | zenon_intro zenon_H32c ].
% 42.98/43.27 apply (zenon_L325_); trivial.
% 42.98/43.27 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H25a | zenon_intro zenon_H32d ].
% 42.98/43.27 apply (zenon_L226_); trivial.
% 42.98/43.27 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H328 | zenon_intro zenon_H32e ].
% 42.98/43.27 apply (zenon_L324_); trivial.
% 42.98/43.27 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H2ab | zenon_intro zenon_H31a ].
% 42.98/43.27 apply (zenon_L197_); trivial.
% 42.98/43.27 apply (zenon_L245_); trivial.
% 42.98/43.27 (* end of lemma zenon_L326_ *)
% 42.98/43.27 assert (zenon_L327_ : (~((h3 (e11)) = (e21))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> False).
% 42.98/43.27 do 0 intro. intros zenon_H36e zenon_H36f zenon_H22b.
% 42.98/43.27 cut (((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) = ((h3 (e11)) = (e21))).
% 42.98/43.27 intro zenon_D_pnotp.
% 42.98/43.27 apply zenon_H36e.
% 42.98/43.27 rewrite <- zenon_D_pnotp.
% 42.98/43.27 exact zenon_H36f.
% 42.98/43.27 cut (((op2 (op2 (e22) (e22)) (op2 (e22) (e22))) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H370].
% 42.98/43.27 cut (((h3 (e11)) = (h3 (e11)))); [idtac | apply NNPP; zenon_intro zenon_H371].
% 42.98/43.27 congruence.
% 42.98/43.27 apply zenon_H371. apply refl_equal.
% 42.98/43.27 apply zenon_H370. apply sym_equal. exact zenon_H22b.
% 42.98/43.27 (* end of lemma zenon_L327_ *)
% 42.98/43.27 assert (zenon_L328_ : (~((h3 (op1 (e10) (e11))) = (op2 (h3 (e10)) (h3 (e11))))) -> ((op1 (e10) (e11)) = (e10)) -> ((op2 (e20) (e21)) = (e20)) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> False).
% 42.98/43.27 do 0 intro. intros zenon_H372 zenon_H40 zenon_H7e zenon_H2b zenon_H2c zenon_H36f zenon_H22b.
% 42.98/43.27 cut (((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) = ((h3 (op1 (e10) (e11))) = (op2 (h3 (e10)) (h3 (e11))))).
% 42.98/43.27 intro zenon_D_pnotp.
% 42.98/43.27 apply zenon_H372.
% 42.98/43.27 rewrite <- zenon_D_pnotp.
% 42.98/43.27 exact zenon_H2b.
% 42.98/43.27 cut (((op2 (op2 (e22) (e22)) (e22)) = (op2 (h3 (e10)) (h3 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H373].
% 42.98/43.27 cut (((h3 (e10)) = (h3 (op1 (e10) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H374].
% 42.98/43.27 congruence.
% 42.98/43.27 elim (classic ((h3 (op1 (e10) (e11))) = (h3 (op1 (e10) (e11))))); [ zenon_intro zenon_H375 | zenon_intro zenon_H376 ].
% 42.98/43.27 cut (((h3 (op1 (e10) (e11))) = (h3 (op1 (e10) (e11)))) = ((h3 (e10)) = (h3 (op1 (e10) (e11))))).
% 42.98/43.27 intro zenon_D_pnotp.
% 42.98/43.27 apply zenon_H374.
% 42.98/43.27 rewrite <- zenon_D_pnotp.
% 42.98/43.27 exact zenon_H375.
% 42.98/43.27 cut (((h3 (op1 (e10) (e11))) = (h3 (op1 (e10) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H376].
% 42.98/43.27 cut (((h3 (op1 (e10) (e11))) = (h3 (e10)))); [idtac | apply NNPP; zenon_intro zenon_H377].
% 42.98/43.27 congruence.
% 42.98/43.27 cut (((op1 (e10) (e11)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H378].
% 42.98/43.27 congruence.
% 42.98/43.27 exact (zenon_H378 zenon_H40).
% 42.98/43.27 apply zenon_H376. apply refl_equal.
% 42.98/43.27 apply zenon_H376. apply refl_equal.
% 42.98/43.27 elim (classic ((op2 (h3 (e10)) (h3 (e11))) = (op2 (h3 (e10)) (h3 (e11))))); [ zenon_intro zenon_H379 | zenon_intro zenon_H37a ].
% 42.98/43.27 cut (((op2 (h3 (e10)) (h3 (e11))) = (op2 (h3 (e10)) (h3 (e11)))) = ((op2 (op2 (e22) (e22)) (e22)) = (op2 (h3 (e10)) (h3 (e11))))).
% 42.98/43.27 intro zenon_D_pnotp.
% 42.98/43.27 apply zenon_H373.
% 42.98/43.27 rewrite <- zenon_D_pnotp.
% 42.98/43.27 exact zenon_H379.
% 42.98/43.27 cut (((op2 (h3 (e10)) (h3 (e11))) = (op2 (h3 (e10)) (h3 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H37a].
% 42.98/43.27 cut (((op2 (h3 (e10)) (h3 (e11))) = (op2 (op2 (e22) (e22)) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H37b].
% 42.98/43.27 congruence.
% 42.98/43.27 cut (((op2 (e20) (e21)) = (e20)) = ((op2 (h3 (e10)) (h3 (e11))) = (op2 (op2 (e22) (e22)) (e22)))).
% 42.98/43.27 intro zenon_D_pnotp.
% 42.98/43.27 apply zenon_H37b.
% 42.98/43.27 rewrite <- zenon_D_pnotp.
% 42.98/43.27 exact zenon_H7e.
% 42.98/43.27 cut (((e20) = (op2 (op2 (e22) (e22)) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H37c].
% 42.98/43.27 cut (((op2 (e20) (e21)) = (op2 (h3 (e10)) (h3 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H37d].
% 42.98/43.27 congruence.
% 42.98/43.27 elim (classic ((op2 (h3 (e10)) (h3 (e11))) = (op2 (h3 (e10)) (h3 (e11))))); [ zenon_intro zenon_H379 | zenon_intro zenon_H37a ].
% 42.98/43.27 cut (((op2 (h3 (e10)) (h3 (e11))) = (op2 (h3 (e10)) (h3 (e11)))) = ((op2 (e20) (e21)) = (op2 (h3 (e10)) (h3 (e11))))).
% 42.98/43.27 intro zenon_D_pnotp.
% 42.98/43.27 apply zenon_H37d.
% 42.98/43.27 rewrite <- zenon_D_pnotp.
% 42.98/43.27 exact zenon_H379.
% 42.98/43.27 cut (((op2 (h3 (e10)) (h3 (e11))) = (op2 (h3 (e10)) (h3 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H37a].
% 42.98/43.27 cut (((op2 (h3 (e10)) (h3 (e11))) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H37e].
% 42.98/43.27 congruence.
% 42.98/43.27 cut (((h3 (e11)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H36e].
% 42.98/43.27 cut (((h3 (e10)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H2a].
% 42.98/43.27 congruence.
% 42.98/43.27 apply (zenon_L9_); trivial.
% 42.98/43.27 apply (zenon_L327_); trivial.
% 42.98/43.27 apply zenon_H37a. apply refl_equal.
% 42.98/43.27 apply zenon_H37a. apply refl_equal.
% 42.98/43.27 exact (zenon_H37c zenon_H2c).
% 42.98/43.27 apply zenon_H37a. apply refl_equal.
% 42.98/43.27 apply zenon_H37a. apply refl_equal.
% 42.98/43.27 (* end of lemma zenon_L328_ *)
% 42.98/43.27 assert (zenon_L329_ : (((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13)))))))) -> (~((h3 (op1 (e10) (e11))) = (op2 (h3 (e10)) (h3 (e11))))) -> ((op2 (e20) (e21)) = (e20)) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> False).
% 42.98/43.27 do 0 intro. intros zenon_Ha7 zenon_H372 zenon_H7e zenon_H2b zenon_H2c zenon_H36f zenon_H22b.
% 42.98/43.27 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H40. zenon_intro zenon_Ha9.
% 42.98/43.27 apply (zenon_L328_); trivial.
% 42.98/43.27 (* end of lemma zenon_L329_ *)
% 42.98/43.27 assert (zenon_L330_ : (((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13)))))))) -> (~((op1 (e11) (e10)) = (e11))) -> False).
% 42.98/43.27 do 0 intro. intros zenon_Hcd zenon_H15b.
% 42.98/43.27 apply (zenon_and_s _ _ zenon_Hcd). zenon_intro zenon_Hcf. zenon_intro zenon_Hce.
% 42.98/43.27 exact (zenon_H15b zenon_Hcf).
% 42.98/43.27 (* end of lemma zenon_L330_ *)
% 42.98/43.27 assert (zenon_L331_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (e10))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((op2 (e20) (e21)) = (e20)) -> (~((h3 (op1 (e10) (e11))) = (op2 (h3 (e10)) (h3 (e11))))) -> (~((op1 (e10) (e12)) = (e10))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (op1 (e12) (e13))) = (e13))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> False).
% 42.98/43.27 do 0 intro. intros zenon_H10c zenon_H21 zenon_H22b zenon_H36f zenon_H2c zenon_H2b zenon_H7e zenon_H372 zenon_Haf zenon_H109 zenon_Hf6 zenon_H57 zenon_Hf9 zenon_H100 zenon_H48 zenon_H105.
% 42.98/43.27 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_H20 | zenon_intro zenon_H10e ].
% 42.98/43.27 exact (zenon_H21 zenon_H20).
% 42.98/43.27 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H40 | zenon_intro zenon_H10f ].
% 42.98/43.27 apply (zenon_L328_); trivial.
% 42.98/43.27 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_Had | zenon_intro zenon_Hba ].
% 42.98/43.27 exact (zenon_Haf zenon_Had).
% 42.98/43.27 apply (zenon_L57_); trivial.
% 42.98/43.27 (* end of lemma zenon_L331_ *)
% 42.98/43.27 assert (zenon_L332_ : (((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13)))))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (e10))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((op2 (e20) (e21)) = (e20)) -> (~((h3 (op1 (e10) (e11))) = (op2 (h3 (e10)) (h3 (e11))))) -> (~((op1 (e10) (e12)) = (e10))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> False).
% 42.98/43.27 do 0 intro. intros zenon_H112 zenon_H10c zenon_H21 zenon_H22b zenon_H36f zenon_H2c zenon_H2b zenon_H7e zenon_H372 zenon_Haf zenon_H109 zenon_Hf6 zenon_H57 zenon_Hf9 zenon_H48 zenon_H105.
% 42.98/43.27 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H114. zenon_intro zenon_H113.
% 42.98/43.27 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_H67. zenon_intro zenon_Hee.
% 42.98/43.27 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_Hef. zenon_intro zenon_H115.
% 42.98/43.27 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_H117. zenon_intro zenon_H116.
% 42.98/43.27 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H118. zenon_intro zenon_H100.
% 42.98/43.27 apply (zenon_L331_); trivial.
% 42.98/43.27 (* end of lemma zenon_L332_ *)
% 42.98/43.27 assert (zenon_L333_ : ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))))))))))))))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (e10))) -> (~((h3 (op1 (e10) (e11))) = (op2 (h3 (e10)) (h3 (e11))))) -> ((op2 (e20) (e21)) = (e20)) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((e12) = (e13))) -> (~((op1 (e13) (e10)) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((e11) = (e13))) -> False).
% 42.98/43.27 do 0 intro. intros zenon_H142 zenon_Hac zenon_Hb2 zenon_H15b zenon_H6a zenon_He8 zenon_H6f zenon_H5f zenon_H60 zenon_H6e zenon_Hf9 zenon_Hf6 zenon_H109 zenon_Haf zenon_H372 zenon_H7e zenon_H2b zenon_H2c zenon_H36f zenon_H22b zenon_H21 zenon_H10c zenon_H11a zenon_H123 zenon_H105 zenon_H133 zenon_H126 zenon_He0 zenon_H48 zenon_H57 zenon_Hc4 zenon_Hc1.
% 42.98/43.27 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H26 | zenon_intro zenon_H143 ].
% 42.98/43.27 apply (zenon_L8_); trivial.
% 42.98/43.27 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H144 ].
% 42.98/43.27 apply (zenon_L329_); trivial.
% 42.98/43.27 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H145 ].
% 42.98/43.27 apply (zenon_L34_); trivial.
% 42.98/43.27 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H146 ].
% 42.98/43.27 apply (zenon_L36_); trivial.
% 42.98/43.27 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hcd | zenon_intro zenon_H147 ].
% 42.98/43.27 apply (zenon_L330_); trivial.
% 42.98/43.27 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H148 ].
% 42.98/43.27 apply (zenon_L45_); trivial.
% 42.98/43.27 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_Hde | zenon_intro zenon_H149 ].
% 42.98/43.27 apply (zenon_L46_); trivial.
% 42.98/43.27 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_He6 | zenon_intro zenon_H14a ].
% 42.98/43.27 apply (zenon_L48_); trivial.
% 42.98/43.27 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Heb | zenon_intro zenon_H14b ].
% 42.98/43.27 apply (zenon_L51_); trivial.
% 42.98/43.27 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H112 | zenon_intro zenon_H14c ].
% 42.98/43.27 apply (zenon_L332_); trivial.
% 42.98/43.27 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H11d | zenon_intro zenon_H14d ].
% 42.98/43.27 apply (zenon_L61_); trivial.
% 42.98/43.27 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H11f | zenon_intro zenon_H14e ].
% 42.98/43.27 apply (zenon_L62_); trivial.
% 42.98/43.27 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H122 | zenon_intro zenon_H14f ].
% 42.98/43.27 apply (zenon_L63_); trivial.
% 42.98/43.27 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H132 | zenon_intro zenon_H150 ].
% 42.98/43.27 apply (zenon_L66_); trivial.
% 42.98/43.27 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H13b | zenon_intro zenon_H140 ].
% 42.98/43.28 apply (zenon_L67_); trivial.
% 42.98/43.28 apply (zenon_L70_); trivial.
% 42.98/43.28 (* end of lemma zenon_L333_ *)
% 42.98/43.28 assert (zenon_L334_ : ((~((op1 (e11) (e10)) = (e11)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((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))))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((op2 (e20) (e21)) = (e20)) -> (~((h3 (op1 (e10) (e11))) = (op2 (h3 (e10)) (h3 (e11))))) -> (~((op1 (e10) (e12)) = (e10))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (e10))) -> (~((e11) = (e12))) -> (~((e12) = (e13))) -> (~((e10) = (e12))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))))))))))))))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> False).
% 42.98/43.28 do 0 intro. intros zenon_H37f zenon_H1d8 zenon_H1c2 zenon_H1d5 zenon_H73 zenon_H1d3 zenon_H1be zenon_H1d2 zenon_H1b6 zenon_H1c8 zenon_H1aa zenon_H1b0 zenon_H1ba zenon_Hf6 zenon_H1bf zenon_H1a8 zenon_H1c3 zenon_H47 zenon_H1a4 zenon_H19f zenon_H19e zenon_H10c zenon_H22b zenon_H36f zenon_H2c zenon_H2b zenon_H7e zenon_H372 zenon_Haf zenon_H109 zenon_H21 zenon_H169 zenon_H11a zenon_H17b zenon_H142 zenon_H152 zenon_Hac zenon_Hb2 zenon_H15c zenon_H126 zenon_H161 zenon_H18c zenon_H57 zenon_He0 zenon_H17f zenon_H66 zenon_H182 zenon_H189 zenon_H174 zenon_H16e zenon_H178 zenon_H105 zenon_Hc1 zenon_H6a zenon_He8 zenon_H5f zenon_H6e zenon_Hf9 zenon_Hca zenon_Hbd zenon_H166 zenon_H16b zenon_H192 zenon_H133 zenon_H42 zenon_H60 zenon_H48 zenon_Hc4.
% 42.98/43.28 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H15b | zenon_intro zenon_H1a5 ].
% 42.98/43.28 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H6f | zenon_intro zenon_H193 ].
% 42.98/43.28 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H123 | zenon_intro zenon_H1a5 ].
% 42.98/43.28 apply (zenon_L333_); trivial.
% 42.98/43.28 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H20 | zenon_intro zenon_H1a6 ].
% 42.98/43.28 exact (zenon_H21 zenon_H20).
% 42.98/43.28 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H151 | zenon_intro zenon_H1a7 ].
% 42.98/43.28 apply (zenon_L100_); trivial.
% 42.98/43.28 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H196 | zenon_intro zenon_H198 ].
% 42.98/43.28 apply (zenon_L101_); trivial.
% 42.98/43.28 apply (zenon_L102_); trivial.
% 42.98/43.28 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H17c | zenon_intro zenon_H194 ].
% 42.98/43.28 apply (zenon_L104_); trivial.
% 42.98/43.28 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H18f | zenon_intro zenon_H195 ].
% 42.98/43.28 apply (zenon_L132_); trivial.
% 42.98/43.28 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H119 | zenon_intro zenon_H185 ].
% 42.98/43.28 apply (zenon_L60_); trivial.
% 42.98/43.28 apply (zenon_L133_); trivial.
% 42.98/43.28 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H20 | zenon_intro zenon_H1a6 ].
% 42.98/43.28 exact (zenon_H21 zenon_H20).
% 42.98/43.28 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H151 | zenon_intro zenon_H1a7 ].
% 42.98/43.28 apply (zenon_L100_); trivial.
% 42.98/43.28 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H196 | zenon_intro zenon_H198 ].
% 42.98/43.28 apply (zenon_L101_); trivial.
% 42.98/43.28 apply (zenon_L102_); trivial.
% 42.98/43.28 (* end of lemma zenon_L334_ *)
% 42.98/43.28 assert (zenon_L335_ : (((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23)))))))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> ((~((op1 (e11) (e10)) = (e11)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> (~((h3 (op1 (e10) (e11))) = (op2 (h3 (e10)) (h3 (e11))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> ((~((op1 (e10) (e12)) = (e10)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (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)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e12) = (e13))) -> (~((e10) = (e12))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))))))))))))))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> False).
% 42.98/43.28 do 0 intro. intros zenon_H1fd zenon_H1fe zenon_H1d8 zenon_H1c8 zenon_H1aa zenon_H1b0 zenon_H1ba zenon_Hf6 zenon_H1bf zenon_H1a8 zenon_H1c3 zenon_H47 zenon_H1a4 zenon_H19f zenon_H19e zenon_H37f zenon_H10c zenon_H22b zenon_H36f zenon_H2c zenon_H2b zenon_H372 zenon_H109 zenon_H1ff zenon_H1b6 zenon_H1d2 zenon_H1be zenon_H1d3 zenon_H73 zenon_H1d5 zenon_H1c2 zenon_H1fc zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H1e4 zenon_H1e0 zenon_H1f4 zenon_H1f3 zenon_H1d9 zenon_H1db zenon_H169 zenon_H11a zenon_H17b zenon_H142 zenon_H152 zenon_Hac zenon_Hb2 zenon_H15c zenon_H126 zenon_H161 zenon_H18c zenon_H57 zenon_He0 zenon_H17f zenon_H66 zenon_H182 zenon_H189 zenon_H174 zenon_H16e zenon_H178 zenon_H105 zenon_Hc1 zenon_H6a zenon_He8 zenon_H5f zenon_H6e zenon_Hf9 zenon_Hca zenon_Hbd zenon_H166 zenon_H16b zenon_H192 zenon_H133 zenon_H42 zenon_H60 zenon_H48 zenon_Hc4.
% 42.98/43.28 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_H7e. zenon_intro zenon_H200.
% 42.98/43.28 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H21 | zenon_intro zenon_H1a5 ].
% 42.98/43.28 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_Haf | zenon_intro zenon_H193 ].
% 42.98/43.28 apply (zenon_L334_); trivial.
% 42.98/43.28 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H17c | zenon_intro zenon_H194 ].
% 42.98/43.28 apply (zenon_L104_); trivial.
% 42.98/43.28 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H18f | zenon_intro zenon_H195 ].
% 42.98/43.28 apply (zenon_L132_); trivial.
% 42.98/43.28 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H119 | zenon_intro zenon_H185 ].
% 42.98/43.28 apply (zenon_L60_); trivial.
% 42.98/43.28 apply (zenon_L133_); trivial.
% 42.98/43.28 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H20 | zenon_intro zenon_H1a6 ].
% 42.98/43.28 apply (zenon_L149_); trivial.
% 42.98/43.28 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H151 | zenon_intro zenon_H1a7 ].
% 42.98/43.28 apply (zenon_L100_); trivial.
% 42.98/43.28 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H196 | zenon_intro zenon_H198 ].
% 42.98/43.28 apply (zenon_L101_); trivial.
% 42.98/43.28 apply (zenon_L102_); trivial.
% 42.98/43.28 (* end of lemma zenon_L335_ *)
% 42.98/43.28 assert (zenon_L336_ : (((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13)))))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> (~((op2 (e20) (e20)) = (e20))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> (~((h3 (op1 (e10) (e11))) = (op2 (h3 (e10)) (h3 (e11))))) -> (~((op2 (e20) (e22)) = (e20))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (op2 (e22) (e23))) = (e23))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> False).
% 42.98/43.28 do 0 intro. intros zenon_Ha7 zenon_H29e zenon_H15 zenon_H36f zenon_H2c zenon_H2b zenon_H372 zenon_H207 zenon_H299 zenon_H253 zenon_H22b zenon_H290 zenon_H297 zenon_H33 zenon_H264.
% 42.98/43.28 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H40. zenon_intro zenon_Ha9.
% 42.98/43.28 apply (zenon_or_s _ _ zenon_H29e); [ zenon_intro zenon_H14 | zenon_intro zenon_H29f ].
% 42.98/43.28 exact (zenon_H15 zenon_H14).
% 42.98/43.28 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H7e | zenon_intro zenon_H2a0 ].
% 42.98/43.28 apply (zenon_L328_); trivial.
% 42.98/43.28 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H205 | zenon_intro zenon_H212 ].
% 42.98/43.28 exact (zenon_H207 zenon_H205).
% 42.98/43.28 apply (zenon_L192_); trivial.
% 42.98/43.28 (* end of lemma zenon_L336_ *)
% 42.98/43.28 assert (zenon_L337_ : (((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13)))))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (e10))) -> (~((h3 (op1 (e10) (e11))) = (op2 (h3 (e10)) (h3 (e11))))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op2 (e20) (e22)) = (e20))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (op2 (e22) (e23))) = (e23))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> False).
% 42.98/43.28 do 0 intro. intros zenon_H112 zenon_H29e zenon_H15 zenon_H105 zenon_H48 zenon_Hf9 zenon_H57 zenon_Hf6 zenon_H109 zenon_Haf zenon_H372 zenon_H2b zenon_H2c zenon_H36f zenon_H21 zenon_H10c zenon_H207 zenon_H299 zenon_H253 zenon_H22b zenon_H290 zenon_H297 zenon_H33 zenon_H264.
% 42.98/43.28 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H114. zenon_intro zenon_H113.
% 42.98/43.28 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_H67. zenon_intro zenon_Hee.
% 42.98/43.28 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_Hef. zenon_intro zenon_H115.
% 42.98/43.28 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_H117. zenon_intro zenon_H116.
% 42.98/43.28 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H118. zenon_intro zenon_H100.
% 42.98/43.28 apply (zenon_or_s _ _ zenon_H29e); [ zenon_intro zenon_H14 | zenon_intro zenon_H29f ].
% 42.98/43.28 exact (zenon_H15 zenon_H14).
% 42.98/43.28 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H7e | zenon_intro zenon_H2a0 ].
% 42.98/43.28 apply (zenon_L331_); trivial.
% 42.98/43.28 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H205 | zenon_intro zenon_H212 ].
% 42.98/43.28 exact (zenon_H207 zenon_H205).
% 42.98/43.28 apply (zenon_L192_); trivial.
% 42.98/43.28 (* end of lemma zenon_L337_ *)
% 42.98/43.28 assert (zenon_L338_ : ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))))))))))))))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e22) (op2 (e22) (e23))) = (e23))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (e20))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (e10))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> (~((h3 (op1 (e10) (e11))) = (op2 (h3 (e10)) (h3 (e11))))) -> (~((op1 (e10) (e12)) = (e10))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op2 (e20) (e20)) = (e20))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> (~((e12) = (e13))) -> (~((op1 (e13) (e10)) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((e11) = (e13))) -> False).
% 42.98/43.28 do 0 intro. intros zenon_H142 zenon_Hac zenon_Hb2 zenon_H15b zenon_H6a zenon_He8 zenon_H6f zenon_H5f zenon_H60 zenon_H6e zenon_H264 zenon_H33 zenon_H297 zenon_H290 zenon_H22b zenon_H253 zenon_H299 zenon_H207 zenon_H10c zenon_H21 zenon_H36f zenon_H2c zenon_H2b zenon_H372 zenon_Haf zenon_H109 zenon_Hf6 zenon_Hf9 zenon_H15 zenon_H29e zenon_H11a zenon_H123 zenon_H105 zenon_H133 zenon_H126 zenon_He0 zenon_H48 zenon_H57 zenon_Hc4 zenon_Hc1.
% 42.98/43.28 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H26 | zenon_intro zenon_H143 ].
% 42.98/43.28 apply (zenon_L8_); trivial.
% 42.98/43.28 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H144 ].
% 42.98/43.28 apply (zenon_L336_); trivial.
% 42.98/43.28 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H145 ].
% 42.98/43.28 apply (zenon_L34_); trivial.
% 42.98/43.28 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H146 ].
% 42.98/43.28 apply (zenon_L36_); trivial.
% 42.98/43.28 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hcd | zenon_intro zenon_H147 ].
% 42.98/43.28 apply (zenon_L330_); trivial.
% 42.98/43.28 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H148 ].
% 42.98/43.28 apply (zenon_L45_); trivial.
% 42.98/43.28 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_Hde | zenon_intro zenon_H149 ].
% 42.98/43.28 apply (zenon_L46_); trivial.
% 42.98/43.28 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_He6 | zenon_intro zenon_H14a ].
% 42.98/43.28 apply (zenon_L48_); trivial.
% 42.98/43.28 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Heb | zenon_intro zenon_H14b ].
% 42.98/43.28 apply (zenon_L51_); trivial.
% 42.98/43.28 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H112 | zenon_intro zenon_H14c ].
% 42.98/43.28 apply (zenon_L337_); trivial.
% 42.98/43.28 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H11d | zenon_intro zenon_H14d ].
% 42.98/43.28 apply (zenon_L61_); trivial.
% 42.98/43.28 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H11f | zenon_intro zenon_H14e ].
% 42.98/43.28 apply (zenon_L62_); trivial.
% 42.98/43.28 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H122 | zenon_intro zenon_H14f ].
% 42.98/43.28 apply (zenon_L63_); trivial.
% 42.98/43.28 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H132 | zenon_intro zenon_H150 ].
% 42.98/43.28 apply (zenon_L66_); trivial.
% 42.98/43.28 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H13b | zenon_intro zenon_H140 ].
% 42.98/43.28 apply (zenon_L67_); trivial.
% 42.98/43.28 apply (zenon_L70_); trivial.
% 42.98/43.28 (* end of lemma zenon_L338_ *)
% 42.98/43.28 assert (zenon_L339_ : ((~((op1 (e11) (e10)) = (e11)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> (~((op2 (e20) (e20)) = (e20))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (e10))) -> (~((h3 (op1 (e10) (e11))) = (op2 (h3 (e10)) (h3 (e11))))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op2 (e20) (e22)) = (e20))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (op2 (e22) (e23))) = (e23))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op1 (e10) (e10)) = (e10))) -> (~((e11) = (e12))) -> (~((e12) = (e13))) -> (~((e10) = (e12))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))))))))))))))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> False).
% 42.98/43.28 do 0 intro. intros zenon_H37f zenon_H1d8 zenon_H1c2 zenon_H1d5 zenon_H73 zenon_H1d3 zenon_H1be zenon_H1d2 zenon_H1b6 zenon_H1c8 zenon_H1aa zenon_H1b0 zenon_H1ba zenon_Hf6 zenon_H1bf zenon_H1a8 zenon_H1c3 zenon_H47 zenon_H1a4 zenon_H19f zenon_H19e zenon_H29e zenon_H15 zenon_H109 zenon_Haf zenon_H372 zenon_H2b zenon_H2c zenon_H36f zenon_H10c zenon_H207 zenon_H299 zenon_H253 zenon_H22b zenon_H290 zenon_H297 zenon_H33 zenon_H264 zenon_H21 zenon_H169 zenon_H11a zenon_H17b zenon_H142 zenon_H152 zenon_Hac zenon_Hb2 zenon_H15c zenon_H126 zenon_H161 zenon_H18c zenon_H57 zenon_He0 zenon_H17f zenon_H66 zenon_H182 zenon_H189 zenon_H174 zenon_H16e zenon_H178 zenon_H105 zenon_Hc1 zenon_H6a zenon_He8 zenon_H5f zenon_H6e zenon_Hf9 zenon_Hca zenon_Hbd zenon_H166 zenon_H16b zenon_H192 zenon_H133 zenon_H42 zenon_H60 zenon_H48 zenon_Hc4.
% 42.98/43.28 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H15b | zenon_intro zenon_H1a5 ].
% 42.98/43.28 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H6f | zenon_intro zenon_H193 ].
% 42.98/43.28 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H123 | zenon_intro zenon_H1a5 ].
% 42.98/43.28 apply (zenon_L338_); trivial.
% 42.98/43.28 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H20 | zenon_intro zenon_H1a6 ].
% 42.98/43.28 exact (zenon_H21 zenon_H20).
% 42.98/43.28 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H151 | zenon_intro zenon_H1a7 ].
% 42.98/43.28 apply (zenon_L100_); trivial.
% 42.98/43.28 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H196 | zenon_intro zenon_H198 ].
% 42.98/43.28 apply (zenon_L101_); trivial.
% 42.98/43.28 apply (zenon_L102_); trivial.
% 42.98/43.28 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H17c | zenon_intro zenon_H194 ].
% 42.98/43.28 apply (zenon_L104_); trivial.
% 42.98/43.28 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H18f | zenon_intro zenon_H195 ].
% 42.98/43.28 apply (zenon_L132_); trivial.
% 42.98/43.28 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H119 | zenon_intro zenon_H185 ].
% 42.98/43.28 apply (zenon_L60_); trivial.
% 42.98/43.28 apply (zenon_L133_); trivial.
% 42.98/43.28 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H20 | zenon_intro zenon_H1a6 ].
% 42.98/43.28 exact (zenon_H21 zenon_H20).
% 42.98/43.28 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H151 | zenon_intro zenon_H1a7 ].
% 42.98/43.28 apply (zenon_L100_); trivial.
% 42.98/43.28 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H196 | zenon_intro zenon_H198 ].
% 42.98/43.28 apply (zenon_L101_); trivial.
% 42.98/43.28 apply (zenon_L102_); trivial.
% 42.98/43.28 (* end of lemma zenon_L339_ *)
% 42.98/43.28 assert (zenon_L340_ : (((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23)))))))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> ((~((op1 (e11) (e10)) = (e11)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> (~((op2 (e20) (e20)) = (e20))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((h3 (op1 (e10) (e11))) = (op2 (h3 (e10)) (h3 (e11))))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op2 (e20) (e22)) = (e20))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (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)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e12) = (e13))) -> (~((e10) = (e12))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))))))))))))))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> False).
% 43.10/43.29 do 0 intro. intros zenon_H2a5 zenon_H1fe zenon_H1d8 zenon_H1c8 zenon_H1aa zenon_H1b0 zenon_H1ba zenon_Hf6 zenon_H1bf zenon_H1a8 zenon_H1c3 zenon_H47 zenon_H1a4 zenon_H19f zenon_H19e zenon_H37f zenon_H29e zenon_H15 zenon_H109 zenon_H372 zenon_H2b zenon_H2c zenon_H36f zenon_H10c zenon_H207 zenon_H299 zenon_H253 zenon_H22b zenon_H290 zenon_H33 zenon_H264 zenon_H1ff zenon_H1b6 zenon_H1d2 zenon_H1be zenon_H1d3 zenon_H73 zenon_H1d5 zenon_H1c2 zenon_H1fc zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H1e4 zenon_H1e0 zenon_H1f4 zenon_H1f3 zenon_H1d9 zenon_H1db zenon_H169 zenon_H11a zenon_H17b zenon_H142 zenon_H152 zenon_Hac zenon_Hb2 zenon_H15c zenon_H126 zenon_H161 zenon_H18c zenon_H57 zenon_He0 zenon_H17f zenon_H66 zenon_H182 zenon_H189 zenon_H174 zenon_H16e zenon_H178 zenon_H105 zenon_Hc1 zenon_H6a zenon_He8 zenon_H5f zenon_H6e zenon_Hf9 zenon_Hca zenon_Hbd zenon_H166 zenon_H16b zenon_H192 zenon_H133 zenon_H42 zenon_H60 zenon_H48 zenon_Hc4.
% 43.10/43.29 apply (zenon_and_s _ _ zenon_H2a5). zenon_intro zenon_H282. zenon_intro zenon_H2a6.
% 43.10/43.29 apply (zenon_and_s _ _ zenon_H2a6). zenon_intro zenon_H23c. zenon_intro zenon_H248.
% 43.10/43.29 apply (zenon_and_s _ _ zenon_H248). zenon_intro zenon_H28a. zenon_intro zenon_H2a7.
% 43.10/43.29 apply (zenon_and_s _ _ zenon_H2a7). zenon_intro zenon_H2a9. zenon_intro zenon_H2a8.
% 43.10/43.29 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H2aa. zenon_intro zenon_H297.
% 43.10/43.29 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H21 | zenon_intro zenon_H1a5 ].
% 43.10/43.29 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_Haf | zenon_intro zenon_H193 ].
% 43.10/43.29 apply (zenon_L339_); trivial.
% 43.10/43.29 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H17c | zenon_intro zenon_H194 ].
% 43.10/43.29 apply (zenon_L104_); trivial.
% 43.10/43.29 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H18f | zenon_intro zenon_H195 ].
% 43.10/43.29 apply (zenon_L132_); trivial.
% 43.10/43.29 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H119 | zenon_intro zenon_H185 ].
% 43.10/43.29 apply (zenon_L60_); trivial.
% 43.10/43.29 apply (zenon_L133_); trivial.
% 43.10/43.29 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H20 | zenon_intro zenon_H1a6 ].
% 43.10/43.29 apply (zenon_L149_); trivial.
% 43.10/43.29 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H151 | zenon_intro zenon_H1a7 ].
% 43.10/43.29 apply (zenon_L100_); trivial.
% 43.10/43.29 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H196 | zenon_intro zenon_H198 ].
% 43.10/43.29 apply (zenon_L101_); trivial.
% 43.10/43.29 apply (zenon_L102_); trivial.
% 43.10/43.29 (* end of lemma zenon_L340_ *)
% 43.10/43.29 assert (zenon_L341_ : ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))))))))))))))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (e21))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))))))))))))))))) -> (~((e10) = (e12))) -> (~((e12) = (e13))) -> (~((e11) = (e12))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (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 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (~((op2 (e22) (e23)) = (op2 (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 (e20) (e22)) = (e20))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> (~((h3 (op1 (e10) (e11))) = (op2 (h3 (e10)) (h3 (e11))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op2 (e20) (e20)) = (e20))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> ((~((op1 (e11) (e10)) = (e11)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (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) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((e22) = (e23))) -> (~((op2 (e23) (e20)) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((e21) = (e23))) -> False).
% 43.10/43.29 do 0 intro. intros zenon_H2c7 zenon_H204 zenon_H20a zenon_H2de zenon_H2e3 zenon_H23e zenon_H23a zenon_H226 zenon_H234 zenon_H242 zenon_Hc4 zenon_H48 zenon_H60 zenon_H42 zenon_H133 zenon_H192 zenon_H16b zenon_H166 zenon_Hbd zenon_Hca zenon_Hf9 zenon_H6e zenon_H5f zenon_He8 zenon_H6a zenon_Hc1 zenon_H105 zenon_H178 zenon_H16e zenon_H174 zenon_H189 zenon_H182 zenon_H66 zenon_H17f zenon_He0 zenon_H57 zenon_H18c zenon_H161 zenon_H126 zenon_H15c zenon_Hb2 zenon_Hac zenon_H152 zenon_H142 zenon_H17b zenon_H11a zenon_H169 zenon_H1db zenon_H1d9 zenon_H1f3 zenon_H1f4 zenon_H1e0 zenon_H1e4 zenon_H1ed zenon_H1ec zenon_H1f5 zenon_H1fc zenon_H1c2 zenon_H1d5 zenon_H73 zenon_H1d3 zenon_H1be zenon_H1d2 zenon_H1b6 zenon_H1ff zenon_H290 zenon_H253 zenon_H299 zenon_H207 zenon_H10c zenon_H36f zenon_H2c zenon_H2b zenon_H372 zenon_H109 zenon_H15 zenon_H29e zenon_H37f zenon_H19e zenon_H19f zenon_H1a4 zenon_H47 zenon_H1c3 zenon_H1a8 zenon_H1bf zenon_Hf6 zenon_H1ba zenon_H1b0 zenon_H1aa zenon_H1c8 zenon_H1d8 zenon_H1fe zenon_H288 zenon_Ha3 zenon_H264 zenon_H279 zenon_H26a zenon_H22a zenon_H33 zenon_H22b zenon_H26e zenon_H276.
% 43.10/43.29 apply (zenon_or_s _ _ zenon_H2c7); [ zenon_intro zenon_H1a | zenon_intro zenon_H2c8 ].
% 43.10/43.29 apply (zenon_L4_); trivial.
% 43.10/43.29 apply (zenon_or_s _ _ zenon_H2c8); [ zenon_intro zenon_H1fd | zenon_intro zenon_H2c9 ].
% 43.10/43.29 apply (zenon_L335_); trivial.
% 43.10/43.29 apply (zenon_or_s _ _ zenon_H2c9); [ zenon_intro zenon_H208 | zenon_intro zenon_H2ca ].
% 43.10/43.29 apply (zenon_L154_); trivial.
% 43.10/43.29 apply (zenon_or_s _ _ zenon_H2ca); [ zenon_intro zenon_H210 | zenon_intro zenon_H2cb ].
% 43.10/43.29 apply (zenon_L156_); trivial.
% 43.10/43.29 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H213 | zenon_intro zenon_H2cc ].
% 43.10/43.29 apply (zenon_L211_); trivial.
% 43.10/43.29 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H21b | zenon_intro zenon_H2cd ].
% 43.10/43.29 apply (zenon_L160_); trivial.
% 43.10/43.29 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H225 | zenon_intro zenon_H2ce ].
% 43.10/43.29 apply (zenon_L161_); trivial.
% 43.10/43.29 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H231 | zenon_intro zenon_H2cf ].
% 43.10/43.29 apply (zenon_L164_); trivial.
% 43.10/43.29 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_H245 | zenon_intro zenon_H2d0 ].
% 43.10/43.29 apply (zenon_L169_); trivial.
% 43.10/43.29 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H2a5 | zenon_intro zenon_H2d1 ].
% 43.10/43.29 apply (zenon_L340_); trivial.
% 43.10/43.29 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H2ae | zenon_intro zenon_H2d2 ].
% 43.10/43.29 apply (zenon_L198_); trivial.
% 43.10/43.29 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H2b0 | zenon_intro zenon_H2d3 ].
% 43.10/43.29 apply (zenon_L199_); trivial.
% 43.10/43.29 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H2b3 | zenon_intro zenon_H2d4 ].
% 43.10/43.29 apply (zenon_L200_); trivial.
% 43.10/43.29 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_H2bc | zenon_intro zenon_H2d5 ].
% 43.10/43.29 apply (zenon_L202_); trivial.
% 43.10/43.29 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2c5 ].
% 43.10/43.29 apply (zenon_L203_); trivial.
% 43.10/43.29 apply (zenon_L204_); trivial.
% 43.10/43.29 (* end of lemma zenon_L341_ *)
% 43.10/43.29 assert (zenon_L342_ : ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> ((~((op1 (e11) (e10)) = (e11)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((h3 (op1 (e10) (e11))) = (op2 (h3 (e10)) (h3 (e11))))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op2 (e20) (e22)) = (e20))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (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)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e12) = (e13))) -> (~((e10) = (e12))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))))))))))))))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op2 (e21) (e22)) = (e21))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((e21) = (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e22) = (e23))) -> (~((e20) = (e22))) -> ((op2 (e20) (e20)) = (e21)) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))))))))))))))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((e21) = (e23))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (~((e20) = (e23))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> False).
% 43.10/43.29 do 0 intro. intros zenon_H337 zenon_H1fe zenon_H1d8 zenon_H1c8 zenon_H1aa zenon_H1b0 zenon_H1ba zenon_Hf6 zenon_H1bf zenon_H1a8 zenon_H1c3 zenon_H47 zenon_H1a4 zenon_H19f zenon_H19e zenon_H37f zenon_H29e zenon_H109 zenon_H372 zenon_H2b zenon_H36f zenon_H10c zenon_H207 zenon_H299 zenon_H253 zenon_H1ff zenon_H1b6 zenon_H1d2 zenon_H1be zenon_H1d3 zenon_H73 zenon_H1d5 zenon_H1c2 zenon_H1fc zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H1e4 zenon_H1e0 zenon_H1f4 zenon_H1f3 zenon_H1d9 zenon_H1db zenon_H169 zenon_H11a zenon_H17b zenon_H142 zenon_H152 zenon_Hac zenon_Hb2 zenon_H15c zenon_H126 zenon_H161 zenon_H18c zenon_H57 zenon_He0 zenon_H17f zenon_H66 zenon_H182 zenon_H189 zenon_H174 zenon_H16e zenon_H178 zenon_H105 zenon_Hc1 zenon_H6a zenon_He8 zenon_H5f zenon_H6e zenon_Hf9 zenon_Hca zenon_Hbd zenon_H166 zenon_H16b zenon_H192 zenon_H133 zenon_H42 zenon_H60 zenon_H48 zenon_Hc4 zenon_H226 zenon_H15 zenon_H2f1 zenon_H22b zenon_H22a zenon_H26a zenon_H279 zenon_H288 zenon_H304 zenon_H309 zenon_H2c7 zenon_H2d7 zenon_H204 zenon_H20a zenon_H23a zenon_H290 zenon_H2e3 zenon_H2eb zenon_H2e6 zenon_H2de zenon_H2ee zenon_H2f3 zenon_H23e zenon_H301 zenon_H2f6 zenon_H2f9 zenon_H2fe zenon_H25d zenon_H234 zenon_H242 zenon_H264 zenon_H276 zenon_H32b zenon_H80 zenon_H2c zenon_H33 zenon_H26e.
% 43.10/43.29 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H338 ].
% 43.10/43.29 apply (zenon_L341_); trivial.
% 43.10/43.29 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ].
% 43.10/43.29 exact (zenon_H15 zenon_H14).
% 43.10/43.29 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ].
% 43.10/43.29 apply (zenon_L246_); trivial.
% 43.10/43.29 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ].
% 43.10/43.29 apply (zenon_L173_); trivial.
% 43.10/43.29 apply (zenon_L252_); trivial.
% 43.10/43.29 (* end of lemma zenon_L342_ *)
% 43.10/43.29 assert (zenon_L343_ : (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))))))))))))))))) -> (~((e10) = (e12))) -> (~((e12) = (e13))) -> (~((e11) = (e12))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (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 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (~((op2 (e20) (e22)) = (e20))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> (~((h3 (op1 (e10) (e11))) = (op2 (h3 (e10)) (h3 (e11))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> ((~((op1 (e11) (e10)) = (e11)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (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) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (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)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (~((e20) = (e23))) -> ((~((op2 (e21) (e21)) = (e21)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((e21) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((e20) = (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))))))))))))))))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e20)) = (e20))) -> ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (e21))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e20)) = (e21)) -> ((~((op2 (e22) (e20)) = (e22)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((e22) = (e23))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((e21) = (e22))) -> False).
% 43.10/43.29 do 0 intro. intros zenon_Hc4 zenon_H48 zenon_H60 zenon_H42 zenon_H133 zenon_H192 zenon_H16b zenon_H166 zenon_Hbd zenon_Hca zenon_Hf9 zenon_H6e zenon_H5f zenon_He8 zenon_H6a zenon_Hc1 zenon_H105 zenon_H178 zenon_H16e zenon_H174 zenon_H189 zenon_H182 zenon_H66 zenon_H17f zenon_He0 zenon_H57 zenon_H18c zenon_H161 zenon_H126 zenon_H15c zenon_Hb2 zenon_Hac zenon_H152 zenon_H142 zenon_H17b zenon_H11a zenon_H169 zenon_H1db zenon_H1d9 zenon_H1f3 zenon_H1f4 zenon_H1e0 zenon_H1e4 zenon_H1ed zenon_H1ec zenon_H1f5 zenon_H1fc zenon_H1c2 zenon_H1d5 zenon_H73 zenon_H1d3 zenon_H1be zenon_H1d2 zenon_H1b6 zenon_H1ff zenon_H207 zenon_H10c zenon_H36f zenon_H2b zenon_H372 zenon_H109 zenon_H37f zenon_H19e zenon_H19f zenon_H1a4 zenon_H47 zenon_H1c3 zenon_H1a8 zenon_H1bf zenon_Hf6 zenon_H1ba zenon_H1b0 zenon_H1aa zenon_H1c8 zenon_H1d8 zenon_H1fe zenon_H299 zenon_H29c zenon_Ha2 zenon_Ha8 zenon_H29e zenon_H2c zenon_H80 zenon_H330 zenon_H32f zenon_H324 zenon_H301 zenon_H2f6 zenon_H2f9 zenon_H25d zenon_H32b zenon_H2f3 zenon_H2ee zenon_H2de zenon_H2e3 zenon_H290 zenon_H242 zenon_H234 zenon_H23a zenon_H23e zenon_H276 zenon_H264 zenon_H321 zenon_H311 zenon_H316 zenon_H31e zenon_H93 zenon_H2fe zenon_H30e zenon_H30b zenon_H2eb zenon_H2e6 zenon_H20a zenon_H204 zenon_H2d7 zenon_H2c7 zenon_H304 zenon_H15 zenon_H337 zenon_H352 zenon_H33d zenon_H24d zenon_H349 zenon_H27d zenon_H342 zenon_H260 zenon_H253 zenon_H33c zenon_H27c zenon_H33e zenon_H85 zenon_H214 zenon_H29d zenon_H345 zenon_H249 zenon_H9c zenon_H256 zenon_H309 zenon_H354 zenon_H288 zenon_H279 zenon_H26a zenon_H22a zenon_H33 zenon_H22b zenon_H26e zenon_H2f1.
% 43.10/43.29 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H226 | zenon_intro zenon_H32c ].
% 43.10/43.29 apply (zenon_L342_); trivial.
% 43.10/43.29 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H25a | zenon_intro zenon_H32d ].
% 43.10/43.29 apply (zenon_L294_); trivial.
% 43.10/43.29 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H328 | zenon_intro zenon_H32e ].
% 43.10/43.29 apply (zenon_L296_); trivial.
% 43.10/43.29 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H2ab | zenon_intro zenon_H31a ].
% 43.10/43.29 apply (zenon_L197_); trivial.
% 43.10/43.29 apply (zenon_L245_); trivial.
% 43.10/43.29 (* end of lemma zenon_L343_ *)
% 43.10/43.29 assert (zenon_L344_ : ((op2 (e21) (e21)) = (e21)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))))))))))))))))) -> (~((e10) = (e12))) -> (~((e12) = (e13))) -> (~((e11) = (e12))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (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 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (~((op2 (e20) (e22)) = (e20))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> (~((h3 (op1 (e10) (e11))) = (op2 (h3 (e10)) (h3 (e11))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> ((~((op1 (e11) (e10)) = (e11)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (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) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (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)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (~((e20) = (e23))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e20)) = (e20))) -> ((~((op2 (e22) (e20)) = (e22)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))))))))))))))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((e21) = (e23))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e21) (e21)) = (e21)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e21) (e20)) = (e21)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((op2 (e21) (e20)) = (e21))) -> (~((e22) = (e23))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((e21) = (e22))) -> False).
% 43.10/43.29 do 0 intro. intros zenon_H219 zenon_Hc4 zenon_H48 zenon_H60 zenon_H42 zenon_H133 zenon_H192 zenon_H16b zenon_H166 zenon_Hbd zenon_Hca zenon_Hf9 zenon_H6e zenon_H5f zenon_He8 zenon_H6a zenon_Hc1 zenon_H105 zenon_H178 zenon_H16e zenon_H174 zenon_H189 zenon_H182 zenon_H66 zenon_H17f zenon_He0 zenon_H57 zenon_H18c zenon_H161 zenon_H126 zenon_H15c zenon_Hb2 zenon_Hac zenon_H152 zenon_H142 zenon_H17b zenon_H11a zenon_H169 zenon_H1db zenon_H1d9 zenon_H1f3 zenon_H1f4 zenon_H1e0 zenon_H1e4 zenon_H1ed zenon_H1ec zenon_H1f5 zenon_H1fc zenon_H1c2 zenon_H1d5 zenon_H73 zenon_H1d3 zenon_H1be zenon_H1d2 zenon_H1b6 zenon_H1ff zenon_H207 zenon_H10c zenon_H36f zenon_H2b zenon_H372 zenon_H109 zenon_H37f zenon_H19e zenon_H19f zenon_H1a4 zenon_H47 zenon_H1c3 zenon_H1a8 zenon_H1bf zenon_Hf6 zenon_H1ba zenon_H1b0 zenon_H1aa zenon_H1c8 zenon_H1d8 zenon_H1fe zenon_H299 zenon_H29c zenon_Ha2 zenon_Ha8 zenon_H29e zenon_H2c zenon_H80 zenon_H304 zenon_H15 zenon_H354 zenon_H256 zenon_H9c zenon_H249 zenon_H345 zenon_H29d zenon_H85 zenon_H33e zenon_H27c zenon_H33c zenon_H253 zenon_H260 zenon_H342 zenon_H24d zenon_H27d zenon_H349 zenon_H33d zenon_H352 zenon_H337 zenon_H2c7 zenon_H2d7 zenon_H204 zenon_H20a zenon_H2e6 zenon_H2eb zenon_H30b zenon_H30e zenon_H2fe zenon_H93 zenon_H31e zenon_H316 zenon_H311 zenon_H321 zenon_H264 zenon_H276 zenon_H23e zenon_H23a zenon_H234 zenon_H242 zenon_H290 zenon_H2e3 zenon_H2de zenon_H2ee zenon_H2f3 zenon_H32b zenon_H25d zenon_H2f9 zenon_H2f6 zenon_H301 zenon_H324 zenon_H32f zenon_H330 zenon_H33b zenon_H214 zenon_H288 zenon_H279 zenon_H26a zenon_H22a zenon_H33 zenon_H22b zenon_H26e zenon_H2f1.
% 43.10/43.29 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H226 | zenon_intro zenon_H32c ].
% 43.10/43.29 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H338 ].
% 43.10/43.29 apply (zenon_L341_); trivial.
% 43.10/43.29 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ].
% 43.10/43.29 exact (zenon_H15 zenon_H14).
% 43.10/43.29 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ].
% 43.10/43.29 apply (zenon_L212_); trivial.
% 43.10/43.29 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ].
% 43.10/43.29 apply (zenon_L173_); trivial.
% 43.10/43.29 apply (zenon_L252_); trivial.
% 43.10/43.29 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H25a | zenon_intro zenon_H32d ].
% 43.10/43.29 apply (zenon_L294_); trivial.
% 43.10/43.29 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H328 | zenon_intro zenon_H32e ].
% 43.10/43.29 apply (zenon_L304_); trivial.
% 43.10/43.29 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H2ab | zenon_intro zenon_H31a ].
% 43.10/43.29 apply (zenon_L197_); trivial.
% 43.10/43.29 apply (zenon_L245_); trivial.
% 43.10/43.29 (* end of lemma zenon_L344_ *)
% 43.10/43.29 assert (zenon_L345_ : ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> ((~((op1 (e11) (e10)) = (e11)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((h3 (op1 (e10) (e11))) = (op2 (h3 (e10)) (h3 (e11))))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op2 (e20) (e22)) = (e20))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (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)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e12) = (e13))) -> (~((e10) = (e12))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))))))))))))))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op2 (e21) (e22)) = (e21))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((e21) = (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e22) = (e23))) -> (~((e20) = (e22))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))))))))))))))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e23) (e23)) = (e21)) -> (~((e21) = (e23))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (~((e20) = (e23))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> False).
% 43.10/43.29 do 0 intro. intros zenon_H337 zenon_H1fe zenon_H1d8 zenon_H1c8 zenon_H1aa zenon_H1b0 zenon_H1ba zenon_Hf6 zenon_H1bf zenon_H1a8 zenon_H1c3 zenon_H47 zenon_H1a4 zenon_H19f zenon_H19e zenon_H37f zenon_H29e zenon_H109 zenon_H372 zenon_H2b zenon_H36f zenon_H10c zenon_H207 zenon_H299 zenon_H253 zenon_H1ff zenon_H1b6 zenon_H1d2 zenon_H1be zenon_H1d3 zenon_H73 zenon_H1d5 zenon_H1c2 zenon_H1fc zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H1e4 zenon_H1e0 zenon_H1f4 zenon_H1f3 zenon_H1d9 zenon_H1db zenon_H169 zenon_H11a zenon_H17b zenon_H142 zenon_H152 zenon_Hac zenon_Hb2 zenon_H15c zenon_H126 zenon_H161 zenon_H18c zenon_H57 zenon_He0 zenon_H17f zenon_H66 zenon_H182 zenon_H189 zenon_H174 zenon_H16e zenon_H178 zenon_H105 zenon_Hc1 zenon_H6a zenon_He8 zenon_H5f zenon_H6e zenon_Hf9 zenon_Hca zenon_Hbd zenon_H166 zenon_H16b zenon_H192 zenon_H133 zenon_H42 zenon_H60 zenon_H48 zenon_Hc4 zenon_H226 zenon_H15 zenon_H2f1 zenon_H22b zenon_H22a zenon_H26a zenon_H279 zenon_H288 zenon_H304 zenon_H2c7 zenon_H2d7 zenon_H204 zenon_H20a zenon_H2e6 zenon_H2eb zenon_H30b zenon_H30e zenon_H2fe zenon_H93 zenon_H31e zenon_H316 zenon_H311 zenon_H321 zenon_H264 zenon_H274 zenon_H276 zenon_H23e zenon_H23a zenon_H234 zenon_H242 zenon_H290 zenon_H2e3 zenon_H2de zenon_H2ee zenon_H2f3 zenon_H32b zenon_H80 zenon_H2c zenon_H33 zenon_H26e.
% 43.10/43.29 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H338 ].
% 43.10/43.29 apply (zenon_or_s _ _ zenon_H2c7); [ zenon_intro zenon_H1a | zenon_intro zenon_H2c8 ].
% 43.10/43.29 apply (zenon_L4_); trivial.
% 43.10/43.29 apply (zenon_or_s _ _ zenon_H2c8); [ zenon_intro zenon_H1fd | zenon_intro zenon_H2c9 ].
% 43.10/43.29 apply (zenon_L335_); trivial.
% 43.10/43.29 apply (zenon_or_s _ _ zenon_H2c9); [ zenon_intro zenon_H208 | zenon_intro zenon_H2ca ].
% 43.10/43.29 apply (zenon_L154_); trivial.
% 43.10/43.29 apply (zenon_or_s _ _ zenon_H2ca); [ zenon_intro zenon_H210 | zenon_intro zenon_H2cb ].
% 43.10/43.29 apply (zenon_L156_); trivial.
% 43.10/43.29 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H213 | zenon_intro zenon_H2cc ].
% 43.10/43.29 apply (zenon_L211_); trivial.
% 43.10/43.29 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H21b | zenon_intro zenon_H2cd ].
% 43.10/43.29 apply (zenon_L160_); trivial.
% 43.10/43.29 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H225 | zenon_intro zenon_H2ce ].
% 43.10/43.29 apply (zenon_L161_); trivial.
% 43.10/43.29 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H231 | zenon_intro zenon_H2cf ].
% 43.10/43.29 apply (zenon_L164_); trivial.
% 43.10/43.29 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_H245 | zenon_intro zenon_H2d0 ].
% 43.10/43.29 apply (zenon_L169_); trivial.
% 43.10/43.29 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H2a5 | zenon_intro zenon_H2d1 ].
% 43.10/43.29 apply (zenon_L340_); trivial.
% 43.10/43.29 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H2ae | zenon_intro zenon_H2d2 ].
% 43.10/43.29 apply (zenon_L198_); trivial.
% 43.10/43.29 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H2b0 | zenon_intro zenon_H2d3 ].
% 43.10/43.29 apply (zenon_L199_); trivial.
% 43.10/43.29 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H2b3 | zenon_intro zenon_H2d4 ].
% 43.10/43.29 apply (zenon_L200_); trivial.
% 43.10/43.29 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_H2bc | zenon_intro zenon_H2d5 ].
% 43.10/43.29 apply (zenon_L240_); trivial.
% 43.10/43.29 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2c5 ].
% 43.10/43.29 apply (zenon_L203_); trivial.
% 43.10/43.29 apply (zenon_L241_); trivial.
% 43.10/43.29 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ].
% 43.10/43.29 exact (zenon_H15 zenon_H14).
% 43.10/43.29 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ].
% 43.10/43.29 apply (zenon_L248_); trivial.
% 43.10/43.29 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ].
% 43.10/43.29 apply (zenon_L173_); trivial.
% 43.10/43.29 apply (zenon_L252_); trivial.
% 43.10/43.29 (* end of lemma zenon_L345_ *)
% 43.10/43.29 assert (zenon_L346_ : ((op2 (e23) (e23)) = (e21)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 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(e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (~((op2 (e20) (e22)) = (e20))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> (~((h3 (op1 (e10) (e11))) = (op2 (h3 (e10)) (h3 (e11))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> ((~((op1 (e11) (e10)) = (e11)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (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) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (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)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (~((e20) = (e23))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e20)) = (e20))) -> ((~((op2 (e22) (e20)) = (e22)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> 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(e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e23)) = 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(e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))))))))))))))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((e21) = (e23))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e21) (e21)) = (e21)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e21) (e20)) = (e21)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((op2 (e21) (e20)) = (e21))) -> (~((e22) = (e23))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((e21) = (e22))) -> False).
% 43.10/43.29 do 0 intro. intros zenon_H274 zenon_Hc4 zenon_H48 zenon_H60 zenon_H42 zenon_H133 zenon_H192 zenon_H16b zenon_H166 zenon_Hbd zenon_Hca zenon_Hf9 zenon_H6e zenon_H5f zenon_He8 zenon_H6a zenon_Hc1 zenon_H105 zenon_H178 zenon_H16e zenon_H174 zenon_H189 zenon_H182 zenon_H66 zenon_H17f zenon_He0 zenon_H57 zenon_H18c zenon_H161 zenon_H126 zenon_H15c zenon_Hb2 zenon_Hac zenon_H152 zenon_H142 zenon_H17b zenon_H11a zenon_H169 zenon_H1db zenon_H1d9 zenon_H1f3 zenon_H1f4 zenon_H1e0 zenon_H1e4 zenon_H1ed zenon_H1ec zenon_H1f5 zenon_H1fc zenon_H1c2 zenon_H1d5 zenon_H73 zenon_H1d3 zenon_H1be zenon_H1d2 zenon_H1b6 zenon_H1ff zenon_H207 zenon_H10c zenon_H36f zenon_H2b zenon_H372 zenon_H109 zenon_H37f zenon_H19e zenon_H19f zenon_H1a4 zenon_H47 zenon_H1c3 zenon_H1a8 zenon_H1bf zenon_Hf6 zenon_H1ba zenon_H1b0 zenon_H1aa zenon_H1c8 zenon_H1d8 zenon_H1fe zenon_H299 zenon_H29c zenon_Ha2 zenon_Ha8 zenon_H29e zenon_H2c zenon_H80 zenon_H304 zenon_H15 zenon_H354 zenon_H256 zenon_H9c zenon_H249 zenon_H345 zenon_H29d zenon_H85 zenon_H33e zenon_H27c zenon_H33c zenon_H253 zenon_H260 zenon_H342 zenon_H24d zenon_H27d zenon_H349 zenon_H33d zenon_H352 zenon_H337 zenon_H2c7 zenon_H2d7 zenon_H204 zenon_H20a zenon_H2e6 zenon_H2eb zenon_H30b zenon_H30e zenon_H2fe zenon_H93 zenon_H31e zenon_H316 zenon_H311 zenon_H321 zenon_H264 zenon_H276 zenon_H23e zenon_H23a zenon_H234 zenon_H242 zenon_H290 zenon_H2e3 zenon_H2de zenon_H2ee zenon_H2f3 zenon_H32b zenon_H25d zenon_H2f9 zenon_H2f6 zenon_H301 zenon_H324 zenon_H32f zenon_H330 zenon_H33b zenon_H214 zenon_H288 zenon_H279 zenon_H26a zenon_H22a zenon_H33 zenon_H22b zenon_H26e zenon_H2f1.
% 43.10/43.29 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H226 | zenon_intro zenon_H32c ].
% 43.10/43.29 apply (zenon_L345_); trivial.
% 43.10/43.29 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H25a | zenon_intro zenon_H32d ].
% 43.10/43.29 apply (zenon_L294_); trivial.
% 43.10/43.29 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H328 | zenon_intro zenon_H32e ].
% 43.10/43.29 apply (zenon_L304_); trivial.
% 43.10/43.29 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H2ab | zenon_intro zenon_H31a ].
% 43.10/43.29 apply (zenon_L197_); trivial.
% 43.10/43.29 apply (zenon_L245_); trivial.
% 43.10/43.29 (* end of lemma zenon_L346_ *)
% 43.10/43.29 assert (zenon_L347_ : (~((h3 (op1 (e10) (e12))) = (op2 (h3 (e10)) (h3 (e12))))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((op1 (e10) (e12)) = (e11)) -> ((op2 (e20) (e22)) = (e21)) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e12)) = (e22)) -> False).
% 43.10/43.29 do 0 intro. intros zenon_H380 zenon_H36f zenon_Hbb zenon_H2dc zenon_H22b zenon_H2b zenon_H2c zenon_H381.
% 43.10/43.29 cut (((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) = ((h3 (op1 (e10) (e12))) = (op2 (h3 (e10)) (h3 (e12))))).
% 43.10/43.29 intro zenon_D_pnotp.
% 43.10/43.29 apply zenon_H380.
% 43.10/43.29 rewrite <- zenon_D_pnotp.
% 43.10/43.29 exact zenon_H36f.
% 43.10/43.29 cut (((op2 (op2 (e22) (e22)) (op2 (e22) (e22))) = (op2 (h3 (e10)) (h3 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H382].
% 43.10/43.29 cut (((h3 (e11)) = (h3 (op1 (e10) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H383].
% 43.10/43.29 congruence.
% 43.10/43.29 elim (classic ((h3 (op1 (e10) (e12))) = (h3 (op1 (e10) (e12))))); [ zenon_intro zenon_H384 | zenon_intro zenon_H385 ].
% 43.10/43.29 cut (((h3 (op1 (e10) (e12))) = (h3 (op1 (e10) (e12)))) = ((h3 (e11)) = (h3 (op1 (e10) (e12))))).
% 43.10/43.29 intro zenon_D_pnotp.
% 43.10/43.29 apply zenon_H383.
% 43.10/43.29 rewrite <- zenon_D_pnotp.
% 43.10/43.29 exact zenon_H384.
% 43.10/43.29 cut (((h3 (op1 (e10) (e12))) = (h3 (op1 (e10) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H385].
% 43.10/43.29 cut (((h3 (op1 (e10) (e12))) = (h3 (e11)))); [idtac | apply NNPP; zenon_intro zenon_H386].
% 43.10/43.29 congruence.
% 43.10/43.29 cut (((op1 (e10) (e12)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H387].
% 43.10/43.29 congruence.
% 43.10/43.29 exact (zenon_H387 zenon_Hbb).
% 43.10/43.29 apply zenon_H385. apply refl_equal.
% 43.10/43.29 apply zenon_H385. apply refl_equal.
% 43.10/43.29 elim (classic ((op2 (h3 (e10)) (h3 (e12))) = (op2 (h3 (e10)) (h3 (e12))))); [ zenon_intro zenon_H388 | zenon_intro zenon_H389 ].
% 43.10/43.29 cut (((op2 (h3 (e10)) (h3 (e12))) = (op2 (h3 (e10)) (h3 (e12)))) = ((op2 (op2 (e22) (e22)) (op2 (e22) (e22))) = (op2 (h3 (e10)) (h3 (e12))))).
% 43.10/43.29 intro zenon_D_pnotp.
% 43.10/43.29 apply zenon_H382.
% 43.10/43.29 rewrite <- zenon_D_pnotp.
% 43.10/43.29 exact zenon_H388.
% 43.10/43.29 cut (((op2 (h3 (e10)) (h3 (e12))) = (op2 (h3 (e10)) (h3 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H389].
% 43.10/43.29 cut (((op2 (h3 (e10)) (h3 (e12))) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22))))); [idtac | apply NNPP; zenon_intro zenon_H38a].
% 43.10/43.29 congruence.
% 43.10/43.29 cut (((op2 (e20) (e22)) = (e21)) = ((op2 (h3 (e10)) (h3 (e12))) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22))))).
% 43.10/43.29 intro zenon_D_pnotp.
% 43.10/43.29 apply zenon_H38a.
% 43.10/43.29 rewrite <- zenon_D_pnotp.
% 43.10/43.29 exact zenon_H2dc.
% 43.10/43.29 cut (((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22))))); [idtac | apply NNPP; zenon_intro zenon_H38b].
% 43.10/43.29 cut (((op2 (e20) (e22)) = (op2 (h3 (e10)) (h3 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H38c].
% 43.10/43.29 congruence.
% 43.10/43.29 elim (classic ((op2 (h3 (e10)) (h3 (e12))) = (op2 (h3 (e10)) (h3 (e12))))); [ zenon_intro zenon_H388 | zenon_intro zenon_H389 ].
% 43.10/43.29 cut (((op2 (h3 (e10)) (h3 (e12))) = (op2 (h3 (e10)) (h3 (e12)))) = ((op2 (e20) (e22)) = (op2 (h3 (e10)) (h3 (e12))))).
% 43.10/43.29 intro zenon_D_pnotp.
% 43.10/43.29 apply zenon_H38c.
% 43.10/43.29 rewrite <- zenon_D_pnotp.
% 43.10/43.29 exact zenon_H388.
% 43.10/43.29 cut (((op2 (h3 (e10)) (h3 (e12))) = (op2 (h3 (e10)) (h3 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H389].
% 43.10/43.29 cut (((op2 (h3 (e10)) (h3 (e12))) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H38d].
% 43.10/43.29 congruence.
% 43.10/43.29 cut (((h3 (e12)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H38e].
% 43.10/43.29 cut (((h3 (e10)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H2a].
% 43.10/43.29 congruence.
% 43.10/43.29 apply (zenon_L9_); trivial.
% 43.10/43.29 exact (zenon_H38e zenon_H381).
% 43.10/43.29 apply zenon_H389. apply refl_equal.
% 43.10/43.29 apply zenon_H389. apply refl_equal.
% 43.10/43.29 exact (zenon_H38b zenon_H22b).
% 43.10/43.29 apply zenon_H389. apply refl_equal.
% 43.10/43.29 apply zenon_H389. apply refl_equal.
% 43.10/43.29 (* end of lemma zenon_L347_ *)
% 43.10/43.29 assert (zenon_L348_ : (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> ((h3 (e12)) = (e22)) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((op2 (e20) (e22)) = (e21)) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((h3 (op1 (e10) (e12))) = (op2 (h3 (e10)) (h3 (e12))))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((e11) = (e13))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> ((e13) = (op1 (e12) (e12))) -> False).
% 43.10/43.29 do 0 intro. intros zenon_Hca zenon_H381 zenon_H2c zenon_H2b zenon_H22b zenon_H2dc zenon_H36f zenon_H380 zenon_H6f zenon_Hc1 zenon_Hc4 zenon_H57 zenon_H48.
% 43.10/43.29 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hcb ].
% 43.10/43.29 apply (zenon_L347_); trivial.
% 43.10/43.29 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H72 | zenon_intro zenon_Hcc ].
% 43.10/43.29 exact (zenon_H6f zenon_H72).
% 43.10/43.29 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc5 ].
% 43.10/43.29 apply (zenon_L39_); trivial.
% 43.10/43.29 apply (zenon_L40_); trivial.
% 43.10/43.29 (* end of lemma zenon_L348_ *)
% 43.10/43.29 assert (zenon_L349_ : ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((h3 (op1 (e10) (e12))) = (op2 (h3 (e10)) (h3 (e12))))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e12)) = (e22)) -> (~((op2 (e21) (e22)) = (e21))) -> (~((e21) = (e23))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((e23) = (op2 (e22) (e22))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (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)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e12) = (e13))) -> (~((e10) = (e12))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))))))))))))))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> False).
% 43.10/43.30 do 0 intro. intros zenon_H1fe zenon_H1d8 zenon_H1c8 zenon_H1aa zenon_H1b0 zenon_H1ba zenon_Hf6 zenon_H1bf zenon_H1a8 zenon_H1c3 zenon_H47 zenon_H1a4 zenon_H19f zenon_H19e zenon_H2e3 zenon_H380 zenon_H36f zenon_H2b zenon_H2c zenon_H381 zenon_H226 zenon_H276 zenon_H26e zenon_H22b zenon_H33 zenon_H1b6 zenon_H1d2 zenon_H1be zenon_H1d3 zenon_H73 zenon_H1d5 zenon_H1c2 zenon_H1fc zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H1e4 zenon_H1e0 zenon_H1f4 zenon_H1f3 zenon_H1d9 zenon_H1db zenon_H169 zenon_H11a zenon_H17b zenon_H142 zenon_H152 zenon_Hac zenon_Hb2 zenon_H15c zenon_H126 zenon_H161 zenon_H18c zenon_H57 zenon_He0 zenon_H17f zenon_H66 zenon_H182 zenon_H189 zenon_H174 zenon_H16e zenon_H178 zenon_H105 zenon_Hc1 zenon_H6a zenon_He8 zenon_H5f zenon_H6e zenon_Hf9 zenon_Hca zenon_Hbd zenon_H166 zenon_H16b zenon_H192 zenon_H133 zenon_H42 zenon_H60 zenon_H48 zenon_Hc4.
% 43.10/43.30 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H21 | zenon_intro zenon_H1a5 ].
% 43.10/43.30 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H6f | zenon_intro zenon_H193 ].
% 43.10/43.30 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H2dc | zenon_intro zenon_H2e4 ].
% 43.10/43.30 apply (zenon_L348_); trivial.
% 43.10/43.30 apply (zenon_or_s _ _ zenon_H2e4); [ zenon_intro zenon_H228 | zenon_intro zenon_H2e5 ].
% 43.10/43.30 exact (zenon_H226 zenon_H228).
% 43.10/43.30 apply (zenon_or_s _ _ zenon_H2e5); [ zenon_intro zenon_H2e1 | zenon_intro zenon_H26f ].
% 43.10/43.30 apply (zenon_L209_); trivial.
% 43.10/43.30 apply (zenon_L181_); trivial.
% 43.10/43.30 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H17c | zenon_intro zenon_H194 ].
% 43.10/43.30 apply (zenon_L104_); trivial.
% 43.10/43.30 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H18f | zenon_intro zenon_H195 ].
% 43.10/43.30 apply (zenon_L132_); trivial.
% 43.10/43.30 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H119 | zenon_intro zenon_H185 ].
% 43.10/43.30 apply (zenon_L60_); trivial.
% 43.10/43.30 apply (zenon_L133_); trivial.
% 43.10/43.30 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H20 | zenon_intro zenon_H1a6 ].
% 43.10/43.30 apply (zenon_L149_); trivial.
% 43.10/43.30 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H151 | zenon_intro zenon_H1a7 ].
% 43.10/43.30 apply (zenon_L100_); trivial.
% 43.10/43.30 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H196 | zenon_intro zenon_H198 ].
% 43.10/43.30 apply (zenon_L101_); trivial.
% 43.10/43.30 apply (zenon_L102_); trivial.
% 43.10/43.30 (* end of lemma zenon_L349_ *)
% 43.10/43.30 assert (zenon_L350_ : (~((h3 (e13)) = (e23))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> ((e23) = (op2 (e22) (e22))) -> False).
% 43.10/43.30 do 0 intro. intros zenon_H38f zenon_H30 zenon_H33.
% 43.10/43.30 cut (((h3 (e13)) = (op2 (e22) (e22))) = ((h3 (e13)) = (e23))).
% 43.10/43.30 intro zenon_D_pnotp.
% 43.10/43.30 apply zenon_H38f.
% 43.10/43.30 rewrite <- zenon_D_pnotp.
% 43.10/43.30 exact zenon_H30.
% 43.10/43.30 cut (((op2 (e22) (e22)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H203].
% 43.10/43.30 cut (((h3 (e13)) = (h3 (e13)))); [idtac | apply NNPP; zenon_intro zenon_H390].
% 43.10/43.30 congruence.
% 43.10/43.30 apply zenon_H390. apply refl_equal.
% 43.10/43.30 apply zenon_H203. apply sym_equal. exact zenon_H33.
% 43.10/43.30 (* end of lemma zenon_L350_ *)
% 43.10/43.30 assert (zenon_L351_ : (~((h3 (op1 (e10) (e13))) = (op2 (h3 (e10)) (h3 (e13))))) -> ((h3 (e12)) = (e22)) -> ((op1 (e10) (e13)) = (e12)) -> ((op2 (e20) (e23)) = (e22)) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> ((e23) = (op2 (e22) (e22))) -> False).
% 43.10/43.30 do 0 intro. intros zenon_H391 zenon_H381 zenon_H183 zenon_H25b zenon_H2b zenon_H2c zenon_H30 zenon_H33.
% 43.10/43.30 cut (((h3 (e12)) = (e22)) = ((h3 (op1 (e10) (e13))) = (op2 (h3 (e10)) (h3 (e13))))).
% 43.10/43.30 intro zenon_D_pnotp.
% 43.10/43.30 apply zenon_H391.
% 43.10/43.30 rewrite <- zenon_D_pnotp.
% 43.10/43.30 exact zenon_H381.
% 43.10/43.30 cut (((e22) = (op2 (h3 (e10)) (h3 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H392].
% 43.10/43.30 cut (((h3 (e12)) = (h3 (op1 (e10) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H393].
% 43.10/43.30 congruence.
% 43.10/43.30 elim (classic ((h3 (op1 (e10) (e13))) = (h3 (op1 (e10) (e13))))); [ zenon_intro zenon_H394 | zenon_intro zenon_H395 ].
% 43.10/43.30 cut (((h3 (op1 (e10) (e13))) = (h3 (op1 (e10) (e13)))) = ((h3 (e12)) = (h3 (op1 (e10) (e13))))).
% 43.10/43.30 intro zenon_D_pnotp.
% 43.10/43.30 apply zenon_H393.
% 43.10/43.30 rewrite <- zenon_D_pnotp.
% 43.10/43.30 exact zenon_H394.
% 43.10/43.30 cut (((h3 (op1 (e10) (e13))) = (h3 (op1 (e10) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H395].
% 43.10/43.30 cut (((h3 (op1 (e10) (e13))) = (h3 (e12)))); [idtac | apply NNPP; zenon_intro zenon_H396].
% 43.10/43.30 congruence.
% 43.10/43.30 cut (((op1 (e10) (e13)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H1f2].
% 43.10/43.30 congruence.
% 43.10/43.30 exact (zenon_H1f2 zenon_H183).
% 43.10/43.30 apply zenon_H395. apply refl_equal.
% 43.10/43.30 apply zenon_H395. apply refl_equal.
% 43.10/43.30 elim (classic ((op2 (h3 (e10)) (h3 (e13))) = (op2 (h3 (e10)) (h3 (e13))))); [ zenon_intro zenon_H397 | zenon_intro zenon_H398 ].
% 43.10/43.30 cut (((op2 (h3 (e10)) (h3 (e13))) = (op2 (h3 (e10)) (h3 (e13)))) = ((e22) = (op2 (h3 (e10)) (h3 (e13))))).
% 43.10/43.30 intro zenon_D_pnotp.
% 43.10/43.30 apply zenon_H392.
% 43.10/43.30 rewrite <- zenon_D_pnotp.
% 43.10/43.30 exact zenon_H397.
% 43.10/43.30 cut (((op2 (h3 (e10)) (h3 (e13))) = (op2 (h3 (e10)) (h3 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H398].
% 43.10/43.30 cut (((op2 (h3 (e10)) (h3 (e13))) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H399].
% 43.10/43.30 congruence.
% 43.10/43.30 cut (((op2 (e20) (e23)) = (e22)) = ((op2 (h3 (e10)) (h3 (e13))) = (e22))).
% 43.10/43.30 intro zenon_D_pnotp.
% 43.10/43.30 apply zenon_H399.
% 43.10/43.30 rewrite <- zenon_D_pnotp.
% 43.10/43.30 exact zenon_H25b.
% 43.10/43.30 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H201].
% 43.10/43.30 cut (((op2 (e20) (e23)) = (op2 (h3 (e10)) (h3 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H39a].
% 43.10/43.30 congruence.
% 43.10/43.30 elim (classic ((op2 (h3 (e10)) (h3 (e13))) = (op2 (h3 (e10)) (h3 (e13))))); [ zenon_intro zenon_H397 | zenon_intro zenon_H398 ].
% 43.10/43.30 cut (((op2 (h3 (e10)) (h3 (e13))) = (op2 (h3 (e10)) (h3 (e13)))) = ((op2 (e20) (e23)) = (op2 (h3 (e10)) (h3 (e13))))).
% 43.10/43.30 intro zenon_D_pnotp.
% 43.10/43.30 apply zenon_H39a.
% 43.10/43.30 rewrite <- zenon_D_pnotp.
% 43.10/43.30 exact zenon_H397.
% 43.10/43.30 cut (((op2 (h3 (e10)) (h3 (e13))) = (op2 (h3 (e10)) (h3 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H398].
% 43.10/43.30 cut (((op2 (h3 (e10)) (h3 (e13))) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H39b].
% 43.10/43.30 congruence.
% 43.10/43.30 cut (((h3 (e13)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H38f].
% 43.10/43.30 cut (((h3 (e10)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H2a].
% 43.10/43.30 congruence.
% 43.10/43.30 apply (zenon_L9_); trivial.
% 43.10/43.30 apply (zenon_L350_); trivial.
% 43.10/43.30 apply zenon_H398. apply refl_equal.
% 43.10/43.30 apply zenon_H398. apply refl_equal.
% 43.10/43.30 apply zenon_H201. apply refl_equal.
% 43.10/43.30 apply zenon_H398. apply refl_equal.
% 43.10/43.30 apply zenon_H398. apply refl_equal.
% 43.10/43.30 (* end of lemma zenon_L351_ *)
% 43.10/43.30 assert (zenon_L352_ : (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> ((op1 (e12) (e13)) = (e10)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e23) = (op2 (e22) (e22))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((op2 (e20) (e23)) = (e22)) -> ((h3 (e12)) = (e22)) -> (~((h3 (op1 (e10) (e13))) = (op2 (h3 (e10)) (h3 (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e11) (e13)) = (e13)) -> False).
% 43.10/43.30 do 0 intro. intros zenon_H1bf zenon_Hf7 zenon_Hf6 zenon_H48 zenon_H57 zenon_H1ba zenon_H33 zenon_H30 zenon_H2c zenon_H2b zenon_H25b zenon_H381 zenon_H391 zenon_H73 zenon_H75.
% 43.10/43.30 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_Hba | zenon_intro zenon_H1c0 ].
% 43.10/43.30 apply (zenon_L53_); trivial.
% 43.10/43.30 apply (zenon_or_s _ _ zenon_H1c0); [ zenon_intro zenon_H1bb | zenon_intro zenon_H1c1 ].
% 43.10/43.30 apply (zenon_L113_); trivial.
% 43.10/43.30 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H183 | zenon_intro zenon_H74 ].
% 43.10/43.30 apply (zenon_L351_); trivial.
% 43.10/43.30 apply (zenon_L22_); trivial.
% 43.10/43.30 (* end of lemma zenon_L352_ *)
% 43.10/43.30 assert (zenon_L353_ : (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e10) (e11)) = (e10)) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((e10) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (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))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((h3 (op1 (e10) (e13))) = (op2 (h3 (e10)) (h3 (e13))))) -> ((h3 (e12)) = (e22)) -> ((op2 (e20) (e23)) = (e22)) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> ((e23) = (op2 (e22) (e22))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((e11) = (e13))) -> False).
% 43.10/43.30 do 0 intro. intros zenon_H1c3 zenon_H1a8 zenon_H40 zenon_H1b6 zenon_H42 zenon_H39c zenon_H6e zenon_H60 zenon_H5f zenon_H6f zenon_H66 zenon_H6a zenon_H56 zenon_H4f zenon_H50 zenon_H78 zenon_H73 zenon_H391 zenon_H381 zenon_H25b zenon_H2b zenon_H2c zenon_H30 zenon_H33 zenon_H1ba zenon_Hf6 zenon_H1bf zenon_H105 zenon_H133 zenon_H126 zenon_He0 zenon_H48 zenon_H57 zenon_Hc4 zenon_Hc1.
% 43.10/43.30 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1c6 ].
% 43.10/43.30 apply (zenon_L105_); trivial.
% 43.10/43.30 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c7 ].
% 43.10/43.30 apply (zenon_L112_); trivial.
% 43.10/43.30 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H196 | zenon_intro zenon_Hf7 ].
% 43.10/43.30 apply (zenon_L101_); trivial.
% 43.10/43.30 apply (zenon_or_s _ _ zenon_H39c); [ zenon_intro zenon_H74 | zenon_intro zenon_H39d ].
% 43.10/43.30 apply (zenon_L23_); trivial.
% 43.10/43.30 apply (zenon_or_s _ _ zenon_H39d); [ zenon_intro zenon_H75 | zenon_intro zenon_H39e ].
% 43.10/43.30 apply (zenon_L352_); trivial.
% 43.10/43.30 apply (zenon_or_s _ _ zenon_H39e); [ zenon_intro zenon_H104 | zenon_intro zenon_H13e ].
% 43.10/43.30 apply (zenon_L56_); trivial.
% 43.10/43.30 apply (zenon_L69_); trivial.
% 43.10/43.30 (* end of lemma zenon_L353_ *)
% 43.10/43.30 assert (zenon_L354_ : (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> ((op2 (e22) (e23)) = (e20)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((e11) = (e13))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e23) = (op2 (e22) (e22))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e12)) = (e22)) -> (~((h3 (op1 (e10) (e13))) = (op2 (h3 (e10)) (h3 (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> ((op1 (e11) (e10)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e10) (e11)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e21) (e23)) = (e23)) -> False).
% 43.10/43.30 do 0 intro. intros zenon_H260 zenon_H254 zenon_H253 zenon_H22b zenon_H256 zenon_Hc1 zenon_Hc4 zenon_H57 zenon_H48 zenon_He0 zenon_H126 zenon_H133 zenon_H105 zenon_H1bf zenon_Hf6 zenon_H1ba zenon_H33 zenon_H30 zenon_H2c zenon_H2b zenon_H381 zenon_H391 zenon_H73 zenon_H78 zenon_H50 zenon_H4f zenon_H56 zenon_H6a zenon_H66 zenon_H6f zenon_H5f zenon_H60 zenon_H6e zenon_H39c zenon_H42 zenon_H1b6 zenon_H40 zenon_H1a8 zenon_H1c3 zenon_H25d zenon_H25e.
% 43.10/43.30 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H212 | zenon_intro zenon_H261 ].
% 43.10/43.30 apply (zenon_L174_); trivial.
% 43.10/43.30 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H257 | zenon_intro zenon_H262 ].
% 43.10/43.30 apply (zenon_L175_); trivial.
% 43.10/43.30 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H25b | zenon_intro zenon_H92 ].
% 43.10/43.30 apply (zenon_L353_); trivial.
% 43.10/43.30 apply (zenon_L177_); trivial.
% 43.10/43.30 (* end of lemma zenon_L354_ *)
% 43.10/43.30 assert (zenon_L355_ : (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e20) (e21)) = (e20)) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (e23))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (e21) (e20)) = (e20)) -> (~((e20) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e10) (e11)) = (e10)) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((e10) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (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))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((h3 (op1 (e10) (e13))) = (op2 (h3 (e10)) (h3 (e13))))) -> ((h3 (e12)) = (e22)) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((e11) = (e13))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((e21) = (e23))) -> False).
% 43.10/43.30 do 0 intro. intros zenon_H27d zenon_H249 zenon_H7e zenon_H24d zenon_H27c zenon_Ha3 zenon_H9c zenon_H99 zenon_H80 zenon_H93 zenon_Ha2 zenon_H25d zenon_H1c3 zenon_H1a8 zenon_H40 zenon_H1b6 zenon_H42 zenon_H39c zenon_H6e zenon_H60 zenon_H5f zenon_H6f zenon_H66 zenon_H6a zenon_H56 zenon_H4f zenon_H50 zenon_H78 zenon_H73 zenon_H391 zenon_H381 zenon_H2b zenon_H2c zenon_H30 zenon_H1ba zenon_Hf6 zenon_H1bf zenon_H105 zenon_H133 zenon_H126 zenon_He0 zenon_H48 zenon_H57 zenon_Hc4 zenon_Hc1 zenon_H256 zenon_H253 zenon_H260 zenon_H264 zenon_H279 zenon_H26a zenon_H22a zenon_H33 zenon_H22b zenon_H26e zenon_H276.
% 43.10/43.30 apply (zenon_or_s _ _ zenon_H27d); [ zenon_intro zenon_H24a | zenon_intro zenon_H27e ].
% 43.10/43.30 apply (zenon_L170_); trivial.
% 43.10/43.30 apply (zenon_or_s _ _ zenon_H27e); [ zenon_intro zenon_H24e | zenon_intro zenon_H27f ].
% 43.10/43.30 apply (zenon_L171_); trivial.
% 43.10/43.30 apply (zenon_or_s _ _ zenon_H27f); [ zenon_intro zenon_H251 | zenon_intro zenon_H254 ].
% 43.10/43.30 apply (zenon_L173_); trivial.
% 43.10/43.30 apply (zenon_or_s _ _ zenon_H27c); [ zenon_intro zenon_H92 | zenon_intro zenon_H280 ].
% 43.10/43.30 apply (zenon_L31_); trivial.
% 43.10/43.30 apply (zenon_or_s _ _ zenon_H280); [ zenon_intro zenon_H25e | zenon_intro zenon_H281 ].
% 43.10/43.30 apply (zenon_L354_); trivial.
% 43.10/43.30 apply (zenon_or_s _ _ zenon_H281); [ zenon_intro zenon_H263 | zenon_intro zenon_H275 ].
% 43.10/43.30 apply (zenon_L179_); trivial.
% 43.10/43.30 apply (zenon_L183_); trivial.
% 43.10/43.30 (* end of lemma zenon_L355_ *)
% 43.10/43.30 assert (zenon_L356_ : (((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13)))))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e20) (e21)) = (e20)) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (e23))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (e21) (e20)) = (e20)) -> (~((e20) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((e10) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((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) (e13)) = (op1 (e11) (e13)))) -> (~((h3 (op1 (e10) (e13))) = (op2 (h3 (e10)) (h3 (e13))))) -> ((h3 (e12)) = (e22)) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((e11) = (e13))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((e21) = (e23))) -> False).
% 43.10/43.30 do 0 intro. intros zenon_Ha7 zenon_H27d zenon_H249 zenon_H7e zenon_H24d zenon_H27c zenon_Ha3 zenon_H9c zenon_H99 zenon_H80 zenon_H93 zenon_Ha2 zenon_H25d zenon_H1c3 zenon_H1a8 zenon_H1b6 zenon_H42 zenon_H39c zenon_H6e zenon_H60 zenon_H5f zenon_H6f zenon_H66 zenon_H6a zenon_H56 zenon_H4f zenon_H78 zenon_H73 zenon_H391 zenon_H381 zenon_H2b zenon_H2c zenon_H30 zenon_H1ba zenon_Hf6 zenon_H1bf zenon_H105 zenon_H133 zenon_H126 zenon_He0 zenon_H48 zenon_H57 zenon_Hc4 zenon_Hc1 zenon_H256 zenon_H253 zenon_H260 zenon_H264 zenon_H279 zenon_H26a zenon_H22a zenon_H33 zenon_H22b zenon_H26e zenon_H276.
% 43.10/43.30 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H40. zenon_intro zenon_Ha9.
% 43.10/43.30 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_H50. zenon_intro zenon_H28.
% 43.10/43.30 apply (zenon_L355_); trivial.
% 43.10/43.30 (* end of lemma zenon_L356_ *)
% 43.10/43.30 assert (zenon_L357_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (op1 (e12) (e10))) = (e10))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((e10) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((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) (e13)) = (op1 (e11) (e13)))) -> (~((h3 (op1 (e10) (e13))) = (op2 (h3 (e10)) (h3 (e13))))) -> ((h3 (e12)) = (e22)) -> ((op2 (e20) (e23)) = (e22)) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> ((e23) = (op2 (e22) (e22))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((e11) = (e13))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e12)) = (e10))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (op1 (e12) (e13))) = (e13))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> False).
% 43.10/43.30 do 0 intro. intros zenon_H10c zenon_H60 zenon_Hb2 zenon_Hef zenon_H1c3 zenon_H1a8 zenon_H1b6 zenon_H42 zenon_H39c zenon_H6e zenon_H5f zenon_H6f zenon_H66 zenon_H6a zenon_H56 zenon_H4f zenon_H78 zenon_H73 zenon_H391 zenon_H381 zenon_H25b zenon_H2b zenon_H2c zenon_H30 zenon_H33 zenon_H1ba zenon_H1bf zenon_H133 zenon_H126 zenon_He0 zenon_Hc4 zenon_Hc1 zenon_H21 zenon_H10d zenon_Haf zenon_H109 zenon_Hf6 zenon_H57 zenon_Hf9 zenon_H100 zenon_H48 zenon_H105.
% 43.10/43.30 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_H20 | zenon_intro zenon_H10e ].
% 43.10/43.30 exact (zenon_H21 zenon_H20).
% 43.10/43.30 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H40 | zenon_intro zenon_H10f ].
% 43.10/43.30 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H20 | zenon_intro zenon_H110 ].
% 43.10/43.30 exact (zenon_H21 zenon_H20).
% 43.10/43.30 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_H50 | zenon_intro zenon_H111 ].
% 43.10/43.30 apply (zenon_L353_); trivial.
% 43.10/43.30 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hf0 | zenon_intro zenon_Hb3 ].
% 43.10/43.30 apply (zenon_L52_); trivial.
% 43.10/43.30 apply (zenon_L35_); trivial.
% 43.10/43.30 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_Had | zenon_intro zenon_Hba ].
% 43.10/43.30 exact (zenon_Haf zenon_Had).
% 43.10/43.30 apply (zenon_L57_); trivial.
% 43.10/43.30 (* end of lemma zenon_L357_ *)
% 43.10/43.30 assert (zenon_L358_ : (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> ((op2 (e22) (e23)) = (e20)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e12) (op1 (e12) (e13))) = (e13))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (e10))) -> (~((e11) = (e13))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e23) = (op2 (e22) (e22))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e12)) = (e22)) -> (~((h3 (op1 (e10) (e13))) = (op2 (h3 (e10)) (h3 (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (op1 (e12) (e10))) = (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e21) (e23)) = (e23)) -> False).
% 43.10/43.30 do 0 intro. intros zenon_H260 zenon_H254 zenon_H253 zenon_H22b zenon_H256 zenon_H105 zenon_H48 zenon_H100 zenon_Hf9 zenon_H57 zenon_Hf6 zenon_H109 zenon_Haf zenon_H10d zenon_H21 zenon_Hc1 zenon_Hc4 zenon_He0 zenon_H126 zenon_H133 zenon_H1bf zenon_H1ba zenon_H33 zenon_H30 zenon_H2c zenon_H2b zenon_H381 zenon_H391 zenon_H73 zenon_H78 zenon_H4f zenon_H56 zenon_H6a zenon_H66 zenon_H6f zenon_H5f zenon_H6e zenon_H39c zenon_H42 zenon_H1b6 zenon_H1a8 zenon_H1c3 zenon_Hef zenon_Hb2 zenon_H60 zenon_H10c zenon_H25d zenon_H25e.
% 43.10/43.30 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H212 | zenon_intro zenon_H261 ].
% 43.10/43.30 apply (zenon_L174_); trivial.
% 43.10/43.30 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H257 | zenon_intro zenon_H262 ].
% 43.10/43.30 apply (zenon_L175_); trivial.
% 43.10/43.30 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H25b | zenon_intro zenon_H92 ].
% 43.10/43.30 apply (zenon_L357_); trivial.
% 43.10/43.30 apply (zenon_L177_); trivial.
% 43.10/43.30 (* end of lemma zenon_L358_ *)
% 43.10/43.30 assert (zenon_L359_ : ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))))))))))))))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (e11))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((e21) = (e23))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e12)) = (e22)) -> (~((h3 (op1 (e10) (e13))) = (op2 (h3 (e10)) (h3 (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((e20) = (e23))) -> ((op2 (e21) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (e23))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e20) (e21)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((e12) = (e13))) -> (~((op1 (e13) (e10)) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((e11) = (e13))) -> False).
% 43.10/43.30 do 0 intro. intros zenon_H142 zenon_Hac zenon_H15b zenon_He8 zenon_H276 zenon_H26e zenon_H22b zenon_H33 zenon_H22a zenon_H26a zenon_H279 zenon_H264 zenon_H260 zenon_H253 zenon_H256 zenon_Hf9 zenon_Hf6 zenon_H109 zenon_Haf zenon_H10d zenon_H21 zenon_H1bf zenon_H1ba zenon_H30 zenon_H2c zenon_H2b zenon_H381 zenon_H391 zenon_H73 zenon_H78 zenon_H4f zenon_H56 zenon_H6a zenon_H66 zenon_H6f zenon_H5f zenon_H6e zenon_H39c zenon_H42 zenon_H1b6 zenon_H1a8 zenon_H1c3 zenon_Hb2 zenon_H60 zenon_H10c zenon_H25d zenon_Ha2 zenon_H93 zenon_H80 zenon_H99 zenon_H9c zenon_Ha3 zenon_H27c zenon_H24d zenon_H7e zenon_H249 zenon_H27d zenon_H11a zenon_H123 zenon_H105 zenon_H133 zenon_H126 zenon_He0 zenon_H48 zenon_H57 zenon_Hc4 zenon_Hc1.
% 43.10/43.30 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H26 | zenon_intro zenon_H143 ].
% 43.10/43.30 apply (zenon_L8_); trivial.
% 43.10/43.30 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H144 ].
% 43.10/43.30 apply (zenon_L356_); trivial.
% 43.10/43.30 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H145 ].
% 43.10/43.30 apply (zenon_L34_); trivial.
% 43.10/43.30 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H146 ].
% 43.10/43.30 apply (zenon_L36_); trivial.
% 43.10/43.30 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hcd | zenon_intro zenon_H147 ].
% 43.10/43.30 apply (zenon_L330_); trivial.
% 43.10/43.30 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H148 ].
% 43.10/43.30 apply (zenon_L45_); trivial.
% 43.10/43.30 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_Hde | zenon_intro zenon_H149 ].
% 43.10/43.30 apply (zenon_L46_); trivial.
% 43.10/43.30 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_He6 | zenon_intro zenon_H14a ].
% 43.10/43.30 apply (zenon_L48_); trivial.
% 43.10/43.30 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Heb | zenon_intro zenon_H14b ].
% 43.10/43.30 apply (zenon_L51_); trivial.
% 43.10/43.30 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H112 | zenon_intro zenon_H14c ].
% 43.10/43.30 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H114. zenon_intro zenon_H113.
% 43.10/43.30 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_H67. zenon_intro zenon_Hee.
% 43.10/43.30 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_Hef. zenon_intro zenon_H115.
% 43.10/43.30 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_H117. zenon_intro zenon_H116.
% 43.10/43.30 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H118. zenon_intro zenon_H100.
% 43.10/43.30 apply (zenon_or_s _ _ zenon_H27d); [ zenon_intro zenon_H24a | zenon_intro zenon_H27e ].
% 43.10/43.30 apply (zenon_L170_); trivial.
% 43.10/43.30 apply (zenon_or_s _ _ zenon_H27e); [ zenon_intro zenon_H24e | zenon_intro zenon_H27f ].
% 43.10/43.30 apply (zenon_L171_); trivial.
% 43.10/43.30 apply (zenon_or_s _ _ zenon_H27f); [ zenon_intro zenon_H251 | zenon_intro zenon_H254 ].
% 43.10/43.30 apply (zenon_L173_); trivial.
% 43.10/43.30 apply (zenon_or_s _ _ zenon_H27c); [ zenon_intro zenon_H92 | zenon_intro zenon_H280 ].
% 43.10/43.30 apply (zenon_L31_); trivial.
% 43.10/43.30 apply (zenon_or_s _ _ zenon_H280); [ zenon_intro zenon_H25e | zenon_intro zenon_H281 ].
% 43.10/43.30 apply (zenon_L358_); trivial.
% 43.10/43.30 apply (zenon_or_s _ _ zenon_H281); [ zenon_intro zenon_H263 | zenon_intro zenon_H275 ].
% 43.10/43.30 apply (zenon_L179_); trivial.
% 43.10/43.30 apply (zenon_L183_); trivial.
% 43.10/43.30 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H11d | zenon_intro zenon_H14d ].
% 43.10/43.30 apply (zenon_L61_); trivial.
% 43.10/43.30 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H11f | zenon_intro zenon_H14e ].
% 43.10/43.30 apply (zenon_L62_); trivial.
% 43.10/43.30 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H122 | zenon_intro zenon_H14f ].
% 43.10/43.30 apply (zenon_L63_); trivial.
% 43.10/43.30 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H132 | zenon_intro zenon_H150 ].
% 43.10/43.30 apply (zenon_L66_); trivial.
% 43.10/43.30 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H13b | zenon_intro zenon_H140 ].
% 43.10/43.30 apply (zenon_L67_); trivial.
% 43.10/43.30 apply (zenon_L70_); trivial.
% 43.10/43.30 (* end of lemma zenon_L359_ *)
% 43.10/43.30 assert (zenon_L360_ : ((~((op1 (e11) (e10)) = (e11)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e20) (e21)) = (e20)) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (e23))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (e21) (e20)) = (e20)) -> (~((e20) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((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))))) -> (~((h3 (op1 (e10) (e13))) = (op2 (h3 (e10)) (h3 (e13))))) -> ((h3 (e12)) = (e22)) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e12)) = (e10))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((e21) = (e23))) -> (~((op1 (e10) (e10)) = (e10))) -> (~((e11) = (e12))) -> (~((e12) = (e13))) -> (~((e10) = (e12))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))))))))))))))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> False).
% 43.10/43.30 do 0 intro. intros zenon_H37f zenon_H1d8 zenon_H1c2 zenon_H1d5 zenon_H73 zenon_H1d3 zenon_H1be zenon_H1d2 zenon_H1b6 zenon_H1c8 zenon_H1aa zenon_H1b0 zenon_H1ba zenon_Hf6 zenon_H1bf zenon_H1a8 zenon_H1c3 zenon_H47 zenon_H1a4 zenon_H19f zenon_H19e zenon_H27d zenon_H249 zenon_H7e zenon_H24d zenon_H27c zenon_Ha3 zenon_H9c zenon_H99 zenon_H80 zenon_H93 zenon_Ha2 zenon_H25d zenon_H10c zenon_H39c zenon_H56 zenon_H4f zenon_H78 zenon_H391 zenon_H381 zenon_H2b zenon_H2c zenon_H30 zenon_H10d zenon_Haf zenon_H109 zenon_H256 zenon_H253 zenon_H260 zenon_H264 zenon_H279 zenon_H26a zenon_H22a zenon_H33 zenon_H22b zenon_H26e zenon_H276 zenon_H21 zenon_H169 zenon_H11a zenon_H17b zenon_H142 zenon_H152 zenon_Hac zenon_Hb2 zenon_H15c zenon_H126 zenon_H161 zenon_H18c zenon_H57 zenon_He0 zenon_H17f zenon_H66 zenon_H182 zenon_H189 zenon_H174 zenon_H16e zenon_H178 zenon_H105 zenon_Hc1 zenon_H6a zenon_He8 zenon_H5f zenon_H6e zenon_Hf9 zenon_Hca zenon_Hbd zenon_H166 zenon_H16b zenon_H192 zenon_H133 zenon_H42 zenon_H60 zenon_H48 zenon_Hc4.
% 43.10/43.30 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H15b | zenon_intro zenon_H1a5 ].
% 43.10/43.30 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H6f | zenon_intro zenon_H193 ].
% 43.10/43.30 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H123 | zenon_intro zenon_H1a5 ].
% 43.10/43.30 apply (zenon_L359_); trivial.
% 43.10/43.30 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H20 | zenon_intro zenon_H1a6 ].
% 43.10/43.30 exact (zenon_H21 zenon_H20).
% 43.10/43.30 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H151 | zenon_intro zenon_H1a7 ].
% 43.10/43.30 apply (zenon_L100_); trivial.
% 43.10/43.30 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H196 | zenon_intro zenon_H198 ].
% 43.10/43.30 apply (zenon_L101_); trivial.
% 43.10/43.30 apply (zenon_L102_); trivial.
% 43.10/43.30 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H17c | zenon_intro zenon_H194 ].
% 43.10/43.30 apply (zenon_L104_); trivial.
% 43.10/43.30 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H18f | zenon_intro zenon_H195 ].
% 43.10/43.30 apply (zenon_L132_); trivial.
% 43.10/43.30 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H119 | zenon_intro zenon_H185 ].
% 43.10/43.30 apply (zenon_L60_); trivial.
% 43.10/43.30 apply (zenon_L133_); trivial.
% 43.10/43.30 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H20 | zenon_intro zenon_H1a6 ].
% 43.10/43.30 exact (zenon_H21 zenon_H20).
% 43.10/43.30 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H151 | zenon_intro zenon_H1a7 ].
% 43.10/43.30 apply (zenon_L100_); trivial.
% 43.10/43.30 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H196 | zenon_intro zenon_H198 ].
% 43.10/43.30 apply (zenon_L101_); trivial.
% 43.10/43.30 apply (zenon_L102_); trivial.
% 43.10/43.30 (* end of lemma zenon_L360_ *)
% 43.10/43.30 assert (zenon_L361_ : (((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23)))))))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> ((~((op1 (e11) (e10)) = (e11)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (e23))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((e20) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((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))))) -> (~((h3 (op1 (e10) (e13))) = (op2 (h3 (e10)) (h3 (e13))))) -> ((h3 (e12)) = (e22)) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((e21) = (e23))) -> ((~((op1 (e10) (e12)) = (e10)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (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)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e12) = (e13))) -> (~((e10) = (e12))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))))))))))))))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> False).
% 43.10/43.30 do 0 intro. intros zenon_H1fd zenon_H1fe zenon_H1d8 zenon_H1c8 zenon_H1aa zenon_H1b0 zenon_H1ba zenon_Hf6 zenon_H1bf zenon_H1a8 zenon_H1c3 zenon_H47 zenon_H1a4 zenon_H19f zenon_H19e zenon_H37f zenon_H27d zenon_H249 zenon_H24d zenon_H27c zenon_Ha3 zenon_H9c zenon_H80 zenon_H93 zenon_Ha2 zenon_H25d zenon_H10c zenon_H39c zenon_H56 zenon_H4f zenon_H78 zenon_H391 zenon_H381 zenon_H2b zenon_H2c zenon_H30 zenon_H10d zenon_H109 zenon_H256 zenon_H253 zenon_H260 zenon_H264 zenon_H279 zenon_H26a zenon_H22a zenon_H33 zenon_H22b zenon_H26e zenon_H276 zenon_H1ff zenon_H1b6 zenon_H1d2 zenon_H1be zenon_H1d3 zenon_H73 zenon_H1d5 zenon_H1c2 zenon_H1fc zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H1e4 zenon_H1e0 zenon_H1f4 zenon_H1f3 zenon_H1d9 zenon_H1db zenon_H169 zenon_H11a zenon_H17b zenon_H142 zenon_H152 zenon_Hac zenon_Hb2 zenon_H15c zenon_H126 zenon_H161 zenon_H18c zenon_H57 zenon_He0 zenon_H17f zenon_H66 zenon_H182 zenon_H189 zenon_H174 zenon_H16e zenon_H178 zenon_H105 zenon_Hc1 zenon_H6a zenon_He8 zenon_H5f zenon_H6e zenon_Hf9 zenon_Hca zenon_Hbd zenon_H166 zenon_H16b zenon_H192 zenon_H133 zenon_H42 zenon_H60 zenon_H48 zenon_Hc4.
% 43.10/43.30 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_H7e. zenon_intro zenon_H200.
% 43.10/43.30 apply (zenon_and_s _ _ zenon_H200). zenon_intro zenon_H99. zenon_intro zenon_H1c.
% 43.10/43.30 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H21 | zenon_intro zenon_H1a5 ].
% 43.10/43.30 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_Haf | zenon_intro zenon_H193 ].
% 43.10/43.30 apply (zenon_L360_); trivial.
% 43.10/43.30 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H17c | zenon_intro zenon_H194 ].
% 43.10/43.30 apply (zenon_L104_); trivial.
% 43.10/43.30 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H18f | zenon_intro zenon_H195 ].
% 43.10/43.30 apply (zenon_L132_); trivial.
% 43.10/43.30 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H119 | zenon_intro zenon_H185 ].
% 43.10/43.30 apply (zenon_L60_); trivial.
% 43.10/43.30 apply (zenon_L133_); trivial.
% 43.10/43.30 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H20 | zenon_intro zenon_H1a6 ].
% 43.10/43.30 apply (zenon_L149_); trivial.
% 43.10/43.30 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H151 | zenon_intro zenon_H1a7 ].
% 43.10/43.30 apply (zenon_L100_); trivial.
% 43.10/43.30 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H196 | zenon_intro zenon_H198 ].
% 43.10/43.30 apply (zenon_L101_); trivial.
% 43.10/43.30 apply (zenon_L102_); trivial.
% 43.10/43.30 (* end of lemma zenon_L361_ *)
% 43.10/43.30 assert (zenon_L362_ : (((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13)))))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (op2 (e22) (e20))) = (e20))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e23) (e20)) = (e23))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((e20) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((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 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((e21) = (e23))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e22) (e21)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (e21))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((e10) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((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) (e13)) = (op1 (e11) (e13)))) -> (~((h3 (op1 (e10) (e13))) = (op2 (h3 (e10)) (h3 (e13))))) -> ((h3 (e12)) = (e22)) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((e11) = (e13))) -> (~((op2 (e20) (e20)) = (e20))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e20) (e22)) = (e20))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (op2 (e22) (e23))) = (e23))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> False).
% 43.14/43.31 do 0 intro. intros zenon_Ha7 zenon_H29e zenon_H2c zenon_H20a zenon_H28a zenon_H29d zenon_Ha3 zenon_H9c zenon_H80 zenon_H93 zenon_Ha2 zenon_H85 zenon_H27d zenon_H249 zenon_H27c zenon_H25d zenon_H256 zenon_H260 zenon_H279 zenon_H26a zenon_H22a zenon_H26e zenon_H276 zenon_Ha8 zenon_H24d zenon_H282 zenon_H23e zenon_H23a zenon_H226 zenon_H234 zenon_H242 zenon_H1c3 zenon_H1a8 zenon_H1b6 zenon_H42 zenon_H39c zenon_H6e zenon_H60 zenon_H5f zenon_H6f zenon_H66 zenon_H6a zenon_H56 zenon_H4f zenon_H78 zenon_H73 zenon_H391 zenon_H381 zenon_H2b zenon_H30 zenon_H1ba zenon_Hf6 zenon_H1bf zenon_H105 zenon_H133 zenon_H126 zenon_He0 zenon_H48 zenon_H57 zenon_Hc4 zenon_Hc1 zenon_H15 zenon_H29c zenon_H207 zenon_H299 zenon_H253 zenon_H22b zenon_H290 zenon_H297 zenon_H33 zenon_H264.
% 43.14/43.31 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H40. zenon_intro zenon_Ha9.
% 43.14/43.31 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_H50. zenon_intro zenon_H28.
% 43.14/43.31 apply (zenon_or_s _ _ zenon_H29e); [ zenon_intro zenon_H14 | zenon_intro zenon_H29f ].
% 43.14/43.31 exact (zenon_H15 zenon_H14).
% 43.14/43.31 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H7e | zenon_intro zenon_H2a0 ].
% 43.14/43.31 apply (zenon_or_s _ _ zenon_H29c); [ zenon_intro zenon_H14 | zenon_intro zenon_H2a1 ].
% 43.14/43.31 exact (zenon_H15 zenon_H14).
% 43.14/43.31 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H99 | zenon_intro zenon_H2a2 ].
% 43.14/43.31 apply (zenon_or_s _ _ zenon_H29d); [ zenon_intro zenon_H25a | zenon_intro zenon_H2a3 ].
% 43.14/43.31 apply (zenon_L184_); trivial.
% 43.14/43.31 apply (zenon_or_s _ _ zenon_H2a3); [ zenon_intro zenon_H283 | zenon_intro zenon_H2a4 ].
% 43.14/43.31 apply (zenon_L185_); trivial.
% 43.14/43.31 apply (zenon_or_s _ _ zenon_H2a4); [ zenon_intro zenon_H23b | zenon_intro zenon_H25b ].
% 43.14/43.31 apply (zenon_L168_); trivial.
% 43.14/43.31 apply (zenon_L353_); trivial.
% 43.14/43.31 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H24a | zenon_intro zenon_H20b ].
% 43.14/43.31 apply (zenon_L188_); trivial.
% 43.14/43.31 apply (zenon_L155_); trivial.
% 43.14/43.31 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H205 | zenon_intro zenon_H212 ].
% 43.14/43.31 exact (zenon_H207 zenon_H205).
% 43.14/43.31 apply (zenon_L192_); trivial.
% 43.14/43.31 (* end of lemma zenon_L362_ *)
% 43.14/43.31 assert (zenon_L363_ : (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e12) (op1 (e12) (e13))) = (e13))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (e10))) -> (~((e11) = (e13))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e12)) = (e22)) -> (~((h3 (op1 (e10) (e13))) = (op2 (h3 (e10)) (h3 (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (op1 (e12) (e10))) = (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e21) (e22)) = (e22)) -> ((op2 (e22) (e21)) = (e22)) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((e21) = (e23))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> ((op2 (e20) (e21)) = (e20)) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((e20) = (e23))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (e23))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e22) (op2 (e22) (e20))) = (e20))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((e23) = (op2 (e22) (e22))) -> False).
% 43.14/43.31 do 0 intro. intros zenon_H29c zenon_H15 zenon_H105 zenon_H48 zenon_H100 zenon_Hf9 zenon_H57 zenon_Hf6 zenon_H109 zenon_Haf zenon_H10d zenon_H21 zenon_Hc1 zenon_Hc4 zenon_He0 zenon_H126 zenon_H133 zenon_H1bf zenon_H1ba zenon_H30 zenon_H2b zenon_H381 zenon_H391 zenon_H73 zenon_H78 zenon_H4f zenon_H56 zenon_H6a zenon_H66 zenon_H6f zenon_H5f zenon_H6e zenon_H39c zenon_H42 zenon_H1b6 zenon_H1a8 zenon_H1c3 zenon_Hef zenon_Hb2 zenon_H60 zenon_H10c zenon_H23a zenon_H23c zenon_H282 zenon_H24d zenon_Ha8 zenon_H276 zenon_H26e zenon_H22b zenon_H22a zenon_H26a zenon_H279 zenon_H264 zenon_H260 zenon_H253 zenon_H256 zenon_H25d zenon_H27c zenon_H249 zenon_H27d zenon_H7e zenon_H85 zenon_Ha2 zenon_H93 zenon_H80 zenon_H9c zenon_Ha3 zenon_H29d zenon_H28a zenon_H20a zenon_H2c zenon_H33.
% 43.14/43.31 apply (zenon_or_s _ _ zenon_H29c); [ zenon_intro zenon_H14 | zenon_intro zenon_H2a1 ].
% 43.14/43.31 exact (zenon_H15 zenon_H14).
% 43.14/43.31 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H99 | zenon_intro zenon_H2a2 ].
% 43.14/43.31 apply (zenon_or_s _ _ zenon_H29d); [ zenon_intro zenon_H25a | zenon_intro zenon_H2a3 ].
% 43.14/43.31 apply (zenon_L184_); trivial.
% 43.14/43.31 apply (zenon_or_s _ _ zenon_H2a3); [ zenon_intro zenon_H283 | zenon_intro zenon_H2a4 ].
% 43.14/43.31 apply (zenon_L185_); trivial.
% 43.14/43.31 apply (zenon_or_s _ _ zenon_H2a4); [ zenon_intro zenon_H23b | zenon_intro zenon_H25b ].
% 43.14/43.31 apply (zenon_L166_); trivial.
% 43.14/43.31 apply (zenon_L357_); trivial.
% 43.14/43.31 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H24a | zenon_intro zenon_H20b ].
% 43.14/43.31 apply (zenon_L188_); trivial.
% 43.14/43.31 apply (zenon_L155_); trivial.
% 43.14/43.31 (* end of lemma zenon_L363_ *)
% 43.14/43.31 assert (zenon_L364_ : (((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13)))))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (op2 (e22) (e20))) = (e20))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e23) (e20)) = (e23))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((e20) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((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 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((e21) = (e23))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e22) (e21)) = (e22)) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((e10) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((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) (e13)) = (op1 (e11) (e13)))) -> (~((h3 (op1 (e10) (e13))) = (op2 (h3 (e10)) (h3 (e13))))) -> ((h3 (e12)) = (e22)) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((e11) = (e13))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e12)) = (e10))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op2 (e20) (e20)) = (e20))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e20) (e22)) = (e20))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (op2 (e22) (e23))) = (e23))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> False).
% 43.14/43.31 do 0 intro. intros zenon_H112 zenon_H29e zenon_H2c zenon_H20a zenon_H28a zenon_H29d zenon_Ha3 zenon_H9c zenon_H80 zenon_H93 zenon_Ha2 zenon_H85 zenon_H27d zenon_H249 zenon_H27c zenon_H25d zenon_H256 zenon_H260 zenon_H279 zenon_H26a zenon_H22a zenon_H26e zenon_H276 zenon_Ha8 zenon_H24d zenon_H282 zenon_H23c zenon_H23a zenon_H10c zenon_H60 zenon_Hb2 zenon_H1c3 zenon_H1a8 zenon_H1b6 zenon_H42 zenon_H39c zenon_H6e zenon_H5f zenon_H6f zenon_H66 zenon_H6a zenon_H56 zenon_H4f zenon_H78 zenon_H73 zenon_H391 zenon_H381 zenon_H2b zenon_H30 zenon_H1ba zenon_H1bf zenon_H133 zenon_H126 zenon_He0 zenon_Hc4 zenon_Hc1 zenon_H21 zenon_H10d zenon_Haf zenon_H109 zenon_Hf6 zenon_H57 zenon_Hf9 zenon_H48 zenon_H105 zenon_H15 zenon_H29c zenon_H207 zenon_H299 zenon_H253 zenon_H22b zenon_H290 zenon_H297 zenon_H33 zenon_H264.
% 43.14/43.31 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H114. zenon_intro zenon_H113.
% 43.14/43.31 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_H67. zenon_intro zenon_Hee.
% 43.14/43.31 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_Hef. zenon_intro zenon_H115.
% 43.14/43.31 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_H117. zenon_intro zenon_H116.
% 43.14/43.31 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H118. zenon_intro zenon_H100.
% 43.14/43.31 apply (zenon_or_s _ _ zenon_H29e); [ zenon_intro zenon_H14 | zenon_intro zenon_H29f ].
% 43.14/43.31 exact (zenon_H15 zenon_H14).
% 43.14/43.31 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H7e | zenon_intro zenon_H2a0 ].
% 43.14/43.31 apply (zenon_L363_); trivial.
% 43.14/43.31 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H205 | zenon_intro zenon_H212 ].
% 43.14/43.31 exact (zenon_H207 zenon_H205).
% 43.14/43.31 apply (zenon_L192_); trivial.
% 43.14/43.31 (* end of lemma zenon_L364_ *)
% 43.14/43.31 assert (zenon_L365_ : ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))))))))))))))))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (e21))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (e11))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e22) (op2 (e22) (e23))) = (e23))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (e20))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e12)) = (e22)) -> (~((h3 (op1 (e10) (e13))) = (op2 (h3 (e10)) (h3 (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e21) (e22)) = (e22)) -> ((op2 (e22) (e21)) = (e22)) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((e21) = (e23))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((e20) = (e23))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (e23))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e22) (op2 (e22) (e20))) = (e20))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> (~((e12) = (e13))) -> (~((op1 (e13) (e10)) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((e11) = (e13))) -> False).
% 43.14/43.31 do 0 intro. intros zenon_H142 zenon_H242 zenon_H234 zenon_H226 zenon_H23e zenon_Hac zenon_H15b zenon_He8 zenon_H264 zenon_H33 zenon_H297 zenon_H290 zenon_H22b zenon_H253 zenon_H299 zenon_H207 zenon_H29c zenon_H15 zenon_Hf9 zenon_Hf6 zenon_H109 zenon_Haf zenon_H10d zenon_H21 zenon_H1bf zenon_H1ba zenon_H30 zenon_H2b zenon_H381 zenon_H391 zenon_H73 zenon_H78 zenon_H4f zenon_H56 zenon_H6a zenon_H66 zenon_H6f zenon_H5f zenon_H6e zenon_H39c zenon_H42 zenon_H1b6 zenon_H1a8 zenon_H1c3 zenon_Hb2 zenon_H60 zenon_H10c zenon_H23a zenon_H23c zenon_H282 zenon_H24d zenon_Ha8 zenon_H276 zenon_H26e zenon_H22a zenon_H26a zenon_H279 zenon_H260 zenon_H256 zenon_H25d zenon_H27c zenon_H249 zenon_H27d zenon_H85 zenon_Ha2 zenon_H93 zenon_H80 zenon_H9c zenon_Ha3 zenon_H29d zenon_H28a zenon_H20a zenon_H2c zenon_H29e zenon_H11a zenon_H123 zenon_H105 zenon_H133 zenon_H126 zenon_He0 zenon_H48 zenon_H57 zenon_Hc4 zenon_Hc1.
% 43.14/43.31 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H26 | zenon_intro zenon_H143 ].
% 43.14/43.31 apply (zenon_L8_); trivial.
% 43.14/43.31 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H144 ].
% 43.14/43.31 apply (zenon_L362_); trivial.
% 43.14/43.31 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H145 ].
% 43.14/43.31 apply (zenon_L34_); trivial.
% 43.14/43.31 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H146 ].
% 43.14/43.31 apply (zenon_L36_); trivial.
% 43.14/43.31 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hcd | zenon_intro zenon_H147 ].
% 43.14/43.31 apply (zenon_L330_); trivial.
% 43.14/43.31 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H148 ].
% 43.14/43.31 apply (zenon_L45_); trivial.
% 43.14/43.31 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_Hde | zenon_intro zenon_H149 ].
% 43.14/43.31 apply (zenon_L46_); trivial.
% 43.14/43.31 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_He6 | zenon_intro zenon_H14a ].
% 43.14/43.31 apply (zenon_L48_); trivial.
% 43.14/43.31 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Heb | zenon_intro zenon_H14b ].
% 43.14/43.31 apply (zenon_L51_); trivial.
% 43.14/43.31 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H112 | zenon_intro zenon_H14c ].
% 43.14/43.31 apply (zenon_L364_); trivial.
% 43.14/43.31 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H11d | zenon_intro zenon_H14d ].
% 43.14/43.31 apply (zenon_L61_); trivial.
% 43.14/43.31 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H11f | zenon_intro zenon_H14e ].
% 43.14/43.31 apply (zenon_L62_); trivial.
% 43.14/43.31 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H122 | zenon_intro zenon_H14f ].
% 43.14/43.31 apply (zenon_L63_); trivial.
% 43.14/43.31 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H132 | zenon_intro zenon_H150 ].
% 43.14/43.31 apply (zenon_L66_); trivial.
% 43.14/43.31 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H13b | zenon_intro zenon_H140 ].
% 43.14/43.31 apply (zenon_L67_); trivial.
% 43.14/43.31 apply (zenon_L70_); trivial.
% 43.14/43.31 (* end of lemma zenon_L365_ *)
% 43.14/43.31 assert (zenon_L366_ : ((~((op1 (e11) (e10)) = (e11)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (op2 (e22) (e20))) = (e20))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e23) (e20)) = (e23))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((e20) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((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 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((e21) = (e23))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e22) (e21)) = (e22)) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((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))))) -> (~((h3 (op1 (e10) (e13))) = (op2 (h3 (e10)) (h3 (e13))))) -> ((h3 (e12)) = (e22)) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e12)) = (e10))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op2 (e20) (e20)) = (e20))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e20) (e22)) = (e20))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (op2 (e22) (e23))) = (e23))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e22)) = (e21))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op1 (e10) (e10)) = (e10))) -> (~((e11) = (e12))) -> (~((e12) = (e13))) -> (~((e10) = (e12))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))))))))))))))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> False).
% 43.14/43.31 do 0 intro. intros zenon_H37f zenon_H1d8 zenon_H1c2 zenon_H1d5 zenon_H73 zenon_H1d3 zenon_H1be zenon_H1d2 zenon_H1b6 zenon_H1c8 zenon_H1aa zenon_H1b0 zenon_H1ba zenon_Hf6 zenon_H1bf zenon_H1a8 zenon_H1c3 zenon_H47 zenon_H1a4 zenon_H19f zenon_H19e zenon_H29e zenon_H2c zenon_H20a zenon_H28a zenon_H29d zenon_Ha3 zenon_H9c zenon_H80 zenon_H93 zenon_Ha2 zenon_H85 zenon_H27d zenon_H249 zenon_H27c zenon_H25d zenon_H256 zenon_H260 zenon_H279 zenon_H26a zenon_H22a zenon_H26e zenon_H276 zenon_Ha8 zenon_H24d zenon_H282 zenon_H23c zenon_H23a zenon_H10c zenon_H39c zenon_H56 zenon_H4f zenon_H78 zenon_H391 zenon_H381 zenon_H2b zenon_H30 zenon_H10d zenon_Haf zenon_H109 zenon_H15 zenon_H29c zenon_H207 zenon_H299 zenon_H253 zenon_H22b zenon_H290 zenon_H297 zenon_H33 zenon_H264 zenon_H23e zenon_H226 zenon_H234 zenon_H242 zenon_H21 zenon_H169 zenon_H11a zenon_H17b zenon_H142 zenon_H152 zenon_Hac zenon_Hb2 zenon_H15c zenon_H126 zenon_H161 zenon_H18c zenon_H57 zenon_He0 zenon_H17f zenon_H66 zenon_H182 zenon_H189 zenon_H174 zenon_H16e zenon_H178 zenon_H105 zenon_Hc1 zenon_H6a zenon_He8 zenon_H5f zenon_H6e zenon_Hf9 zenon_Hca zenon_Hbd zenon_H166 zenon_H16b zenon_H192 zenon_H133 zenon_H42 zenon_H60 zenon_H48 zenon_Hc4.
% 43.14/43.31 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H15b | zenon_intro zenon_H1a5 ].
% 43.14/43.31 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H6f | zenon_intro zenon_H193 ].
% 43.14/43.31 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H123 | zenon_intro zenon_H1a5 ].
% 43.14/43.31 apply (zenon_L365_); trivial.
% 43.14/43.31 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H20 | zenon_intro zenon_H1a6 ].
% 43.14/43.31 exact (zenon_H21 zenon_H20).
% 43.14/43.31 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H151 | zenon_intro zenon_H1a7 ].
% 43.14/43.31 apply (zenon_L100_); trivial.
% 43.14/43.31 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H196 | zenon_intro zenon_H198 ].
% 43.14/43.31 apply (zenon_L101_); trivial.
% 43.14/43.31 apply (zenon_L102_); trivial.
% 43.14/43.31 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H17c | zenon_intro zenon_H194 ].
% 43.14/43.31 apply (zenon_L104_); trivial.
% 43.14/43.31 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H18f | zenon_intro zenon_H195 ].
% 43.14/43.31 apply (zenon_L132_); trivial.
% 43.14/43.31 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H119 | zenon_intro zenon_H185 ].
% 43.14/43.31 apply (zenon_L60_); trivial.
% 43.14/43.31 apply (zenon_L133_); trivial.
% 43.14/43.31 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H20 | zenon_intro zenon_H1a6 ].
% 43.14/43.31 exact (zenon_H21 zenon_H20).
% 43.14/43.31 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H151 | zenon_intro zenon_H1a7 ].
% 43.14/43.31 apply (zenon_L100_); trivial.
% 43.14/43.31 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H196 | zenon_intro zenon_H198 ].
% 43.14/43.31 apply (zenon_L101_); trivial.
% 43.14/43.31 apply (zenon_L102_); trivial.
% 43.14/43.31 (* end of lemma zenon_L366_ *)
% 43.14/43.31 assert (zenon_L367_ : (((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23)))))))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> ((~((op1 (e11) (e10)) = (e11)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e23) (e20)) = (e23))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((e20) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((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 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((e21) = (e23))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((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))))) -> (~((h3 (op1 (e10) (e13))) = (op2 (h3 (e10)) (h3 (e13))))) -> ((h3 (e12)) = (e22)) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op2 (e20) (e20)) = (e20))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e20) (e22)) = (e20))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e22)) = (e21))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> ((~((op1 (e10) (e12)) = (e10)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (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)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e12) = (e13))) -> (~((e10) = (e12))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))))))))))))))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> False).
% 43.14/43.31 do 0 intro. intros zenon_H2a5 zenon_H1fe zenon_H1d8 zenon_H1c8 zenon_H1aa zenon_H1b0 zenon_H1ba zenon_Hf6 zenon_H1bf zenon_H1a8 zenon_H1c3 zenon_H47 zenon_H1a4 zenon_H19f zenon_H19e zenon_H37f zenon_H29e zenon_H2c zenon_H20a zenon_H29d zenon_Ha3 zenon_H9c zenon_H80 zenon_H93 zenon_Ha2 zenon_H85 zenon_H27d zenon_H249 zenon_H27c zenon_H25d zenon_H256 zenon_H260 zenon_H279 zenon_H26a zenon_H22a zenon_H26e zenon_H276 zenon_Ha8 zenon_H24d zenon_H23a zenon_H10c zenon_H39c zenon_H56 zenon_H4f zenon_H78 zenon_H391 zenon_H381 zenon_H2b zenon_H30 zenon_H10d zenon_H109 zenon_H15 zenon_H29c zenon_H207 zenon_H299 zenon_H253 zenon_H22b zenon_H290 zenon_H33 zenon_H264 zenon_H23e zenon_H226 zenon_H234 zenon_H242 zenon_H1ff zenon_H1b6 zenon_H1d2 zenon_H1be zenon_H1d3 zenon_H73 zenon_H1d5 zenon_H1c2 zenon_H1fc zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H1e4 zenon_H1e0 zenon_H1f4 zenon_H1f3 zenon_H1d9 zenon_H1db zenon_H169 zenon_H11a zenon_H17b zenon_H142 zenon_H152 zenon_Hac zenon_Hb2 zenon_H15c zenon_H126 zenon_H161 zenon_H18c zenon_H57 zenon_He0 zenon_H17f zenon_H66 zenon_H182 zenon_H189 zenon_H174 zenon_H16e zenon_H178 zenon_H105 zenon_Hc1 zenon_H6a zenon_He8 zenon_H5f zenon_H6e zenon_Hf9 zenon_Hca zenon_Hbd zenon_H166 zenon_H16b zenon_H192 zenon_H133 zenon_H42 zenon_H60 zenon_H48 zenon_Hc4.
% 43.14/43.31 apply (zenon_and_s _ _ zenon_H2a5). zenon_intro zenon_H282. zenon_intro zenon_H2a6.
% 43.14/43.31 apply (zenon_and_s _ _ zenon_H2a6). zenon_intro zenon_H23c. zenon_intro zenon_H248.
% 43.14/43.31 apply (zenon_and_s _ _ zenon_H248). zenon_intro zenon_H28a. zenon_intro zenon_H2a7.
% 43.14/43.31 apply (zenon_and_s _ _ zenon_H2a7). zenon_intro zenon_H2a9. zenon_intro zenon_H2a8.
% 43.14/43.31 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H2aa. zenon_intro zenon_H297.
% 43.14/43.31 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H21 | zenon_intro zenon_H1a5 ].
% 43.14/43.31 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_Haf | zenon_intro zenon_H193 ].
% 43.14/43.31 apply (zenon_L366_); trivial.
% 43.14/43.31 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H17c | zenon_intro zenon_H194 ].
% 43.14/43.31 apply (zenon_L104_); trivial.
% 43.14/43.31 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H18f | zenon_intro zenon_H195 ].
% 43.14/43.31 apply (zenon_L132_); trivial.
% 43.14/43.31 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H119 | zenon_intro zenon_H185 ].
% 43.14/43.31 apply (zenon_L60_); trivial.
% 43.14/43.31 apply (zenon_L133_); trivial.
% 43.14/43.31 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H20 | zenon_intro zenon_H1a6 ].
% 43.14/43.32 apply (zenon_L149_); trivial.
% 43.14/43.32 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H151 | zenon_intro zenon_H1a7 ].
% 43.14/43.32 apply (zenon_L100_); trivial.
% 43.14/43.32 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H196 | zenon_intro zenon_H198 ].
% 43.14/43.32 apply (zenon_L101_); trivial.
% 43.14/43.32 apply (zenon_L102_); trivial.
% 43.14/43.32 (* end of lemma zenon_L367_ *)
% 43.14/43.32 assert (zenon_L368_ : ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> ((~((op1 (e11) (e10)) = (e11)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((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)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((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))))) -> (~((h3 (op1 (e10) (e13))) = (op2 (h3 (e10)) (h3 (e13))))) -> ((h3 (e12)) = (e22)) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e20) (e22)) = (e20))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e22)) = (e21))) -> ((~((op1 (e10) (e12)) = (e10)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (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)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e12) = (e13))) -> (~((e10) = (e12))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))))))))))))))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((e21) = (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e22) = (e23))) -> (~((e20) = (e22))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))))))))))))))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((e21) = (e23))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e21) (e21)) = (e21)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (~((e20) = (e23))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> False).
% 43.14/43.32 do 0 intro. intros zenon_H337 zenon_H1fe zenon_H1d8 zenon_H1c8 zenon_H1aa zenon_H1b0 zenon_H1ba zenon_Hf6 zenon_H1bf zenon_H1a8 zenon_H1c3 zenon_H47 zenon_H1a4 zenon_H19f zenon_H19e zenon_H37f zenon_H29e zenon_H29d zenon_H9c zenon_Ha2 zenon_H85 zenon_H27d zenon_H249 zenon_H27c zenon_H256 zenon_H260 zenon_Ha8 zenon_H24d zenon_H10c zenon_H39c zenon_H56 zenon_H4f zenon_H78 zenon_H391 zenon_H381 zenon_H2b zenon_H30 zenon_H10d zenon_H109 zenon_H29c zenon_H207 zenon_H299 zenon_H253 zenon_H226 zenon_H1ff zenon_H1b6 zenon_H1d2 zenon_H1be zenon_H1d3 zenon_H73 zenon_H1d5 zenon_H1c2 zenon_H1fc zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H1e4 zenon_H1e0 zenon_H1f4 zenon_H1f3 zenon_H1d9 zenon_H1db zenon_H169 zenon_H11a zenon_H17b zenon_H142 zenon_H152 zenon_Hac zenon_Hb2 zenon_H15c zenon_H126 zenon_H161 zenon_H18c zenon_H57 zenon_He0 zenon_H17f zenon_H66 zenon_H182 zenon_H189 zenon_H174 zenon_H16e zenon_H178 zenon_H105 zenon_Hc1 zenon_H6a zenon_He8 zenon_H5f zenon_H6e zenon_Hf9 zenon_Hca zenon_Hbd zenon_H166 zenon_H16b zenon_H192 zenon_H133 zenon_H42 zenon_H60 zenon_H48 zenon_Hc4 zenon_H15 zenon_H2f1 zenon_H22b zenon_H22a zenon_H26a zenon_H279 zenon_H288 zenon_H304 zenon_H2c7 zenon_H2d7 zenon_H204 zenon_H20a zenon_H2e6 zenon_H2eb zenon_H30b zenon_H30e zenon_H2fe zenon_H93 zenon_H31e zenon_H316 zenon_H311 zenon_H321 zenon_H264 zenon_H276 zenon_H23e zenon_H23a zenon_H234 zenon_H242 zenon_H290 zenon_H2e3 zenon_H2de zenon_H2ee zenon_H2f3 zenon_H32b zenon_H25d zenon_H2f9 zenon_H2f6 zenon_H301 zenon_H324 zenon_H32f zenon_H330 zenon_H80 zenon_H2c zenon_H33 zenon_H26e.
% 43.14/43.32 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H338 ].
% 43.14/43.32 apply (zenon_or_s _ _ zenon_H2c7); [ zenon_intro zenon_H1a | zenon_intro zenon_H2c8 ].
% 43.14/43.32 apply (zenon_L4_); trivial.
% 43.14/43.32 apply (zenon_or_s _ _ zenon_H2c8); [ zenon_intro zenon_H1fd | zenon_intro zenon_H2c9 ].
% 43.14/43.32 apply (zenon_L361_); trivial.
% 43.14/43.32 apply (zenon_or_s _ _ zenon_H2c9); [ zenon_intro zenon_H208 | zenon_intro zenon_H2ca ].
% 43.14/43.32 apply (zenon_L154_); trivial.
% 43.14/43.32 apply (zenon_or_s _ _ zenon_H2ca); [ zenon_intro zenon_H210 | zenon_intro zenon_H2cb ].
% 43.14/43.32 apply (zenon_L156_); trivial.
% 43.14/43.32 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H213 | zenon_intro zenon_H2cc ].
% 43.14/43.32 apply (zenon_L211_); trivial.
% 43.14/43.32 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H21b | zenon_intro zenon_H2cd ].
% 43.14/43.32 apply (zenon_L160_); trivial.
% 43.14/43.32 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H225 | zenon_intro zenon_H2ce ].
% 43.14/43.32 apply (zenon_L161_); trivial.
% 43.14/43.32 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H231 | zenon_intro zenon_H2cf ].
% 43.14/43.32 apply (zenon_L164_); trivial.
% 43.14/43.32 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_H245 | zenon_intro zenon_H2d0 ].
% 43.14/43.32 apply (zenon_L169_); trivial.
% 43.14/43.32 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H2a5 | zenon_intro zenon_H2d1 ].
% 43.14/43.32 apply (zenon_L367_); trivial.
% 43.14/43.32 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H2ae | zenon_intro zenon_H2d2 ].
% 43.14/43.32 apply (zenon_L198_); trivial.
% 43.14/43.32 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H2b0 | zenon_intro zenon_H2d3 ].
% 43.14/43.32 apply (zenon_L199_); trivial.
% 43.14/43.32 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H2b3 | zenon_intro zenon_H2d4 ].
% 43.14/43.32 apply (zenon_L200_); trivial.
% 43.14/43.32 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_H2bc | zenon_intro zenon_H2d5 ].
% 43.14/43.32 apply (zenon_L202_); trivial.
% 43.14/43.32 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2c5 ].
% 43.14/43.32 apply (zenon_L203_); trivial.
% 43.14/43.32 apply (zenon_L204_); trivial.
% 43.14/43.32 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ].
% 43.14/43.32 exact (zenon_H15 zenon_H14).
% 43.14/43.32 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ].
% 43.14/43.32 apply (zenon_L251_); trivial.
% 43.14/43.32 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ].
% 43.14/43.32 apply (zenon_L173_); trivial.
% 43.14/43.32 apply (zenon_L252_); trivial.
% 43.14/43.32 (* end of lemma zenon_L368_ *)
% 43.14/43.32 assert (zenon_L369_ : (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) 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(e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 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(op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((e20) = (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))))))))))))))))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e20)) = (e20))) -> ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (e21))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e20)) = (e21)) -> ((~((op2 (e22) (e20)) = (e22)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((e22) = (e23))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((e21) = (e22))) -> False).
% 43.14/43.32 do 0 intro. intros zenon_Hc4 zenon_H48 zenon_H60 zenon_H42 zenon_H133 zenon_H192 zenon_H16b zenon_H166 zenon_Hbd zenon_Hca zenon_Hf9 zenon_H6e zenon_H5f zenon_He8 zenon_H6a zenon_Hc1 zenon_H105 zenon_H178 zenon_H16e zenon_H174 zenon_H189 zenon_H182 zenon_H66 zenon_H17f zenon_He0 zenon_H57 zenon_H18c zenon_H161 zenon_H126 zenon_H15c zenon_Hb2 zenon_Hac zenon_H152 zenon_H142 zenon_H17b zenon_H11a zenon_H169 zenon_H1db zenon_H1d9 zenon_H1f3 zenon_H1f4 zenon_H1e0 zenon_H1e4 zenon_H1ed zenon_H1ec zenon_H1f5 zenon_H1fc zenon_H1c2 zenon_H1d5 zenon_H73 zenon_H1d3 zenon_H1be zenon_H1d2 zenon_H1b6 zenon_H1ff zenon_H299 zenon_H207 zenon_H29c zenon_H109 zenon_H10d zenon_H30 zenon_H2b zenon_H381 zenon_H391 zenon_H78 zenon_H4f zenon_H56 zenon_H39c zenon_H10c zenon_Ha8 zenon_Ha2 zenon_H29e zenon_H37f zenon_H19e zenon_H19f zenon_H1a4 zenon_H47 zenon_H1c3 zenon_H1a8 zenon_H1bf zenon_Hf6 zenon_H1ba zenon_H1b0 zenon_H1aa zenon_H1c8 zenon_H1d8 zenon_H1fe zenon_H2c zenon_H80 zenon_H330 zenon_H32f zenon_H324 zenon_H301 zenon_H2f6 zenon_H2f9 zenon_H25d zenon_H32b zenon_H2f3 zenon_H2ee zenon_H2de zenon_H2e3 zenon_H290 zenon_H242 zenon_H234 zenon_H23a zenon_H23e zenon_H276 zenon_H264 zenon_H321 zenon_H311 zenon_H316 zenon_H31e zenon_H93 zenon_H2fe zenon_H30e zenon_H30b zenon_H2eb zenon_H2e6 zenon_H20a zenon_H204 zenon_H2d7 zenon_H2c7 zenon_H304 zenon_H15 zenon_H337 zenon_H352 zenon_H33d zenon_H24d zenon_H349 zenon_H27d zenon_H342 zenon_H260 zenon_H253 zenon_H33c zenon_H27c zenon_H33e zenon_H85 zenon_H214 zenon_H29d zenon_H345 zenon_H249 zenon_H9c zenon_H256 zenon_H309 zenon_H354 zenon_H288 zenon_H279 zenon_H26a zenon_H22a zenon_H33 zenon_H22b zenon_H26e zenon_H2f1.
% 43.14/43.32 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H226 | zenon_intro zenon_H32c ].
% 43.14/43.32 apply (zenon_L368_); trivial.
% 43.14/43.32 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H25a | zenon_intro zenon_H32d ].
% 43.14/43.32 apply (zenon_L230_); trivial.
% 43.14/43.32 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H328 | zenon_intro zenon_H32e ].
% 43.14/43.32 apply (zenon_L296_); trivial.
% 43.14/43.32 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H2ab | zenon_intro zenon_H31a ].
% 43.14/43.32 apply (zenon_L197_); trivial.
% 43.14/43.32 apply (zenon_L245_); trivial.
% 43.14/43.32 (* end of lemma zenon_L369_ *)
% 43.14/43.32 assert (zenon_L370_ : (((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13)))))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (op2 (e22) (e20))) = (e20))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (e23))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((e20) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((e10) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((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) (e13)) = (op1 (e11) (e13)))) -> (~((h3 (op1 (e10) (e13))) = (op2 (h3 (e10)) (h3 (e13))))) -> ((h3 (e12)) = (e22)) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((e11) = (e13))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((e21) = (e23))) -> (~((op2 (e20) (e20)) = (e20))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (op2 (e22) (e23))) = (e23))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> False).
% 43.14/43.32 do 0 intro. intros zenon_Ha7 zenon_H29e zenon_H20a zenon_H28a zenon_H27d zenon_H249 zenon_H24d zenon_H27c zenon_Ha3 zenon_H9c zenon_H80 zenon_H93 zenon_Ha2 zenon_H25d zenon_H1c3 zenon_H1a8 zenon_H1b6 zenon_H42 zenon_H39c zenon_H6e zenon_H60 zenon_H5f zenon_H6f zenon_H66 zenon_H6a zenon_H56 zenon_H4f zenon_H78 zenon_H73 zenon_H391 zenon_H381 zenon_H2b zenon_H30 zenon_H1ba zenon_Hf6 zenon_H1bf zenon_H105 zenon_H133 zenon_H126 zenon_He0 zenon_H48 zenon_H57 zenon_Hc4 zenon_Hc1 zenon_H256 zenon_H260 zenon_H279 zenon_H26a zenon_H22a zenon_H26e zenon_H276 zenon_H15 zenon_H29c zenon_H2c zenon_H204 zenon_H299 zenon_H253 zenon_H22b zenon_H290 zenon_H297 zenon_H33 zenon_H264.
% 43.14/43.32 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H40. zenon_intro zenon_Ha9.
% 43.14/43.32 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_H50. zenon_intro zenon_H28.
% 43.14/43.32 apply (zenon_or_s _ _ zenon_H29e); [ zenon_intro zenon_H14 | zenon_intro zenon_H29f ].
% 43.14/43.32 exact (zenon_H15 zenon_H14).
% 43.14/43.32 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H7e | zenon_intro zenon_H2a0 ].
% 43.14/43.32 apply (zenon_or_s _ _ zenon_H29c); [ zenon_intro zenon_H14 | zenon_intro zenon_H2a1 ].
% 43.14/43.32 exact (zenon_H15 zenon_H14).
% 43.14/43.32 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H99 | zenon_intro zenon_H2a2 ].
% 43.14/43.32 apply (zenon_L355_); trivial.
% 43.14/43.32 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H24a | zenon_intro zenon_H20b ].
% 43.14/43.32 apply (zenon_L188_); trivial.
% 43.14/43.32 apply (zenon_L155_); trivial.
% 43.14/43.32 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H205 | zenon_intro zenon_H212 ].
% 43.14/43.32 apply (zenon_L153_); trivial.
% 43.14/43.32 apply (zenon_L192_); trivial.
% 43.14/43.32 (* end of lemma zenon_L370_ *)
% 43.14/43.32 assert (zenon_L371_ : (((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13)))))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (op2 (e22) (e20))) = (e20))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e23) (e20)) = (e23))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((e20) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((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 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((e21) = (e23))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e22) (e21)) = (e22)) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((e10) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((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) (e13)) = (op1 (e11) (e13)))) -> (~((h3 (op1 (e10) (e13))) = (op2 (h3 (e10)) (h3 (e13))))) -> ((h3 (e12)) = (e22)) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((e11) = (e13))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e12)) = (e10))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op2 (e20) (e20)) = (e20))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (op2 (e22) (e23))) = (e23))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> False).
% 43.14/43.32 do 0 intro. intros zenon_H112 zenon_H29e zenon_H20a zenon_H28a zenon_H29d zenon_Ha3 zenon_H9c zenon_H80 zenon_H93 zenon_Ha2 zenon_H85 zenon_H27d zenon_H249 zenon_H27c zenon_H25d zenon_H256 zenon_H260 zenon_H279 zenon_H26a zenon_H22a zenon_H26e zenon_H276 zenon_Ha8 zenon_H24d zenon_H282 zenon_H23c zenon_H23a zenon_H10c zenon_H60 zenon_Hb2 zenon_H1c3 zenon_H1a8 zenon_H1b6 zenon_H42 zenon_H39c zenon_H6e zenon_H5f zenon_H6f zenon_H66 zenon_H6a zenon_H56 zenon_H4f zenon_H78 zenon_H73 zenon_H391 zenon_H381 zenon_H2b zenon_H30 zenon_H1ba zenon_H1bf zenon_H133 zenon_H126 zenon_He0 zenon_Hc4 zenon_Hc1 zenon_H21 zenon_H10d zenon_Haf zenon_H109 zenon_Hf6 zenon_H57 zenon_Hf9 zenon_H48 zenon_H105 zenon_H15 zenon_H29c zenon_H2c zenon_H204 zenon_H299 zenon_H253 zenon_H22b zenon_H290 zenon_H297 zenon_H33 zenon_H264.
% 43.14/43.32 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H114. zenon_intro zenon_H113.
% 43.14/43.32 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_H67. zenon_intro zenon_Hee.
% 43.14/43.32 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_Hef. zenon_intro zenon_H115.
% 43.14/43.32 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_H117. zenon_intro zenon_H116.
% 43.14/43.32 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H118. zenon_intro zenon_H100.
% 43.14/43.32 apply (zenon_or_s _ _ zenon_H29e); [ zenon_intro zenon_H14 | zenon_intro zenon_H29f ].
% 43.14/43.32 exact (zenon_H15 zenon_H14).
% 43.14/43.32 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H7e | zenon_intro zenon_H2a0 ].
% 43.14/43.32 apply (zenon_L363_); trivial.
% 43.14/43.32 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H205 | zenon_intro zenon_H212 ].
% 43.14/43.32 apply (zenon_L153_); trivial.
% 43.14/43.32 apply (zenon_L192_); trivial.
% 43.14/43.32 (* end of lemma zenon_L371_ *)
% 43.14/43.32 assert (zenon_L372_ : ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))))))))))))))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (e11))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e22) (op2 (e22) (e23))) = (e23))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e12)) = (e22)) -> (~((h3 (op1 (e10) (e13))) = (op2 (h3 (e10)) (h3 (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e21) (e22)) = (e22)) -> ((op2 (e22) (e21)) = (e22)) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((e21) = (e23))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((e20) = (e23))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (e23))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e22) (op2 (e22) (e20))) = (e20))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> (~((e12) = (e13))) -> (~((op1 (e13) (e10)) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((e11) = (e13))) -> False).
% 43.14/43.32 do 0 intro. intros zenon_H142 zenon_Hac zenon_H15b zenon_He8 zenon_H264 zenon_H33 zenon_H297 zenon_H290 zenon_H22b zenon_H253 zenon_H299 zenon_H204 zenon_H2c zenon_H29c zenon_H15 zenon_Hf9 zenon_Hf6 zenon_H109 zenon_Haf zenon_H10d zenon_H21 zenon_H1bf zenon_H1ba zenon_H30 zenon_H2b zenon_H381 zenon_H391 zenon_H73 zenon_H78 zenon_H4f zenon_H56 zenon_H6a zenon_H66 zenon_H6f zenon_H5f zenon_H6e zenon_H39c zenon_H42 zenon_H1b6 zenon_H1a8 zenon_H1c3 zenon_Hb2 zenon_H60 zenon_H10c zenon_H23a zenon_H23c zenon_H282 zenon_H24d zenon_Ha8 zenon_H276 zenon_H26e zenon_H22a zenon_H26a zenon_H279 zenon_H260 zenon_H256 zenon_H25d zenon_H27c zenon_H249 zenon_H27d zenon_H85 zenon_Ha2 zenon_H93 zenon_H80 zenon_H9c zenon_Ha3 zenon_H29d zenon_H28a zenon_H20a zenon_H29e zenon_H11a zenon_H123 zenon_H105 zenon_H133 zenon_H126 zenon_He0 zenon_H48 zenon_H57 zenon_Hc4 zenon_Hc1.
% 43.14/43.32 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H26 | zenon_intro zenon_H143 ].
% 43.14/43.32 apply (zenon_L8_); trivial.
% 43.14/43.32 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H144 ].
% 43.14/43.32 apply (zenon_L370_); trivial.
% 43.14/43.32 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H145 ].
% 43.14/43.32 apply (zenon_L34_); trivial.
% 43.14/43.32 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H146 ].
% 43.14/43.32 apply (zenon_L36_); trivial.
% 43.14/43.32 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hcd | zenon_intro zenon_H147 ].
% 43.14/43.32 apply (zenon_L330_); trivial.
% 43.14/43.32 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H148 ].
% 43.14/43.32 apply (zenon_L45_); trivial.
% 43.14/43.32 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_Hde | zenon_intro zenon_H149 ].
% 43.14/43.32 apply (zenon_L46_); trivial.
% 43.14/43.32 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_He6 | zenon_intro zenon_H14a ].
% 43.14/43.32 apply (zenon_L48_); trivial.
% 43.14/43.32 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Heb | zenon_intro zenon_H14b ].
% 43.14/43.32 apply (zenon_L51_); trivial.
% 43.14/43.32 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H112 | zenon_intro zenon_H14c ].
% 43.14/43.32 apply (zenon_L371_); trivial.
% 43.14/43.32 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H11d | zenon_intro zenon_H14d ].
% 43.14/43.32 apply (zenon_L61_); trivial.
% 43.14/43.32 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H11f | zenon_intro zenon_H14e ].
% 43.14/43.32 apply (zenon_L62_); trivial.
% 43.14/43.32 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H122 | zenon_intro zenon_H14f ].
% 43.14/43.32 apply (zenon_L63_); trivial.
% 43.14/43.32 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H132 | zenon_intro zenon_H150 ].
% 43.14/43.32 apply (zenon_L66_); trivial.
% 43.14/43.32 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H13b | zenon_intro zenon_H140 ].
% 43.14/43.32 apply (zenon_L67_); trivial.
% 43.14/43.32 apply (zenon_L70_); trivial.
% 43.14/43.32 (* end of lemma zenon_L372_ *)
% 43.14/43.32 assert (zenon_L373_ : ((~((op1 (e11) (e10)) = (e11)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (op2 (e22) (e20))) = (e20))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e23) (e20)) = (e23))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((e20) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((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 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((e21) = (e23))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e22) (e21)) = (e22)) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((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))))) -> (~((h3 (op1 (e10) (e13))) = (op2 (h3 (e10)) (h3 (e13))))) -> ((h3 (e12)) = (e22)) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e12)) = (e10))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op2 (e20) (e20)) = (e20))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (op2 (e22) (e23))) = (e23))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op1 (e10) (e10)) = (e10))) -> (~((e11) = (e12))) -> (~((e12) = (e13))) -> (~((e10) = (e12))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))))))))))))))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> False).
% 43.14/43.32 do 0 intro. intros zenon_H37f zenon_H1d8 zenon_H1c2 zenon_H1d5 zenon_H73 zenon_H1d3 zenon_H1be zenon_H1d2 zenon_H1b6 zenon_H1c8 zenon_H1aa zenon_H1b0 zenon_H1ba zenon_Hf6 zenon_H1bf zenon_H1a8 zenon_H1c3 zenon_H47 zenon_H1a4 zenon_H19f zenon_H19e zenon_H29e zenon_H20a zenon_H28a zenon_H29d zenon_Ha3 zenon_H9c zenon_H80 zenon_H93 zenon_Ha2 zenon_H85 zenon_H27d zenon_H249 zenon_H27c zenon_H25d zenon_H256 zenon_H260 zenon_H279 zenon_H26a zenon_H22a zenon_H26e zenon_H276 zenon_Ha8 zenon_H24d zenon_H282 zenon_H23c zenon_H23a zenon_H10c zenon_H39c zenon_H56 zenon_H4f zenon_H78 zenon_H391 zenon_H381 zenon_H2b zenon_H30 zenon_H10d zenon_Haf zenon_H109 zenon_H15 zenon_H29c zenon_H2c zenon_H204 zenon_H299 zenon_H253 zenon_H22b zenon_H290 zenon_H297 zenon_H33 zenon_H264 zenon_H21 zenon_H169 zenon_H11a zenon_H17b zenon_H142 zenon_H152 zenon_Hac zenon_Hb2 zenon_H15c zenon_H126 zenon_H161 zenon_H18c zenon_H57 zenon_He0 zenon_H17f zenon_H66 zenon_H182 zenon_H189 zenon_H174 zenon_H16e zenon_H178 zenon_H105 zenon_Hc1 zenon_H6a zenon_He8 zenon_H5f zenon_H6e zenon_Hf9 zenon_Hca zenon_Hbd zenon_H166 zenon_H16b zenon_H192 zenon_H133 zenon_H42 zenon_H60 zenon_H48 zenon_Hc4.
% 43.14/43.32 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H15b | zenon_intro zenon_H1a5 ].
% 43.14/43.32 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H6f | zenon_intro zenon_H193 ].
% 43.14/43.32 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H123 | zenon_intro zenon_H1a5 ].
% 43.14/43.32 apply (zenon_L372_); trivial.
% 43.14/43.32 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H20 | zenon_intro zenon_H1a6 ].
% 43.14/43.32 exact (zenon_H21 zenon_H20).
% 43.14/43.32 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H151 | zenon_intro zenon_H1a7 ].
% 43.14/43.32 apply (zenon_L100_); trivial.
% 43.14/43.32 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H196 | zenon_intro zenon_H198 ].
% 43.14/43.32 apply (zenon_L101_); trivial.
% 43.14/43.32 apply (zenon_L102_); trivial.
% 43.14/43.32 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H17c | zenon_intro zenon_H194 ].
% 43.14/43.32 apply (zenon_L104_); trivial.
% 43.14/43.32 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H18f | zenon_intro zenon_H195 ].
% 43.14/43.32 apply (zenon_L132_); trivial.
% 43.14/43.32 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H119 | zenon_intro zenon_H185 ].
% 43.14/43.32 apply (zenon_L60_); trivial.
% 43.14/43.32 apply (zenon_L133_); trivial.
% 43.14/43.32 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H20 | zenon_intro zenon_H1a6 ].
% 43.14/43.32 exact (zenon_H21 zenon_H20).
% 43.14/43.32 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H151 | zenon_intro zenon_H1a7 ].
% 43.14/43.32 apply (zenon_L100_); trivial.
% 43.14/43.32 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H196 | zenon_intro zenon_H198 ].
% 43.14/43.32 apply (zenon_L101_); trivial.
% 43.14/43.32 apply (zenon_L102_); trivial.
% 43.14/43.32 (* end of lemma zenon_L373_ *)
% 43.14/43.32 assert (zenon_L374_ : ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))))))))))))))))) -> (~((e20) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e20)) = (e21))) -> (~((e21) = (e22))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> ((op2 (e20) (e20)) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))))))))))))))))) -> (~((e10) = (e12))) -> (~((e12) = (e13))) -> (~((e11) = (e12))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (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 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (~((op2 (e22) (e23)) = (op2 (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 (e20) (e22)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e20) (e20)) = (e20))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e12)) = (e22)) -> (~((h3 (op1 (e10) (e13))) = (op2 (h3 (e10)) (h3 (e13))))) -> (((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 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((e20) = (e23))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> ((~((op1 (e11) (e10)) = (e11)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (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) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((e22) = (e23))) -> (~((op2 (e23) (e20)) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((e21) = (e23))) -> False).
% 43.14/43.32 do 0 intro. intros zenon_H2c7 zenon_H304 zenon_H2eb zenon_H214 zenon_H2f1 zenon_H30b zenon_H25a zenon_H30e zenon_Hc4 zenon_H48 zenon_H60 zenon_H42 zenon_H133 zenon_H192 zenon_H16b zenon_H166 zenon_Hbd zenon_Hca zenon_Hf9 zenon_H6e zenon_H5f zenon_He8 zenon_H6a zenon_Hc1 zenon_H105 zenon_H178 zenon_H16e zenon_H174 zenon_H189 zenon_H182 zenon_H66 zenon_H17f zenon_He0 zenon_H57 zenon_H18c zenon_H161 zenon_H126 zenon_H15c zenon_Hb2 zenon_Hac zenon_H152 zenon_H142 zenon_H17b zenon_H11a zenon_H169 zenon_H1db zenon_H1d9 zenon_H1f3 zenon_H1f4 zenon_H1e0 zenon_H1e4 zenon_H1ed zenon_H1ec zenon_H1f5 zenon_H1fc zenon_H1c2 zenon_H1d5 zenon_H73 zenon_H1d3 zenon_H1be zenon_H1d2 zenon_H1b6 zenon_H1ff zenon_H290 zenon_H253 zenon_H299 zenon_H204 zenon_H2c zenon_H29c zenon_H15 zenon_H109 zenon_H10d zenon_H30 zenon_H2b zenon_H381 zenon_H391 zenon_H78 zenon_H4f zenon_H56 zenon_H39c zenon_H10c zenon_H23a zenon_H24d zenon_Ha8 zenon_H260 zenon_H256 zenon_H25d zenon_H27c zenon_H249 zenon_H27d zenon_H85 zenon_Ha2 zenon_H93 zenon_H80 zenon_H9c zenon_H29d zenon_H20a zenon_H29e zenon_H37f zenon_H19e zenon_H19f zenon_H1a4 zenon_H47 zenon_H1c3 zenon_H1a8 zenon_H1bf zenon_Hf6 zenon_H1ba zenon_H1b0 zenon_H1aa zenon_H1c8 zenon_H1d8 zenon_H1fe zenon_H288 zenon_Ha3 zenon_H264 zenon_H279 zenon_H26a zenon_H22a zenon_H33 zenon_H22b zenon_H26e zenon_H276.
% 43.14/43.32 apply (zenon_or_s _ _ zenon_H2c7); [ zenon_intro zenon_H1a | zenon_intro zenon_H2c8 ].
% 43.14/43.32 apply (zenon_L227_); trivial.
% 43.14/43.32 apply (zenon_or_s _ _ zenon_H2c8); [ zenon_intro zenon_H1fd | zenon_intro zenon_H2c9 ].
% 43.14/43.32 apply (zenon_L253_); trivial.
% 43.14/43.32 apply (zenon_or_s _ _ zenon_H2c9); [ zenon_intro zenon_H208 | zenon_intro zenon_H2ca ].
% 43.14/43.32 apply (zenon_L154_); trivial.
% 43.14/43.32 apply (zenon_or_s _ _ zenon_H2ca); [ zenon_intro zenon_H210 | zenon_intro zenon_H2cb ].
% 43.14/43.32 apply (zenon_L156_); trivial.
% 43.14/43.32 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H213 | zenon_intro zenon_H2cc ].
% 43.14/43.32 apply (zenon_L157_); trivial.
% 43.14/43.32 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H21b | zenon_intro zenon_H2cd ].
% 43.14/43.32 apply (zenon_L160_); trivial.
% 43.14/43.32 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H225 | zenon_intro zenon_H2ce ].
% 43.14/43.32 apply (zenon_L255_); trivial.
% 43.14/43.32 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H231 | zenon_intro zenon_H2cf ].
% 43.14/43.32 apply (zenon_L164_); trivial.
% 43.14/43.32 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_H245 | zenon_intro zenon_H2d0 ].
% 43.14/43.32 apply (zenon_L232_); trivial.
% 43.14/43.32 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H2a5 | zenon_intro zenon_H2d1 ].
% 43.14/43.33 apply (zenon_and_s _ _ zenon_H2a5). zenon_intro zenon_H282. zenon_intro zenon_H2a6.
% 43.14/43.33 apply (zenon_and_s _ _ zenon_H2a6). zenon_intro zenon_H23c. zenon_intro zenon_H248.
% 43.14/43.33 apply (zenon_and_s _ _ zenon_H248). zenon_intro zenon_H28a. zenon_intro zenon_H2a7.
% 43.14/43.33 apply (zenon_and_s _ _ zenon_H2a7). zenon_intro zenon_H2a9. zenon_intro zenon_H2a8.
% 43.14/43.33 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H2aa. zenon_intro zenon_H297.
% 43.14/43.33 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H21 | zenon_intro zenon_H1a5 ].
% 43.14/43.33 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_Haf | zenon_intro zenon_H193 ].
% 43.14/43.33 apply (zenon_L373_); trivial.
% 43.14/43.33 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H17c | zenon_intro zenon_H194 ].
% 43.14/43.33 apply (zenon_L104_); trivial.
% 43.14/43.33 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H18f | zenon_intro zenon_H195 ].
% 43.14/43.33 apply (zenon_L132_); trivial.
% 43.14/43.33 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H119 | zenon_intro zenon_H185 ].
% 43.14/43.33 apply (zenon_L60_); trivial.
% 43.14/43.33 apply (zenon_L133_); trivial.
% 43.14/43.33 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H20 | zenon_intro zenon_H1a6 ].
% 43.14/43.33 apply (zenon_L149_); trivial.
% 43.14/43.33 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H151 | zenon_intro zenon_H1a7 ].
% 43.14/43.33 apply (zenon_L100_); trivial.
% 43.14/43.33 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H196 | zenon_intro zenon_H198 ].
% 43.14/43.33 apply (zenon_L101_); trivial.
% 43.14/43.33 apply (zenon_L102_); trivial.
% 43.14/43.33 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H2ae | zenon_intro zenon_H2d2 ].
% 43.14/43.33 apply (zenon_L198_); trivial.
% 43.14/43.33 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H2b0 | zenon_intro zenon_H2d3 ].
% 43.14/43.33 apply (zenon_L199_); trivial.
% 43.14/43.33 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H2b3 | zenon_intro zenon_H2d4 ].
% 43.14/43.33 apply (zenon_L200_); trivial.
% 43.14/43.33 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_H2bc | zenon_intro zenon_H2d5 ].
% 43.14/43.33 apply (zenon_L202_); trivial.
% 43.14/43.33 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2c5 ].
% 43.14/43.33 apply (zenon_L203_); trivial.
% 43.14/43.33 apply (zenon_L204_); trivial.
% 43.14/43.33 (* end of lemma zenon_L374_ *)
% 43.14/43.33 assert (zenon_L375_ : ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((e21) = (e23))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((e22) = (e23))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> ((~((op1 (e11) (e10)) = (e11)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((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 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((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))))) -> (~((h3 (op1 (e10) (e13))) = (op2 (h3 (e10)) (h3 (e13))))) -> ((h3 (e12)) = (e22)) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (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)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e12) = (e13))) -> (~((e10) = (e12))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))))))))))))))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e20) (e20)) = (e22)) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((e21) = (e22))) -> (~((op2 (e21) (e20)) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((e20) = (e22))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))))))))))))))))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((e20) = (e21))) -> ((op2 (e21) (e21)) = (e21)) -> (~((e20) = (e23))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> False).
% 43.14/43.33 do 0 intro. intros zenon_H337 zenon_H276 zenon_H22b zenon_H22a zenon_H26a zenon_H279 zenon_H264 zenon_H288 zenon_H1fe zenon_H1d8 zenon_H1c8 zenon_H1aa zenon_H1b0 zenon_H1ba zenon_Hf6 zenon_H1bf zenon_H1a8 zenon_H1c3 zenon_H47 zenon_H1a4 zenon_H19f zenon_H19e zenon_H37f zenon_H29e zenon_H20a zenon_H29d zenon_H9c zenon_H93 zenon_Ha2 zenon_H85 zenon_H27d zenon_H249 zenon_H27c zenon_H25d zenon_H256 zenon_H260 zenon_Ha8 zenon_H24d zenon_H23a zenon_H10c zenon_H39c zenon_H56 zenon_H4f zenon_H78 zenon_H391 zenon_H381 zenon_H2b zenon_H30 zenon_H10d zenon_H109 zenon_H29c zenon_H204 zenon_H299 zenon_H253 zenon_H290 zenon_H1ff zenon_H1b6 zenon_H1d2 zenon_H1be zenon_H1d3 zenon_H73 zenon_H1d5 zenon_H1c2 zenon_H1fc zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H1e4 zenon_H1e0 zenon_H1f4 zenon_H1f3 zenon_H1d9 zenon_H1db zenon_H169 zenon_H11a zenon_H17b zenon_H142 zenon_H152 zenon_Hac zenon_Hb2 zenon_H15c zenon_H126 zenon_H161 zenon_H18c zenon_H57 zenon_He0 zenon_H17f zenon_H66 zenon_H182 zenon_H189 zenon_H174 zenon_H16e zenon_H178 zenon_H105 zenon_Hc1 zenon_H6a zenon_He8 zenon_H5f zenon_H6e zenon_Hf9 zenon_Hca zenon_Hbd zenon_H166 zenon_H16b zenon_H192 zenon_H133 zenon_H42 zenon_H60 zenon_H48 zenon_Hc4 zenon_H30e zenon_H25a zenon_H30b zenon_H2f1 zenon_H214 zenon_H2eb zenon_H304 zenon_H2c7 zenon_H15 zenon_H2e6 zenon_H219 zenon_H80 zenon_H2c zenon_H33 zenon_H26e.
% 43.14/43.33 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H338 ].
% 43.14/43.33 apply (zenon_L374_); trivial.
% 43.14/43.33 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ].
% 43.14/43.33 exact (zenon_H15 zenon_H14).
% 43.14/43.33 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ].
% 43.14/43.33 apply (zenon_L212_); trivial.
% 43.14/43.33 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ].
% 43.14/43.33 apply (zenon_L173_); trivial.
% 43.14/43.33 apply (zenon_L252_); trivial.
% 43.14/43.33 (* end of lemma zenon_L375_ *)
% 43.14/43.33 assert (zenon_L376_ : (~((op2 (e20) (e22)) = (e20))) -> ((op2 (e21) (e21)) = (e21)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))))))))))))))))) -> (~((e10) = (e12))) -> (~((e12) = (e13))) -> (~((e11) = (e12))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (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 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e12)) = (e22)) -> (~((h3 (op1 (e10) (e13))) = (op2 (h3 (e10)) (h3 (e13))))) -> (((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 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> ((~((op1 (e11) (e10)) = (e11)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (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) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (~((e20) = (e23))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e20)) = (e20))) -> ((~((op2 (e22) (e20)) = (e22)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))))))))))))))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((e21) = (e23))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e21) (e21)) = (e21)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e21) (e20)) = (e21)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((op2 (e21) (e20)) = (e21))) -> (~((e22) = (e23))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((e21) = (e22))) -> False).
% 43.14/43.33 do 0 intro. intros zenon_H207 zenon_H219 zenon_Hc4 zenon_H48 zenon_H60 zenon_H42 zenon_H133 zenon_H192 zenon_H16b zenon_H166 zenon_Hbd zenon_Hca zenon_Hf9 zenon_H6e zenon_H5f zenon_He8 zenon_H6a zenon_Hc1 zenon_H105 zenon_H178 zenon_H16e zenon_H174 zenon_H189 zenon_H182 zenon_H66 zenon_H17f zenon_He0 zenon_H57 zenon_H18c zenon_H161 zenon_H126 zenon_H15c zenon_Hb2 zenon_Hac zenon_H152 zenon_H142 zenon_H17b zenon_H11a zenon_H169 zenon_H1db zenon_H1d9 zenon_H1f3 zenon_H1f4 zenon_H1e0 zenon_H1e4 zenon_H1ed zenon_H1ec zenon_H1f5 zenon_H1fc zenon_H1c2 zenon_H1d5 zenon_H73 zenon_H1d3 zenon_H1be zenon_H1d2 zenon_H1b6 zenon_H1ff zenon_H299 zenon_H29c zenon_H109 zenon_H10d zenon_H30 zenon_H2b zenon_H381 zenon_H391 zenon_H78 zenon_H4f zenon_H56 zenon_H39c zenon_H10c zenon_Ha8 zenon_Ha2 zenon_H29e zenon_H37f zenon_H19e zenon_H19f zenon_H1a4 zenon_H47 zenon_H1c3 zenon_H1a8 zenon_H1bf zenon_Hf6 zenon_H1ba zenon_H1b0 zenon_H1aa zenon_H1c8 zenon_H1d8 zenon_H1fe zenon_H2c zenon_H80 zenon_H304 zenon_H15 zenon_H354 zenon_H256 zenon_H9c zenon_H249 zenon_H345 zenon_H29d zenon_H85 zenon_H33e zenon_H27c zenon_H33c zenon_H253 zenon_H260 zenon_H342 zenon_H24d zenon_H27d zenon_H349 zenon_H33d zenon_H352 zenon_H337 zenon_H2c7 zenon_H2d7 zenon_H204 zenon_H20a zenon_H2e6 zenon_H2eb zenon_H30b zenon_H30e zenon_H2fe zenon_H93 zenon_H31e zenon_H316 zenon_H311 zenon_H321 zenon_H264 zenon_H276 zenon_H23e zenon_H23a zenon_H234 zenon_H242 zenon_H290 zenon_H2e3 zenon_H2de zenon_H2ee zenon_H2f3 zenon_H32b zenon_H25d zenon_H2f9 zenon_H2f6 zenon_H301 zenon_H324 zenon_H32f zenon_H330 zenon_H33b zenon_H214 zenon_H288 zenon_H279 zenon_H26a zenon_H22a zenon_H33 zenon_H22b zenon_H26e zenon_H2f1.
% 43.14/43.33 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H226 | zenon_intro zenon_H32c ].
% 43.14/43.33 apply (zenon_L368_); trivial.
% 43.14/43.33 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H25a | zenon_intro zenon_H32d ].
% 43.14/43.33 apply (zenon_L375_); trivial.
% 43.14/43.33 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H328 | zenon_intro zenon_H32e ].
% 43.14/43.33 apply (zenon_L304_); trivial.
% 43.14/43.33 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H2ab | zenon_intro zenon_H31a ].
% 43.14/43.33 apply (zenon_L197_); trivial.
% 43.14/43.33 apply (zenon_L245_); trivial.
% 43.14/43.33 (* end of lemma zenon_L376_ *)
% 43.14/43.33 assert (zenon_L377_ : (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 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(op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((e20) = (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))))))))))))))))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e20)) = (e20))) -> ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> ((op2 (e23) (e23)) = (e21)) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e20)) = (e21))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((~((op2 (e22) (e20)) = (e22)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((e22) = (e23))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((e21) = (e22))) -> False).
% 43.14/43.33 do 0 intro. intros zenon_Hc4 zenon_H48 zenon_H60 zenon_H42 zenon_H133 zenon_H192 zenon_H16b zenon_H166 zenon_Hbd zenon_Hca zenon_Hf9 zenon_H6e zenon_H5f zenon_He8 zenon_H6a zenon_Hc1 zenon_H105 zenon_H178 zenon_H16e zenon_H174 zenon_H189 zenon_H182 zenon_H66 zenon_H17f zenon_He0 zenon_H57 zenon_H18c zenon_H161 zenon_H126 zenon_H15c zenon_Hb2 zenon_Hac zenon_H152 zenon_H142 zenon_H17b zenon_H11a zenon_H169 zenon_H1db zenon_H1d9 zenon_H1f3 zenon_H1f4 zenon_H1e0 zenon_H1e4 zenon_H1ed zenon_H1ec zenon_H1f5 zenon_H1fc zenon_H1c2 zenon_H1d5 zenon_H73 zenon_H1d3 zenon_H1be zenon_H1d2 zenon_H1b6 zenon_H1ff zenon_H299 zenon_H207 zenon_H29c zenon_H109 zenon_H10d zenon_H30 zenon_H2b zenon_H381 zenon_H391 zenon_H78 zenon_H4f zenon_H56 zenon_H39c zenon_H10c zenon_H29e zenon_H37f zenon_H19e zenon_H19f zenon_H1a4 zenon_H47 zenon_H1c3 zenon_H1a8 zenon_H1bf zenon_Hf6 zenon_H1ba zenon_H1b0 zenon_H1aa zenon_H1c8 zenon_H1d8 zenon_H1fe zenon_Ha2 zenon_Ha8 zenon_H2c zenon_H80 zenon_H330 zenon_H32f zenon_H324 zenon_H301 zenon_H2f6 zenon_H2f9 zenon_H25d zenon_H32b zenon_H2f3 zenon_H2ee zenon_H2de zenon_H2e3 zenon_H290 zenon_H242 zenon_H234 zenon_H23a zenon_H23e zenon_H276 zenon_H264 zenon_H321 zenon_H311 zenon_H316 zenon_H31e zenon_H93 zenon_H2fe zenon_H30e zenon_H30b zenon_H2eb zenon_H2e6 zenon_H20a zenon_H204 zenon_H2d7 zenon_H2c7 zenon_H304 zenon_H15 zenon_H337 zenon_H274 zenon_H352 zenon_H33d zenon_H214 zenon_H349 zenon_H27d zenon_H24d zenon_H342 zenon_H260 zenon_H253 zenon_H33c zenon_H27c zenon_H33e zenon_H85 zenon_H29d zenon_H345 zenon_H249 zenon_H9c zenon_H256 zenon_H354 zenon_H288 zenon_H279 zenon_H26a zenon_H22a zenon_H33 zenon_H22b zenon_H26e zenon_H2f1.
% 43.14/43.33 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H226 | zenon_intro zenon_H32c ].
% 43.14/43.33 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H338 ].
% 43.14/43.33 apply (zenon_or_s _ _ zenon_H2c7); [ zenon_intro zenon_H1a | zenon_intro zenon_H2c8 ].
% 43.14/43.33 apply (zenon_L4_); trivial.
% 43.14/43.33 apply (zenon_or_s _ _ zenon_H2c8); [ zenon_intro zenon_H1fd | zenon_intro zenon_H2c9 ].
% 43.14/43.33 apply (zenon_L361_); trivial.
% 43.14/43.33 apply (zenon_or_s _ _ zenon_H2c9); [ zenon_intro zenon_H208 | zenon_intro zenon_H2ca ].
% 43.14/43.33 apply (zenon_L154_); trivial.
% 43.14/43.33 apply (zenon_or_s _ _ zenon_H2ca); [ zenon_intro zenon_H210 | zenon_intro zenon_H2cb ].
% 43.14/43.33 apply (zenon_L156_); trivial.
% 43.14/43.33 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H213 | zenon_intro zenon_H2cc ].
% 43.14/43.33 apply (zenon_L211_); trivial.
% 43.14/43.33 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H21b | zenon_intro zenon_H2cd ].
% 43.14/43.33 apply (zenon_L160_); trivial.
% 43.14/43.33 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H225 | zenon_intro zenon_H2ce ].
% 43.14/43.33 apply (zenon_L161_); trivial.
% 43.14/43.33 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H231 | zenon_intro zenon_H2cf ].
% 43.14/43.33 apply (zenon_L164_); trivial.
% 43.14/43.33 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_H245 | zenon_intro zenon_H2d0 ].
% 43.14/43.33 apply (zenon_L169_); trivial.
% 43.14/43.33 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H2a5 | zenon_intro zenon_H2d1 ].
% 43.14/43.33 apply (zenon_L367_); trivial.
% 43.14/43.33 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H2ae | zenon_intro zenon_H2d2 ].
% 43.14/43.33 apply (zenon_L198_); trivial.
% 43.14/43.33 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H2b0 | zenon_intro zenon_H2d3 ].
% 43.14/43.33 apply (zenon_L199_); trivial.
% 43.14/43.33 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H2b3 | zenon_intro zenon_H2d4 ].
% 43.14/43.33 apply (zenon_L200_); trivial.
% 43.14/43.33 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_H2bc | zenon_intro zenon_H2d5 ].
% 43.14/43.33 apply (zenon_L240_); trivial.
% 43.14/43.33 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2c5 ].
% 43.14/43.33 apply (zenon_L203_); trivial.
% 43.14/43.33 apply (zenon_L241_); trivial.
% 43.14/43.33 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ].
% 43.14/43.33 exact (zenon_H15 zenon_H14).
% 43.14/43.33 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ].
% 43.14/43.33 apply (zenon_L248_); trivial.
% 43.14/43.33 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ].
% 43.14/43.33 apply (zenon_L173_); trivial.
% 43.14/43.33 apply (zenon_L252_); trivial.
% 43.14/43.33 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H25a | zenon_intro zenon_H32d ].
% 43.14/43.33 apply (zenon_L259_); trivial.
% 43.14/43.33 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H328 | zenon_intro zenon_H32e ].
% 43.14/43.33 apply (zenon_L302_); trivial.
% 43.14/43.33 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H2ab | zenon_intro zenon_H31a ].
% 43.14/43.33 apply (zenon_L197_); trivial.
% 43.14/43.33 apply (zenon_L245_); trivial.
% 43.14/43.33 (* end of lemma zenon_L377_ *)
% 43.14/43.33 assert (zenon_L378_ : (~((h3 (op1 (e11) (e10))) = (op2 (h3 (e11)) (h3 (e10))))) -> ((op1 (e11) (e10)) = (e10)) -> ((op2 (e21) (e20)) = (e20)) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> False).
% 43.14/43.33 do 0 intro. intros zenon_H39f zenon_H50 zenon_H99 zenon_H36f zenon_H22b zenon_H2b zenon_H2c.
% 43.14/43.33 cut (((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) = ((h3 (op1 (e11) (e10))) = (op2 (h3 (e11)) (h3 (e10))))).
% 43.14/43.33 intro zenon_D_pnotp.
% 43.14/43.33 apply zenon_H39f.
% 43.14/43.33 rewrite <- zenon_D_pnotp.
% 43.14/43.33 exact zenon_H2b.
% 43.14/43.33 cut (((op2 (op2 (e22) (e22)) (e22)) = (op2 (h3 (e11)) (h3 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H3a0].
% 43.14/43.33 cut (((h3 (e10)) = (h3 (op1 (e11) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H3a1].
% 43.14/43.33 congruence.
% 43.14/43.33 elim (classic ((h3 (op1 (e11) (e10))) = (h3 (op1 (e11) (e10))))); [ zenon_intro zenon_H3a2 | zenon_intro zenon_H3a3 ].
% 43.14/43.33 cut (((h3 (op1 (e11) (e10))) = (h3 (op1 (e11) (e10)))) = ((h3 (e10)) = (h3 (op1 (e11) (e10))))).
% 43.14/43.33 intro zenon_D_pnotp.
% 43.14/43.33 apply zenon_H3a1.
% 43.14/43.33 rewrite <- zenon_D_pnotp.
% 43.14/43.33 exact zenon_H3a2.
% 43.14/43.33 cut (((h3 (op1 (e11) (e10))) = (h3 (op1 (e11) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H3a3].
% 43.14/43.33 cut (((h3 (op1 (e11) (e10))) = (h3 (e10)))); [idtac | apply NNPP; zenon_intro zenon_H3a4].
% 43.14/43.33 congruence.
% 43.14/43.33 cut (((op1 (e11) (e10)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H3a5].
% 43.14/43.33 congruence.
% 43.14/43.33 exact (zenon_H3a5 zenon_H50).
% 43.14/43.33 apply zenon_H3a3. apply refl_equal.
% 43.14/43.33 apply zenon_H3a3. apply refl_equal.
% 43.14/43.33 elim (classic ((op2 (h3 (e11)) (h3 (e10))) = (op2 (h3 (e11)) (h3 (e10))))); [ zenon_intro zenon_H3a6 | zenon_intro zenon_H3a7 ].
% 43.14/43.33 cut (((op2 (h3 (e11)) (h3 (e10))) = (op2 (h3 (e11)) (h3 (e10)))) = ((op2 (op2 (e22) (e22)) (e22)) = (op2 (h3 (e11)) (h3 (e10))))).
% 43.14/43.33 intro zenon_D_pnotp.
% 43.14/43.33 apply zenon_H3a0.
% 43.14/43.33 rewrite <- zenon_D_pnotp.
% 43.14/43.33 exact zenon_H3a6.
% 43.14/43.33 cut (((op2 (h3 (e11)) (h3 (e10))) = (op2 (h3 (e11)) (h3 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H3a7].
% 43.14/43.33 cut (((op2 (h3 (e11)) (h3 (e10))) = (op2 (op2 (e22) (e22)) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H3a8].
% 43.14/43.33 congruence.
% 43.14/43.33 cut (((op2 (e21) (e20)) = (e20)) = ((op2 (h3 (e11)) (h3 (e10))) = (op2 (op2 (e22) (e22)) (e22)))).
% 43.14/43.33 intro zenon_D_pnotp.
% 43.14/43.33 apply zenon_H3a8.
% 43.14/43.33 rewrite <- zenon_D_pnotp.
% 43.14/43.33 exact zenon_H99.
% 43.14/43.33 cut (((e20) = (op2 (op2 (e22) (e22)) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H37c].
% 43.14/43.33 cut (((op2 (e21) (e20)) = (op2 (h3 (e11)) (h3 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H3a9].
% 43.14/43.33 congruence.
% 43.14/43.33 elim (classic ((op2 (h3 (e11)) (h3 (e10))) = (op2 (h3 (e11)) (h3 (e10))))); [ zenon_intro zenon_H3a6 | zenon_intro zenon_H3a7 ].
% 43.14/43.33 cut (((op2 (h3 (e11)) (h3 (e10))) = (op2 (h3 (e11)) (h3 (e10)))) = ((op2 (e21) (e20)) = (op2 (h3 (e11)) (h3 (e10))))).
% 43.14/43.33 intro zenon_D_pnotp.
% 43.14/43.33 apply zenon_H3a9.
% 43.14/43.33 rewrite <- zenon_D_pnotp.
% 43.14/43.33 exact zenon_H3a6.
% 43.14/43.33 cut (((op2 (h3 (e11)) (h3 (e10))) = (op2 (h3 (e11)) (h3 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H3a7].
% 43.14/43.33 cut (((op2 (h3 (e11)) (h3 (e10))) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H3aa].
% 43.14/43.33 congruence.
% 43.14/43.33 cut (((h3 (e10)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H2a].
% 43.14/43.33 cut (((h3 (e11)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H36e].
% 43.14/43.33 congruence.
% 43.14/43.33 apply (zenon_L327_); trivial.
% 43.14/43.33 apply (zenon_L9_); trivial.
% 43.14/43.33 apply zenon_H3a7. apply refl_equal.
% 43.14/43.33 apply zenon_H3a7. apply refl_equal.
% 43.14/43.33 exact (zenon_H37c zenon_H2c).
% 43.14/43.33 apply zenon_H3a7. apply refl_equal.
% 43.14/43.33 apply zenon_H3a7. apply refl_equal.
% 43.14/43.33 (* end of lemma zenon_L378_ *)
% 43.14/43.33 assert (zenon_L379_ : (((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13)))))))) -> (~((h3 (op1 (e11) (e10))) = (op2 (h3 (e11)) (h3 (e10))))) -> ((op2 (e21) (e20)) = (e20)) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> False).
% 43.14/43.33 do 0 intro. intros zenon_Ha7 zenon_H39f zenon_H99 zenon_H36f zenon_H22b zenon_H2b zenon_H2c.
% 43.14/43.33 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H40. zenon_intro zenon_Ha9.
% 43.14/43.33 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_H50. zenon_intro zenon_H28.
% 43.14/43.33 apply (zenon_L378_); trivial.
% 43.14/43.33 (* end of lemma zenon_L379_ *)
% 43.14/43.33 assert (zenon_L380_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (e10))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((op2 (e21) (e20)) = (e20)) -> (~((h3 (op1 (e11) (e10))) = (op2 (h3 (e11)) (h3 (e10))))) -> (~((op1 (e12) (op1 (e12) (e10))) = (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> ((e13) = (op1 (e12) (e12))) -> False).
% 43.14/43.33 do 0 intro. intros zenon_H10d zenon_H21 zenon_H2c zenon_H2b zenon_H22b zenon_H36f zenon_H99 zenon_H39f zenon_Hef zenon_Hb2 zenon_H60 zenon_H48.
% 43.14/43.33 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H20 | zenon_intro zenon_H110 ].
% 43.14/43.33 exact (zenon_H21 zenon_H20).
% 43.14/43.33 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_H50 | zenon_intro zenon_H111 ].
% 43.14/43.33 apply (zenon_L378_); trivial.
% 43.14/43.33 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hf0 | zenon_intro zenon_Hb3 ].
% 43.14/43.33 apply (zenon_L52_); trivial.
% 43.14/43.33 apply (zenon_L35_); trivial.
% 43.14/43.33 (* end of lemma zenon_L380_ *)
% 43.14/43.33 assert (zenon_L381_ : (((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13)))))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (e10))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((op2 (e21) (e20)) = (e20)) -> (~((h3 (op1 (e11) (e10))) = (op2 (h3 (e11)) (h3 (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> ((e13) = (op1 (e12) (e12))) -> False).
% 43.14/43.33 do 0 intro. intros zenon_H112 zenon_H10d zenon_H21 zenon_H2c zenon_H2b zenon_H22b zenon_H36f zenon_H99 zenon_H39f zenon_Hb2 zenon_H60 zenon_H48.
% 43.14/43.33 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H114. zenon_intro zenon_H113.
% 43.14/43.33 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_H67. zenon_intro zenon_Hee.
% 43.14/43.33 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_Hef. zenon_intro zenon_H115.
% 43.14/43.33 apply (zenon_L380_); trivial.
% 43.14/43.33 (* end of lemma zenon_L381_ *)
% 43.14/43.33 assert (zenon_L382_ : ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))))))))))))))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((h3 (op1 (e11) (e10))) = (op2 (h3 (e11)) (h3 (e10))))) -> ((op2 (e21) (e20)) = (e20)) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((e12) = (e13))) -> (~((op1 (e13) (e10)) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((e11) = (e13))) -> False).
% 43.14/43.33 do 0 intro. intros zenon_H142 zenon_Hac zenon_H15b zenon_H6a zenon_He8 zenon_H6f zenon_H5f zenon_H6e zenon_H60 zenon_Hb2 zenon_H39f zenon_H99 zenon_H36f zenon_H22b zenon_H2b zenon_H2c zenon_H21 zenon_H10d zenon_H11a zenon_H123 zenon_H105 zenon_H133 zenon_H126 zenon_He0 zenon_H48 zenon_H57 zenon_Hc4 zenon_Hc1.
% 43.14/43.33 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H26 | zenon_intro zenon_H143 ].
% 43.14/43.33 apply (zenon_L8_); trivial.
% 43.14/43.33 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H144 ].
% 43.14/43.33 apply (zenon_L379_); trivial.
% 43.14/43.33 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H145 ].
% 43.14/43.33 apply (zenon_L34_); trivial.
% 43.14/43.33 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H146 ].
% 43.14/43.33 apply (zenon_L36_); trivial.
% 43.14/43.33 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hcd | zenon_intro zenon_H147 ].
% 43.14/43.33 apply (zenon_L330_); trivial.
% 43.14/43.33 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H148 ].
% 43.14/43.33 apply (zenon_L45_); trivial.
% 43.14/43.33 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_Hde | zenon_intro zenon_H149 ].
% 43.14/43.33 apply (zenon_L46_); trivial.
% 43.14/43.33 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_He6 | zenon_intro zenon_H14a ].
% 43.14/43.33 apply (zenon_L48_); trivial.
% 43.14/43.33 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Heb | zenon_intro zenon_H14b ].
% 43.14/43.33 apply (zenon_L51_); trivial.
% 43.14/43.33 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H112 | zenon_intro zenon_H14c ].
% 43.14/43.33 apply (zenon_L381_); trivial.
% 43.14/43.33 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H11d | zenon_intro zenon_H14d ].
% 43.14/43.33 apply (zenon_L61_); trivial.
% 43.14/43.33 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H11f | zenon_intro zenon_H14e ].
% 43.14/43.33 apply (zenon_L62_); trivial.
% 43.14/43.33 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H122 | zenon_intro zenon_H14f ].
% 43.14/43.33 apply (zenon_L63_); trivial.
% 43.14/43.33 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H132 | zenon_intro zenon_H150 ].
% 43.14/43.33 apply (zenon_L66_); trivial.
% 43.14/43.33 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H13b | zenon_intro zenon_H140 ].
% 43.14/43.33 apply (zenon_L67_); trivial.
% 43.14/43.33 apply (zenon_L70_); trivial.
% 43.14/43.33 (* end of lemma zenon_L382_ *)
% 43.14/43.33 assert (zenon_L383_ : (((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23)))))))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((h3 (op1 (e11) (e10))) = (op2 (h3 (e11)) (h3 (e10))))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (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) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e11) (e10)) = (e11)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (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)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e12) = (e13))) -> (~((e10) = (e12))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))))))))))))))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> False).
% 43.14/43.33 do 0 intro. intros zenon_H1fd zenon_H1fe zenon_H39f zenon_H36f zenon_H22b zenon_H2b zenon_H2c zenon_H10d zenon_H19e zenon_H19f zenon_H1a4 zenon_H47 zenon_H1c3 zenon_H1a8 zenon_H1bf zenon_Hf6 zenon_H1ba zenon_H1b0 zenon_H1aa zenon_H1c8 zenon_H1d8 zenon_H37f zenon_H1b6 zenon_H1d2 zenon_H1be zenon_H1d3 zenon_H73 zenon_H1d5 zenon_H1c2 zenon_H1fc zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H1e4 zenon_H1e0 zenon_H1f4 zenon_H1f3 zenon_H1d9 zenon_H1db zenon_H169 zenon_H11a zenon_H17b zenon_H142 zenon_H152 zenon_Hac zenon_Hb2 zenon_H15c zenon_H126 zenon_H161 zenon_H18c zenon_H57 zenon_He0 zenon_H17f zenon_H66 zenon_H182 zenon_H189 zenon_H174 zenon_H16e zenon_H178 zenon_H105 zenon_Hc1 zenon_H6a zenon_He8 zenon_H5f zenon_H6e zenon_Hf9 zenon_Hca zenon_Hbd zenon_H166 zenon_H16b zenon_H192 zenon_H133 zenon_H42 zenon_H60 zenon_H48 zenon_Hc4.
% 43.14/43.33 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_H7e. zenon_intro zenon_H200.
% 43.14/43.33 apply (zenon_and_s _ _ zenon_H200). zenon_intro zenon_H99. zenon_intro zenon_H1c.
% 43.14/43.33 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H21 | zenon_intro zenon_H1a5 ].
% 43.14/43.33 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H15b | zenon_intro zenon_H1a5 ].
% 43.14/43.33 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H6f | zenon_intro zenon_H193 ].
% 43.14/43.33 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H123 | zenon_intro zenon_H1a5 ].
% 43.14/43.33 apply (zenon_L382_); trivial.
% 43.14/43.33 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H20 | zenon_intro zenon_H1a6 ].
% 43.14/43.33 exact (zenon_H21 zenon_H20).
% 43.14/43.33 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H151 | zenon_intro zenon_H1a7 ].
% 43.14/43.33 apply (zenon_L100_); trivial.
% 43.14/43.33 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H196 | zenon_intro zenon_H198 ].
% 43.14/43.33 apply (zenon_L101_); trivial.
% 43.14/43.33 apply (zenon_L102_); trivial.
% 43.14/43.33 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H17c | zenon_intro zenon_H194 ].
% 43.14/43.33 apply (zenon_L104_); trivial.
% 43.14/43.33 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H18f | zenon_intro zenon_H195 ].
% 43.14/43.33 apply (zenon_L132_); trivial.
% 43.14/43.33 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H119 | zenon_intro zenon_H185 ].
% 43.14/43.33 apply (zenon_L60_); trivial.
% 43.14/43.33 apply (zenon_L133_); trivial.
% 43.14/43.33 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H20 | zenon_intro zenon_H1a6 ].
% 43.14/43.33 exact (zenon_H21 zenon_H20).
% 43.14/43.33 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H151 | zenon_intro zenon_H1a7 ].
% 43.14/43.33 apply (zenon_L100_); trivial.
% 43.14/43.33 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H196 | zenon_intro zenon_H198 ].
% 43.14/43.33 apply (zenon_L101_); trivial.
% 43.14/43.33 apply (zenon_L102_); trivial.
% 43.14/43.33 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H20 | zenon_intro zenon_H1a6 ].
% 43.14/43.33 apply (zenon_L149_); trivial.
% 43.14/43.33 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H151 | zenon_intro zenon_H1a7 ].
% 43.14/43.33 apply (zenon_L100_); trivial.
% 43.14/43.33 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H196 | zenon_intro zenon_H198 ].
% 43.14/43.33 apply (zenon_L101_); trivial.
% 43.14/43.33 apply (zenon_L102_); trivial.
% 43.14/43.33 (* end of lemma zenon_L383_ *)
% 43.14/43.33 assert (zenon_L384_ : (((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13)))))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e20) (e20)) = (e20))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((h3 (op1 (e11) (e10))) = (op2 (h3 (e11)) (h3 (e10))))) -> (~((op2 (e22) (op2 (e22) (e20))) = (e20))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((e23) = (op2 (e22) (e22))) -> False).
% 43.14/43.33 do 0 intro. intros zenon_Ha7 zenon_H29c zenon_H15 zenon_H2b zenon_H22b zenon_H36f zenon_H39f zenon_H28a zenon_H20a zenon_H2c zenon_H33.
% 43.14/43.33 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H40. zenon_intro zenon_Ha9.
% 43.14/43.33 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_H50. zenon_intro zenon_H28.
% 43.14/43.33 apply (zenon_or_s _ _ zenon_H29c); [ zenon_intro zenon_H14 | zenon_intro zenon_H2a1 ].
% 43.14/43.33 exact (zenon_H15 zenon_H14).
% 43.14/43.33 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H99 | zenon_intro zenon_H2a2 ].
% 43.14/43.33 apply (zenon_L378_); trivial.
% 43.14/43.33 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H24a | zenon_intro zenon_H20b ].
% 43.14/43.33 apply (zenon_L188_); trivial.
% 43.14/43.33 apply (zenon_L155_); trivial.
% 43.14/43.33 (* end of lemma zenon_L384_ *)
% 43.14/43.33 assert (zenon_L385_ : (((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13)))))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e20) (e20)) = (e20))) -> ((e13) = (op1 (e12) (e12))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((h3 (op1 (e11) (e10))) = (op2 (h3 (e11)) (h3 (e10))))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op2 (e22) (op2 (e22) (e20))) = (e20))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((e23) = (op2 (e22) (e22))) -> False).
% 43.14/43.33 do 0 intro. intros zenon_H112 zenon_H29c zenon_H15 zenon_H48 zenon_H60 zenon_Hb2 zenon_H39f zenon_H36f zenon_H22b zenon_H2b zenon_H21 zenon_H10d zenon_H28a zenon_H20a zenon_H2c zenon_H33.
% 43.14/43.33 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H114. zenon_intro zenon_H113.
% 43.14/43.33 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_H67. zenon_intro zenon_Hee.
% 43.14/43.33 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_Hef. zenon_intro zenon_H115.
% 43.14/43.33 apply (zenon_or_s _ _ zenon_H29c); [ zenon_intro zenon_H14 | zenon_intro zenon_H2a1 ].
% 43.14/43.33 exact (zenon_H15 zenon_H14).
% 43.14/43.33 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H99 | zenon_intro zenon_H2a2 ].
% 43.14/43.33 apply (zenon_L380_); trivial.
% 43.14/43.33 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H24a | zenon_intro zenon_H20b ].
% 43.14/43.33 apply (zenon_L188_); trivial.
% 43.14/43.33 apply (zenon_L155_); trivial.
% 43.14/43.33 (* end of lemma zenon_L385_ *)
% 43.14/43.33 assert (zenon_L386_ : ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))))))))))))))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> ((e23) = (op2 (e22) (e22))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (op2 (e22) (e20))) = (e20))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (e10))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((h3 (op1 (e11) (e10))) = (op2 (h3 (e11)) (h3 (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((op2 (e20) (e20)) = (e20))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((e12) = (e13))) -> (~((op1 (e13) (e10)) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((e11) = (e13))) -> False).
% 43.14/43.33 do 0 intro. intros zenon_H142 zenon_Hac zenon_H15b zenon_H6a zenon_He8 zenon_H6f zenon_H5f zenon_H6e zenon_H33 zenon_H2c zenon_H20a zenon_H28a zenon_H10d zenon_H21 zenon_H2b zenon_H22b zenon_H36f zenon_H39f zenon_Hb2 zenon_H60 zenon_H15 zenon_H29c zenon_H11a zenon_H123 zenon_H105 zenon_H133 zenon_H126 zenon_He0 zenon_H48 zenon_H57 zenon_Hc4 zenon_Hc1.
% 43.14/43.33 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H26 | zenon_intro zenon_H143 ].
% 43.14/43.33 apply (zenon_L8_); trivial.
% 43.14/43.33 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H144 ].
% 43.14/43.33 apply (zenon_L384_); trivial.
% 43.14/43.33 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H145 ].
% 43.17/43.34 apply (zenon_L34_); trivial.
% 43.17/43.34 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H146 ].
% 43.17/43.34 apply (zenon_L36_); trivial.
% 43.17/43.34 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hcd | zenon_intro zenon_H147 ].
% 43.17/43.34 apply (zenon_L330_); trivial.
% 43.17/43.34 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H148 ].
% 43.17/43.34 apply (zenon_L45_); trivial.
% 43.17/43.34 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_Hde | zenon_intro zenon_H149 ].
% 43.17/43.34 apply (zenon_L46_); trivial.
% 43.17/43.34 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_He6 | zenon_intro zenon_H14a ].
% 43.17/43.34 apply (zenon_L48_); trivial.
% 43.17/43.34 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Heb | zenon_intro zenon_H14b ].
% 43.17/43.34 apply (zenon_L51_); trivial.
% 43.17/43.34 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H112 | zenon_intro zenon_H14c ].
% 43.17/43.34 apply (zenon_L385_); trivial.
% 43.17/43.34 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H11d | zenon_intro zenon_H14d ].
% 43.17/43.34 apply (zenon_L61_); trivial.
% 43.17/43.34 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H11f | zenon_intro zenon_H14e ].
% 43.17/43.34 apply (zenon_L62_); trivial.
% 43.17/43.34 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H122 | zenon_intro zenon_H14f ].
% 43.17/43.34 apply (zenon_L63_); trivial.
% 43.17/43.34 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H132 | zenon_intro zenon_H150 ].
% 43.17/43.34 apply (zenon_L66_); trivial.
% 43.17/43.34 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H13b | zenon_intro zenon_H140 ].
% 43.17/43.34 apply (zenon_L67_); trivial.
% 43.17/43.34 apply (zenon_L70_); trivial.
% 43.17/43.34 (* end of lemma zenon_L386_ *)
% 43.17/43.34 assert (zenon_L387_ : (((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23)))))))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((e23) = (op2 (e22) (e22))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((h3 (op1 (e11) (e10))) = (op2 (h3 (e11)) (h3 (e10))))) -> (~((op2 (e20) (e20)) = (e20))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (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) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e11) (e10)) = (e11)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (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)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e12) = (e13))) -> (~((e10) = (e12))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))))))))))))))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> False).
% 43.17/43.34 do 0 intro. intros zenon_H2a5 zenon_H1fe zenon_H33 zenon_H2c zenon_H20a zenon_H10d zenon_H2b zenon_H22b zenon_H36f zenon_H39f zenon_H15 zenon_H29c zenon_H19e zenon_H19f zenon_H1a4 zenon_H47 zenon_H1c3 zenon_H1a8 zenon_H1bf zenon_Hf6 zenon_H1ba zenon_H1b0 zenon_H1aa zenon_H1c8 zenon_H1d8 zenon_H37f zenon_H1b6 zenon_H1d2 zenon_H1be zenon_H1d3 zenon_H73 zenon_H1d5 zenon_H1c2 zenon_H1fc zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H1e4 zenon_H1e0 zenon_H1f4 zenon_H1f3 zenon_H1d9 zenon_H1db zenon_H169 zenon_H11a zenon_H17b zenon_H142 zenon_H152 zenon_Hac zenon_Hb2 zenon_H15c zenon_H126 zenon_H161 zenon_H18c zenon_H57 zenon_He0 zenon_H17f zenon_H66 zenon_H182 zenon_H189 zenon_H174 zenon_H16e zenon_H178 zenon_H105 zenon_Hc1 zenon_H6a zenon_He8 zenon_H5f zenon_H6e zenon_Hf9 zenon_Hca zenon_Hbd zenon_H166 zenon_H16b zenon_H192 zenon_H133 zenon_H42 zenon_H60 zenon_H48 zenon_Hc4.
% 43.17/43.34 apply (zenon_and_s _ _ zenon_H2a5). zenon_intro zenon_H282. zenon_intro zenon_H2a6.
% 43.17/43.34 apply (zenon_and_s _ _ zenon_H2a6). zenon_intro zenon_H23c. zenon_intro zenon_H248.
% 43.17/43.34 apply (zenon_and_s _ _ zenon_H248). zenon_intro zenon_H28a. zenon_intro zenon_H2a7.
% 43.17/43.34 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H21 | zenon_intro zenon_H1a5 ].
% 43.17/43.34 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H15b | zenon_intro zenon_H1a5 ].
% 43.17/43.34 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H6f | zenon_intro zenon_H193 ].
% 43.17/43.34 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H123 | zenon_intro zenon_H1a5 ].
% 43.17/43.34 apply (zenon_L386_); trivial.
% 43.17/43.34 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H20 | zenon_intro zenon_H1a6 ].
% 43.17/43.34 exact (zenon_H21 zenon_H20).
% 43.17/43.34 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H151 | zenon_intro zenon_H1a7 ].
% 43.17/43.34 apply (zenon_L100_); trivial.
% 43.17/43.34 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H196 | zenon_intro zenon_H198 ].
% 43.17/43.34 apply (zenon_L101_); trivial.
% 43.17/43.34 apply (zenon_L102_); trivial.
% 43.17/43.34 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H17c | zenon_intro zenon_H194 ].
% 43.17/43.34 apply (zenon_L104_); trivial.
% 43.17/43.34 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H18f | zenon_intro zenon_H195 ].
% 43.17/43.34 apply (zenon_L132_); trivial.
% 43.17/43.34 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H119 | zenon_intro zenon_H185 ].
% 43.17/43.34 apply (zenon_L60_); trivial.
% 43.17/43.34 apply (zenon_L133_); trivial.
% 43.17/43.34 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H20 | zenon_intro zenon_H1a6 ].
% 43.17/43.34 exact (zenon_H21 zenon_H20).
% 43.17/43.34 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H151 | zenon_intro zenon_H1a7 ].
% 43.17/43.34 apply (zenon_L100_); trivial.
% 43.17/43.34 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H196 | zenon_intro zenon_H198 ].
% 43.17/43.34 apply (zenon_L101_); trivial.
% 43.17/43.34 apply (zenon_L102_); trivial.
% 43.17/43.34 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H20 | zenon_intro zenon_H1a6 ].
% 43.17/43.34 apply (zenon_L149_); trivial.
% 43.17/43.34 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H151 | zenon_intro zenon_H1a7 ].
% 43.17/43.34 apply (zenon_L100_); trivial.
% 43.17/43.34 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H196 | zenon_intro zenon_H198 ].
% 43.17/43.34 apply (zenon_L101_); trivial.
% 43.17/43.34 apply (zenon_L102_); trivial.
% 43.17/43.34 (* end of lemma zenon_L387_ *)
% 43.17/43.34 assert (zenon_L388_ : ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))))))))))))))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (e21))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))))))))))))))))) -> (~((e10) = (e12))) -> (~((e12) = (e13))) -> (~((e11) = (e12))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (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 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((~((op1 (e11) (e10)) = (e11)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((h3 (op1 (e11) (e10))) = (op2 (h3 (e11)) (h3 (e10))))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((e22) = (e23))) -> (~((op2 (e23) (e20)) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((e21) = (e23))) -> False).
% 43.17/43.34 do 0 intro. intros zenon_H2c7 zenon_H204 zenon_H2de zenon_H2e3 zenon_H23e zenon_H23a zenon_H226 zenon_H234 zenon_H242 zenon_Hc4 zenon_H48 zenon_H60 zenon_H42 zenon_H133 zenon_H192 zenon_H16b zenon_H166 zenon_Hbd zenon_Hca zenon_Hf9 zenon_H6e zenon_H5f zenon_He8 zenon_H6a zenon_Hc1 zenon_H105 zenon_H178 zenon_H16e zenon_H174 zenon_H189 zenon_H182 zenon_H66 zenon_H17f zenon_He0 zenon_H57 zenon_H18c zenon_H161 zenon_H126 zenon_H15c zenon_Hb2 zenon_Hac zenon_H152 zenon_H142 zenon_H17b zenon_H11a zenon_H169 zenon_H1db zenon_H1d9 zenon_H1f3 zenon_H1f4 zenon_H1e0 zenon_H1e4 zenon_H1ed zenon_H1ec zenon_H1f5 zenon_H1fc zenon_H1c2 zenon_H1d5 zenon_H73 zenon_H1d3 zenon_H1be zenon_H1d2 zenon_H1b6 zenon_H37f zenon_H1d8 zenon_H1c8 zenon_H1aa zenon_H1b0 zenon_H1ba zenon_Hf6 zenon_H1bf zenon_H1a8 zenon_H1c3 zenon_H47 zenon_H1a4 zenon_H19f zenon_H19e zenon_H29c zenon_H15 zenon_H39f zenon_H36f zenon_H2b zenon_H10d zenon_H20a zenon_H2c zenon_H1fe zenon_H288 zenon_Ha3 zenon_H264 zenon_H279 zenon_H26a zenon_H22a zenon_H33 zenon_H22b zenon_H26e zenon_H276.
% 43.17/43.34 apply (zenon_or_s _ _ zenon_H2c7); [ zenon_intro zenon_H1a | zenon_intro zenon_H2c8 ].
% 43.17/43.34 apply (zenon_L4_); trivial.
% 43.17/43.34 apply (zenon_or_s _ _ zenon_H2c8); [ zenon_intro zenon_H1fd | zenon_intro zenon_H2c9 ].
% 43.17/43.34 apply (zenon_L383_); trivial.
% 43.17/43.34 apply (zenon_or_s _ _ zenon_H2c9); [ zenon_intro zenon_H208 | zenon_intro zenon_H2ca ].
% 43.17/43.34 apply (zenon_L154_); trivial.
% 43.17/43.34 apply (zenon_or_s _ _ zenon_H2ca); [ zenon_intro zenon_H210 | zenon_intro zenon_H2cb ].
% 43.17/43.34 apply (zenon_L156_); trivial.
% 43.17/43.34 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H213 | zenon_intro zenon_H2cc ].
% 43.17/43.34 apply (zenon_L211_); trivial.
% 43.17/43.34 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H21b | zenon_intro zenon_H2cd ].
% 43.17/43.34 apply (zenon_L160_); trivial.
% 43.17/43.34 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H225 | zenon_intro zenon_H2ce ].
% 43.17/43.34 apply (zenon_L161_); trivial.
% 43.17/43.34 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H231 | zenon_intro zenon_H2cf ].
% 43.17/43.34 apply (zenon_L164_); trivial.
% 43.17/43.34 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_H245 | zenon_intro zenon_H2d0 ].
% 43.17/43.34 apply (zenon_L169_); trivial.
% 43.17/43.34 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H2a5 | zenon_intro zenon_H2d1 ].
% 43.17/43.34 apply (zenon_L387_); trivial.
% 43.17/43.34 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H2ae | zenon_intro zenon_H2d2 ].
% 43.17/43.34 apply (zenon_L198_); trivial.
% 43.17/43.34 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H2b0 | zenon_intro zenon_H2d3 ].
% 43.17/43.34 apply (zenon_L199_); trivial.
% 43.17/43.34 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H2b3 | zenon_intro zenon_H2d4 ].
% 43.17/43.34 apply (zenon_L200_); trivial.
% 43.17/43.34 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_H2bc | zenon_intro zenon_H2d5 ].
% 43.17/43.34 apply (zenon_L202_); trivial.
% 43.17/43.34 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2c5 ].
% 43.17/43.34 apply (zenon_L203_); trivial.
% 43.17/43.34 apply (zenon_L204_); trivial.
% 43.17/43.34 (* end of lemma zenon_L388_ *)
% 43.17/43.34 assert (zenon_L389_ : ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((h3 (op1 (e11) (e10))) = (op2 (h3 (e11)) (h3 (e10))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (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) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e11) (e10)) = (e11)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (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)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e12) = (e13))) -> (~((e10) = (e12))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))))))))))))))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op2 (e21) (e20)) = (e21))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (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))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((e21) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((e22) = (e23))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((op2 (e20) (e20)) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((e20) = (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))))))))))))))))) -> ((~((op2 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> ((~((op2 (e21) (e21)) = (e21)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (~((e20) = (e23))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> False).
% 43.17/43.34 do 0 intro. intros zenon_H337 zenon_H1fe zenon_H10d zenon_H2b zenon_H36f zenon_H39f zenon_H29c zenon_H19e zenon_H19f zenon_H1a4 zenon_H47 zenon_H1c3 zenon_H1a8 zenon_H1bf zenon_Hf6 zenon_H1ba zenon_H1b0 zenon_H1aa zenon_H1c8 zenon_H1d8 zenon_H37f zenon_H1b6 zenon_H1d2 zenon_H1be zenon_H1d3 zenon_H73 zenon_H1d5 zenon_H1c2 zenon_H1fc zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H1e4 zenon_H1e0 zenon_H1f4 zenon_H1f3 zenon_H1d9 zenon_H1db zenon_H169 zenon_H11a zenon_H17b zenon_H142 zenon_H152 zenon_Hac zenon_Hb2 zenon_H15c zenon_H126 zenon_H161 zenon_H18c zenon_H57 zenon_He0 zenon_H17f zenon_H66 zenon_H182 zenon_H189 zenon_H174 zenon_H16e zenon_H178 zenon_H105 zenon_Hc1 zenon_H6a zenon_He8 zenon_H5f zenon_H6e zenon_Hf9 zenon_Hca zenon_Hbd zenon_H166 zenon_H16b zenon_H192 zenon_H133 zenon_H42 zenon_H60 zenon_H48 zenon_Hc4 zenon_H214 zenon_Ha8 zenon_H260 zenon_H253 zenon_H256 zenon_H27c zenon_H24d zenon_H249 zenon_H27d zenon_H85 zenon_Ha2 zenon_H9c zenon_H15 zenon_H276 zenon_H264 zenon_H321 zenon_H311 zenon_H316 zenon_H288 zenon_H31e zenon_H25a zenon_H93 zenon_H2fe zenon_H2f1 zenon_H30e zenon_H22a zenon_H22b zenon_H30b zenon_H2eb zenon_H26a zenon_H2e6 zenon_H20a zenon_H204 zenon_H2d7 zenon_H2c7 zenon_H32f zenon_H324 zenon_H301 zenon_H2f6 zenon_H2f9 zenon_H25d zenon_H32b zenon_H2f3 zenon_H2ee zenon_H2de zenon_H2e3 zenon_H290 zenon_H242 zenon_H234 zenon_H23a zenon_H23e zenon_H304 zenon_H279 zenon_H330 zenon_H80 zenon_H2c zenon_H33 zenon_H26e.
% 43.17/43.34 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H338 ].
% 43.17/43.34 apply (zenon_or_s _ _ zenon_H2c7); [ zenon_intro zenon_H1a | zenon_intro zenon_H2c8 ].
% 43.17/43.34 apply (zenon_L227_); trivial.
% 43.17/43.34 apply (zenon_or_s _ _ zenon_H2c8); [ zenon_intro zenon_H1fd | zenon_intro zenon_H2c9 ].
% 43.17/43.34 apply (zenon_L253_); trivial.
% 43.17/43.34 apply (zenon_or_s _ _ zenon_H2c9); [ zenon_intro zenon_H208 | zenon_intro zenon_H2ca ].
% 43.17/43.34 apply (zenon_L154_); trivial.
% 43.17/43.34 apply (zenon_or_s _ _ zenon_H2ca); [ zenon_intro zenon_H210 | zenon_intro zenon_H2cb ].
% 43.17/43.34 apply (zenon_L156_); trivial.
% 43.17/43.34 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H213 | zenon_intro zenon_H2cc ].
% 43.17/43.34 apply (zenon_L157_); trivial.
% 43.17/43.34 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H21b | zenon_intro zenon_H2cd ].
% 43.17/43.34 apply (zenon_L160_); trivial.
% 43.17/43.34 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H225 | zenon_intro zenon_H2ce ].
% 43.17/43.34 apply (zenon_L255_); trivial.
% 43.17/43.34 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H231 | zenon_intro zenon_H2cf ].
% 43.17/43.34 apply (zenon_L164_); trivial.
% 43.17/43.34 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_H245 | zenon_intro zenon_H2d0 ].
% 43.17/43.34 apply (zenon_L232_); trivial.
% 43.17/43.34 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H2a5 | zenon_intro zenon_H2d1 ].
% 43.17/43.34 apply (zenon_L387_); trivial.
% 43.17/43.34 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H2ae | zenon_intro zenon_H2d2 ].
% 43.17/43.34 apply (zenon_L198_); trivial.
% 43.17/43.34 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H2b0 | zenon_intro zenon_H2d3 ].
% 43.17/43.34 apply (zenon_L199_); trivial.
% 43.17/43.34 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H2b3 | zenon_intro zenon_H2d4 ].
% 43.17/43.34 apply (zenon_L200_); trivial.
% 43.17/43.34 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_H2bc | zenon_intro zenon_H2d5 ].
% 43.17/43.34 apply (zenon_L202_); trivial.
% 43.17/43.34 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2c5 ].
% 43.17/43.34 apply (zenon_L203_); trivial.
% 43.17/43.34 apply (zenon_L204_); trivial.
% 43.17/43.34 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ].
% 43.17/43.34 exact (zenon_H15 zenon_H14).
% 43.17/43.34 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ].
% 43.17/43.34 apply (zenon_L258_); trivial.
% 43.17/43.34 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ].
% 43.17/43.34 apply (zenon_L173_); trivial.
% 43.17/43.34 apply (zenon_L252_); trivial.
% 43.17/43.34 (* end of lemma zenon_L389_ *)
% 43.17/43.34 assert (zenon_L390_ : (~((h3 (op1 (e11) (e11))) = (op2 (h3 (e11)) (h3 (e11))))) -> ((op1 (e11) (e11)) = (e11)) -> ((op2 (e21) (e21)) = (e21)) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> False).
% 43.17/43.34 do 0 intro. intros zenon_H3ab zenon_Hd3 zenon_H219 zenon_H36f zenon_H22b.
% 43.17/43.34 cut (((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) = ((h3 (op1 (e11) (e11))) = (op2 (h3 (e11)) (h3 (e11))))).
% 43.17/43.34 intro zenon_D_pnotp.
% 43.17/43.34 apply zenon_H3ab.
% 43.17/43.34 rewrite <- zenon_D_pnotp.
% 43.17/43.34 exact zenon_H36f.
% 43.17/43.34 cut (((op2 (op2 (e22) (e22)) (op2 (e22) (e22))) = (op2 (h3 (e11)) (h3 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H3ac].
% 43.17/43.34 cut (((h3 (e11)) = (h3 (op1 (e11) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H3ad].
% 43.17/43.34 congruence.
% 43.17/43.34 elim (classic ((h3 (op1 (e11) (e11))) = (h3 (op1 (e11) (e11))))); [ zenon_intro zenon_H3ae | zenon_intro zenon_H3af ].
% 43.17/43.34 cut (((h3 (op1 (e11) (e11))) = (h3 (op1 (e11) (e11)))) = ((h3 (e11)) = (h3 (op1 (e11) (e11))))).
% 43.17/43.34 intro zenon_D_pnotp.
% 43.17/43.34 apply zenon_H3ad.
% 43.17/43.34 rewrite <- zenon_D_pnotp.
% 43.17/43.34 exact zenon_H3ae.
% 43.17/43.34 cut (((h3 (op1 (e11) (e11))) = (h3 (op1 (e11) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H3af].
% 43.17/43.34 cut (((h3 (op1 (e11) (e11))) = (h3 (e11)))); [idtac | apply NNPP; zenon_intro zenon_H3b0].
% 43.17/43.34 congruence.
% 43.17/43.34 cut (((op1 (e11) (e11)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_Hd4].
% 43.17/43.34 congruence.
% 43.17/43.34 exact (zenon_Hd4 zenon_Hd3).
% 43.17/43.34 apply zenon_H3af. apply refl_equal.
% 43.17/43.34 apply zenon_H3af. apply refl_equal.
% 43.17/43.34 elim (classic ((op2 (h3 (e11)) (h3 (e11))) = (op2 (h3 (e11)) (h3 (e11))))); [ zenon_intro zenon_H3b1 | zenon_intro zenon_H3b2 ].
% 43.17/43.34 cut (((op2 (h3 (e11)) (h3 (e11))) = (op2 (h3 (e11)) (h3 (e11)))) = ((op2 (op2 (e22) (e22)) (op2 (e22) (e22))) = (op2 (h3 (e11)) (h3 (e11))))).
% 43.17/43.34 intro zenon_D_pnotp.
% 43.17/43.34 apply zenon_H3ac.
% 43.17/43.34 rewrite <- zenon_D_pnotp.
% 43.17/43.34 exact zenon_H3b1.
% 43.17/43.34 cut (((op2 (h3 (e11)) (h3 (e11))) = (op2 (h3 (e11)) (h3 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H3b2].
% 43.17/43.34 cut (((op2 (h3 (e11)) (h3 (e11))) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22))))); [idtac | apply NNPP; zenon_intro zenon_H3b3].
% 43.17/43.34 congruence.
% 43.17/43.34 cut (((op2 (e21) (e21)) = (e21)) = ((op2 (h3 (e11)) (h3 (e11))) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22))))).
% 43.17/43.34 intro zenon_D_pnotp.
% 43.17/43.34 apply zenon_H3b3.
% 43.17/43.34 rewrite <- zenon_D_pnotp.
% 43.17/43.34 exact zenon_H219.
% 43.17/43.34 cut (((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22))))); [idtac | apply NNPP; zenon_intro zenon_H38b].
% 43.17/43.34 cut (((op2 (e21) (e21)) = (op2 (h3 (e11)) (h3 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H3b4].
% 43.17/43.34 congruence.
% 43.17/43.34 elim (classic ((op2 (h3 (e11)) (h3 (e11))) = (op2 (h3 (e11)) (h3 (e11))))); [ zenon_intro zenon_H3b1 | zenon_intro zenon_H3b2 ].
% 43.17/43.34 cut (((op2 (h3 (e11)) (h3 (e11))) = (op2 (h3 (e11)) (h3 (e11)))) = ((op2 (e21) (e21)) = (op2 (h3 (e11)) (h3 (e11))))).
% 43.17/43.34 intro zenon_D_pnotp.
% 43.17/43.34 apply zenon_H3b4.
% 43.17/43.34 rewrite <- zenon_D_pnotp.
% 43.17/43.34 exact zenon_H3b1.
% 43.17/43.34 cut (((op2 (h3 (e11)) (h3 (e11))) = (op2 (h3 (e11)) (h3 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H3b2].
% 43.17/43.34 cut (((op2 (h3 (e11)) (h3 (e11))) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H3b5].
% 43.17/43.34 congruence.
% 43.17/43.34 cut (((h3 (e11)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H36e].
% 43.17/43.34 cut (((h3 (e11)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H36e].
% 43.17/43.34 congruence.
% 43.17/43.34 apply (zenon_L327_); trivial.
% 43.17/43.34 apply (zenon_L327_); trivial.
% 43.17/43.34 apply zenon_H3b2. apply refl_equal.
% 43.17/43.34 apply zenon_H3b2. apply refl_equal.
% 43.17/43.34 exact (zenon_H38b zenon_H22b).
% 43.17/43.34 apply zenon_H3b2. apply refl_equal.
% 43.17/43.34 apply zenon_H3b2. apply refl_equal.
% 43.17/43.34 (* end of lemma zenon_L390_ *)
% 43.17/43.34 assert (zenon_L391_ : (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (e10)) = (e11))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((op2 (e21) (e21)) = (e21)) -> (~((h3 (op1 (e11) (e11))) = (op2 (h3 (e11)) (h3 (e11))))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> ((e13) = (op1 (e12) (e12))) -> False).
% 43.17/43.34 do 0 intro. intros zenon_H3b6 zenon_H15b zenon_H22b zenon_H36f zenon_H219 zenon_H3ab zenon_H6f zenon_H56 zenon_H57 zenon_H48.
% 43.17/43.34 apply (zenon_or_s _ _ zenon_H3b6); [ zenon_intro zenon_Hcf | zenon_intro zenon_H3b7 ].
% 43.17/43.34 exact (zenon_H15b zenon_Hcf).
% 43.17/43.34 apply (zenon_or_s _ _ zenon_H3b7); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H3b8 ].
% 43.17/43.34 apply (zenon_L390_); trivial.
% 43.17/43.34 apply (zenon_or_s _ _ zenon_H3b8); [ zenon_intro zenon_H72 | zenon_intro zenon_H58 ].
% 43.17/43.34 exact (zenon_H6f zenon_H72).
% 43.17/43.34 apply (zenon_L15_); trivial.
% 43.17/43.34 (* end of lemma zenon_L391_ *)
% 43.17/43.34 assert (zenon_L392_ : ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (e21))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (e10)) = (e11))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((h3 (op1 (e11) (e11))) = (op2 (h3 (e11)) (h3 (e11))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op2 (e21) (e20)) = (e21))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((e10) = (e13))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))))))))))))))))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e10)) = (e10))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (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) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((e12) = (e13))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((e11) = (e12))) -> False).
% 43.17/43.35 do 0 intro. intros zenon_H33 zenon_H22b zenon_H2f9 zenon_H226 zenon_H3b6 zenon_H15b zenon_H36f zenon_H3ab zenon_H56 zenon_H214 zenon_H3b9 zenon_H19e zenon_H19f zenon_H1a4 zenon_H60 zenon_H42 zenon_H192 zenon_H16b zenon_H166 zenon_Hbd zenon_Hca zenon_Hf9 zenon_H6e zenon_H5f zenon_He8 zenon_H6a zenon_Hc1 zenon_H105 zenon_H178 zenon_H16e zenon_H174 zenon_H189 zenon_H182 zenon_H66 zenon_H17f zenon_H18c zenon_H161 zenon_H15c zenon_Hb2 zenon_Hac zenon_H152 zenon_H142 zenon_H17b zenon_H21 zenon_H47 zenon_H1c3 zenon_H1a8 zenon_H1bf zenon_Hf6 zenon_H1ba zenon_H1b0 zenon_H1aa zenon_H1c8 zenon_H1b6 zenon_H1d2 zenon_H1be zenon_H1d3 zenon_H73 zenon_H1d5 zenon_H1c2 zenon_H1d8 zenon_H11a zenon_H133 zenon_H126 zenon_He0 zenon_H48 zenon_H57 zenon_Hc4 zenon_H169.
% 43.17/43.35 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H6f | zenon_intro zenon_H193 ].
% 43.17/43.35 apply (zenon_or_s _ _ zenon_H3b9); [ zenon_intro zenon_H216 | zenon_intro zenon_H3ba ].
% 43.17/43.35 exact (zenon_H214 zenon_H216).
% 43.17/43.35 apply (zenon_or_s _ _ zenon_H3ba); [ zenon_intro zenon_H219 | zenon_intro zenon_H3bb ].
% 43.17/43.35 apply (zenon_L391_); trivial.
% 43.17/43.35 apply (zenon_or_s _ _ zenon_H3bb); [ zenon_intro zenon_H228 | zenon_intro zenon_H233 ].
% 43.17/43.35 exact (zenon_H226 zenon_H228).
% 43.17/43.35 apply (zenon_L221_); trivial.
% 43.17/43.35 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H17c | zenon_intro zenon_H194 ].
% 43.17/43.35 apply (zenon_L104_); trivial.
% 43.17/43.35 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H18f | zenon_intro zenon_H195 ].
% 43.17/43.35 apply (zenon_L132_); trivial.
% 43.17/43.35 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H119 | zenon_intro zenon_H185 ].
% 43.17/43.35 apply (zenon_L60_); trivial.
% 43.17/43.35 apply (zenon_L133_); trivial.
% 43.17/43.35 (* end of lemma zenon_L392_ *)
% 43.17/43.35 assert (zenon_L393_ : ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (e21))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((h3 (op1 (e11) (e11))) = (op2 (h3 (e11)) (h3 (e11))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op2 (e21) (e20)) = (e21))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (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) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e11) (e10)) = (e11)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (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)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e12) = (e13))) -> (~((e10) = (e12))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))))))))))))))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> False).
% 43.17/43.35 do 0 intro. intros zenon_H1fe zenon_H33 zenon_H22b zenon_H2f9 zenon_H226 zenon_H3b6 zenon_H36f zenon_H3ab zenon_H56 zenon_H214 zenon_H3b9 zenon_H19e zenon_H19f zenon_H1a4 zenon_H47 zenon_H1c3 zenon_H1a8 zenon_H1bf zenon_Hf6 zenon_H1ba zenon_H1b0 zenon_H1aa zenon_H1c8 zenon_H1d8 zenon_H37f zenon_H1b6 zenon_H1d2 zenon_H1be zenon_H1d3 zenon_H73 zenon_H1d5 zenon_H1c2 zenon_H1fc zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H1e4 zenon_H1e0 zenon_H1f4 zenon_H1f3 zenon_H1d9 zenon_H1db zenon_H169 zenon_H11a zenon_H17b zenon_H142 zenon_H152 zenon_Hac zenon_Hb2 zenon_H15c zenon_H126 zenon_H161 zenon_H18c zenon_H57 zenon_He0 zenon_H17f zenon_H66 zenon_H182 zenon_H189 zenon_H174 zenon_H16e zenon_H178 zenon_H105 zenon_Hc1 zenon_H6a zenon_He8 zenon_H5f zenon_H6e zenon_Hf9 zenon_Hca zenon_Hbd zenon_H166 zenon_H16b zenon_H192 zenon_H133 zenon_H42 zenon_H60 zenon_H48 zenon_Hc4.
% 43.17/43.35 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H21 | zenon_intro zenon_H1a5 ].
% 43.17/43.35 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H15b | zenon_intro zenon_H1a5 ].
% 43.17/43.35 apply (zenon_L392_); trivial.
% 43.17/43.35 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H20 | zenon_intro zenon_H1a6 ].
% 43.17/43.35 exact (zenon_H21 zenon_H20).
% 43.17/43.35 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H151 | zenon_intro zenon_H1a7 ].
% 43.17/43.35 apply (zenon_L100_); trivial.
% 43.17/43.35 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H196 | zenon_intro zenon_H198 ].
% 43.17/43.35 apply (zenon_L101_); trivial.
% 43.17/43.35 apply (zenon_L102_); trivial.
% 43.17/43.35 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H20 | zenon_intro zenon_H1a6 ].
% 43.17/43.35 apply (zenon_L149_); trivial.
% 43.17/43.35 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H151 | zenon_intro zenon_H1a7 ].
% 43.17/43.35 apply (zenon_L100_); trivial.
% 43.17/43.35 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H196 | zenon_intro zenon_H198 ].
% 43.17/43.35 apply (zenon_L101_); trivial.
% 43.17/43.35 apply (zenon_L102_); trivial.
% 43.17/43.35 (* end of lemma zenon_L393_ *)
% 43.17/43.35 assert (zenon_L394_ : (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))))))))))))))))) -> (~((e10) = (e12))) -> (~((e12) = (e13))) -> (~((e11) = (e12))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (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 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((~((op1 (e11) (e10)) = (e11)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((h3 (op1 (e11) (e11))) = (op2 (h3 (e11)) (h3 (e11))))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (~((e20) = (e23))) -> ((~((op2 (e21) (e21)) = (e21)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((e21) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((e20) = (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))))))))))))))))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e20)) = (e20))) -> ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (e21))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e20)) = (e21)) -> ((~((op2 (e22) (e20)) = (e22)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((e22) = (e23))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((e21) = (e22))) -> False).
% 43.17/43.35 do 0 intro. intros zenon_Hc4 zenon_H48 zenon_H60 zenon_H42 zenon_H133 zenon_H192 zenon_H16b zenon_H166 zenon_Hbd zenon_Hca zenon_Hf9 zenon_H6e zenon_H5f zenon_He8 zenon_H6a zenon_Hc1 zenon_H105 zenon_H178 zenon_H16e zenon_H174 zenon_H189 zenon_H182 zenon_H66 zenon_H17f zenon_He0 zenon_H57 zenon_H18c zenon_H161 zenon_H126 zenon_H15c zenon_Hb2 zenon_Hac zenon_H152 zenon_H142 zenon_H17b zenon_H11a zenon_H169 zenon_H1db zenon_H1d9 zenon_H1f3 zenon_H1f4 zenon_H1e0 zenon_H1e4 zenon_H1ed zenon_H1ec zenon_H1f5 zenon_H1fc zenon_H1c2 zenon_H1d5 zenon_H73 zenon_H1d3 zenon_H1be zenon_H1d2 zenon_H1b6 zenon_H37f zenon_H1d8 zenon_H1c8 zenon_H1aa zenon_H1b0 zenon_H1ba zenon_Hf6 zenon_H1bf zenon_H1a8 zenon_H1c3 zenon_H47 zenon_H1a4 zenon_H19f zenon_H19e zenon_H3b9 zenon_H56 zenon_H3ab zenon_H36f zenon_H3b6 zenon_H1fe zenon_H2c zenon_H80 zenon_H330 zenon_H32f zenon_H324 zenon_H301 zenon_H2f6 zenon_H2f9 zenon_H25d zenon_H32b zenon_H2f3 zenon_H2ee zenon_H2de zenon_H2e3 zenon_H290 zenon_H242 zenon_H234 zenon_H23a zenon_H23e zenon_H276 zenon_H264 zenon_H321 zenon_H311 zenon_H316 zenon_H31e zenon_H93 zenon_H2fe zenon_H30e zenon_H30b zenon_H2eb zenon_H2e6 zenon_H20a zenon_H204 zenon_H2d7 zenon_H2c7 zenon_H304 zenon_H15 zenon_H337 zenon_H352 zenon_H33d zenon_H24d zenon_H349 zenon_H27d zenon_H342 zenon_H260 zenon_H253 zenon_H33c zenon_H27c zenon_H33e zenon_H85 zenon_H214 zenon_H29d zenon_H345 zenon_H249 zenon_H9c zenon_H256 zenon_H309 zenon_H354 zenon_H288 zenon_H279 zenon_H26a zenon_H22a zenon_H33 zenon_H22b zenon_H26e zenon_H2f1.
% 43.17/43.35 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H226 | zenon_intro zenon_H32c ].
% 43.17/43.35 apply (zenon_L393_); trivial.
% 43.17/43.35 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H25a | zenon_intro zenon_H32d ].
% 43.17/43.35 apply (zenon_L230_); trivial.
% 43.17/43.35 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H328 | zenon_intro zenon_H32e ].
% 43.17/43.35 apply (zenon_L296_); trivial.
% 43.17/43.35 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H2ab | zenon_intro zenon_H31a ].
% 43.17/43.35 apply (zenon_L197_); trivial.
% 43.17/43.35 apply (zenon_L245_); trivial.
% 43.17/43.35 (* end of lemma zenon_L394_ *)
% 43.17/43.35 assert (zenon_L395_ : ((~((op2 (e21) (e20)) = (e21)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> ((~((op2 (e22) (e20)) = (e22)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e21) (e21)) = (e21)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((h3 (op1 (e11) (e11))) = (op2 (h3 (e11)) (h3 (e11))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (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) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e11) (e10)) = (e11)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (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)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e12) = (e13))) -> (~((e10) = (e12))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))))))))))))))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((e21) = (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e22) = (e23))) -> (~((e20) = (e22))) -> ((op2 (e20) (e20)) = (e21)) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))))))))))))))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((e21) = (e23))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (~((e20) = (e23))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> False).
% 43.17/43.35 do 0 intro. intros zenon_H33b zenon_H354 zenon_H256 zenon_H9c zenon_H249 zenon_H345 zenon_H29d zenon_H85 zenon_H33e zenon_H27c zenon_H33c zenon_H253 zenon_H260 zenon_H342 zenon_H27d zenon_H349 zenon_H24d zenon_H33d zenon_H352 zenon_H337 zenon_H30b zenon_H30e zenon_H93 zenon_H31e zenon_H316 zenon_H311 zenon_H321 zenon_H324 zenon_H32f zenon_H330 zenon_H1fe zenon_H3b6 zenon_H36f zenon_H3ab zenon_H56 zenon_H3b9 zenon_H19e zenon_H19f zenon_H1a4 zenon_H47 zenon_H1c3 zenon_H1a8 zenon_H1bf zenon_Hf6 zenon_H1ba zenon_H1b0 zenon_H1aa zenon_H1c8 zenon_H1d8 zenon_H37f zenon_H1b6 zenon_H1d2 zenon_H1be zenon_H1d3 zenon_H73 zenon_H1d5 zenon_H1c2 zenon_H1fc zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H1e4 zenon_H1e0 zenon_H1f4 zenon_H1f3 zenon_H1d9 zenon_H1db zenon_H169 zenon_H11a zenon_H17b zenon_H142 zenon_H152 zenon_Hac zenon_Hb2 zenon_H15c zenon_H126 zenon_H161 zenon_H18c zenon_H57 zenon_He0 zenon_H17f zenon_H66 zenon_H182 zenon_H189 zenon_H174 zenon_H16e zenon_H178 zenon_H105 zenon_Hc1 zenon_H6a zenon_He8 zenon_H5f zenon_H6e zenon_Hf9 zenon_Hca zenon_Hbd zenon_H166 zenon_H16b zenon_H192 zenon_H133 zenon_H42 zenon_H60 zenon_H48 zenon_Hc4 zenon_H15 zenon_H2f1 zenon_H22b zenon_H22a zenon_H26a zenon_H279 zenon_H288 zenon_H304 zenon_H309 zenon_H2c7 zenon_H2d7 zenon_H204 zenon_H20a zenon_H23a zenon_H290 zenon_H2e3 zenon_H2eb zenon_H2e6 zenon_H2de zenon_H2ee zenon_H2f3 zenon_H23e zenon_H301 zenon_H2f6 zenon_H2f9 zenon_H2fe zenon_H25d zenon_H234 zenon_H242 zenon_H264 zenon_H276 zenon_H32b zenon_H80 zenon_H2c zenon_H33 zenon_H26e.
% 43.17/43.35 apply (zenon_or_s _ _ zenon_H33b); [ zenon_intro zenon_H214 | zenon_intro zenon_H338 ].
% 43.17/43.35 apply (zenon_L394_); trivial.
% 43.17/43.35 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ].
% 43.17/43.35 exact (zenon_H15 zenon_H14).
% 43.17/43.35 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ].
% 43.17/43.35 apply (zenon_L246_); trivial.
% 43.17/43.35 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ].
% 43.17/43.35 apply (zenon_L173_); trivial.
% 43.17/43.35 apply (zenon_L252_); trivial.
% 43.17/43.35 (* end of lemma zenon_L395_ *)
% 43.17/43.35 assert (zenon_L396_ : (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((h3 (op1 (e11) (e11))) = (op2 (h3 (e11)) (h3 (e11))))) -> ((op2 (e21) (e21)) = (e21)) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op1 (e11) (e10)) = (e11))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((e10) = (e13))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))))))))))))))))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e10)) = (e10))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (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) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((e12) = (e13))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((e11) = (e12))) -> False).
% 43.17/43.35 do 0 intro. intros zenon_H56 zenon_H3ab zenon_H219 zenon_H36f zenon_H22b zenon_H15b zenon_H3b6 zenon_H19e zenon_H19f zenon_H1a4 zenon_H60 zenon_H42 zenon_H192 zenon_H16b zenon_H166 zenon_Hbd zenon_Hca zenon_Hf9 zenon_H6e zenon_H5f zenon_He8 zenon_H6a zenon_Hc1 zenon_H105 zenon_H178 zenon_H16e zenon_H174 zenon_H189 zenon_H182 zenon_H66 zenon_H17f zenon_H18c zenon_H161 zenon_H15c zenon_Hb2 zenon_Hac zenon_H152 zenon_H142 zenon_H17b zenon_H21 zenon_H47 zenon_H1c3 zenon_H1a8 zenon_H1bf zenon_Hf6 zenon_H1ba zenon_H1b0 zenon_H1aa zenon_H1c8 zenon_H1b6 zenon_H1d2 zenon_H1be zenon_H1d3 zenon_H73 zenon_H1d5 zenon_H1c2 zenon_H1d8 zenon_H11a zenon_H133 zenon_H126 zenon_He0 zenon_H48 zenon_H57 zenon_Hc4 zenon_H169.
% 43.17/43.35 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H6f | zenon_intro zenon_H193 ].
% 43.17/43.35 apply (zenon_L391_); trivial.
% 43.17/43.35 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H17c | zenon_intro zenon_H194 ].
% 43.17/43.35 apply (zenon_L104_); trivial.
% 43.17/43.35 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H18f | zenon_intro zenon_H195 ].
% 43.17/43.35 apply (zenon_L132_); trivial.
% 43.17/43.35 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H119 | zenon_intro zenon_H185 ].
% 43.17/43.35 apply (zenon_L60_); trivial.
% 43.17/43.35 apply (zenon_L133_); trivial.
% 43.17/43.35 (* end of lemma zenon_L396_ *)
% 43.17/43.35 assert (zenon_L397_ : ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((h3 (op1 (e11) (e11))) = (op2 (h3 (e11)) (h3 (e11))))) -> ((op2 (e21) (e21)) = (e21)) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (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) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e11) (e10)) = (e11)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (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)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e12) = (e13))) -> (~((e10) = (e12))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))))))))))))))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> False).
% 43.17/43.35 do 0 intro. intros zenon_H1fe zenon_H56 zenon_H3ab zenon_H219 zenon_H36f zenon_H22b zenon_H3b6 zenon_H19e zenon_H19f zenon_H1a4 zenon_H47 zenon_H1c3 zenon_H1a8 zenon_H1bf zenon_Hf6 zenon_H1ba zenon_H1b0 zenon_H1aa zenon_H1c8 zenon_H1d8 zenon_H37f zenon_H1b6 zenon_H1d2 zenon_H1be zenon_H1d3 zenon_H73 zenon_H1d5 zenon_H1c2 zenon_H1fc zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H1e4 zenon_H1e0 zenon_H1f4 zenon_H1f3 zenon_H1d9 zenon_H1db zenon_H169 zenon_H11a zenon_H17b zenon_H142 zenon_H152 zenon_Hac zenon_Hb2 zenon_H15c zenon_H126 zenon_H161 zenon_H18c zenon_H57 zenon_He0 zenon_H17f zenon_H66 zenon_H182 zenon_H189 zenon_H174 zenon_H16e zenon_H178 zenon_H105 zenon_Hc1 zenon_H6a zenon_He8 zenon_H5f zenon_H6e zenon_Hf9 zenon_Hca zenon_Hbd zenon_H166 zenon_H16b zenon_H192 zenon_H133 zenon_H42 zenon_H60 zenon_H48 zenon_Hc4.
% 43.17/43.35 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H21 | zenon_intro zenon_H1a5 ].
% 43.17/43.35 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H15b | zenon_intro zenon_H1a5 ].
% 43.17/43.35 apply (zenon_L396_); trivial.
% 43.17/43.35 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H20 | zenon_intro zenon_H1a6 ].
% 43.17/43.35 exact (zenon_H21 zenon_H20).
% 43.17/43.35 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H151 | zenon_intro zenon_H1a7 ].
% 43.17/43.35 apply (zenon_L100_); trivial.
% 43.17/43.35 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H196 | zenon_intro zenon_H198 ].
% 43.17/43.35 apply (zenon_L101_); trivial.
% 43.17/43.35 apply (zenon_L102_); trivial.
% 43.17/43.35 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H20 | zenon_intro zenon_H1a6 ].
% 43.17/43.35 apply (zenon_L149_); trivial.
% 43.17/43.35 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H151 | zenon_intro zenon_H1a7 ].
% 43.17/43.35 apply (zenon_L100_); trivial.
% 43.17/43.35 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H196 | zenon_intro zenon_H198 ].
% 43.17/43.35 apply (zenon_L101_); trivial.
% 43.17/43.35 apply (zenon_L102_); trivial.
% 43.17/43.35 (* end of lemma zenon_L397_ *)
% 43.17/43.35 assert (zenon_L398_ : ((~((op2 (e21) (e20)) = (e21)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> ((~((op2 (e22) (e20)) = (e22)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e21) (e21)) = (e21)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((h3 (op1 (e11) (e11))) = (op2 (h3 (e11)) (h3 (e11))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (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) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e11) (e10)) = (e11)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (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)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e12) = (e13))) -> (~((e10) = (e12))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))))))))))))))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((e21) = (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e22) = (e23))) -> (~((e20) = (e22))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))))))))))))))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e23) (e23)) = (e21)) -> (~((e21) = (e23))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (~((e20) = (e23))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> False).
% 43.17/43.35 do 0 intro. intros zenon_H33b zenon_H354 zenon_H256 zenon_H9c zenon_H249 zenon_H345 zenon_H29d zenon_H85 zenon_H33e zenon_H27c zenon_H33c zenon_H253 zenon_H260 zenon_H342 zenon_H24d zenon_H27d zenon_H349 zenon_H33d zenon_H352 zenon_H337 zenon_H25d zenon_H2f9 zenon_H2f6 zenon_H301 zenon_H324 zenon_H32f zenon_H330 zenon_Ha8 zenon_Ha2 zenon_H1fe zenon_H3b6 zenon_H36f zenon_H3ab zenon_H56 zenon_H3b9 zenon_H19e zenon_H19f zenon_H1a4 zenon_H47 zenon_H1c3 zenon_H1a8 zenon_H1bf zenon_Hf6 zenon_H1ba zenon_H1b0 zenon_H1aa zenon_H1c8 zenon_H1d8 zenon_H37f zenon_H1b6 zenon_H1d2 zenon_H1be zenon_H1d3 zenon_H73 zenon_H1d5 zenon_H1c2 zenon_H1fc zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H1e4 zenon_H1e0 zenon_H1f4 zenon_H1f3 zenon_H1d9 zenon_H1db zenon_H169 zenon_H11a zenon_H17b zenon_H142 zenon_H152 zenon_Hac zenon_Hb2 zenon_H15c zenon_H126 zenon_H161 zenon_H18c zenon_H57 zenon_He0 zenon_H17f zenon_H66 zenon_H182 zenon_H189 zenon_H174 zenon_H16e zenon_H178 zenon_H105 zenon_Hc1 zenon_H6a zenon_He8 zenon_H5f zenon_H6e zenon_Hf9 zenon_Hca zenon_Hbd zenon_H166 zenon_H16b zenon_H192 zenon_H133 zenon_H42 zenon_H60 zenon_H48 zenon_Hc4 zenon_H15 zenon_H2f1 zenon_H22b zenon_H22a zenon_H26a zenon_H279 zenon_H288 zenon_H304 zenon_H2c7 zenon_H2d7 zenon_H204 zenon_H20a zenon_H2e6 zenon_H2eb zenon_H30b zenon_H30e zenon_H2fe zenon_H93 zenon_H31e zenon_H316 zenon_H311 zenon_H321 zenon_H264 zenon_H274 zenon_H276 zenon_H23e zenon_H23a zenon_H234 zenon_H242 zenon_H290 zenon_H2e3 zenon_H2de zenon_H2ee zenon_H2f3 zenon_H32b zenon_H80 zenon_H2c zenon_H33 zenon_H26e.
% 43.17/43.35 apply (zenon_or_s _ _ zenon_H33b); [ zenon_intro zenon_H214 | zenon_intro zenon_H338 ].
% 43.17/43.35 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H226 | zenon_intro zenon_H32c ].
% 43.17/43.35 apply (zenon_L393_); trivial.
% 43.17/43.35 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H25a | zenon_intro zenon_H32d ].
% 43.17/43.35 apply (zenon_L259_); trivial.
% 43.17/43.35 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H328 | zenon_intro zenon_H32e ].
% 43.17/43.35 apply (zenon_L302_); trivial.
% 43.17/43.35 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H2ab | zenon_intro zenon_H31a ].
% 43.17/43.35 apply (zenon_L197_); trivial.
% 43.17/43.35 apply (zenon_L245_); trivial.
% 43.17/43.35 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ].
% 43.17/43.35 exact (zenon_H15 zenon_H14).
% 43.17/43.35 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ].
% 43.17/43.35 apply (zenon_L248_); trivial.
% 43.17/43.35 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ].
% 43.17/43.35 apply (zenon_L173_); trivial.
% 43.17/43.35 apply (zenon_L252_); trivial.
% 43.17/43.35 (* end of lemma zenon_L398_ *)
% 43.17/43.35 assert (zenon_L399_ : (~((h3 (op1 (e11) (e12))) = (op2 (h3 (e11)) (h3 (e12))))) -> ((op1 (e11) (e12)) = (e12)) -> ((op2 (e21) (e22)) = (e22)) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e12)) = (e22)) -> False).
% 43.17/43.35 do 0 intro. intros zenon_H3bc zenon_H67 zenon_H23c zenon_H36f zenon_H22b zenon_H381.
% 43.17/43.35 cut (((h3 (e12)) = (e22)) = ((h3 (op1 (e11) (e12))) = (op2 (h3 (e11)) (h3 (e12))))).
% 43.17/43.35 intro zenon_D_pnotp.
% 43.17/43.35 apply zenon_H3bc.
% 43.17/43.35 rewrite <- zenon_D_pnotp.
% 43.17/43.35 exact zenon_H381.
% 43.17/43.35 cut (((e22) = (op2 (h3 (e11)) (h3 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H3bd].
% 43.17/43.35 cut (((h3 (e12)) = (h3 (op1 (e11) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H3be].
% 43.17/43.35 congruence.
% 43.17/43.35 elim (classic ((h3 (op1 (e11) (e12))) = (h3 (op1 (e11) (e12))))); [ zenon_intro zenon_H3bf | zenon_intro zenon_H3c0 ].
% 43.17/43.35 cut (((h3 (op1 (e11) (e12))) = (h3 (op1 (e11) (e12)))) = ((h3 (e12)) = (h3 (op1 (e11) (e12))))).
% 43.17/43.35 intro zenon_D_pnotp.
% 43.17/43.35 apply zenon_H3be.
% 43.17/43.35 rewrite <- zenon_D_pnotp.
% 43.17/43.35 exact zenon_H3bf.
% 43.17/43.35 cut (((h3 (op1 (e11) (e12))) = (h3 (op1 (e11) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H3c0].
% 43.17/43.35 cut (((h3 (op1 (e11) (e12))) = (h3 (e12)))); [idtac | apply NNPP; zenon_intro zenon_H3c1].
% 43.17/43.35 congruence.
% 43.17/43.35 cut (((op1 (e11) (e12)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H3c2].
% 43.17/43.35 congruence.
% 43.17/43.35 exact (zenon_H3c2 zenon_H67).
% 43.17/43.35 apply zenon_H3c0. apply refl_equal.
% 43.17/43.35 apply zenon_H3c0. apply refl_equal.
% 43.17/43.35 elim (classic ((op2 (h3 (e11)) (h3 (e12))) = (op2 (h3 (e11)) (h3 (e12))))); [ zenon_intro zenon_H3c3 | zenon_intro zenon_H3c4 ].
% 43.17/43.35 cut (((op2 (h3 (e11)) (h3 (e12))) = (op2 (h3 (e11)) (h3 (e12)))) = ((e22) = (op2 (h3 (e11)) (h3 (e12))))).
% 43.17/43.35 intro zenon_D_pnotp.
% 43.17/43.35 apply zenon_H3bd.
% 43.17/43.35 rewrite <- zenon_D_pnotp.
% 43.17/43.35 exact zenon_H3c3.
% 43.17/43.35 cut (((op2 (h3 (e11)) (h3 (e12))) = (op2 (h3 (e11)) (h3 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H3c4].
% 43.17/43.35 cut (((op2 (h3 (e11)) (h3 (e12))) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H3c5].
% 43.17/43.35 congruence.
% 43.17/43.35 cut (((op2 (e21) (e22)) = (e22)) = ((op2 (h3 (e11)) (h3 (e12))) = (e22))).
% 43.17/43.35 intro zenon_D_pnotp.
% 43.17/43.35 apply zenon_H3c5.
% 43.17/43.35 rewrite <- zenon_D_pnotp.
% 43.17/43.35 exact zenon_H23c.
% 43.17/43.35 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H201].
% 43.17/43.35 cut (((op2 (e21) (e22)) = (op2 (h3 (e11)) (h3 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H3c6].
% 43.17/43.35 congruence.
% 43.17/43.35 elim (classic ((op2 (h3 (e11)) (h3 (e12))) = (op2 (h3 (e11)) (h3 (e12))))); [ zenon_intro zenon_H3c3 | zenon_intro zenon_H3c4 ].
% 43.17/43.35 cut (((op2 (h3 (e11)) (h3 (e12))) = (op2 (h3 (e11)) (h3 (e12)))) = ((op2 (e21) (e22)) = (op2 (h3 (e11)) (h3 (e12))))).
% 43.17/43.35 intro zenon_D_pnotp.
% 43.17/43.35 apply zenon_H3c6.
% 43.17/43.35 rewrite <- zenon_D_pnotp.
% 43.17/43.35 exact zenon_H3c3.
% 43.17/43.35 cut (((op2 (h3 (e11)) (h3 (e12))) = (op2 (h3 (e11)) (h3 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H3c4].
% 43.17/43.35 cut (((op2 (h3 (e11)) (h3 (e12))) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H3c7].
% 43.17/43.35 congruence.
% 43.17/43.35 cut (((h3 (e12)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H38e].
% 43.17/43.35 cut (((h3 (e11)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H36e].
% 43.17/43.35 congruence.
% 43.17/43.35 apply (zenon_L327_); trivial.
% 43.17/43.35 exact (zenon_H38e zenon_H381).
% 43.17/43.35 apply zenon_H3c4. apply refl_equal.
% 43.17/43.35 apply zenon_H3c4. apply refl_equal.
% 43.17/43.35 apply zenon_H201. apply refl_equal.
% 43.17/43.35 apply zenon_H3c4. apply refl_equal.
% 43.17/43.35 apply zenon_H3c4. apply refl_equal.
% 43.17/43.35 (* end of lemma zenon_L399_ *)
% 43.17/43.35 assert (zenon_L400_ : (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((e10) = (e13))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e12) (e10)) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (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)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13)))))))) -> ((h3 (e12)) = (e22)) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((op2 (e21) (e22)) = (e22)) -> (~((h3 (op1 (e11) (e12))) = (op2 (h3 (e11)) (h3 (e12))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((e13) = (op1 (e12) (e12))) -> False).
% 43.17/43.35 do 0 intro. intros zenon_H1f4 zenon_H11c zenon_H1e0 zenon_He8 zenon_H1e4 zenon_H47 zenon_H1c2 zenon_H11a zenon_H1c3 zenon_H1a8 zenon_H1b6 zenon_H42 zenon_H1bf zenon_Hf6 zenon_H57 zenon_H1ba zenon_H1be zenon_H73 zenon_H1b0 zenon_He0 zenon_H161 zenon_H169 zenon_Hbd zenon_H166 zenon_H1b1 zenon_H1aa zenon_Hac zenon_H1c8 zenon_Ha7 zenon_H381 zenon_H22b zenon_H36f zenon_H23c zenon_H3bc zenon_H6e zenon_H60 zenon_H5f zenon_H6f zenon_H66 zenon_H6a zenon_H48.
% 43.17/43.35 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H1df | zenon_intro zenon_H1fa ].
% 43.17/43.35 apply (zenon_L142_); trivial.
% 43.17/43.35 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H18f | zenon_intro zenon_H1fb ].
% 43.17/43.35 apply (zenon_L117_); trivial.
% 43.17/43.35 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H67 | zenon_intro zenon_H68 ].
% 43.17/43.35 apply (zenon_L399_); trivial.
% 43.17/43.35 apply (zenon_L21_); trivial.
% 43.17/43.35 (* end of lemma zenon_L400_ *)
% 43.17/43.35 assert (zenon_L401_ : (((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13)))))))) -> (~((h3 (op1 (e11) (e12))) = (op2 (h3 (e11)) (h3 (e12))))) -> ((op2 (e21) (e22)) = (e22)) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e12)) = (e22)) -> False).
% 43.17/43.35 do 0 intro. intros zenon_H112 zenon_H3bc zenon_H23c zenon_H36f zenon_H22b zenon_H381.
% 43.17/43.35 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H114. zenon_intro zenon_H113.
% 43.17/43.35 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_H67. zenon_intro zenon_Hee.
% 43.17/43.35 apply (zenon_L399_); trivial.
% 43.17/43.35 (* end of lemma zenon_L401_ *)
% 43.17/43.35 assert (zenon_L402_ : ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))))))))))))))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (e12))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((e11) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e12)) = (e12))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> ((h3 (e12)) = (e22)) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((op2 (e21) (e22)) = (e22)) -> (~((h3 (op1 (e11) (e12))) = (op2 (h3 (e11)) (h3 (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e13) (e10)) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((e11) = (e13))) -> False).
% 43.17/43.35 do 0 intro. intros zenon_H142 zenon_H66 zenon_H1c8 zenon_H1aa zenon_H1b1 zenon_H166 zenon_Hbd zenon_H169 zenon_H161 zenon_H1b0 zenon_H73 zenon_H1be zenon_H1ba zenon_Hf6 zenon_H1bf zenon_H42 zenon_H1b6 zenon_H1a8 zenon_H1c3 zenon_H1c2 zenon_H47 zenon_H1e4 zenon_H1e0 zenon_H11c zenon_H1f4 zenon_Hac zenon_Hb2 zenon_H15b zenon_H6a zenon_He8 zenon_H6f zenon_H5f zenon_H60 zenon_H6e zenon_H381 zenon_H22b zenon_H36f zenon_H23c zenon_H3bc zenon_H11a zenon_H123 zenon_H105 zenon_H133 zenon_H126 zenon_He0 zenon_H48 zenon_H57 zenon_Hc4 zenon_Hc1.
% 43.17/43.35 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H26 | zenon_intro zenon_H143 ].
% 43.17/43.35 apply (zenon_L8_); trivial.
% 43.17/43.35 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H144 ].
% 43.17/43.35 apply (zenon_L400_); trivial.
% 43.17/43.35 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H145 ].
% 43.17/43.35 apply (zenon_L34_); trivial.
% 43.17/43.35 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H146 ].
% 43.17/43.35 apply (zenon_L36_); trivial.
% 43.17/43.35 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hcd | zenon_intro zenon_H147 ].
% 43.17/43.35 apply (zenon_L330_); trivial.
% 43.17/43.35 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H148 ].
% 43.17/43.35 apply (zenon_L45_); trivial.
% 43.17/43.35 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_Hde | zenon_intro zenon_H149 ].
% 43.17/43.35 apply (zenon_L46_); trivial.
% 43.17/43.35 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_He6 | zenon_intro zenon_H14a ].
% 43.17/43.35 apply (zenon_L48_); trivial.
% 43.17/43.35 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Heb | zenon_intro zenon_H14b ].
% 43.17/43.35 apply (zenon_L51_); trivial.
% 43.17/43.35 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H112 | zenon_intro zenon_H14c ].
% 43.17/43.35 apply (zenon_L401_); trivial.
% 43.17/43.35 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H11d | zenon_intro zenon_H14d ].
% 43.17/43.35 apply (zenon_L61_); trivial.
% 43.17/43.35 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H11f | zenon_intro zenon_H14e ].
% 43.17/43.35 apply (zenon_L62_); trivial.
% 43.17/43.35 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H122 | zenon_intro zenon_H14f ].
% 43.17/43.35 apply (zenon_L63_); trivial.
% 43.17/43.35 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H132 | zenon_intro zenon_H150 ].
% 43.17/43.35 apply (zenon_L66_); trivial.
% 43.17/43.35 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H13b | zenon_intro zenon_H140 ].
% 43.17/43.35 apply (zenon_L67_); trivial.
% 43.17/43.35 apply (zenon_L70_); trivial.
% 43.17/43.35 (* end of lemma zenon_L402_ *)
% 43.17/43.35 assert (zenon_L403_ : ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((h3 (op1 (e11) (e12))) = (op2 (h3 (e11)) (h3 (e12))))) -> ((op2 (e21) (e22)) = (e22)) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e12)) = (e22)) -> (~((op1 (e11) (e12)) = (e11))) -> (~((op1 (e11) (e10)) = (e11))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (e10))) -> (~((e11) = (e12))) -> (~((e12) = (e13))) -> (~((e10) = (e12))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))))))))))))))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> False).
% 43.17/43.35 do 0 intro. intros zenon_H1a4 zenon_H3bc zenon_H23c zenon_H36f zenon_H22b zenon_H381 zenon_H6f zenon_H15b zenon_H1f4 zenon_H11c zenon_H1e0 zenon_H1e4 zenon_H47 zenon_H1c2 zenon_H1c3 zenon_H1a8 zenon_H1b6 zenon_H1bf zenon_Hf6 zenon_H1ba zenon_H1be zenon_H73 zenon_H1b0 zenon_H1b1 zenon_H1aa zenon_H1c8 zenon_H21 zenon_H169 zenon_H11a zenon_H17b zenon_H142 zenon_H152 zenon_Hac zenon_Hb2 zenon_H15c zenon_H126 zenon_H161 zenon_H18c zenon_H57 zenon_He0 zenon_H17f zenon_H66 zenon_H182 zenon_H189 zenon_H174 zenon_H16e zenon_H178 zenon_H105 zenon_Hc1 zenon_H6a zenon_He8 zenon_H5f zenon_H6e zenon_Hf9 zenon_Hca zenon_Hbd zenon_H166 zenon_H16b zenon_H192 zenon_H133 zenon_H42 zenon_H60 zenon_H48 zenon_Hc4.
% 43.17/43.35 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H123 | zenon_intro zenon_H1a5 ].
% 43.17/43.35 apply (zenon_L402_); trivial.
% 43.17/43.35 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H20 | zenon_intro zenon_H1a6 ].
% 43.17/43.35 exact (zenon_H21 zenon_H20).
% 43.17/43.35 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H151 | zenon_intro zenon_H1a7 ].
% 43.17/43.35 apply (zenon_L100_); trivial.
% 43.17/43.35 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H196 | zenon_intro zenon_H198 ].
% 43.17/43.35 apply (zenon_L101_); trivial.
% 43.17/43.35 apply (zenon_L102_); trivial.
% 43.17/43.35 (* end of lemma zenon_L403_ *)
% 43.17/43.35 assert (zenon_L404_ : ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((h3 (e12)) = (e22)) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((op2 (e21) (e22)) = (e22)) -> (~((h3 (op1 (e11) (e12))) = (op2 (h3 (e11)) (h3 (e12))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (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) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e11) (e10)) = (e11)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (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)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e12) = (e13))) -> (~((e10) = (e12))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))))))))))))))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> False).
% 43.17/43.36 do 0 intro. intros zenon_H1fe zenon_H381 zenon_H22b zenon_H36f zenon_H23c zenon_H3bc zenon_H19e zenon_H19f zenon_H1a4 zenon_H47 zenon_H1c3 zenon_H1a8 zenon_H1bf zenon_Hf6 zenon_H1ba zenon_H1b0 zenon_H1aa zenon_H1c8 zenon_H1d8 zenon_H37f zenon_H1b6 zenon_H1d2 zenon_H1be zenon_H1d3 zenon_H73 zenon_H1d5 zenon_H1c2 zenon_H1fc zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H1e4 zenon_H1e0 zenon_H1f4 zenon_H1f3 zenon_H1d9 zenon_H1db zenon_H169 zenon_H11a zenon_H17b zenon_H142 zenon_H152 zenon_Hac zenon_Hb2 zenon_H15c zenon_H126 zenon_H161 zenon_H18c zenon_H57 zenon_He0 zenon_H17f zenon_H66 zenon_H182 zenon_H189 zenon_H174 zenon_H16e zenon_H178 zenon_H105 zenon_Hc1 zenon_H6a zenon_He8 zenon_H5f zenon_H6e zenon_Hf9 zenon_Hca zenon_Hbd zenon_H166 zenon_H16b zenon_H192 zenon_H133 zenon_H42 zenon_H60 zenon_H48 zenon_Hc4.
% 43.17/43.36 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H21 | zenon_intro zenon_H1a5 ].
% 43.17/43.36 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H15b | zenon_intro zenon_H1a5 ].
% 43.17/43.36 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H6f | zenon_intro zenon_H193 ].
% 43.17/43.36 apply (zenon_or_s _ _ zenon_H1d8); [ zenon_intro zenon_H1b1 | zenon_intro zenon_H1a5 ].
% 43.17/43.36 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H11c | zenon_intro zenon_H193 ].
% 43.17/43.36 apply (zenon_L403_); trivial.
% 43.17/43.36 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H17c | zenon_intro zenon_H194 ].
% 43.17/43.36 apply (zenon_L104_); trivial.
% 43.17/43.36 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H18f | zenon_intro zenon_H195 ].
% 43.17/43.36 apply (zenon_L131_); trivial.
% 43.17/43.36 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H119 | zenon_intro zenon_H185 ].
% 43.17/43.36 apply (zenon_L60_); trivial.
% 43.17/43.36 apply (zenon_L133_); trivial.
% 43.17/43.36 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H20 | zenon_intro zenon_H1a6 ].
% 43.17/43.36 exact (zenon_H21 zenon_H20).
% 43.17/43.36 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H151 | zenon_intro zenon_H1a7 ].
% 43.17/43.36 apply (zenon_L100_); trivial.
% 43.17/43.36 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H196 | zenon_intro zenon_H198 ].
% 43.17/43.36 apply (zenon_L101_); trivial.
% 43.17/43.36 apply (zenon_L102_); trivial.
% 43.17/43.36 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H17c | zenon_intro zenon_H194 ].
% 43.17/43.36 apply (zenon_L104_); trivial.
% 43.17/43.36 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H18f | zenon_intro zenon_H195 ].
% 43.17/43.36 apply (zenon_L132_); trivial.
% 43.17/43.36 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H119 | zenon_intro zenon_H185 ].
% 43.17/43.36 apply (zenon_L60_); trivial.
% 43.17/43.36 apply (zenon_L133_); trivial.
% 43.17/43.36 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H20 | zenon_intro zenon_H1a6 ].
% 43.17/43.36 exact (zenon_H21 zenon_H20).
% 43.17/43.36 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H151 | zenon_intro zenon_H1a7 ].
% 43.17/43.36 apply (zenon_L100_); trivial.
% 43.17/43.36 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H196 | zenon_intro zenon_H198 ].
% 43.17/43.36 apply (zenon_L101_); trivial.
% 43.17/43.36 apply (zenon_L102_); trivial.
% 43.17/43.36 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H20 | zenon_intro zenon_H1a6 ].
% 43.17/43.36 apply (zenon_L149_); trivial.
% 43.17/43.36 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H151 | zenon_intro zenon_H1a7 ].
% 43.17/43.36 apply (zenon_L100_); trivial.
% 43.17/43.36 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H196 | zenon_intro zenon_H198 ].
% 43.17/43.36 apply (zenon_L101_); trivial.
% 43.17/43.36 apply (zenon_L102_); trivial.
% 43.17/43.36 (* end of lemma zenon_L404_ *)
% 43.17/43.36 assert (zenon_L405_ : (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))))))))))))))))) -> (~((e10) = (e12))) -> (~((e12) = (e13))) -> (~((e11) = (e12))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (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 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((~((op1 (e11) (e10)) = (e11)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((h3 (op1 (e11) (e12))) = (op2 (h3 (e11)) (h3 (e12))))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e12)) = (e22)) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op2 (e22) (e22)) = (e22))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (~((op2 (e21) (e22)) = (e21))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((e23) = (op2 (e22) (e22))) -> False).
% 43.17/43.36 do 0 intro. intros zenon_H342 zenon_H23a zenon_Hc4 zenon_H48 zenon_H60 zenon_H42 zenon_H133 zenon_H192 zenon_H16b zenon_H166 zenon_Hbd zenon_Hca zenon_Hf9 zenon_H6e zenon_H5f zenon_He8 zenon_H6a zenon_Hc1 zenon_H105 zenon_H178 zenon_H16e zenon_H174 zenon_H189 zenon_H182 zenon_H66 zenon_H17f zenon_He0 zenon_H57 zenon_H18c zenon_H161 zenon_H126 zenon_H15c zenon_Hb2 zenon_Hac zenon_H152 zenon_H142 zenon_H17b zenon_H11a zenon_H169 zenon_H1db zenon_H1d9 zenon_H1f3 zenon_H1f4 zenon_H1e0 zenon_H1e4 zenon_H1ed zenon_H1ec zenon_H1f5 zenon_H1fc zenon_H1c2 zenon_H1d5 zenon_H73 zenon_H1d3 zenon_H1be zenon_H1d2 zenon_H1b6 zenon_H37f zenon_H1d8 zenon_H1c8 zenon_H1aa zenon_H1b0 zenon_H1ba zenon_Hf6 zenon_H1bf zenon_H1a8 zenon_H1c3 zenon_H47 zenon_H1a4 zenon_H19f zenon_H19e zenon_H3bc zenon_H36f zenon_H22b zenon_H381 zenon_H1fe zenon_H2ad zenon_H242 zenon_H2c zenon_H226 zenon_H234 zenon_H23e zenon_H33.
% 43.17/43.36 apply (zenon_or_s _ _ zenon_H342); [ zenon_intro zenon_H23b | zenon_intro zenon_H343 ].
% 43.17/43.36 apply (zenon_L168_); trivial.
% 43.17/43.36 apply (zenon_or_s _ _ zenon_H343); [ zenon_intro zenon_H23c | zenon_intro zenon_H344 ].
% 43.17/43.36 apply (zenon_L404_); trivial.
% 43.17/43.36 apply (zenon_or_s _ _ zenon_H344); [ zenon_intro zenon_H2ab | zenon_intro zenon_H2b2 ].
% 43.17/43.36 exact (zenon_H2ad zenon_H2ab).
% 43.17/43.36 apply (zenon_L319_); trivial.
% 43.17/43.36 (* end of lemma zenon_L405_ *)
% 43.17/43.36 assert (zenon_L406_ : (((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23)))))))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((h3 (e12)) = (e22)) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((h3 (op1 (e11) (e12))) = (op2 (h3 (e11)) (h3 (e12))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (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) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e11) (e10)) = (e11)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (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)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e12) = (e13))) -> (~((e10) = (e12))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))))))))))))))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> False).
% 43.17/43.36 do 0 intro. intros zenon_H2a5 zenon_H1fe zenon_H381 zenon_H22b zenon_H36f zenon_H3bc zenon_H19e zenon_H19f zenon_H1a4 zenon_H47 zenon_H1c3 zenon_H1a8 zenon_H1bf zenon_Hf6 zenon_H1ba zenon_H1b0 zenon_H1aa zenon_H1c8 zenon_H1d8 zenon_H37f zenon_H1b6 zenon_H1d2 zenon_H1be zenon_H1d3 zenon_H73 zenon_H1d5 zenon_H1c2 zenon_H1fc zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H1e4 zenon_H1e0 zenon_H1f4 zenon_H1f3 zenon_H1d9 zenon_H1db zenon_H169 zenon_H11a zenon_H17b zenon_H142 zenon_H152 zenon_Hac zenon_Hb2 zenon_H15c zenon_H126 zenon_H161 zenon_H18c zenon_H57 zenon_He0 zenon_H17f zenon_H66 zenon_H182 zenon_H189 zenon_H174 zenon_H16e zenon_H178 zenon_H105 zenon_Hc1 zenon_H6a zenon_He8 zenon_H5f zenon_H6e zenon_Hf9 zenon_Hca zenon_Hbd zenon_H166 zenon_H16b zenon_H192 zenon_H133 zenon_H42 zenon_H60 zenon_H48 zenon_Hc4.
% 43.17/43.36 apply (zenon_and_s _ _ zenon_H2a5). zenon_intro zenon_H282. zenon_intro zenon_H2a6.
% 43.17/43.36 apply (zenon_and_s _ _ zenon_H2a6). zenon_intro zenon_H23c. zenon_intro zenon_H248.
% 43.17/43.36 apply (zenon_L404_); trivial.
% 43.17/43.36 (* end of lemma zenon_L406_ *)
% 43.17/43.36 assert (zenon_L407_ : ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))))))))))))))))) -> (~((e20) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((e20) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (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 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e20)) = (e21))) -> (~((e21) = (e22))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> ((op2 (e20) (e20)) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))))))))))))))))) -> (~((e10) = (e12))) -> (~((e12) = (e13))) -> (~((e11) = (e12))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (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 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((~((op1 (e11) (e10)) = (e11)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((h3 (op1 (e11) (e12))) = (op2 (h3 (e11)) (h3 (e12))))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e12)) = (e22)) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((e22) = (e23))) -> (~((op2 (e23) (e20)) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((e21) = (e23))) -> False).
% 43.17/43.36 do 0 intro. intros zenon_H2c7 zenon_H304 zenon_H9c zenon_H80 zenon_H93 zenon_Ha2 zenon_H85 zenon_H27d zenon_H249 zenon_H24d zenon_H27c zenon_H25d zenon_H256 zenon_H253 zenon_H260 zenon_Ha8 zenon_H204 zenon_H2c zenon_H20a zenon_H2eb zenon_H214 zenon_H2f1 zenon_H30b zenon_H25a zenon_H30e zenon_Hc4 zenon_H48 zenon_H60 zenon_H42 zenon_H133 zenon_H192 zenon_H16b zenon_H166 zenon_Hbd zenon_Hca zenon_Hf9 zenon_H6e zenon_H5f zenon_He8 zenon_H6a zenon_Hc1 zenon_H105 zenon_H178 zenon_H16e zenon_H174 zenon_H189 zenon_H182 zenon_H66 zenon_H17f zenon_He0 zenon_H57 zenon_H18c zenon_H161 zenon_H126 zenon_H15c zenon_Hb2 zenon_Hac zenon_H152 zenon_H142 zenon_H17b zenon_H11a zenon_H169 zenon_H1db zenon_H1d9 zenon_H1f3 zenon_H1f4 zenon_H1e0 zenon_H1e4 zenon_H1ed zenon_H1ec zenon_H1f5 zenon_H1fc zenon_H1c2 zenon_H1d5 zenon_H73 zenon_H1d3 zenon_H1be zenon_H1d2 zenon_H1b6 zenon_H37f zenon_H1d8 zenon_H1c8 zenon_H1aa zenon_H1b0 zenon_H1ba zenon_Hf6 zenon_H1bf zenon_H1a8 zenon_H1c3 zenon_H47 zenon_H1a4 zenon_H19f zenon_H19e zenon_H3bc zenon_H36f zenon_H381 zenon_H1fe zenon_H288 zenon_Ha3 zenon_H264 zenon_H279 zenon_H26a zenon_H22a zenon_H33 zenon_H22b zenon_H26e zenon_H276.
% 43.17/43.36 apply (zenon_or_s _ _ zenon_H2c7); [ zenon_intro zenon_H1a | zenon_intro zenon_H2c8 ].
% 43.17/43.36 apply (zenon_L227_); trivial.
% 43.17/43.36 apply (zenon_or_s _ _ zenon_H2c8); [ zenon_intro zenon_H1fd | zenon_intro zenon_H2c9 ].
% 43.17/43.36 apply (zenon_L253_); trivial.
% 43.17/43.36 apply (zenon_or_s _ _ zenon_H2c9); [ zenon_intro zenon_H208 | zenon_intro zenon_H2ca ].
% 43.17/43.36 apply (zenon_L154_); trivial.
% 43.17/43.36 apply (zenon_or_s _ _ zenon_H2ca); [ zenon_intro zenon_H210 | zenon_intro zenon_H2cb ].
% 43.17/43.36 apply (zenon_L156_); trivial.
% 43.17/43.36 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H213 | zenon_intro zenon_H2cc ].
% 43.17/43.36 apply (zenon_L157_); trivial.
% 43.17/43.36 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H21b | zenon_intro zenon_H2cd ].
% 43.17/43.36 apply (zenon_L160_); trivial.
% 43.17/43.36 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H225 | zenon_intro zenon_H2ce ].
% 43.17/43.36 apply (zenon_L255_); trivial.
% 43.17/43.36 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H231 | zenon_intro zenon_H2cf ].
% 43.17/43.36 apply (zenon_L164_); trivial.
% 43.17/43.36 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_H245 | zenon_intro zenon_H2d0 ].
% 43.17/43.36 apply (zenon_L232_); trivial.
% 43.17/43.36 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H2a5 | zenon_intro zenon_H2d1 ].
% 43.17/43.36 apply (zenon_L406_); trivial.
% 43.17/43.36 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H2ae | zenon_intro zenon_H2d2 ].
% 43.17/43.36 apply (zenon_L198_); trivial.
% 43.17/43.36 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H2b0 | zenon_intro zenon_H2d3 ].
% 43.17/43.36 apply (zenon_L199_); trivial.
% 43.17/43.36 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H2b3 | zenon_intro zenon_H2d4 ].
% 43.17/43.36 apply (zenon_L200_); trivial.
% 43.17/43.36 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_H2bc | zenon_intro zenon_H2d5 ].
% 43.17/43.36 apply (zenon_L202_); trivial.
% 43.17/43.36 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2c5 ].
% 43.17/43.36 apply (zenon_L203_); trivial.
% 43.17/43.36 apply (zenon_L204_); trivial.
% 43.17/43.36 (* end of lemma zenon_L407_ *)
% 43.17/43.36 assert (zenon_L408_ : ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((h3 (e12)) = (e22)) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((h3 (op1 (e11) (e12))) = (op2 (h3 (e11)) (h3 (e12))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (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) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e11) (e10)) = (e11)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (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)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e12) = (e13))) -> (~((e10) = (e12))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))))))))))))))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op2 (e21) (e20)) = (e21))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((e21) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((e22) = (e23))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((op2 (e20) (e20)) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((e20) = (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))))))))))))))))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((e20) = (e22))) -> (~((op2 (e22) (e21)) = (e22))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (~((e20) = (e23))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> False).
% 43.17/43.36 do 0 intro. intros zenon_H337 zenon_H1fe zenon_H381 zenon_H36f zenon_H3bc zenon_H19e zenon_H19f zenon_H1a4 zenon_H47 zenon_H1c3 zenon_H1a8 zenon_H1bf zenon_Hf6 zenon_H1ba zenon_H1b0 zenon_H1aa zenon_H1c8 zenon_H1d8 zenon_H37f zenon_H1b6 zenon_H1d2 zenon_H1be zenon_H1d3 zenon_H73 zenon_H1d5 zenon_H1c2 zenon_H1fc zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H1e4 zenon_H1e0 zenon_H1f4 zenon_H1f3 zenon_H1d9 zenon_H1db zenon_H169 zenon_H11a zenon_H17b zenon_H142 zenon_H152 zenon_Hac zenon_Hb2 zenon_H15c zenon_H126 zenon_H161 zenon_H18c zenon_H57 zenon_He0 zenon_H17f zenon_H66 zenon_H182 zenon_H189 zenon_H174 zenon_H16e zenon_H178 zenon_H105 zenon_Hc1 zenon_H6a zenon_He8 zenon_H5f zenon_H6e zenon_Hf9 zenon_Hca zenon_Hbd zenon_H166 zenon_H16b zenon_H192 zenon_H133 zenon_H42 zenon_H60 zenon_H48 zenon_Hc4 zenon_H214 zenon_Ha8 zenon_H260 zenon_H253 zenon_H256 zenon_H25d zenon_H27c zenon_H24d zenon_H249 zenon_H27d zenon_H85 zenon_Ha2 zenon_H9c zenon_H15 zenon_H276 zenon_H264 zenon_H321 zenon_H311 zenon_H316 zenon_H288 zenon_H31e zenon_H25a zenon_H93 zenon_H2fe zenon_H2f1 zenon_H30e zenon_H22a zenon_H22b zenon_H30b zenon_H2eb zenon_H26a zenon_H2e6 zenon_H20a zenon_H204 zenon_H2d7 zenon_H2c7 zenon_H21a zenon_H304 zenon_H310 zenon_H279 zenon_H324 zenon_H80 zenon_H2c zenon_H33 zenon_H26e.
% 43.17/43.37 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H338 ].
% 43.17/43.37 apply (zenon_L407_); trivial.
% 43.17/43.37 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ].
% 43.17/43.37 exact (zenon_H15 zenon_H14).
% 43.17/43.37 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ].
% 43.17/43.37 apply (zenon_L243_); trivial.
% 43.17/43.37 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ].
% 43.17/43.37 apply (zenon_L173_); trivial.
% 43.17/43.37 apply (zenon_L252_); trivial.
% 43.17/43.37 (* end of lemma zenon_L408_ *)
% 43.17/43.37 assert (zenon_L409_ : ((~((op2 (e22) (e22)) = (e22)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (~((op2 (e21) (e22)) = (e21))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((h3 (e12)) = (e22)) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((h3 (op1 (e11) (e12))) = (op2 (h3 (e11)) (h3 (e12))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (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) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e11) (e10)) = (e11)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (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)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e12) = (e13))) -> (~((e10) = (e12))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))))))))))))))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (~((e20) = (e23))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (~((e21) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))))))))))))))))) -> ((op2 (e20) (e20)) = (e21)) -> (~((e20) = (e22))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (e22))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (e21))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((e22) = (e23))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((e21) = (e22))) -> False).
% 43.17/43.37 do 0 intro. intros zenon_H36d zenon_H226 zenon_H1fe zenon_H381 zenon_H36f zenon_H3bc zenon_H19e zenon_H19f zenon_H1a4 zenon_H47 zenon_H1c3 zenon_H1a8 zenon_H1bf zenon_Hf6 zenon_H1ba zenon_H1b0 zenon_H1aa zenon_H1c8 zenon_H1d8 zenon_H37f zenon_H1b6 zenon_H1d2 zenon_H1be zenon_H1d3 zenon_H73 zenon_H1d5 zenon_H1c2 zenon_H1fc zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H1e4 zenon_H1e0 zenon_H1f4 zenon_H1f3 zenon_H1d9 zenon_H1db zenon_H169 zenon_H11a zenon_H17b zenon_H142 zenon_H152 zenon_Hac zenon_Hb2 zenon_H15c zenon_H126 zenon_H161 zenon_H18c zenon_H57 zenon_He0 zenon_H17f zenon_H66 zenon_H182 zenon_H189 zenon_H174 zenon_H16e zenon_H178 zenon_H105 zenon_Hc1 zenon_H6a zenon_He8 zenon_H5f zenon_H6e zenon_Hf9 zenon_Hca zenon_Hbd zenon_H166 zenon_H16b zenon_H192 zenon_H133 zenon_H42 zenon_H60 zenon_H48 zenon_Hc4 zenon_H2c zenon_H80 zenon_H32b zenon_H276 zenon_H264 zenon_H242 zenon_H234 zenon_H25d zenon_H2fe zenon_H2f9 zenon_H2f6 zenon_H301 zenon_H23e zenon_H2f3 zenon_H2ee zenon_H2de zenon_H2e6 zenon_H2eb zenon_H2e3 zenon_H290 zenon_H23a zenon_H20a zenon_H204 zenon_H2d7 zenon_H2c7 zenon_H309 zenon_H304 zenon_H15 zenon_H256 zenon_H9c zenon_H346 zenon_H249 zenon_H345 zenon_H30b zenon_H29d zenon_H214 zenon_H85 zenon_H33e zenon_H27c zenon_H33c zenon_H253 zenon_H260 zenon_H342 zenon_H27d zenon_H349 zenon_H24d zenon_H33d zenon_H31e zenon_H352 zenon_H337 zenon_H288 zenon_H279 zenon_H26a zenon_H22a zenon_H33 zenon_H22b zenon_H26e zenon_H2f1.
% 43.17/43.37 apply (zenon_or_s _ _ zenon_H36d); [ zenon_intro zenon_H2ad | zenon_intro zenon_H32c ].
% 43.17/43.37 apply (zenon_L405_); trivial.
% 43.17/43.37 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H25a | zenon_intro zenon_H32d ].
% 43.17/43.37 apply (zenon_L230_); trivial.
% 43.17/43.37 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H328 | zenon_intro zenon_H32e ].
% 43.17/43.37 apply (zenon_L295_); trivial.
% 43.17/43.37 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H2ab | zenon_intro zenon_H31a ].
% 43.17/43.37 apply (zenon_L197_); trivial.
% 43.17/43.37 apply (zenon_L245_); trivial.
% 43.17/43.37 (* end of lemma zenon_L409_ *)
% 43.17/43.37 assert (zenon_L410_ : ((~((op2 (e22) (e22)) = (e22)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (~((op2 (e21) (e22)) = (e21))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((h3 (e12)) = (e22)) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((h3 (op1 (e11) (e12))) = (op2 (h3 (e11)) (h3 (e12))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (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) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e11) (e10)) = (e11)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (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)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e12) = (e13))) -> (~((e10) = (e12))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))))))))))))))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((~((op2 (e21) (e21)) = (e21)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> ((~((op2 (e21) (e20)) = (e21)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (~((e20) = (e23))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e20)) = (e20))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))))))))))))))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (e22))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (e21))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((e21) = (e23))) -> ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((e22) = (e23))) -> ((e23) = (op2 (e22) (e22))) -> ((op2 (e23) (e23)) = (e21)) -> (~((e21) = (e22))) -> False).
% 43.17/43.37 do 0 intro. intros zenon_H36d zenon_H226 zenon_H1fe zenon_H381 zenon_H36f zenon_H3bc zenon_H19e zenon_H19f zenon_H1a4 zenon_H47 zenon_H1c3 zenon_H1a8 zenon_H1bf zenon_Hf6 zenon_H1ba zenon_H1b0 zenon_H1aa zenon_H1c8 zenon_H1d8 zenon_H37f zenon_H1b6 zenon_H1d2 zenon_H1be zenon_H1d3 zenon_H73 zenon_H1d5 zenon_H1c2 zenon_H1fc zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H1e4 zenon_H1e0 zenon_H1f4 zenon_H1f3 zenon_H1d9 zenon_H1db zenon_H169 zenon_H11a zenon_H17b zenon_H142 zenon_H152 zenon_Hac zenon_Hb2 zenon_H15c zenon_H126 zenon_H161 zenon_H18c zenon_H57 zenon_He0 zenon_H17f zenon_H66 zenon_H182 zenon_H189 zenon_H174 zenon_H16e zenon_H178 zenon_H105 zenon_Hc1 zenon_H6a zenon_He8 zenon_H5f zenon_H6e zenon_Hf9 zenon_Hca zenon_Hbd zenon_H166 zenon_H16b zenon_H192 zenon_H133 zenon_H42 zenon_H60 zenon_H48 zenon_Hc4 zenon_H330 zenon_H23e zenon_H234 zenon_H242 zenon_H32b zenon_H324 zenon_H32f zenon_H2e6 zenon_H30e zenon_H2fe zenon_H93 zenon_H316 zenon_H311 zenon_H321 zenon_Ha8 zenon_Ha2 zenon_H33b zenon_H26e zenon_H2c zenon_H80 zenon_H304 zenon_H15 zenon_H2c7 zenon_H256 zenon_H9c zenon_H346 zenon_H249 zenon_H345 zenon_H30b zenon_H2d7 zenon_H29d zenon_H214 zenon_H85 zenon_H33e zenon_H23a zenon_H27c zenon_H2f9 zenon_H33c zenon_H301 zenon_H25d zenon_H253 zenon_H260 zenon_H342 zenon_H27d zenon_H349 zenon_H204 zenon_H20a zenon_H290 zenon_H24d zenon_H2e3 zenon_H2eb zenon_H2de zenon_H2ee zenon_H2f3 zenon_H2f6 zenon_H33d zenon_H31e zenon_H352 zenon_H264 zenon_H279 zenon_H26a zenon_H22a zenon_H22b zenon_H276 zenon_H337 zenon_H288 zenon_H33 zenon_H274 zenon_H2f1.
% 43.17/43.37 apply (zenon_or_s _ _ zenon_H36d); [ zenon_intro zenon_H2ad | zenon_intro zenon_H32c ].
% 43.17/43.37 apply (zenon_L405_); trivial.
% 43.17/43.37 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H25a | zenon_intro zenon_H32d ].
% 43.17/43.37 apply (zenon_L260_); trivial.
% 43.17/43.37 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H328 | zenon_intro zenon_H32e ].
% 43.17/43.37 apply (zenon_L290_); trivial.
% 43.17/43.37 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H2ab | zenon_intro zenon_H31a ].
% 43.17/43.37 apply (zenon_L197_); trivial.
% 43.17/43.37 apply (zenon_L237_); trivial.
% 43.17/43.37 (* end of lemma zenon_L410_ *)
% 43.17/43.37 assert (zenon_L411_ : (~((op2 (e21) (e20)) = (e21))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = 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-> (~((h3 (op1 (e11) (e12))) = (op2 (h3 (e11)) (h3 (e12))))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e12)) = (e22)) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op2 (e21) (e21)) = (e21))) -> ((~((op2 (e21) (e20)) = (e21)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 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(e23)) = (e22))))) -> ((op2 (e20) (e20)) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((e20) = (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = 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(e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))))))))))))))))) -> ((~((op2 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> ((~((op2 (e21) (e21)) = (e21)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (~((e20) = (e23))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> False).
% 43.17/43.38 do 0 intro. intros zenon_H214 zenon_Hc4 zenon_H48 zenon_H60 zenon_H42 zenon_H133 zenon_H192 zenon_H16b zenon_H166 zenon_Hbd zenon_Hca zenon_Hf9 zenon_H6e zenon_H5f zenon_He8 zenon_H6a zenon_Hc1 zenon_H105 zenon_H178 zenon_H16e zenon_H174 zenon_H189 zenon_H182 zenon_H66 zenon_H17f zenon_He0 zenon_H57 zenon_H18c zenon_H161 zenon_H126 zenon_H15c zenon_Hb2 zenon_Hac zenon_H152 zenon_H142 zenon_H17b zenon_H11a zenon_H169 zenon_H1db zenon_H1d9 zenon_H1f3 zenon_H1f4 zenon_H1e0 zenon_H1e4 zenon_H1ed zenon_H1ec zenon_H1f5 zenon_H1fc zenon_H1c2 zenon_H1d5 zenon_H73 zenon_H1d3 zenon_H1be zenon_H1d2 zenon_H1b6 zenon_H37f zenon_H1d8 zenon_H1c8 zenon_H1aa zenon_H1b0 zenon_H1ba zenon_Hf6 zenon_H1bf zenon_H1a8 zenon_H1c3 zenon_H47 zenon_H1a4 zenon_H19f zenon_H19e zenon_H3bc zenon_H36f zenon_H381 zenon_H1fe zenon_H21a zenon_H33b zenon_H9c zenon_Ha2 zenon_H85 zenon_H27d zenon_H249 zenon_H24d zenon_H27c zenon_H256 zenon_H253 zenon_H260 zenon_Ha8 zenon_H337 zenon_H15 zenon_H276 zenon_H264 zenon_H321 zenon_H311 zenon_H316 zenon_H288 zenon_H31e zenon_H25a zenon_H93 zenon_H2fe zenon_H2f1 zenon_H30e zenon_H22a zenon_H22b zenon_H30b zenon_H2eb zenon_H26a zenon_H2e6 zenon_H20a zenon_H204 zenon_H2d7 zenon_H2c7 zenon_H32f zenon_H324 zenon_H301 zenon_H2f6 zenon_H2f9 zenon_H25d zenon_H32b zenon_H2f3 zenon_H2ee zenon_H2de zenon_H2e3 zenon_H290 zenon_H242 zenon_H234 zenon_H23a zenon_H23e zenon_H304 zenon_H279 zenon_H330 zenon_H80 zenon_H2c zenon_H33 zenon_H26e.
% 43.17/43.38 apply (zenon_or_s _ _ zenon_H32f); [ zenon_intro zenon_H310 | zenon_intro zenon_H325 ].
% 43.17/43.38 apply (zenon_L408_); trivial.
% 43.17/43.38 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H309 | zenon_intro zenon_H326 ].
% 43.17/43.38 apply (zenon_L230_); trivial.
% 43.17/43.38 apply (zenon_or_s _ _ zenon_H326); [ zenon_intro zenon_H219 | zenon_intro zenon_H327 ].
% 43.17/43.38 exact (zenon_H21a zenon_H219).
% 43.17/43.38 apply (zenon_or_s _ _ zenon_H327); [ zenon_intro zenon_H2e1 | zenon_intro zenon_H274 ].
% 43.17/43.38 apply (zenon_L209_); trivial.
% 43.17/43.38 apply (zenon_L260_); trivial.
% 43.17/43.38 (* end of lemma zenon_L411_ *)
% 43.17/43.38 assert (zenon_L412_ : ((~((op2 (e22) (e22)) = (e22)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((h3 (e12)) = (e22)) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((h3 (op1 (e11) (e12))) = (op2 (h3 (e11)) (h3 (e12))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (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) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e11) (e10)) = (e11)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (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)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e12) = (e13))) -> (~((e10) = (e12))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))))))))))))))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (~((e20) = (e23))) -> ((~((op2 (e21) (e21)) = (e21)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((e21) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((e20) = (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))))))))))))))))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e20)) = (e20))) -> ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (e21))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e20)) = (e21)) -> ((~((op2 (e22) (e20)) = (e22)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((e22) = (e23))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((e21) = (e22))) -> False).
% 43.17/43.38 do 0 intro. intros zenon_H36d zenon_H1fe zenon_H381 zenon_H36f zenon_H3bc zenon_H19e zenon_H19f zenon_H1a4 zenon_H47 zenon_H1c3 zenon_H1a8 zenon_H1bf zenon_Hf6 zenon_H1ba zenon_H1b0 zenon_H1aa zenon_H1c8 zenon_H1d8 zenon_H37f zenon_H1b6 zenon_H1d2 zenon_H1be zenon_H1d3 zenon_H73 zenon_H1d5 zenon_H1c2 zenon_H1fc zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H1e4 zenon_H1e0 zenon_H1f4 zenon_H1f3 zenon_H1d9 zenon_H1db zenon_H169 zenon_H11a zenon_H17b zenon_H142 zenon_H152 zenon_Hac zenon_Hb2 zenon_H15c zenon_H126 zenon_H161 zenon_H18c zenon_H57 zenon_He0 zenon_H17f zenon_H66 zenon_H182 zenon_H189 zenon_H174 zenon_H16e zenon_H178 zenon_H105 zenon_Hc1 zenon_H6a zenon_He8 zenon_H5f zenon_H6e zenon_Hf9 zenon_Hca zenon_Hbd zenon_H166 zenon_H16b zenon_H192 zenon_H133 zenon_H42 zenon_H60 zenon_H48 zenon_Hc4 zenon_H2c zenon_H80 zenon_H330 zenon_H32f zenon_H324 zenon_H301 zenon_H2f6 zenon_H2f9 zenon_H25d zenon_H32b zenon_H2f3 zenon_H2ee zenon_H2de zenon_H2e3 zenon_H290 zenon_H242 zenon_H234 zenon_H23a zenon_H23e zenon_H276 zenon_H264 zenon_H321 zenon_H311 zenon_H316 zenon_H31e zenon_H93 zenon_H2fe zenon_H30e zenon_H30b zenon_H2eb zenon_H2e6 zenon_H20a zenon_H204 zenon_H2d7 zenon_H2c7 zenon_H304 zenon_H15 zenon_H337 zenon_H352 zenon_H33d zenon_H24d zenon_H349 zenon_H27d zenon_H342 zenon_H260 zenon_H253 zenon_H33c zenon_H27c zenon_H33e zenon_H85 zenon_H214 zenon_H29d zenon_H345 zenon_H249 zenon_H9c zenon_H256 zenon_H309 zenon_H354 zenon_H288 zenon_H279 zenon_H26a zenon_H22a zenon_H33 zenon_H22b zenon_H26e zenon_H2f1.
% 43.17/43.38 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H226 | zenon_intro zenon_H32c ].
% 43.17/43.38 apply (zenon_or_s _ _ zenon_H354); [ zenon_intro zenon_H346 | zenon_intro zenon_H338 ].
% 43.17/43.38 apply (zenon_L409_); trivial.
% 43.17/43.38 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ].
% 43.17/43.38 exact (zenon_H15 zenon_H14).
% 43.17/43.38 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ].
% 43.17/43.38 apply (zenon_L225_); trivial.
% 43.17/43.38 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ].
% 43.17/43.38 apply (zenon_L173_); trivial.
% 43.17/43.38 apply (zenon_L252_); trivial.
% 43.17/43.38 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H25a | zenon_intro zenon_H32d ].
% 43.17/43.38 apply (zenon_L230_); trivial.
% 43.17/43.38 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H328 | zenon_intro zenon_H32e ].
% 43.17/43.38 apply (zenon_L296_); trivial.
% 43.17/43.38 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H2ab | zenon_intro zenon_H31a ].
% 43.17/43.38 apply (zenon_L197_); trivial.
% 43.17/43.38 apply (zenon_L245_); trivial.
% 43.17/43.38 (* end of lemma zenon_L412_ *)
% 43.17/43.38 assert (zenon_L413_ : ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((e21) = (e23))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((e22) = (e23))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((h3 (e12)) = (e22)) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((h3 (op1 (e11) (e12))) = (op2 (h3 (e11)) (h3 (e12))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (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) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e11) (e10)) = (e11)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (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)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e12) = (e13))) -> (~((e10) = (e12))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))))))))))))))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e20) (e20)) = (e22)) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((e21) = (e22))) -> (~((op2 (e21) (e20)) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((e20) = (e22))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))))))))))))))))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((e20) = (e21))) -> ((op2 (e21) (e21)) = (e21)) -> (~((e20) = (e23))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> False).
% 43.17/43.38 do 0 intro. intros zenon_H337 zenon_H276 zenon_H22b zenon_H22a zenon_H26a zenon_H279 zenon_H264 zenon_H288 zenon_H1fe zenon_H381 zenon_H36f zenon_H3bc zenon_H19e zenon_H19f zenon_H1a4 zenon_H47 zenon_H1c3 zenon_H1a8 zenon_H1bf zenon_Hf6 zenon_H1ba zenon_H1b0 zenon_H1aa zenon_H1c8 zenon_H1d8 zenon_H37f zenon_H1b6 zenon_H1d2 zenon_H1be zenon_H1d3 zenon_H73 zenon_H1d5 zenon_H1c2 zenon_H1fc zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H1e4 zenon_H1e0 zenon_H1f4 zenon_H1f3 zenon_H1d9 zenon_H1db zenon_H169 zenon_H11a zenon_H17b zenon_H142 zenon_H152 zenon_Hac zenon_Hb2 zenon_H15c zenon_H126 zenon_H161 zenon_H18c zenon_H57 zenon_He0 zenon_H17f zenon_H66 zenon_H182 zenon_H189 zenon_H174 zenon_H16e zenon_H178 zenon_H105 zenon_Hc1 zenon_H6a zenon_He8 zenon_H5f zenon_H6e zenon_Hf9 zenon_Hca zenon_Hbd zenon_H166 zenon_H16b zenon_H192 zenon_H133 zenon_H42 zenon_H60 zenon_H48 zenon_Hc4 zenon_H30e zenon_H25a zenon_H30b zenon_H2f1 zenon_H214 zenon_H2eb zenon_H20a zenon_H204 zenon_Ha8 zenon_H260 zenon_H253 zenon_H256 zenon_H25d zenon_H27c zenon_H24d zenon_H249 zenon_H27d zenon_H85 zenon_Ha2 zenon_H93 zenon_H9c zenon_H304 zenon_H2c7 zenon_H15 zenon_H2e6 zenon_H219 zenon_H80 zenon_H2c zenon_H33 zenon_H26e.
% 43.17/43.38 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H338 ].
% 43.17/43.38 apply (zenon_L407_); trivial.
% 43.17/43.38 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ].
% 43.17/43.38 exact (zenon_H15 zenon_H14).
% 43.17/43.38 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ].
% 43.17/43.38 apply (zenon_L212_); trivial.
% 43.17/43.38 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ].
% 43.17/43.38 apply (zenon_L173_); trivial.
% 43.17/43.38 apply (zenon_L252_); trivial.
% 43.17/43.38 (* end of lemma zenon_L413_ *)
% 43.17/43.38 assert (zenon_L414_ : ((~((op2 (e21) (e20)) = (e21)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))))))))))))))))) -> (~((e20) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (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 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((e21) = (e22))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> ((op2 (e20) (e20)) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))))))))))))))))) -> (~((e10) = (e12))) -> (~((e12) = (e13))) -> (~((e11) = (e12))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (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 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((~((op1 (e11) (e10)) = (e11)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((h3 (op1 (e11) (e12))) = (op2 (h3 (e11)) (h3 (e12))))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e12)) = (e22)) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((e22) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((e21) = (e23))) -> ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((e20) = (e21))) -> ((op2 (e21) (e21)) = (e21)) -> (~((e20) = (e23))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> False).
% 43.17/43.38 do 0 intro. intros zenon_H33b zenon_H2c7 zenon_H304 zenon_H9c zenon_H93 zenon_Ha2 zenon_H85 zenon_H27d zenon_H249 zenon_H24d zenon_H27c zenon_H25d zenon_H256 zenon_H253 zenon_H260 zenon_Ha8 zenon_H204 zenon_H20a zenon_H2eb zenon_H2f1 zenon_H30b zenon_H25a zenon_H30e zenon_Hc4 zenon_H48 zenon_H60 zenon_H42 zenon_H133 zenon_H192 zenon_H16b zenon_H166 zenon_Hbd zenon_Hca zenon_Hf9 zenon_H6e zenon_H5f zenon_He8 zenon_H6a zenon_Hc1 zenon_H105 zenon_H178 zenon_H16e zenon_H174 zenon_H189 zenon_H182 zenon_H66 zenon_H17f zenon_He0 zenon_H57 zenon_H18c zenon_H161 zenon_H126 zenon_H15c zenon_Hb2 zenon_Hac zenon_H152 zenon_H142 zenon_H17b zenon_H11a zenon_H169 zenon_H1db zenon_H1d9 zenon_H1f3 zenon_H1f4 zenon_H1e0 zenon_H1e4 zenon_H1ed zenon_H1ec zenon_H1f5 zenon_H1fc zenon_H1c2 zenon_H1d5 zenon_H73 zenon_H1d3 zenon_H1be zenon_H1d2 zenon_H1b6 zenon_H37f zenon_H1d8 zenon_H1c8 zenon_H1aa zenon_H1b0 zenon_H1ba zenon_Hf6 zenon_H1bf zenon_H1a8 zenon_H1c3 zenon_H47 zenon_H1a4 zenon_H19f zenon_H19e zenon_H3bc zenon_H36f zenon_H381 zenon_H1fe zenon_H288 zenon_H264 zenon_H279 zenon_H26a zenon_H22a zenon_H22b zenon_H276 zenon_H337 zenon_H15 zenon_H2e6 zenon_H219 zenon_H80 zenon_H2c zenon_H33 zenon_H26e.
% 43.17/43.38 apply (zenon_or_s _ _ zenon_H33b); [ zenon_intro zenon_H214 | zenon_intro zenon_H338 ].
% 43.17/43.38 apply (zenon_L413_); trivial.
% 43.17/43.38 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ].
% 43.17/43.38 exact (zenon_H15 zenon_H14).
% 43.17/43.38 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ].
% 43.17/43.38 apply (zenon_L212_); trivial.
% 43.17/43.38 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ].
% 43.17/43.38 apply (zenon_L173_); trivial.
% 43.17/43.38 apply (zenon_L252_); trivial.
% 43.17/43.38 (* end of lemma zenon_L414_ *)
% 43.17/43.38 assert (zenon_L415_ : ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> ((~((op2 (e22) (e22)) = (e22)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> ((~((op2 (e21) (e20)) = (e21)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((~((op2 (e22) (e20)) = (e22)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (~((e20) = (e23))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e20)) = (e20))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = 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(e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))))))))))))))))) -> (~((e10) = (e12))) -> (~((e12) = (e13))) -> (~((e11) = (e12))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (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 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((~((op1 (e11) (e10)) = (e11)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((h3 (op1 (e11) (e12))) = (op2 (h3 (e11)) (h3 (e12))))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e12)) = (e22)) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((e21) = (e23))) -> ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> ((op2 (e21) (e21)) = (e21)) -> (~((e22) = (e23))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((e21) = (e22))) -> False).
% 43.17/43.38 do 0 intro. intros zenon_H32b zenon_H2d7 zenon_H23a zenon_H290 zenon_H2e3 zenon_H2de zenon_H2ee zenon_H2f3 zenon_H23e zenon_H301 zenon_H2f6 zenon_H2f9 zenon_H2fe zenon_H234 zenon_H242 zenon_H36d zenon_H33b zenon_H345 zenon_H29d zenon_H33e zenon_H33c zenon_H342 zenon_H349 zenon_H33d zenon_H31e zenon_H352 zenon_H354 zenon_H2c zenon_H80 zenon_H2e6 zenon_H15 zenon_H2c7 zenon_H304 zenon_H9c zenon_H93 zenon_Ha2 zenon_H85 zenon_H27d zenon_H249 zenon_H24d zenon_H27c zenon_H25d zenon_H256 zenon_H253 zenon_H260 zenon_Ha8 zenon_H204 zenon_H20a zenon_H2eb zenon_H214 zenon_H30b zenon_H30e zenon_Hc4 zenon_H48 zenon_H60 zenon_H42 zenon_H133 zenon_H192 zenon_H16b zenon_H166 zenon_Hbd zenon_Hca zenon_Hf9 zenon_H6e zenon_H5f zenon_He8 zenon_H6a zenon_Hc1 zenon_H105 zenon_H178 zenon_H16e zenon_H174 zenon_H189 zenon_H182 zenon_H66 zenon_H17f zenon_He0 zenon_H57 zenon_H18c zenon_H161 zenon_H126 zenon_H15c zenon_Hb2 zenon_Hac zenon_H152 zenon_H142 zenon_H17b zenon_H11a zenon_H169 zenon_H1db zenon_H1d9 zenon_H1f3 zenon_H1f4 zenon_H1e0 zenon_H1e4 zenon_H1ed zenon_H1ec zenon_H1f5 zenon_H1fc zenon_H1c2 zenon_H1d5 zenon_H73 zenon_H1d3 zenon_H1be zenon_H1d2 zenon_H1b6 zenon_H37f zenon_H1d8 zenon_H1c8 zenon_H1aa zenon_H1b0 zenon_H1ba zenon_Hf6 zenon_H1bf zenon_H1a8 zenon_H1c3 zenon_H47 zenon_H1a4 zenon_H19f zenon_H19e zenon_H3bc zenon_H36f zenon_H381 zenon_H1fe zenon_H264 zenon_H276 zenon_H337 zenon_H219 zenon_H288 zenon_H279 zenon_H26a zenon_H22a zenon_H33 zenon_H22b zenon_H26e zenon_H2f1.
% 43.17/43.38 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H226 | zenon_intro zenon_H32c ].
% 43.17/43.38 apply (zenon_or_s _ _ zenon_H354); [ zenon_intro zenon_H346 | zenon_intro zenon_H338 ].
% 43.17/43.38 apply (zenon_or_s _ _ zenon_H36d); [ zenon_intro zenon_H2ad | zenon_intro zenon_H32c ].
% 43.17/43.38 apply (zenon_L405_); trivial.
% 43.17/43.38 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H25a | zenon_intro zenon_H32d ].
% 43.17/43.38 apply (zenon_L414_); trivial.
% 43.17/43.38 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H328 | zenon_intro zenon_H32e ].
% 43.17/43.38 apply (zenon_L290_); trivial.
% 43.17/43.38 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H2ab | zenon_intro zenon_H31a ].
% 43.17/43.38 apply (zenon_L197_); trivial.
% 43.17/43.38 apply (zenon_L245_); trivial.
% 43.17/43.38 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ].
% 43.17/43.38 exact (zenon_H15 zenon_H14).
% 43.17/43.38 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ].
% 43.17/43.38 apply (zenon_L225_); trivial.
% 43.17/43.38 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ].
% 43.17/43.38 apply (zenon_L173_); trivial.
% 43.17/43.38 apply (zenon_L252_); trivial.
% 43.17/43.38 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H25a | zenon_intro zenon_H32d ].
% 43.17/43.38 apply (zenon_L413_); trivial.
% 43.17/43.38 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H328 | zenon_intro zenon_H32e ].
% 43.17/43.38 apply (zenon_L270_); trivial.
% 43.17/43.38 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H2ab | zenon_intro zenon_H31a ].
% 43.17/43.38 apply (zenon_L197_); trivial.
% 43.17/43.38 apply (zenon_L245_); trivial.
% 43.17/43.38 (* end of lemma zenon_L415_ *)
% 43.17/43.38 assert (zenon_L416_ : ((op2 (e21) (e21)) = (e21)) -> ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((h3 (e12)) = (e22)) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((h3 (op1 (e11) (e12))) = (op2 (h3 (e11)) (h3 (e12))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (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) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e11) (e10)) = (e11)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (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)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e12) = (e13))) -> (~((e10) = (e12))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))))))))))))))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (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))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((~((op2 (e22) (e20)) = (e22)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> ((~((op2 (e21) (e20)) = (e21)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> ((~((op2 (e22) (e22)) = (e22)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((e21) = (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e22) = (e23))) -> (~((e20) = (e22))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))))))))))))))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((e21) = (e23))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e21) (e21)) = (e21)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (~((e20) = (e23))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> False).
% 43.17/43.38 do 0 intro. intros zenon_H219 zenon_H337 zenon_H1fe zenon_H381 zenon_H36f zenon_H3bc zenon_H19e zenon_H19f zenon_H1a4 zenon_H47 zenon_H1c3 zenon_H1a8 zenon_H1bf zenon_Hf6 zenon_H1ba zenon_H1b0 zenon_H1aa zenon_H1c8 zenon_H1d8 zenon_H37f zenon_H1b6 zenon_H1d2 zenon_H1be zenon_H1d3 zenon_H73 zenon_H1d5 zenon_H1c2 zenon_H1fc zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H1e4 zenon_H1e0 zenon_H1f4 zenon_H1f3 zenon_H1d9 zenon_H1db zenon_H169 zenon_H11a zenon_H17b zenon_H142 zenon_H152 zenon_Hac zenon_Hb2 zenon_H15c zenon_H126 zenon_H161 zenon_H18c zenon_H57 zenon_He0 zenon_H17f zenon_H66 zenon_H182 zenon_H189 zenon_H174 zenon_H16e zenon_H178 zenon_H105 zenon_Hc1 zenon_H6a zenon_He8 zenon_H5f zenon_H6e zenon_Hf9 zenon_Hca zenon_Hbd zenon_H166 zenon_H16b zenon_H192 zenon_H133 zenon_H42 zenon_H60 zenon_H48 zenon_Hc4 zenon_Ha8 zenon_H260 zenon_H253 zenon_H256 zenon_H27c zenon_H24d zenon_H249 zenon_H27d zenon_H85 zenon_Ha2 zenon_H9c zenon_H354 zenon_H352 zenon_H33d zenon_H349 zenon_H342 zenon_H33c zenon_H33e zenon_H29d zenon_H345 zenon_H33b zenon_H36d zenon_H15 zenon_H2f1 zenon_H22b zenon_H22a zenon_H26a zenon_H279 zenon_H288 zenon_H304 zenon_H2c7 zenon_H2d7 zenon_H204 zenon_H20a zenon_H2e6 zenon_H2eb zenon_H30b zenon_H30e zenon_H2fe zenon_H93 zenon_H31e zenon_H316 zenon_H311 zenon_H321 zenon_H264 zenon_H276 zenon_H23e zenon_H23a zenon_H234 zenon_H242 zenon_H290 zenon_H2e3 zenon_H2de zenon_H2ee zenon_H2f3 zenon_H32b zenon_H25d zenon_H2f9 zenon_H2f6 zenon_H301 zenon_H324 zenon_H32f zenon_H330 zenon_H80 zenon_H2c zenon_H33 zenon_H26e.
% 43.17/43.38 apply (zenon_or_s _ _ zenon_H33b); [ zenon_intro zenon_H214 | zenon_intro zenon_H338 ].
% 43.17/43.38 apply (zenon_L415_); trivial.
% 43.17/43.38 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ].
% 43.17/43.38 exact (zenon_H15 zenon_H14).
% 43.17/43.38 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ].
% 43.17/43.38 apply (zenon_L251_); trivial.
% 43.17/43.38 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ].
% 43.17/43.38 apply (zenon_L173_); trivial.
% 43.17/43.38 apply (zenon_L252_); trivial.
% 43.17/43.38 (* end of lemma zenon_L416_ *)
% 43.17/43.38 assert (zenon_L417_ : ((~((op2 (e22) (e22)) = (e22)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((h3 (e12)) = (e22)) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((h3 (op1 (e11) (e12))) = (op2 (h3 (e11)) (h3 (e12))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (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) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e11) (e10)) = (e11)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (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)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e12) = (e13))) -> (~((e10) = (e12))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))))))))))))))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((~((op2 (e21) (e20)) = (e21)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (~((e20) = (e23))) -> ((~((op2 (e21) (e21)) = (e21)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((e21) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((e20) = (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))))))))))))))))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e20)) = (e20))) -> ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> ((op2 (e23) (e23)) = (e21)) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e20)) = (e21))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((~((op2 (e22) (e20)) = (e22)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((e22) = (e23))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((e21) = (e22))) -> False).
% 43.17/43.38 do 0 intro. intros zenon_H36d zenon_H1fe zenon_H381 zenon_H36f zenon_H3bc zenon_H19e zenon_H19f zenon_H1a4 zenon_H47 zenon_H1c3 zenon_H1a8 zenon_H1bf zenon_Hf6 zenon_H1ba zenon_H1b0 zenon_H1aa zenon_H1c8 zenon_H1d8 zenon_H37f zenon_H1b6 zenon_H1d2 zenon_H1be zenon_H1d3 zenon_H73 zenon_H1d5 zenon_H1c2 zenon_H1fc zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H1e4 zenon_H1e0 zenon_H1f4 zenon_H1f3 zenon_H1d9 zenon_H1db zenon_H169 zenon_H11a zenon_H17b zenon_H142 zenon_H152 zenon_Hac zenon_Hb2 zenon_H15c zenon_H126 zenon_H161 zenon_H18c zenon_H57 zenon_He0 zenon_H17f zenon_H66 zenon_H182 zenon_H189 zenon_H174 zenon_H16e zenon_H178 zenon_H105 zenon_Hc1 zenon_H6a zenon_He8 zenon_H5f zenon_H6e zenon_Hf9 zenon_Hca zenon_Hbd zenon_H166 zenon_H16b zenon_H192 zenon_H133 zenon_H42 zenon_H60 zenon_H48 zenon_Hc4 zenon_H33b zenon_Ha2 zenon_Ha8 zenon_H2c zenon_H80 zenon_H330 zenon_H32f zenon_H324 zenon_H301 zenon_H2f6 zenon_H2f9 zenon_H25d zenon_H32b zenon_H2f3 zenon_H2ee zenon_H2de zenon_H2e3 zenon_H290 zenon_H242 zenon_H234 zenon_H23a zenon_H23e zenon_H276 zenon_H264 zenon_H321 zenon_H311 zenon_H316 zenon_H31e zenon_H93 zenon_H2fe zenon_H30e zenon_H30b zenon_H2eb zenon_H2e6 zenon_H20a zenon_H204 zenon_H2d7 zenon_H2c7 zenon_H304 zenon_H15 zenon_H337 zenon_H274 zenon_H352 zenon_H33d zenon_H214 zenon_H349 zenon_H27d zenon_H24d zenon_H342 zenon_H260 zenon_H253 zenon_H33c zenon_H27c zenon_H33e zenon_H85 zenon_H29d zenon_H345 zenon_H249 zenon_H9c zenon_H256 zenon_H354 zenon_H288 zenon_H279 zenon_H26a zenon_H22a zenon_H33 zenon_H22b zenon_H26e zenon_H2f1.
% 43.17/43.38 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H226 | zenon_intro zenon_H32c ].
% 43.17/43.38 apply (zenon_or_s _ _ zenon_H354); [ zenon_intro zenon_H346 | zenon_intro zenon_H338 ].
% 43.17/43.38 apply (zenon_L410_); trivial.
% 43.17/43.38 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ].
% 43.17/43.38 exact (zenon_H15 zenon_H14).
% 43.17/43.38 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ].
% 43.17/43.38 apply (zenon_L225_); trivial.
% 43.17/43.38 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ].
% 43.17/43.38 apply (zenon_L173_); trivial.
% 43.17/43.38 apply (zenon_L252_); trivial.
% 43.17/43.38 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H25a | zenon_intro zenon_H32d ].
% 43.17/43.38 apply (zenon_L259_); trivial.
% 43.17/43.38 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H328 | zenon_intro zenon_H32e ].
% 43.17/43.38 apply (zenon_L302_); trivial.
% 43.17/43.38 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H2ab | zenon_intro zenon_H31a ].
% 43.17/43.38 apply (zenon_L197_); trivial.
% 43.17/43.38 apply (zenon_L245_); trivial.
% 43.17/43.38 (* end of lemma zenon_L417_ *)
% 43.17/43.38 assert (zenon_L418_ : (~((h3 (op1 (e11) (e13))) = (op2 (h3 (e11)) (h3 (e13))))) -> ((op1 (e11) (e13)) = (e13)) -> ((op2 (e21) (e23)) = (e23)) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> ((e23) = (op2 (e22) (e22))) -> False).
% 43.17/43.38 do 0 intro. intros zenon_H3c8 zenon_H75 zenon_H25e zenon_H36f zenon_H22b zenon_H30 zenon_H33.
% 43.17/43.38 cut (((h3 (e13)) = (op2 (e22) (e22))) = ((h3 (op1 (e11) (e13))) = (op2 (h3 (e11)) (h3 (e13))))).
% 43.17/43.38 intro zenon_D_pnotp.
% 43.17/43.38 apply zenon_H3c8.
% 43.17/43.38 rewrite <- zenon_D_pnotp.
% 43.17/43.38 exact zenon_H30.
% 43.17/43.38 cut (((op2 (e22) (e22)) = (op2 (h3 (e11)) (h3 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H3c9].
% 43.17/43.38 cut (((h3 (e13)) = (h3 (op1 (e11) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H3ca].
% 43.17/43.38 congruence.
% 43.17/43.38 elim (classic ((h3 (op1 (e11) (e13))) = (h3 (op1 (e11) (e13))))); [ zenon_intro zenon_H3cb | zenon_intro zenon_H3cc ].
% 43.17/43.38 cut (((h3 (op1 (e11) (e13))) = (h3 (op1 (e11) (e13)))) = ((h3 (e13)) = (h3 (op1 (e11) (e13))))).
% 43.17/43.38 intro zenon_D_pnotp.
% 43.17/43.38 apply zenon_H3ca.
% 43.17/43.38 rewrite <- zenon_D_pnotp.
% 43.17/43.38 exact zenon_H3cb.
% 43.17/43.38 cut (((h3 (op1 (e11) (e13))) = (h3 (op1 (e11) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H3cc].
% 43.17/43.38 cut (((h3 (op1 (e11) (e13))) = (h3 (e13)))); [idtac | apply NNPP; zenon_intro zenon_H3cd].
% 43.17/43.38 congruence.
% 43.17/43.38 cut (((op1 (e11) (e13)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H3ce].
% 43.17/43.38 congruence.
% 43.17/43.38 exact (zenon_H3ce zenon_H75).
% 43.17/43.38 apply zenon_H3cc. apply refl_equal.
% 43.17/43.38 apply zenon_H3cc. apply refl_equal.
% 43.17/43.38 elim (classic ((op2 (h3 (e11)) (h3 (e13))) = (op2 (h3 (e11)) (h3 (e13))))); [ zenon_intro zenon_H3cf | zenon_intro zenon_H3d0 ].
% 43.17/43.38 cut (((op2 (h3 (e11)) (h3 (e13))) = (op2 (h3 (e11)) (h3 (e13)))) = ((op2 (e22) (e22)) = (op2 (h3 (e11)) (h3 (e13))))).
% 43.17/43.38 intro zenon_D_pnotp.
% 43.17/43.38 apply zenon_H3c9.
% 43.17/43.38 rewrite <- zenon_D_pnotp.
% 43.17/43.38 exact zenon_H3cf.
% 43.17/43.38 cut (((op2 (h3 (e11)) (h3 (e13))) = (op2 (h3 (e11)) (h3 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H3d0].
% 43.17/43.38 cut (((op2 (h3 (e11)) (h3 (e13))) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H3d1].
% 43.17/43.38 congruence.
% 43.17/43.38 cut (((op2 (e21) (e23)) = (e23)) = ((op2 (h3 (e11)) (h3 (e13))) = (op2 (e22) (e22)))).
% 43.17/43.38 intro zenon_D_pnotp.
% 43.17/43.38 apply zenon_H3d1.
% 43.17/43.38 rewrite <- zenon_D_pnotp.
% 43.17/43.38 exact zenon_H25e.
% 43.17/43.38 cut (((e23) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H3d].
% 43.17/43.38 cut (((op2 (e21) (e23)) = (op2 (h3 (e11)) (h3 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H3d2].
% 43.17/43.38 congruence.
% 43.17/43.38 elim (classic ((op2 (h3 (e11)) (h3 (e13))) = (op2 (h3 (e11)) (h3 (e13))))); [ zenon_intro zenon_H3cf | zenon_intro zenon_H3d0 ].
% 43.17/43.38 cut (((op2 (h3 (e11)) (h3 (e13))) = (op2 (h3 (e11)) (h3 (e13)))) = ((op2 (e21) (e23)) = (op2 (h3 (e11)) (h3 (e13))))).
% 43.17/43.38 intro zenon_D_pnotp.
% 43.17/43.38 apply zenon_H3d2.
% 43.17/43.38 rewrite <- zenon_D_pnotp.
% 43.17/43.38 exact zenon_H3cf.
% 43.17/43.38 cut (((op2 (h3 (e11)) (h3 (e13))) = (op2 (h3 (e11)) (h3 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H3d0].
% 43.17/43.38 cut (((op2 (h3 (e11)) (h3 (e13))) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H3d3].
% 43.17/43.38 congruence.
% 43.17/43.38 cut (((h3 (e13)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H38f].
% 43.17/43.38 cut (((h3 (e11)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H36e].
% 43.17/43.38 congruence.
% 43.17/43.38 apply (zenon_L327_); trivial.
% 43.17/43.38 apply (zenon_L350_); trivial.
% 43.17/43.38 apply zenon_H3d0. apply refl_equal.
% 43.17/43.38 apply zenon_H3d0. apply refl_equal.
% 43.17/43.38 exact (zenon_H3d zenon_H33).
% 43.17/43.38 apply zenon_H3d0. apply refl_equal.
% 43.17/43.38 apply zenon_H3d0. apply refl_equal.
% 43.17/43.38 (* end of lemma zenon_L418_ *)
% 43.17/43.38 assert (zenon_L419_ : (((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 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((h3 (op1 (e11) (e13))) = (op2 (h3 (e11)) (h3 (e13))))) -> ((op2 (e21) (e23)) = (e23)) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> ((e23) = (op2 (e22) (e22))) -> False).
% 43.17/43.38 do 0 intro. intros zenon_H78 zenon_H50 zenon_H4f zenon_H57 zenon_H56 zenon_H48 zenon_H6a zenon_H66 zenon_H6f zenon_H5f zenon_H60 zenon_H6e zenon_H3c8 zenon_H25e zenon_H36f zenon_H22b zenon_H30 zenon_H33.
% 43.17/43.38 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H51 | zenon_intro zenon_H79 ].
% 43.17/43.38 apply (zenon_L13_); trivial.
% 43.17/43.38 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H58 | zenon_intro zenon_H7a ].
% 43.17/43.38 apply (zenon_L15_); trivial.
% 43.17/43.38 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H68 | zenon_intro zenon_H75 ].
% 43.17/43.38 apply (zenon_L21_); trivial.
% 43.17/43.38 apply (zenon_L418_); trivial.
% 43.17/43.38 (* end of lemma zenon_L419_ *)
% 43.17/43.38 assert (zenon_L420_ : (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (e23))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (e21) (e20)) = (e20)) -> (~((e20) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((h3 (op1 (e11) (e13))) = (op2 (h3 (e11)) (h3 (e13))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (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))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((e21) = (e23))) -> False).
% 43.17/43.38 do 0 intro. intros zenon_H27c zenon_Ha3 zenon_H9c zenon_H99 zenon_H80 zenon_H93 zenon_Ha2 zenon_H30 zenon_H36f zenon_H3c8 zenon_H6e zenon_H60 zenon_H5f zenon_H6f zenon_H66 zenon_H6a zenon_H48 zenon_H56 zenon_H57 zenon_H4f zenon_H50 zenon_H78 zenon_H264 zenon_H279 zenon_H26a zenon_H22a zenon_H33 zenon_H22b zenon_H26e zenon_H276.
% 43.17/43.38 apply (zenon_or_s _ _ zenon_H27c); [ zenon_intro zenon_H92 | zenon_intro zenon_H280 ].
% 43.17/43.38 apply (zenon_L31_); trivial.
% 43.17/43.38 apply (zenon_or_s _ _ zenon_H280); [ zenon_intro zenon_H25e | zenon_intro zenon_H281 ].
% 43.17/43.38 apply (zenon_L419_); trivial.
% 43.17/43.38 apply (zenon_or_s _ _ zenon_H281); [ zenon_intro zenon_H263 | zenon_intro zenon_H275 ].
% 43.17/43.38 apply (zenon_L179_); trivial.
% 43.17/43.38 apply (zenon_L183_); trivial.
% 43.17/43.38 (* end of lemma zenon_L420_ *)
% 43.17/43.38 assert (zenon_L421_ : (((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13)))))))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (e23))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (e21) (e20)) = (e20)) -> (~((e20) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((h3 (op1 (e11) (e13))) = (op2 (h3 (e11)) (h3 (e13))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((e21) = (e23))) -> False).
% 43.17/43.38 do 0 intro. intros zenon_Ha7 zenon_H27c zenon_Ha3 zenon_H9c zenon_H99 zenon_H80 zenon_H93 zenon_Ha2 zenon_H30 zenon_H36f zenon_H3c8 zenon_H6e zenon_H60 zenon_H5f zenon_H6f zenon_H66 zenon_H6a zenon_H48 zenon_H56 zenon_H57 zenon_H4f zenon_H78 zenon_H264 zenon_H279 zenon_H26a zenon_H22a zenon_H33 zenon_H22b zenon_H26e zenon_H276.
% 43.17/43.38 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H40. zenon_intro zenon_Ha9.
% 43.17/43.38 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_H50. zenon_intro zenon_H28.
% 43.17/43.38 apply (zenon_L420_); trivial.
% 43.17/43.38 (* end of lemma zenon_L421_ *)
% 43.17/43.38 assert (zenon_L422_ : (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((op1 (e10) (e13)) = (e12)) -> (~((e12) = (e13))) -> ((e23) = (op2 (e22) (e22))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((op2 (e21) (e23)) = (e23)) -> (~((h3 (op1 (e11) (e13))) = (op2 (h3 (e11)) (h3 (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((e11) = (e13))) -> False).
% 43.17/43.38 do 0 intro. intros zenon_H39c zenon_H183 zenon_H11a zenon_H33 zenon_H30 zenon_H22b zenon_H36f zenon_H25e zenon_H3c8 zenon_H105 zenon_H133 zenon_H126 zenon_He0 zenon_H48 zenon_H57 zenon_Hc4 zenon_Hc1.
% 43.17/43.38 apply (zenon_or_s _ _ zenon_H39c); [ zenon_intro zenon_H74 | zenon_intro zenon_H39d ].
% 43.17/43.38 apply (zenon_L146_); trivial.
% 43.17/43.38 apply (zenon_or_s _ _ zenon_H39d); [ zenon_intro zenon_H75 | zenon_intro zenon_H39e ].
% 43.17/43.38 apply (zenon_L418_); trivial.
% 43.17/43.38 apply (zenon_or_s _ _ zenon_H39e); [ zenon_intro zenon_H104 | zenon_intro zenon_H13e ].
% 43.17/43.38 apply (zenon_L56_); trivial.
% 43.17/43.38 apply (zenon_L69_); trivial.
% 43.17/43.38 (* end of lemma zenon_L422_ *)
% 43.17/43.38 assert (zenon_L423_ : (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((h3 (op1 (e11) (e13))) = (op2 (h3 (e11)) (h3 (e13))))) -> ((op2 (e21) (e23)) = (e23)) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> ((e23) = (op2 (e22) (e22))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (op1 (e12) (e13))) = (e13))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((e11) = (e12))) -> False).
% 43.17/43.38 do 0 intro. intros zenon_H189 zenon_Hc1 zenon_H105 zenon_H3c8 zenon_H25e zenon_H36f zenon_H22b zenon_H30 zenon_H33 zenon_H11a zenon_H39c zenon_H6a zenon_H66 zenon_H6f zenon_H5f zenon_H60 zenon_H6e zenon_H100 zenon_H133 zenon_H126 zenon_He0 zenon_H48 zenon_H57 zenon_Hc4 zenon_H169.
% 43.17/43.38 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H183 | zenon_intro zenon_H18a ].
% 43.17/43.38 apply (zenon_L422_); trivial.
% 43.17/43.38 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H68 | zenon_intro zenon_H18b ].
% 43.17/43.38 apply (zenon_L21_); trivial.
% 43.17/43.38 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_Hff | zenon_intro zenon_H185 ].
% 43.17/43.38 apply (zenon_L55_); trivial.
% 43.17/43.38 apply (zenon_L133_); trivial.
% 43.17/43.38 (* end of lemma zenon_L423_ *)
% 43.17/43.38 assert (zenon_L424_ : (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (e23))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (e21) (e20)) = (e20)) -> (~((e20) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((e11) = (e12))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (op1 (e12) (e13))) = (e13))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((h3 (op1 (e11) (e13))) = (op2 (h3 (e11)) (h3 (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((e21) = (e23))) -> False).
% 43.17/43.38 do 0 intro. intros zenon_H27c zenon_Ha3 zenon_H9c zenon_H99 zenon_H80 zenon_H93 zenon_Ha2 zenon_H169 zenon_Hc4 zenon_H57 zenon_H48 zenon_He0 zenon_H126 zenon_H133 zenon_H100 zenon_H6e zenon_H60 zenon_H5f zenon_H6f zenon_H66 zenon_H6a zenon_H39c zenon_H11a zenon_H30 zenon_H36f zenon_H3c8 zenon_H105 zenon_Hc1 zenon_H189 zenon_H264 zenon_H279 zenon_H26a zenon_H22a zenon_H33 zenon_H22b zenon_H26e zenon_H276.
% 43.17/43.38 apply (zenon_or_s _ _ zenon_H27c); [ zenon_intro zenon_H92 | zenon_intro zenon_H280 ].
% 43.17/43.38 apply (zenon_L31_); trivial.
% 43.17/43.38 apply (zenon_or_s _ _ zenon_H280); [ zenon_intro zenon_H25e | zenon_intro zenon_H281 ].
% 43.17/43.38 apply (zenon_L423_); trivial.
% 43.17/43.38 apply (zenon_or_s _ _ zenon_H281); [ zenon_intro zenon_H263 | zenon_intro zenon_H275 ].
% 43.17/43.38 apply (zenon_L179_); trivial.
% 43.17/43.38 apply (zenon_L183_); trivial.
% 43.17/43.38 (* end of lemma zenon_L424_ *)
% 43.17/43.38 assert (zenon_L425_ : (((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13)))))))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (e23))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (e21) (e20)) = (e20)) -> (~((e20) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((e11) = (e12))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((h3 (op1 (e11) (e13))) = (op2 (h3 (e11)) (h3 (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((e21) = (e23))) -> False).
% 43.17/43.38 do 0 intro. intros zenon_H112 zenon_H27c zenon_Ha3 zenon_H9c zenon_H99 zenon_H80 zenon_H93 zenon_Ha2 zenon_H169 zenon_Hc4 zenon_H57 zenon_H48 zenon_He0 zenon_H126 zenon_H133 zenon_H6e zenon_H60 zenon_H5f zenon_H6f zenon_H66 zenon_H6a zenon_H39c zenon_H11a zenon_H30 zenon_H36f zenon_H3c8 zenon_H105 zenon_Hc1 zenon_H189 zenon_H264 zenon_H279 zenon_H26a zenon_H22a zenon_H33 zenon_H22b zenon_H26e zenon_H276.
% 43.17/43.38 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H114. zenon_intro zenon_H113.
% 43.17/43.38 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_H67. zenon_intro zenon_Hee.
% 43.17/43.38 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_Hef. zenon_intro zenon_H115.
% 43.17/43.38 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_H117. zenon_intro zenon_H116.
% 43.17/43.38 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H118. zenon_intro zenon_H100.
% 43.17/43.38 apply (zenon_L424_); trivial.
% 43.17/43.38 (* end of lemma zenon_L425_ *)
% 43.17/43.38 assert (zenon_L426_ : ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))))))))))))))))) -> (((op1 (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 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((e21) = (e23))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((h3 (op1 (e11) (e13))) = (op2 (h3 (e11)) (h3 (e13))))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((e11) = (e12))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((e20) = (e23))) -> ((op2 (e21) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (e23))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e12) = (e13))) -> (~((op1 (e13) (e10)) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((e11) = (e13))) -> False).
% 43.17/43.38 do 0 intro. intros zenon_H142 zenon_H78 zenon_H4f zenon_H56 zenon_Hac zenon_Hb2 zenon_Hbd zenon_Hca zenon_He8 zenon_H276 zenon_H26e zenon_H22b zenon_H33 zenon_H22a zenon_H26a zenon_H279 zenon_H264 zenon_H189 zenon_H3c8 zenon_H36f zenon_H30 zenon_H39c zenon_H6a zenon_H66 zenon_H6f zenon_H5f zenon_H60 zenon_H6e zenon_H169 zenon_Ha2 zenon_H93 zenon_H80 zenon_H99 zenon_H9c zenon_Ha3 zenon_H27c zenon_H11a zenon_H123 zenon_H105 zenon_H133 zenon_H126 zenon_He0 zenon_H48 zenon_H57 zenon_Hc4 zenon_Hc1.
% 43.17/43.38 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H26 | zenon_intro zenon_H143 ].
% 43.17/43.38 apply (zenon_L8_); trivial.
% 43.17/43.38 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H144 ].
% 43.17/43.38 apply (zenon_L421_); trivial.
% 43.17/43.38 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H145 ].
% 43.17/43.38 apply (zenon_L34_); trivial.
% 43.17/43.38 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H146 ].
% 43.17/43.38 apply (zenon_L36_); trivial.
% 43.17/43.38 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hcd | zenon_intro zenon_H147 ].
% 43.17/43.38 apply (zenon_L42_); trivial.
% 43.17/43.38 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H148 ].
% 43.17/43.38 apply (zenon_L45_); trivial.
% 43.17/43.38 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_Hde | zenon_intro zenon_H149 ].
% 43.17/43.38 apply (zenon_L46_); trivial.
% 43.17/43.38 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_He6 | zenon_intro zenon_H14a ].
% 43.17/43.39 apply (zenon_L48_); trivial.
% 43.17/43.39 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Heb | zenon_intro zenon_H14b ].
% 43.17/43.39 apply (zenon_L51_); trivial.
% 43.17/43.39 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H112 | zenon_intro zenon_H14c ].
% 43.17/43.39 apply (zenon_L425_); trivial.
% 43.17/43.39 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H11d | zenon_intro zenon_H14d ].
% 43.17/43.39 apply (zenon_L61_); trivial.
% 43.17/43.39 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H11f | zenon_intro zenon_H14e ].
% 43.17/43.39 apply (zenon_L62_); trivial.
% 43.17/43.39 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H122 | zenon_intro zenon_H14f ].
% 43.17/43.39 apply (zenon_L63_); trivial.
% 43.17/43.39 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H132 | zenon_intro zenon_H150 ].
% 43.17/43.39 apply (zenon_L66_); trivial.
% 43.17/43.39 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H13b | zenon_intro zenon_H140 ].
% 43.17/43.39 apply (zenon_L67_); trivial.
% 43.17/43.39 apply (zenon_L70_); trivial.
% 43.17/43.39 (* end of lemma zenon_L426_ *)
% 43.17/43.39 assert (zenon_L427_ : ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))))))))))))))))) -> (~((op1 (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) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((e23) = (op2 (e22) (e22))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (op2 (e22) (e20))) = (e20))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (e23))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((e20) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((e11) = (e12))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((h3 (op1 (e11) (e13))) = (op2 (h3 (e11)) (h3 (e13))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((e21) = (e23))) -> (~((op2 (e20) (e20)) = (e20))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((e12) = (e13))) -> (~((op1 (e13) (e10)) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((e11) = (e13))) -> False).
% 43.17/43.39 do 0 intro. intros zenon_H142 zenon_H56 zenon_H4f zenon_H78 zenon_Hac zenon_Hb2 zenon_Hbd zenon_Hca zenon_He8 zenon_H33 zenon_H2c zenon_H20a zenon_H28a zenon_H27c zenon_Ha3 zenon_H9c zenon_H80 zenon_H93 zenon_Ha2 zenon_H169 zenon_H6e zenon_H60 zenon_H5f zenon_H6f zenon_H66 zenon_H6a zenon_H39c zenon_H30 zenon_H36f zenon_H3c8 zenon_H189 zenon_H264 zenon_H279 zenon_H26a zenon_H22a zenon_H22b zenon_H26e zenon_H276 zenon_H15 zenon_H29c zenon_H11a zenon_H123 zenon_H105 zenon_H133 zenon_H126 zenon_He0 zenon_H48 zenon_H57 zenon_Hc4 zenon_Hc1.
% 43.17/43.39 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H26 | zenon_intro zenon_H143 ].
% 43.17/43.39 apply (zenon_L8_); trivial.
% 43.17/43.39 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H144 ].
% 43.17/43.39 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H40. zenon_intro zenon_Ha9.
% 43.17/43.39 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_H50. zenon_intro zenon_H28.
% 43.17/43.39 apply (zenon_or_s _ _ zenon_H29c); [ zenon_intro zenon_H14 | zenon_intro zenon_H2a1 ].
% 43.17/43.39 exact (zenon_H15 zenon_H14).
% 43.17/43.39 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H99 | zenon_intro zenon_H2a2 ].
% 43.17/43.39 apply (zenon_L420_); trivial.
% 43.17/43.39 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H24a | zenon_intro zenon_H20b ].
% 43.17/43.39 apply (zenon_L188_); trivial.
% 43.17/43.39 apply (zenon_L155_); trivial.
% 43.17/43.39 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H145 ].
% 43.17/43.39 apply (zenon_L34_); trivial.
% 43.17/43.39 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H146 ].
% 43.17/43.39 apply (zenon_L36_); trivial.
% 43.17/43.39 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hcd | zenon_intro zenon_H147 ].
% 43.17/43.39 apply (zenon_L42_); trivial.
% 43.17/43.39 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H148 ].
% 43.17/43.39 apply (zenon_L45_); trivial.
% 43.17/43.39 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_Hde | zenon_intro zenon_H149 ].
% 43.17/43.39 apply (zenon_L46_); trivial.
% 43.17/43.39 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_He6 | zenon_intro zenon_H14a ].
% 43.17/43.39 apply (zenon_L48_); trivial.
% 43.17/43.39 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Heb | zenon_intro zenon_H14b ].
% 43.17/43.39 apply (zenon_L51_); trivial.
% 43.17/43.39 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H112 | zenon_intro zenon_H14c ].
% 43.17/43.39 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H114. zenon_intro zenon_H113.
% 43.17/43.39 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_H67. zenon_intro zenon_Hee.
% 43.17/43.39 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_Hef. zenon_intro zenon_H115.
% 43.17/43.39 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_H117. zenon_intro zenon_H116.
% 43.17/43.39 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H118. zenon_intro zenon_H100.
% 43.17/43.39 apply (zenon_or_s _ _ zenon_H29c); [ zenon_intro zenon_H14 | zenon_intro zenon_H2a1 ].
% 43.17/43.39 exact (zenon_H15 zenon_H14).
% 43.17/43.39 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H99 | zenon_intro zenon_H2a2 ].
% 43.17/43.39 apply (zenon_L424_); trivial.
% 43.17/43.39 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H24a | zenon_intro zenon_H20b ].
% 43.17/43.39 apply (zenon_L188_); trivial.
% 43.17/43.39 apply (zenon_L155_); trivial.
% 43.17/43.39 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H11d | zenon_intro zenon_H14d ].
% 43.17/43.39 apply (zenon_L61_); trivial.
% 43.17/43.39 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H11f | zenon_intro zenon_H14e ].
% 43.17/43.39 apply (zenon_L62_); trivial.
% 43.17/43.39 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H122 | zenon_intro zenon_H14f ].
% 43.17/43.39 apply (zenon_L63_); trivial.
% 43.17/43.39 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H132 | zenon_intro zenon_H150 ].
% 43.17/43.39 apply (zenon_L66_); trivial.
% 43.17/43.39 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H13b | zenon_intro zenon_H140 ].
% 43.17/43.39 apply (zenon_L67_); trivial.
% 43.17/43.39 apply (zenon_L70_); trivial.
% 43.17/43.39 (* end of lemma zenon_L427_ *)
% 43.17/43.39 assert (zenon_L428_ : (((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23)))))))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((e21) = (e23))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((h3 (op1 (e11) (e13))) = (op2 (h3 (e11)) (h3 (e13))))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((e20) = (e23))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (e23))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((e23) = (op2 (e22) (e22))) -> (((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 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (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)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e12) = (e13))) -> (~((e10) = (e12))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))))))))))))))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> False).
% 43.17/43.39 do 0 intro. intros zenon_H2a5 zenon_H1fe zenon_H1d8 zenon_H1c8 zenon_H1aa zenon_H1b0 zenon_H1ba zenon_Hf6 zenon_H1bf zenon_H1a8 zenon_H1c3 zenon_H47 zenon_H1a4 zenon_H19f zenon_H19e zenon_H29c zenon_H15 zenon_H276 zenon_H26e zenon_H22b zenon_H22a zenon_H26a zenon_H279 zenon_H264 zenon_H3c8 zenon_H36f zenon_H30 zenon_H39c zenon_Ha2 zenon_H93 zenon_H80 zenon_H9c zenon_Ha3 zenon_H27c zenon_H20a zenon_H2c zenon_H33 zenon_H78 zenon_H4f zenon_H56 zenon_H1b6 zenon_H1d2 zenon_H1be zenon_H1d3 zenon_H73 zenon_H1d5 zenon_H1c2 zenon_H1fc zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H1e4 zenon_H1e0 zenon_H1f4 zenon_H1f3 zenon_H1d9 zenon_H1db zenon_H169 zenon_H11a zenon_H17b zenon_H142 zenon_H152 zenon_Hac zenon_Hb2 zenon_H15c zenon_H126 zenon_H161 zenon_H18c zenon_H57 zenon_He0 zenon_H17f zenon_H66 zenon_H182 zenon_H189 zenon_H174 zenon_H16e zenon_H178 zenon_H105 zenon_Hc1 zenon_H6a zenon_He8 zenon_H5f zenon_H6e zenon_Hf9 zenon_Hca zenon_Hbd zenon_H166 zenon_H16b zenon_H192 zenon_H133 zenon_H42 zenon_H60 zenon_H48 zenon_Hc4.
% 43.17/43.39 apply (zenon_and_s _ _ zenon_H2a5). zenon_intro zenon_H282. zenon_intro zenon_H2a6.
% 43.17/43.39 apply (zenon_and_s _ _ zenon_H2a6). zenon_intro zenon_H23c. zenon_intro zenon_H248.
% 43.17/43.39 apply (zenon_and_s _ _ zenon_H248). zenon_intro zenon_H28a. zenon_intro zenon_H2a7.
% 43.17/43.39 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H21 | zenon_intro zenon_H1a5 ].
% 43.17/43.39 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H6f | zenon_intro zenon_H193 ].
% 43.17/43.39 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H123 | zenon_intro zenon_H1a5 ].
% 43.17/43.39 apply (zenon_L427_); trivial.
% 43.17/43.39 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H20 | zenon_intro zenon_H1a6 ].
% 43.17/43.39 exact (zenon_H21 zenon_H20).
% 43.17/43.39 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H151 | zenon_intro zenon_H1a7 ].
% 43.17/43.39 apply (zenon_L100_); trivial.
% 43.17/43.39 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H196 | zenon_intro zenon_H198 ].
% 43.17/43.39 apply (zenon_L101_); trivial.
% 43.17/43.39 apply (zenon_L102_); trivial.
% 43.17/43.39 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H17c | zenon_intro zenon_H194 ].
% 43.17/43.39 apply (zenon_L104_); trivial.
% 43.17/43.39 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H18f | zenon_intro zenon_H195 ].
% 43.17/43.39 apply (zenon_L132_); trivial.
% 43.17/43.39 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H119 | zenon_intro zenon_H185 ].
% 43.17/43.39 apply (zenon_L60_); trivial.
% 43.17/43.39 apply (zenon_L133_); trivial.
% 43.17/43.39 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H20 | zenon_intro zenon_H1a6 ].
% 43.17/43.39 apply (zenon_L149_); trivial.
% 43.17/43.39 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H151 | zenon_intro zenon_H1a7 ].
% 43.17/43.39 apply (zenon_L100_); trivial.
% 43.17/43.39 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H196 | zenon_intro zenon_H198 ].
% 43.17/43.39 apply (zenon_L101_); trivial.
% 43.17/43.39 apply (zenon_L102_); trivial.
% 43.17/43.39 (* end of lemma zenon_L428_ *)
% 43.17/43.39 assert (zenon_L429_ : ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((h3 (op1 (e11) (e13))) = (op2 (h3 (e11)) (h3 (e13))))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((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 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (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)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e12) = (e13))) -> (~((e10) = (e12))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))))))))))))))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op2 (e21) (e22)) = (e21))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((e21) = (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e22) = (e23))) -> (~((e20) = (e22))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))))))))))))))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((e21) = (e23))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e21) (e21)) = (e21)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (~((e20) = (e23))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> False).
% 43.17/43.39 do 0 intro. intros zenon_H337 zenon_H1fe zenon_H1d8 zenon_H1c8 zenon_H1aa zenon_H1b0 zenon_H1ba zenon_Hf6 zenon_H1bf zenon_H1a8 zenon_H1c3 zenon_H47 zenon_H1a4 zenon_H19f zenon_H19e zenon_H29c zenon_H3c8 zenon_H36f zenon_H30 zenon_H39c zenon_Ha2 zenon_H9c zenon_H27c zenon_H78 zenon_H4f zenon_H56 zenon_H1b6 zenon_H1d2 zenon_H1be zenon_H1d3 zenon_H73 zenon_H1d5 zenon_H1c2 zenon_H1fc zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H1e4 zenon_H1e0 zenon_H1f4 zenon_H1f3 zenon_H1d9 zenon_H1db zenon_H169 zenon_H11a zenon_H17b zenon_H142 zenon_H152 zenon_Hac zenon_Hb2 zenon_H15c zenon_H126 zenon_H161 zenon_H18c zenon_H57 zenon_He0 zenon_H17f zenon_H66 zenon_H182 zenon_H189 zenon_H174 zenon_H16e zenon_H178 zenon_H105 zenon_Hc1 zenon_H6a zenon_He8 zenon_H5f zenon_H6e zenon_Hf9 zenon_Hca zenon_Hbd zenon_H166 zenon_H16b zenon_H192 zenon_H133 zenon_H42 zenon_H60 zenon_H48 zenon_Hc4 zenon_H226 zenon_H15 zenon_H2f1 zenon_H22b zenon_H22a zenon_H26a zenon_H279 zenon_H288 zenon_H304 zenon_H2c7 zenon_H2d7 zenon_H204 zenon_H20a zenon_H2e6 zenon_H2eb zenon_H30b zenon_H30e zenon_H2fe zenon_H93 zenon_H31e zenon_H316 zenon_H311 zenon_H321 zenon_H264 zenon_H276 zenon_H23e zenon_H23a zenon_H234 zenon_H242 zenon_H290 zenon_H2e3 zenon_H2de zenon_H2ee zenon_H2f3 zenon_H32b zenon_H25d zenon_H2f9 zenon_H2f6 zenon_H301 zenon_H324 zenon_H32f zenon_H330 zenon_H80 zenon_H2c zenon_H33 zenon_H26e.
% 43.17/43.39 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H338 ].
% 43.17/43.39 apply (zenon_or_s _ _ zenon_H2c7); [ zenon_intro zenon_H1a | zenon_intro zenon_H2c8 ].
% 43.17/43.39 apply (zenon_L4_); trivial.
% 43.17/43.39 apply (zenon_or_s _ _ zenon_H2c8); [ zenon_intro zenon_H1fd | zenon_intro zenon_H2c9 ].
% 43.17/43.39 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_H7e. zenon_intro zenon_H200.
% 43.17/43.39 apply (zenon_and_s _ _ zenon_H200). zenon_intro zenon_H99. zenon_intro zenon_H1c.
% 43.17/43.39 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H21 | zenon_intro zenon_H1a5 ].
% 43.17/43.39 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H6f | zenon_intro zenon_H193 ].
% 43.17/43.39 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H123 | zenon_intro zenon_H1a5 ].
% 43.17/43.39 apply (zenon_L426_); trivial.
% 43.17/43.39 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H20 | zenon_intro zenon_H1a6 ].
% 43.17/43.39 exact (zenon_H21 zenon_H20).
% 43.17/43.39 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H151 | zenon_intro zenon_H1a7 ].
% 43.17/43.39 apply (zenon_L100_); trivial.
% 43.17/43.39 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H196 | zenon_intro zenon_H198 ].
% 43.17/43.39 apply (zenon_L101_); trivial.
% 43.17/43.39 apply (zenon_L102_); trivial.
% 43.17/43.39 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H17c | zenon_intro zenon_H194 ].
% 43.17/43.39 apply (zenon_L104_); trivial.
% 43.17/43.39 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H18f | zenon_intro zenon_H195 ].
% 43.17/43.39 apply (zenon_L132_); trivial.
% 43.17/43.39 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H119 | zenon_intro zenon_H185 ].
% 43.17/43.39 apply (zenon_L60_); trivial.
% 43.17/43.39 apply (zenon_L133_); trivial.
% 43.17/43.39 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H20 | zenon_intro zenon_H1a6 ].
% 43.17/43.39 apply (zenon_L149_); trivial.
% 43.17/43.39 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H151 | zenon_intro zenon_H1a7 ].
% 43.17/43.39 apply (zenon_L100_); trivial.
% 43.17/43.39 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H196 | zenon_intro zenon_H198 ].
% 43.17/43.39 apply (zenon_L101_); trivial.
% 43.17/43.39 apply (zenon_L102_); trivial.
% 43.17/43.39 apply (zenon_or_s _ _ zenon_H2c9); [ zenon_intro zenon_H208 | zenon_intro zenon_H2ca ].
% 43.17/43.39 apply (zenon_L154_); trivial.
% 43.17/43.39 apply (zenon_or_s _ _ zenon_H2ca); [ zenon_intro zenon_H210 | zenon_intro zenon_H2cb ].
% 43.17/43.39 apply (zenon_L156_); trivial.
% 43.17/43.39 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H213 | zenon_intro zenon_H2cc ].
% 43.17/43.39 apply (zenon_L211_); trivial.
% 43.17/43.39 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H21b | zenon_intro zenon_H2cd ].
% 43.17/43.39 apply (zenon_L160_); trivial.
% 43.17/43.39 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H225 | zenon_intro zenon_H2ce ].
% 43.17/43.39 apply (zenon_L161_); trivial.
% 43.17/43.39 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H231 | zenon_intro zenon_H2cf ].
% 43.17/43.39 apply (zenon_L164_); trivial.
% 43.17/43.39 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_H245 | zenon_intro zenon_H2d0 ].
% 43.17/43.39 apply (zenon_L169_); trivial.
% 43.17/43.39 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H2a5 | zenon_intro zenon_H2d1 ].
% 43.17/43.39 apply (zenon_L428_); trivial.
% 43.17/43.39 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H2ae | zenon_intro zenon_H2d2 ].
% 43.17/43.39 apply (zenon_L198_); trivial.
% 43.17/43.39 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H2b0 | zenon_intro zenon_H2d3 ].
% 43.17/43.39 apply (zenon_L199_); trivial.
% 43.17/43.39 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H2b3 | zenon_intro zenon_H2d4 ].
% 43.17/43.39 apply (zenon_L200_); trivial.
% 43.17/43.39 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_H2bc | zenon_intro zenon_H2d5 ].
% 43.17/43.39 apply (zenon_L202_); trivial.
% 43.17/43.39 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2c5 ].
% 43.17/43.39 apply (zenon_L203_); trivial.
% 43.17/43.39 apply (zenon_L204_); trivial.
% 43.17/43.39 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ].
% 43.17/43.39 exact (zenon_H15 zenon_H14).
% 43.17/43.39 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ].
% 43.17/43.39 apply (zenon_L251_); trivial.
% 43.17/43.39 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ].
% 43.17/43.39 apply (zenon_L173_); trivial.
% 43.17/43.39 apply (zenon_L252_); trivial.
% 43.17/43.39 (* end of lemma zenon_L429_ *)
% 43.17/43.39 assert (zenon_L430_ : ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = 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(e23))))))))))))))))))))))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e20)) = (e21))) -> (~((e21) = (e22))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> ((op2 (e20) (e20)) = (e22)) 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(e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((e20) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((h3 (op1 (e11) (e13))) = (op2 (h3 (e11)) (h3 (e13))))) -> (~((op2 (e20) (e20)) = (e20))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (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) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((e22) = (e23))) -> (~((op2 (e23) (e20)) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((e21) = (e23))) -> False).
% 43.17/43.39 do 0 intro. intros zenon_H2c7 zenon_H304 zenon_H85 zenon_H27d zenon_H249 zenon_H24d zenon_H25d zenon_H256 zenon_H253 zenon_H260 zenon_Ha8 zenon_H204 zenon_H2eb zenon_H214 zenon_H2f1 zenon_H30b zenon_H25a zenon_H30e zenon_Hc4 zenon_H48 zenon_H60 zenon_H42 zenon_H133 zenon_H192 zenon_H16b zenon_H166 zenon_Hbd zenon_Hca zenon_Hf9 zenon_H6e zenon_H5f zenon_He8 zenon_H6a zenon_Hc1 zenon_H105 zenon_H178 zenon_H16e zenon_H174 zenon_H189 zenon_H182 zenon_H66 zenon_H17f zenon_He0 zenon_H57 zenon_H18c zenon_H161 zenon_H126 zenon_H15c zenon_Hb2 zenon_Hac zenon_H152 zenon_H142 zenon_H17b zenon_H11a zenon_H169 zenon_H1db zenon_H1d9 zenon_H1f3 zenon_H1f4 zenon_H1e0 zenon_H1e4 zenon_H1ed zenon_H1ec zenon_H1f5 zenon_H1fc zenon_H1c2 zenon_H1d5 zenon_H73 zenon_H1d3 zenon_H1be zenon_H1d2 zenon_H1b6 zenon_H56 zenon_H4f zenon_H78 zenon_H2c zenon_H20a zenon_H27c zenon_H9c zenon_H80 zenon_H93 zenon_Ha2 zenon_H39c zenon_H30 zenon_H36f zenon_H3c8 zenon_H15 zenon_H29c zenon_H19e zenon_H19f zenon_H1a4 zenon_H47 zenon_H1c3 zenon_H1a8 zenon_H1bf zenon_Hf6 zenon_H1ba zenon_H1b0 zenon_H1aa zenon_H1c8 zenon_H1d8 zenon_H1fe zenon_H288 zenon_Ha3 zenon_H264 zenon_H279 zenon_H26a zenon_H22a zenon_H33 zenon_H22b zenon_H26e zenon_H276.
% 43.17/43.39 apply (zenon_or_s _ _ zenon_H2c7); [ zenon_intro zenon_H1a | zenon_intro zenon_H2c8 ].
% 43.17/43.39 apply (zenon_L227_); trivial.
% 43.17/43.39 apply (zenon_or_s _ _ zenon_H2c8); [ zenon_intro zenon_H1fd | zenon_intro zenon_H2c9 ].
% 43.17/43.39 apply (zenon_L253_); trivial.
% 43.17/43.39 apply (zenon_or_s _ _ zenon_H2c9); [ zenon_intro zenon_H208 | zenon_intro zenon_H2ca ].
% 43.17/43.39 apply (zenon_L154_); trivial.
% 43.17/43.39 apply (zenon_or_s _ _ zenon_H2ca); [ zenon_intro zenon_H210 | zenon_intro zenon_H2cb ].
% 43.17/43.39 apply (zenon_L156_); trivial.
% 43.17/43.39 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H213 | zenon_intro zenon_H2cc ].
% 43.17/43.39 apply (zenon_L157_); trivial.
% 43.17/43.39 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H21b | zenon_intro zenon_H2cd ].
% 43.17/43.39 apply (zenon_L160_); trivial.
% 43.17/43.39 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H225 | zenon_intro zenon_H2ce ].
% 43.17/43.39 apply (zenon_L255_); trivial.
% 43.17/43.39 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H231 | zenon_intro zenon_H2cf ].
% 43.17/43.39 apply (zenon_L164_); trivial.
% 43.17/43.39 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_H245 | zenon_intro zenon_H2d0 ].
% 43.17/43.39 apply (zenon_L232_); trivial.
% 43.17/43.39 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H2a5 | zenon_intro zenon_H2d1 ].
% 43.17/43.39 apply (zenon_L428_); trivial.
% 43.17/43.39 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H2ae | zenon_intro zenon_H2d2 ].
% 43.17/43.39 apply (zenon_L198_); trivial.
% 43.17/43.39 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H2b0 | zenon_intro zenon_H2d3 ].
% 43.17/43.39 apply (zenon_L199_); trivial.
% 43.17/43.39 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H2b3 | zenon_intro zenon_H2d4 ].
% 43.17/43.39 apply (zenon_L200_); trivial.
% 43.17/43.39 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_H2bc | zenon_intro zenon_H2d5 ].
% 43.17/43.39 apply (zenon_L202_); trivial.
% 43.17/43.39 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2c5 ].
% 43.17/43.40 apply (zenon_L203_); trivial.
% 43.17/43.40 apply (zenon_L204_); trivial.
% 43.17/43.40 (* end of lemma zenon_L430_ *)
% 43.17/43.40 assert (zenon_L431_ : (~((op2 (e21) (e20)) = (e21))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))))))))))))))))) -> (~((e10) = (e12))) -> (~((e12) = (e13))) -> (~((e11) = (e12))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (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 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (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) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((h3 (op1 (e11) (e13))) = (op2 (h3 (e11)) (h3 (e13))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (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) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op2 (e21) (e21)) = (e21))) -> ((~((op2 (e21) (e20)) = (e21)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((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)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((e21) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((e22) = (e23))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((op2 (e20) (e20)) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((e20) = (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))))))))))))))))) -> ((~((op2 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> ((~((op2 (e21) (e21)) = (e21)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (~((e20) = (e23))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> False).
% 43.17/43.40 do 0 intro. intros zenon_H214 zenon_Hc4 zenon_H48 zenon_H60 zenon_H42 zenon_H133 zenon_H192 zenon_H16b zenon_H166 zenon_Hbd zenon_Hca zenon_Hf9 zenon_H6e zenon_H5f zenon_He8 zenon_H6a zenon_Hc1 zenon_H105 zenon_H178 zenon_H16e zenon_H174 zenon_H189 zenon_H182 zenon_H66 zenon_H17f zenon_He0 zenon_H57 zenon_H18c zenon_H161 zenon_H126 zenon_H15c zenon_Hb2 zenon_Hac zenon_H152 zenon_H142 zenon_H17b zenon_H11a zenon_H169 zenon_H1db zenon_H1d9 zenon_H1f3 zenon_H1f4 zenon_H1e0 zenon_H1e4 zenon_H1ed zenon_H1ec zenon_H1f5 zenon_H1fc zenon_H1c2 zenon_H1d5 zenon_H73 zenon_H1d3 zenon_H1be zenon_H1d2 zenon_H1b6 zenon_H56 zenon_H4f zenon_H78 zenon_H39c zenon_H30 zenon_H36f zenon_H3c8 zenon_H29c zenon_H19e zenon_H19f zenon_H1a4 zenon_H47 zenon_H1c3 zenon_H1a8 zenon_H1bf zenon_Hf6 zenon_H1ba zenon_H1b0 zenon_H1aa zenon_H1c8 zenon_H1d8 zenon_H1fe zenon_H21a zenon_H33b zenon_H9c zenon_Ha2 zenon_H85 zenon_H27d zenon_H249 zenon_H24d zenon_H27c zenon_H256 zenon_H253 zenon_H260 zenon_Ha8 zenon_H337 zenon_H15 zenon_H276 zenon_H264 zenon_H321 zenon_H311 zenon_H316 zenon_H288 zenon_H31e zenon_H25a zenon_H93 zenon_H2fe zenon_H2f1 zenon_H30e zenon_H22a zenon_H22b zenon_H30b zenon_H2eb zenon_H26a zenon_H2e6 zenon_H20a zenon_H204 zenon_H2d7 zenon_H2c7 zenon_H32f zenon_H324 zenon_H301 zenon_H2f6 zenon_H2f9 zenon_H25d zenon_H32b zenon_H2f3 zenon_H2ee zenon_H2de zenon_H2e3 zenon_H290 zenon_H242 zenon_H234 zenon_H23a zenon_H23e zenon_H304 zenon_H279 zenon_H330 zenon_H80 zenon_H2c zenon_H33 zenon_H26e.
% 43.17/43.40 apply (zenon_or_s _ _ zenon_H32f); [ zenon_intro zenon_H310 | zenon_intro zenon_H325 ].
% 43.17/43.40 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H338 ].
% 43.17/43.40 apply (zenon_L430_); trivial.
% 43.17/43.40 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ].
% 43.17/43.40 exact (zenon_H15 zenon_H14).
% 43.17/43.40 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ].
% 43.17/43.40 apply (zenon_L243_); trivial.
% 43.17/43.40 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ].
% 43.17/43.40 apply (zenon_L173_); trivial.
% 43.17/43.40 apply (zenon_L252_); trivial.
% 43.17/43.40 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H309 | zenon_intro zenon_H326 ].
% 43.17/43.40 apply (zenon_L230_); trivial.
% 43.17/43.40 apply (zenon_or_s _ _ zenon_H326); [ zenon_intro zenon_H219 | zenon_intro zenon_H327 ].
% 43.17/43.40 exact (zenon_H21a zenon_H219).
% 43.17/43.40 apply (zenon_or_s _ _ zenon_H327); [ zenon_intro zenon_H2e1 | zenon_intro zenon_H274 ].
% 43.17/43.40 apply (zenon_L209_); trivial.
% 43.17/43.40 apply (zenon_L260_); trivial.
% 43.17/43.40 (* end of lemma zenon_L431_ *)
% 43.17/43.40 assert (zenon_L432_ : (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))))))))))))))))) -> (~((e10) = (e12))) -> (~((e12) = (e13))) -> (~((e11) = (e12))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (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 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (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))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((h3 (op1 (e11) (e13))) = (op2 (h3 (e11)) (h3 (e13))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (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) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (~((e20) = (e23))) -> ((~((op2 (e21) (e21)) = (e21)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((e21) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((e20) = (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))))))))))))))))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e20)) = (e20))) -> ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (e21))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e20)) = (e21)) -> ((~((op2 (e22) (e20)) = (e22)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((e22) = (e23))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((e21) = (e22))) -> False).
% 43.17/43.40 do 0 intro. intros zenon_Hc4 zenon_H48 zenon_H60 zenon_H42 zenon_H133 zenon_H192 zenon_H16b zenon_H166 zenon_Hbd zenon_Hca zenon_Hf9 zenon_H6e zenon_H5f zenon_He8 zenon_H6a zenon_Hc1 zenon_H105 zenon_H178 zenon_H16e zenon_H174 zenon_H189 zenon_H182 zenon_H66 zenon_H17f zenon_He0 zenon_H57 zenon_H18c zenon_H161 zenon_H126 zenon_H15c zenon_Hb2 zenon_Hac zenon_H152 zenon_H142 zenon_H17b zenon_H11a zenon_H169 zenon_H1db zenon_H1d9 zenon_H1f3 zenon_H1f4 zenon_H1e0 zenon_H1e4 zenon_H1ed zenon_H1ec zenon_H1f5 zenon_H1fc zenon_H1c2 zenon_H1d5 zenon_H73 zenon_H1d3 zenon_H1be zenon_H1d2 zenon_H1b6 zenon_H56 zenon_H4f zenon_H78 zenon_Ha2 zenon_H39c zenon_H30 zenon_H36f zenon_H3c8 zenon_H29c zenon_H19e zenon_H19f zenon_H1a4 zenon_H47 zenon_H1c3 zenon_H1a8 zenon_H1bf zenon_Hf6 zenon_H1ba zenon_H1b0 zenon_H1aa zenon_H1c8 zenon_H1d8 zenon_H1fe zenon_H2c zenon_H80 zenon_H330 zenon_H32f zenon_H324 zenon_H301 zenon_H2f6 zenon_H2f9 zenon_H25d zenon_H32b zenon_H2f3 zenon_H2ee zenon_H2de zenon_H2e3 zenon_H290 zenon_H242 zenon_H234 zenon_H23a zenon_H23e zenon_H276 zenon_H264 zenon_H321 zenon_H311 zenon_H316 zenon_H31e zenon_H93 zenon_H2fe zenon_H30e zenon_H30b zenon_H2eb zenon_H2e6 zenon_H20a zenon_H204 zenon_H2d7 zenon_H2c7 zenon_H304 zenon_H15 zenon_H337 zenon_H352 zenon_H33d zenon_H24d zenon_H349 zenon_H27d zenon_H342 zenon_H260 zenon_H253 zenon_H33c zenon_H27c zenon_H33e zenon_H85 zenon_H214 zenon_H29d zenon_H345 zenon_H249 zenon_H9c zenon_H256 zenon_H309 zenon_H354 zenon_H288 zenon_H279 zenon_H26a zenon_H22a zenon_H33 zenon_H22b zenon_H26e zenon_H2f1.
% 43.17/43.40 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H226 | zenon_intro zenon_H32c ].
% 43.17/43.40 apply (zenon_L429_); trivial.
% 43.17/43.40 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H25a | zenon_intro zenon_H32d ].
% 43.17/43.40 apply (zenon_L230_); trivial.
% 43.17/43.40 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H328 | zenon_intro zenon_H32e ].
% 43.17/43.40 apply (zenon_L296_); trivial.
% 43.17/43.40 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H2ab | zenon_intro zenon_H31a ].
% 43.17/43.40 apply (zenon_L197_); trivial.
% 43.17/43.40 apply (zenon_L245_); trivial.
% 43.17/43.40 (* end of lemma zenon_L432_ *)
% 43.17/43.40 assert (zenon_L433_ : ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((e21) = (e23))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((e22) = (e23))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((h3 (op1 (e11) (e13))) = (op2 (h3 (e11)) (h3 (e13))))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((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 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (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)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e12) = (e13))) -> (~((e10) = (e12))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))))))))))))))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e20) (e20)) = (e22)) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((e21) = (e22))) -> (~((op2 (e21) (e20)) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((e20) = (e22))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))))))))))))))))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((e20) = (e21))) -> ((op2 (e21) (e21)) = (e21)) -> (~((e20) = (e23))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> False).
% 43.17/43.40 do 0 intro. intros zenon_H337 zenon_H276 zenon_H22b zenon_H22a zenon_H26a zenon_H279 zenon_H264 zenon_H288 zenon_H1fe zenon_H1d8 zenon_H1c8 zenon_H1aa zenon_H1b0 zenon_H1ba zenon_Hf6 zenon_H1bf zenon_H1a8 zenon_H1c3 zenon_H47 zenon_H1a4 zenon_H19f zenon_H19e zenon_H29c zenon_H3c8 zenon_H36f zenon_H30 zenon_H39c zenon_Ha2 zenon_H93 zenon_H9c zenon_H27c zenon_H20a zenon_H78 zenon_H4f zenon_H56 zenon_H1b6 zenon_H1d2 zenon_H1be zenon_H1d3 zenon_H73 zenon_H1d5 zenon_H1c2 zenon_H1fc zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H1e4 zenon_H1e0 zenon_H1f4 zenon_H1f3 zenon_H1d9 zenon_H1db zenon_H169 zenon_H11a zenon_H17b zenon_H142 zenon_H152 zenon_Hac zenon_Hb2 zenon_H15c zenon_H126 zenon_H161 zenon_H18c zenon_H57 zenon_He0 zenon_H17f zenon_H66 zenon_H182 zenon_H189 zenon_H174 zenon_H16e zenon_H178 zenon_H105 zenon_Hc1 zenon_H6a zenon_He8 zenon_H5f zenon_H6e zenon_Hf9 zenon_Hca zenon_Hbd zenon_H166 zenon_H16b zenon_H192 zenon_H133 zenon_H42 zenon_H60 zenon_H48 zenon_Hc4 zenon_H30e zenon_H25a zenon_H30b zenon_H2f1 zenon_H214 zenon_H2eb zenon_H204 zenon_Ha8 zenon_H260 zenon_H253 zenon_H256 zenon_H25d zenon_H24d zenon_H249 zenon_H27d zenon_H85 zenon_H304 zenon_H2c7 zenon_H15 zenon_H2e6 zenon_H219 zenon_H80 zenon_H2c zenon_H33 zenon_H26e.
% 43.17/43.40 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H338 ].
% 43.17/43.40 apply (zenon_L430_); trivial.
% 43.17/43.40 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ].
% 43.17/43.40 exact (zenon_H15 zenon_H14).
% 43.17/43.40 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ].
% 43.17/43.40 apply (zenon_L212_); trivial.
% 43.17/43.40 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ].
% 43.17/43.40 apply (zenon_L173_); trivial.
% 43.17/43.40 apply (zenon_L252_); trivial.
% 43.17/43.40 (* end of lemma zenon_L433_ *)
% 43.17/43.40 assert (zenon_L434_ : ((~((op2 (e21) (e21)) = (e21)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (~((e20) = (e23))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e20)) = (e20))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))))))))))))))))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e20)) = (e21))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))))))))))))))))) -> (~((e10) = (e12))) -> (~((e12) = (e13))) -> (~((e11) = (e12))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (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 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (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))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((h3 (op1 (e11) (e13))) = (op2 (h3 (e11)) (h3 (e13))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (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) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((e21) = (e23))) -> ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> ((op2 (e21) (e21)) = (e21)) -> (~((e22) = (e23))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((e21) = (e22))) -> False).
% 43.17/43.40 do 0 intro. intros zenon_H330 zenon_H32f zenon_H324 zenon_H301 zenon_H2f6 zenon_H2f9 zenon_H32b zenon_H2f3 zenon_H2ee zenon_H2de zenon_H2e3 zenon_H290 zenon_H242 zenon_H234 zenon_H23a zenon_H23e zenon_H321 zenon_H311 zenon_H316 zenon_H31e zenon_H2fe zenon_H2d7 zenon_H2c zenon_H80 zenon_H2e6 zenon_H15 zenon_H2c7 zenon_H304 zenon_H85 zenon_H27d zenon_H249 zenon_H24d zenon_H25d zenon_H256 zenon_H253 zenon_H260 zenon_Ha8 zenon_H204 zenon_H2eb zenon_H214 zenon_H30b zenon_H30e zenon_Hc4 zenon_H48 zenon_H60 zenon_H42 zenon_H133 zenon_H192 zenon_H16b zenon_H166 zenon_Hbd zenon_Hca zenon_Hf9 zenon_H6e zenon_H5f zenon_He8 zenon_H6a zenon_Hc1 zenon_H105 zenon_H178 zenon_H16e zenon_H174 zenon_H189 zenon_H182 zenon_H66 zenon_H17f zenon_He0 zenon_H57 zenon_H18c zenon_H161 zenon_H126 zenon_H15c zenon_Hb2 zenon_Hac zenon_H152 zenon_H142 zenon_H17b zenon_H11a zenon_H169 zenon_H1db zenon_H1d9 zenon_H1f3 zenon_H1f4 zenon_H1e0 zenon_H1e4 zenon_H1ed zenon_H1ec zenon_H1f5 zenon_H1fc zenon_H1c2 zenon_H1d5 zenon_H73 zenon_H1d3 zenon_H1be zenon_H1d2 zenon_H1b6 zenon_H56 zenon_H4f zenon_H78 zenon_H20a zenon_H27c zenon_H9c zenon_H93 zenon_Ha2 zenon_H39c zenon_H30 zenon_H36f zenon_H3c8 zenon_H29c zenon_H19e zenon_H19f zenon_H1a4 zenon_H47 zenon_H1c3 zenon_H1a8 zenon_H1bf zenon_Hf6 zenon_H1ba zenon_H1b0 zenon_H1aa zenon_H1c8 zenon_H1d8 zenon_H1fe zenon_H264 zenon_H276 zenon_H337 zenon_H219 zenon_H288 zenon_H279 zenon_H26a zenon_H22a zenon_H33 zenon_H22b zenon_H26e zenon_H2f1.
% 43.17/43.40 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H226 | zenon_intro zenon_H32c ].
% 43.17/43.40 apply (zenon_L429_); trivial.
% 43.17/43.40 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H25a | zenon_intro zenon_H32d ].
% 43.17/43.40 apply (zenon_L433_); trivial.
% 43.17/43.40 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H328 | zenon_intro zenon_H32e ].
% 43.17/43.40 apply (zenon_L270_); trivial.
% 43.17/43.40 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H2ab | zenon_intro zenon_H31a ].
% 43.17/43.40 apply (zenon_L197_); trivial.
% 43.17/43.40 apply (zenon_L245_); trivial.
% 43.17/43.40 (* end of lemma zenon_L434_ *)
% 43.17/43.40 assert (zenon_L435_ : ((~((op2 (e21) (e20)) = (e21)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> ((op2 (e21) (e21)) = (e21)) -> ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((h3 (op1 (e11) (e13))) = (op2 (h3 (e11)) (h3 (e13))))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((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 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (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)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e12) = (e13))) -> (~((e10) = (e12))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))))))))))))))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((e21) = (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e22) = (e23))) -> (~((e20) = (e22))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))))))))))))))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((e21) = (e23))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e21) (e21)) = (e21)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (~((e20) = (e23))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> False).
% 43.17/43.40 do 0 intro. intros zenon_H33b zenon_H219 zenon_H337 zenon_H1fe zenon_H1d8 zenon_H1c8 zenon_H1aa zenon_H1b0 zenon_H1ba zenon_Hf6 zenon_H1bf zenon_H1a8 zenon_H1c3 zenon_H47 zenon_H1a4 zenon_H19f zenon_H19e zenon_H29c zenon_H3c8 zenon_H36f zenon_H30 zenon_H39c zenon_Ha2 zenon_H9c zenon_H27c zenon_H78 zenon_H4f zenon_H56 zenon_H1b6 zenon_H1d2 zenon_H1be zenon_H1d3 zenon_H73 zenon_H1d5 zenon_H1c2 zenon_H1fc zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H1e4 zenon_H1e0 zenon_H1f4 zenon_H1f3 zenon_H1d9 zenon_H1db zenon_H169 zenon_H11a zenon_H17b zenon_H142 zenon_H152 zenon_Hac zenon_Hb2 zenon_H15c zenon_H126 zenon_H161 zenon_H18c zenon_H57 zenon_He0 zenon_H17f zenon_H66 zenon_H182 zenon_H189 zenon_H174 zenon_H16e zenon_H178 zenon_H105 zenon_Hc1 zenon_H6a zenon_He8 zenon_H5f zenon_H6e zenon_Hf9 zenon_Hca zenon_Hbd zenon_H166 zenon_H16b zenon_H192 zenon_H133 zenon_H42 zenon_H60 zenon_H48 zenon_Hc4 zenon_Ha8 zenon_H260 zenon_H253 zenon_H256 zenon_H24d zenon_H249 zenon_H27d zenon_H85 zenon_H15 zenon_H2f1 zenon_H22b zenon_H22a zenon_H26a zenon_H279 zenon_H288 zenon_H304 zenon_H2c7 zenon_H2d7 zenon_H204 zenon_H20a zenon_H2e6 zenon_H2eb zenon_H30b zenon_H30e zenon_H2fe zenon_H93 zenon_H31e zenon_H316 zenon_H311 zenon_H321 zenon_H264 zenon_H276 zenon_H23e zenon_H23a zenon_H234 zenon_H242 zenon_H290 zenon_H2e3 zenon_H2de zenon_H2ee zenon_H2f3 zenon_H32b zenon_H25d zenon_H2f9 zenon_H2f6 zenon_H301 zenon_H324 zenon_H32f zenon_H330 zenon_H80 zenon_H2c zenon_H33 zenon_H26e.
% 43.17/43.40 apply (zenon_or_s _ _ zenon_H33b); [ zenon_intro zenon_H214 | zenon_intro zenon_H338 ].
% 43.17/43.40 apply (zenon_L434_); trivial.
% 43.17/43.40 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ].
% 43.17/43.40 exact (zenon_H15 zenon_H14).
% 43.17/43.40 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ].
% 43.17/43.40 apply (zenon_L251_); trivial.
% 43.17/43.40 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ].
% 43.17/43.40 apply (zenon_L173_); trivial.
% 43.17/43.40 apply (zenon_L252_); trivial.
% 43.17/43.40 (* end of lemma zenon_L435_ *)
% 43.17/43.40 assert (zenon_L436_ : (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))))))))))))))))) -> (~((e10) = (e12))) -> (~((e12) = (e13))) -> (~((e11) = (e12))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (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 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (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) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((h3 (op1 (e11) (e13))) = (op2 (h3 (e11)) (h3 (e13))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (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) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (~((e20) = (e23))) -> ((~((op2 (e21) (e21)) = (e21)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((e21) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((e20) = (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))))))))))))))))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e20)) = (e20))) -> ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> ((op2 (e23) (e23)) = (e21)) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e20)) = (e21))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((~((op2 (e22) (e20)) = (e22)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((e22) = (e23))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((e21) = (e22))) -> False).
% 43.17/43.41 do 0 intro. intros zenon_Hc4 zenon_H48 zenon_H60 zenon_H42 zenon_H133 zenon_H192 zenon_H16b zenon_H166 zenon_Hbd zenon_Hca zenon_Hf9 zenon_H6e zenon_H5f zenon_He8 zenon_H6a zenon_Hc1 zenon_H105 zenon_H178 zenon_H16e zenon_H174 zenon_H189 zenon_H182 zenon_H66 zenon_H17f zenon_He0 zenon_H57 zenon_H18c zenon_H161 zenon_H126 zenon_H15c zenon_Hb2 zenon_Hac zenon_H152 zenon_H142 zenon_H17b zenon_H11a zenon_H169 zenon_H1db zenon_H1d9 zenon_H1f3 zenon_H1f4 zenon_H1e0 zenon_H1e4 zenon_H1ed zenon_H1ec zenon_H1f5 zenon_H1fc zenon_H1c2 zenon_H1d5 zenon_H73 zenon_H1d3 zenon_H1be zenon_H1d2 zenon_H1b6 zenon_H56 zenon_H4f zenon_H78 zenon_H39c zenon_H30 zenon_H36f zenon_H3c8 zenon_H29c zenon_H19e zenon_H19f zenon_H1a4 zenon_H47 zenon_H1c3 zenon_H1a8 zenon_H1bf zenon_Hf6 zenon_H1ba zenon_H1b0 zenon_H1aa zenon_H1c8 zenon_H1d8 zenon_H1fe zenon_Ha2 zenon_Ha8 zenon_H2c zenon_H80 zenon_H330 zenon_H32f zenon_H324 zenon_H301 zenon_H2f6 zenon_H2f9 zenon_H25d zenon_H32b zenon_H2f3 zenon_H2ee zenon_H2de zenon_H2e3 zenon_H290 zenon_H242 zenon_H234 zenon_H23a zenon_H23e zenon_H276 zenon_H264 zenon_H321 zenon_H311 zenon_H316 zenon_H31e zenon_H93 zenon_H2fe zenon_H30e zenon_H30b zenon_H2eb zenon_H2e6 zenon_H20a zenon_H204 zenon_H2d7 zenon_H2c7 zenon_H304 zenon_H15 zenon_H337 zenon_H274 zenon_H352 zenon_H33d zenon_H214 zenon_H349 zenon_H27d zenon_H24d zenon_H342 zenon_H260 zenon_H253 zenon_H33c zenon_H27c zenon_H33e zenon_H85 zenon_H29d zenon_H345 zenon_H249 zenon_H9c zenon_H256 zenon_H354 zenon_H288 zenon_H279 zenon_H26a zenon_H22a zenon_H33 zenon_H22b zenon_H26e zenon_H2f1.
% 43.17/43.41 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H226 | zenon_intro zenon_H32c ].
% 43.17/43.41 apply (zenon_L429_); trivial.
% 43.17/43.41 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H25a | zenon_intro zenon_H32d ].
% 43.17/43.41 apply (zenon_L259_); trivial.
% 43.17/43.41 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H328 | zenon_intro zenon_H32e ].
% 43.17/43.41 apply (zenon_L302_); trivial.
% 43.17/43.41 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H2ab | zenon_intro zenon_H31a ].
% 43.17/43.41 apply (zenon_L197_); trivial.
% 43.17/43.41 apply (zenon_L245_); trivial.
% 43.17/43.41 (* end of lemma zenon_L436_ *)
% 43.17/43.41 assert (zenon_L437_ : (~((h3 (op1 (e12) (e10))) = (op2 (h3 (e12)) (h3 (e10))))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((op1 (e12) (e10)) = (e11)) -> ((op2 (e22) (e20)) = (e21)) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e12)) = (e22)) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> False).
% 43.17/43.41 do 0 intro. intros zenon_H3d4 zenon_H36f zenon_H160 zenon_H2ea zenon_H22b zenon_H381 zenon_H2b zenon_H2c.
% 43.17/43.41 cut (((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) = ((h3 (op1 (e12) (e10))) = (op2 (h3 (e12)) (h3 (e10))))).
% 43.17/43.41 intro zenon_D_pnotp.
% 43.17/43.41 apply zenon_H3d4.
% 43.17/43.41 rewrite <- zenon_D_pnotp.
% 43.17/43.41 exact zenon_H36f.
% 43.17/43.41 cut (((op2 (op2 (e22) (e22)) (op2 (e22) (e22))) = (op2 (h3 (e12)) (h3 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H3d5].
% 43.17/43.41 cut (((h3 (e11)) = (h3 (op1 (e12) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H3d6].
% 43.17/43.41 congruence.
% 43.17/43.41 elim (classic ((h3 (op1 (e12) (e10))) = (h3 (op1 (e12) (e10))))); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H3d8 ].
% 43.17/43.41 cut (((h3 (op1 (e12) (e10))) = (h3 (op1 (e12) (e10)))) = ((h3 (e11)) = (h3 (op1 (e12) (e10))))).
% 43.17/43.41 intro zenon_D_pnotp.
% 43.17/43.41 apply zenon_H3d6.
% 43.17/43.41 rewrite <- zenon_D_pnotp.
% 43.17/43.41 exact zenon_H3d7.
% 43.17/43.41 cut (((h3 (op1 (e12) (e10))) = (h3 (op1 (e12) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H3d8].
% 43.17/43.41 cut (((h3 (op1 (e12) (e10))) = (h3 (e11)))); [idtac | apply NNPP; zenon_intro zenon_H3d9].
% 43.17/43.41 congruence.
% 43.17/43.41 cut (((op1 (e12) (e10)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H3da].
% 43.17/43.41 congruence.
% 43.17/43.41 exact (zenon_H3da zenon_H160).
% 43.17/43.41 apply zenon_H3d8. apply refl_equal.
% 43.17/43.41 apply zenon_H3d8. apply refl_equal.
% 43.17/43.41 elim (classic ((op2 (h3 (e12)) (h3 (e10))) = (op2 (h3 (e12)) (h3 (e10))))); [ zenon_intro zenon_H3db | zenon_intro zenon_H3dc ].
% 43.17/43.41 cut (((op2 (h3 (e12)) (h3 (e10))) = (op2 (h3 (e12)) (h3 (e10)))) = ((op2 (op2 (e22) (e22)) (op2 (e22) (e22))) = (op2 (h3 (e12)) (h3 (e10))))).
% 43.17/43.41 intro zenon_D_pnotp.
% 43.17/43.41 apply zenon_H3d5.
% 43.17/43.41 rewrite <- zenon_D_pnotp.
% 43.17/43.41 exact zenon_H3db.
% 43.17/43.41 cut (((op2 (h3 (e12)) (h3 (e10))) = (op2 (h3 (e12)) (h3 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H3dc].
% 43.17/43.41 cut (((op2 (h3 (e12)) (h3 (e10))) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22))))); [idtac | apply NNPP; zenon_intro zenon_H3dd].
% 43.17/43.41 congruence.
% 43.17/43.41 cut (((op2 (e22) (e20)) = (e21)) = ((op2 (h3 (e12)) (h3 (e10))) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22))))).
% 43.17/43.41 intro zenon_D_pnotp.
% 43.17/43.41 apply zenon_H3dd.
% 43.17/43.41 rewrite <- zenon_D_pnotp.
% 43.17/43.41 exact zenon_H2ea.
% 43.17/43.41 cut (((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22))))); [idtac | apply NNPP; zenon_intro zenon_H38b].
% 43.17/43.41 cut (((op2 (e22) (e20)) = (op2 (h3 (e12)) (h3 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H3de].
% 43.17/43.41 congruence.
% 43.17/43.41 elim (classic ((op2 (h3 (e12)) (h3 (e10))) = (op2 (h3 (e12)) (h3 (e10))))); [ zenon_intro zenon_H3db | zenon_intro zenon_H3dc ].
% 43.17/43.41 cut (((op2 (h3 (e12)) (h3 (e10))) = (op2 (h3 (e12)) (h3 (e10)))) = ((op2 (e22) (e20)) = (op2 (h3 (e12)) (h3 (e10))))).
% 43.17/43.41 intro zenon_D_pnotp.
% 43.17/43.41 apply zenon_H3de.
% 43.17/43.41 rewrite <- zenon_D_pnotp.
% 43.17/43.41 exact zenon_H3db.
% 43.17/43.41 cut (((op2 (h3 (e12)) (h3 (e10))) = (op2 (h3 (e12)) (h3 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H3dc].
% 43.17/43.41 cut (((op2 (h3 (e12)) (h3 (e10))) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H3df].
% 43.17/43.41 congruence.
% 43.17/43.41 cut (((h3 (e10)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H2a].
% 43.17/43.41 cut (((h3 (e12)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H38e].
% 43.17/43.41 congruence.
% 43.17/43.41 exact (zenon_H38e zenon_H381).
% 43.17/43.41 apply (zenon_L9_); trivial.
% 43.17/43.41 apply zenon_H3dc. apply refl_equal.
% 43.17/43.41 apply zenon_H3dc. apply refl_equal.
% 43.17/43.41 exact (zenon_H38b zenon_H22b).
% 43.17/43.41 apply zenon_H3dc. apply refl_equal.
% 43.17/43.41 apply zenon_H3dc. apply refl_equal.
% 43.17/43.41 (* end of lemma zenon_L437_ *)
% 43.17/43.41 assert (zenon_L438_ : (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> ((op1 (e11) (e10)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((op1 (e12) (e11)) = (e11)) -> (~((op1 (e12) (e10)) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((e13) = (op1 (e12) (e12))) -> False).
% 43.17/43.41 do 0 intro. intros zenon_H1b0 zenon_H50 zenon_H1a8 zenon_H161 zenon_H15f zenon_H1b1 zenon_H1aa zenon_H48.
% 43.17/43.41 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1b2 ].
% 43.17/43.41 apply (zenon_L105_); trivial.
% 43.17/43.41 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H160 | zenon_intro zenon_H1b3 ].
% 43.17/43.41 apply (zenon_L78_); trivial.
% 43.17/43.41 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_Hed | zenon_intro zenon_H1ab ].
% 43.17/43.41 exact (zenon_H1b1 zenon_Hed).
% 43.17/43.41 apply (zenon_L108_); trivial.
% 43.17/43.41 (* end of lemma zenon_L438_ *)
% 43.17/43.41 assert (zenon_L439_ : (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e12)) = (e22)) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((op2 (e22) (e20)) = (e21)) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((h3 (op1 (e12) (e10))) = (op2 (h3 (e12)) (h3 (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (e10)) = (e10)) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> ((e13) = (op1 (e12) (e12))) -> False).
% 43.17/43.41 do 0 intro. intros zenon_H16b zenon_H2c zenon_H2b zenon_H381 zenon_H22b zenon_H2ea zenon_H36f zenon_H3d4 zenon_H1aa zenon_H1b1 zenon_H161 zenon_H1a8 zenon_H50 zenon_H1b0 zenon_Hc1 zenon_Hf9 zenon_H57 zenon_H48.
% 43.17/43.41 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H160 | zenon_intro zenon_H16c ].
% 43.17/43.41 apply (zenon_L437_); trivial.
% 43.17/43.41 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H15f | zenon_intro zenon_H16d ].
% 43.17/43.41 apply (zenon_L438_); trivial.
% 43.17/43.41 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hfa ].
% 43.17/43.41 apply (zenon_L39_); trivial.
% 43.17/43.41 apply (zenon_L54_); trivial.
% 43.17/43.41 (* end of lemma zenon_L439_ *)
% 43.17/43.41 assert (zenon_L440_ : (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> ((e13) = (op1 (e12) (e12))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((e11) = (e13))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> ((op1 (e11) (e10)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((h3 (op1 (e12) (e10))) = (op2 (h3 (e12)) (h3 (e10))))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e12)) = (e22)) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e21) (e20)) = (e20)) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((e21) = (e23))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((e23) = (op2 (e22) (e22))) -> False).
% 43.17/43.41 do 0 intro. intros zenon_H2f3 zenon_H48 zenon_H57 zenon_Hf9 zenon_Hc1 zenon_H1b0 zenon_H50 zenon_H1a8 zenon_H161 zenon_H1b1 zenon_H1aa zenon_H3d4 zenon_H36f zenon_H381 zenon_H2b zenon_H2c zenon_H16b zenon_H9c zenon_H346 zenon_H2eb zenon_H249 zenon_H99 zenon_H345 zenon_H276 zenon_H290 zenon_H22b zenon_H33.
% 43.17/43.41 apply (zenon_or_s _ _ zenon_H2f3); [ zenon_intro zenon_H2ea | zenon_intro zenon_H2f4 ].
% 43.17/43.41 apply (zenon_L439_); trivial.
% 43.17/43.41 apply (zenon_or_s _ _ zenon_H2f4); [ zenon_intro zenon_H2e9 | zenon_intro zenon_H2f5 ].
% 43.17/43.41 apply (zenon_L278_); trivial.
% 43.17/43.41 apply (zenon_or_s _ _ zenon_H2f5); [ zenon_intro zenon_H2e1 | zenon_intro zenon_H291 ].
% 43.17/43.41 apply (zenon_L209_); trivial.
% 43.17/43.41 apply (zenon_L189_); trivial.
% 43.17/43.41 (* end of lemma zenon_L440_ *)
% 43.17/43.41 assert (zenon_L441_ : (((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13)))))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> ((e13) = (op1 (e12) (e12))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((e11) = (e13))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((h3 (op1 (e12) (e10))) = (op2 (h3 (e12)) (h3 (e10))))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e12)) = (e22)) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e21) (e20)) = (e20)) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((e21) = (e23))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((e23) = (op2 (e22) (e22))) -> False).
% 43.17/43.41 do 0 intro. intros zenon_Ha7 zenon_H2f3 zenon_H48 zenon_H57 zenon_Hf9 zenon_Hc1 zenon_H1b0 zenon_H1a8 zenon_H161 zenon_H1b1 zenon_H1aa zenon_H3d4 zenon_H36f zenon_H381 zenon_H2b zenon_H2c zenon_H16b zenon_H9c zenon_H346 zenon_H2eb zenon_H249 zenon_H99 zenon_H345 zenon_H276 zenon_H290 zenon_H22b zenon_H33.
% 43.17/43.41 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H40. zenon_intro zenon_Ha9.
% 43.17/43.41 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_H50. zenon_intro zenon_H28.
% 43.17/43.41 apply (zenon_L440_); trivial.
% 43.17/43.41 (* end of lemma zenon_L441_ *)
% 43.17/43.41 assert (zenon_L442_ : (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e12)) = (e22)) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((op2 (e22) (e20)) = (e21)) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((h3 (op1 (e12) (e10))) = (op2 (h3 (e12)) (h3 (e10))))) -> ((op1 (e12) (e11)) = (e12)) -> (~((e11) = (e12))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> ((e13) = (op1 (e12) (e12))) -> False).
% 43.17/43.41 do 0 intro. intros zenon_H16b zenon_H2c zenon_H2b zenon_H381 zenon_H22b zenon_H2ea zenon_H36f zenon_H3d4 zenon_H114 zenon_H169 zenon_Hc1 zenon_Hf9 zenon_H57 zenon_H48.
% 43.17/43.41 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H160 | zenon_intro zenon_H16c ].
% 43.17/43.41 apply (zenon_L437_); trivial.
% 43.17/43.41 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H15f | zenon_intro zenon_H16d ].
% 43.17/43.41 apply (zenon_L81_); trivial.
% 43.17/43.41 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hfa ].
% 43.17/43.41 apply (zenon_L39_); trivial.
% 43.17/43.41 apply (zenon_L54_); trivial.
% 43.17/43.41 (* end of lemma zenon_L442_ *)
% 43.17/43.41 assert (zenon_L443_ : (((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13)))))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> ((e13) = (op1 (e12) (e12))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((e11) = (e13))) -> (~((e11) = (e12))) -> (~((h3 (op1 (e12) (e10))) = (op2 (h3 (e12)) (h3 (e10))))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e12)) = (e22)) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e21) (e20)) = (e20)) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((e21) = (e23))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((e23) = (op2 (e22) (e22))) -> False).
% 43.17/43.41 do 0 intro. intros zenon_H112 zenon_H2f3 zenon_H48 zenon_H57 zenon_Hf9 zenon_Hc1 zenon_H169 zenon_H3d4 zenon_H36f zenon_H381 zenon_H2b zenon_H2c zenon_H16b zenon_H9c zenon_H346 zenon_H2eb zenon_H249 zenon_H99 zenon_H345 zenon_H276 zenon_H290 zenon_H22b zenon_H33.
% 43.17/43.41 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H114. zenon_intro zenon_H113.
% 43.17/43.41 apply (zenon_or_s _ _ zenon_H2f3); [ zenon_intro zenon_H2ea | zenon_intro zenon_H2f4 ].
% 43.17/43.41 apply (zenon_L442_); trivial.
% 43.17/43.41 apply (zenon_or_s _ _ zenon_H2f4); [ zenon_intro zenon_H2e9 | zenon_intro zenon_H2f5 ].
% 43.17/43.41 apply (zenon_L278_); trivial.
% 43.17/43.41 apply (zenon_or_s _ _ zenon_H2f5); [ zenon_intro zenon_H2e1 | zenon_intro zenon_H291 ].
% 43.17/43.41 apply (zenon_L209_); trivial.
% 43.17/43.41 apply (zenon_L189_); trivial.
% 43.17/43.41 (* end of lemma zenon_L443_ *)
% 43.17/43.41 assert (zenon_L444_ : ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))))))))))))))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((e21) = (e23))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> ((op2 (e21) (e20)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e20)) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e12)) = (e22)) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((h3 (op1 (e12) (e10))) = (op2 (h3 (e12)) (h3 (e10))))) -> (~((e11) = (e12))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((e12) = (e13))) -> (~((op1 (e13) (e10)) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((e11) = (e13))) -> False).
% 43.17/43.41 do 0 intro. intros zenon_H142 zenon_H1aa zenon_H1b1 zenon_H161 zenon_H1a8 zenon_H1b0 zenon_Hac zenon_Hb2 zenon_H15b zenon_H6a zenon_He8 zenon_H6f zenon_H5f zenon_H60 zenon_H6e zenon_H33 zenon_H22b zenon_H290 zenon_H276 zenon_H345 zenon_H99 zenon_H249 zenon_H2eb zenon_H346 zenon_H9c zenon_H16b zenon_H2c zenon_H2b zenon_H381 zenon_H36f zenon_H3d4 zenon_H169 zenon_Hf9 zenon_H2f3 zenon_H11a zenon_H123 zenon_H105 zenon_H133 zenon_H126 zenon_He0 zenon_H48 zenon_H57 zenon_Hc4 zenon_Hc1.
% 43.17/43.41 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H26 | zenon_intro zenon_H143 ].
% 43.17/43.41 apply (zenon_L8_); trivial.
% 43.17/43.41 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H144 ].
% 43.17/43.41 apply (zenon_L441_); trivial.
% 43.17/43.41 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H145 ].
% 43.17/43.41 apply (zenon_L34_); trivial.
% 43.17/43.41 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H146 ].
% 43.17/43.41 apply (zenon_L36_); trivial.
% 43.17/43.41 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hcd | zenon_intro zenon_H147 ].
% 43.17/43.41 apply (zenon_L330_); trivial.
% 43.17/43.41 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H148 ].
% 43.17/43.41 apply (zenon_L45_); trivial.
% 43.17/43.41 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_Hde | zenon_intro zenon_H149 ].
% 43.17/43.41 apply (zenon_L46_); trivial.
% 43.17/43.41 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_He6 | zenon_intro zenon_H14a ].
% 43.17/43.41 apply (zenon_L48_); trivial.
% 43.17/43.41 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Heb | zenon_intro zenon_H14b ].
% 43.17/43.41 apply (zenon_L51_); trivial.
% 43.17/43.41 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H112 | zenon_intro zenon_H14c ].
% 43.17/43.41 apply (zenon_L443_); trivial.
% 43.17/43.41 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H11d | zenon_intro zenon_H14d ].
% 43.17/43.41 apply (zenon_L61_); trivial.
% 43.17/43.41 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H11f | zenon_intro zenon_H14e ].
% 43.17/43.41 apply (zenon_L62_); trivial.
% 43.17/43.41 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H122 | zenon_intro zenon_H14f ].
% 43.17/43.41 apply (zenon_L63_); trivial.
% 43.17/43.41 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H132 | zenon_intro zenon_H150 ].
% 43.17/43.41 apply (zenon_L66_); trivial.
% 43.17/43.41 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H13b | zenon_intro zenon_H140 ].
% 43.17/43.41 apply (zenon_L67_); trivial.
% 43.17/43.41 apply (zenon_L70_); trivial.
% 43.17/43.41 (* end of lemma zenon_L444_ *)
% 43.17/43.41 assert (zenon_L445_ : (((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23)))))))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((h3 (op1 (e12) (e10))) = (op2 (h3 (e12)) (h3 (e10))))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e12)) = (e22)) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((e21) = (e23))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((e23) = (op2 (e22) (e22))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (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) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e11) (e10)) = (e11)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (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)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e12) = (e13))) -> (~((e10) = (e12))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))))))))))))))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> False).
% 43.17/43.41 do 0 intro. intros zenon_H1fd zenon_H1fe zenon_H2f3 zenon_H3d4 zenon_H36f zenon_H381 zenon_H2b zenon_H2c zenon_H9c zenon_H346 zenon_H2eb zenon_H249 zenon_H345 zenon_H276 zenon_H290 zenon_H22b zenon_H33 zenon_H19e zenon_H19f zenon_H1a4 zenon_H47 zenon_H1c3 zenon_H1a8 zenon_H1bf zenon_Hf6 zenon_H1ba zenon_H1b0 zenon_H1aa zenon_H1c8 zenon_H1d8 zenon_H37f zenon_H1b6 zenon_H1d2 zenon_H1be zenon_H1d3 zenon_H73 zenon_H1d5 zenon_H1c2 zenon_H1fc zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H1e4 zenon_H1e0 zenon_H1f4 zenon_H1f3 zenon_H1d9 zenon_H1db zenon_H169 zenon_H11a zenon_H17b zenon_H142 zenon_H152 zenon_Hac zenon_Hb2 zenon_H15c zenon_H126 zenon_H161 zenon_H18c zenon_H57 zenon_He0 zenon_H17f zenon_H66 zenon_H182 zenon_H189 zenon_H174 zenon_H16e zenon_H178 zenon_H105 zenon_Hc1 zenon_H6a zenon_He8 zenon_H5f zenon_H6e zenon_Hf9 zenon_Hca zenon_Hbd zenon_H166 zenon_H16b zenon_H192 zenon_H133 zenon_H42 zenon_H60 zenon_H48 zenon_Hc4.
% 43.17/43.41 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_H7e. zenon_intro zenon_H200.
% 43.17/43.41 apply (zenon_and_s _ _ zenon_H200). zenon_intro zenon_H99. zenon_intro zenon_H1c.
% 43.17/43.41 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H21 | zenon_intro zenon_H1a5 ].
% 43.17/43.41 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H15b | zenon_intro zenon_H1a5 ].
% 43.17/43.41 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H6f | zenon_intro zenon_H193 ].
% 43.17/43.41 apply (zenon_or_s _ _ zenon_H1d8); [ zenon_intro zenon_H1b1 | zenon_intro zenon_H1a5 ].
% 43.17/43.41 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H123 | zenon_intro zenon_H1a5 ].
% 43.17/43.41 apply (zenon_L444_); trivial.
% 43.17/43.41 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H20 | zenon_intro zenon_H1a6 ].
% 43.17/43.41 exact (zenon_H21 zenon_H20).
% 43.17/43.41 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H151 | zenon_intro zenon_H1a7 ].
% 43.17/43.41 apply (zenon_L100_); trivial.
% 43.17/43.41 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H196 | zenon_intro zenon_H198 ].
% 43.17/43.41 apply (zenon_L101_); trivial.
% 43.17/43.41 apply (zenon_L102_); trivial.
% 43.17/43.41 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H20 | zenon_intro zenon_H1a6 ].
% 43.17/43.41 exact (zenon_H21 zenon_H20).
% 43.17/43.41 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H151 | zenon_intro zenon_H1a7 ].
% 43.17/43.41 apply (zenon_L100_); trivial.
% 43.17/43.41 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H196 | zenon_intro zenon_H198 ].
% 43.17/43.41 apply (zenon_L101_); trivial.
% 43.17/43.41 apply (zenon_L102_); trivial.
% 43.17/43.41 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H17c | zenon_intro zenon_H194 ].
% 43.17/43.41 apply (zenon_L104_); trivial.
% 43.17/43.41 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H18f | zenon_intro zenon_H195 ].
% 43.17/43.41 apply (zenon_L132_); trivial.
% 43.17/43.41 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H119 | zenon_intro zenon_H185 ].
% 43.17/43.41 apply (zenon_L60_); trivial.
% 43.17/43.41 apply (zenon_L133_); trivial.
% 43.17/43.41 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H20 | zenon_intro zenon_H1a6 ].
% 43.17/43.41 exact (zenon_H21 zenon_H20).
% 43.17/43.41 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H151 | zenon_intro zenon_H1a7 ].
% 43.17/43.41 apply (zenon_L100_); trivial.
% 43.17/43.41 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H196 | zenon_intro zenon_H198 ].
% 43.17/43.41 apply (zenon_L101_); trivial.
% 43.17/43.41 apply (zenon_L102_); trivial.
% 43.17/43.41 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H20 | zenon_intro zenon_H1a6 ].
% 43.17/43.41 apply (zenon_L149_); trivial.
% 43.17/43.41 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H151 | zenon_intro zenon_H1a7 ].
% 43.17/43.41 apply (zenon_L100_); trivial.
% 43.17/43.41 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H196 | zenon_intro zenon_H198 ].
% 43.17/43.41 apply (zenon_L101_); trivial.
% 43.17/43.41 apply (zenon_L102_); trivial.
% 43.17/43.41 (* end of lemma zenon_L445_ *)
% 43.17/43.41 assert (zenon_L446_ : (((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13)))))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e20) (e20)) = (e20))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((e21) = (e23))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e20)) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e12)) = (e22)) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((h3 (op1 (e12) (e10))) = (op2 (h3 (e12)) (h3 (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> ((e13) = (op1 (e12) (e12))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e22) (op2 (e22) (e20))) = (e20))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((e23) = (op2 (e22) (e22))) -> False).
% 43.17/43.41 do 0 intro. intros zenon_Ha7 zenon_H29c zenon_H15 zenon_H22b zenon_H290 zenon_H276 zenon_H345 zenon_H249 zenon_H2eb zenon_H346 zenon_H9c zenon_H16b zenon_H2b zenon_H381 zenon_H36f zenon_H3d4 zenon_H1aa zenon_H1b1 zenon_H161 zenon_H1a8 zenon_H1b0 zenon_Hc1 zenon_Hf9 zenon_H57 zenon_H48 zenon_H2f3 zenon_H28a zenon_H20a zenon_H2c zenon_H33.
% 43.17/43.41 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H40. zenon_intro zenon_Ha9.
% 43.17/43.41 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_H50. zenon_intro zenon_H28.
% 43.17/43.41 apply (zenon_or_s _ _ zenon_H29c); [ zenon_intro zenon_H14 | zenon_intro zenon_H2a1 ].
% 43.17/43.41 exact (zenon_H15 zenon_H14).
% 43.17/43.41 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H99 | zenon_intro zenon_H2a2 ].
% 43.17/43.41 apply (zenon_L440_); trivial.
% 43.17/43.41 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H24a | zenon_intro zenon_H20b ].
% 43.17/43.41 apply (zenon_L188_); trivial.
% 43.17/43.41 apply (zenon_L155_); trivial.
% 43.17/43.41 (* end of lemma zenon_L446_ *)
% 43.17/43.41 assert (zenon_L447_ : (((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13)))))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> ((e13) = (op1 (e12) (e12))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((e11) = (e13))) -> (~((e11) = (e12))) -> (~((h3 (op1 (e12) (e10))) = (op2 (h3 (e12)) (h3 (e10))))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e12)) = (e22)) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((op2 (e22) (e21)) = (e22)) -> (~((e21) = (e22))) -> (~((e21) = (e23))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((e23) = (op2 (e22) (e22))) -> False).
% 43.17/43.41 do 0 intro. intros zenon_H112 zenon_H2f3 zenon_H48 zenon_H57 zenon_Hf9 zenon_Hc1 zenon_H169 zenon_H3d4 zenon_H36f zenon_H381 zenon_H2b zenon_H2c zenon_H16b zenon_H282 zenon_H2f1 zenon_H276 zenon_H290 zenon_H22b zenon_H33.
% 43.17/43.41 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H114. zenon_intro zenon_H113.
% 43.17/43.41 apply (zenon_or_s _ _ zenon_H2f3); [ zenon_intro zenon_H2ea | zenon_intro zenon_H2f4 ].
% 43.17/43.41 apply (zenon_L442_); trivial.
% 43.17/43.41 apply (zenon_or_s _ _ zenon_H2f4); [ zenon_intro zenon_H2e9 | zenon_intro zenon_H2f5 ].
% 43.17/43.41 apply (zenon_L217_); trivial.
% 43.17/43.41 apply (zenon_or_s _ _ zenon_H2f5); [ zenon_intro zenon_H2e1 | zenon_intro zenon_H291 ].
% 43.17/43.41 apply (zenon_L209_); trivial.
% 43.17/43.41 apply (zenon_L189_); trivial.
% 43.17/43.41 (* end of lemma zenon_L447_ *)
% 43.17/43.41 assert (zenon_L448_ : ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))))))))))))))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (op2 (e22) (e20))) = (e20))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (e20))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((e21) = (e23))) -> (~((e21) = (e22))) -> ((op2 (e22) (e21)) = (e22)) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e12)) = (e22)) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((h3 (op1 (e12) (e10))) = (op2 (h3 (e12)) (h3 (e10))))) -> (~((e11) = (e12))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((e12) = (e13))) -> (~((op1 (e13) (e10)) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((e11) = (e13))) -> False).
% 43.17/43.41 do 0 intro. intros zenon_H142 zenon_H20a zenon_H28a zenon_H1b0 zenon_H1a8 zenon_H161 zenon_H1b1 zenon_H1aa zenon_H9c zenon_H346 zenon_H2eb zenon_H249 zenon_H345 zenon_H15 zenon_H29c zenon_Hac zenon_Hb2 zenon_H15b zenon_H6a zenon_He8 zenon_H6f zenon_H5f zenon_H60 zenon_H6e zenon_H33 zenon_H22b zenon_H290 zenon_H276 zenon_H2f1 zenon_H282 zenon_H16b zenon_H2c zenon_H2b zenon_H381 zenon_H36f zenon_H3d4 zenon_H169 zenon_Hf9 zenon_H2f3 zenon_H11a zenon_H123 zenon_H105 zenon_H133 zenon_H126 zenon_He0 zenon_H48 zenon_H57 zenon_Hc4 zenon_Hc1.
% 43.17/43.41 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H26 | zenon_intro zenon_H143 ].
% 43.17/43.41 apply (zenon_L8_); trivial.
% 43.17/43.41 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H144 ].
% 43.17/43.41 apply (zenon_L446_); trivial.
% 43.17/43.41 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H145 ].
% 43.17/43.41 apply (zenon_L34_); trivial.
% 43.17/43.41 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H146 ].
% 43.17/43.41 apply (zenon_L36_); trivial.
% 43.17/43.41 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hcd | zenon_intro zenon_H147 ].
% 43.17/43.41 apply (zenon_L330_); trivial.
% 43.17/43.41 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H148 ].
% 43.17/43.41 apply (zenon_L45_); trivial.
% 43.17/43.41 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_Hde | zenon_intro zenon_H149 ].
% 43.17/43.41 apply (zenon_L46_); trivial.
% 43.17/43.41 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_He6 | zenon_intro zenon_H14a ].
% 43.17/43.41 apply (zenon_L48_); trivial.
% 43.17/43.41 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Heb | zenon_intro zenon_H14b ].
% 43.17/43.41 apply (zenon_L51_); trivial.
% 43.17/43.41 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H112 | zenon_intro zenon_H14c ].
% 43.17/43.41 apply (zenon_L447_); trivial.
% 43.17/43.41 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H11d | zenon_intro zenon_H14d ].
% 43.17/43.41 apply (zenon_L61_); trivial.
% 43.17/43.41 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H11f | zenon_intro zenon_H14e ].
% 43.17/43.41 apply (zenon_L62_); trivial.
% 43.17/43.41 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H122 | zenon_intro zenon_H14f ].
% 43.17/43.41 apply (zenon_L63_); trivial.
% 43.17/43.41 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H132 | zenon_intro zenon_H150 ].
% 43.17/43.41 apply (zenon_L66_); trivial.
% 43.17/43.41 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H13b | zenon_intro zenon_H140 ].
% 43.17/43.41 apply (zenon_L67_); trivial.
% 43.17/43.41 apply (zenon_L70_); trivial.
% 43.17/43.41 (* end of lemma zenon_L448_ *)
% 43.17/43.41 assert (zenon_L449_ : (((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23)))))))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((h3 (op1 (e12) (e10))) = (op2 (h3 (e12)) (h3 (e10))))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e12)) = (e22)) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (~((e21) = (e22))) -> (~((e21) = (e23))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((e23) = (op2 (e22) (e22))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e20) (e20)) = (e20))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e20)) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (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) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e11) (e10)) = (e11)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (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)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e12) = (e13))) -> (~((e10) = (e12))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))))))))))))))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> False).
% 43.17/43.41 do 0 intro. intros zenon_H2a5 zenon_H1fe zenon_H2f3 zenon_H3d4 zenon_H36f zenon_H381 zenon_H2b zenon_H2c zenon_H2f1 zenon_H276 zenon_H290 zenon_H22b zenon_H33 zenon_H29c zenon_H15 zenon_H345 zenon_H249 zenon_H2eb zenon_H346 zenon_H9c zenon_H20a zenon_H19e zenon_H19f zenon_H1a4 zenon_H47 zenon_H1c3 zenon_H1a8 zenon_H1bf zenon_Hf6 zenon_H1ba zenon_H1b0 zenon_H1aa zenon_H1c8 zenon_H1d8 zenon_H37f zenon_H1b6 zenon_H1d2 zenon_H1be zenon_H1d3 zenon_H73 zenon_H1d5 zenon_H1c2 zenon_H1fc zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H1e4 zenon_H1e0 zenon_H1f4 zenon_H1f3 zenon_H1d9 zenon_H1db zenon_H169 zenon_H11a zenon_H17b zenon_H142 zenon_H152 zenon_Hac zenon_Hb2 zenon_H15c zenon_H126 zenon_H161 zenon_H18c zenon_H57 zenon_He0 zenon_H17f zenon_H66 zenon_H182 zenon_H189 zenon_H174 zenon_H16e zenon_H178 zenon_H105 zenon_Hc1 zenon_H6a zenon_He8 zenon_H5f zenon_H6e zenon_Hf9 zenon_Hca zenon_Hbd zenon_H166 zenon_H16b zenon_H192 zenon_H133 zenon_H42 zenon_H60 zenon_H48 zenon_Hc4.
% 43.17/43.41 apply (zenon_and_s _ _ zenon_H2a5). zenon_intro zenon_H282. zenon_intro zenon_H2a6.
% 43.17/43.41 apply (zenon_and_s _ _ zenon_H2a6). zenon_intro zenon_H23c. zenon_intro zenon_H248.
% 43.17/43.41 apply (zenon_and_s _ _ zenon_H248). zenon_intro zenon_H28a. zenon_intro zenon_H2a7.
% 43.17/43.41 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H21 | zenon_intro zenon_H1a5 ].
% 43.17/43.41 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H15b | zenon_intro zenon_H1a5 ].
% 43.17/43.41 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H6f | zenon_intro zenon_H193 ].
% 43.17/43.41 apply (zenon_or_s _ _ zenon_H1d8); [ zenon_intro zenon_H1b1 | zenon_intro zenon_H1a5 ].
% 43.17/43.41 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H123 | zenon_intro zenon_H1a5 ].
% 43.17/43.41 apply (zenon_L448_); trivial.
% 43.17/43.41 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H20 | zenon_intro zenon_H1a6 ].
% 43.17/43.42 exact (zenon_H21 zenon_H20).
% 43.17/43.42 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H151 | zenon_intro zenon_H1a7 ].
% 43.17/43.42 apply (zenon_L100_); trivial.
% 43.17/43.42 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H196 | zenon_intro zenon_H198 ].
% 43.17/43.42 apply (zenon_L101_); trivial.
% 43.17/43.42 apply (zenon_L102_); trivial.
% 43.17/43.42 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H20 | zenon_intro zenon_H1a6 ].
% 43.17/43.42 exact (zenon_H21 zenon_H20).
% 43.17/43.42 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H151 | zenon_intro zenon_H1a7 ].
% 43.17/43.42 apply (zenon_L100_); trivial.
% 43.17/43.42 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H196 | zenon_intro zenon_H198 ].
% 43.17/43.42 apply (zenon_L101_); trivial.
% 43.17/43.42 apply (zenon_L102_); trivial.
% 43.17/43.42 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H17c | zenon_intro zenon_H194 ].
% 43.17/43.42 apply (zenon_L104_); trivial.
% 43.17/43.42 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H18f | zenon_intro zenon_H195 ].
% 43.17/43.42 apply (zenon_L132_); trivial.
% 43.17/43.42 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H119 | zenon_intro zenon_H185 ].
% 43.17/43.42 apply (zenon_L60_); trivial.
% 43.17/43.42 apply (zenon_L133_); trivial.
% 43.17/43.42 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H20 | zenon_intro zenon_H1a6 ].
% 43.17/43.42 exact (zenon_H21 zenon_H20).
% 43.17/43.42 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H151 | zenon_intro zenon_H1a7 ].
% 43.17/43.42 apply (zenon_L100_); trivial.
% 43.17/43.42 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H196 | zenon_intro zenon_H198 ].
% 43.17/43.42 apply (zenon_L101_); trivial.
% 43.17/43.42 apply (zenon_L102_); trivial.
% 43.17/43.42 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H20 | zenon_intro zenon_H1a6 ].
% 43.17/43.42 apply (zenon_L149_); trivial.
% 43.17/43.42 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H151 | zenon_intro zenon_H1a7 ].
% 43.17/43.42 apply (zenon_L100_); trivial.
% 43.17/43.42 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H196 | zenon_intro zenon_H198 ].
% 43.17/43.42 apply (zenon_L101_); trivial.
% 43.17/43.42 apply (zenon_L102_); trivial.
% 43.17/43.42 (* end of lemma zenon_L449_ *)
% 43.17/43.42 assert (zenon_L450_ : ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))))))))))))))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (e21))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))))))))))))))))) -> (~((e10) = (e12))) -> (~((e12) = (e13))) -> (~((e11) = (e12))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (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 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((~((op1 (e11) (e10)) = (e11)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (e20))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((e21) = (e22))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e12)) = (e22)) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((h3 (op1 (e12) (e10))) = (op2 (h3 (e12)) (h3 (e10))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((e22) = (e23))) -> (~((op2 (e23) (e20)) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((e21) = (e23))) -> False).
% 43.17/43.42 do 0 intro. intros zenon_H2c7 zenon_H204 zenon_H2de zenon_H2e3 zenon_H23e zenon_H23a zenon_H226 zenon_H234 zenon_H242 zenon_Hc4 zenon_H48 zenon_H60 zenon_H42 zenon_H133 zenon_H192 zenon_H16b zenon_H166 zenon_Hbd zenon_Hca zenon_Hf9 zenon_H6e zenon_H5f zenon_He8 zenon_H6a zenon_Hc1 zenon_H105 zenon_H178 zenon_H16e zenon_H174 zenon_H189 zenon_H182 zenon_H66 zenon_H17f zenon_He0 zenon_H57 zenon_H18c zenon_H161 zenon_H126 zenon_H15c zenon_Hb2 zenon_Hac zenon_H152 zenon_H142 zenon_H17b zenon_H11a zenon_H169 zenon_H1db zenon_H1d9 zenon_H1f3 zenon_H1f4 zenon_H1e0 zenon_H1e4 zenon_H1ed zenon_H1ec zenon_H1f5 zenon_H1fc zenon_H1c2 zenon_H1d5 zenon_H73 zenon_H1d3 zenon_H1be zenon_H1d2 zenon_H1b6 zenon_H37f zenon_H1d8 zenon_H1c8 zenon_H1aa zenon_H1b0 zenon_H1ba zenon_Hf6 zenon_H1bf zenon_H1a8 zenon_H1c3 zenon_H47 zenon_H1a4 zenon_H19f zenon_H19e zenon_H20a zenon_H9c zenon_H346 zenon_H2eb zenon_H249 zenon_H345 zenon_H15 zenon_H29c zenon_H290 zenon_H2f1 zenon_H2c zenon_H2b zenon_H381 zenon_H36f zenon_H3d4 zenon_H2f3 zenon_H1fe zenon_H288 zenon_Ha3 zenon_H264 zenon_H279 zenon_H26a zenon_H22a zenon_H33 zenon_H22b zenon_H26e zenon_H276.
% 43.17/43.42 apply (zenon_or_s _ _ zenon_H2c7); [ zenon_intro zenon_H1a | zenon_intro zenon_H2c8 ].
% 43.17/43.42 apply (zenon_L4_); trivial.
% 43.17/43.42 apply (zenon_or_s _ _ zenon_H2c8); [ zenon_intro zenon_H1fd | zenon_intro zenon_H2c9 ].
% 43.17/43.42 apply (zenon_L445_); trivial.
% 43.17/43.42 apply (zenon_or_s _ _ zenon_H2c9); [ zenon_intro zenon_H208 | zenon_intro zenon_H2ca ].
% 43.17/43.42 apply (zenon_L154_); trivial.
% 43.17/43.42 apply (zenon_or_s _ _ zenon_H2ca); [ zenon_intro zenon_H210 | zenon_intro zenon_H2cb ].
% 43.17/43.42 apply (zenon_L156_); trivial.
% 43.17/43.42 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H213 | zenon_intro zenon_H2cc ].
% 43.17/43.42 apply (zenon_L211_); trivial.
% 43.17/43.42 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H21b | zenon_intro zenon_H2cd ].
% 43.17/43.42 apply (zenon_L160_); trivial.
% 43.17/43.42 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H225 | zenon_intro zenon_H2ce ].
% 43.17/43.42 apply (zenon_L161_); trivial.
% 43.17/43.42 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H231 | zenon_intro zenon_H2cf ].
% 43.17/43.42 apply (zenon_L164_); trivial.
% 43.17/43.42 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_H245 | zenon_intro zenon_H2d0 ].
% 43.17/43.42 apply (zenon_L169_); trivial.
% 43.17/43.42 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H2a5 | zenon_intro zenon_H2d1 ].
% 43.17/43.42 apply (zenon_L449_); trivial.
% 43.17/43.42 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H2ae | zenon_intro zenon_H2d2 ].
% 43.17/43.42 apply (zenon_L198_); trivial.
% 43.17/43.42 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H2b0 | zenon_intro zenon_H2d3 ].
% 43.17/43.42 apply (zenon_L199_); trivial.
% 43.17/43.42 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H2b3 | zenon_intro zenon_H2d4 ].
% 43.17/43.42 apply (zenon_L200_); trivial.
% 43.17/43.42 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_H2bc | zenon_intro zenon_H2d5 ].
% 43.17/43.42 apply (zenon_L202_); trivial.
% 43.17/43.42 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2c5 ].
% 43.17/43.42 apply (zenon_L203_); trivial.
% 43.17/43.42 apply (zenon_L204_); trivial.
% 43.17/43.42 (* end of lemma zenon_L450_ *)
% 43.17/43.42 assert (zenon_L451_ : ((~((op2 (e22) (e20)) = (e22)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> ((~((op2 (e21) (e21)) = (e21)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((e20) = (e22))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))))))))))))))))) -> (~((e10) = (e12))) -> (~((e12) = (e13))) -> (~((e11) = (e12))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (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 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((~((op1 (e11) (e10)) = (e11)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e12)) = (e22)) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((h3 (op1 (e12) (e10))) = (op2 (h3 (e12)) (h3 (e10))))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((e21) = (e23))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (e21))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((e22) = (e23))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((e21) = (e22))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))))))))))))))))) -> (~((e20) = (e23))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> False).
% 43.17/43.42 do 0 intro. intros zenon_H354 zenon_H330 zenon_H32f zenon_H324 zenon_H32b zenon_H321 zenon_H311 zenon_H316 zenon_H31e zenon_H93 zenon_H30e zenon_H30b zenon_H304 zenon_Hc4 zenon_H48 zenon_H60 zenon_H42 zenon_H133 zenon_H192 zenon_H16b zenon_H166 zenon_Hbd zenon_Hca zenon_Hf9 zenon_H6e zenon_H5f zenon_He8 zenon_H6a zenon_Hc1 zenon_H105 zenon_H178 zenon_H16e zenon_H174 zenon_H189 zenon_H182 zenon_H66 zenon_H17f zenon_He0 zenon_H57 zenon_H18c zenon_H161 zenon_H126 zenon_H15c zenon_Hb2 zenon_Hac zenon_H152 zenon_H142 zenon_H17b zenon_H11a zenon_H169 zenon_H1db zenon_H1d9 zenon_H1f3 zenon_H1f4 zenon_H1e0 zenon_H1e4 zenon_H1ed zenon_H1ec zenon_H1f5 zenon_H1fc zenon_H1c2 zenon_H1d5 zenon_H73 zenon_H1d3 zenon_H1be zenon_H1d2 zenon_H1b6 zenon_H37f zenon_H1d8 zenon_H1c8 zenon_H1aa zenon_H1b0 zenon_H1ba zenon_Hf6 zenon_H1bf zenon_H1a8 zenon_H1c3 zenon_H47 zenon_H1a4 zenon_H19f zenon_H19e zenon_H9c zenon_H249 zenon_H345 zenon_H29c zenon_H2b zenon_H381 zenon_H36f zenon_H3d4 zenon_H1fe zenon_H337 zenon_H15 zenon_H276 zenon_H22b zenon_H22a zenon_H26a zenon_H279 zenon_H264 zenon_H242 zenon_H234 zenon_H226 zenon_H25d zenon_H2fe zenon_H2f9 zenon_H2f6 zenon_H301 zenon_H23e zenon_H288 zenon_H2f3 zenon_H2ee zenon_H2de zenon_H2e6 zenon_H2eb zenon_H2e3 zenon_H2f1 zenon_H290 zenon_H23a zenon_H20a zenon_H204 zenon_H2d7 zenon_H2c7 zenon_H80 zenon_H2c zenon_H33 zenon_H26e.
% 43.17/43.42 apply (zenon_or_s _ _ zenon_H354); [ zenon_intro zenon_H346 | zenon_intro zenon_H338 ].
% 43.17/43.42 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H338 ].
% 43.17/43.42 apply (zenon_L450_); trivial.
% 43.17/43.42 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ].
% 43.17/43.42 exact (zenon_H15 zenon_H14).
% 43.17/43.42 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ].
% 43.17/43.42 apply (zenon_L251_); trivial.
% 43.17/43.42 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ].
% 43.17/43.42 apply (zenon_L173_); trivial.
% 43.17/43.42 apply (zenon_L252_); trivial.
% 43.17/43.42 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ].
% 43.17/43.42 exact (zenon_H15 zenon_H14).
% 43.17/43.42 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ].
% 43.17/43.42 apply (zenon_L225_); trivial.
% 43.17/43.42 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ].
% 43.17/43.42 apply (zenon_L173_); trivial.
% 43.17/43.42 apply (zenon_L252_); trivial.
% 43.17/43.42 (* end of lemma zenon_L451_ *)
% 43.17/43.42 assert (zenon_L452_ : ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((h3 (op1 (e12) (e10))) = (op2 (h3 (e12)) (h3 (e10))))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e12)) = (e22)) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e20)) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (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) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e11) (e10)) = (e11)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (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)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e12) = (e13))) -> (~((e10) = (e12))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))))))))))))))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op2 (e21) (e20)) = (e21))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((e21) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((e22) = (e23))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((op2 (e20) (e20)) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((e20) = (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))))))))))))))))) -> ((~((op2 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> ((~((op2 (e21) (e21)) = (e21)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (~((e20) = (e23))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> False).
% 43.17/43.42 do 0 intro. intros zenon_H337 zenon_H1fe zenon_H3d4 zenon_H36f zenon_H381 zenon_H2b zenon_H29c zenon_H345 zenon_H249 zenon_H346 zenon_H9c zenon_H19e zenon_H19f zenon_H1a4 zenon_H47 zenon_H1c3 zenon_H1a8 zenon_H1bf zenon_Hf6 zenon_H1ba zenon_H1b0 zenon_H1aa zenon_H1c8 zenon_H1d8 zenon_H37f zenon_H1b6 zenon_H1d2 zenon_H1be zenon_H1d3 zenon_H73 zenon_H1d5 zenon_H1c2 zenon_H1fc zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H1e4 zenon_H1e0 zenon_H1f4 zenon_H1f3 zenon_H1d9 zenon_H1db zenon_H169 zenon_H11a zenon_H17b zenon_H142 zenon_H152 zenon_Hac zenon_Hb2 zenon_H15c zenon_H126 zenon_H161 zenon_H18c zenon_H57 zenon_He0 zenon_H17f zenon_H66 zenon_H182 zenon_H189 zenon_H174 zenon_H16e zenon_H178 zenon_H105 zenon_Hc1 zenon_H6a zenon_He8 zenon_H5f zenon_H6e zenon_Hf9 zenon_Hca zenon_Hbd zenon_H166 zenon_H16b zenon_H192 zenon_H133 zenon_H42 zenon_H60 zenon_H48 zenon_Hc4 zenon_H214 zenon_H15 zenon_H276 zenon_H264 zenon_H321 zenon_H311 zenon_H316 zenon_H288 zenon_H31e zenon_H25a zenon_H93 zenon_H2fe zenon_H2f1 zenon_H30e zenon_H22a zenon_H22b zenon_H30b zenon_H2eb zenon_H26a zenon_H2e6 zenon_H20a zenon_H204 zenon_H2d7 zenon_H2c7 zenon_H32f zenon_H324 zenon_H301 zenon_H2f6 zenon_H2f9 zenon_H25d zenon_H32b zenon_H2f3 zenon_H2ee zenon_H2de zenon_H2e3 zenon_H290 zenon_H242 zenon_H234 zenon_H23a zenon_H23e zenon_H304 zenon_H279 zenon_H330 zenon_H80 zenon_H2c zenon_H33 zenon_H26e.
% 43.17/43.42 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H338 ].
% 43.17/43.42 apply (zenon_or_s _ _ zenon_H2c7); [ zenon_intro zenon_H1a | zenon_intro zenon_H2c8 ].
% 43.17/43.42 apply (zenon_L227_); trivial.
% 43.17/43.42 apply (zenon_or_s _ _ zenon_H2c8); [ zenon_intro zenon_H1fd | zenon_intro zenon_H2c9 ].
% 43.17/43.42 apply (zenon_L445_); trivial.
% 43.17/43.42 apply (zenon_or_s _ _ zenon_H2c9); [ zenon_intro zenon_H208 | zenon_intro zenon_H2ca ].
% 43.17/43.42 apply (zenon_L154_); trivial.
% 43.17/43.42 apply (zenon_or_s _ _ zenon_H2ca); [ zenon_intro zenon_H210 | zenon_intro zenon_H2cb ].
% 43.17/43.42 apply (zenon_L156_); trivial.
% 43.17/43.42 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H213 | zenon_intro zenon_H2cc ].
% 43.17/43.42 apply (zenon_L157_); trivial.
% 43.17/43.42 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H21b | zenon_intro zenon_H2cd ].
% 43.17/43.42 apply (zenon_L160_); trivial.
% 43.17/43.42 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H225 | zenon_intro zenon_H2ce ].
% 43.17/43.42 apply (zenon_L255_); trivial.
% 43.17/43.42 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H231 | zenon_intro zenon_H2cf ].
% 43.17/43.42 apply (zenon_L164_); trivial.
% 43.17/43.42 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_H245 | zenon_intro zenon_H2d0 ].
% 43.17/43.42 apply (zenon_L232_); trivial.
% 43.17/43.42 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H2a5 | zenon_intro zenon_H2d1 ].
% 43.17/43.42 apply (zenon_L449_); trivial.
% 43.17/43.42 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H2ae | zenon_intro zenon_H2d2 ].
% 43.17/43.42 apply (zenon_L198_); trivial.
% 43.17/43.42 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H2b0 | zenon_intro zenon_H2d3 ].
% 43.17/43.42 apply (zenon_L199_); trivial.
% 43.17/43.42 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H2b3 | zenon_intro zenon_H2d4 ].
% 43.17/43.42 apply (zenon_L200_); trivial.
% 43.17/43.42 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_H2bc | zenon_intro zenon_H2d5 ].
% 43.17/43.42 apply (zenon_L202_); trivial.
% 43.17/43.42 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2c5 ].
% 43.17/43.42 apply (zenon_L203_); trivial.
% 43.17/43.42 apply (zenon_L204_); trivial.
% 43.17/43.42 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ].
% 43.17/43.42 exact (zenon_H15 zenon_H14).
% 43.17/43.42 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ].
% 43.17/43.42 apply (zenon_L258_); trivial.
% 43.17/43.42 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ].
% 43.17/43.42 apply (zenon_L173_); trivial.
% 43.17/43.42 apply (zenon_L252_); trivial.
% 43.17/43.42 (* end of lemma zenon_L452_ *)
% 43.17/43.42 assert (zenon_L453_ : ((~((op2 (e22) (e20)) = (e22)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> ((~((op2 (e21) (e21)) = (e21)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (~((op2 (e21) (e20)) = (e21))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))))))))))))))))) -> (~((e10) = (e12))) -> (~((e12) = (e13))) -> (~((e11) = (e12))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (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 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((~((op1 (e11) (e10)) = (e11)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e12)) = (e22)) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((h3 (op1 (e12) (e10))) = (op2 (h3 (e12)) (h3 (e10))))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((e21) = (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e22) = (e23))) -> (~((e20) = (e22))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))))))))))))))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((e21) = (e23))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((op2 (e20) (e20)) = (e22)) -> ((~((op2 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (~((e20) = (e23))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> False).
% 43.17/43.42 do 0 intro. intros zenon_H354 zenon_H330 zenon_H214 zenon_Hc4 zenon_H48 zenon_H60 zenon_H42 zenon_H133 zenon_H192 zenon_H16b zenon_H166 zenon_Hbd zenon_Hca zenon_Hf9 zenon_H6e zenon_H5f zenon_He8 zenon_H6a zenon_Hc1 zenon_H105 zenon_H178 zenon_H16e zenon_H174 zenon_H189 zenon_H182 zenon_H66 zenon_H17f zenon_He0 zenon_H57 zenon_H18c zenon_H161 zenon_H126 zenon_H15c zenon_Hb2 zenon_Hac zenon_H152 zenon_H142 zenon_H17b zenon_H11a zenon_H169 zenon_H1db zenon_H1d9 zenon_H1f3 zenon_H1f4 zenon_H1e0 zenon_H1e4 zenon_H1ed zenon_H1ec zenon_H1f5 zenon_H1fc zenon_H1c2 zenon_H1d5 zenon_H73 zenon_H1d3 zenon_H1be zenon_H1d2 zenon_H1b6 zenon_H37f zenon_H1d8 zenon_H1c8 zenon_H1aa zenon_H1b0 zenon_H1ba zenon_Hf6 zenon_H1bf zenon_H1a8 zenon_H1c3 zenon_H47 zenon_H1a4 zenon_H19f zenon_H19e zenon_H9c zenon_H249 zenon_H345 zenon_H29c zenon_H2b zenon_H381 zenon_H36f zenon_H3d4 zenon_H1fe zenon_H337 zenon_H15 zenon_H2f1 zenon_H22b zenon_H22a zenon_H26a zenon_H279 zenon_H288 zenon_H304 zenon_H2c7 zenon_H2d7 zenon_H204 zenon_H20a zenon_H2e6 zenon_H2eb zenon_H30b zenon_H30e zenon_H2fe zenon_H93 zenon_H31e zenon_H316 zenon_H311 zenon_H321 zenon_H264 zenon_H276 zenon_H23e zenon_H23a zenon_H234 zenon_H242 zenon_H290 zenon_H2e3 zenon_H2de zenon_H2ee zenon_H2f3 zenon_H32b zenon_H21a zenon_H25d zenon_H2f9 zenon_H2f6 zenon_H301 zenon_H324 zenon_H25a zenon_H32f zenon_H80 zenon_H2c zenon_H33 zenon_H26e.
% 43.17/43.43 apply (zenon_or_s _ _ zenon_H354); [ zenon_intro zenon_H346 | zenon_intro zenon_H338 ].
% 43.17/43.43 apply (zenon_L452_); trivial.
% 43.17/43.43 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ].
% 43.17/43.43 exact (zenon_H15 zenon_H14).
% 43.17/43.43 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ].
% 43.17/43.43 apply (zenon_L249_); trivial.
% 43.17/43.43 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ].
% 43.17/43.43 apply (zenon_L173_); trivial.
% 43.17/43.43 apply (zenon_L252_); trivial.
% 43.17/43.43 (* end of lemma zenon_L453_ *)
% 43.17/43.43 assert (zenon_L454_ : ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((h3 (op1 (e12) (e10))) = (op2 (h3 (e12)) (h3 (e10))))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e12)) = (e22)) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (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) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e11) (e10)) = (e11)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (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)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e12) = (e13))) -> (~((e10) = (e12))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))))))))))))))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (~((e20) = (e23))) -> ((~((op2 (e21) (e21)) = (e21)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((e21) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((e20) = (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))))))))))))))))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e20)) = (e20))) -> ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (e21))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e20)) = (e21)) -> ((~((op2 (e22) (e20)) = (e22)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((e22) = (e23))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((e21) = (e22))) -> False).
% 43.17/43.43 do 0 intro. intros zenon_H1fe zenon_H3d4 zenon_H36f zenon_H381 zenon_H2b zenon_H29c zenon_H19e zenon_H19f zenon_H1a4 zenon_H47 zenon_H1c3 zenon_H1a8 zenon_H1bf zenon_Hf6 zenon_H1ba zenon_H1b0 zenon_H1aa zenon_H1c8 zenon_H1d8 zenon_H37f zenon_H1b6 zenon_H1d2 zenon_H1be zenon_H1d3 zenon_H73 zenon_H1d5 zenon_H1c2 zenon_H1fc zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H1e4 zenon_H1e0 zenon_H1f4 zenon_H1f3 zenon_H1d9 zenon_H1db zenon_H169 zenon_H11a zenon_H17b zenon_H142 zenon_H152 zenon_Hac zenon_Hb2 zenon_H15c zenon_H126 zenon_H161 zenon_H18c zenon_H57 zenon_He0 zenon_H17f zenon_H66 zenon_H182 zenon_H189 zenon_H174 zenon_H16e zenon_H178 zenon_H105 zenon_Hc1 zenon_H6a zenon_He8 zenon_H5f zenon_H6e zenon_Hf9 zenon_Hca zenon_Hbd zenon_H166 zenon_H16b zenon_H192 zenon_H133 zenon_H42 zenon_H60 zenon_H48 zenon_Hc4 zenon_H2c zenon_H80 zenon_H330 zenon_H32f zenon_H324 zenon_H301 zenon_H2f6 zenon_H2f9 zenon_H25d zenon_H32b zenon_H2f3 zenon_H2ee zenon_H2de zenon_H2e3 zenon_H290 zenon_H242 zenon_H234 zenon_H23a zenon_H23e zenon_H276 zenon_H264 zenon_H321 zenon_H311 zenon_H316 zenon_H31e zenon_H93 zenon_H2fe zenon_H30e zenon_H30b zenon_H2eb zenon_H2e6 zenon_H20a zenon_H204 zenon_H2d7 zenon_H2c7 zenon_H304 zenon_H15 zenon_H337 zenon_H352 zenon_H33d zenon_H24d zenon_H349 zenon_H27d zenon_H342 zenon_H260 zenon_H253 zenon_H33c zenon_H27c zenon_H33e zenon_H85 zenon_H214 zenon_H29d zenon_H345 zenon_H249 zenon_H9c zenon_H256 zenon_H309 zenon_H354 zenon_H288 zenon_H279 zenon_H26a zenon_H22a zenon_H33 zenon_H22b zenon_H26e zenon_H2f1.
% 43.17/43.43 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H226 | zenon_intro zenon_H32c ].
% 43.17/43.43 apply (zenon_L451_); trivial.
% 43.17/43.43 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H25a | zenon_intro zenon_H32d ].
% 43.17/43.43 apply (zenon_L230_); trivial.
% 43.17/43.43 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H328 | zenon_intro zenon_H32e ].
% 43.17/43.43 apply (zenon_L296_); trivial.
% 43.17/43.43 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H2ab | zenon_intro zenon_H31a ].
% 43.17/43.43 apply (zenon_L197_); trivial.
% 43.17/43.43 apply (zenon_L245_); trivial.
% 43.17/43.43 (* end of lemma zenon_L454_ *)
% 43.17/43.43 assert (zenon_L455_ : ((~((op2 (e21) (e20)) = (e21)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> ((~((op2 (e22) (e20)) = (e22)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e21) (e21)) = (e21)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> 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(e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 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(e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))))))))))))))))) -> (~((e10) = (e12))) -> (~((e12) = (e13))) -> (~((e11) = (e12))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (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 (e12) (e12)) = (e12)))\/(((op1 (e10) 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(e20))))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e12)) = (e22)) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((h3 (op1 (e12) (e10))) = (op2 (h3 (e12)) (h3 (e10))))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((e21) = (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e22) = (e23))) -> (~((e20) = (e22))) -> ((op2 (e20) (e20)) = (e21)) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))))))))))))))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((e21) = (e23))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (~((e20) = (e23))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> False).
% 43.17/43.43 do 0 intro. intros zenon_H33b zenon_H354 zenon_H256 zenon_H9c zenon_H249 zenon_H345 zenon_H29d zenon_H85 zenon_H33e zenon_H27c zenon_H33c zenon_H253 zenon_H260 zenon_H342 zenon_H27d zenon_H349 zenon_H24d zenon_H33d zenon_H352 zenon_H337 zenon_H30b zenon_H30e zenon_H93 zenon_H31e zenon_H316 zenon_H311 zenon_H321 zenon_H324 zenon_H32f zenon_H330 zenon_Hc4 zenon_H48 zenon_H60 zenon_H42 zenon_H133 zenon_H192 zenon_H16b zenon_H166 zenon_Hbd zenon_Hca zenon_Hf9 zenon_H6e zenon_H5f zenon_He8 zenon_H6a zenon_Hc1 zenon_H105 zenon_H178 zenon_H16e zenon_H174 zenon_H189 zenon_H182 zenon_H66 zenon_H17f zenon_He0 zenon_H57 zenon_H18c zenon_H161 zenon_H126 zenon_H15c zenon_Hb2 zenon_Hac zenon_H152 zenon_H142 zenon_H17b zenon_H11a zenon_H169 zenon_H1db zenon_H1d9 zenon_H1f3 zenon_H1f4 zenon_H1e0 zenon_H1e4 zenon_H1ed zenon_H1ec zenon_H1f5 zenon_H1fc zenon_H1c2 zenon_H1d5 zenon_H73 zenon_H1d3 zenon_H1be zenon_H1d2 zenon_H1b6 zenon_H37f zenon_H1d8 zenon_H1c8 zenon_H1aa zenon_H1b0 zenon_H1ba zenon_Hf6 zenon_H1bf zenon_H1a8 zenon_H1c3 zenon_H47 zenon_H1a4 zenon_H19f zenon_H19e zenon_H29c zenon_H2b zenon_H381 zenon_H36f zenon_H3d4 zenon_H1fe zenon_H15 zenon_H2f1 zenon_H22b zenon_H22a zenon_H26a zenon_H279 zenon_H288 zenon_H304 zenon_H309 zenon_H2c7 zenon_H2d7 zenon_H204 zenon_H20a zenon_H23a zenon_H290 zenon_H2e3 zenon_H2eb zenon_H2e6 zenon_H2de zenon_H2ee zenon_H2f3 zenon_H23e zenon_H301 zenon_H2f6 zenon_H2f9 zenon_H2fe zenon_H25d zenon_H234 zenon_H242 zenon_H264 zenon_H276 zenon_H32b zenon_H80 zenon_H2c zenon_H33 zenon_H26e.
% 43.17/43.43 apply (zenon_or_s _ _ zenon_H33b); [ zenon_intro zenon_H214 | zenon_intro zenon_H338 ].
% 43.17/43.43 apply (zenon_L454_); trivial.
% 43.17/43.43 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ].
% 43.17/43.43 exact (zenon_H15 zenon_H14).
% 43.17/43.43 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ].
% 43.17/43.43 apply (zenon_L246_); trivial.
% 43.17/43.43 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ].
% 43.17/43.43 apply (zenon_L173_); trivial.
% 43.17/43.43 apply (zenon_L252_); trivial.
% 43.17/43.43 (* end of lemma zenon_L455_ *)
% 43.17/43.43 assert (zenon_L456_ : ((~((op2 (e22) (e20)) = (e22)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> ((~((op2 (e21) (e21)) = (e21)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e20) = (e22))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))))))))))))))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((e21) = (e22))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((op2 (e20) (e20)) = (e22)) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e22) = (e23))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((e21) = (e23))) -> (~((op2 (e21) (e20)) = (e21))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))))))))))))))))) -> (~((e10) = (e12))) -> (~((e12) = (e13))) -> (~((e11) = (e12))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (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 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((~((op1 (e11) (e10)) = (e11)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e12)) = (e22)) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((h3 (op1 (e12) (e10))) = (op2 (h3 (e12)) (h3 (e10))))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((e20) = (e21))) -> ((op2 (e21) (e21)) = (e21)) -> (~((e20) = (e23))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> False).
% 43.27/43.43 do 0 intro. intros zenon_H354 zenon_H330 zenon_H279 zenon_H304 zenon_H23e zenon_H23a zenon_H234 zenon_H242 zenon_H290 zenon_H2e3 zenon_H2de zenon_H2ee zenon_H2f3 zenon_H32b zenon_H25d zenon_H2f9 zenon_H2f6 zenon_H301 zenon_H324 zenon_H32f zenon_H2c7 zenon_H2d7 zenon_H204 zenon_H20a zenon_H26a zenon_H2eb zenon_H30b zenon_H22b zenon_H22a zenon_H30e zenon_H2f1 zenon_H2fe zenon_H93 zenon_H25a zenon_H31e zenon_H288 zenon_H316 zenon_H311 zenon_H321 zenon_H264 zenon_H276 zenon_H214 zenon_Hc4 zenon_H48 zenon_H60 zenon_H42 zenon_H133 zenon_H192 zenon_H16b zenon_H166 zenon_Hbd zenon_Hca zenon_Hf9 zenon_H6e zenon_H5f zenon_He8 zenon_H6a zenon_Hc1 zenon_H105 zenon_H178 zenon_H16e zenon_H174 zenon_H189 zenon_H182 zenon_H66 zenon_H17f zenon_He0 zenon_H57 zenon_H18c zenon_H161 zenon_H126 zenon_H15c zenon_Hb2 zenon_Hac zenon_H152 zenon_H142 zenon_H17b zenon_H11a zenon_H169 zenon_H1db zenon_H1d9 zenon_H1f3 zenon_H1f4 zenon_H1e0 zenon_H1e4 zenon_H1ed zenon_H1ec zenon_H1f5 zenon_H1fc zenon_H1c2 zenon_H1d5 zenon_H73 zenon_H1d3 zenon_H1be zenon_H1d2 zenon_H1b6 zenon_H37f zenon_H1d8 zenon_H1c8 zenon_H1aa zenon_H1b0 zenon_H1ba zenon_Hf6 zenon_H1bf zenon_H1a8 zenon_H1c3 zenon_H47 zenon_H1a4 zenon_H19f zenon_H19e zenon_H9c zenon_H249 zenon_H345 zenon_H29c zenon_H2b zenon_H381 zenon_H36f zenon_H3d4 zenon_H1fe zenon_H337 zenon_H15 zenon_H2e6 zenon_H219 zenon_H80 zenon_H2c zenon_H33 zenon_H26e.
% 43.27/43.43 apply (zenon_or_s _ _ zenon_H354); [ zenon_intro zenon_H346 | zenon_intro zenon_H338 ].
% 43.27/43.43 apply (zenon_L452_); trivial.
% 43.27/43.43 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ].
% 43.27/43.43 exact (zenon_H15 zenon_H14).
% 43.27/43.43 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ].
% 43.27/43.43 apply (zenon_L212_); trivial.
% 43.27/43.43 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ].
% 43.27/43.43 apply (zenon_L173_); trivial.
% 43.27/43.43 apply (zenon_L252_); trivial.
% 43.27/43.43 (* end of lemma zenon_L456_ *)
% 43.27/43.43 assert (zenon_L457_ : ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (~((e20) = (e23))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e20)) = (e20))) -> ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((h3 (op1 (e12) (e10))) = (op2 (h3 (e12)) (h3 (e10))))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e12)) = (e22)) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (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) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e11) (e10)) = (e11)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (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)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e12) = (e13))) -> (~((e10) = (e12))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))))))))))))))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op2 (e21) (e20)) = (e21))) -> (~((e21) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))))))))))))))))) -> ((~((op2 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((e20) = (e22))) -> ((~((op2 (e21) (e21)) = (e21)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e22) (e20)) = (e22)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> ((op2 (e21) (e21)) = (e21)) -> (~((e22) = (e23))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((e21) = (e22))) -> False).
% 43.27/43.43 do 0 intro. intros zenon_H2c zenon_H80 zenon_H2e6 zenon_H15 zenon_H337 zenon_H1fe zenon_H3d4 zenon_H36f zenon_H381 zenon_H2b zenon_H29c zenon_H345 zenon_H249 zenon_H9c zenon_H19e zenon_H19f zenon_H1a4 zenon_H47 zenon_H1c3 zenon_H1a8 zenon_H1bf zenon_Hf6 zenon_H1ba zenon_H1b0 zenon_H1aa zenon_H1c8 zenon_H1d8 zenon_H37f zenon_H1b6 zenon_H1d2 zenon_H1be zenon_H1d3 zenon_H73 zenon_H1d5 zenon_H1c2 zenon_H1fc zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H1e4 zenon_H1e0 zenon_H1f4 zenon_H1f3 zenon_H1d9 zenon_H1db zenon_H169 zenon_H11a zenon_H17b zenon_H142 zenon_H152 zenon_Hac zenon_Hb2 zenon_H15c zenon_H126 zenon_H161 zenon_H18c zenon_H57 zenon_He0 zenon_H17f zenon_H66 zenon_H182 zenon_H189 zenon_H174 zenon_H16e zenon_H178 zenon_H105 zenon_Hc1 zenon_H6a zenon_He8 zenon_H5f zenon_H6e zenon_Hf9 zenon_Hca zenon_Hbd zenon_H166 zenon_H16b zenon_H192 zenon_H133 zenon_H42 zenon_H60 zenon_H48 zenon_Hc4 zenon_H214 zenon_H276 zenon_H264 zenon_H321 zenon_H311 zenon_H316 zenon_H31e zenon_H93 zenon_H2fe zenon_H30e zenon_H30b zenon_H2eb zenon_H20a zenon_H204 zenon_H2d7 zenon_H2c7 zenon_H32f zenon_H324 zenon_H301 zenon_H2f6 zenon_H2f9 zenon_H25d zenon_H32b zenon_H2f3 zenon_H2ee zenon_H2de zenon_H2e3 zenon_H290 zenon_H242 zenon_H234 zenon_H23a zenon_H23e zenon_H304 zenon_H330 zenon_H354 zenon_H219 zenon_H288 zenon_H279 zenon_H26a zenon_H22a zenon_H33 zenon_H22b zenon_H26e zenon_H2f1.
% 43.27/43.43 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H226 | zenon_intro zenon_H32c ].
% 43.27/43.43 apply (zenon_L451_); trivial.
% 43.27/43.43 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H25a | zenon_intro zenon_H32d ].
% 43.27/43.43 apply (zenon_L456_); trivial.
% 43.27/43.43 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H328 | zenon_intro zenon_H32e ].
% 43.27/43.43 apply (zenon_L270_); trivial.
% 43.27/43.43 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H2ab | zenon_intro zenon_H31a ].
% 43.27/43.43 apply (zenon_L197_); trivial.
% 43.27/43.43 apply (zenon_L245_); trivial.
% 43.27/43.43 (* end of lemma zenon_L457_ *)
% 43.27/43.43 assert (zenon_L458_ : ((~((op2 (e21) (e20)) = (e21)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((e21) = (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e22) = (e23))) -> ((~((op2 (e22) (e20)) = (e22)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> ((~((op2 (e21) (e21)) = (e21)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (~((e20) = (e22))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 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(e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((~((op1 (e11) (e10)) = (e11)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e12)) = (e22)) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((h3 (op1 (e12) (e10))) = (op2 (h3 (e12)) (h3 (e10))))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((e20) = (e21))) -> ((op2 (e21) (e21)) = (e21)) -> (~((e20) = (e23))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> False).
% 43.27/43.43 do 0 intro. intros zenon_H33b zenon_H2f1 zenon_H22b zenon_H22a zenon_H26a zenon_H279 zenon_H288 zenon_H354 zenon_H330 zenon_H304 zenon_H23e zenon_H23a zenon_H234 zenon_H242 zenon_H290 zenon_H2e3 zenon_H2de zenon_H2ee zenon_H2f3 zenon_H32b zenon_H25d zenon_H2f9 zenon_H2f6 zenon_H301 zenon_H324 zenon_H32f zenon_H2c7 zenon_H2d7 zenon_H204 zenon_H20a zenon_H2eb zenon_H30b zenon_H30e zenon_H2fe zenon_H93 zenon_H31e zenon_H316 zenon_H311 zenon_H321 zenon_H264 zenon_H276 zenon_Hc4 zenon_H48 zenon_H60 zenon_H42 zenon_H133 zenon_H192 zenon_H16b zenon_H166 zenon_Hbd zenon_Hca zenon_Hf9 zenon_H6e zenon_H5f zenon_He8 zenon_H6a zenon_Hc1 zenon_H105 zenon_H178 zenon_H16e zenon_H174 zenon_H189 zenon_H182 zenon_H66 zenon_H17f zenon_He0 zenon_H57 zenon_H18c zenon_H161 zenon_H126 zenon_H15c zenon_Hb2 zenon_Hac zenon_H152 zenon_H142 zenon_H17b zenon_H11a zenon_H169 zenon_H1db zenon_H1d9 zenon_H1f3 zenon_H1f4 zenon_H1e0 zenon_H1e4 zenon_H1ed zenon_H1ec zenon_H1f5 zenon_H1fc zenon_H1c2 zenon_H1d5 zenon_H73 zenon_H1d3 zenon_H1be zenon_H1d2 zenon_H1b6 zenon_H37f zenon_H1d8 zenon_H1c8 zenon_H1aa zenon_H1b0 zenon_H1ba zenon_Hf6 zenon_H1bf zenon_H1a8 zenon_H1c3 zenon_H47 zenon_H1a4 zenon_H19f zenon_H19e zenon_H9c zenon_H249 zenon_H345 zenon_H29c zenon_H2b zenon_H381 zenon_H36f zenon_H3d4 zenon_H1fe zenon_H337 zenon_H15 zenon_H2e6 zenon_H219 zenon_H80 zenon_H2c zenon_H33 zenon_H26e.
% 43.27/43.43 apply (zenon_or_s _ _ zenon_H33b); [ zenon_intro zenon_H214 | zenon_intro zenon_H338 ].
% 43.27/43.43 apply (zenon_L457_); trivial.
% 43.27/43.43 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ].
% 43.27/43.43 exact (zenon_H15 zenon_H14).
% 43.27/43.43 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ].
% 43.27/43.43 apply (zenon_L212_); trivial.
% 43.27/43.43 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ].
% 43.27/43.43 apply (zenon_L173_); trivial.
% 43.27/43.43 apply (zenon_L252_); trivial.
% 43.27/43.43 (* end of lemma zenon_L458_ *)
% 43.27/43.43 assert (zenon_L459_ : ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> ((op2 (e23) (e23)) = (e21)) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((h3 (op1 (e12) (e10))) = (op2 (h3 (e12)) (h3 (e10))))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e12)) = (e22)) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e20)) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (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) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e11) (e10)) = (e11)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (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)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e12) = (e13))) -> (~((e10) = (e12))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))))))))))))))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op2 (e21) (e20)) = (e21))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((e21) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((e22) = (e23))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((op2 (e20) (e20)) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((e20) = (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))))))))))))))))) -> ((~((op2 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> ((~((op2 (e21) (e21)) = (e21)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (~((e20) = (e23))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> False).
% 43.27/43.44 do 0 intro. intros zenon_H337 zenon_H274 zenon_H1fe zenon_H3d4 zenon_H36f zenon_H381 zenon_H2b zenon_H29c zenon_H345 zenon_H249 zenon_H346 zenon_H9c zenon_H19e zenon_H19f zenon_H1a4 zenon_H47 zenon_H1c3 zenon_H1a8 zenon_H1bf zenon_Hf6 zenon_H1ba zenon_H1b0 zenon_H1aa zenon_H1c8 zenon_H1d8 zenon_H37f zenon_H1b6 zenon_H1d2 zenon_H1be zenon_H1d3 zenon_H73 zenon_H1d5 zenon_H1c2 zenon_H1fc zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H1e4 zenon_H1e0 zenon_H1f4 zenon_H1f3 zenon_H1d9 zenon_H1db zenon_H169 zenon_H11a zenon_H17b zenon_H142 zenon_H152 zenon_Hac zenon_Hb2 zenon_H15c zenon_H126 zenon_H161 zenon_H18c zenon_H57 zenon_He0 zenon_H17f zenon_H66 zenon_H182 zenon_H189 zenon_H174 zenon_H16e zenon_H178 zenon_H105 zenon_Hc1 zenon_H6a zenon_He8 zenon_H5f zenon_H6e zenon_Hf9 zenon_Hca zenon_Hbd zenon_H166 zenon_H16b zenon_H192 zenon_H133 zenon_H42 zenon_H60 zenon_H48 zenon_Hc4 zenon_H214 zenon_H15 zenon_H276 zenon_H264 zenon_H321 zenon_H311 zenon_H316 zenon_H288 zenon_H31e zenon_H25a zenon_H93 zenon_H2fe zenon_H2f1 zenon_H30e zenon_H22a zenon_H22b zenon_H30b zenon_H2eb zenon_H26a zenon_H2e6 zenon_H20a zenon_H204 zenon_H2d7 zenon_H2c7 zenon_H32f zenon_H324 zenon_H301 zenon_H2f6 zenon_H2f9 zenon_H25d zenon_H32b zenon_H2f3 zenon_H2ee zenon_H2de zenon_H2e3 zenon_H290 zenon_H242 zenon_H234 zenon_H23a zenon_H23e zenon_H304 zenon_H279 zenon_H330 zenon_H80 zenon_H2c zenon_H33 zenon_H26e.
% 43.27/43.44 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H338 ].
% 43.27/43.44 apply (zenon_or_s _ _ zenon_H2c7); [ zenon_intro zenon_H1a | zenon_intro zenon_H2c8 ].
% 43.27/43.44 apply (zenon_L227_); trivial.
% 43.27/43.44 apply (zenon_or_s _ _ zenon_H2c8); [ zenon_intro zenon_H1fd | zenon_intro zenon_H2c9 ].
% 43.27/43.44 apply (zenon_L445_); trivial.
% 43.27/43.44 apply (zenon_or_s _ _ zenon_H2c9); [ zenon_intro zenon_H208 | zenon_intro zenon_H2ca ].
% 43.27/43.44 apply (zenon_L154_); trivial.
% 43.27/43.44 apply (zenon_or_s _ _ zenon_H2ca); [ zenon_intro zenon_H210 | zenon_intro zenon_H2cb ].
% 43.27/43.44 apply (zenon_L156_); trivial.
% 43.27/43.44 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H213 | zenon_intro zenon_H2cc ].
% 43.27/43.44 apply (zenon_L157_); trivial.
% 43.27/43.44 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H21b | zenon_intro zenon_H2cd ].
% 43.27/43.44 apply (zenon_L160_); trivial.
% 43.27/43.44 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H225 | zenon_intro zenon_H2ce ].
% 43.27/43.44 apply (zenon_L255_); trivial.
% 43.27/43.44 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H231 | zenon_intro zenon_H2cf ].
% 43.27/43.44 apply (zenon_L164_); trivial.
% 43.27/43.44 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_H245 | zenon_intro zenon_H2d0 ].
% 43.27/43.44 apply (zenon_L232_); trivial.
% 43.27/43.44 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H2a5 | zenon_intro zenon_H2d1 ].
% 43.27/43.44 apply (zenon_L449_); trivial.
% 43.27/43.44 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H2ae | zenon_intro zenon_H2d2 ].
% 43.27/43.44 apply (zenon_L198_); trivial.
% 43.27/43.44 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H2b0 | zenon_intro zenon_H2d3 ].
% 43.27/43.44 apply (zenon_L199_); trivial.
% 43.27/43.44 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H2b3 | zenon_intro zenon_H2d4 ].
% 43.27/43.44 apply (zenon_L200_); trivial.
% 43.27/43.44 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_H2bc | zenon_intro zenon_H2d5 ].
% 43.27/43.44 apply (zenon_L240_); trivial.
% 43.27/43.44 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2c5 ].
% 43.27/43.44 apply (zenon_L203_); trivial.
% 43.27/43.44 apply (zenon_L241_); trivial.
% 43.27/43.44 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ].
% 43.27/43.44 exact (zenon_H15 zenon_H14).
% 43.27/43.44 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ].
% 43.27/43.44 apply (zenon_L258_); trivial.
% 43.27/43.44 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ].
% 43.27/43.44 apply (zenon_L173_); trivial.
% 43.27/43.44 apply (zenon_L252_); trivial.
% 43.27/43.44 (* end of lemma zenon_L459_ *)
% 43.27/43.44 assert (zenon_L460_ : ((~((op2 (e22) (e20)) = (e22)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> ((op2 (e20) (e20)) = (e22)) -> (~((op2 (e21) (e20)) = (e21))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))))))))))))))))) -> (~((e10) = (e12))) -> (~((e12) = (e13))) -> (~((e11) = (e12))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (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 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((~((op1 (e11) (e10)) = (e11)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e12)) = (e22)) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((h3 (op1 (e12) (e10))) = (op2 (h3 (e12)) (h3 (e10))))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((op2 (e23) (e23)) = (e21)) -> ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((e21) = (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e22) = (e23))) -> (~((e20) = (e22))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))))))))))))))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((e21) = (e23))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e21) (e21)) = (e21)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (~((e20) = (e23))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> False).
% 43.27/43.44 do 0 intro. intros zenon_H354 zenon_H25a zenon_H214 zenon_Hc4 zenon_H48 zenon_H60 zenon_H42 zenon_H133 zenon_H192 zenon_H16b zenon_H166 zenon_Hbd zenon_Hca zenon_Hf9 zenon_H6e zenon_H5f zenon_He8 zenon_H6a zenon_Hc1 zenon_H105 zenon_H178 zenon_H16e zenon_H174 zenon_H189 zenon_H182 zenon_H66 zenon_H17f zenon_He0 zenon_H57 zenon_H18c zenon_H161 zenon_H126 zenon_H15c zenon_Hb2 zenon_Hac zenon_H152 zenon_H142 zenon_H17b zenon_H11a zenon_H169 zenon_H1db zenon_H1d9 zenon_H1f3 zenon_H1f4 zenon_H1e0 zenon_H1e4 zenon_H1ed zenon_H1ec zenon_H1f5 zenon_H1fc zenon_H1c2 zenon_H1d5 zenon_H73 zenon_H1d3 zenon_H1be zenon_H1d2 zenon_H1b6 zenon_H37f zenon_H1d8 zenon_H1c8 zenon_H1aa zenon_H1b0 zenon_H1ba zenon_Hf6 zenon_H1bf zenon_H1a8 zenon_H1c3 zenon_H47 zenon_H1a4 zenon_H19f zenon_H19e zenon_H9c zenon_H249 zenon_H345 zenon_H29c zenon_H2b zenon_H381 zenon_H36f zenon_H3d4 zenon_H1fe zenon_H274 zenon_H337 zenon_H15 zenon_H2f1 zenon_H22b zenon_H22a zenon_H26a zenon_H279 zenon_H288 zenon_H304 zenon_H2c7 zenon_H2d7 zenon_H204 zenon_H20a zenon_H2e6 zenon_H2eb zenon_H30b zenon_H30e zenon_H2fe zenon_H93 zenon_H31e zenon_H316 zenon_H311 zenon_H321 zenon_H264 zenon_H276 zenon_H23e zenon_H23a zenon_H234 zenon_H242 zenon_H290 zenon_H2e3 zenon_H2de zenon_H2ee zenon_H2f3 zenon_H32b zenon_H25d zenon_H2f9 zenon_H2f6 zenon_H301 zenon_H324 zenon_H32f zenon_H330 zenon_H80 zenon_H2c zenon_H33 zenon_H26e.
% 43.27/43.44 apply (zenon_or_s _ _ zenon_H354); [ zenon_intro zenon_H346 | zenon_intro zenon_H338 ].
% 43.27/43.44 apply (zenon_L459_); trivial.
% 43.27/43.44 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ].
% 43.27/43.44 exact (zenon_H15 zenon_H14).
% 43.27/43.44 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ].
% 43.27/43.44 apply (zenon_L251_); trivial.
% 43.27/43.44 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ].
% 43.27/43.44 apply (zenon_L173_); trivial.
% 43.27/43.44 apply (zenon_L252_); trivial.
% 43.27/43.44 (* end of lemma zenon_L460_ *)
% 43.27/43.44 assert (zenon_L461_ : ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((h3 (op1 (e12) (e10))) = (op2 (h3 (e12)) (h3 (e10))))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e12)) = (e22)) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (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) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e11) (e10)) = (e11)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (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)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e12) = (e13))) -> (~((e10) = (e12))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))))))))))))))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (~((e20) = (e23))) -> ((~((op2 (e21) (e21)) = (e21)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((e21) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((e20) = (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))))))))))))))))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e20)) = (e20))) -> ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> ((op2 (e23) (e23)) = (e21)) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e20)) = (e21))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((~((op2 (e22) (e20)) = (e22)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((e22) = (e23))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((e21) = (e22))) -> False).
% 43.27/43.44 do 0 intro. intros zenon_H1fe zenon_H3d4 zenon_H36f zenon_H381 zenon_H2b zenon_H29c zenon_H19e zenon_H19f zenon_H1a4 zenon_H47 zenon_H1c3 zenon_H1a8 zenon_H1bf zenon_Hf6 zenon_H1ba zenon_H1b0 zenon_H1aa zenon_H1c8 zenon_H1d8 zenon_H37f zenon_H1b6 zenon_H1d2 zenon_H1be zenon_H1d3 zenon_H73 zenon_H1d5 zenon_H1c2 zenon_H1fc zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H1e4 zenon_H1e0 zenon_H1f4 zenon_H1f3 zenon_H1d9 zenon_H1db zenon_H169 zenon_H11a zenon_H17b zenon_H142 zenon_H152 zenon_Hac zenon_Hb2 zenon_H15c zenon_H126 zenon_H161 zenon_H18c zenon_H57 zenon_He0 zenon_H17f zenon_H66 zenon_H182 zenon_H189 zenon_H174 zenon_H16e zenon_H178 zenon_H105 zenon_Hc1 zenon_H6a zenon_He8 zenon_H5f zenon_H6e zenon_Hf9 zenon_Hca zenon_Hbd zenon_H166 zenon_H16b zenon_H192 zenon_H133 zenon_H42 zenon_H60 zenon_H48 zenon_Hc4 zenon_H2c zenon_H80 zenon_H330 zenon_H32f zenon_H324 zenon_H301 zenon_H2f6 zenon_H2f9 zenon_H25d zenon_H32b zenon_H2f3 zenon_H2ee zenon_H2de zenon_H2e3 zenon_H290 zenon_H242 zenon_H234 zenon_H23a zenon_H23e zenon_H276 zenon_H264 zenon_H321 zenon_H311 zenon_H316 zenon_H31e zenon_H93 zenon_H2fe zenon_H30e zenon_H30b zenon_H2eb zenon_H2e6 zenon_H20a zenon_H204 zenon_H2d7 zenon_H2c7 zenon_H304 zenon_H15 zenon_H337 zenon_H274 zenon_H352 zenon_H33d zenon_H214 zenon_H349 zenon_H27d zenon_H24d zenon_H342 zenon_H260 zenon_H253 zenon_H33c zenon_H27c zenon_H33e zenon_H85 zenon_H29d zenon_H345 zenon_H249 zenon_H9c zenon_H256 zenon_H354 zenon_H288 zenon_H279 zenon_H26a zenon_H22a zenon_H33 zenon_H22b zenon_H26e zenon_H2f1.
% 43.27/43.44 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H226 | zenon_intro zenon_H32c ].
% 43.27/43.44 apply (zenon_L451_); trivial.
% 43.27/43.44 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H25a | zenon_intro zenon_H32d ].
% 43.27/43.44 apply (zenon_L460_); trivial.
% 43.27/43.44 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H328 | zenon_intro zenon_H32e ].
% 43.27/43.44 apply (zenon_L302_); trivial.
% 43.27/43.44 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H2ab | zenon_intro zenon_H31a ].
% 43.27/43.44 apply (zenon_L197_); trivial.
% 43.27/43.44 apply (zenon_L245_); trivial.
% 43.27/43.44 (* end of lemma zenon_L461_ *)
% 43.27/43.44 assert (zenon_L462_ : ((~((op2 (e21) (e20)) = (e21)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> ((~((op2 (e22) (e20)) = (e22)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e23) (e23)) = (e21)) -> ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))))))))))))))))) -> (~((e10) = (e12))) -> (~((e12) = (e13))) -> (~((e11) = (e12))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (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 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((~((op1 (e11) (e10)) = (e11)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e12)) = (e22)) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((h3 (op1 (e12) (e10))) = (op2 (h3 (e12)) (h3 (e10))))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((e21) = (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e22) = (e23))) -> (~((e20) = (e22))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))))))))))))))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((e21) = (e23))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e21) (e21)) = (e21)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (~((e20) = (e23))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> False).
% 43.27/43.44 do 0 intro. intros zenon_H33b zenon_H354 zenon_H256 zenon_H9c zenon_H249 zenon_H345 zenon_H29d zenon_H85 zenon_H33e zenon_H27c zenon_H33c zenon_H253 zenon_H260 zenon_H342 zenon_H24d zenon_H27d zenon_H349 zenon_H33d zenon_H352 zenon_H274 zenon_H337 zenon_Hc4 zenon_H48 zenon_H60 zenon_H42 zenon_H133 zenon_H192 zenon_H16b zenon_H166 zenon_Hbd zenon_Hca zenon_Hf9 zenon_H6e zenon_H5f zenon_He8 zenon_H6a zenon_Hc1 zenon_H105 zenon_H178 zenon_H16e zenon_H174 zenon_H189 zenon_H182 zenon_H66 zenon_H17f zenon_He0 zenon_H57 zenon_H18c zenon_H161 zenon_H126 zenon_H15c zenon_Hb2 zenon_Hac zenon_H152 zenon_H142 zenon_H17b zenon_H11a zenon_H169 zenon_H1db zenon_H1d9 zenon_H1f3 zenon_H1f4 zenon_H1e0 zenon_H1e4 zenon_H1ed zenon_H1ec zenon_H1f5 zenon_H1fc zenon_H1c2 zenon_H1d5 zenon_H73 zenon_H1d3 zenon_H1be zenon_H1d2 zenon_H1b6 zenon_H37f zenon_H1d8 zenon_H1c8 zenon_H1aa zenon_H1b0 zenon_H1ba zenon_Hf6 zenon_H1bf zenon_H1a8 zenon_H1c3 zenon_H47 zenon_H1a4 zenon_H19f zenon_H19e zenon_H29c zenon_H2b zenon_H381 zenon_H36f zenon_H3d4 zenon_H1fe zenon_H15 zenon_H2f1 zenon_H22b zenon_H22a zenon_H26a zenon_H279 zenon_H288 zenon_H304 zenon_H2c7 zenon_H2d7 zenon_H204 zenon_H20a zenon_H2e6 zenon_H2eb zenon_H30b zenon_H30e zenon_H2fe zenon_H93 zenon_H31e zenon_H316 zenon_H311 zenon_H321 zenon_H264 zenon_H276 zenon_H23e zenon_H23a zenon_H234 zenon_H242 zenon_H290 zenon_H2e3 zenon_H2de zenon_H2ee zenon_H2f3 zenon_H32b zenon_H25d zenon_H2f9 zenon_H2f6 zenon_H301 zenon_H324 zenon_H32f zenon_H330 zenon_H80 zenon_H2c zenon_H33 zenon_H26e.
% 43.27/43.44 apply (zenon_or_s _ _ zenon_H33b); [ zenon_intro zenon_H214 | zenon_intro zenon_H338 ].
% 43.27/43.44 apply (zenon_L461_); trivial.
% 43.27/43.44 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ].
% 43.27/43.44 exact (zenon_H15 zenon_H14).
% 43.27/43.44 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ].
% 43.27/43.44 apply (zenon_L251_); trivial.
% 43.27/43.44 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ].
% 43.27/43.44 apply (zenon_L173_); trivial.
% 43.27/43.44 apply (zenon_L252_); trivial.
% 43.27/43.44 (* end of lemma zenon_L462_ *)
% 43.27/43.44 assert (zenon_L463_ : (~((h3 (op1 (e12) (e11))) = (op2 (h3 (e12)) (h3 (e11))))) -> ((op1 (e12) (e11)) = (e12)) -> ((op2 (e22) (e21)) = (e22)) -> ((h3 (e12)) = (e22)) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> False).
% 43.27/43.44 do 0 intro. intros zenon_H3e0 zenon_H114 zenon_H282 zenon_H381 zenon_H36f zenon_H22b.
% 43.27/43.44 cut (((h3 (e12)) = (e22)) = ((h3 (op1 (e12) (e11))) = (op2 (h3 (e12)) (h3 (e11))))).
% 43.27/43.44 intro zenon_D_pnotp.
% 43.27/43.44 apply zenon_H3e0.
% 43.27/43.44 rewrite <- zenon_D_pnotp.
% 43.27/43.44 exact zenon_H381.
% 43.27/43.44 cut (((e22) = (op2 (h3 (e12)) (h3 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H3e1].
% 43.27/43.44 cut (((h3 (e12)) = (h3 (op1 (e12) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H3e2].
% 43.27/43.44 congruence.
% 43.27/43.44 elim (classic ((h3 (op1 (e12) (e11))) = (h3 (op1 (e12) (e11))))); [ zenon_intro zenon_H3e3 | zenon_intro zenon_H3e4 ].
% 43.27/43.44 cut (((h3 (op1 (e12) (e11))) = (h3 (op1 (e12) (e11)))) = ((h3 (e12)) = (h3 (op1 (e12) (e11))))).
% 43.27/43.44 intro zenon_D_pnotp.
% 43.27/43.44 apply zenon_H3e2.
% 43.27/43.44 rewrite <- zenon_D_pnotp.
% 43.27/43.44 exact zenon_H3e3.
% 43.27/43.44 cut (((h3 (op1 (e12) (e11))) = (h3 (op1 (e12) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H3e4].
% 43.27/43.44 cut (((h3 (op1 (e12) (e11))) = (h3 (e12)))); [idtac | apply NNPP; zenon_intro zenon_H3e5].
% 43.27/43.44 congruence.
% 43.27/43.44 cut (((op1 (e12) (e11)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H3e6].
% 43.27/43.44 congruence.
% 43.27/43.44 exact (zenon_H3e6 zenon_H114).
% 43.27/43.44 apply zenon_H3e4. apply refl_equal.
% 43.27/43.44 apply zenon_H3e4. apply refl_equal.
% 43.27/43.44 elim (classic ((op2 (h3 (e12)) (h3 (e11))) = (op2 (h3 (e12)) (h3 (e11))))); [ zenon_intro zenon_H3e7 | zenon_intro zenon_H3e8 ].
% 43.27/43.44 cut (((op2 (h3 (e12)) (h3 (e11))) = (op2 (h3 (e12)) (h3 (e11)))) = ((e22) = (op2 (h3 (e12)) (h3 (e11))))).
% 43.27/43.44 intro zenon_D_pnotp.
% 43.27/43.44 apply zenon_H3e1.
% 43.27/43.44 rewrite <- zenon_D_pnotp.
% 43.27/43.44 exact zenon_H3e7.
% 43.27/43.44 cut (((op2 (h3 (e12)) (h3 (e11))) = (op2 (h3 (e12)) (h3 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H3e8].
% 43.27/43.44 cut (((op2 (h3 (e12)) (h3 (e11))) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H3e9].
% 43.27/43.44 congruence.
% 43.27/43.44 cut (((op2 (e22) (e21)) = (e22)) = ((op2 (h3 (e12)) (h3 (e11))) = (e22))).
% 43.27/43.44 intro zenon_D_pnotp.
% 43.27/43.44 apply zenon_H3e9.
% 43.27/43.44 rewrite <- zenon_D_pnotp.
% 43.27/43.44 exact zenon_H282.
% 43.27/43.44 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H201].
% 43.27/43.44 cut (((op2 (e22) (e21)) = (op2 (h3 (e12)) (h3 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H3ea].
% 43.27/43.44 congruence.
% 43.27/43.44 elim (classic ((op2 (h3 (e12)) (h3 (e11))) = (op2 (h3 (e12)) (h3 (e11))))); [ zenon_intro zenon_H3e7 | zenon_intro zenon_H3e8 ].
% 43.27/43.44 cut (((op2 (h3 (e12)) (h3 (e11))) = (op2 (h3 (e12)) (h3 (e11)))) = ((op2 (e22) (e21)) = (op2 (h3 (e12)) (h3 (e11))))).
% 43.27/43.44 intro zenon_D_pnotp.
% 43.27/43.44 apply zenon_H3ea.
% 43.27/43.44 rewrite <- zenon_D_pnotp.
% 43.27/43.44 exact zenon_H3e7.
% 43.27/43.44 cut (((op2 (h3 (e12)) (h3 (e11))) = (op2 (h3 (e12)) (h3 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H3e8].
% 43.27/43.44 cut (((op2 (h3 (e12)) (h3 (e11))) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H3eb].
% 43.27/43.44 congruence.
% 43.27/43.44 cut (((h3 (e11)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H36e].
% 43.27/43.44 cut (((h3 (e12)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H38e].
% 43.27/43.44 congruence.
% 43.27/43.44 exact (zenon_H38e zenon_H381).
% 43.27/43.44 apply (zenon_L327_); trivial.
% 43.27/43.44 apply zenon_H3e8. apply refl_equal.
% 43.27/43.44 apply zenon_H3e8. apply refl_equal.
% 43.27/43.44 apply zenon_H201. apply refl_equal.
% 43.27/43.44 apply zenon_H3e8. apply refl_equal.
% 43.27/43.44 apply zenon_H3e8. apply refl_equal.
% 43.27/43.44 (* end of lemma zenon_L463_ *)
% 43.27/43.44 assert (zenon_L464_ : (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> ((op1 (e10) (e11)) = (e10)) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((op1 (e12) (e10)) = (e11)) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e12)) = (e22)) -> ((op2 (e22) (e21)) = (e22)) -> (~((h3 (op1 (e12) (e11))) = (op2 (h3 (e12)) (h3 (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((e13) = (op1 (e12) (e12))) -> False).
% 43.27/43.44 do 0 intro. intros zenon_H3ec zenon_H40 zenon_H1b6 zenon_H161 zenon_H160 zenon_H22b zenon_H36f zenon_H381 zenon_H282 zenon_H3e0 zenon_H174 zenon_H48.
% 43.27/43.44 apply (zenon_or_s _ _ zenon_H3ec); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H3ed ].
% 43.27/43.44 apply (zenon_L112_); trivial.
% 43.27/43.44 apply (zenon_or_s _ _ zenon_H3ed); [ zenon_intro zenon_H15f | zenon_intro zenon_H3ee ].
% 43.27/43.44 apply (zenon_L78_); trivial.
% 43.27/43.44 apply (zenon_or_s _ _ zenon_H3ee); [ zenon_intro zenon_H114 | zenon_intro zenon_H175 ].
% 43.27/43.44 apply (zenon_L463_); trivial.
% 43.27/43.44 apply (zenon_L85_); trivial.
% 43.27/43.44 (* end of lemma zenon_L464_ *)
% 43.27/43.44 assert (zenon_L465_ : (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((h3 (op1 (e12) (e11))) = (op2 (h3 (e12)) (h3 (e11))))) -> ((op2 (e22) (e21)) = (e22)) -> ((h3 (e12)) = (e22)) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e10) (e11)) = (e10)) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (e10)) = (e10)) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> ((e13) = (op1 (e12) (e12))) -> False).
% 43.27/43.44 do 0 intro. intros zenon_H16b zenon_H174 zenon_H3e0 zenon_H282 zenon_H381 zenon_H36f zenon_H22b zenon_H1b6 zenon_H40 zenon_H3ec zenon_H1aa zenon_H1b1 zenon_H161 zenon_H1a8 zenon_H50 zenon_H1b0 zenon_Hc1 zenon_Hf9 zenon_H57 zenon_H48.
% 43.27/43.44 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H160 | zenon_intro zenon_H16c ].
% 43.27/43.44 apply (zenon_L464_); trivial.
% 43.27/43.44 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H15f | zenon_intro zenon_H16d ].
% 43.27/43.44 apply (zenon_L438_); trivial.
% 43.27/43.44 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hfa ].
% 43.27/43.44 apply (zenon_L39_); trivial.
% 43.27/43.44 apply (zenon_L54_); trivial.
% 43.27/43.44 (* end of lemma zenon_L465_ *)
% 43.27/43.44 assert (zenon_L466_ : (((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13)))))))) -> (((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e22) (e21)) = (e23))))) -> ((op2 (e20) (e21)) = (e20)) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e21) (e20)) = (e20)) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> ((e13) = (op1 (e12) (e12))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((e11) = (e13))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e12)) = (e22)) -> (~((h3 (op1 (e12) (e11))) = (op2 (h3 (e12)) (h3 (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((e23) = (op2 (e22) (e22))) -> False).
% 43.27/43.44 do 0 intro. intros zenon_Ha7 zenon_H3ef zenon_H7e zenon_H24d zenon_H9c zenon_H346 zenon_H2eb zenon_H249 zenon_H99 zenon_H345 zenon_H48 zenon_H57 zenon_Hf9 zenon_Hc1 zenon_H1b0 zenon_H1a8 zenon_H161 zenon_H1b1 zenon_H1aa zenon_H3ec zenon_H1b6 zenon_H22b zenon_H36f zenon_H381 zenon_H3e0 zenon_H174 zenon_H16b zenon_H316 zenon_H33.
% 43.27/43.44 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H40. zenon_intro zenon_Ha9.
% 43.27/43.44 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_H50. zenon_intro zenon_H28.
% 43.27/43.44 apply (zenon_or_s _ _ zenon_H3ef); [ zenon_intro zenon_H24e | zenon_intro zenon_H3f0 ].
% 43.27/43.44 apply (zenon_L171_); trivial.
% 43.27/43.44 apply (zenon_or_s _ _ zenon_H3f0); [ zenon_intro zenon_H2e9 | zenon_intro zenon_H3f1 ].
% 43.27/43.44 apply (zenon_L278_); trivial.
% 43.27/43.44 apply (zenon_or_s _ _ zenon_H3f1); [ zenon_intro zenon_H282 | zenon_intro zenon_H317 ].
% 43.27/43.44 apply (zenon_L465_); trivial.
% 43.27/43.44 apply (zenon_L236_); trivial.
% 43.27/43.44 (* end of lemma zenon_L466_ *)
% 43.27/43.44 assert (zenon_L467_ : (((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e22) (e21)) = (e23))))) -> ((op2 (e20) (e21)) = (e20)) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e22) (e20)) = (e21)) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e12)) = (e22)) -> ((op1 (e12) (e11)) = (e12)) -> (~((h3 (op1 (e12) (e11))) = (op2 (h3 (e12)) (h3 (e11))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((e23) = (op2 (e22) (e22))) -> False).
% 43.27/43.44 do 0 intro. intros zenon_H3ef zenon_H7e zenon_H24d zenon_H2eb zenon_H2ea zenon_H22b zenon_H36f zenon_H381 zenon_H114 zenon_H3e0 zenon_H316 zenon_H33.
% 43.27/43.44 apply (zenon_or_s _ _ zenon_H3ef); [ zenon_intro zenon_H24e | zenon_intro zenon_H3f0 ].
% 43.27/43.44 apply (zenon_L171_); trivial.
% 43.27/43.44 apply (zenon_or_s _ _ zenon_H3f0); [ zenon_intro zenon_H2e9 | zenon_intro zenon_H3f1 ].
% 43.27/43.44 apply (zenon_L214_); trivial.
% 43.27/43.44 apply (zenon_or_s _ _ zenon_H3f1); [ zenon_intro zenon_H282 | zenon_intro zenon_H317 ].
% 43.27/43.44 apply (zenon_L463_); trivial.
% 43.27/43.44 apply (zenon_L236_); trivial.
% 43.27/43.44 (* end of lemma zenon_L467_ *)
% 43.27/43.44 assert (zenon_L468_ : (((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13)))))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((h3 (op1 (e12) (e11))) = (op2 (h3 (e12)) (h3 (e11))))) -> ((h3 (e12)) = (e22)) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e20) (e21)) = (e20)) -> (((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e22) (e21)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e21) (e20)) = (e20)) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((e21) = (e23))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((e23) = (op2 (e22) (e22))) -> False).
% 43.27/43.44 do 0 intro. intros zenon_H112 zenon_H2f3 zenon_H316 zenon_H3e0 zenon_H381 zenon_H36f zenon_H24d zenon_H7e zenon_H3ef zenon_H9c zenon_H346 zenon_H2eb zenon_H249 zenon_H99 zenon_H345 zenon_H276 zenon_H290 zenon_H22b zenon_H33.
% 43.27/43.44 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H114. zenon_intro zenon_H113.
% 43.27/43.44 apply (zenon_or_s _ _ zenon_H2f3); [ zenon_intro zenon_H2ea | zenon_intro zenon_H2f4 ].
% 43.27/43.44 apply (zenon_L467_); trivial.
% 43.27/43.44 apply (zenon_or_s _ _ zenon_H2f4); [ zenon_intro zenon_H2e9 | zenon_intro zenon_H2f5 ].
% 43.27/43.44 apply (zenon_L278_); trivial.
% 43.27/43.44 apply (zenon_or_s _ _ zenon_H2f5); [ zenon_intro zenon_H2e1 | zenon_intro zenon_H291 ].
% 43.27/43.44 apply (zenon_L209_); trivial.
% 43.27/43.44 apply (zenon_L189_); trivial.
% 43.27/43.44 (* end of lemma zenon_L468_ *)
% 43.27/43.44 assert (zenon_L469_ : ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))))))))))))))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((e21) = (e23))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> ((op2 (e21) (e20)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e20)) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e22) (e21)) = (e23))))) -> ((op2 (e20) (e21)) = (e20)) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e12)) = (e22)) -> (~((h3 (op1 (e12) (e11))) = (op2 (h3 (e12)) (h3 (e11))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((e12) = (e13))) -> (~((op1 (e13) (e10)) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((e11) = (e13))) -> False).
% 43.27/43.45 do 0 intro. intros zenon_H142 zenon_H16b zenon_H174 zenon_H1b6 zenon_H3ec zenon_H1aa zenon_H1b1 zenon_H161 zenon_H1a8 zenon_H1b0 zenon_Hf9 zenon_Hac zenon_Hb2 zenon_Hbd zenon_Hca zenon_H6a zenon_He8 zenon_H6f zenon_H5f zenon_H60 zenon_H6e zenon_H33 zenon_H22b zenon_H290 zenon_H276 zenon_H345 zenon_H99 zenon_H249 zenon_H2eb zenon_H346 zenon_H9c zenon_H3ef zenon_H7e zenon_H24d zenon_H36f zenon_H381 zenon_H3e0 zenon_H316 zenon_H2f3 zenon_H11a zenon_H123 zenon_H105 zenon_H133 zenon_H126 zenon_He0 zenon_H48 zenon_H57 zenon_Hc4 zenon_Hc1.
% 43.27/43.45 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H26 | zenon_intro zenon_H143 ].
% 43.27/43.45 apply (zenon_L8_); trivial.
% 43.27/43.45 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H144 ].
% 43.27/43.45 apply (zenon_L466_); trivial.
% 43.27/43.45 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H145 ].
% 43.27/43.45 apply (zenon_L34_); trivial.
% 43.27/43.45 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H146 ].
% 43.27/43.45 apply (zenon_L36_); trivial.
% 43.27/43.45 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hcd | zenon_intro zenon_H147 ].
% 43.27/43.45 apply (zenon_L42_); trivial.
% 43.27/43.45 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H148 ].
% 43.27/43.45 apply (zenon_L45_); trivial.
% 43.27/43.45 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_Hde | zenon_intro zenon_H149 ].
% 43.27/43.45 apply (zenon_L46_); trivial.
% 43.27/43.45 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_He6 | zenon_intro zenon_H14a ].
% 43.27/43.45 apply (zenon_L48_); trivial.
% 43.27/43.45 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Heb | zenon_intro zenon_H14b ].
% 43.27/43.45 apply (zenon_L51_); trivial.
% 43.27/43.45 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H112 | zenon_intro zenon_H14c ].
% 43.27/43.45 apply (zenon_L468_); trivial.
% 43.27/43.45 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H11d | zenon_intro zenon_H14d ].
% 43.27/43.45 apply (zenon_L61_); trivial.
% 43.27/43.45 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H11f | zenon_intro zenon_H14e ].
% 43.27/43.45 apply (zenon_L62_); trivial.
% 43.27/43.45 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H122 | zenon_intro zenon_H14f ].
% 43.27/43.45 apply (zenon_L63_); trivial.
% 43.27/43.45 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H132 | zenon_intro zenon_H150 ].
% 43.27/43.45 apply (zenon_L66_); trivial.
% 43.27/43.45 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H13b | zenon_intro zenon_H140 ].
% 43.27/43.45 apply (zenon_L67_); trivial.
% 43.27/43.45 apply (zenon_L70_); trivial.
% 43.27/43.45 (* end of lemma zenon_L469_ *)
% 43.27/43.45 assert (zenon_L470_ : (((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23)))))))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((e21) = (e23))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e20)) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e22) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e12)) = (e22)) -> (~((h3 (op1 (e12) (e11))) = (op2 (h3 (e12)) (h3 (e11))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (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)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e12) = (e13))) -> (~((e10) = (e12))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))))))))))))))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> False).
% 43.27/43.45 do 0 intro. intros zenon_H1fd zenon_H1fe zenon_H1d8 zenon_H1c8 zenon_H1aa zenon_H1b0 zenon_H1ba zenon_Hf6 zenon_H1bf zenon_H1a8 zenon_H1c3 zenon_H47 zenon_H1a4 zenon_H19f zenon_H19e zenon_H3ec zenon_H33 zenon_H22b zenon_H290 zenon_H276 zenon_H345 zenon_H249 zenon_H2eb zenon_H346 zenon_H9c zenon_H3ef zenon_H24d zenon_H36f zenon_H381 zenon_H3e0 zenon_H316 zenon_H2f3 zenon_H1b6 zenon_H1d2 zenon_H1be zenon_H1d3 zenon_H73 zenon_H1d5 zenon_H1c2 zenon_H1fc zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H1e4 zenon_H1e0 zenon_H1f4 zenon_H1f3 zenon_H1d9 zenon_H1db zenon_H169 zenon_H11a zenon_H17b zenon_H142 zenon_H152 zenon_Hac zenon_Hb2 zenon_H15c zenon_H126 zenon_H161 zenon_H18c zenon_H57 zenon_He0 zenon_H17f zenon_H66 zenon_H182 zenon_H189 zenon_H174 zenon_H16e zenon_H178 zenon_H105 zenon_Hc1 zenon_H6a zenon_He8 zenon_H5f zenon_H6e zenon_Hf9 zenon_Hca zenon_Hbd zenon_H166 zenon_H16b zenon_H192 zenon_H133 zenon_H42 zenon_H60 zenon_H48 zenon_Hc4.
% 43.27/43.45 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_H7e. zenon_intro zenon_H200.
% 43.27/43.45 apply (zenon_and_s _ _ zenon_H200). zenon_intro zenon_H99. zenon_intro zenon_H1c.
% 43.27/43.45 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H21 | zenon_intro zenon_H1a5 ].
% 43.27/43.45 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H6f | zenon_intro zenon_H193 ].
% 43.27/43.45 apply (zenon_or_s _ _ zenon_H1d8); [ zenon_intro zenon_H1b1 | zenon_intro zenon_H1a5 ].
% 43.27/43.45 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H123 | zenon_intro zenon_H1a5 ].
% 43.27/43.45 apply (zenon_L469_); trivial.
% 43.27/43.45 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H20 | zenon_intro zenon_H1a6 ].
% 43.27/43.45 exact (zenon_H21 zenon_H20).
% 43.27/43.45 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H151 | zenon_intro zenon_H1a7 ].
% 43.27/43.45 apply (zenon_L100_); trivial.
% 43.27/43.45 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H196 | zenon_intro zenon_H198 ].
% 43.27/43.45 apply (zenon_L101_); trivial.
% 43.27/43.45 apply (zenon_L102_); trivial.
% 43.27/43.45 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H20 | zenon_intro zenon_H1a6 ].
% 43.27/43.45 exact (zenon_H21 zenon_H20).
% 43.27/43.45 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H151 | zenon_intro zenon_H1a7 ].
% 43.27/43.45 apply (zenon_L100_); trivial.
% 43.27/43.45 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H196 | zenon_intro zenon_H198 ].
% 43.27/43.45 apply (zenon_L101_); trivial.
% 43.27/43.45 apply (zenon_L102_); trivial.
% 43.27/43.45 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H17c | zenon_intro zenon_H194 ].
% 43.27/43.45 apply (zenon_L104_); trivial.
% 43.27/43.45 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H18f | zenon_intro zenon_H195 ].
% 43.27/43.45 apply (zenon_L132_); trivial.
% 43.27/43.45 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H119 | zenon_intro zenon_H185 ].
% 43.27/43.45 apply (zenon_L60_); trivial.
% 43.27/43.45 apply (zenon_L133_); trivial.
% 43.27/43.45 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H20 | zenon_intro zenon_H1a6 ].
% 43.27/43.45 apply (zenon_L149_); trivial.
% 43.27/43.45 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H151 | zenon_intro zenon_H1a7 ].
% 43.27/43.45 apply (zenon_L100_); trivial.
% 43.27/43.45 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H196 | zenon_intro zenon_H198 ].
% 43.27/43.45 apply (zenon_L101_); trivial.
% 43.27/43.45 apply (zenon_L102_); trivial.
% 43.27/43.45 (* end of lemma zenon_L470_ *)
% 43.27/43.45 assert (zenon_L471_ : ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))))))))))))))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e12)) = (e22)) -> ((op2 (e22) (e21)) = (e22)) -> (~((h3 (op1 (e12) (e11))) = (op2 (h3 (e12)) (h3 (e11))))) -> (~((e12) = (e13))) -> (~((op1 (e13) (e10)) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((e11) = (e13))) -> False).
% 43.27/43.45 do 0 intro. intros zenon_H142 zenon_Hf9 zenon_H1b0 zenon_H1a8 zenon_H161 zenon_H1b1 zenon_H1aa zenon_H3ec zenon_H1b6 zenon_H174 zenon_H16b zenon_Hac zenon_Hb2 zenon_Hbd zenon_Hca zenon_H6a zenon_He8 zenon_H6f zenon_H5f zenon_H60 zenon_H6e zenon_H22b zenon_H36f zenon_H381 zenon_H282 zenon_H3e0 zenon_H11a zenon_H123 zenon_H105 zenon_H133 zenon_H126 zenon_He0 zenon_H48 zenon_H57 zenon_Hc4 zenon_Hc1.
% 43.27/43.45 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H26 | zenon_intro zenon_H143 ].
% 43.27/43.45 apply (zenon_L8_); trivial.
% 43.27/43.45 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H144 ].
% 43.27/43.45 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H40. zenon_intro zenon_Ha9.
% 43.27/43.45 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_H50. zenon_intro zenon_H28.
% 43.27/43.45 apply (zenon_L465_); trivial.
% 43.27/43.45 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H145 ].
% 43.27/43.45 apply (zenon_L34_); trivial.
% 43.27/43.45 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H146 ].
% 43.27/43.45 apply (zenon_L36_); trivial.
% 43.27/43.45 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hcd | zenon_intro zenon_H147 ].
% 43.27/43.45 apply (zenon_L42_); trivial.
% 43.27/43.45 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H148 ].
% 43.27/43.45 apply (zenon_L45_); trivial.
% 43.27/43.45 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_Hde | zenon_intro zenon_H149 ].
% 43.27/43.45 apply (zenon_L46_); trivial.
% 43.27/43.45 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_He6 | zenon_intro zenon_H14a ].
% 43.27/43.45 apply (zenon_L48_); trivial.
% 43.27/43.45 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Heb | zenon_intro zenon_H14b ].
% 43.27/43.45 apply (zenon_L51_); trivial.
% 43.27/43.45 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H112 | zenon_intro zenon_H14c ].
% 43.27/43.45 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H114. zenon_intro zenon_H113.
% 43.27/43.45 apply (zenon_L463_); trivial.
% 43.27/43.45 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H11d | zenon_intro zenon_H14d ].
% 43.27/43.45 apply (zenon_L61_); trivial.
% 43.27/43.45 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H11f | zenon_intro zenon_H14e ].
% 43.27/43.45 apply (zenon_L62_); trivial.
% 43.27/43.45 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H122 | zenon_intro zenon_H14f ].
% 43.27/43.45 apply (zenon_L63_); trivial.
% 43.27/43.45 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H132 | zenon_intro zenon_H150 ].
% 43.27/43.45 apply (zenon_L66_); trivial.
% 43.27/43.45 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H13b | zenon_intro zenon_H140 ].
% 43.27/43.45 apply (zenon_L67_); trivial.
% 43.27/43.45 apply (zenon_L70_); trivial.
% 43.27/43.45 (* end of lemma zenon_L471_ *)
% 43.27/43.45 assert (zenon_L472_ : (((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23)))))))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e12)) = (e22)) -> (~((h3 (op1 (e12) (e11))) = (op2 (h3 (e12)) (h3 (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (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)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e12) = (e13))) -> (~((e10) = (e12))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))))))))))))))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> False).
% 43.27/43.45 do 0 intro. intros zenon_H2a5 zenon_H1fe zenon_H1d8 zenon_H1c8 zenon_H1aa zenon_H1b0 zenon_H1ba zenon_Hf6 zenon_H1bf zenon_H1a8 zenon_H1c3 zenon_H47 zenon_H1a4 zenon_H19f zenon_H19e zenon_H3ec zenon_H22b zenon_H36f zenon_H381 zenon_H3e0 zenon_H1b6 zenon_H1d2 zenon_H1be zenon_H1d3 zenon_H73 zenon_H1d5 zenon_H1c2 zenon_H1fc zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H1e4 zenon_H1e0 zenon_H1f4 zenon_H1f3 zenon_H1d9 zenon_H1db zenon_H169 zenon_H11a zenon_H17b zenon_H142 zenon_H152 zenon_Hac zenon_Hb2 zenon_H15c zenon_H126 zenon_H161 zenon_H18c zenon_H57 zenon_He0 zenon_H17f zenon_H66 zenon_H182 zenon_H189 zenon_H174 zenon_H16e zenon_H178 zenon_H105 zenon_Hc1 zenon_H6a zenon_He8 zenon_H5f zenon_H6e zenon_Hf9 zenon_Hca zenon_Hbd zenon_H166 zenon_H16b zenon_H192 zenon_H133 zenon_H42 zenon_H60 zenon_H48 zenon_Hc4.
% 43.27/43.45 apply (zenon_and_s _ _ zenon_H2a5). zenon_intro zenon_H282. zenon_intro zenon_H2a6.
% 43.27/43.45 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H21 | zenon_intro zenon_H1a5 ].
% 43.27/43.45 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H6f | zenon_intro zenon_H193 ].
% 43.27/43.45 apply (zenon_or_s _ _ zenon_H1d8); [ zenon_intro zenon_H1b1 | zenon_intro zenon_H1a5 ].
% 43.27/43.45 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H123 | zenon_intro zenon_H1a5 ].
% 43.27/43.45 apply (zenon_L471_); trivial.
% 43.27/43.45 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H20 | zenon_intro zenon_H1a6 ].
% 43.27/43.45 exact (zenon_H21 zenon_H20).
% 43.27/43.45 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H151 | zenon_intro zenon_H1a7 ].
% 43.27/43.45 apply (zenon_L100_); trivial.
% 43.27/43.45 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H196 | zenon_intro zenon_H198 ].
% 43.27/43.45 apply (zenon_L101_); trivial.
% 43.27/43.45 apply (zenon_L102_); trivial.
% 43.27/43.45 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H20 | zenon_intro zenon_H1a6 ].
% 43.27/43.45 exact (zenon_H21 zenon_H20).
% 43.27/43.45 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H151 | zenon_intro zenon_H1a7 ].
% 43.27/43.45 apply (zenon_L100_); trivial.
% 43.27/43.45 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H196 | zenon_intro zenon_H198 ].
% 43.27/43.45 apply (zenon_L101_); trivial.
% 43.27/43.45 apply (zenon_L102_); trivial.
% 43.27/43.45 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H17c | zenon_intro zenon_H194 ].
% 43.27/43.45 apply (zenon_L104_); trivial.
% 43.27/43.45 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H18f | zenon_intro zenon_H195 ].
% 43.27/43.45 apply (zenon_L132_); trivial.
% 43.27/43.45 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H119 | zenon_intro zenon_H185 ].
% 43.27/43.45 apply (zenon_L60_); trivial.
% 43.27/43.45 apply (zenon_L133_); trivial.
% 43.27/43.45 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H20 | zenon_intro zenon_H1a6 ].
% 43.27/43.45 apply (zenon_L149_); trivial.
% 43.27/43.45 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H151 | zenon_intro zenon_H1a7 ].
% 43.27/43.45 apply (zenon_L100_); trivial.
% 43.27/43.45 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H196 | zenon_intro zenon_H198 ].
% 43.27/43.45 apply (zenon_L101_); trivial.
% 43.27/43.45 apply (zenon_L102_); trivial.
% 43.27/43.45 (* end of lemma zenon_L472_ *)
% 43.27/43.45 assert (zenon_L473_ : ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))))))))))))))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e22) (e21)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (e21))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))))))))))))))))) -> (~((e10) = (e12))) -> (~((e12) = (e13))) -> (~((e11) = (e12))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (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 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((h3 (op1 (e12) (e11))) = (op2 (h3 (e12)) (h3 (e11))))) -> ((h3 (e12)) = (e22)) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (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) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((e22) = (e23))) -> (~((op2 (e23) (e20)) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((e21) = (e23))) -> False).
% 43.27/43.45 do 0 intro. intros zenon_H2c7 zenon_H2f3 zenon_H316 zenon_H24d zenon_H3ef zenon_H9c zenon_H346 zenon_H2eb zenon_H249 zenon_H345 zenon_H290 zenon_H204 zenon_H20a zenon_H2de zenon_H2e3 zenon_H23e zenon_H23a zenon_H226 zenon_H234 zenon_H2c zenon_H242 zenon_Hc4 zenon_H48 zenon_H60 zenon_H42 zenon_H133 zenon_H192 zenon_H16b zenon_H166 zenon_Hbd zenon_Hca zenon_Hf9 zenon_H6e zenon_H5f zenon_He8 zenon_H6a zenon_Hc1 zenon_H105 zenon_H178 zenon_H16e zenon_H174 zenon_H189 zenon_H182 zenon_H66 zenon_H17f zenon_He0 zenon_H57 zenon_H18c zenon_H161 zenon_H126 zenon_H15c zenon_Hb2 zenon_Hac zenon_H152 zenon_H142 zenon_H17b zenon_H11a zenon_H169 zenon_H1db zenon_H1d9 zenon_H1f3 zenon_H1f4 zenon_H1e0 zenon_H1e4 zenon_H1ed zenon_H1ec zenon_H1f5 zenon_H1fc zenon_H1c2 zenon_H1d5 zenon_H73 zenon_H1d3 zenon_H1be zenon_H1d2 zenon_H1b6 zenon_H3e0 zenon_H381 zenon_H36f zenon_H3ec zenon_H19e zenon_H19f zenon_H1a4 zenon_H47 zenon_H1c3 zenon_H1a8 zenon_H1bf zenon_Hf6 zenon_H1ba zenon_H1b0 zenon_H1aa zenon_H1c8 zenon_H1d8 zenon_H1fe zenon_H288 zenon_Ha3 zenon_H264 zenon_H279 zenon_H26a zenon_H22a zenon_H33 zenon_H22b zenon_H26e zenon_H276.
% 43.27/43.45 apply (zenon_or_s _ _ zenon_H2c7); [ zenon_intro zenon_H1a | zenon_intro zenon_H2c8 ].
% 43.27/43.45 apply (zenon_L4_); trivial.
% 43.27/43.45 apply (zenon_or_s _ _ zenon_H2c8); [ zenon_intro zenon_H1fd | zenon_intro zenon_H2c9 ].
% 43.27/43.45 apply (zenon_L470_); trivial.
% 43.27/43.45 apply (zenon_or_s _ _ zenon_H2c9); [ zenon_intro zenon_H208 | zenon_intro zenon_H2ca ].
% 43.27/43.45 apply (zenon_L154_); trivial.
% 43.27/43.45 apply (zenon_or_s _ _ zenon_H2ca); [ zenon_intro zenon_H210 | zenon_intro zenon_H2cb ].
% 43.27/43.45 apply (zenon_L156_); trivial.
% 43.27/43.45 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H213 | zenon_intro zenon_H2cc ].
% 43.27/43.45 apply (zenon_L211_); trivial.
% 43.27/43.45 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H21b | zenon_intro zenon_H2cd ].
% 43.27/43.45 apply (zenon_L160_); trivial.
% 43.27/43.45 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H225 | zenon_intro zenon_H2ce ].
% 43.27/43.45 apply (zenon_L161_); trivial.
% 43.27/43.45 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H231 | zenon_intro zenon_H2cf ].
% 43.27/43.45 apply (zenon_L164_); trivial.
% 43.27/43.45 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_H245 | zenon_intro zenon_H2d0 ].
% 43.27/43.45 apply (zenon_L169_); trivial.
% 43.27/43.45 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H2a5 | zenon_intro zenon_H2d1 ].
% 43.27/43.45 apply (zenon_L472_); trivial.
% 43.27/43.45 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H2ae | zenon_intro zenon_H2d2 ].
% 43.27/43.45 apply (zenon_L198_); trivial.
% 43.27/43.45 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H2b0 | zenon_intro zenon_H2d3 ].
% 43.27/43.45 apply (zenon_L199_); trivial.
% 43.27/43.45 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H2b3 | zenon_intro zenon_H2d4 ].
% 43.27/43.45 apply (zenon_L200_); trivial.
% 43.27/43.45 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_H2bc | zenon_intro zenon_H2d5 ].
% 43.27/43.45 apply (zenon_L202_); trivial.
% 43.27/43.45 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2c5 ].
% 43.27/43.45 apply (zenon_L203_); trivial.
% 43.27/43.45 apply (zenon_L204_); trivial.
% 43.27/43.45 (* end of lemma zenon_L473_ *)
% 43.27/43.45 assert (zenon_L474_ : ((~((op2 (e22) (e20)) = (e22)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> ((~((op2 (e21) (e21)) = (e21)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e22) (e21)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))))))))))))))))) -> (~((e10) = (e12))) -> (~((e12) = (e13))) -> (~((e11) = (e12))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (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 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((h3 (op1 (e12) (e11))) = (op2 (h3 (e12)) (h3 (e11))))) -> ((h3 (e12)) = (e22)) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (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) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((e21) = (e23))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (e21))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((e22) = (e23))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((e21) = (e22))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))))))))))))))))) -> (~((e20) = (e23))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> False).
% 43.27/43.45 do 0 intro. intros zenon_H354 zenon_H330 zenon_H32f zenon_H324 zenon_H32b zenon_H321 zenon_H311 zenon_H316 zenon_H31e zenon_H93 zenon_H30e zenon_H30b zenon_H304 zenon_H24d zenon_H3ef zenon_H9c zenon_H249 zenon_H345 zenon_Hc4 zenon_H48 zenon_H60 zenon_H42 zenon_H133 zenon_H192 zenon_H16b zenon_H166 zenon_Hbd zenon_Hca zenon_Hf9 zenon_H6e zenon_H5f zenon_He8 zenon_H6a zenon_Hc1 zenon_H105 zenon_H178 zenon_H16e zenon_H174 zenon_H189 zenon_H182 zenon_H66 zenon_H17f zenon_He0 zenon_H57 zenon_H18c zenon_H161 zenon_H126 zenon_H15c zenon_Hb2 zenon_Hac zenon_H152 zenon_H142 zenon_H17b zenon_H11a zenon_H169 zenon_H1db zenon_H1d9 zenon_H1f3 zenon_H1f4 zenon_H1e0 zenon_H1e4 zenon_H1ed zenon_H1ec zenon_H1f5 zenon_H1fc zenon_H1c2 zenon_H1d5 zenon_H73 zenon_H1d3 zenon_H1be zenon_H1d2 zenon_H1b6 zenon_H3e0 zenon_H381 zenon_H36f zenon_H3ec zenon_H19e zenon_H19f zenon_H1a4 zenon_H47 zenon_H1c3 zenon_H1a8 zenon_H1bf zenon_Hf6 zenon_H1ba zenon_H1b0 zenon_H1aa zenon_H1c8 zenon_H1d8 zenon_H1fe zenon_H337 zenon_H15 zenon_H276 zenon_H22b zenon_H22a zenon_H26a zenon_H279 zenon_H264 zenon_H242 zenon_H234 zenon_H226 zenon_H25d zenon_H2fe zenon_H2f9 zenon_H2f6 zenon_H301 zenon_H23e zenon_H288 zenon_H2f3 zenon_H2ee zenon_H2de zenon_H2e6 zenon_H2eb zenon_H2e3 zenon_H2f1 zenon_H290 zenon_H23a zenon_H20a zenon_H204 zenon_H2d7 zenon_H2c7 zenon_H80 zenon_H2c zenon_H33 zenon_H26e.
% 43.27/43.45 apply (zenon_or_s _ _ zenon_H354); [ zenon_intro zenon_H346 | zenon_intro zenon_H338 ].
% 43.27/43.45 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H338 ].
% 43.27/43.45 apply (zenon_L473_); trivial.
% 43.27/43.45 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ].
% 43.27/43.45 exact (zenon_H15 zenon_H14).
% 43.27/43.45 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ].
% 43.27/43.45 apply (zenon_L251_); trivial.
% 43.27/43.45 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ].
% 43.27/43.45 apply (zenon_L173_); trivial.
% 43.27/43.45 apply (zenon_L252_); trivial.
% 43.27/43.45 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ].
% 43.27/43.45 exact (zenon_H15 zenon_H14).
% 43.27/43.45 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ].
% 43.27/43.45 apply (zenon_L225_); trivial.
% 43.27/43.45 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ].
% 43.27/43.45 apply (zenon_L173_); trivial.
% 43.27/43.45 apply (zenon_L252_); trivial.
% 43.27/43.45 (* end of lemma zenon_L474_ *)
% 43.27/43.45 assert (zenon_L475_ : ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e12)) = (e22)) -> (~((h3 (op1 (e12) (e11))) = (op2 (h3 (e12)) (h3 (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (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)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e12) = (e13))) -> (~((e10) = (e12))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))))))))))))))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op2 (e21) (e20)) = (e21))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e20)) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e22) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((e21) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((e22) = (e23))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((op2 (e20) (e20)) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((e20) = (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))))))))))))))))) -> ((~((op2 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> ((~((op2 (e21) (e21)) = (e21)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (~((e20) = (e23))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> False).
% 43.27/43.45 do 0 intro. intros zenon_H337 zenon_H1fe zenon_H1d8 zenon_H1c8 zenon_H1aa zenon_H1b0 zenon_H1ba zenon_Hf6 zenon_H1bf zenon_H1a8 zenon_H1c3 zenon_H47 zenon_H1a4 zenon_H19f zenon_H19e zenon_H3ec zenon_H36f zenon_H381 zenon_H3e0 zenon_H1b6 zenon_H1d2 zenon_H1be zenon_H1d3 zenon_H73 zenon_H1d5 zenon_H1c2 zenon_H1fc zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H1e4 zenon_H1e0 zenon_H1f4 zenon_H1f3 zenon_H1d9 zenon_H1db zenon_H169 zenon_H11a zenon_H17b zenon_H142 zenon_H152 zenon_Hac zenon_Hb2 zenon_H15c zenon_H126 zenon_H161 zenon_H18c zenon_H57 zenon_He0 zenon_H17f zenon_H66 zenon_H182 zenon_H189 zenon_H174 zenon_H16e zenon_H178 zenon_H105 zenon_Hc1 zenon_H6a zenon_He8 zenon_H5f zenon_H6e zenon_Hf9 zenon_Hca zenon_Hbd zenon_H166 zenon_H16b zenon_H192 zenon_H133 zenon_H42 zenon_H60 zenon_H48 zenon_Hc4 zenon_H214 zenon_H345 zenon_H249 zenon_H346 zenon_H9c zenon_H3ef zenon_H24d zenon_H15 zenon_H276 zenon_H264 zenon_H321 zenon_H311 zenon_H316 zenon_H288 zenon_H31e zenon_H25a zenon_H93 zenon_H2fe zenon_H2f1 zenon_H30e zenon_H22a zenon_H22b zenon_H30b zenon_H2eb zenon_H26a zenon_H2e6 zenon_H20a zenon_H204 zenon_H2d7 zenon_H2c7 zenon_H32f zenon_H324 zenon_H301 zenon_H2f6 zenon_H2f9 zenon_H25d zenon_H32b zenon_H2f3 zenon_H2ee zenon_H2de zenon_H2e3 zenon_H290 zenon_H242 zenon_H234 zenon_H23a zenon_H23e zenon_H304 zenon_H279 zenon_H330 zenon_H80 zenon_H2c zenon_H33 zenon_H26e.
% 43.27/43.45 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H338 ].
% 43.27/43.45 apply (zenon_or_s _ _ zenon_H2c7); [ zenon_intro zenon_H1a | zenon_intro zenon_H2c8 ].
% 43.27/43.45 apply (zenon_L227_); trivial.
% 43.27/43.45 apply (zenon_or_s _ _ zenon_H2c8); [ zenon_intro zenon_H1fd | zenon_intro zenon_H2c9 ].
% 43.27/43.45 apply (zenon_L470_); trivial.
% 43.27/43.45 apply (zenon_or_s _ _ zenon_H2c9); [ zenon_intro zenon_H208 | zenon_intro zenon_H2ca ].
% 43.27/43.45 apply (zenon_L154_); trivial.
% 43.27/43.45 apply (zenon_or_s _ _ zenon_H2ca); [ zenon_intro zenon_H210 | zenon_intro zenon_H2cb ].
% 43.27/43.45 apply (zenon_L156_); trivial.
% 43.27/43.45 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H213 | zenon_intro zenon_H2cc ].
% 43.27/43.45 apply (zenon_L157_); trivial.
% 43.27/43.45 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H21b | zenon_intro zenon_H2cd ].
% 43.27/43.45 apply (zenon_L160_); trivial.
% 43.27/43.45 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H225 | zenon_intro zenon_H2ce ].
% 43.27/43.45 apply (zenon_L255_); trivial.
% 43.27/43.45 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H231 | zenon_intro zenon_H2cf ].
% 43.27/43.45 apply (zenon_L164_); trivial.
% 43.27/43.45 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_H245 | zenon_intro zenon_H2d0 ].
% 43.27/43.45 apply (zenon_L232_); trivial.
% 43.27/43.45 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H2a5 | zenon_intro zenon_H2d1 ].
% 43.27/43.45 apply (zenon_L472_); trivial.
% 43.27/43.45 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H2ae | zenon_intro zenon_H2d2 ].
% 43.27/43.45 apply (zenon_L198_); trivial.
% 43.27/43.45 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H2b0 | zenon_intro zenon_H2d3 ].
% 43.27/43.45 apply (zenon_L199_); trivial.
% 43.27/43.45 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H2b3 | zenon_intro zenon_H2d4 ].
% 43.27/43.45 apply (zenon_L200_); trivial.
% 43.27/43.45 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_H2bc | zenon_intro zenon_H2d5 ].
% 43.27/43.45 apply (zenon_L202_); trivial.
% 43.27/43.45 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2c5 ].
% 43.27/43.45 apply (zenon_L203_); trivial.
% 43.27/43.45 apply (zenon_L204_); trivial.
% 43.27/43.45 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ].
% 43.27/43.45 exact (zenon_H15 zenon_H14).
% 43.27/43.45 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ].
% 43.27/43.45 apply (zenon_L258_); trivial.
% 43.27/43.45 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ].
% 43.27/43.45 apply (zenon_L173_); trivial.
% 43.27/43.45 apply (zenon_L252_); trivial.
% 43.27/43.45 (* end of lemma zenon_L475_ *)
% 43.27/43.45 assert (zenon_L476_ : ((~((op2 (e22) (e20)) = (e22)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> ((~((op2 (e21) (e21)) = (e21)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e22) (e21)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e21) (e20)) = (e21))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))))))))))))))))) -> (~((e10) = (e12))) -> (~((e12) = (e13))) -> (~((e11) = (e12))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (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 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((h3 (op1 (e12) (e11))) = (op2 (h3 (e12)) (h3 (e11))))) -> ((h3 (e12)) = (e22)) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (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) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((e21) = (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e22) = (e23))) -> (~((e20) = (e22))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))))))))))))))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((e21) = (e23))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((op2 (e20) (e20)) = (e22)) -> ((~((op2 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (~((e20) = (e23))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> False).
% 43.27/43.45 do 0 intro. intros zenon_H354 zenon_H330 zenon_H24d zenon_H3ef zenon_H9c zenon_H249 zenon_H345 zenon_H214 zenon_Hc4 zenon_H48 zenon_H60 zenon_H42 zenon_H133 zenon_H192 zenon_H16b zenon_H166 zenon_Hbd zenon_Hca zenon_Hf9 zenon_H6e zenon_H5f zenon_He8 zenon_H6a zenon_Hc1 zenon_H105 zenon_H178 zenon_H16e zenon_H174 zenon_H189 zenon_H182 zenon_H66 zenon_H17f zenon_He0 zenon_H57 zenon_H18c zenon_H161 zenon_H126 zenon_H15c zenon_Hb2 zenon_Hac zenon_H152 zenon_H142 zenon_H17b zenon_H11a zenon_H169 zenon_H1db zenon_H1d9 zenon_H1f3 zenon_H1f4 zenon_H1e0 zenon_H1e4 zenon_H1ed zenon_H1ec zenon_H1f5 zenon_H1fc zenon_H1c2 zenon_H1d5 zenon_H73 zenon_H1d3 zenon_H1be zenon_H1d2 zenon_H1b6 zenon_H3e0 zenon_H381 zenon_H36f zenon_H3ec zenon_H19e zenon_H19f zenon_H1a4 zenon_H47 zenon_H1c3 zenon_H1a8 zenon_H1bf zenon_Hf6 zenon_H1ba zenon_H1b0 zenon_H1aa zenon_H1c8 zenon_H1d8 zenon_H1fe zenon_H337 zenon_H15 zenon_H2f1 zenon_H22b zenon_H22a zenon_H26a zenon_H279 zenon_H288 zenon_H304 zenon_H2c7 zenon_H2d7 zenon_H204 zenon_H20a zenon_H2e6 zenon_H2eb zenon_H30b zenon_H30e zenon_H2fe zenon_H93 zenon_H31e zenon_H316 zenon_H311 zenon_H321 zenon_H264 zenon_H276 zenon_H23e zenon_H23a zenon_H234 zenon_H242 zenon_H290 zenon_H2e3 zenon_H2de zenon_H2ee zenon_H2f3 zenon_H32b zenon_H21a zenon_H25d zenon_H2f9 zenon_H2f6 zenon_H301 zenon_H324 zenon_H25a zenon_H32f zenon_H80 zenon_H2c zenon_H33 zenon_H26e.
% 43.27/43.45 apply (zenon_or_s _ _ zenon_H354); [ zenon_intro zenon_H346 | zenon_intro zenon_H338 ].
% 43.27/43.45 apply (zenon_L475_); trivial.
% 43.27/43.45 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ].
% 43.27/43.45 exact (zenon_H15 zenon_H14).
% 43.27/43.45 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ].
% 43.27/43.45 apply (zenon_L249_); trivial.
% 43.27/43.45 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ].
% 43.27/43.45 apply (zenon_L173_); trivial.
% 43.27/43.45 apply (zenon_L252_); trivial.
% 43.27/43.45 (* end of lemma zenon_L476_ *)
% 43.27/43.45 assert (zenon_L477_ : ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e12)) = (e22)) -> (~((h3 (op1 (e12) (e11))) = (op2 (h3 (e12)) (h3 (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (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)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e12) = (e13))) -> (~((e10) = (e12))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))))))))))))))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e22) (e21)) = (e23))))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (~((e20) = (e23))) -> ((~((op2 (e21) (e21)) = (e21)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((e21) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((e20) = (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))))))))))))))))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e20)) = (e20))) -> ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (e21))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e20)) = (e21)) -> ((~((op2 (e22) (e20)) = (e22)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((e22) = (e23))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((e21) = (e22))) -> False).
% 43.27/43.46 do 0 intro. intros zenon_H1fe zenon_H1d8 zenon_H1c8 zenon_H1aa zenon_H1b0 zenon_H1ba zenon_Hf6 zenon_H1bf zenon_H1a8 zenon_H1c3 zenon_H47 zenon_H1a4 zenon_H19f zenon_H19e zenon_H3ec zenon_H36f zenon_H381 zenon_H3e0 zenon_H1b6 zenon_H1d2 zenon_H1be zenon_H1d3 zenon_H73 zenon_H1d5 zenon_H1c2 zenon_H1fc zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H1e4 zenon_H1e0 zenon_H1f4 zenon_H1f3 zenon_H1d9 zenon_H1db zenon_H169 zenon_H11a zenon_H17b zenon_H142 zenon_H152 zenon_Hac zenon_Hb2 zenon_H15c zenon_H126 zenon_H161 zenon_H18c zenon_H57 zenon_He0 zenon_H17f zenon_H66 zenon_H182 zenon_H189 zenon_H174 zenon_H16e zenon_H178 zenon_H105 zenon_Hc1 zenon_H6a zenon_He8 zenon_H5f zenon_H6e zenon_Hf9 zenon_Hca zenon_Hbd zenon_H166 zenon_H16b zenon_H192 zenon_H133 zenon_H42 zenon_H60 zenon_H48 zenon_Hc4 zenon_H3ef zenon_H2c zenon_H80 zenon_H330 zenon_H32f zenon_H324 zenon_H301 zenon_H2f6 zenon_H2f9 zenon_H25d zenon_H32b zenon_H2f3 zenon_H2ee zenon_H2de zenon_H2e3 zenon_H290 zenon_H242 zenon_H234 zenon_H23a zenon_H23e zenon_H276 zenon_H264 zenon_H321 zenon_H311 zenon_H316 zenon_H31e zenon_H93 zenon_H2fe zenon_H30e zenon_H30b zenon_H2eb zenon_H2e6 zenon_H20a zenon_H204 zenon_H2d7 zenon_H2c7 zenon_H304 zenon_H15 zenon_H337 zenon_H352 zenon_H33d zenon_H24d zenon_H349 zenon_H27d zenon_H342 zenon_H260 zenon_H253 zenon_H33c zenon_H27c zenon_H33e zenon_H85 zenon_H214 zenon_H29d zenon_H345 zenon_H249 zenon_H9c zenon_H256 zenon_H309 zenon_H354 zenon_H288 zenon_H279 zenon_H26a zenon_H22a zenon_H33 zenon_H22b zenon_H26e zenon_H2f1.
% 43.27/43.46 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H226 | zenon_intro zenon_H32c ].
% 43.27/43.46 apply (zenon_L474_); trivial.
% 43.27/43.46 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H25a | zenon_intro zenon_H32d ].
% 43.27/43.46 apply (zenon_L230_); trivial.
% 43.27/43.46 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H328 | zenon_intro zenon_H32e ].
% 43.27/43.46 apply (zenon_L296_); trivial.
% 43.27/43.46 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H2ab | zenon_intro zenon_H31a ].
% 43.27/43.46 apply (zenon_L197_); trivial.
% 43.27/43.46 apply (zenon_L245_); trivial.
% 43.27/43.46 (* end of lemma zenon_L477_ *)
% 43.27/43.46 assert (zenon_L478_ : ((~((op2 (e21) (e20)) = (e21)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> ((~((op2 (e22) (e20)) = (e22)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e21) (e21)) = (e21)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e22) (e21)) = (e23))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))))))))))))))))) -> (~((e10) = (e12))) -> (~((e12) = (e13))) -> (~((e11) = (e12))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (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 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((h3 (op1 (e12) (e11))) = (op2 (h3 (e12)) (h3 (e11))))) -> ((h3 (e12)) = (e22)) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (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) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((e21) = (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e22) = (e23))) -> (~((e20) = (e22))) -> ((op2 (e20) (e20)) = (e21)) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))))))))))))))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((e21) = (e23))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (~((e20) = (e23))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> False).
% 43.27/43.46 do 0 intro. intros zenon_H33b zenon_H354 zenon_H256 zenon_H9c zenon_H249 zenon_H345 zenon_H29d zenon_H85 zenon_H33e zenon_H27c zenon_H33c zenon_H253 zenon_H260 zenon_H342 zenon_H27d zenon_H349 zenon_H24d zenon_H33d zenon_H352 zenon_H337 zenon_H30b zenon_H30e zenon_H93 zenon_H31e zenon_H316 zenon_H311 zenon_H321 zenon_H324 zenon_H32f zenon_H330 zenon_H3ef zenon_Hc4 zenon_H48 zenon_H60 zenon_H42 zenon_H133 zenon_H192 zenon_H16b zenon_H166 zenon_Hbd zenon_Hca zenon_Hf9 zenon_H6e zenon_H5f zenon_He8 zenon_H6a zenon_Hc1 zenon_H105 zenon_H178 zenon_H16e zenon_H174 zenon_H189 zenon_H182 zenon_H66 zenon_H17f zenon_He0 zenon_H57 zenon_H18c zenon_H161 zenon_H126 zenon_H15c zenon_Hb2 zenon_Hac zenon_H152 zenon_H142 zenon_H17b zenon_H11a zenon_H169 zenon_H1db zenon_H1d9 zenon_H1f3 zenon_H1f4 zenon_H1e0 zenon_H1e4 zenon_H1ed zenon_H1ec zenon_H1f5 zenon_H1fc zenon_H1c2 zenon_H1d5 zenon_H73 zenon_H1d3 zenon_H1be zenon_H1d2 zenon_H1b6 zenon_H3e0 zenon_H381 zenon_H36f zenon_H3ec zenon_H19e zenon_H19f zenon_H1a4 zenon_H47 zenon_H1c3 zenon_H1a8 zenon_H1bf zenon_Hf6 zenon_H1ba zenon_H1b0 zenon_H1aa zenon_H1c8 zenon_H1d8 zenon_H1fe zenon_H15 zenon_H2f1 zenon_H22b zenon_H22a zenon_H26a zenon_H279 zenon_H288 zenon_H304 zenon_H309 zenon_H2c7 zenon_H2d7 zenon_H204 zenon_H20a zenon_H23a zenon_H290 zenon_H2e3 zenon_H2eb zenon_H2e6 zenon_H2de zenon_H2ee zenon_H2f3 zenon_H23e zenon_H301 zenon_H2f6 zenon_H2f9 zenon_H2fe zenon_H25d zenon_H234 zenon_H242 zenon_H264 zenon_H276 zenon_H32b zenon_H80 zenon_H2c zenon_H33 zenon_H26e.
% 43.27/43.46 apply (zenon_or_s _ _ zenon_H33b); [ zenon_intro zenon_H214 | zenon_intro zenon_H338 ].
% 43.27/43.46 apply (zenon_L477_); trivial.
% 43.27/43.46 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ].
% 43.27/43.46 exact (zenon_H15 zenon_H14).
% 43.27/43.46 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ].
% 43.27/43.46 apply (zenon_L246_); trivial.
% 43.27/43.46 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ].
% 43.27/43.46 apply (zenon_L173_); trivial.
% 43.27/43.46 apply (zenon_L252_); trivial.
% 43.27/43.46 (* end of lemma zenon_L478_ *)
% 43.27/43.46 assert (zenon_L479_ : ((~((op2 (e22) (e20)) = (e22)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> ((~((op2 (e21) (e21)) = (e21)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e20) = (e22))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))))))))))))))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((e21) = (e22))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((op2 (e20) (e20)) = (e22)) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e22) = (e23))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((e21) = (e23))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e22) (e21)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e21) (e20)) = (e21))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))))))))))))))))) -> (~((e10) = (e12))) -> (~((e12) = (e13))) -> (~((e11) = (e12))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (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 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((h3 (op1 (e12) (e11))) = (op2 (h3 (e12)) (h3 (e11))))) -> ((h3 (e12)) = (e22)) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (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) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((e20) = (e21))) -> ((op2 (e21) (e21)) = (e21)) -> (~((e20) = (e23))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> False).
% 43.27/43.46 do 0 intro. intros zenon_H354 zenon_H330 zenon_H279 zenon_H304 zenon_H23e zenon_H23a zenon_H234 zenon_H242 zenon_H290 zenon_H2e3 zenon_H2de zenon_H2ee zenon_H2f3 zenon_H32b zenon_H25d zenon_H2f9 zenon_H2f6 zenon_H301 zenon_H324 zenon_H32f zenon_H2c7 zenon_H2d7 zenon_H204 zenon_H20a zenon_H26a zenon_H2eb zenon_H30b zenon_H22b zenon_H22a zenon_H30e zenon_H2f1 zenon_H2fe zenon_H93 zenon_H25a zenon_H31e zenon_H288 zenon_H316 zenon_H311 zenon_H321 zenon_H264 zenon_H276 zenon_H24d zenon_H3ef zenon_H9c zenon_H249 zenon_H345 zenon_H214 zenon_Hc4 zenon_H48 zenon_H60 zenon_H42 zenon_H133 zenon_H192 zenon_H16b zenon_H166 zenon_Hbd zenon_Hca zenon_Hf9 zenon_H6e zenon_H5f zenon_He8 zenon_H6a zenon_Hc1 zenon_H105 zenon_H178 zenon_H16e zenon_H174 zenon_H189 zenon_H182 zenon_H66 zenon_H17f zenon_He0 zenon_H57 zenon_H18c zenon_H161 zenon_H126 zenon_H15c zenon_Hb2 zenon_Hac zenon_H152 zenon_H142 zenon_H17b zenon_H11a zenon_H169 zenon_H1db zenon_H1d9 zenon_H1f3 zenon_H1f4 zenon_H1e0 zenon_H1e4 zenon_H1ed zenon_H1ec zenon_H1f5 zenon_H1fc zenon_H1c2 zenon_H1d5 zenon_H73 zenon_H1d3 zenon_H1be zenon_H1d2 zenon_H1b6 zenon_H3e0 zenon_H381 zenon_H36f zenon_H3ec zenon_H19e zenon_H19f zenon_H1a4 zenon_H47 zenon_H1c3 zenon_H1a8 zenon_H1bf zenon_Hf6 zenon_H1ba zenon_H1b0 zenon_H1aa zenon_H1c8 zenon_H1d8 zenon_H1fe zenon_H337 zenon_H15 zenon_H2e6 zenon_H219 zenon_H80 zenon_H2c zenon_H33 zenon_H26e.
% 43.27/43.46 apply (zenon_or_s _ _ zenon_H354); [ zenon_intro zenon_H346 | zenon_intro zenon_H338 ].
% 43.27/43.46 apply (zenon_L475_); trivial.
% 43.27/43.46 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ].
% 43.27/43.46 exact (zenon_H15 zenon_H14).
% 43.27/43.46 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ].
% 43.27/43.46 apply (zenon_L212_); trivial.
% 43.27/43.46 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ].
% 43.27/43.46 apply (zenon_L173_); trivial.
% 43.27/43.46 apply (zenon_L252_); trivial.
% 43.27/43.46 (* end of lemma zenon_L479_ *)
% 43.27/43.46 assert (zenon_L480_ : ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (~((e20) = (e23))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e20)) = (e20))) -> ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e12)) = (e22)) -> (~((h3 (op1 (e12) (e11))) = (op2 (h3 (e12)) (h3 (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (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)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = 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(e23))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))))))))))))))))) -> ((~((op2 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((e20) = (e22))) -> ((~((op2 (e21) (e21)) = (e21)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e22) (e20)) = (e22)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> ((op2 (e21) (e21)) = (e21)) -> (~((e22) = (e23))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((e21) = (e22))) -> False).
% 43.27/43.47 do 0 intro. intros zenon_H2c zenon_H80 zenon_H2e6 zenon_H15 zenon_H337 zenon_H1fe zenon_H1d8 zenon_H1c8 zenon_H1aa zenon_H1b0 zenon_H1ba zenon_Hf6 zenon_H1bf zenon_H1a8 zenon_H1c3 zenon_H47 zenon_H1a4 zenon_H19f zenon_H19e zenon_H3ec zenon_H36f zenon_H381 zenon_H3e0 zenon_H1b6 zenon_H1d2 zenon_H1be zenon_H1d3 zenon_H73 zenon_H1d5 zenon_H1c2 zenon_H1fc zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H1e4 zenon_H1e0 zenon_H1f4 zenon_H1f3 zenon_H1d9 zenon_H1db zenon_H169 zenon_H11a zenon_H17b zenon_H142 zenon_H152 zenon_Hac zenon_Hb2 zenon_H15c zenon_H126 zenon_H161 zenon_H18c zenon_H57 zenon_He0 zenon_H17f zenon_H66 zenon_H182 zenon_H189 zenon_H174 zenon_H16e zenon_H178 zenon_H105 zenon_Hc1 zenon_H6a zenon_He8 zenon_H5f zenon_H6e zenon_Hf9 zenon_Hca zenon_Hbd zenon_H166 zenon_H16b zenon_H192 zenon_H133 zenon_H42 zenon_H60 zenon_H48 zenon_Hc4 zenon_H214 zenon_H345 zenon_H249 zenon_H9c zenon_H3ef zenon_H24d zenon_H276 zenon_H264 zenon_H321 zenon_H311 zenon_H316 zenon_H31e zenon_H93 zenon_H2fe zenon_H30e zenon_H30b zenon_H2eb zenon_H20a zenon_H204 zenon_H2d7 zenon_H2c7 zenon_H32f zenon_H324 zenon_H301 zenon_H2f6 zenon_H2f9 zenon_H25d zenon_H32b zenon_H2f3 zenon_H2ee zenon_H2de zenon_H2e3 zenon_H290 zenon_H242 zenon_H234 zenon_H23a zenon_H23e zenon_H304 zenon_H330 zenon_H354 zenon_H219 zenon_H288 zenon_H279 zenon_H26a zenon_H22a zenon_H33 zenon_H22b zenon_H26e zenon_H2f1.
% 43.27/43.47 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H226 | zenon_intro zenon_H32c ].
% 43.27/43.47 apply (zenon_L474_); trivial.
% 43.27/43.47 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H25a | zenon_intro zenon_H32d ].
% 43.27/43.47 apply (zenon_L479_); trivial.
% 43.27/43.47 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H328 | zenon_intro zenon_H32e ].
% 43.27/43.47 apply (zenon_L270_); trivial.
% 43.27/43.47 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H2ab | zenon_intro zenon_H31a ].
% 43.27/43.47 apply (zenon_L197_); trivial.
% 43.27/43.47 apply (zenon_L245_); trivial.
% 43.27/43.47 (* end of lemma zenon_L480_ *)
% 43.27/43.47 assert (zenon_L481_ : ((~((op2 (e21) (e20)) = (e21)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((e21) = (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e22) = (e23))) -> ((~((op2 (e22) (e20)) = (e22)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> ((~((op2 (e21) (e21)) = (e21)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (~((e20) = (e22))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))))))))))))))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((e21) = (e23))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e22) (e21)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))))))))))))))))) -> (~((e10) = (e12))) -> (~((e12) = (e13))) -> (~((e11) = (e12))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (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 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((h3 (op1 (e12) (e11))) = (op2 (h3 (e12)) (h3 (e11))))) -> ((h3 (e12)) = (e22)) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (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) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((e20) = (e21))) -> ((op2 (e21) (e21)) = (e21)) -> (~((e20) = (e23))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> False).
% 43.27/43.47 do 0 intro. intros zenon_H33b zenon_H2f1 zenon_H22b zenon_H22a zenon_H26a zenon_H279 zenon_H288 zenon_H354 zenon_H330 zenon_H304 zenon_H23e zenon_H23a zenon_H234 zenon_H242 zenon_H290 zenon_H2e3 zenon_H2de zenon_H2ee zenon_H2f3 zenon_H32b zenon_H25d zenon_H2f9 zenon_H2f6 zenon_H301 zenon_H324 zenon_H32f zenon_H2c7 zenon_H2d7 zenon_H204 zenon_H20a zenon_H2eb zenon_H30b zenon_H30e zenon_H2fe zenon_H93 zenon_H31e zenon_H316 zenon_H311 zenon_H321 zenon_H264 zenon_H276 zenon_H24d zenon_H3ef zenon_H9c zenon_H249 zenon_H345 zenon_Hc4 zenon_H48 zenon_H60 zenon_H42 zenon_H133 zenon_H192 zenon_H16b zenon_H166 zenon_Hbd zenon_Hca zenon_Hf9 zenon_H6e zenon_H5f zenon_He8 zenon_H6a zenon_Hc1 zenon_H105 zenon_H178 zenon_H16e zenon_H174 zenon_H189 zenon_H182 zenon_H66 zenon_H17f zenon_He0 zenon_H57 zenon_H18c zenon_H161 zenon_H126 zenon_H15c zenon_Hb2 zenon_Hac zenon_H152 zenon_H142 zenon_H17b zenon_H11a zenon_H169 zenon_H1db zenon_H1d9 zenon_H1f3 zenon_H1f4 zenon_H1e0 zenon_H1e4 zenon_H1ed zenon_H1ec zenon_H1f5 zenon_H1fc zenon_H1c2 zenon_H1d5 zenon_H73 zenon_H1d3 zenon_H1be zenon_H1d2 zenon_H1b6 zenon_H3e0 zenon_H381 zenon_H36f zenon_H3ec zenon_H19e zenon_H19f zenon_H1a4 zenon_H47 zenon_H1c3 zenon_H1a8 zenon_H1bf zenon_Hf6 zenon_H1ba zenon_H1b0 zenon_H1aa zenon_H1c8 zenon_H1d8 zenon_H1fe zenon_H337 zenon_H15 zenon_H2e6 zenon_H219 zenon_H80 zenon_H2c zenon_H33 zenon_H26e.
% 43.27/43.47 apply (zenon_or_s _ _ zenon_H33b); [ zenon_intro zenon_H214 | zenon_intro zenon_H338 ].
% 43.27/43.47 apply (zenon_L480_); trivial.
% 43.27/43.47 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ].
% 43.27/43.47 exact (zenon_H15 zenon_H14).
% 43.27/43.47 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ].
% 43.27/43.47 apply (zenon_L212_); trivial.
% 43.27/43.47 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ].
% 43.27/43.47 apply (zenon_L173_); trivial.
% 43.27/43.47 apply (zenon_L252_); trivial.
% 43.27/43.47 (* end of lemma zenon_L481_ *)
% 43.27/43.47 assert (zenon_L482_ : ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> ((op2 (e23) (e23)) = (e21)) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e12)) = (e22)) -> (~((h3 (op1 (e12) (e11))) = (op2 (h3 (e12)) (h3 (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (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)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e12) = (e13))) -> (~((e10) = (e12))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))))))))))))))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op2 (e21) (e20)) = (e21))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e20)) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e22) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((e21) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((e22) = (e23))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((op2 (e20) (e20)) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((e20) = (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))))))))))))))))) -> ((~((op2 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> ((~((op2 (e21) (e21)) = (e21)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (~((e20) = (e23))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> False).
% 43.27/43.47 do 0 intro. intros zenon_H337 zenon_H274 zenon_H1fe zenon_H1d8 zenon_H1c8 zenon_H1aa zenon_H1b0 zenon_H1ba zenon_Hf6 zenon_H1bf zenon_H1a8 zenon_H1c3 zenon_H47 zenon_H1a4 zenon_H19f zenon_H19e zenon_H3ec zenon_H36f zenon_H381 zenon_H3e0 zenon_H1b6 zenon_H1d2 zenon_H1be zenon_H1d3 zenon_H73 zenon_H1d5 zenon_H1c2 zenon_H1fc zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H1e4 zenon_H1e0 zenon_H1f4 zenon_H1f3 zenon_H1d9 zenon_H1db zenon_H169 zenon_H11a zenon_H17b zenon_H142 zenon_H152 zenon_Hac zenon_Hb2 zenon_H15c zenon_H126 zenon_H161 zenon_H18c zenon_H57 zenon_He0 zenon_H17f zenon_H66 zenon_H182 zenon_H189 zenon_H174 zenon_H16e zenon_H178 zenon_H105 zenon_Hc1 zenon_H6a zenon_He8 zenon_H5f zenon_H6e zenon_Hf9 zenon_Hca zenon_Hbd zenon_H166 zenon_H16b zenon_H192 zenon_H133 zenon_H42 zenon_H60 zenon_H48 zenon_Hc4 zenon_H214 zenon_H345 zenon_H249 zenon_H346 zenon_H9c zenon_H3ef zenon_H24d zenon_H15 zenon_H276 zenon_H264 zenon_H321 zenon_H311 zenon_H316 zenon_H288 zenon_H31e zenon_H25a zenon_H93 zenon_H2fe zenon_H2f1 zenon_H30e zenon_H22a zenon_H22b zenon_H30b zenon_H2eb zenon_H26a zenon_H2e6 zenon_H20a zenon_H204 zenon_H2d7 zenon_H2c7 zenon_H32f zenon_H324 zenon_H301 zenon_H2f6 zenon_H2f9 zenon_H25d zenon_H32b zenon_H2f3 zenon_H2ee zenon_H2de zenon_H2e3 zenon_H290 zenon_H242 zenon_H234 zenon_H23a zenon_H23e zenon_H304 zenon_H279 zenon_H330 zenon_H80 zenon_H2c zenon_H33 zenon_H26e.
% 43.27/43.47 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H338 ].
% 43.27/43.47 apply (zenon_or_s _ _ zenon_H2c7); [ zenon_intro zenon_H1a | zenon_intro zenon_H2c8 ].
% 43.27/43.47 apply (zenon_L4_); trivial.
% 43.27/43.47 apply (zenon_or_s _ _ zenon_H2c8); [ zenon_intro zenon_H1fd | zenon_intro zenon_H2c9 ].
% 43.27/43.47 apply (zenon_L470_); trivial.
% 43.27/43.47 apply (zenon_or_s _ _ zenon_H2c9); [ zenon_intro zenon_H208 | zenon_intro zenon_H2ca ].
% 43.27/43.47 apply (zenon_L154_); trivial.
% 43.27/43.47 apply (zenon_or_s _ _ zenon_H2ca); [ zenon_intro zenon_H210 | zenon_intro zenon_H2cb ].
% 43.27/43.47 apply (zenon_L156_); trivial.
% 43.27/43.47 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H213 | zenon_intro zenon_H2cc ].
% 43.27/43.47 apply (zenon_L157_); trivial.
% 43.27/43.47 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H21b | zenon_intro zenon_H2cd ].
% 43.27/43.47 apply (zenon_L160_); trivial.
% 43.27/43.47 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H225 | zenon_intro zenon_H2ce ].
% 43.27/43.47 apply (zenon_L255_); trivial.
% 43.27/43.47 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H231 | zenon_intro zenon_H2cf ].
% 43.27/43.47 apply (zenon_L164_); trivial.
% 43.27/43.47 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_H245 | zenon_intro zenon_H2d0 ].
% 43.27/43.47 apply (zenon_L232_); trivial.
% 43.27/43.47 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H2a5 | zenon_intro zenon_H2d1 ].
% 43.27/43.47 apply (zenon_L472_); trivial.
% 43.27/43.47 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H2ae | zenon_intro zenon_H2d2 ].
% 43.27/43.47 apply (zenon_L198_); trivial.
% 43.27/43.47 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H2b0 | zenon_intro zenon_H2d3 ].
% 43.27/43.47 apply (zenon_L199_); trivial.
% 43.27/43.47 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H2b3 | zenon_intro zenon_H2d4 ].
% 43.27/43.47 apply (zenon_L200_); trivial.
% 43.27/43.47 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_H2bc | zenon_intro zenon_H2d5 ].
% 43.27/43.47 apply (zenon_L240_); trivial.
% 43.27/43.47 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2c5 ].
% 43.27/43.47 apply (zenon_L203_); trivial.
% 43.27/43.47 apply (zenon_L241_); trivial.
% 43.27/43.47 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ].
% 43.27/43.47 exact (zenon_H15 zenon_H14).
% 43.27/43.47 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ].
% 43.27/43.47 apply (zenon_L258_); trivial.
% 43.27/43.47 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ].
% 43.27/43.47 apply (zenon_L173_); trivial.
% 43.27/43.47 apply (zenon_L252_); trivial.
% 43.27/43.47 (* end of lemma zenon_L482_ *)
% 43.27/43.47 assert (zenon_L483_ : ((~((op2 (e22) (e20)) = (e22)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> ((op2 (e20) (e20)) = (e22)) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e22) (e21)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e21) (e20)) = (e21))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))))))))))))))))) -> (~((e10) = (e12))) -> (~((e12) = (e13))) -> (~((e11) = (e12))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (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 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((h3 (op1 (e12) (e11))) = (op2 (h3 (e12)) (h3 (e11))))) -> ((h3 (e12)) = (e22)) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (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) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((op2 (e23) (e23)) = (e21)) -> ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((e21) = (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e22) = (e23))) -> (~((e20) = (e22))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))))))))))))))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((e21) = (e23))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e21) (e21)) = (e21)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (~((e20) = (e23))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> False).
% 43.27/43.48 do 0 intro. intros zenon_H354 zenon_H25a zenon_H24d zenon_H3ef zenon_H9c zenon_H249 zenon_H345 zenon_H214 zenon_Hc4 zenon_H48 zenon_H60 zenon_H42 zenon_H133 zenon_H192 zenon_H16b zenon_H166 zenon_Hbd zenon_Hca zenon_Hf9 zenon_H6e zenon_H5f zenon_He8 zenon_H6a zenon_Hc1 zenon_H105 zenon_H178 zenon_H16e zenon_H174 zenon_H189 zenon_H182 zenon_H66 zenon_H17f zenon_He0 zenon_H57 zenon_H18c zenon_H161 zenon_H126 zenon_H15c zenon_Hb2 zenon_Hac zenon_H152 zenon_H142 zenon_H17b zenon_H11a zenon_H169 zenon_H1db zenon_H1d9 zenon_H1f3 zenon_H1f4 zenon_H1e0 zenon_H1e4 zenon_H1ed zenon_H1ec zenon_H1f5 zenon_H1fc zenon_H1c2 zenon_H1d5 zenon_H73 zenon_H1d3 zenon_H1be zenon_H1d2 zenon_H1b6 zenon_H3e0 zenon_H381 zenon_H36f zenon_H3ec zenon_H19e zenon_H19f zenon_H1a4 zenon_H47 zenon_H1c3 zenon_H1a8 zenon_H1bf zenon_Hf6 zenon_H1ba zenon_H1b0 zenon_H1aa zenon_H1c8 zenon_H1d8 zenon_H1fe zenon_H274 zenon_H337 zenon_H15 zenon_H2f1 zenon_H22b zenon_H22a zenon_H26a zenon_H279 zenon_H288 zenon_H304 zenon_H2c7 zenon_H2d7 zenon_H204 zenon_H20a zenon_H2e6 zenon_H2eb zenon_H30b zenon_H30e zenon_H2fe zenon_H93 zenon_H31e zenon_H316 zenon_H311 zenon_H321 zenon_H264 zenon_H276 zenon_H23e zenon_H23a zenon_H234 zenon_H242 zenon_H290 zenon_H2e3 zenon_H2de zenon_H2ee zenon_H2f3 zenon_H32b zenon_H25d zenon_H2f9 zenon_H2f6 zenon_H301 zenon_H324 zenon_H32f zenon_H330 zenon_H80 zenon_H2c zenon_H33 zenon_H26e.
% 43.27/43.48 apply (zenon_or_s _ _ zenon_H354); [ zenon_intro zenon_H346 | zenon_intro zenon_H338 ].
% 43.27/43.48 apply (zenon_L482_); trivial.
% 43.27/43.48 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ].
% 43.27/43.48 exact (zenon_H15 zenon_H14).
% 43.27/43.48 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ].
% 43.27/43.48 apply (zenon_L251_); trivial.
% 43.27/43.48 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ].
% 43.27/43.48 apply (zenon_L173_); trivial.
% 43.27/43.48 apply (zenon_L252_); trivial.
% 43.27/43.48 (* end of lemma zenon_L483_ *)
% 43.27/43.48 assert (zenon_L484_ : ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e12)) = (e22)) -> (~((h3 (op1 (e12) (e11))) = (op2 (h3 (e12)) (h3 (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (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)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e12) = (e13))) -> (~((e10) = (e12))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))))))))))))))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e22) (e21)) = (e23))))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (~((e20) = (e23))) -> ((~((op2 (e21) (e21)) = (e21)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((e21) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((e20) = (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))))))))))))))))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e20)) = (e20))) -> ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> ((op2 (e23) (e23)) = (e21)) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e20)) = (e21))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((~((op2 (e22) (e20)) = (e22)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((e22) = (e23))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((e21) = (e22))) -> False).
% 43.27/43.48 do 0 intro. intros zenon_H1fe zenon_H1d8 zenon_H1c8 zenon_H1aa zenon_H1b0 zenon_H1ba zenon_Hf6 zenon_H1bf zenon_H1a8 zenon_H1c3 zenon_H47 zenon_H1a4 zenon_H19f zenon_H19e zenon_H3ec zenon_H36f zenon_H381 zenon_H3e0 zenon_H1b6 zenon_H1d2 zenon_H1be zenon_H1d3 zenon_H73 zenon_H1d5 zenon_H1c2 zenon_H1fc zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H1e4 zenon_H1e0 zenon_H1f4 zenon_H1f3 zenon_H1d9 zenon_H1db zenon_H169 zenon_H11a zenon_H17b zenon_H142 zenon_H152 zenon_Hac zenon_Hb2 zenon_H15c zenon_H126 zenon_H161 zenon_H18c zenon_H57 zenon_He0 zenon_H17f zenon_H66 zenon_H182 zenon_H189 zenon_H174 zenon_H16e zenon_H178 zenon_H105 zenon_Hc1 zenon_H6a zenon_He8 zenon_H5f zenon_H6e zenon_Hf9 zenon_Hca zenon_Hbd zenon_H166 zenon_H16b zenon_H192 zenon_H133 zenon_H42 zenon_H60 zenon_H48 zenon_Hc4 zenon_H3ef zenon_H2c zenon_H80 zenon_H330 zenon_H32f zenon_H324 zenon_H301 zenon_H2f6 zenon_H2f9 zenon_H25d zenon_H32b zenon_H2f3 zenon_H2ee zenon_H2de zenon_H2e3 zenon_H290 zenon_H242 zenon_H234 zenon_H23a zenon_H23e zenon_H276 zenon_H264 zenon_H321 zenon_H311 zenon_H316 zenon_H31e zenon_H93 zenon_H2fe zenon_H30e zenon_H30b zenon_H2eb zenon_H2e6 zenon_H20a zenon_H204 zenon_H2d7 zenon_H2c7 zenon_H304 zenon_H15 zenon_H337 zenon_H274 zenon_H352 zenon_H33d zenon_H214 zenon_H349 zenon_H27d zenon_H24d zenon_H342 zenon_H260 zenon_H253 zenon_H33c zenon_H27c zenon_H33e zenon_H85 zenon_H29d zenon_H345 zenon_H249 zenon_H9c zenon_H256 zenon_H354 zenon_H288 zenon_H279 zenon_H26a zenon_H22a zenon_H33 zenon_H22b zenon_H26e zenon_H2f1.
% 43.27/43.48 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H226 | zenon_intro zenon_H32c ].
% 43.27/43.48 apply (zenon_L474_); trivial.
% 43.27/43.48 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H25a | zenon_intro zenon_H32d ].
% 43.27/43.48 apply (zenon_L483_); trivial.
% 43.27/43.48 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H328 | zenon_intro zenon_H32e ].
% 43.27/43.48 apply (zenon_L302_); trivial.
% 43.27/43.48 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H2ab | zenon_intro zenon_H31a ].
% 43.27/43.48 apply (zenon_L197_); trivial.
% 43.27/43.48 apply (zenon_L245_); trivial.
% 43.27/43.48 (* end of lemma zenon_L484_ *)
% 43.27/43.48 assert (zenon_L485_ : ((~((op2 (e21) (e20)) = (e21)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> ((~((op2 (e22) (e20)) = (e22)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e23) (e23)) = (e21)) -> ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e22) (e21)) = (e23))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e12)) = 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(e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))))))))))))))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((e21) = (e23))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e21) (e21)) = (e21)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (~((e20) = (e23))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> False).
% 43.27/43.48 do 0 intro. intros zenon_H33b zenon_H354 zenon_H256 zenon_H9c zenon_H249 zenon_H345 zenon_H29d zenon_H85 zenon_H33e zenon_H27c zenon_H33c zenon_H253 zenon_H260 zenon_H342 zenon_H24d zenon_H27d zenon_H349 zenon_H33d zenon_H352 zenon_H274 zenon_H337 zenon_H3ef zenon_Hc4 zenon_H48 zenon_H60 zenon_H42 zenon_H133 zenon_H192 zenon_H16b zenon_H166 zenon_Hbd zenon_Hca zenon_Hf9 zenon_H6e zenon_H5f zenon_He8 zenon_H6a zenon_Hc1 zenon_H105 zenon_H178 zenon_H16e zenon_H174 zenon_H189 zenon_H182 zenon_H66 zenon_H17f zenon_He0 zenon_H57 zenon_H18c zenon_H161 zenon_H126 zenon_H15c zenon_Hb2 zenon_Hac zenon_H152 zenon_H142 zenon_H17b zenon_H11a zenon_H169 zenon_H1db zenon_H1d9 zenon_H1f3 zenon_H1f4 zenon_H1e0 zenon_H1e4 zenon_H1ed zenon_H1ec zenon_H1f5 zenon_H1fc zenon_H1c2 zenon_H1d5 zenon_H73 zenon_H1d3 zenon_H1be zenon_H1d2 zenon_H1b6 zenon_H3e0 zenon_H381 zenon_H36f zenon_H3ec zenon_H19e zenon_H19f zenon_H1a4 zenon_H47 zenon_H1c3 zenon_H1a8 zenon_H1bf zenon_Hf6 zenon_H1ba zenon_H1b0 zenon_H1aa zenon_H1c8 zenon_H1d8 zenon_H1fe zenon_H15 zenon_H2f1 zenon_H22b zenon_H22a zenon_H26a zenon_H279 zenon_H288 zenon_H304 zenon_H2c7 zenon_H2d7 zenon_H204 zenon_H20a zenon_H2e6 zenon_H2eb zenon_H30b zenon_H30e zenon_H2fe zenon_H93 zenon_H31e zenon_H316 zenon_H311 zenon_H321 zenon_H264 zenon_H276 zenon_H23e zenon_H23a zenon_H234 zenon_H242 zenon_H290 zenon_H2e3 zenon_H2de zenon_H2ee zenon_H2f3 zenon_H32b zenon_H25d zenon_H2f9 zenon_H2f6 zenon_H301 zenon_H324 zenon_H32f zenon_H330 zenon_H80 zenon_H2c zenon_H33 zenon_H26e.
% 43.27/43.48 apply (zenon_or_s _ _ zenon_H33b); [ zenon_intro zenon_H214 | zenon_intro zenon_H338 ].
% 43.27/43.48 apply (zenon_L484_); trivial.
% 43.27/43.48 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ].
% 43.27/43.48 exact (zenon_H15 zenon_H14).
% 43.27/43.48 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ].
% 43.27/43.48 apply (zenon_L251_); trivial.
% 43.27/43.48 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ].
% 43.27/43.48 apply (zenon_L173_); trivial.
% 43.27/43.48 apply (zenon_L252_); trivial.
% 43.27/43.48 (* end of lemma zenon_L485_ *)
% 43.27/43.48 assert (zenon_L486_ : (~((h3 (op1 (e12) (e12))) = (op2 (h3 (e12)) (h3 (e12))))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> ((e13) = (op1 (e12) (e12))) -> ((h3 (e12)) = (e22)) -> False).
% 43.27/43.48 do 0 intro. intros zenon_H3f2 zenon_H30 zenon_H48 zenon_H381.
% 43.27/43.48 cut (((h3 (e13)) = (op2 (e22) (e22))) = ((h3 (op1 (e12) (e12))) = (op2 (h3 (e12)) (h3 (e12))))).
% 43.27/43.48 intro zenon_D_pnotp.
% 43.27/43.48 apply zenon_H3f2.
% 43.27/43.48 rewrite <- zenon_D_pnotp.
% 43.27/43.48 exact zenon_H30.
% 43.27/43.48 cut (((op2 (e22) (e22)) = (op2 (h3 (e12)) (h3 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H3f3].
% 43.27/43.48 cut (((h3 (e13)) = (h3 (op1 (e12) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H3f4].
% 43.27/43.48 congruence.
% 43.27/43.48 elim (classic ((h3 (op1 (e12) (e12))) = (h3 (op1 (e12) (e12))))); [ zenon_intro zenon_H3f5 | zenon_intro zenon_H3f6 ].
% 43.27/43.48 cut (((h3 (op1 (e12) (e12))) = (h3 (op1 (e12) (e12)))) = ((h3 (e13)) = (h3 (op1 (e12) (e12))))).
% 43.27/43.48 intro zenon_D_pnotp.
% 43.27/43.48 apply zenon_H3f4.
% 43.27/43.48 rewrite <- zenon_D_pnotp.
% 43.27/43.48 exact zenon_H3f5.
% 43.27/43.48 cut (((h3 (op1 (e12) (e12))) = (h3 (op1 (e12) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H3f6].
% 43.27/43.48 cut (((h3 (op1 (e12) (e12))) = (h3 (e13)))); [idtac | apply NNPP; zenon_intro zenon_H3f7].
% 43.27/43.48 congruence.
% 43.27/43.48 cut (((op1 (e12) (e12)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H55].
% 43.27/43.48 congruence.
% 43.27/43.48 apply zenon_H55. apply sym_equal. exact zenon_H48.
% 43.27/43.48 apply zenon_H3f6. apply refl_equal.
% 43.27/43.48 apply zenon_H3f6. apply refl_equal.
% 43.27/43.48 cut (((e22) = (h3 (e12)))); [idtac | apply NNPP; zenon_intro zenon_H3f8].
% 43.27/43.48 cut (((e22) = (h3 (e12)))); [idtac | apply NNPP; zenon_intro zenon_H3f8].
% 43.27/43.48 congruence.
% 43.27/43.48 apply zenon_H3f8. apply sym_equal. exact zenon_H381.
% 43.27/43.48 apply zenon_H3f8. apply sym_equal. exact zenon_H381.
% 43.27/43.48 (* end of lemma zenon_L486_ *)
% 43.27/43.48 assert (zenon_L487_ : (~((h3 (op1 (e12) (e13))) = (op2 (h3 (e12)) (h3 (e13))))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((op1 (e12) (e13)) = (e10)) -> ((op2 (e22) (e23)) = (e20)) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e12)) = (e22)) -> ((h3 (e13)) = (op2 (e22) (e22))) -> ((e23) = (op2 (e22) (e22))) -> False).
% 43.27/43.48 do 0 intro. intros zenon_H3f9 zenon_H2b zenon_Hf7 zenon_H254 zenon_H2c zenon_H381 zenon_H30 zenon_H33.
% 43.27/43.48 cut (((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) = ((h3 (op1 (e12) (e13))) = (op2 (h3 (e12)) (h3 (e13))))).
% 43.27/43.48 intro zenon_D_pnotp.
% 43.27/43.48 apply zenon_H3f9.
% 43.27/43.48 rewrite <- zenon_D_pnotp.
% 43.27/43.48 exact zenon_H2b.
% 43.27/43.48 cut (((op2 (op2 (e22) (e22)) (e22)) = (op2 (h3 (e12)) (h3 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H3fa].
% 43.27/43.48 cut (((h3 (e10)) = (h3 (op1 (e12) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H3fb].
% 43.27/43.48 congruence.
% 43.27/43.48 elim (classic ((h3 (op1 (e12) (e13))) = (h3 (op1 (e12) (e13))))); [ zenon_intro zenon_H3fc | zenon_intro zenon_H3fd ].
% 43.27/43.48 cut (((h3 (op1 (e12) (e13))) = (h3 (op1 (e12) (e13)))) = ((h3 (e10)) = (h3 (op1 (e12) (e13))))).
% 43.27/43.48 intro zenon_D_pnotp.
% 43.27/43.48 apply zenon_H3fb.
% 43.27/43.48 rewrite <- zenon_D_pnotp.
% 43.27/43.48 exact zenon_H3fc.
% 43.27/43.48 cut (((h3 (op1 (e12) (e13))) = (h3 (op1 (e12) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H3fd].
% 43.27/43.48 cut (((h3 (op1 (e12) (e13))) = (h3 (e10)))); [idtac | apply NNPP; zenon_intro zenon_H3fe].
% 43.27/43.48 congruence.
% 43.27/43.48 cut (((op1 (e12) (e13)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H3ff].
% 43.27/43.48 congruence.
% 43.27/43.48 exact (zenon_H3ff zenon_Hf7).
% 43.27/43.48 apply zenon_H3fd. apply refl_equal.
% 43.27/43.48 apply zenon_H3fd. apply refl_equal.
% 43.27/43.48 elim (classic ((op2 (h3 (e12)) (h3 (e13))) = (op2 (h3 (e12)) (h3 (e13))))); [ zenon_intro zenon_H400 | zenon_intro zenon_H401 ].
% 43.27/43.48 cut (((op2 (h3 (e12)) (h3 (e13))) = (op2 (h3 (e12)) (h3 (e13)))) = ((op2 (op2 (e22) (e22)) (e22)) = (op2 (h3 (e12)) (h3 (e13))))).
% 43.27/43.48 intro zenon_D_pnotp.
% 43.27/43.48 apply zenon_H3fa.
% 43.27/43.48 rewrite <- zenon_D_pnotp.
% 43.27/43.48 exact zenon_H400.
% 43.27/43.48 cut (((op2 (h3 (e12)) (h3 (e13))) = (op2 (h3 (e12)) (h3 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H401].
% 43.27/43.48 cut (((op2 (h3 (e12)) (h3 (e13))) = (op2 (op2 (e22) (e22)) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H402].
% 43.27/43.48 congruence.
% 43.27/43.48 cut (((op2 (e22) (e23)) = (e20)) = ((op2 (h3 (e12)) (h3 (e13))) = (op2 (op2 (e22) (e22)) (e22)))).
% 43.27/43.48 intro zenon_D_pnotp.
% 43.27/43.48 apply zenon_H402.
% 43.27/43.48 rewrite <- zenon_D_pnotp.
% 43.27/43.48 exact zenon_H254.
% 43.27/43.48 cut (((e20) = (op2 (op2 (e22) (e22)) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H37c].
% 43.27/43.48 cut (((op2 (e22) (e23)) = (op2 (h3 (e12)) (h3 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H403].
% 43.27/43.48 congruence.
% 43.27/43.48 elim (classic ((op2 (h3 (e12)) (h3 (e13))) = (op2 (h3 (e12)) (h3 (e13))))); [ zenon_intro zenon_H400 | zenon_intro zenon_H401 ].
% 43.27/43.48 cut (((op2 (h3 (e12)) (h3 (e13))) = (op2 (h3 (e12)) (h3 (e13)))) = ((op2 (e22) (e23)) = (op2 (h3 (e12)) (h3 (e13))))).
% 43.27/43.48 intro zenon_D_pnotp.
% 43.27/43.48 apply zenon_H403.
% 43.27/43.48 rewrite <- zenon_D_pnotp.
% 43.27/43.48 exact zenon_H400.
% 43.27/43.48 cut (((op2 (h3 (e12)) (h3 (e13))) = (op2 (h3 (e12)) (h3 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H401].
% 43.27/43.48 cut (((op2 (h3 (e12)) (h3 (e13))) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H404].
% 43.27/43.48 congruence.
% 43.27/43.48 cut (((h3 (e13)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H38f].
% 43.27/43.48 cut (((h3 (e12)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H38e].
% 43.27/43.48 congruence.
% 43.27/43.48 exact (zenon_H38e zenon_H381).
% 43.27/43.48 apply (zenon_L350_); trivial.
% 43.27/43.48 apply zenon_H401. apply refl_equal.
% 43.27/43.48 apply zenon_H401. apply refl_equal.
% 43.27/43.48 exact (zenon_H37c zenon_H2c).
% 43.27/43.48 apply zenon_H401. apply refl_equal.
% 43.27/43.48 apply zenon_H401. apply refl_equal.
% 43.27/43.48 (* end of lemma zenon_L487_ *)
% 43.27/43.48 assert (zenon_L488_ : (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> ((op1 (e11) (e10)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e10) (e11)) = (e10)) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((e10) = (e13))) -> ((e13) = (op1 (e12) (e12))) -> (~((h3 (op1 (e12) (e13))) = (op2 (h3 (e12)) (h3 (e13))))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((op2 (e22) (e23)) = (e20)) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e12)) = (e22)) -> ((h3 (e13)) = (op2 (e22) (e22))) -> ((e23) = (op2 (e22) (e22))) -> False).
% 43.27/43.48 do 0 intro. intros zenon_H1c3 zenon_H50 zenon_H1a8 zenon_H40 zenon_H1b6 zenon_H42 zenon_H48 zenon_H3f9 zenon_H2b zenon_H254 zenon_H2c zenon_H381 zenon_H30 zenon_H33.
% 43.27/43.48 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1c6 ].
% 43.27/43.48 apply (zenon_L105_); trivial.
% 43.27/43.48 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c7 ].
% 43.27/43.48 apply (zenon_L112_); trivial.
% 43.27/43.48 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H196 | zenon_intro zenon_Hf7 ].
% 43.27/43.48 apply (zenon_L101_); trivial.
% 43.27/43.48 apply (zenon_L487_); trivial.
% 43.27/43.48 (* end of lemma zenon_L488_ *)
% 43.27/43.48 assert (zenon_L489_ : (((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13)))))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> ((op2 (e21) (e20)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e20) (e21)) = (e20)) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((e20) = (e23))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((e10) = (e13))) -> ((e13) = (op1 (e12) (e12))) -> (~((h3 (op1 (e12) (e13))) = (op2 (h3 (e12)) (h3 (e13))))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e12)) = (e22)) -> ((h3 (e13)) = (op2 (e22) (e22))) -> ((e23) = (op2 (e22) (e22))) -> False).
% 43.27/43.48 do 0 intro. intros zenon_Ha7 zenon_H27d zenon_H99 zenon_H249 zenon_H7e zenon_H24d zenon_H80 zenon_H1c3 zenon_H1a8 zenon_H1b6 zenon_H42 zenon_H48 zenon_H3f9 zenon_H2b zenon_H2c zenon_H381 zenon_H30 zenon_H33.
% 43.27/43.48 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H40. zenon_intro zenon_Ha9.
% 43.27/43.48 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_H50. zenon_intro zenon_H28.
% 43.27/43.48 apply (zenon_or_s _ _ zenon_H27d); [ zenon_intro zenon_H24a | zenon_intro zenon_H27e ].
% 43.27/43.48 apply (zenon_L170_); trivial.
% 43.27/43.48 apply (zenon_or_s _ _ zenon_H27e); [ zenon_intro zenon_H24e | zenon_intro zenon_H27f ].
% 43.27/43.48 apply (zenon_L171_); trivial.
% 43.27/43.48 apply (zenon_or_s _ _ zenon_H27f); [ zenon_intro zenon_H251 | zenon_intro zenon_H254 ].
% 43.27/43.48 apply (zenon_L173_); trivial.
% 43.27/43.48 apply (zenon_L488_); trivial.
% 43.27/43.48 (* end of lemma zenon_L489_ *)
% 43.27/43.48 assert (zenon_L490_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (e10))) -> ((e23) = (op2 (e22) (e22))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> ((h3 (e12)) = (e22)) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((op2 (e22) (e23)) = (e20)) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> (~((h3 (op1 (e12) (e13))) = (op2 (h3 (e12)) (h3 (e13))))) -> (~((e10) = (e13))) -> (~((e10) = (e12))) -> ((op1 (e12) (e11)) = (e12)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (op1 (e12) (e10))) = (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> ((e13) = (op1 (e12) (e12))) -> False).
% 43.27/43.48 do 0 intro. intros zenon_H10d zenon_H21 zenon_H33 zenon_H30 zenon_H381 zenon_H2c zenon_H254 zenon_H2b zenon_H3f9 zenon_H42 zenon_H17b zenon_H114 zenon_H1a8 zenon_H1c3 zenon_Hef zenon_Hb2 zenon_H60 zenon_H48.
% 43.27/43.48 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H20 | zenon_intro zenon_H110 ].
% 43.27/43.48 exact (zenon_H21 zenon_H20).
% 43.27/43.48 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_H50 | zenon_intro zenon_H111 ].
% 43.27/43.48 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1c6 ].
% 43.27/43.48 apply (zenon_L105_); trivial.
% 43.27/43.48 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c7 ].
% 43.27/43.48 apply (zenon_L137_); trivial.
% 43.27/43.48 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H196 | zenon_intro zenon_Hf7 ].
% 43.27/43.48 apply (zenon_L101_); trivial.
% 43.27/43.48 apply (zenon_L487_); trivial.
% 43.27/43.48 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hf0 | zenon_intro zenon_Hb3 ].
% 43.27/43.48 apply (zenon_L52_); trivial.
% 43.27/43.48 apply (zenon_L35_); trivial.
% 43.27/43.48 (* end of lemma zenon_L490_ *)
% 43.27/43.48 assert (zenon_L491_ : (((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13)))))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> ((op2 (e21) (e20)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e20) (e21)) = (e20)) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((e20) = (e23))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (e10))) -> ((e23) = (op2 (e22) (e22))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> ((h3 (e12)) = (e22)) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> (~((h3 (op1 (e12) (e13))) = (op2 (h3 (e12)) (h3 (e13))))) -> (~((e10) = (e13))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> ((e13) = (op1 (e12) (e12))) -> False).
% 43.27/43.48 do 0 intro. intros zenon_H112 zenon_H27d zenon_H99 zenon_H249 zenon_H7e zenon_H24d zenon_H80 zenon_H10d zenon_H21 zenon_H33 zenon_H30 zenon_H381 zenon_H2c zenon_H2b zenon_H3f9 zenon_H42 zenon_H17b zenon_H1a8 zenon_H1c3 zenon_Hb2 zenon_H60 zenon_H48.
% 43.27/43.48 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H114. zenon_intro zenon_H113.
% 43.27/43.48 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_H67. zenon_intro zenon_Hee.
% 43.27/43.48 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_Hef. zenon_intro zenon_H115.
% 43.27/43.48 apply (zenon_or_s _ _ zenon_H27d); [ zenon_intro zenon_H24a | zenon_intro zenon_H27e ].
% 43.27/43.48 apply (zenon_L170_); trivial.
% 43.27/43.48 apply (zenon_or_s _ _ zenon_H27e); [ zenon_intro zenon_H24e | zenon_intro zenon_H27f ].
% 43.27/43.48 apply (zenon_L171_); trivial.
% 43.27/43.48 apply (zenon_or_s _ _ zenon_H27f); [ zenon_intro zenon_H251 | zenon_intro zenon_H254 ].
% 43.27/43.48 apply (zenon_L173_); trivial.
% 43.27/43.48 apply (zenon_L490_); trivial.
% 43.27/43.48 (* end of lemma zenon_L491_ *)
% 43.27/43.48 assert (zenon_L492_ : ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))))))))))))))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((e10) = (e12))) -> (~((e10) = (e13))) -> (~((h3 (op1 (e12) (e13))) = (op2 (h3 (e12)) (h3 (e13))))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e12)) = (e22)) -> ((h3 (e13)) = (op2 (e22) (e22))) -> ((e23) = (op2 (e22) (e22))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((e20) = (e23))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e20) (e21)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e21) (e20)) = (e20)) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((e12) = (e13))) -> (~((op1 (e13) (e10)) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((e11) = (e13))) -> False).
% 43.27/43.48 do 0 intro. intros zenon_H142 zenon_H1b6 zenon_Hac zenon_H15b zenon_H6a zenon_He8 zenon_H6f zenon_H5f zenon_H6e zenon_H60 zenon_Hb2 zenon_H1c3 zenon_H1a8 zenon_H17b zenon_H42 zenon_H3f9 zenon_H2b zenon_H2c zenon_H381 zenon_H30 zenon_H33 zenon_H21 zenon_H10d zenon_H80 zenon_H24d zenon_H7e zenon_H249 zenon_H99 zenon_H27d zenon_H11a zenon_H123 zenon_H105 zenon_H133 zenon_H126 zenon_He0 zenon_H48 zenon_H57 zenon_Hc4 zenon_Hc1.
% 43.27/43.48 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H26 | zenon_intro zenon_H143 ].
% 43.27/43.48 apply (zenon_L8_); trivial.
% 43.27/43.48 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H144 ].
% 43.27/43.48 apply (zenon_L489_); trivial.
% 43.27/43.48 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H145 ].
% 43.27/43.48 apply (zenon_L34_); trivial.
% 43.27/43.48 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H146 ].
% 43.27/43.48 apply (zenon_L36_); trivial.
% 43.27/43.48 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hcd | zenon_intro zenon_H147 ].
% 43.27/43.48 apply (zenon_L330_); trivial.
% 43.27/43.48 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H148 ].
% 43.27/43.48 apply (zenon_L45_); trivial.
% 43.27/43.48 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_Hde | zenon_intro zenon_H149 ].
% 43.27/43.48 apply (zenon_L46_); trivial.
% 43.27/43.48 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_He6 | zenon_intro zenon_H14a ].
% 43.27/43.48 apply (zenon_L48_); trivial.
% 43.27/43.48 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Heb | zenon_intro zenon_H14b ].
% 43.27/43.48 apply (zenon_L51_); trivial.
% 43.27/43.48 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H112 | zenon_intro zenon_H14c ].
% 43.27/43.48 apply (zenon_L491_); trivial.
% 43.27/43.48 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H11d | zenon_intro zenon_H14d ].
% 43.27/43.48 apply (zenon_L61_); trivial.
% 43.27/43.48 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H11f | zenon_intro zenon_H14e ].
% 43.27/43.48 apply (zenon_L62_); trivial.
% 43.27/43.48 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H122 | zenon_intro zenon_H14f ].
% 43.27/43.48 apply (zenon_L63_); trivial.
% 43.27/43.48 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H132 | zenon_intro zenon_H150 ].
% 43.27/43.48 apply (zenon_L66_); trivial.
% 43.27/43.48 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H13b | zenon_intro zenon_H140 ].
% 43.27/43.48 apply (zenon_L67_); trivial.
% 43.27/43.48 apply (zenon_L70_); trivial.
% 43.27/43.48 (* end of lemma zenon_L492_ *)
% 43.27/43.48 assert (zenon_L493_ : (((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23)))))))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((h3 (op1 (e12) (e13))) = (op2 (h3 (e12)) (h3 (e13))))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e12)) = (e22)) -> ((h3 (e13)) = (op2 (e22) (e22))) -> ((e23) = (op2 (e22) (e22))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((e20) = (e23))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (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) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e11) (e10)) = (e11)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (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)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e12) = (e13))) -> (~((e10) = (e12))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))))))))))))))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> False).
% 43.27/43.48 do 0 intro. intros zenon_H1fd zenon_H1fe zenon_H3f9 zenon_H2b zenon_H2c zenon_H381 zenon_H30 zenon_H33 zenon_H10d zenon_H80 zenon_H24d zenon_H249 zenon_H27d zenon_H19e zenon_H19f zenon_H1a4 zenon_H47 zenon_H1c3 zenon_H1a8 zenon_H1bf zenon_Hf6 zenon_H1ba zenon_H1b0 zenon_H1aa zenon_H1c8 zenon_H1d8 zenon_H37f zenon_H1b6 zenon_H1d2 zenon_H1be zenon_H1d3 zenon_H73 zenon_H1d5 zenon_H1c2 zenon_H1fc zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H1e4 zenon_H1e0 zenon_H1f4 zenon_H1f3 zenon_H1d9 zenon_H1db zenon_H169 zenon_H11a zenon_H17b zenon_H142 zenon_H152 zenon_Hac zenon_Hb2 zenon_H15c zenon_H126 zenon_H161 zenon_H18c zenon_H57 zenon_He0 zenon_H17f zenon_H66 zenon_H182 zenon_H189 zenon_H174 zenon_H16e zenon_H178 zenon_H105 zenon_Hc1 zenon_H6a zenon_He8 zenon_H5f zenon_H6e zenon_Hf9 zenon_Hca zenon_Hbd zenon_H166 zenon_H16b zenon_H192 zenon_H133 zenon_H42 zenon_H60 zenon_H48 zenon_Hc4.
% 43.27/43.48 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_H7e. zenon_intro zenon_H200.
% 43.27/43.48 apply (zenon_and_s _ _ zenon_H200). zenon_intro zenon_H99. zenon_intro zenon_H1c.
% 43.27/43.48 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H21 | zenon_intro zenon_H1a5 ].
% 43.27/43.48 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H15b | zenon_intro zenon_H1a5 ].
% 43.27/43.48 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H6f | zenon_intro zenon_H193 ].
% 43.27/43.48 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H123 | zenon_intro zenon_H1a5 ].
% 43.27/43.48 apply (zenon_L492_); trivial.
% 43.27/43.48 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H20 | zenon_intro zenon_H1a6 ].
% 43.27/43.48 exact (zenon_H21 zenon_H20).
% 43.27/43.48 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H151 | zenon_intro zenon_H1a7 ].
% 43.27/43.48 apply (zenon_L100_); trivial.
% 43.27/43.48 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H196 | zenon_intro zenon_H198 ].
% 43.27/43.48 apply (zenon_L101_); trivial.
% 43.27/43.48 apply (zenon_L102_); trivial.
% 43.27/43.48 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H17c | zenon_intro zenon_H194 ].
% 43.27/43.48 apply (zenon_L104_); trivial.
% 43.27/43.48 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H18f | zenon_intro zenon_H195 ].
% 43.27/43.48 apply (zenon_L132_); trivial.
% 43.27/43.48 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H119 | zenon_intro zenon_H185 ].
% 43.27/43.48 apply (zenon_L60_); trivial.
% 43.27/43.48 apply (zenon_L133_); trivial.
% 43.27/43.48 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H20 | zenon_intro zenon_H1a6 ].
% 43.27/43.48 exact (zenon_H21 zenon_H20).
% 43.27/43.48 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H151 | zenon_intro zenon_H1a7 ].
% 43.27/43.48 apply (zenon_L100_); trivial.
% 43.27/43.48 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H196 | zenon_intro zenon_H198 ].
% 43.27/43.48 apply (zenon_L101_); trivial.
% 43.27/43.48 apply (zenon_L102_); trivial.
% 43.27/43.48 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H20 | zenon_intro zenon_H1a6 ].
% 43.27/43.48 apply (zenon_L149_); trivial.
% 43.27/43.48 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H151 | zenon_intro zenon_H1a7 ].
% 43.27/43.48 apply (zenon_L100_); trivial.
% 43.27/43.48 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H196 | zenon_intro zenon_H198 ].
% 43.27/43.48 apply (zenon_L101_); trivial.
% 43.27/43.48 apply (zenon_L102_); trivial.
% 43.27/43.48 (* end of lemma zenon_L493_ *)
% 43.27/43.48 assert (zenon_L494_ : (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e22) (op2 (e22) (e20))) = (e20))) -> ((op2 (e20) (e21)) = (e20)) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((e20) = (e23))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> ((op1 (e11) (e10)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e10) (e11)) = (e10)) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((e10) = (e13))) -> ((e13) = (op1 (e12) (e12))) -> (~((h3 (op1 (e12) (e13))) = (op2 (h3 (e12)) (h3 (e13))))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e12)) = (e22)) -> ((h3 (e13)) = (op2 (e22) (e22))) -> ((e23) = (op2 (e22) (e22))) -> False).
% 43.27/43.48 do 0 intro. intros zenon_H27d zenon_H28a zenon_H7e zenon_H24d zenon_H80 zenon_H1c3 zenon_H50 zenon_H1a8 zenon_H40 zenon_H1b6 zenon_H42 zenon_H48 zenon_H3f9 zenon_H2b zenon_H2c zenon_H381 zenon_H30 zenon_H33.
% 43.27/43.48 apply (zenon_or_s _ _ zenon_H27d); [ zenon_intro zenon_H24a | zenon_intro zenon_H27e ].
% 43.27/43.48 apply (zenon_L188_); trivial.
% 43.27/43.48 apply (zenon_or_s _ _ zenon_H27e); [ zenon_intro zenon_H24e | zenon_intro zenon_H27f ].
% 43.27/43.48 apply (zenon_L171_); trivial.
% 43.27/43.48 apply (zenon_or_s _ _ zenon_H27f); [ zenon_intro zenon_H251 | zenon_intro zenon_H254 ].
% 43.27/43.48 apply (zenon_L173_); trivial.
% 43.27/43.48 apply (zenon_L488_); trivial.
% 43.27/43.48 (* end of lemma zenon_L494_ *)
% 43.27/43.48 assert (zenon_L495_ : (((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13)))))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> (~((op2 (e20) (e20)) = (e20))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> ((h3 (e12)) = (e22)) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> (~((h3 (op1 (e12) (e13))) = (op2 (h3 (e12)) (h3 (e13))))) -> ((e13) = (op1 (e12) (e12))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((e20) = (e23))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (op2 (e22) (e20))) = (e20))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (op2 (e22) (e23))) = (e23))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> False).
% 43.27/43.48 do 0 intro. intros zenon_Ha7 zenon_H29e zenon_H15 zenon_H30 zenon_H381 zenon_H2b zenon_H3f9 zenon_H48 zenon_H42 zenon_H1b6 zenon_H1a8 zenon_H1c3 zenon_H80 zenon_H24d zenon_H28a zenon_H27d zenon_H2c zenon_H204 zenon_H299 zenon_H253 zenon_H22b zenon_H290 zenon_H297 zenon_H33 zenon_H264.
% 43.27/43.48 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H40. zenon_intro zenon_Ha9.
% 43.27/43.48 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_H50. zenon_intro zenon_H28.
% 43.27/43.48 apply (zenon_or_s _ _ zenon_H29e); [ zenon_intro zenon_H14 | zenon_intro zenon_H29f ].
% 43.27/43.48 exact (zenon_H15 zenon_H14).
% 43.27/43.48 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H7e | zenon_intro zenon_H2a0 ].
% 43.27/43.48 apply (zenon_L494_); trivial.
% 43.27/43.48 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H205 | zenon_intro zenon_H212 ].
% 43.27/43.48 apply (zenon_L153_); trivial.
% 43.27/43.48 apply (zenon_L192_); trivial.
% 43.27/43.48 (* end of lemma zenon_L495_ *)
% 43.27/43.48 assert (zenon_L496_ : (((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13)))))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e20) (e20)) = (e20))) -> ((e13) = (op1 (e12) (e12))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((e10) = (e12))) -> (~((e10) = (e13))) -> (~((h3 (op1 (e12) (e13))) = (op2 (h3 (e12)) (h3 (e13))))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e12)) = (e22)) -> ((h3 (e13)) = (op2 (e22) (e22))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((e20) = (e23))) -> (~((e20) = (e22))) -> ((op2 (e22) (e21)) = (e22)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e22) (op2 (e22) (e20))) = (e20))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((e23) = (op2 (e22) (e22))) -> False).
% 43.27/43.48 do 0 intro. intros zenon_H112 zenon_H29c zenon_H15 zenon_H48 zenon_H60 zenon_Hb2 zenon_H1c3 zenon_H1a8 zenon_H17b zenon_H42 zenon_H3f9 zenon_H2b zenon_H381 zenon_H30 zenon_H21 zenon_H10d zenon_H80 zenon_H304 zenon_H282 zenon_H249 zenon_H27d zenon_H28a zenon_H20a zenon_H2c zenon_H33.
% 43.27/43.48 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H114. zenon_intro zenon_H113.
% 43.27/43.48 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_H67. zenon_intro zenon_Hee.
% 43.27/43.48 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_Hef. zenon_intro zenon_H115.
% 43.27/43.48 apply (zenon_or_s _ _ zenon_H29c); [ zenon_intro zenon_H14 | zenon_intro zenon_H2a1 ].
% 43.27/43.48 exact (zenon_H15 zenon_H14).
% 43.27/43.48 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H99 | zenon_intro zenon_H2a2 ].
% 43.27/43.48 apply (zenon_or_s _ _ zenon_H27d); [ zenon_intro zenon_H24a | zenon_intro zenon_H27e ].
% 43.27/43.48 apply (zenon_L170_); trivial.
% 43.27/43.48 apply (zenon_or_s _ _ zenon_H27e); [ zenon_intro zenon_H24e | zenon_intro zenon_H27f ].
% 43.27/43.48 apply (zenon_L312_); trivial.
% 43.27/43.48 apply (zenon_or_s _ _ zenon_H27f); [ zenon_intro zenon_H251 | zenon_intro zenon_H254 ].
% 43.27/43.48 apply (zenon_L173_); trivial.
% 43.27/43.48 apply (zenon_L490_); trivial.
% 43.27/43.48 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H24a | zenon_intro zenon_H20b ].
% 43.27/43.48 apply (zenon_L188_); trivial.
% 43.27/43.48 apply (zenon_L155_); trivial.
% 43.27/43.48 (* end of lemma zenon_L496_ *)
% 43.27/43.48 assert (zenon_L497_ : ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))))))))))))))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (op2 (e22) (e23))) = (e23))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> ((e23) = (op2 (e22) (e22))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (op2 (e22) (e20))) = (e20))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e22) (e21)) = (e22)) -> (~((e20) = (e22))) -> (~((e20) = (e23))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (e10))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> ((h3 (e12)) = (e22)) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> (~((h3 (op1 (e12) (e13))) = (op2 (h3 (e12)) (h3 (e13))))) -> (~((e10) = (e13))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((op2 (e20) (e20)) = (e20))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((e12) = (e13))) -> (~((op1 (e13) (e10)) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((e11) = (e13))) -> False).
% 43.27/43.48 do 0 intro. intros zenon_H142 zenon_H264 zenon_H297 zenon_H290 zenon_H22b zenon_H253 zenon_H299 zenon_H204 zenon_H24d zenon_H1b6 zenon_H29e zenon_Hac zenon_H15b zenon_H6a zenon_He8 zenon_H6f zenon_H5f zenon_H6e zenon_H33 zenon_H2c zenon_H20a zenon_H28a zenon_H27d zenon_H249 zenon_H282 zenon_H304 zenon_H80 zenon_H10d zenon_H21 zenon_H30 zenon_H381 zenon_H2b zenon_H3f9 zenon_H42 zenon_H17b zenon_H1a8 zenon_H1c3 zenon_Hb2 zenon_H60 zenon_H15 zenon_H29c zenon_H11a zenon_H123 zenon_H105 zenon_H133 zenon_H126 zenon_He0 zenon_H48 zenon_H57 zenon_Hc4 zenon_Hc1.
% 43.27/43.48 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H26 | zenon_intro zenon_H143 ].
% 43.27/43.48 apply (zenon_L8_); trivial.
% 43.27/43.48 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H144 ].
% 43.27/43.48 apply (zenon_L495_); trivial.
% 43.27/43.48 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H145 ].
% 43.27/43.48 apply (zenon_L34_); trivial.
% 43.27/43.48 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H146 ].
% 43.27/43.48 apply (zenon_L36_); trivial.
% 43.27/43.48 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hcd | zenon_intro zenon_H147 ].
% 43.27/43.48 apply (zenon_L330_); trivial.
% 43.27/43.48 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H148 ].
% 43.27/43.48 apply (zenon_L45_); trivial.
% 43.27/43.48 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_Hde | zenon_intro zenon_H149 ].
% 43.27/43.48 apply (zenon_L46_); trivial.
% 43.27/43.48 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_He6 | zenon_intro zenon_H14a ].
% 43.27/43.48 apply (zenon_L48_); trivial.
% 43.27/43.48 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Heb | zenon_intro zenon_H14b ].
% 43.27/43.48 apply (zenon_L51_); trivial.
% 43.27/43.48 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H112 | zenon_intro zenon_H14c ].
% 43.27/43.48 apply (zenon_L496_); trivial.
% 43.27/43.48 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H11d | zenon_intro zenon_H14d ].
% 43.27/43.48 apply (zenon_L61_); trivial.
% 43.27/43.48 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H11f | zenon_intro zenon_H14e ].
% 43.27/43.48 apply (zenon_L62_); trivial.
% 43.27/43.48 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H122 | zenon_intro zenon_H14f ].
% 43.27/43.48 apply (zenon_L63_); trivial.
% 43.27/43.48 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H132 | zenon_intro zenon_H150 ].
% 43.27/43.48 apply (zenon_L66_); trivial.
% 43.27/43.48 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H13b | zenon_intro zenon_H140 ].
% 43.27/43.48 apply (zenon_L67_); trivial.
% 43.27/43.48 apply (zenon_L70_); trivial.
% 43.27/43.48 (* end of lemma zenon_L497_ *)
% 43.27/43.48 assert (zenon_L498_ : (((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23)))))))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> ((e23) = (op2 (e22) (e22))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((e20) = (e22))) -> (~((e20) = (e23))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> ((h3 (e12)) = (e22)) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> (~((h3 (op1 (e12) (e13))) = (op2 (h3 (e12)) (h3 (e13))))) -> (~((op2 (e20) (e20)) = (e20))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (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) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e11) (e10)) = (e11)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (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)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e12) = (e13))) -> (~((e10) = (e12))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))))))))))))))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> False).
% 43.27/43.48 do 0 intro. intros zenon_H2a5 zenon_H1fe zenon_H264 zenon_H290 zenon_H22b zenon_H253 zenon_H299 zenon_H204 zenon_H24d zenon_H29e zenon_H33 zenon_H2c zenon_H20a zenon_H27d zenon_H249 zenon_H304 zenon_H80 zenon_H10d zenon_H30 zenon_H381 zenon_H2b zenon_H3f9 zenon_H15 zenon_H29c zenon_H19e zenon_H19f zenon_H1a4 zenon_H47 zenon_H1c3 zenon_H1a8 zenon_H1bf zenon_Hf6 zenon_H1ba zenon_H1b0 zenon_H1aa zenon_H1c8 zenon_H1d8 zenon_H37f zenon_H1b6 zenon_H1d2 zenon_H1be zenon_H1d3 zenon_H73 zenon_H1d5 zenon_H1c2 zenon_H1fc zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H1e4 zenon_H1e0 zenon_H1f4 zenon_H1f3 zenon_H1d9 zenon_H1db zenon_H169 zenon_H11a zenon_H17b zenon_H142 zenon_H152 zenon_Hac zenon_Hb2 zenon_H15c zenon_H126 zenon_H161 zenon_H18c zenon_H57 zenon_He0 zenon_H17f zenon_H66 zenon_H182 zenon_H189 zenon_H174 zenon_H16e zenon_H178 zenon_H105 zenon_Hc1 zenon_H6a zenon_He8 zenon_H5f zenon_H6e zenon_Hf9 zenon_Hca zenon_Hbd zenon_H166 zenon_H16b zenon_H192 zenon_H133 zenon_H42 zenon_H60 zenon_H48 zenon_Hc4.
% 43.27/43.48 apply (zenon_and_s _ _ zenon_H2a5). zenon_intro zenon_H282. zenon_intro zenon_H2a6.
% 43.27/43.48 apply (zenon_and_s _ _ zenon_H2a6). zenon_intro zenon_H23c. zenon_intro zenon_H248.
% 43.27/43.48 apply (zenon_and_s _ _ zenon_H248). zenon_intro zenon_H28a. zenon_intro zenon_H2a7.
% 43.27/43.48 apply (zenon_and_s _ _ zenon_H2a7). zenon_intro zenon_H2a9. zenon_intro zenon_H2a8.
% 43.27/43.48 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H2aa. zenon_intro zenon_H297.
% 43.27/43.48 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H21 | zenon_intro zenon_H1a5 ].
% 43.27/43.48 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H15b | zenon_intro zenon_H1a5 ].
% 43.27/43.48 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H6f | zenon_intro zenon_H193 ].
% 43.27/43.48 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H123 | zenon_intro zenon_H1a5 ].
% 43.27/43.48 apply (zenon_L497_); trivial.
% 43.27/43.48 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H20 | zenon_intro zenon_H1a6 ].
% 43.27/43.48 exact (zenon_H21 zenon_H20).
% 43.27/43.48 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H151 | zenon_intro zenon_H1a7 ].
% 43.27/43.48 apply (zenon_L100_); trivial.
% 43.27/43.48 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H196 | zenon_intro zenon_H198 ].
% 43.27/43.48 apply (zenon_L101_); trivial.
% 43.27/43.48 apply (zenon_L102_); trivial.
% 43.27/43.48 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H17c | zenon_intro zenon_H194 ].
% 43.27/43.48 apply (zenon_L104_); trivial.
% 43.27/43.48 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H18f | zenon_intro zenon_H195 ].
% 43.27/43.48 apply (zenon_L132_); trivial.
% 43.27/43.48 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H119 | zenon_intro zenon_H185 ].
% 43.27/43.48 apply (zenon_L60_); trivial.
% 43.27/43.48 apply (zenon_L133_); trivial.
% 43.27/43.48 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H20 | zenon_intro zenon_H1a6 ].
% 43.27/43.48 exact (zenon_H21 zenon_H20).
% 43.27/43.48 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H151 | zenon_intro zenon_H1a7 ].
% 43.27/43.48 apply (zenon_L100_); trivial.
% 43.27/43.48 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H196 | zenon_intro zenon_H198 ].
% 43.27/43.48 apply (zenon_L101_); trivial.
% 43.27/43.48 apply (zenon_L102_); trivial.
% 43.27/43.48 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H20 | zenon_intro zenon_H1a6 ].
% 43.27/43.48 apply (zenon_L149_); trivial.
% 43.27/43.48 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H151 | zenon_intro zenon_H1a7 ].
% 43.27/43.48 apply (zenon_L100_); trivial.
% 43.27/43.48 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H196 | zenon_intro zenon_H198 ].
% 43.27/43.48 apply (zenon_L101_); trivial.
% 43.27/43.48 apply (zenon_L102_); trivial.
% 43.27/43.48 (* end of lemma zenon_L498_ *)
% 43.27/43.48 assert (zenon_L499_ : ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> ((h3 (e12)) = (e22)) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> (~((h3 (op1 (e12) (e13))) = (op2 (h3 (e12)) (h3 (e13))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (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) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e11) (e10)) = (e11)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (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)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e12) = (e13))) -> (~((e10) = (e12))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))))))))))))))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op2 (e21) (e22)) = (e21))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((e21) = (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e22) = (e23))) -> (~((e20) = (e22))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))))))))))))))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((e21) = (e23))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e21) (e21)) = (e21)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (~((e20) = (e23))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> False).
% 43.27/43.48 do 0 intro. intros zenon_H337 zenon_H1fe zenon_H253 zenon_H299 zenon_H24d zenon_H29e zenon_H27d zenon_H249 zenon_H10d zenon_H30 zenon_H381 zenon_H2b zenon_H3f9 zenon_H29c zenon_H19e zenon_H19f zenon_H1a4 zenon_H47 zenon_H1c3 zenon_H1a8 zenon_H1bf zenon_Hf6 zenon_H1ba zenon_H1b0 zenon_H1aa zenon_H1c8 zenon_H1d8 zenon_H37f zenon_H1b6 zenon_H1d2 zenon_H1be zenon_H1d3 zenon_H73 zenon_H1d5 zenon_H1c2 zenon_H1fc zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H1e4 zenon_H1e0 zenon_H1f4 zenon_H1f3 zenon_H1d9 zenon_H1db zenon_H169 zenon_H11a zenon_H17b zenon_H142 zenon_H152 zenon_Hac zenon_Hb2 zenon_H15c zenon_H126 zenon_H161 zenon_H18c zenon_H57 zenon_He0 zenon_H17f zenon_H66 zenon_H182 zenon_H189 zenon_H174 zenon_H16e zenon_H178 zenon_H105 zenon_Hc1 zenon_H6a zenon_He8 zenon_H5f zenon_H6e zenon_Hf9 zenon_Hca zenon_Hbd zenon_H166 zenon_H16b zenon_H192 zenon_H133 zenon_H42 zenon_H60 zenon_H48 zenon_Hc4 zenon_H226 zenon_H15 zenon_H2f1 zenon_H22b zenon_H22a zenon_H26a zenon_H279 zenon_H288 zenon_H304 zenon_H2c7 zenon_H2d7 zenon_H204 zenon_H20a zenon_H2e6 zenon_H2eb zenon_H30b zenon_H30e zenon_H2fe zenon_H93 zenon_H31e zenon_H316 zenon_H311 zenon_H321 zenon_H264 zenon_H276 zenon_H23e zenon_H23a zenon_H234 zenon_H242 zenon_H290 zenon_H2e3 zenon_H2de zenon_H2ee zenon_H2f3 zenon_H32b zenon_H25d zenon_H2f9 zenon_H2f6 zenon_H301 zenon_H324 zenon_H32f zenon_H330 zenon_H80 zenon_H2c zenon_H33 zenon_H26e.
% 43.27/43.48 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H338 ].
% 43.27/43.48 apply (zenon_or_s _ _ zenon_H2c7); [ zenon_intro zenon_H1a | zenon_intro zenon_H2c8 ].
% 43.27/43.48 apply (zenon_L4_); trivial.
% 43.27/43.48 apply (zenon_or_s _ _ zenon_H2c8); [ zenon_intro zenon_H1fd | zenon_intro zenon_H2c9 ].
% 43.27/43.48 apply (zenon_L493_); trivial.
% 43.27/43.48 apply (zenon_or_s _ _ zenon_H2c9); [ zenon_intro zenon_H208 | zenon_intro zenon_H2ca ].
% 43.27/43.48 apply (zenon_L154_); trivial.
% 43.27/43.48 apply (zenon_or_s _ _ zenon_H2ca); [ zenon_intro zenon_H210 | zenon_intro zenon_H2cb ].
% 43.27/43.48 apply (zenon_L156_); trivial.
% 43.27/43.48 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H213 | zenon_intro zenon_H2cc ].
% 43.27/43.48 apply (zenon_L211_); trivial.
% 43.27/43.48 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H21b | zenon_intro zenon_H2cd ].
% 43.27/43.48 apply (zenon_L160_); trivial.
% 43.27/43.48 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H225 | zenon_intro zenon_H2ce ].
% 43.27/43.48 apply (zenon_L161_); trivial.
% 43.27/43.48 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H231 | zenon_intro zenon_H2cf ].
% 43.27/43.48 apply (zenon_L164_); trivial.
% 43.27/43.48 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_H245 | zenon_intro zenon_H2d0 ].
% 43.27/43.48 apply (zenon_L169_); trivial.
% 43.27/43.48 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H2a5 | zenon_intro zenon_H2d1 ].
% 43.27/43.48 apply (zenon_L498_); trivial.
% 43.27/43.48 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H2ae | zenon_intro zenon_H2d2 ].
% 43.27/43.48 apply (zenon_L198_); trivial.
% 43.27/43.48 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H2b0 | zenon_intro zenon_H2d3 ].
% 43.27/43.48 apply (zenon_L199_); trivial.
% 43.27/43.48 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H2b3 | zenon_intro zenon_H2d4 ].
% 43.27/43.48 apply (zenon_L200_); trivial.
% 43.27/43.48 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_H2bc | zenon_intro zenon_H2d5 ].
% 43.27/43.48 apply (zenon_L202_); trivial.
% 43.27/43.48 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2c5 ].
% 43.27/43.48 apply (zenon_L203_); trivial.
% 43.27/43.48 apply (zenon_L204_); trivial.
% 43.27/43.48 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ].
% 43.27/43.48 exact (zenon_H15 zenon_H14).
% 43.27/43.48 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ].
% 43.27/43.48 apply (zenon_L251_); trivial.
% 43.27/43.48 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ].
% 43.27/43.48 apply (zenon_L173_); trivial.
% 43.27/43.48 apply (zenon_L252_); trivial.
% 43.27/43.48 (* end of lemma zenon_L499_ *)
% 43.27/43.48 assert (zenon_L500_ : ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))))))))))))))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e20)) = (e21))) -> (~((e21) = (e22))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> ((op2 (e20) (e20)) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))))))))))))))))) -> (~((e10) = (e12))) -> (~((e12) = (e13))) -> (~((e11) = (e12))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (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 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((~((op1 (e11) (e10)) = (e11)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((h3 (op1 (e12) (e13))) = (op2 (h3 (e12)) (h3 (e13))))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e12)) = (e22)) -> ((h3 (e13)) = (op2 (e22) (e22))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((e20) = (e23))) -> (~((e20) = (e22))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((e22) = (e23))) -> (~((op2 (e23) (e20)) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((e21) = (e23))) -> False).
% 43.27/43.48 do 0 intro. intros zenon_H2c7 zenon_H2eb zenon_H214 zenon_H2f1 zenon_H30b zenon_H25a zenon_H30e zenon_Hc4 zenon_H48 zenon_H60 zenon_H42 zenon_H133 zenon_H192 zenon_H16b zenon_H166 zenon_Hbd zenon_Hca zenon_Hf9 zenon_H6e zenon_H5f zenon_He8 zenon_H6a zenon_Hc1 zenon_H105 zenon_H178 zenon_H16e zenon_H174 zenon_H189 zenon_H182 zenon_H66 zenon_H17f zenon_He0 zenon_H57 zenon_H18c zenon_H161 zenon_H126 zenon_H15c zenon_Hb2 zenon_Hac zenon_H152 zenon_H142 zenon_H17b zenon_H11a zenon_H169 zenon_H1db zenon_H1d9 zenon_H1f3 zenon_H1f4 zenon_H1e0 zenon_H1e4 zenon_H1ed zenon_H1ec zenon_H1f5 zenon_H1fc zenon_H1c2 zenon_H1d5 zenon_H73 zenon_H1d3 zenon_H1be zenon_H1d2 zenon_H1b6 zenon_H37f zenon_H1d8 zenon_H1c8 zenon_H1aa zenon_H1b0 zenon_H1ba zenon_Hf6 zenon_H1bf zenon_H1a8 zenon_H1c3 zenon_H47 zenon_H1a4 zenon_H19f zenon_H19e zenon_H29c zenon_H15 zenon_H3f9 zenon_H2b zenon_H381 zenon_H30 zenon_H10d zenon_H80 zenon_H304 zenon_H249 zenon_H27d zenon_H20a zenon_H2c zenon_H29e zenon_H24d zenon_H204 zenon_H299 zenon_H253 zenon_H290 zenon_H1fe zenon_H288 zenon_Ha3 zenon_H264 zenon_H279 zenon_H26a zenon_H22a zenon_H33 zenon_H22b zenon_H26e zenon_H276.
% 43.34/43.49 apply (zenon_or_s _ _ zenon_H2c7); [ zenon_intro zenon_H1a | zenon_intro zenon_H2c8 ].
% 43.34/43.49 apply (zenon_L227_); trivial.
% 43.34/43.49 apply (zenon_or_s _ _ zenon_H2c8); [ zenon_intro zenon_H1fd | zenon_intro zenon_H2c9 ].
% 43.34/43.49 apply (zenon_L493_); trivial.
% 43.34/43.49 apply (zenon_or_s _ _ zenon_H2c9); [ zenon_intro zenon_H208 | zenon_intro zenon_H2ca ].
% 43.34/43.49 apply (zenon_L154_); trivial.
% 43.34/43.49 apply (zenon_or_s _ _ zenon_H2ca); [ zenon_intro zenon_H210 | zenon_intro zenon_H2cb ].
% 43.34/43.49 apply (zenon_L156_); trivial.
% 43.34/43.49 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H213 | zenon_intro zenon_H2cc ].
% 43.34/43.49 apply (zenon_L157_); trivial.
% 43.34/43.49 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H21b | zenon_intro zenon_H2cd ].
% 43.34/43.49 apply (zenon_L160_); trivial.
% 43.34/43.49 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H225 | zenon_intro zenon_H2ce ].
% 43.34/43.49 apply (zenon_L255_); trivial.
% 43.34/43.49 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H231 | zenon_intro zenon_H2cf ].
% 43.34/43.49 apply (zenon_L164_); trivial.
% 43.34/43.49 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_H245 | zenon_intro zenon_H2d0 ].
% 43.34/43.49 apply (zenon_L232_); trivial.
% 43.34/43.49 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H2a5 | zenon_intro zenon_H2d1 ].
% 43.34/43.49 apply (zenon_L498_); trivial.
% 43.34/43.49 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H2ae | zenon_intro zenon_H2d2 ].
% 43.34/43.49 apply (zenon_L198_); trivial.
% 43.34/43.49 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H2b0 | zenon_intro zenon_H2d3 ].
% 43.34/43.49 apply (zenon_L199_); trivial.
% 43.34/43.49 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H2b3 | zenon_intro zenon_H2d4 ].
% 43.34/43.49 apply (zenon_L200_); trivial.
% 43.34/43.49 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_H2bc | zenon_intro zenon_H2d5 ].
% 43.34/43.49 apply (zenon_L202_); trivial.
% 43.34/43.49 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2c5 ].
% 43.34/43.49 apply (zenon_L203_); trivial.
% 43.34/43.49 apply (zenon_L204_); trivial.
% 43.34/43.49 (* end of lemma zenon_L500_ *)
% 43.34/43.49 assert (zenon_L501_ : (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) 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(e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))))))))))))))))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e20)) = (e20))) -> ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (e21))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e20)) = (e21)) -> ((~((op2 (e22) (e20)) = (e22)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((e22) = (e23))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((e21) = (e22))) -> False).
% 43.34/43.49 do 0 intro. intros zenon_Hc4 zenon_H48 zenon_H60 zenon_H42 zenon_H133 zenon_H192 zenon_H16b zenon_H166 zenon_Hbd zenon_Hca zenon_Hf9 zenon_H6e zenon_H5f zenon_He8 zenon_H6a zenon_Hc1 zenon_H105 zenon_H178 zenon_H16e zenon_H174 zenon_H189 zenon_H182 zenon_H66 zenon_H17f zenon_He0 zenon_H57 zenon_H18c zenon_H161 zenon_H126 zenon_H15c zenon_Hb2 zenon_Hac zenon_H152 zenon_H142 zenon_H17b zenon_H11a zenon_H169 zenon_H1db zenon_H1d9 zenon_H1f3 zenon_H1f4 zenon_H1e0 zenon_H1e4 zenon_H1ed zenon_H1ec zenon_H1f5 zenon_H1fc zenon_H1c2 zenon_H1d5 zenon_H73 zenon_H1d3 zenon_H1be zenon_H1d2 zenon_H1b6 zenon_H37f zenon_H1d8 zenon_H1c8 zenon_H1aa zenon_H1b0 zenon_H1ba zenon_Hf6 zenon_H1bf zenon_H1a8 zenon_H1c3 zenon_H47 zenon_H1a4 zenon_H19f zenon_H19e zenon_H29c zenon_H3f9 zenon_H2b zenon_H381 zenon_H30 zenon_H10d zenon_H29e zenon_H299 zenon_H1fe zenon_H2c zenon_H80 zenon_H330 zenon_H32f zenon_H324 zenon_H301 zenon_H2f6 zenon_H2f9 zenon_H25d zenon_H32b zenon_H2f3 zenon_H2ee zenon_H2de zenon_H2e3 zenon_H290 zenon_H242 zenon_H234 zenon_H23a zenon_H23e zenon_H276 zenon_H264 zenon_H321 zenon_H311 zenon_H316 zenon_H31e zenon_H93 zenon_H2fe zenon_H30e zenon_H30b zenon_H2eb zenon_H2e6 zenon_H20a zenon_H204 zenon_H2d7 zenon_H2c7 zenon_H304 zenon_H15 zenon_H337 zenon_H352 zenon_H33d zenon_H24d zenon_H349 zenon_H27d zenon_H342 zenon_H260 zenon_H253 zenon_H33c zenon_H27c zenon_H33e zenon_H85 zenon_H214 zenon_H29d zenon_H345 zenon_H249 zenon_H9c zenon_H256 zenon_H309 zenon_H354 zenon_H288 zenon_H279 zenon_H26a zenon_H22a zenon_H33 zenon_H22b zenon_H26e zenon_H2f1.
% 43.34/43.49 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H226 | zenon_intro zenon_H32c ].
% 43.34/43.49 apply (zenon_L499_); trivial.
% 43.34/43.49 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H25a | zenon_intro zenon_H32d ].
% 43.34/43.49 apply (zenon_L230_); trivial.
% 43.34/43.49 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H328 | zenon_intro zenon_H32e ].
% 43.34/43.49 apply (zenon_L296_); trivial.
% 43.34/43.49 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H2ab | zenon_intro zenon_H31a ].
% 43.34/43.49 apply (zenon_L197_); trivial.
% 43.34/43.49 apply (zenon_L245_); trivial.
% 43.34/43.49 (* end of lemma zenon_L501_ *)
% 43.34/43.49 assert (zenon_L502_ : ((~((op2 (e21) (e20)) = (e21)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> ((~((op2 (e22) (e20)) = (e22)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> ((op2 (e20) (e20)) = (e21)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> ((h3 (e12)) = (e22)) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> (~((h3 (op1 (e12) (e13))) = (op2 (h3 (e12)) (h3 (e13))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (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) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e11) (e10)) = (e11)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (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)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e12) = (e13))) -> (~((e10) = (e12))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) 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(e23))) = (e23))))))))))))))))))))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((e21) = (e23))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e21) (e21)) = (e21)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (~((e20) = (e23))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> False).
% 43.34/43.49 do 0 intro. intros zenon_H33b zenon_H354 zenon_H309 zenon_H256 zenon_H9c zenon_H249 zenon_H345 zenon_H29d zenon_H85 zenon_H33e zenon_H27c zenon_H33c zenon_H253 zenon_H260 zenon_H342 zenon_H27d zenon_H349 zenon_H24d zenon_H33d zenon_H352 zenon_H337 zenon_H1fe zenon_H299 zenon_H29e zenon_H10d zenon_H30 zenon_H381 zenon_H2b zenon_H3f9 zenon_H29c zenon_H19e zenon_H19f zenon_H1a4 zenon_H47 zenon_H1c3 zenon_H1a8 zenon_H1bf zenon_Hf6 zenon_H1ba zenon_H1b0 zenon_H1aa zenon_H1c8 zenon_H1d8 zenon_H37f zenon_H1b6 zenon_H1d2 zenon_H1be zenon_H1d3 zenon_H73 zenon_H1d5 zenon_H1c2 zenon_H1fc zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H1e4 zenon_H1e0 zenon_H1f4 zenon_H1f3 zenon_H1d9 zenon_H1db zenon_H169 zenon_H11a zenon_H17b zenon_H142 zenon_H152 zenon_Hac zenon_Hb2 zenon_H15c zenon_H126 zenon_H161 zenon_H18c zenon_H57 zenon_He0 zenon_H17f zenon_H66 zenon_H182 zenon_H189 zenon_H174 zenon_H16e zenon_H178 zenon_H105 zenon_Hc1 zenon_H6a zenon_He8 zenon_H5f zenon_H6e zenon_Hf9 zenon_Hca zenon_Hbd zenon_H166 zenon_H16b zenon_H192 zenon_H133 zenon_H42 zenon_H60 zenon_H48 zenon_Hc4 zenon_H15 zenon_H2f1 zenon_H22b zenon_H22a zenon_H26a zenon_H279 zenon_H288 zenon_H304 zenon_H2c7 zenon_H2d7 zenon_H204 zenon_H20a zenon_H2e6 zenon_H2eb zenon_H30b zenon_H30e zenon_H2fe zenon_H93 zenon_H31e zenon_H316 zenon_H311 zenon_H321 zenon_H264 zenon_H276 zenon_H23e zenon_H23a zenon_H234 zenon_H242 zenon_H290 zenon_H2e3 zenon_H2de zenon_H2ee zenon_H2f3 zenon_H32b zenon_H25d zenon_H2f9 zenon_H2f6 zenon_H301 zenon_H324 zenon_H32f zenon_H330 zenon_H80 zenon_H2c zenon_H33 zenon_H26e.
% 43.34/43.49 apply (zenon_or_s _ _ zenon_H33b); [ zenon_intro zenon_H214 | zenon_intro zenon_H338 ].
% 43.34/43.49 apply (zenon_L501_); trivial.
% 43.34/43.49 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ].
% 43.34/43.49 exact (zenon_H15 zenon_H14).
% 43.34/43.49 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ].
% 43.34/43.49 apply (zenon_L251_); trivial.
% 43.34/43.49 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ].
% 43.34/43.49 apply (zenon_L173_); trivial.
% 43.34/43.49 apply (zenon_L252_); trivial.
% 43.34/43.49 (* end of lemma zenon_L502_ *)
% 43.34/43.49 assert (zenon_L503_ : ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))))))))))))))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e20)) = (e21))) -> (~((e21) = (e22))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e20)) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))))))))))))))))) -> (~((e10) = (e12))) -> (~((e12) = (e13))) -> (~((e11) = (e12))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (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 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((~((op1 (e11) (e10)) = (e11)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((h3 (op1 (e12) (e13))) = (op2 (h3 (e12)) (h3 (e13))))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e12)) = (e22)) -> ((h3 (e13)) = (op2 (e22) (e22))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((e20) = (e23))) -> (~((e20) = (e22))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((e22) = (e23))) -> (~((op2 (e23) (e20)) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> ((op2 (e23) (e23)) = (e21)) -> (~((e21) = (e23))) -> False).
% 43.34/43.49 do 0 intro. intros zenon_H2c7 zenon_H26a zenon_H2eb zenon_H214 zenon_H2f1 zenon_H30b zenon_H22a zenon_H25a zenon_H30e zenon_Hc4 zenon_H48 zenon_H60 zenon_H42 zenon_H133 zenon_H192 zenon_H16b zenon_H166 zenon_Hbd zenon_Hca zenon_Hf9 zenon_H6e zenon_H5f zenon_He8 zenon_H6a zenon_Hc1 zenon_H105 zenon_H178 zenon_H16e zenon_H174 zenon_H189 zenon_H182 zenon_H66 zenon_H17f zenon_He0 zenon_H57 zenon_H18c zenon_H161 zenon_H126 zenon_H15c zenon_Hb2 zenon_Hac zenon_H152 zenon_H142 zenon_H17b zenon_H11a zenon_H169 zenon_H1db zenon_H1d9 zenon_H1f3 zenon_H1f4 zenon_H1e0 zenon_H1e4 zenon_H1ed zenon_H1ec zenon_H1f5 zenon_H1fc zenon_H1c2 zenon_H1d5 zenon_H73 zenon_H1d3 zenon_H1be zenon_H1d2 zenon_H1b6 zenon_H37f zenon_H1d8 zenon_H1c8 zenon_H1aa zenon_H1b0 zenon_H1ba zenon_Hf6 zenon_H1bf zenon_H1a8 zenon_H1c3 zenon_H47 zenon_H1a4 zenon_H19f zenon_H19e zenon_H29c zenon_H15 zenon_H3f9 zenon_H2b zenon_H381 zenon_H30 zenon_H10d zenon_H80 zenon_H304 zenon_H249 zenon_H27d zenon_H20a zenon_H2c zenon_H29e zenon_H24d zenon_H204 zenon_H299 zenon_H253 zenon_H22b zenon_H290 zenon_H1fe zenon_H288 zenon_Ha3 zenon_H264 zenon_H33 zenon_H274 zenon_H276.
% 43.34/43.49 apply (zenon_or_s _ _ zenon_H2c7); [ zenon_intro zenon_H1a | zenon_intro zenon_H2c8 ].
% 43.34/43.49 apply (zenon_L4_); trivial.
% 43.34/43.49 apply (zenon_or_s _ _ zenon_H2c8); [ zenon_intro zenon_H1fd | zenon_intro zenon_H2c9 ].
% 43.34/43.49 apply (zenon_L493_); trivial.
% 43.34/43.49 apply (zenon_or_s _ _ zenon_H2c9); [ zenon_intro zenon_H208 | zenon_intro zenon_H2ca ].
% 43.34/43.49 apply (zenon_L154_); trivial.
% 43.34/43.49 apply (zenon_or_s _ _ zenon_H2ca); [ zenon_intro zenon_H210 | zenon_intro zenon_H2cb ].
% 43.34/43.49 apply (zenon_L156_); trivial.
% 43.34/43.49 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H213 | zenon_intro zenon_H2cc ].
% 43.34/43.49 apply (zenon_L157_); trivial.
% 43.34/43.49 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H21b | zenon_intro zenon_H2cd ].
% 43.34/43.49 apply (zenon_L160_); trivial.
% 43.34/43.49 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H225 | zenon_intro zenon_H2ce ].
% 43.34/43.49 apply (zenon_L255_); trivial.
% 43.34/43.49 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H231 | zenon_intro zenon_H2cf ].
% 43.34/43.49 apply (zenon_L164_); trivial.
% 43.34/43.49 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_H245 | zenon_intro zenon_H2d0 ].
% 43.34/43.49 apply (zenon_L232_); trivial.
% 43.34/43.49 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H2a5 | zenon_intro zenon_H2d1 ].
% 43.34/43.49 apply (zenon_L498_); trivial.
% 43.34/43.49 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H2ae | zenon_intro zenon_H2d2 ].
% 43.34/43.49 apply (zenon_L198_); trivial.
% 43.34/43.49 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H2b0 | zenon_intro zenon_H2d3 ].
% 43.34/43.49 apply (zenon_L199_); trivial.
% 43.34/43.49 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H2b3 | zenon_intro zenon_H2d4 ].
% 43.34/43.50 apply (zenon_L200_); trivial.
% 43.34/43.50 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_H2bc | zenon_intro zenon_H2d5 ].
% 43.34/43.50 apply (zenon_L240_); trivial.
% 43.34/43.50 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2c5 ].
% 43.34/43.50 apply (zenon_L203_); trivial.
% 43.34/43.50 apply (zenon_L241_); trivial.
% 43.34/43.50 (* end of lemma zenon_L503_ *)
% 43.34/43.50 assert (zenon_L504_ : ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> ((op2 (e23) (e23)) = (e21)) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> ((h3 (e12)) = (e22)) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> (~((h3 (op1 (e12) (e13))) = (op2 (h3 (e12)) (h3 (e13))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (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) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e11) (e10)) = (e11)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 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(e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))))))))))))))))) -> ((~((op2 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> ((~((op2 (e21) (e21)) = (e21)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (~((e20) = (e23))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> False).
% 43.34/43.50 do 0 intro. intros zenon_H337 zenon_H274 zenon_H1fe zenon_H253 zenon_H299 zenon_H24d zenon_H29e zenon_H27d zenon_H249 zenon_H10d zenon_H30 zenon_H381 zenon_H2b zenon_H3f9 zenon_H29c zenon_H19e zenon_H19f zenon_H1a4 zenon_H47 zenon_H1c3 zenon_H1a8 zenon_H1bf zenon_Hf6 zenon_H1ba zenon_H1b0 zenon_H1aa zenon_H1c8 zenon_H1d8 zenon_H37f zenon_H1b6 zenon_H1d2 zenon_H1be zenon_H1d3 zenon_H73 zenon_H1d5 zenon_H1c2 zenon_H1fc zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H1e4 zenon_H1e0 zenon_H1f4 zenon_H1f3 zenon_H1d9 zenon_H1db zenon_H169 zenon_H11a zenon_H17b zenon_H142 zenon_H152 zenon_Hac zenon_Hb2 zenon_H15c zenon_H126 zenon_H161 zenon_H18c zenon_H57 zenon_He0 zenon_H17f zenon_H66 zenon_H182 zenon_H189 zenon_H174 zenon_H16e zenon_H178 zenon_H105 zenon_Hc1 zenon_H6a zenon_He8 zenon_H5f zenon_H6e zenon_Hf9 zenon_Hca zenon_Hbd zenon_H166 zenon_H16b zenon_H192 zenon_H133 zenon_H42 zenon_H60 zenon_H48 zenon_Hc4 zenon_H214 zenon_H15 zenon_H276 zenon_H264 zenon_H321 zenon_H311 zenon_H316 zenon_H288 zenon_H31e zenon_H25a zenon_H93 zenon_H2fe zenon_H2f1 zenon_H30e zenon_H22a zenon_H22b zenon_H30b zenon_H2eb zenon_H26a zenon_H2e6 zenon_H20a zenon_H204 zenon_H2d7 zenon_H2c7 zenon_H32f zenon_H324 zenon_H301 zenon_H2f6 zenon_H2f9 zenon_H25d zenon_H32b zenon_H2f3 zenon_H2ee zenon_H2de zenon_H2e3 zenon_H290 zenon_H242 zenon_H234 zenon_H23a zenon_H23e zenon_H304 zenon_H279 zenon_H330 zenon_H80 zenon_H2c zenon_H33 zenon_H26e.
% 43.34/43.50 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H338 ].
% 43.34/43.50 apply (zenon_L503_); trivial.
% 43.34/43.50 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ].
% 43.34/43.50 exact (zenon_H15 zenon_H14).
% 43.34/43.50 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ].
% 43.34/43.50 apply (zenon_L258_); trivial.
% 43.34/43.50 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ].
% 43.34/43.50 apply (zenon_L173_); trivial.
% 43.34/43.50 apply (zenon_L252_); trivial.
% 43.34/43.50 (* end of lemma zenon_L504_ *)
% 43.34/43.50 assert (zenon_L505_ : (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))))))))))))))))) -> (~((e10) = (e12))) -> (~((e12) = (e13))) -> (~((e11) = (e12))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (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 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((~((op1 (e11) (e10)) = (e11)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((h3 (op1 (e12) (e13))) = (op2 (h3 (e12)) (h3 (e13))))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e12)) = (e22)) -> ((h3 (e13)) = (op2 (e22) (e22))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (~((e20) = (e23))) -> ((~((op2 (e21) (e21)) = (e21)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((e21) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((e20) = (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))))))))))))))))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e20)) = (e20))) -> ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> ((op2 (e23) (e23)) = (e21)) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e20)) = (e21))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((~((op2 (e22) (e20)) = (e22)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((e22) = (e23))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((e21) = (e22))) -> False).
% 43.34/43.50 do 0 intro. intros zenon_Hc4 zenon_H48 zenon_H60 zenon_H42 zenon_H133 zenon_H192 zenon_H16b zenon_H166 zenon_Hbd zenon_Hca zenon_Hf9 zenon_H6e zenon_H5f zenon_He8 zenon_H6a zenon_Hc1 zenon_H105 zenon_H178 zenon_H16e zenon_H174 zenon_H189 zenon_H182 zenon_H66 zenon_H17f zenon_He0 zenon_H57 zenon_H18c zenon_H161 zenon_H126 zenon_H15c zenon_Hb2 zenon_Hac zenon_H152 zenon_H142 zenon_H17b zenon_H11a zenon_H169 zenon_H1db zenon_H1d9 zenon_H1f3 zenon_H1f4 zenon_H1e0 zenon_H1e4 zenon_H1ed zenon_H1ec zenon_H1f5 zenon_H1fc zenon_H1c2 zenon_H1d5 zenon_H73 zenon_H1d3 zenon_H1be zenon_H1d2 zenon_H1b6 zenon_H37f zenon_H1d8 zenon_H1c8 zenon_H1aa zenon_H1b0 zenon_H1ba zenon_Hf6 zenon_H1bf zenon_H1a8 zenon_H1c3 zenon_H47 zenon_H1a4 zenon_H19f zenon_H19e zenon_H29c zenon_H3f9 zenon_H2b zenon_H381 zenon_H30 zenon_H10d zenon_H29e zenon_H299 zenon_H1fe zenon_H2c zenon_H80 zenon_H330 zenon_H32f zenon_H324 zenon_H301 zenon_H2f6 zenon_H2f9 zenon_H25d zenon_H32b zenon_H2f3 zenon_H2ee zenon_H2de zenon_H2e3 zenon_H290 zenon_H242 zenon_H234 zenon_H23a zenon_H23e zenon_H276 zenon_H264 zenon_H321 zenon_H311 zenon_H316 zenon_H31e zenon_H93 zenon_H2fe zenon_H30e zenon_H30b zenon_H2eb zenon_H2e6 zenon_H20a zenon_H204 zenon_H2d7 zenon_H2c7 zenon_H304 zenon_H15 zenon_H337 zenon_H274 zenon_H352 zenon_H33d zenon_H214 zenon_H349 zenon_H27d zenon_H24d zenon_H342 zenon_H260 zenon_H253 zenon_H33c zenon_H27c zenon_H33e zenon_H85 zenon_H29d zenon_H345 zenon_H249 zenon_H9c zenon_H256 zenon_H354 zenon_H288 zenon_H279 zenon_H26a zenon_H22a zenon_H33 zenon_H22b zenon_H26e zenon_H2f1.
% 43.34/43.50 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H226 | zenon_intro zenon_H32c ].
% 43.34/43.50 apply (zenon_L499_); trivial.
% 43.34/43.50 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H25a | zenon_intro zenon_H32d ].
% 43.34/43.50 apply (zenon_L504_); trivial.
% 43.34/43.50 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H328 | zenon_intro zenon_H32e ].
% 43.34/43.50 apply (zenon_L302_); trivial.
% 43.34/43.50 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H2ab | zenon_intro zenon_H31a ].
% 43.34/43.50 apply (zenon_L197_); trivial.
% 43.34/43.50 apply (zenon_L245_); trivial.
% 43.34/43.50 (* end of lemma zenon_L505_ *)
% 43.34/43.50 assert (zenon_L506_ : ((~((op2 (e21) (e20)) = (e21)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> ((~((op2 (e22) (e20)) = (e22)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e23) (e23)) = (e21)) -> ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> ((h3 (e12)) = (e22)) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> (~((h3 (op1 (e12) (e13))) = (op2 (h3 (e12)) (h3 (e13))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (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) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e11) (e10)) = (e11)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (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)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e12) = (e13))) -> (~((e10) = (e12))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))))))))))))))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((e21) = (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e22) = (e23))) -> (~((e20) = (e22))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))))))))))))))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((e21) = (e23))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e21) (e21)) = (e21)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (~((e20) = (e23))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> False).
% 43.34/43.50 do 0 intro. intros zenon_H33b zenon_H354 zenon_H256 zenon_H9c zenon_H249 zenon_H345 zenon_H29d zenon_H85 zenon_H33e zenon_H27c zenon_H33c zenon_H253 zenon_H260 zenon_H342 zenon_H24d zenon_H27d zenon_H349 zenon_H33d zenon_H352 zenon_H274 zenon_H337 zenon_H1fe zenon_H299 zenon_H29e zenon_H10d zenon_H30 zenon_H381 zenon_H2b zenon_H3f9 zenon_H29c zenon_H19e zenon_H19f zenon_H1a4 zenon_H47 zenon_H1c3 zenon_H1a8 zenon_H1bf zenon_Hf6 zenon_H1ba zenon_H1b0 zenon_H1aa zenon_H1c8 zenon_H1d8 zenon_H37f zenon_H1b6 zenon_H1d2 zenon_H1be zenon_H1d3 zenon_H73 zenon_H1d5 zenon_H1c2 zenon_H1fc zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H1e4 zenon_H1e0 zenon_H1f4 zenon_H1f3 zenon_H1d9 zenon_H1db zenon_H169 zenon_H11a zenon_H17b zenon_H142 zenon_H152 zenon_Hac zenon_Hb2 zenon_H15c zenon_H126 zenon_H161 zenon_H18c zenon_H57 zenon_He0 zenon_H17f zenon_H66 zenon_H182 zenon_H189 zenon_H174 zenon_H16e zenon_H178 zenon_H105 zenon_Hc1 zenon_H6a zenon_He8 zenon_H5f zenon_H6e zenon_Hf9 zenon_Hca zenon_Hbd zenon_H166 zenon_H16b zenon_H192 zenon_H133 zenon_H42 zenon_H60 zenon_H48 zenon_Hc4 zenon_H15 zenon_H2f1 zenon_H22b zenon_H22a zenon_H26a zenon_H279 zenon_H288 zenon_H304 zenon_H2c7 zenon_H2d7 zenon_H204 zenon_H20a zenon_H2e6 zenon_H2eb zenon_H30b zenon_H30e zenon_H2fe zenon_H93 zenon_H31e zenon_H316 zenon_H311 zenon_H321 zenon_H264 zenon_H276 zenon_H23e zenon_H23a zenon_H234 zenon_H242 zenon_H290 zenon_H2e3 zenon_H2de zenon_H2ee zenon_H2f3 zenon_H32b zenon_H25d zenon_H2f9 zenon_H2f6 zenon_H301 zenon_H324 zenon_H32f zenon_H330 zenon_H80 zenon_H2c zenon_H33 zenon_H26e.
% 43.34/43.50 apply (zenon_or_s _ _ zenon_H33b); [ zenon_intro zenon_H214 | zenon_intro zenon_H338 ].
% 43.34/43.50 apply (zenon_L505_); trivial.
% 43.34/43.50 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ].
% 43.34/43.50 exact (zenon_H15 zenon_H14).
% 43.34/43.50 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ].
% 43.34/43.50 apply (zenon_L251_); trivial.
% 43.34/43.50 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ].
% 43.34/43.50 apply (zenon_L173_); trivial.
% 43.34/43.50 apply (zenon_L252_); trivial.
% 43.34/43.50 (* end of lemma zenon_L506_ *)
% 43.34/43.50 assert (zenon_L507_ : ((op2 (e20) (e20)) = (e22)) -> (~((op2 (e21) (e20)) = (e21))) -> (~((op2 (e21) (e21)) = (e21))) -> ((~((op2 (e21) (e20)) = (e21)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> ((~((op2 (e22) (e20)) = (e22)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> ((h3 (e12)) = (e22)) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> (~((h3 (op1 (e12) (e13))) = (op2 (h3 (e12)) (h3 (e13))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (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) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = 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(e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((e21) = (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) 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(e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))))))))))))))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((e21) = (e23))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e21) (e21)) = (e21)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (~((e20) = (e23))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> False).
% 43.34/43.50 do 0 intro. intros zenon_H25a zenon_H214 zenon_H21a zenon_H33b zenon_H354 zenon_H256 zenon_H9c zenon_H249 zenon_H345 zenon_H29d zenon_H85 zenon_H33e zenon_H27c zenon_H33c zenon_H253 zenon_H260 zenon_H342 zenon_H24d zenon_H27d zenon_H349 zenon_H33d zenon_H352 zenon_H337 zenon_H1fe zenon_H299 zenon_H29e zenon_H10d zenon_H30 zenon_H381 zenon_H2b zenon_H3f9 zenon_H29c zenon_H19e zenon_H19f zenon_H1a4 zenon_H47 zenon_H1c3 zenon_H1a8 zenon_H1bf zenon_Hf6 zenon_H1ba zenon_H1b0 zenon_H1aa zenon_H1c8 zenon_H1d8 zenon_H37f zenon_H1b6 zenon_H1d2 zenon_H1be zenon_H1d3 zenon_H73 zenon_H1d5 zenon_H1c2 zenon_H1fc zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H1e4 zenon_H1e0 zenon_H1f4 zenon_H1f3 zenon_H1d9 zenon_H1db zenon_H169 zenon_H11a zenon_H17b zenon_H142 zenon_H152 zenon_Hac zenon_Hb2 zenon_H15c zenon_H126 zenon_H161 zenon_H18c zenon_H57 zenon_He0 zenon_H17f zenon_H66 zenon_H182 zenon_H189 zenon_H174 zenon_H16e zenon_H178 zenon_H105 zenon_Hc1 zenon_H6a zenon_He8 zenon_H5f zenon_H6e zenon_Hf9 zenon_Hca zenon_Hbd zenon_H166 zenon_H16b zenon_H192 zenon_H133 zenon_H42 zenon_H60 zenon_H48 zenon_Hc4 zenon_H15 zenon_H2f1 zenon_H22b zenon_H22a zenon_H26a zenon_H279 zenon_H288 zenon_H304 zenon_H2c7 zenon_H2d7 zenon_H204 zenon_H20a zenon_H2e6 zenon_H2eb zenon_H30b zenon_H30e zenon_H2fe zenon_H93 zenon_H31e zenon_H316 zenon_H311 zenon_H321 zenon_H264 zenon_H276 zenon_H23e zenon_H23a zenon_H234 zenon_H242 zenon_H290 zenon_H2e3 zenon_H2de zenon_H2ee zenon_H2f3 zenon_H32b zenon_H25d zenon_H2f9 zenon_H2f6 zenon_H301 zenon_H324 zenon_H32f zenon_H330 zenon_H80 zenon_H2c zenon_H33 zenon_H26e.
% 43.34/43.50 apply (zenon_or_s _ _ zenon_H32f); [ zenon_intro zenon_H310 | zenon_intro zenon_H325 ].
% 43.34/43.50 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H338 ].
% 43.34/43.50 apply (zenon_L500_); trivial.
% 43.34/43.50 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ].
% 43.34/43.50 exact (zenon_H15 zenon_H14).
% 43.34/43.50 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ].
% 43.34/43.50 apply (zenon_L243_); trivial.
% 43.34/43.50 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ].
% 43.34/43.50 apply (zenon_L173_); trivial.
% 43.34/43.50 apply (zenon_L252_); trivial.
% 43.34/43.50 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H309 | zenon_intro zenon_H326 ].
% 43.34/43.50 apply (zenon_L502_); trivial.
% 43.34/43.50 apply (zenon_or_s _ _ zenon_H326); [ zenon_intro zenon_H219 | zenon_intro zenon_H327 ].
% 43.34/43.50 exact (zenon_H21a zenon_H219).
% 43.34/43.50 apply (zenon_or_s _ _ zenon_H327); [ zenon_intro zenon_H2e1 | zenon_intro zenon_H274 ].
% 43.34/43.50 apply (zenon_L209_); trivial.
% 43.34/43.50 apply (zenon_L506_); trivial.
% 43.34/43.50 (* end of lemma zenon_L507_ *)
% 43.34/43.50 assert (zenon_L508_ : ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((e21) = (e23))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((e22) = (e23))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op2 (e22) (e23)) = (op2 (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 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((e20) = (e22))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> ((h3 (e12)) = (e22)) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> (~((h3 (op1 (e12) (e13))) = (op2 (h3 (e12)) (h3 (e13))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (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) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e11) (e10)) = (e11)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (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)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e12) = (e13))) -> (~((e10) = (e12))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))))))))))))))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e20) (e20)) = (e22)) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((e21) = (e22))) -> (~((op2 (e21) (e20)) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))))))))))))))))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((e20) = (e21))) -> ((op2 (e21) (e21)) = (e21)) -> (~((e20) = (e23))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> False).
% 43.34/43.50 do 0 intro. intros zenon_H337 zenon_H276 zenon_H22b zenon_H22a zenon_H26a zenon_H279 zenon_H264 zenon_H288 zenon_H1fe zenon_H290 zenon_H253 zenon_H299 zenon_H204 zenon_H24d zenon_H29e zenon_H20a zenon_H27d zenon_H249 zenon_H304 zenon_H10d zenon_H30 zenon_H381 zenon_H2b zenon_H3f9 zenon_H29c zenon_H19e zenon_H19f zenon_H1a4 zenon_H47 zenon_H1c3 zenon_H1a8 zenon_H1bf zenon_Hf6 zenon_H1ba zenon_H1b0 zenon_H1aa zenon_H1c8 zenon_H1d8 zenon_H37f zenon_H1b6 zenon_H1d2 zenon_H1be zenon_H1d3 zenon_H73 zenon_H1d5 zenon_H1c2 zenon_H1fc zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H1e4 zenon_H1e0 zenon_H1f4 zenon_H1f3 zenon_H1d9 zenon_H1db zenon_H169 zenon_H11a zenon_H17b zenon_H142 zenon_H152 zenon_Hac zenon_Hb2 zenon_H15c zenon_H126 zenon_H161 zenon_H18c zenon_H57 zenon_He0 zenon_H17f zenon_H66 zenon_H182 zenon_H189 zenon_H174 zenon_H16e zenon_H178 zenon_H105 zenon_Hc1 zenon_H6a zenon_He8 zenon_H5f zenon_H6e zenon_Hf9 zenon_Hca zenon_Hbd zenon_H166 zenon_H16b zenon_H192 zenon_H133 zenon_H42 zenon_H60 zenon_H48 zenon_Hc4 zenon_H30e zenon_H25a zenon_H30b zenon_H2f1 zenon_H214 zenon_H2eb zenon_H2c7 zenon_H15 zenon_H2e6 zenon_H219 zenon_H80 zenon_H2c zenon_H33 zenon_H26e.
% 43.34/43.50 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H338 ].
% 43.34/43.50 apply (zenon_L500_); trivial.
% 43.34/43.50 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ].
% 43.34/43.50 exact (zenon_H15 zenon_H14).
% 43.34/43.50 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ].
% 43.34/43.50 apply (zenon_L212_); trivial.
% 43.34/43.50 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ].
% 43.34/43.50 apply (zenon_L173_); trivial.
% 43.34/43.50 apply (zenon_L252_); trivial.
% 43.34/43.50 (* end of lemma zenon_L508_ *)
% 43.34/43.50 assert (zenon_L509_ : ((~((op2 (e21) (e21)) = (e21)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (~((e20) = (e23))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e20)) = (e20))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))))))))))))))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e20)) = (e21))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))))))))))))))))) -> (~((e10) = (e12))) -> (~((e12) = (e13))) -> (~((e11) = (e12))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (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 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((~((op1 (e11) (e10)) = (e11)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((h3 (op1 (e12) (e13))) = (op2 (h3 (e12)) (h3 (e13))))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e12)) = (e22)) -> ((h3 (e13)) = (op2 (e22) (e22))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((e20) = (e22))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((e21) = (e23))) -> ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> ((op2 (e21) (e21)) = (e21)) -> (~((e22) = (e23))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((e21) = (e22))) -> False).
% 43.34/43.50 do 0 intro. intros zenon_H330 zenon_H32f zenon_H324 zenon_H301 zenon_H2f6 zenon_H2f9 zenon_H25d zenon_H32b zenon_H2f3 zenon_H2ee zenon_H2de zenon_H2e3 zenon_H242 zenon_H234 zenon_H23a zenon_H23e zenon_H321 zenon_H311 zenon_H316 zenon_H31e zenon_H93 zenon_H2fe zenon_H2d7 zenon_H2c zenon_H80 zenon_H2e6 zenon_H15 zenon_H2c7 zenon_H2eb zenon_H214 zenon_H30b zenon_H30e zenon_Hc4 zenon_H48 zenon_H60 zenon_H42 zenon_H133 zenon_H192 zenon_H16b zenon_H166 zenon_Hbd zenon_Hca zenon_Hf9 zenon_H6e zenon_H5f zenon_He8 zenon_H6a zenon_Hc1 zenon_H105 zenon_H178 zenon_H16e zenon_H174 zenon_H189 zenon_H182 zenon_H66 zenon_H17f zenon_He0 zenon_H57 zenon_H18c zenon_H161 zenon_H126 zenon_H15c zenon_Hb2 zenon_Hac zenon_H152 zenon_H142 zenon_H17b zenon_H11a zenon_H169 zenon_H1db zenon_H1d9 zenon_H1f3 zenon_H1f4 zenon_H1e0 zenon_H1e4 zenon_H1ed zenon_H1ec zenon_H1f5 zenon_H1fc zenon_H1c2 zenon_H1d5 zenon_H73 zenon_H1d3 zenon_H1be zenon_H1d2 zenon_H1b6 zenon_H37f zenon_H1d8 zenon_H1c8 zenon_H1aa zenon_H1b0 zenon_H1ba zenon_Hf6 zenon_H1bf zenon_H1a8 zenon_H1c3 zenon_H47 zenon_H1a4 zenon_H19f zenon_H19e zenon_H29c zenon_H3f9 zenon_H2b zenon_H381 zenon_H30 zenon_H10d zenon_H304 zenon_H249 zenon_H27d zenon_H20a zenon_H29e zenon_H24d zenon_H204 zenon_H299 zenon_H253 zenon_H290 zenon_H1fe zenon_H264 zenon_H276 zenon_H337 zenon_H219 zenon_H288 zenon_H279 zenon_H26a zenon_H22a zenon_H33 zenon_H22b zenon_H26e zenon_H2f1.
% 43.34/43.50 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H226 | zenon_intro zenon_H32c ].
% 43.34/43.50 apply (zenon_L499_); trivial.
% 43.34/43.50 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H25a | zenon_intro zenon_H32d ].
% 43.34/43.50 apply (zenon_L508_); trivial.
% 43.34/43.50 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H328 | zenon_intro zenon_H32e ].
% 43.34/43.50 apply (zenon_L270_); trivial.
% 43.34/43.50 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H2ab | zenon_intro zenon_H31a ].
% 43.34/43.50 apply (zenon_L197_); trivial.
% 43.34/43.50 apply (zenon_L245_); trivial.
% 43.34/43.50 (* end of lemma zenon_L509_ *)
% 43.34/43.50 assert (zenon_L510_ : ((h3 (e12)) = (e22)) -> ((op1 (e13) (e10)) = (e12)) -> (~((e22) = (h3 (op1 (e13) (e10))))) -> False).
% 43.34/43.50 do 0 intro. intros zenon_H381 zenon_H1a2 zenon_H405.
% 43.34/43.50 elim (classic ((h3 (op1 (e13) (e10))) = (h3 (op1 (e13) (e10))))); [ zenon_intro zenon_H406 | zenon_intro zenon_H407 ].
% 43.34/43.50 cut (((h3 (op1 (e13) (e10))) = (h3 (op1 (e13) (e10)))) = ((e22) = (h3 (op1 (e13) (e10))))).
% 43.34/43.50 intro zenon_D_pnotp.
% 43.34/43.50 apply zenon_H405.
% 43.34/43.50 rewrite <- zenon_D_pnotp.
% 43.34/43.50 exact zenon_H406.
% 43.34/43.50 cut (((h3 (op1 (e13) (e10))) = (h3 (op1 (e13) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H407].
% 43.34/43.50 cut (((h3 (op1 (e13) (e10))) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H408].
% 43.34/43.50 congruence.
% 43.34/43.50 cut (((h3 (e12)) = (e22)) = ((h3 (op1 (e13) (e10))) = (e22))).
% 43.34/43.50 intro zenon_D_pnotp.
% 43.34/43.50 apply zenon_H408.
% 43.34/43.50 rewrite <- zenon_D_pnotp.
% 43.34/43.50 exact zenon_H381.
% 43.34/43.50 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H201].
% 43.34/43.50 cut (((h3 (e12)) = (h3 (op1 (e13) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H409].
% 43.34/43.50 congruence.
% 43.34/43.50 elim (classic ((h3 (op1 (e13) (e10))) = (h3 (op1 (e13) (e10))))); [ zenon_intro zenon_H406 | zenon_intro zenon_H407 ].
% 43.34/43.50 cut (((h3 (op1 (e13) (e10))) = (h3 (op1 (e13) (e10)))) = ((h3 (e12)) = (h3 (op1 (e13) (e10))))).
% 43.34/43.50 intro zenon_D_pnotp.
% 43.34/43.50 apply zenon_H409.
% 43.34/43.50 rewrite <- zenon_D_pnotp.
% 43.34/43.50 exact zenon_H406.
% 43.34/43.50 cut (((h3 (op1 (e13) (e10))) = (h3 (op1 (e13) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H407].
% 43.34/43.50 cut (((h3 (op1 (e13) (e10))) = (h3 (e12)))); [idtac | apply NNPP; zenon_intro zenon_H40a].
% 43.34/43.50 congruence.
% 43.34/43.50 cut (((op1 (e13) (e10)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H40b].
% 43.34/43.50 congruence.
% 43.34/43.50 exact (zenon_H40b zenon_H1a2).
% 43.34/43.50 apply zenon_H407. apply refl_equal.
% 43.34/43.50 apply zenon_H407. apply refl_equal.
% 43.34/43.51 apply zenon_H201. apply refl_equal.
% 43.34/43.51 apply zenon_H407. apply refl_equal.
% 43.34/43.51 apply zenon_H407. apply refl_equal.
% 43.34/43.51 (* end of lemma zenon_L510_ *)
% 43.34/43.51 assert (zenon_L511_ : ((op2 (e23) (e20)) = (e22)) -> ((h3 (e13)) = (op2 (e22) (e22))) -> ((e23) = (op2 (e22) (e22))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e12)) = (e22)) -> ((op1 (e13) (e10)) = (e12)) -> (~((h3 (op1 (e13) (e10))) = (op2 (h3 (e13)) (h3 (e10))))) -> False).
% 43.34/43.51 do 0 intro. intros zenon_H35f zenon_H30 zenon_H33 zenon_H2b zenon_H2c zenon_H381 zenon_H1a2 zenon_H40c.
% 43.34/43.51 elim (classic ((op2 (h3 (e13)) (h3 (e10))) = (op2 (h3 (e13)) (h3 (e10))))); [ zenon_intro zenon_H40d | zenon_intro zenon_H40e ].
% 43.34/43.51 cut (((op2 (h3 (e13)) (h3 (e10))) = (op2 (h3 (e13)) (h3 (e10)))) = ((h3 (op1 (e13) (e10))) = (op2 (h3 (e13)) (h3 (e10))))).
% 43.34/43.51 intro zenon_D_pnotp.
% 43.34/43.51 apply zenon_H40c.
% 43.34/43.51 rewrite <- zenon_D_pnotp.
% 43.34/43.51 exact zenon_H40d.
% 43.34/43.51 cut (((op2 (h3 (e13)) (h3 (e10))) = (op2 (h3 (e13)) (h3 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H40e].
% 43.34/43.51 cut (((op2 (h3 (e13)) (h3 (e10))) = (h3 (op1 (e13) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H40f].
% 43.34/43.51 congruence.
% 43.34/43.51 cut (((op2 (e23) (e20)) = (e22)) = ((op2 (h3 (e13)) (h3 (e10))) = (h3 (op1 (e13) (e10))))).
% 43.34/43.51 intro zenon_D_pnotp.
% 43.34/43.51 apply zenon_H40f.
% 43.34/43.51 rewrite <- zenon_D_pnotp.
% 43.34/43.51 exact zenon_H35f.
% 43.34/43.51 cut (((e22) = (h3 (op1 (e13) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H405].
% 43.34/43.51 cut (((op2 (e23) (e20)) = (op2 (h3 (e13)) (h3 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H410].
% 43.34/43.51 congruence.
% 43.34/43.51 elim (classic ((op2 (h3 (e13)) (h3 (e10))) = (op2 (h3 (e13)) (h3 (e10))))); [ zenon_intro zenon_H40d | zenon_intro zenon_H40e ].
% 43.34/43.51 cut (((op2 (h3 (e13)) (h3 (e10))) = (op2 (h3 (e13)) (h3 (e10)))) = ((op2 (e23) (e20)) = (op2 (h3 (e13)) (h3 (e10))))).
% 43.34/43.51 intro zenon_D_pnotp.
% 43.34/43.51 apply zenon_H410.
% 43.34/43.51 rewrite <- zenon_D_pnotp.
% 43.34/43.51 exact zenon_H40d.
% 43.34/43.51 cut (((op2 (h3 (e13)) (h3 (e10))) = (op2 (h3 (e13)) (h3 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H40e].
% 43.34/43.51 cut (((op2 (h3 (e13)) (h3 (e10))) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H411].
% 43.34/43.51 congruence.
% 43.34/43.51 cut (((h3 (e10)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H2a].
% 43.34/43.51 cut (((h3 (e13)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H38f].
% 43.34/43.51 congruence.
% 43.34/43.51 apply (zenon_L350_); trivial.
% 43.34/43.51 apply (zenon_L9_); trivial.
% 43.34/43.51 apply zenon_H40e. apply refl_equal.
% 43.34/43.51 apply zenon_H40e. apply refl_equal.
% 43.34/43.51 apply (zenon_L510_); trivial.
% 43.34/43.51 apply zenon_H40e. apply refl_equal.
% 43.34/43.51 apply zenon_H40e. apply refl_equal.
% 43.34/43.51 (* end of lemma zenon_L511_ *)
% 43.34/43.51 assert (zenon_L512_ : (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e13) (e10)) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (e11))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e12) (e10)) = (e12))) -> ((op2 (e23) (e20)) = (e22)) -> ((h3 (e13)) = (op2 (e22) (e22))) -> ((e23) = (op2 (e22) (e22))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e12)) = (e22)) -> (~((h3 (op1 (e13) (e10))) = (op2 (h3 (e13)) (h3 (e10))))) -> False).
% 43.34/43.51 do 0 intro. intros zenon_H412 zenon_H123 zenon_H19f zenon_H126 zenon_H57 zenon_Hb2 zenon_H19e zenon_H48 zenon_H6a zenon_H5f zenon_H6f zenon_H60 zenon_H6e zenon_H11c zenon_H1e0 zenon_He8 zenon_H1e4 zenon_H1b1 zenon_H35f zenon_H30 zenon_H33 zenon_H2b zenon_H2c zenon_H381 zenon_H40c.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H412); [ zenon_intro zenon_H17c | zenon_intro zenon_H413 ].
% 43.34/43.51 apply (zenon_L103_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H413); [ zenon_intro zenon_H1df | zenon_intro zenon_H414 ].
% 43.34/43.51 apply (zenon_L142_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H414); [ zenon_intro zenon_Hed | zenon_intro zenon_H1a2 ].
% 43.34/43.51 exact (zenon_H1b1 zenon_Hed).
% 43.34/43.51 apply (zenon_L511_); trivial.
% 43.34/43.51 (* end of lemma zenon_L512_ *)
% 43.34/43.51 assert (zenon_L513_ : (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((h3 (op1 (e13) (e10))) = (op2 (h3 (e13)) (h3 (e10))))) -> ((h3 (e12)) = (e22)) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((e23) = (op2 (e22) (e22))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> (~((op1 (e12) (e10)) = (e12))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e12)) = (e12))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((e13) = (op1 (e12) (e12))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (e13))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op2 (e23) (e20)) = (e23))) -> False).
% 43.34/43.51 do 0 intro. intros zenon_H415 zenon_H20a zenon_H22b zenon_H26a zenon_H40c zenon_H381 zenon_H2c zenon_H2b zenon_H33 zenon_H30 zenon_H1b1 zenon_H1e4 zenon_He8 zenon_H1e0 zenon_H11c zenon_H6e zenon_H60 zenon_H6f zenon_H5f zenon_H6a zenon_H48 zenon_H19e zenon_Hb2 zenon_H57 zenon_H126 zenon_H19f zenon_H123 zenon_H412 zenon_Ha3.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H415); [ zenon_intro zenon_H20b | zenon_intro zenon_H416 ].
% 43.34/43.51 apply (zenon_L155_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H416); [ zenon_intro zenon_H26b | zenon_intro zenon_H417 ].
% 43.34/43.51 apply (zenon_L180_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H417); [ zenon_intro zenon_H35f | zenon_intro zenon_Ha6 ].
% 43.34/43.51 apply (zenon_L512_); trivial.
% 43.34/43.51 exact (zenon_Ha3 zenon_Ha6).
% 43.34/43.51 (* end of lemma zenon_L513_ *)
% 43.34/43.51 assert (zenon_L514_ : ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op2 (e23) (e20)) = (e23))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e12) (e10)) = (e12))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> ((e23) = (op2 (e22) (e22))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e12)) = (e22)) -> (~((h3 (op1 (e13) (e10))) = (op2 (h3 (e13)) (h3 (e10))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op1 (e10) (e10)) = (e10))) -> (~((e11) = (e12))) -> (~((e12) = (e13))) -> (~((e10) = (e12))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))))))))))))))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> False).
% 43.34/43.51 do 0 intro. intros zenon_H1a4 zenon_Ha3 zenon_H412 zenon_H19f zenon_H19e zenon_H6f zenon_H11c zenon_H1e0 zenon_H1e4 zenon_H1b1 zenon_H30 zenon_H33 zenon_H2b zenon_H2c zenon_H381 zenon_H40c zenon_H26a zenon_H22b zenon_H20a zenon_H415 zenon_H21 zenon_H169 zenon_H11a zenon_H17b zenon_H142 zenon_H152 zenon_Hac zenon_Hb2 zenon_H15c zenon_H126 zenon_H161 zenon_H18c zenon_H57 zenon_He0 zenon_H17f zenon_H66 zenon_H182 zenon_H189 zenon_H174 zenon_H16e zenon_H178 zenon_H105 zenon_Hc1 zenon_H6a zenon_He8 zenon_H5f zenon_H6e zenon_Hf9 zenon_Hca zenon_Hbd zenon_H166 zenon_H16b zenon_H192 zenon_H133 zenon_H42 zenon_H60 zenon_H48 zenon_Hc4.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H123 | zenon_intro zenon_H1a5 ].
% 43.34/43.51 apply (zenon_L513_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H20 | zenon_intro zenon_H1a6 ].
% 43.34/43.51 exact (zenon_H21 zenon_H20).
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H151 | zenon_intro zenon_H1a7 ].
% 43.34/43.51 apply (zenon_L100_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H196 | zenon_intro zenon_H198 ].
% 43.34/43.51 apply (zenon_L101_); trivial.
% 43.34/43.51 apply (zenon_L102_); trivial.
% 43.34/43.51 (* end of lemma zenon_L514_ *)
% 43.34/43.51 assert (zenon_L515_ : ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op2 (e23) (e20)) = (e23))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> ((e23) = (op2 (e22) (e22))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e12)) = (e22)) -> (~((h3 (op1 (e13) (e10))) = (op2 (h3 (e13)) (h3 (e10))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (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)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e12) = (e13))) -> (~((e10) = (e12))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))))))))))))))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> False).
% 43.34/43.51 do 0 intro. intros zenon_H1fe zenon_H1d8 zenon_H1c8 zenon_H1aa zenon_H1b0 zenon_H1ba zenon_Hf6 zenon_H1bf zenon_H1a8 zenon_H1c3 zenon_H47 zenon_H1a4 zenon_H19f zenon_H19e zenon_Ha3 zenon_H412 zenon_H30 zenon_H33 zenon_H2b zenon_H2c zenon_H381 zenon_H40c zenon_H26a zenon_H22b zenon_H20a zenon_H415 zenon_H1b6 zenon_H1d2 zenon_H1be zenon_H1d3 zenon_H73 zenon_H1d5 zenon_H1c2 zenon_H1fc zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H1e4 zenon_H1e0 zenon_H1f4 zenon_H1f3 zenon_H1d9 zenon_H1db zenon_H169 zenon_H11a zenon_H17b zenon_H142 zenon_H152 zenon_Hac zenon_Hb2 zenon_H15c zenon_H126 zenon_H161 zenon_H18c zenon_H57 zenon_He0 zenon_H17f zenon_H66 zenon_H182 zenon_H189 zenon_H174 zenon_H16e zenon_H178 zenon_H105 zenon_Hc1 zenon_H6a zenon_He8 zenon_H5f zenon_H6e zenon_Hf9 zenon_Hca zenon_Hbd zenon_H166 zenon_H16b zenon_H192 zenon_H133 zenon_H42 zenon_H60 zenon_H48 zenon_Hc4.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H21 | zenon_intro zenon_H1a5 ].
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H6f | zenon_intro zenon_H193 ].
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H1d8); [ zenon_intro zenon_H1b1 | zenon_intro zenon_H1a5 ].
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H11c | zenon_intro zenon_H193 ].
% 43.34/43.51 apply (zenon_L514_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H17c | zenon_intro zenon_H194 ].
% 43.34/43.51 apply (zenon_L104_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H18f | zenon_intro zenon_H195 ].
% 43.34/43.51 apply (zenon_L131_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H119 | zenon_intro zenon_H185 ].
% 43.34/43.51 apply (zenon_L60_); trivial.
% 43.34/43.51 apply (zenon_L133_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H20 | zenon_intro zenon_H1a6 ].
% 43.34/43.51 exact (zenon_H21 zenon_H20).
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H151 | zenon_intro zenon_H1a7 ].
% 43.34/43.51 apply (zenon_L100_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H196 | zenon_intro zenon_H198 ].
% 43.34/43.51 apply (zenon_L101_); trivial.
% 43.34/43.51 apply (zenon_L102_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H17c | zenon_intro zenon_H194 ].
% 43.34/43.51 apply (zenon_L104_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H18f | zenon_intro zenon_H195 ].
% 43.34/43.51 apply (zenon_L132_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H119 | zenon_intro zenon_H185 ].
% 43.34/43.51 apply (zenon_L60_); trivial.
% 43.34/43.51 apply (zenon_L133_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H20 | zenon_intro zenon_H1a6 ].
% 43.34/43.51 apply (zenon_L149_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H151 | zenon_intro zenon_H1a7 ].
% 43.34/43.51 apply (zenon_L100_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H196 | zenon_intro zenon_H198 ].
% 43.34/43.51 apply (zenon_L101_); trivial.
% 43.34/43.51 apply (zenon_L102_); trivial.
% 43.34/43.51 (* end of lemma zenon_L515_ *)
% 43.34/43.51 assert (zenon_L516_ : ((h3 (e13)) = (op2 (e22) (e22))) -> ((op1 (e13) (e11)) = (e13)) -> ((e23) = (op2 (e22) (e22))) -> (~((e23) = (h3 (op1 (e13) (e11))))) -> False).
% 43.34/43.51 do 0 intro. intros zenon_H30 zenon_H12c zenon_H33 zenon_H418.
% 43.34/43.51 elim (classic ((h3 (op1 (e13) (e11))) = (h3 (op1 (e13) (e11))))); [ zenon_intro zenon_H419 | zenon_intro zenon_H41a ].
% 43.34/43.51 cut (((h3 (op1 (e13) (e11))) = (h3 (op1 (e13) (e11)))) = ((e23) = (h3 (op1 (e13) (e11))))).
% 43.34/43.51 intro zenon_D_pnotp.
% 43.34/43.51 apply zenon_H418.
% 43.34/43.51 rewrite <- zenon_D_pnotp.
% 43.34/43.51 exact zenon_H419.
% 43.34/43.51 cut (((h3 (op1 (e13) (e11))) = (h3 (op1 (e13) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H41a].
% 43.34/43.51 cut (((h3 (op1 (e13) (e11))) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H41b].
% 43.34/43.51 congruence.
% 43.34/43.51 cut (((h3 (e13)) = (op2 (e22) (e22))) = ((h3 (op1 (e13) (e11))) = (e23))).
% 43.34/43.51 intro zenon_D_pnotp.
% 43.34/43.51 apply zenon_H41b.
% 43.34/43.51 rewrite <- zenon_D_pnotp.
% 43.34/43.51 exact zenon_H30.
% 43.34/43.51 cut (((op2 (e22) (e22)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H203].
% 43.34/43.51 cut (((h3 (e13)) = (h3 (op1 (e13) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H41c].
% 43.34/43.51 congruence.
% 43.34/43.51 elim (classic ((h3 (op1 (e13) (e11))) = (h3 (op1 (e13) (e11))))); [ zenon_intro zenon_H419 | zenon_intro zenon_H41a ].
% 43.34/43.51 cut (((h3 (op1 (e13) (e11))) = (h3 (op1 (e13) (e11)))) = ((h3 (e13)) = (h3 (op1 (e13) (e11))))).
% 43.34/43.51 intro zenon_D_pnotp.
% 43.34/43.51 apply zenon_H41c.
% 43.34/43.51 rewrite <- zenon_D_pnotp.
% 43.34/43.51 exact zenon_H419.
% 43.34/43.51 cut (((h3 (op1 (e13) (e11))) = (h3 (op1 (e13) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H41a].
% 43.34/43.51 cut (((h3 (op1 (e13) (e11))) = (h3 (e13)))); [idtac | apply NNPP; zenon_intro zenon_H41d].
% 43.34/43.51 congruence.
% 43.34/43.51 cut (((op1 (e13) (e11)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H131].
% 43.34/43.51 congruence.
% 43.34/43.51 exact (zenon_H131 zenon_H12c).
% 43.34/43.51 apply zenon_H41a. apply refl_equal.
% 43.34/43.51 apply zenon_H41a. apply refl_equal.
% 43.34/43.51 apply zenon_H203. apply sym_equal. exact zenon_H33.
% 43.34/43.51 apply zenon_H41a. apply refl_equal.
% 43.34/43.51 apply zenon_H41a. apply refl_equal.
% 43.34/43.51 (* end of lemma zenon_L516_ *)
% 43.34/43.51 assert (zenon_L517_ : ((op2 (e23) (e21)) = (e23)) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> ((e23) = (op2 (e22) (e22))) -> ((op1 (e13) (e11)) = (e13)) -> (~((h3 (op1 (e13) (e11))) = (op2 (h3 (e13)) (h3 (e11))))) -> False).
% 43.34/43.51 do 0 intro. intros zenon_H2b6 zenon_H36f zenon_H22b zenon_H30 zenon_H33 zenon_H12c zenon_H41e.
% 43.34/43.51 elim (classic ((op2 (h3 (e13)) (h3 (e11))) = (op2 (h3 (e13)) (h3 (e11))))); [ zenon_intro zenon_H41f | zenon_intro zenon_H420 ].
% 43.34/43.51 cut (((op2 (h3 (e13)) (h3 (e11))) = (op2 (h3 (e13)) (h3 (e11)))) = ((h3 (op1 (e13) (e11))) = (op2 (h3 (e13)) (h3 (e11))))).
% 43.34/43.51 intro zenon_D_pnotp.
% 43.34/43.51 apply zenon_H41e.
% 43.34/43.51 rewrite <- zenon_D_pnotp.
% 43.34/43.51 exact zenon_H41f.
% 43.34/43.51 cut (((op2 (h3 (e13)) (h3 (e11))) = (op2 (h3 (e13)) (h3 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H420].
% 43.34/43.51 cut (((op2 (h3 (e13)) (h3 (e11))) = (h3 (op1 (e13) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H421].
% 43.34/43.51 congruence.
% 43.34/43.51 cut (((op2 (e23) (e21)) = (e23)) = ((op2 (h3 (e13)) (h3 (e11))) = (h3 (op1 (e13) (e11))))).
% 43.34/43.51 intro zenon_D_pnotp.
% 43.34/43.51 apply zenon_H421.
% 43.34/43.51 rewrite <- zenon_D_pnotp.
% 43.34/43.51 exact zenon_H2b6.
% 43.34/43.51 cut (((e23) = (h3 (op1 (e13) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H418].
% 43.34/43.51 cut (((op2 (e23) (e21)) = (op2 (h3 (e13)) (h3 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H422].
% 43.34/43.51 congruence.
% 43.34/43.51 elim (classic ((op2 (h3 (e13)) (h3 (e11))) = (op2 (h3 (e13)) (h3 (e11))))); [ zenon_intro zenon_H41f | zenon_intro zenon_H420 ].
% 43.34/43.51 cut (((op2 (h3 (e13)) (h3 (e11))) = (op2 (h3 (e13)) (h3 (e11)))) = ((op2 (e23) (e21)) = (op2 (h3 (e13)) (h3 (e11))))).
% 43.34/43.51 intro zenon_D_pnotp.
% 43.34/43.51 apply zenon_H422.
% 43.34/43.51 rewrite <- zenon_D_pnotp.
% 43.34/43.51 exact zenon_H41f.
% 43.34/43.51 cut (((op2 (h3 (e13)) (h3 (e11))) = (op2 (h3 (e13)) (h3 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H420].
% 43.34/43.51 cut (((op2 (h3 (e13)) (h3 (e11))) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H423].
% 43.34/43.51 congruence.
% 43.34/43.51 cut (((h3 (e11)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H36e].
% 43.34/43.51 cut (((h3 (e13)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H38f].
% 43.34/43.51 congruence.
% 43.34/43.51 apply (zenon_L350_); trivial.
% 43.34/43.51 apply (zenon_L327_); trivial.
% 43.34/43.51 apply zenon_H420. apply refl_equal.
% 43.34/43.51 apply zenon_H420. apply refl_equal.
% 43.34/43.51 apply (zenon_L516_); trivial.
% 43.34/43.51 apply zenon_H420. apply refl_equal.
% 43.34/43.51 apply zenon_H420. apply refl_equal.
% 43.34/43.51 (* end of lemma zenon_L517_ *)
% 43.34/43.51 assert (zenon_L518_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (e13))) -> (~((h3 (op1 (e13) (e11))) = (op2 (h3 (e13)) (h3 (e11))))) -> ((e23) = (op2 (e22) (e22))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((op2 (e23) (e21)) = (e23)) -> (~((op1 (e13) (e12)) = (e13))) -> ((op1 (e13) (e13)) = (e11)) -> (~((e11) = (e13))) -> False).
% 43.34/43.51 do 0 intro. intros zenon_H424 zenon_H123 zenon_H41e zenon_H33 zenon_H30 zenon_H22b zenon_H36f zenon_H2b6 zenon_H425 zenon_H12b zenon_Hc1.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H424); [ zenon_intro zenon_H125 | zenon_intro zenon_H426 ].
% 43.34/43.51 exact (zenon_H123 zenon_H125).
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H426); [ zenon_intro zenon_H12c | zenon_intro zenon_H427 ].
% 43.34/43.51 apply (zenon_L517_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H427); [ zenon_intro zenon_H13d | zenon_intro zenon_H13e ].
% 43.34/43.51 exact (zenon_H425 zenon_H13d).
% 43.34/43.51 apply (zenon_L68_); trivial.
% 43.34/43.51 (* end of lemma zenon_L518_ *)
% 43.34/43.51 assert (zenon_L519_ : ((e23) = (op2 (e22) (e22))) -> ((op2 (e23) (e22)) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> False).
% 43.34/43.51 do 0 intro. intros zenon_H33 zenon_H2c4 zenon_H428.
% 43.34/43.51 elim (classic ((op2 (e23) (e22)) = (op2 (e23) (e22)))); [ zenon_intro zenon_H271 | zenon_intro zenon_H272 ].
% 43.34/43.51 cut (((op2 (e23) (e22)) = (op2 (e23) (e22))) = ((op2 (e22) (e22)) = (op2 (e23) (e22)))).
% 43.34/43.51 intro zenon_D_pnotp.
% 43.34/43.51 apply zenon_H428.
% 43.34/43.51 rewrite <- zenon_D_pnotp.
% 43.34/43.51 exact zenon_H271.
% 43.34/43.51 cut (((op2 (e23) (e22)) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H272].
% 43.34/43.51 cut (((op2 (e23) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H429].
% 43.34/43.51 congruence.
% 43.34/43.51 cut (((e23) = (op2 (e22) (e22))) = ((op2 (e23) (e22)) = (op2 (e22) (e22)))).
% 43.34/43.51 intro zenon_D_pnotp.
% 43.34/43.51 apply zenon_H429.
% 43.34/43.51 rewrite <- zenon_D_pnotp.
% 43.34/43.51 exact zenon_H33.
% 43.34/43.51 cut (((op2 (e22) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H87].
% 43.34/43.51 cut (((e23) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H42a].
% 43.34/43.51 congruence.
% 43.34/43.51 elim (classic ((op2 (e23) (e22)) = (op2 (e23) (e22)))); [ zenon_intro zenon_H271 | zenon_intro zenon_H272 ].
% 43.34/43.51 cut (((op2 (e23) (e22)) = (op2 (e23) (e22))) = ((e23) = (op2 (e23) (e22)))).
% 43.34/43.51 intro zenon_D_pnotp.
% 43.34/43.51 apply zenon_H42a.
% 43.34/43.51 rewrite <- zenon_D_pnotp.
% 43.34/43.51 exact zenon_H271.
% 43.34/43.51 cut (((op2 (e23) (e22)) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H272].
% 43.34/43.51 cut (((op2 (e23) (e22)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H42b].
% 43.34/43.51 congruence.
% 43.34/43.51 exact (zenon_H42b zenon_H2c4).
% 43.34/43.51 apply zenon_H272. apply refl_equal.
% 43.34/43.51 apply zenon_H272. apply refl_equal.
% 43.34/43.51 apply zenon_H87. apply refl_equal.
% 43.34/43.51 apply zenon_H272. apply refl_equal.
% 43.34/43.51 apply zenon_H272. apply refl_equal.
% 43.34/43.51 (* end of lemma zenon_L519_ *)
% 43.34/43.51 assert (zenon_L520_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (e23))) -> (~((e11) = (e13))) -> (~((op1 (e13) (e12)) = (e13))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> (~((h3 (op1 (e13) (e11))) = (op2 (h3 (e13)) (h3 (e11))))) -> (~((op1 (e13) (e10)) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((e23) = (op2 (e22) (e22))) -> ((op2 (e23) (e23)) = (e21)) -> (~((e21) = (e23))) -> False).
% 43.34/43.51 do 0 intro. intros zenon_H42c zenon_Ha3 zenon_Hc1 zenon_H425 zenon_H36f zenon_H22b zenon_H30 zenon_H41e zenon_H123 zenon_H424 zenon_Hc4 zenon_H57 zenon_H48 zenon_He0 zenon_H126 zenon_H133 zenon_H428 zenon_H33 zenon_H274 zenon_H276.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H42c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H42d ].
% 43.34/43.51 exact (zenon_Ha3 zenon_Ha6).
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H42d); [ zenon_intro zenon_H2b6 | zenon_intro zenon_H42e ].
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H127 | zenon_intro zenon_H139 ].
% 43.34/43.51 apply (zenon_L64_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_He1 | zenon_intro zenon_H13a ].
% 43.34/43.51 apply (zenon_L47_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H12b ].
% 43.34/43.51 apply (zenon_L40_); trivial.
% 43.34/43.51 apply (zenon_L518_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H42e); [ zenon_intro zenon_H2c4 | zenon_intro zenon_H275 ].
% 43.34/43.51 apply (zenon_L519_); trivial.
% 43.34/43.51 apply (zenon_L182_); trivial.
% 43.34/43.51 (* end of lemma zenon_L520_ *)
% 43.34/43.51 assert (zenon_L521_ : ((~((op1 (e13) (e12)) = (e13)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (~((e21) = (e23))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((h3 (op1 (e13) (e11))) = (op2 (h3 (e13)) (h3 (e11))))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (e23))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op1 (e13) (e10)) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((e10) = (e13))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))))))))))))))))) -> (~((e10) = (e12))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (e10))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (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) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e12) (e12)) = (e12))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((e11) = (e12))) -> False).
% 43.34/43.51 do 0 intro. intros zenon_H42f zenon_H276 zenon_H33 zenon_H428 zenon_H424 zenon_H41e zenon_H30 zenon_H22b zenon_H36f zenon_Ha3 zenon_H42c zenon_H26e zenon_H22a zenon_H26a zenon_H279 zenon_H123 zenon_H19f zenon_H19e zenon_H60 zenon_H42 zenon_H192 zenon_H16b zenon_H166 zenon_Hbd zenon_Hca zenon_Hf9 zenon_H6e zenon_H5f zenon_He8 zenon_H6a zenon_Hc1 zenon_H105 zenon_H178 zenon_H16e zenon_H174 zenon_H189 zenon_H182 zenon_H66 zenon_H17f zenon_H18c zenon_H161 zenon_H15c zenon_Hb2 zenon_Hac zenon_H152 zenon_H142 zenon_H17b zenon_H11a zenon_H21 zenon_H47 zenon_H1c3 zenon_H1a8 zenon_H1bf zenon_Hf6 zenon_H1ba zenon_H1b0 zenon_H1aa zenon_H1c8 zenon_H1b6 zenon_H1d2 zenon_H1be zenon_H1d3 zenon_H73 zenon_H1d5 zenon_H1c2 zenon_H1d8 zenon_H11c zenon_H133 zenon_H126 zenon_He0 zenon_H48 zenon_H57 zenon_Hc4 zenon_H169.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H42f); [ zenon_intro zenon_H425 | zenon_intro zenon_H193 ].
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H26b | zenon_intro zenon_H27a ].
% 43.34/43.51 apply (zenon_L180_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H27a); [ zenon_intro zenon_H22c | zenon_intro zenon_H27b ].
% 43.34/43.51 apply (zenon_L163_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H27b); [ zenon_intro zenon_H26f | zenon_intro zenon_H274 ].
% 43.34/43.51 apply (zenon_L181_); trivial.
% 43.34/43.51 apply (zenon_L520_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H17c | zenon_intro zenon_H194 ].
% 43.34/43.51 apply (zenon_L103_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H18f | zenon_intro zenon_H195 ].
% 43.34/43.51 apply (zenon_L132_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H119 | zenon_intro zenon_H185 ].
% 43.34/43.51 exact (zenon_H11c zenon_H119).
% 43.34/43.51 apply (zenon_L133_); trivial.
% 43.34/43.51 (* end of lemma zenon_L521_ *)
% 43.34/43.51 assert (zenon_L522_ : ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e12) (e12)) = (e12))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (e23))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> (~((h3 (op1 (e13) (e11))) = (op2 (h3 (e13)) (h3 (e11))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((e23) = (op2 (e22) (e22))) -> (~((e21) = (e23))) -> ((~((op1 (e13) (e12)) = (e13)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (~((op1 (e10) (e10)) = (e10))) -> (~((e11) = (e12))) -> (~((e12) = (e13))) -> (~((e10) = (e12))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))))))))))))))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> False).
% 43.34/43.51 do 0 intro. intros zenon_H1a4 zenon_H11c zenon_H1d8 zenon_H1c2 zenon_H1d5 zenon_H73 zenon_H1d3 zenon_H1be zenon_H1d2 zenon_H1b6 zenon_H1c8 zenon_H1aa zenon_H1b0 zenon_H1ba zenon_Hf6 zenon_H1bf zenon_H1a8 zenon_H1c3 zenon_H47 zenon_H19e zenon_H19f zenon_H279 zenon_H26a zenon_H22a zenon_H26e zenon_H42c zenon_Ha3 zenon_H36f zenon_H22b zenon_H30 zenon_H41e zenon_H424 zenon_H428 zenon_H33 zenon_H276 zenon_H42f zenon_H21 zenon_H169 zenon_H11a zenon_H17b zenon_H142 zenon_H152 zenon_Hac zenon_Hb2 zenon_H15c zenon_H126 zenon_H161 zenon_H18c zenon_H57 zenon_He0 zenon_H17f zenon_H66 zenon_H182 zenon_H189 zenon_H174 zenon_H16e zenon_H178 zenon_H105 zenon_Hc1 zenon_H6a zenon_He8 zenon_H5f zenon_H6e zenon_Hf9 zenon_Hca zenon_Hbd zenon_H166 zenon_H16b zenon_H192 zenon_H133 zenon_H42 zenon_H60 zenon_H48 zenon_Hc4.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H123 | zenon_intro zenon_H1a5 ].
% 43.34/43.51 apply (zenon_L521_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H20 | zenon_intro zenon_H1a6 ].
% 43.34/43.51 exact (zenon_H21 zenon_H20).
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H151 | zenon_intro zenon_H1a7 ].
% 43.34/43.51 apply (zenon_L100_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H196 | zenon_intro zenon_H198 ].
% 43.34/43.51 apply (zenon_L101_); trivial.
% 43.34/43.51 apply (zenon_L102_); trivial.
% 43.34/43.51 (* end of lemma zenon_L522_ *)
% 43.34/43.51 assert (zenon_L523_ : ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e13) (e12)) = (e13)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (~((e21) = (e23))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((h3 (op1 (e13) (e11))) = (op2 (h3 (e13)) (h3 (e11))))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (e23))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (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)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e12) = (e13))) -> (~((e10) = (e12))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = (e13))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))))))))))))))))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> False).
% 43.34/43.51 do 0 intro. intros zenon_H1fe zenon_H42f zenon_H276 zenon_H33 zenon_H428 zenon_H424 zenon_H41e zenon_H30 zenon_H22b zenon_H36f zenon_Ha3 zenon_H42c zenon_H26e zenon_H22a zenon_H26a zenon_H279 zenon_H1d8 zenon_H19e zenon_H19f zenon_H1a4 zenon_H1c8 zenon_H1aa zenon_H1b0 zenon_H1ba zenon_Hf6 zenon_H1bf zenon_H1a8 zenon_H1c3 zenon_H47 zenon_H1b6 zenon_H1d2 zenon_H1be zenon_H1d3 zenon_H73 zenon_H1d5 zenon_H1c2 zenon_H1fc zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H1e4 zenon_H1e0 zenon_H1f4 zenon_H1f3 zenon_H1d9 zenon_H1db zenon_H169 zenon_H11a zenon_H17b zenon_H142 zenon_H152 zenon_Hac zenon_Hb2 zenon_H15c zenon_H126 zenon_H161 zenon_H18c zenon_H57 zenon_He0 zenon_H17f zenon_H66 zenon_H182 zenon_H189 zenon_H174 zenon_H16e zenon_H178 zenon_H105 zenon_Hc1 zenon_H6a zenon_He8 zenon_H5f zenon_H6e zenon_Hf9 zenon_Hca zenon_Hbd zenon_H166 zenon_H16b zenon_H192 zenon_H133 zenon_H42 zenon_H60 zenon_H48 zenon_Hc4.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H21 | zenon_intro zenon_H1a5 ].
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H1d8); [ zenon_intro zenon_H1b1 | zenon_intro zenon_H1a5 ].
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H11c | zenon_intro zenon_H193 ].
% 43.34/43.51 apply (zenon_L522_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H17c | zenon_intro zenon_H194 ].
% 43.34/43.51 apply (zenon_L104_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H18f | zenon_intro zenon_H195 ].
% 43.34/43.51 apply (zenon_L131_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H119 | zenon_intro zenon_H185 ].
% 43.34/43.51 apply (zenon_L60_); trivial.
% 43.34/43.51 apply (zenon_L133_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H20 | zenon_intro zenon_H1a6 ].
% 43.34/43.51 exact (zenon_H21 zenon_H20).
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H151 | zenon_intro zenon_H1a7 ].
% 43.34/43.51 apply (zenon_L100_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H196 | zenon_intro zenon_H198 ].
% 43.34/43.51 apply (zenon_L101_); trivial.
% 43.34/43.51 apply (zenon_L102_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H20 | zenon_intro zenon_H1a6 ].
% 43.34/43.51 apply (zenon_L149_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H151 | zenon_intro zenon_H1a7 ].
% 43.34/43.51 apply (zenon_L100_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H196 | zenon_intro zenon_H198 ].
% 43.34/43.51 apply (zenon_L101_); trivial.
% 43.34/43.51 apply (zenon_L102_); trivial.
% 43.34/43.51 (* end of lemma zenon_L523_ *)
% 43.34/43.51 assert (zenon_L524_ : (~((h3 (op1 (e13) (e12))) = (op2 (h3 (e13)) (h3 (e12))))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((op1 (e13) (e12)) = (e10)) -> ((h3 (e12)) = (e22)) -> ((h3 (e13)) = (op2 (e22) (e22))) -> False).
% 43.34/43.51 do 0 intro. intros zenon_H430 zenon_H2b zenon_H431 zenon_H381 zenon_H30.
% 43.34/43.51 cut (((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) = ((h3 (op1 (e13) (e12))) = (op2 (h3 (e13)) (h3 (e12))))).
% 43.34/43.51 intro zenon_D_pnotp.
% 43.34/43.51 apply zenon_H430.
% 43.34/43.51 rewrite <- zenon_D_pnotp.
% 43.34/43.51 exact zenon_H2b.
% 43.34/43.51 cut (((op2 (op2 (e22) (e22)) (e22)) = (op2 (h3 (e13)) (h3 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H432].
% 43.34/43.51 cut (((h3 (e10)) = (h3 (op1 (e13) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H433].
% 43.34/43.51 congruence.
% 43.34/43.51 elim (classic ((h3 (op1 (e13) (e12))) = (h3 (op1 (e13) (e12))))); [ zenon_intro zenon_H434 | zenon_intro zenon_H435 ].
% 43.34/43.51 cut (((h3 (op1 (e13) (e12))) = (h3 (op1 (e13) (e12)))) = ((h3 (e10)) = (h3 (op1 (e13) (e12))))).
% 43.34/43.51 intro zenon_D_pnotp.
% 43.34/43.51 apply zenon_H433.
% 43.34/43.51 rewrite <- zenon_D_pnotp.
% 43.34/43.51 exact zenon_H434.
% 43.34/43.51 cut (((h3 (op1 (e13) (e12))) = (h3 (op1 (e13) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H435].
% 43.34/43.51 cut (((h3 (op1 (e13) (e12))) = (h3 (e10)))); [idtac | apply NNPP; zenon_intro zenon_H436].
% 43.34/43.51 congruence.
% 43.34/43.51 cut (((op1 (e13) (e12)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H437].
% 43.34/43.51 congruence.
% 43.34/43.51 exact (zenon_H437 zenon_H431).
% 43.34/43.51 apply zenon_H435. apply refl_equal.
% 43.34/43.51 apply zenon_H435. apply refl_equal.
% 43.34/43.51 cut (((e22) = (h3 (e12)))); [idtac | apply NNPP; zenon_intro zenon_H3f8].
% 43.34/43.51 cut (((op2 (e22) (e22)) = (h3 (e13)))); [idtac | apply NNPP; zenon_intro zenon_H438].
% 43.34/43.51 congruence.
% 43.34/43.51 apply zenon_H438. apply sym_equal. exact zenon_H30.
% 43.34/43.51 apply zenon_H3f8. apply sym_equal. exact zenon_H381.
% 43.34/43.51 (* end of lemma zenon_L524_ *)
% 43.34/43.51 assert (zenon_L525_ : (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((e10) = (e13))) -> ((e13) = (op1 (e12) (e12))) -> (~((h3 (op1 (e13) (e12))) = (op2 (h3 (e13)) (h3 (e12))))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e12)) = (e22)) -> ((h3 (e13)) = (op2 (e22) (e22))) -> False).
% 43.34/43.51 do 0 intro. intros zenon_H439 zenon_Hac zenon_H60 zenon_H5f zenon_H42 zenon_H48 zenon_H430 zenon_H2b zenon_H381 zenon_H30.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H439); [ zenon_intro zenon_Had | zenon_intro zenon_H43a ].
% 43.34/43.51 apply (zenon_L33_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H43a); [ zenon_intro zenon_H61 | zenon_intro zenon_H43b ].
% 43.34/43.51 apply (zenon_L18_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H43b); [ zenon_intro zenon_H196 | zenon_intro zenon_H431 ].
% 43.34/43.51 apply (zenon_L101_); trivial.
% 43.34/43.51 apply (zenon_L524_); trivial.
% 43.34/43.51 (* end of lemma zenon_L525_ *)
% 43.34/43.51 assert (zenon_L526_ : (~((h3 (op1 (e13) (e13))) = (op2 (h3 (e13)) (h3 (e13))))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((op1 (e13) (e13)) = (e11)) -> ((h3 (e13)) = (op2 (e22) (e22))) -> False).
% 43.34/43.51 do 0 intro. intros zenon_H43c zenon_H36f zenon_H12b zenon_H30.
% 43.34/43.51 cut (((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) = ((h3 (op1 (e13) (e13))) = (op2 (h3 (e13)) (h3 (e13))))).
% 43.34/43.51 intro zenon_D_pnotp.
% 43.34/43.51 apply zenon_H43c.
% 43.34/43.51 rewrite <- zenon_D_pnotp.
% 43.34/43.51 exact zenon_H36f.
% 43.34/43.51 cut (((op2 (op2 (e22) (e22)) (op2 (e22) (e22))) = (op2 (h3 (e13)) (h3 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H43d].
% 43.34/43.51 cut (((h3 (e11)) = (h3 (op1 (e13) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H43e].
% 43.34/43.51 congruence.
% 43.34/43.51 elim (classic ((h3 (op1 (e13) (e13))) = (h3 (op1 (e13) (e13))))); [ zenon_intro zenon_H43f | zenon_intro zenon_H440 ].
% 43.34/43.51 cut (((h3 (op1 (e13) (e13))) = (h3 (op1 (e13) (e13)))) = ((h3 (e11)) = (h3 (op1 (e13) (e13))))).
% 43.34/43.51 intro zenon_D_pnotp.
% 43.34/43.51 apply zenon_H43e.
% 43.34/43.51 rewrite <- zenon_D_pnotp.
% 43.34/43.51 exact zenon_H43f.
% 43.34/43.51 cut (((h3 (op1 (e13) (e13))) = (h3 (op1 (e13) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H440].
% 43.34/43.51 cut (((h3 (op1 (e13) (e13))) = (h3 (e11)))); [idtac | apply NNPP; zenon_intro zenon_H441].
% 43.34/43.51 congruence.
% 43.34/43.51 cut (((op1 (e13) (e13)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H442].
% 43.34/43.51 congruence.
% 43.34/43.51 exact (zenon_H442 zenon_H12b).
% 43.34/43.51 apply zenon_H440. apply refl_equal.
% 43.34/43.51 apply zenon_H440. apply refl_equal.
% 43.34/43.51 cut (((op2 (e22) (e22)) = (h3 (e13)))); [idtac | apply NNPP; zenon_intro zenon_H438].
% 43.34/43.51 cut (((op2 (e22) (e22)) = (h3 (e13)))); [idtac | apply NNPP; zenon_intro zenon_H438].
% 43.34/43.51 congruence.
% 43.34/43.51 apply zenon_H438. apply sym_equal. exact zenon_H30.
% 43.34/43.51 apply zenon_H438. apply sym_equal. exact zenon_H30.
% 43.34/43.51 (* end of lemma zenon_L526_ *)
% 43.34/43.51 assert (zenon_L527_ : (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((h3 (op1 (e13) (e13))) = (op2 (h3 (e13)) (h3 (e13))))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> False).
% 43.34/43.51 do 0 intro. intros zenon_H443 zenon_H1ba zenon_H56 zenon_H48 zenon_H57 zenon_Hf9 zenon_H43c zenon_H36f zenon_H30.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H443); [ zenon_intro zenon_H1bb | zenon_intro zenon_H444 ].
% 43.34/43.51 apply (zenon_L113_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H444); [ zenon_intro zenon_H58 | zenon_intro zenon_H445 ].
% 43.34/43.51 apply (zenon_L15_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H445); [ zenon_intro zenon_Hfa | zenon_intro zenon_H12b ].
% 43.34/43.51 apply (zenon_L54_); trivial.
% 43.34/43.51 apply (zenon_L526_); trivial.
% 43.34/43.51 (* end of lemma zenon_L527_ *)
% 43.34/43.51 assert (zenon_L528_ : (~(((h3 (e10)) = (e20))\/(((h3 (e11)) = (e20))\/(((h3 (e12)) = (e20))\/((h3 (e13)) = (e20)))))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> False).
% 43.34/43.51 do 0 intro. intros zenon_H446 zenon_H2b zenon_H2c.
% 43.34/43.51 apply (zenon_notor_s _ _ zenon_H446). zenon_intro zenon_H2a. zenon_intro zenon_H447.
% 43.34/43.51 apply (zenon_L9_); trivial.
% 43.34/43.51 (* end of lemma zenon_L528_ *)
% 43.34/43.51 assert (zenon_L529_ : (~(((h3 (e10)) = (e21))\/(((h3 (e11)) = (e21))\/(((h3 (e12)) = (e21))\/((h3 (e13)) = (e21)))))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> False).
% 43.34/43.51 do 0 intro. intros zenon_H448 zenon_H36f zenon_H22b.
% 43.34/43.51 apply (zenon_notor_s _ _ zenon_H448). zenon_intro zenon_H44a. zenon_intro zenon_H449.
% 43.34/43.51 apply (zenon_notor_s _ _ zenon_H449). zenon_intro zenon_H36e. zenon_intro zenon_H44b.
% 43.34/43.51 apply (zenon_L327_); trivial.
% 43.34/43.51 (* end of lemma zenon_L529_ *)
% 43.34/43.51 assert (zenon_L530_ : (~(((h3 (e10)) = (e22))\/(((h3 (e11)) = (e22))\/(((h3 (e12)) = (e22))\/((h3 (e13)) = (e22)))))) -> ((h3 (e12)) = (e22)) -> False).
% 43.34/43.51 do 0 intro. intros zenon_H44c zenon_H381.
% 43.34/43.51 apply (zenon_notor_s _ _ zenon_H44c). zenon_intro zenon_H44e. zenon_intro zenon_H44d.
% 43.34/43.51 apply (zenon_notor_s _ _ zenon_H44d). zenon_intro zenon_H450. zenon_intro zenon_H44f.
% 43.34/43.51 apply (zenon_notor_s _ _ zenon_H44f). zenon_intro zenon_H38e. zenon_intro zenon_H451.
% 43.34/43.51 exact (zenon_H38e zenon_H381).
% 43.34/43.51 (* end of lemma zenon_L530_ *)
% 43.34/43.51 assert (zenon_L531_ : (~(((h3 (e10)) = (e23))\/(((h3 (e11)) = (e23))\/(((h3 (e12)) = (e23))\/((h3 (e13)) = (e23)))))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> ((e23) = (op2 (e22) (e22))) -> False).
% 43.34/43.51 do 0 intro. intros zenon_H452 zenon_H30 zenon_H33.
% 43.34/43.51 apply (zenon_notor_s _ _ zenon_H452). zenon_intro zenon_H454. zenon_intro zenon_H453.
% 43.34/43.51 apply (zenon_notor_s _ _ zenon_H453). zenon_intro zenon_H456. zenon_intro zenon_H455.
% 43.34/43.51 apply (zenon_notor_s _ _ zenon_H455). zenon_intro zenon_H457. zenon_intro zenon_H38f.
% 43.34/43.51 apply (zenon_L350_); trivial.
% 43.34/43.51 (* end of lemma zenon_L531_ *)
% 43.34/43.51 apply NNPP. intro zenon_G.
% 43.34/43.51 apply (zenon_and_s _ _ ax1). zenon_intro zenon_H459. zenon_intro zenon_H458.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H458). zenon_intro zenon_H45b. zenon_intro zenon_H45a.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H45a). zenon_intro zenon_H1c8. zenon_intro zenon_H45c.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H45c). zenon_intro zenon_H1bf. zenon_intro zenon_H45d.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H45d). zenon_intro zenon_H45f. zenon_intro zenon_H45e.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H45e). zenon_intro zenon_H461. zenon_intro zenon_H460.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H460). zenon_intro zenon_H6e. zenon_intro zenon_H462.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H462). zenon_intro zenon_H78. zenon_intro zenon_H463.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H463). zenon_intro zenon_H1b0. zenon_intro zenon_H464.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H464). zenon_intro zenon_H3ec. zenon_intro zenon_H465.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H465). zenon_intro zenon_H467. zenon_intro zenon_H466.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H466). zenon_intro zenon_H109. zenon_intro zenon_H468.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H468). zenon_intro zenon_H19e. zenon_intro zenon_H469.
% 43.34/43.51 apply (zenon_and_s _ _ ax2). zenon_intro zenon_H10c. zenon_intro zenon_H46a.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H46a). zenon_intro zenon_H10d. zenon_intro zenon_H46b.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H46b). zenon_intro zenon_H46d. zenon_intro zenon_H46c.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H46c). zenon_intro zenon_H18c. zenon_intro zenon_H46e.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H46e). zenon_intro zenon_H1f5. zenon_intro zenon_H46f.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H46f). zenon_intro zenon_H412. zenon_intro zenon_H470.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H470). zenon_intro zenon_H7b. zenon_intro zenon_H471.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H471). zenon_intro zenon_H473. zenon_intro zenon_H472.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H472). zenon_intro zenon_H475. zenon_intro zenon_H474.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H474). zenon_intro zenon_H1f3. zenon_intro zenon_H476.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H476). zenon_intro zenon_H3b6. zenon_intro zenon_H477.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H477). zenon_intro zenon_H166. zenon_intro zenon_H478.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H478). zenon_intro zenon_H1f4. zenon_intro zenon_H479.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H479). zenon_intro zenon_H47b. zenon_intro zenon_H47a.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H47a). zenon_intro zenon_H1c2. zenon_intro zenon_H47c.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H47c). zenon_intro zenon_H178. zenon_intro zenon_H47d.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H47d). zenon_intro zenon_H1c3. zenon_intro zenon_H47e.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H47e). zenon_intro zenon_H439. zenon_intro zenon_H47f.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H47f). zenon_intro zenon_H16b. zenon_intro zenon_H480.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H480). zenon_intro zenon_Hca. zenon_intro zenon_H481.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H481). zenon_intro zenon_H483. zenon_intro zenon_H482.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H482). zenon_intro zenon_H1e4. zenon_intro zenon_H484.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H484). zenon_intro zenon_H486. zenon_intro zenon_H485.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H485). zenon_intro zenon_H488. zenon_intro zenon_H487.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H487). zenon_intro zenon_H48a. zenon_intro zenon_H489.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H489). zenon_intro zenon_H48c. zenon_intro zenon_H48b.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H48b). zenon_intro zenon_H133. zenon_intro zenon_H48d.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H48d). zenon_intro zenon_H443. zenon_intro zenon_H48e.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H48e). zenon_intro zenon_H1ec. zenon_intro zenon_H48f.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H48f). zenon_intro zenon_H189. zenon_intro zenon_H490.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H490). zenon_intro zenon_H424. zenon_intro zenon_H39c.
% 43.34/43.51 apply (zenon_and_s _ _ ax3). zenon_intro zenon_H492. zenon_intro zenon_H491.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H491). zenon_intro zenon_H494. zenon_intro zenon_H493.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H493). zenon_intro zenon_H33e. zenon_intro zenon_H495.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H495). zenon_intro zenon_H260. zenon_intro zenon_H496.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H496). zenon_intro zenon_H498. zenon_intro zenon_H497.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H497). zenon_intro zenon_H49a. zenon_intro zenon_H499.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H499). zenon_intro zenon_H242. zenon_intro zenon_H49b.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H49b). zenon_intro zenon_H301. zenon_intro zenon_H49c.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H49c). zenon_intro zenon_H345. zenon_intro zenon_H49d.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H49d). zenon_intro zenon_H3ef. zenon_intro zenon_H49e.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H49e). zenon_intro zenon_H4a0. zenon_intro zenon_H49f.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H49f). zenon_intro zenon_H299. zenon_intro zenon_H4a1.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H4a1). zenon_intro zenon_H415. zenon_intro zenon_H4a2.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H4a2). zenon_intro zenon_H36a. zenon_intro zenon_H4a3.
% 43.34/43.51 apply (zenon_and_s _ _ ax4). zenon_intro zenon_H29e. zenon_intro zenon_H4a4.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H4a4). zenon_intro zenon_H29c. zenon_intro zenon_H4a5.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H4a5). zenon_intro zenon_H349. zenon_intro zenon_H4a6.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H4a6). zenon_intro zenon_H30b. zenon_intro zenon_H4a7.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H4a7). zenon_intro zenon_H29d. zenon_intro zenon_H4a8.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H4a8). zenon_intro zenon_H4aa. zenon_intro zenon_H4a9.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H4a9). zenon_intro zenon_Ha8. zenon_intro zenon_H4ab.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H4ab). zenon_intro zenon_Ha2. zenon_intro zenon_H4ac.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H4ac). zenon_intro zenon_H4ae. zenon_intro zenon_H4ad.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H4ad). zenon_intro zenon_H35b. zenon_intro zenon_H4af.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H4af). zenon_intro zenon_H3b9. zenon_intro zenon_H4b0.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H4b0). zenon_intro zenon_H2ee. zenon_intro zenon_H4b1.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H4b1). zenon_intro zenon_H4b3. zenon_intro zenon_H4b2.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H4b2). zenon_intro zenon_H4b5. zenon_intro zenon_H4b4.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H4b4). zenon_intro zenon_H4b7. zenon_intro zenon_H4b6.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H4b6). zenon_intro zenon_H321. zenon_intro zenon_H4b8.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H4b8). zenon_intro zenon_H27d. zenon_intro zenon_H4b9.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H4b9). zenon_intro zenon_H4bb. zenon_intro zenon_H4ba.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H4ba). zenon_intro zenon_H2f3. zenon_intro zenon_H4bc.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H4bc). zenon_intro zenon_H2e3. zenon_intro zenon_H4bd.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H4bd). zenon_intro zenon_H4bf. zenon_intro zenon_H4be.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H4be). zenon_intro zenon_H342. zenon_intro zenon_H4c0.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H4c0). zenon_intro zenon_H4c2. zenon_intro zenon_H4c1.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H4c1). zenon_intro zenon_H4c4. zenon_intro zenon_H4c3.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H4c3). zenon_intro zenon_H4c6. zenon_intro zenon_H4c5.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H4c5). zenon_intro zenon_H4c8. zenon_intro zenon_H4c7.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H4c7). zenon_intro zenon_H279. zenon_intro zenon_H4c9.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H4c9). zenon_intro zenon_H4cb. zenon_intro zenon_H4ca.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H4ca). zenon_intro zenon_H363. zenon_intro zenon_H4cc.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H4cc). zenon_intro zenon_H31e. zenon_intro zenon_H4cd.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H4cd). zenon_intro zenon_H42c. zenon_intro zenon_H27c.
% 43.34/43.51 apply (zenon_and_s _ _ ax5). zenon_intro zenon_H4cf. zenon_intro zenon_H4ce.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H4ce). zenon_intro zenon_H17f. zenon_intro zenon_H4d0.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H4d0). zenon_intro zenon_H19f. zenon_intro zenon_H4d1.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H4d1). zenon_intro zenon_H1a8. zenon_intro zenon_H4d2.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H4d2). zenon_intro zenon_H1d5. zenon_intro zenon_H4d3.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H4d3). zenon_intro zenon_H4d5. zenon_intro zenon_H4d4.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H4d4). zenon_intro zenon_H152. zenon_intro zenon_H4d6.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H4d6). zenon_intro zenon_H1b6. zenon_intro zenon_H4d7.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H4d7). zenon_intro zenon_H1ed. zenon_intro zenon_H4d8.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H4d8). zenon_intro zenon_H1d3. zenon_intro zenon_H4d9.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H4d9). zenon_intro zenon_H4db. zenon_intro zenon_H4da.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H4da). zenon_intro zenon_H4dd. zenon_intro zenon_H4dc.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H4dc). zenon_intro zenon_He8. zenon_intro zenon_H4de.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H4de). zenon_intro zenon_H47. zenon_intro zenon_H4df.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H4df). zenon_intro zenon_Hac. zenon_intro zenon_H4e0.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H4e0). zenon_intro zenon_H6a. zenon_intro zenon_H4e1.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H4e1). zenon_intro zenon_H5f. zenon_intro zenon_H4e2.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H4e2). zenon_intro zenon_H4e4. zenon_intro zenon_H4e3.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H4e3). zenon_intro zenon_H73. zenon_intro zenon_H4e5.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H4e5). zenon_intro zenon_Hf6. zenon_intro zenon_H4e6.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H4e6). zenon_intro zenon_H1ba. zenon_intro zenon_H4e7.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H4e7). zenon_intro zenon_H4e9. zenon_intro zenon_H4e8.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H4e8). zenon_intro zenon_H56. zenon_intro zenon_H4ea.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H4ea). zenon_intro zenon_Hf9. zenon_intro zenon_H4eb.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H4eb). zenon_intro zenon_H1d9. zenon_intro zenon_H4ec.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H4ec). zenon_intro zenon_H4ee. zenon_intro zenon_H4ed.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H4ed). zenon_intro zenon_H182. zenon_intro zenon_H4ef.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H4ef). zenon_intro zenon_Hbd. zenon_intro zenon_H4f0.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H4f0). zenon_intro zenon_H16e. zenon_intro zenon_H4f1.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H4f1). zenon_intro zenon_H1be. zenon_intro zenon_H4f2.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H4f2). zenon_intro zenon_H4f4. zenon_intro zenon_H4f3.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H4f3). zenon_intro zenon_H1e0. zenon_intro zenon_H4f5.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H4f5). zenon_intro zenon_H4f. zenon_intro zenon_H4f6.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H4f6). zenon_intro zenon_H4f8. zenon_intro zenon_H4f7.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H4f7). zenon_intro zenon_H1d2. zenon_intro zenon_H4f9.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H4f9). zenon_intro zenon_H66. zenon_intro zenon_H4fa.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H4fa). zenon_intro zenon_H161. zenon_intro zenon_H4fb.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H4fb). zenon_intro zenon_H1aa. zenon_intro zenon_H4fc.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H4fc). zenon_intro zenon_H4fe. zenon_intro zenon_H4fd.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H4fd). zenon_intro zenon_H174. zenon_intro zenon_H4ff.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H4ff). zenon_intro zenon_H501. zenon_intro zenon_H500.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H500). zenon_intro zenon_H105. zenon_intro zenon_H502.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H502). zenon_intro zenon_H504. zenon_intro zenon_H503.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H503). zenon_intro zenon_Hb2. zenon_intro zenon_H505.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H505). zenon_intro zenon_H126. zenon_intro zenon_H506.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H506). zenon_intro zenon_H1db. zenon_intro zenon_H507.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H507). zenon_intro zenon_He0. zenon_intro zenon_Hc4.
% 43.34/43.51 apply (zenon_and_s _ _ ax6). zenon_intro zenon_H509. zenon_intro zenon_H508.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H508). zenon_intro zenon_H30e. zenon_intro zenon_H50a.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H50a). zenon_intro zenon_H50c. zenon_intro zenon_H50b.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H50b). zenon_intro zenon_H249. zenon_intro zenon_H50d.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H50d). zenon_intro zenon_H50f. zenon_intro zenon_H50e.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H50e). zenon_intro zenon_H511. zenon_intro zenon_H510.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H510). zenon_intro zenon_H2d7. zenon_intro zenon_H512.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H512). zenon_intro zenon_H24d. zenon_intro zenon_H513.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H513). zenon_intro zenon_H364. zenon_intro zenon_H514.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H514). zenon_intro zenon_H352. zenon_intro zenon_H515.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H515). zenon_intro zenon_H369. zenon_intro zenon_H516.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H516). zenon_intro zenon_H518. zenon_intro zenon_H517.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H517). zenon_intro zenon_H23a. zenon_intro zenon_H519.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H519). zenon_intro zenon_H85. zenon_intro zenon_H51a.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H51a). zenon_intro zenon_H204. zenon_intro zenon_H51b.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H51b). zenon_intro zenon_H23e. zenon_intro zenon_H51c.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H51c). zenon_intro zenon_H234. zenon_intro zenon_H51d.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H51d). zenon_intro zenon_H428. zenon_intro zenon_H51e.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H51e). zenon_intro zenon_H25d. zenon_intro zenon_H51f.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H51f). zenon_intro zenon_H253. zenon_intro zenon_H520.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H520). zenon_intro zenon_H256. zenon_intro zenon_H521.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H521). zenon_intro zenon_H523. zenon_intro zenon_H522.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H522). zenon_intro zenon_H2f9. zenon_intro zenon_H524.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H524). zenon_intro zenon_H290. zenon_intro zenon_H525.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H525). zenon_intro zenon_H355. zenon_intro zenon_H526.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H526). zenon_intro zenon_H528. zenon_intro zenon_H527.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H527). zenon_intro zenon_H93. zenon_intro zenon_H529.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H529). zenon_intro zenon_H2de. zenon_intro zenon_H52a.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H52a). zenon_intro zenon_H311. zenon_intro zenon_H52b.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H52b). zenon_intro zenon_H33d. zenon_intro zenon_H52c.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H52c). zenon_intro zenon_H52e. zenon_intro zenon_H52d.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H52d). zenon_intro zenon_H530. zenon_intro zenon_H52f.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H52f). zenon_intro zenon_H33c. zenon_intro zenon_H531.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H531). zenon_intro zenon_H533. zenon_intro zenon_H532.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H532). zenon_intro zenon_H2f6. zenon_intro zenon_H534.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H534). zenon_intro zenon_H2fe. zenon_intro zenon_H535.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H535). zenon_intro zenon_H2eb. zenon_intro zenon_H536.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H536). zenon_intro zenon_H9c. zenon_intro zenon_H537.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H537). zenon_intro zenon_H539. zenon_intro zenon_H538.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H538). zenon_intro zenon_H316. zenon_intro zenon_H53a.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H53a). zenon_intro zenon_H53c. zenon_intro zenon_H53b.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H53b). zenon_intro zenon_H264. zenon_intro zenon_H53d.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H53d). zenon_intro zenon_H53f. zenon_intro zenon_H53e.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H53e). zenon_intro zenon_H20a. zenon_intro zenon_H540.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H540). zenon_intro zenon_H26a. zenon_intro zenon_H541.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H541). zenon_intro zenon_H357. zenon_intro zenon_H542.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H542). zenon_intro zenon_H22a. zenon_intro zenon_H26e.
% 43.34/43.51 apply (zenon_and_s _ _ ax7). zenon_intro zenon_H15c. zenon_intro zenon_H543.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H543). zenon_intro zenon_H17b. zenon_intro zenon_H544.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H544). zenon_intro zenon_H42. zenon_intro zenon_H545.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H545). zenon_intro zenon_H169. zenon_intro zenon_H546.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H546). zenon_intro zenon_Hc1. zenon_intro zenon_H11a.
% 43.34/43.51 apply (zenon_and_s _ _ ax8). zenon_intro zenon_H2e6. zenon_intro zenon_H547.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H547). zenon_intro zenon_H304. zenon_intro zenon_H548.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H548). zenon_intro zenon_H80. zenon_intro zenon_H549.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H549). zenon_intro zenon_H2f1. zenon_intro zenon_H54a.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H54a). zenon_intro zenon_H276. zenon_intro zenon_H288.
% 43.34/43.51 apply (zenon_and_s _ _ ax10). zenon_intro zenon_H1fe. zenon_intro zenon_H54b.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H54b). zenon_intro zenon_H54d. zenon_intro zenon_H54c.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H54c). zenon_intro zenon_H1ff. zenon_intro zenon_H54e.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H54e). zenon_intro zenon_H550. zenon_intro zenon_H54f.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H54f). zenon_intro zenon_H37f. zenon_intro zenon_H551.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H551). zenon_intro zenon_H553. zenon_intro zenon_H552.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H552). zenon_intro zenon_H192. zenon_intro zenon_H554.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H554). zenon_intro zenon_H556. zenon_intro zenon_H555.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H555). zenon_intro zenon_H1d8. zenon_intro zenon_H557.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H557). zenon_intro zenon_H559. zenon_intro zenon_H558.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H558). zenon_intro zenon_H1fc. zenon_intro zenon_H55a.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H55a). zenon_intro zenon_H55c. zenon_intro zenon_H55b.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H55b). zenon_intro zenon_H1a4. zenon_intro zenon_H55d.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H55d). zenon_intro zenon_H55f. zenon_intro zenon_H55e.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H55e). zenon_intro zenon_H42f. zenon_intro zenon_H560.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H560). zenon_intro zenon_H561. zenon_intro zenon_H142.
% 43.34/43.51 apply (zenon_and_s _ _ ax11). zenon_intro zenon_H563. zenon_intro zenon_H562.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H562). zenon_intro zenon_H565. zenon_intro zenon_H564.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H564). zenon_intro zenon_H567. zenon_intro zenon_H566.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H566). zenon_intro zenon_H569. zenon_intro zenon_H568.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H568). zenon_intro zenon_H33b. zenon_intro zenon_H56a.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H56a). zenon_intro zenon_H330. zenon_intro zenon_H56b.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H56b). zenon_intro zenon_H32b. zenon_intro zenon_H56c.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H56c). zenon_intro zenon_H56e. zenon_intro zenon_H56d.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H56d). zenon_intro zenon_H354. zenon_intro zenon_H56f.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H56f). zenon_intro zenon_H32f. zenon_intro zenon_H570.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H570). zenon_intro zenon_H36d. zenon_intro zenon_H571.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H571). zenon_intro zenon_H573. zenon_intro zenon_H572.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H572). zenon_intro zenon_H337. zenon_intro zenon_H574.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H574). zenon_intro zenon_H324. zenon_intro zenon_H575.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H575). zenon_intro zenon_H577. zenon_intro zenon_H576.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H576). zenon_intro zenon_H578. zenon_intro zenon_H2c7.
% 43.34/43.51 apply (zenon_and_s _ _ ax12). zenon_intro zenon_H60. zenon_intro zenon_H579.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H579). zenon_intro zenon_H57. zenon_intro zenon_H48.
% 43.34/43.51 apply (zenon_and_s _ _ ax13). zenon_intro zenon_H2c. zenon_intro zenon_H57a.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H57a). zenon_intro zenon_H22b. zenon_intro zenon_H33.
% 43.34/43.51 apply (zenon_and_s _ _ ax16). zenon_intro zenon_H381. zenon_intro zenon_H57b.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H57b). zenon_intro zenon_H2b. zenon_intro zenon_H57c.
% 43.34/43.51 apply (zenon_and_s _ _ zenon_H57c). zenon_intro zenon_H36f. zenon_intro zenon_H30.
% 43.34/43.51 apply (zenon_notor_s _ _ zenon_G). zenon_intro zenon_H57e. zenon_intro zenon_H57d.
% 43.34/43.51 apply (zenon_notor_s _ _ zenon_H57d). zenon_intro zenon_H580. zenon_intro zenon_H57f.
% 43.34/43.51 apply (zenon_notor_s _ _ zenon_H57f). zenon_intro zenon_H582. zenon_intro zenon_H581.
% 43.34/43.51 apply (zenon_notand_s _ _ zenon_H582); [ zenon_intro zenon_H2f | zenon_intro zenon_H583 ].
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H563); [ zenon_intro zenon_H15 | zenon_intro zenon_H338 ].
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H567); [ zenon_intro zenon_H207 | zenon_intro zenon_H32c ].
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H33b); [ zenon_intro zenon_H214 | zenon_intro zenon_H338 ].
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H330); [ zenon_intro zenon_H21a | zenon_intro zenon_H325 ].
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H226 | zenon_intro zenon_H32c ].
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H338 ].
% 43.34/43.51 apply (zenon_L205_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ].
% 43.34/43.51 exact (zenon_H15 zenon_H14).
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ].
% 43.34/43.51 apply (zenon_L251_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ].
% 43.34/43.51 apply (zenon_L173_); trivial.
% 43.34/43.51 apply (zenon_L252_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H25a | zenon_intro zenon_H32d ].
% 43.34/43.51 apply (zenon_L261_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H328 | zenon_intro zenon_H32e ].
% 43.34/43.51 apply (zenon_L291_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H2ab | zenon_intro zenon_H31a ].
% 43.34/43.51 apply (zenon_L197_); trivial.
% 43.34/43.51 apply (zenon_L245_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H309 | zenon_intro zenon_H326 ].
% 43.34/43.51 apply (zenon_L297_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H326); [ zenon_intro zenon_H219 | zenon_intro zenon_H327 ].
% 43.34/43.51 apply (zenon_L305_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H327); [ zenon_intro zenon_H2e1 | zenon_intro zenon_H274 ].
% 43.34/43.51 apply (zenon_L209_); trivial.
% 43.34/43.51 apply (zenon_L307_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ].
% 43.34/43.51 exact (zenon_H15 zenon_H14).
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ].
% 43.34/43.51 apply (zenon_L251_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ].
% 43.34/43.51 apply (zenon_L173_); trivial.
% 43.34/43.51 apply (zenon_L252_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H25a | zenon_intro zenon_H32d ].
% 43.34/43.51 apply (zenon_L308_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H328 | zenon_intro zenon_H32e ].
% 43.34/43.51 apply (zenon_L309_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H2ab | zenon_intro zenon_H31a ].
% 43.34/43.51 apply (zenon_L197_); trivial.
% 43.34/43.51 apply (zenon_L245_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ].
% 43.34/43.51 apply (zenon_L326_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ].
% 43.34/43.51 apply (zenon_L251_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ].
% 43.34/43.51 apply (zenon_L173_); trivial.
% 43.34/43.51 apply (zenon_L252_); trivial.
% 43.34/43.51 apply (zenon_notand_s _ _ zenon_H583); [ zenon_intro zenon_H372 | zenon_intro zenon_H584 ].
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H563); [ zenon_intro zenon_H15 | zenon_intro zenon_H338 ].
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H567); [ zenon_intro zenon_H207 | zenon_intro zenon_H32c ].
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H33b); [ zenon_intro zenon_H214 | zenon_intro zenon_H338 ].
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H330); [ zenon_intro zenon_H21a | zenon_intro zenon_H325 ].
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H226 | zenon_intro zenon_H32c ].
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H338 ].
% 43.34/43.51 apply (zenon_L341_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ].
% 43.34/43.51 exact (zenon_H15 zenon_H14).
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ].
% 43.34/43.51 apply (zenon_L251_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ].
% 43.34/43.51 apply (zenon_L173_); trivial.
% 43.34/43.51 apply (zenon_L252_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H25a | zenon_intro zenon_H32d ].
% 43.34/43.51 apply (zenon_L261_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H328 | zenon_intro zenon_H32e ].
% 43.34/43.51 apply (zenon_L291_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H2ab | zenon_intro zenon_H31a ].
% 43.34/43.51 apply (zenon_L197_); trivial.
% 43.34/43.51 apply (zenon_L245_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H309 | zenon_intro zenon_H326 ].
% 43.34/43.51 apply (zenon_L343_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H326); [ zenon_intro zenon_H219 | zenon_intro zenon_H327 ].
% 43.34/43.51 apply (zenon_L344_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H327); [ zenon_intro zenon_H2e1 | zenon_intro zenon_H274 ].
% 43.34/43.51 apply (zenon_L209_); trivial.
% 43.34/43.51 apply (zenon_L346_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ].
% 43.34/43.51 exact (zenon_H15 zenon_H14).
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ].
% 43.34/43.51 apply (zenon_L251_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ].
% 43.34/43.51 apply (zenon_L173_); trivial.
% 43.34/43.51 apply (zenon_L252_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H25a | zenon_intro zenon_H32d ].
% 43.34/43.51 apply (zenon_L308_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H328 | zenon_intro zenon_H32e ].
% 43.34/43.51 apply (zenon_L309_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H2ab | zenon_intro zenon_H31a ].
% 43.34/43.51 apply (zenon_L197_); trivial.
% 43.34/43.51 apply (zenon_L245_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ].
% 43.34/43.51 apply (zenon_L326_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ].
% 43.34/43.51 apply (zenon_L251_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ].
% 43.34/43.51 apply (zenon_L173_); trivial.
% 43.34/43.51 apply (zenon_L252_); trivial.
% 43.34/43.51 apply (zenon_notand_s _ _ zenon_H584); [ zenon_intro zenon_H380 | zenon_intro zenon_H585 ].
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H563); [ zenon_intro zenon_H15 | zenon_intro zenon_H338 ].
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H33b); [ zenon_intro zenon_H214 | zenon_intro zenon_H338 ].
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H226 | zenon_intro zenon_H32c ].
% 43.34/43.51 apply (zenon_L349_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H25a | zenon_intro zenon_H32d ].
% 43.34/43.51 apply (zenon_L294_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H328 | zenon_intro zenon_H32e ].
% 43.34/43.51 apply (zenon_L304_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H2ab | zenon_intro zenon_H31a ].
% 43.34/43.51 apply (zenon_L197_); trivial.
% 43.34/43.51 apply (zenon_L245_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ].
% 43.34/43.51 exact (zenon_H15 zenon_H14).
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ].
% 43.34/43.51 apply (zenon_L251_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ].
% 43.34/43.51 apply (zenon_L173_); trivial.
% 43.34/43.51 apply (zenon_L252_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ].
% 43.34/43.51 apply (zenon_L326_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ].
% 43.34/43.51 apply (zenon_L251_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ].
% 43.34/43.51 apply (zenon_L173_); trivial.
% 43.34/43.51 apply (zenon_L252_); trivial.
% 43.34/43.51 apply (zenon_notand_s _ _ zenon_H585); [ zenon_intro zenon_H391 | zenon_intro zenon_H586 ].
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H563); [ zenon_intro zenon_H15 | zenon_intro zenon_H338 ].
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H567); [ zenon_intro zenon_H207 | zenon_intro zenon_H32c ].
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H33b); [ zenon_intro zenon_H214 | zenon_intro zenon_H338 ].
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H330); [ zenon_intro zenon_H21a | zenon_intro zenon_H325 ].
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H226 | zenon_intro zenon_H32c ].
% 43.34/43.51 apply (zenon_L368_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H25a | zenon_intro zenon_H32d ].
% 43.34/43.51 apply (zenon_L261_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H328 | zenon_intro zenon_H32e ].
% 43.34/43.51 apply (zenon_L291_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H2ab | zenon_intro zenon_H31a ].
% 43.34/43.51 apply (zenon_L197_); trivial.
% 43.34/43.51 apply (zenon_L245_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H309 | zenon_intro zenon_H326 ].
% 43.34/43.51 apply (zenon_L369_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H326); [ zenon_intro zenon_H219 | zenon_intro zenon_H327 ].
% 43.34/43.51 apply (zenon_L376_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H327); [ zenon_intro zenon_H2e1 | zenon_intro zenon_H274 ].
% 43.34/43.51 apply (zenon_L209_); trivial.
% 43.34/43.51 apply (zenon_L377_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ].
% 43.34/43.51 exact (zenon_H15 zenon_H14).
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ].
% 43.34/43.51 apply (zenon_L251_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ].
% 43.34/43.51 apply (zenon_L173_); trivial.
% 43.34/43.51 apply (zenon_L252_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H25a | zenon_intro zenon_H32d ].
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H33b); [ zenon_intro zenon_H214 | zenon_intro zenon_H338 ].
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H330); [ zenon_intro zenon_H21a | zenon_intro zenon_H325 ].
% 43.34/43.51 apply (zenon_L261_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H309 | zenon_intro zenon_H326 ].
% 43.34/43.51 apply (zenon_L230_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H326); [ zenon_intro zenon_H219 | zenon_intro zenon_H327 ].
% 43.34/43.51 apply (zenon_L375_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H327); [ zenon_intro zenon_H2e1 | zenon_intro zenon_H274 ].
% 43.34/43.51 apply (zenon_L209_); trivial.
% 43.34/43.51 apply (zenon_L259_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ].
% 43.34/43.51 exact (zenon_H15 zenon_H14).
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ].
% 43.34/43.51 apply (zenon_L258_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ].
% 43.34/43.51 apply (zenon_L173_); trivial.
% 43.34/43.51 apply (zenon_L252_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H328 | zenon_intro zenon_H32e ].
% 43.34/43.51 apply (zenon_L309_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H2ab | zenon_intro zenon_H31a ].
% 43.34/43.51 apply (zenon_L197_); trivial.
% 43.34/43.51 apply (zenon_L245_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ].
% 43.34/43.51 apply (zenon_L326_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ].
% 43.34/43.51 apply (zenon_L251_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ].
% 43.34/43.51 apply (zenon_L173_); trivial.
% 43.34/43.51 apply (zenon_L252_); trivial.
% 43.34/43.51 apply (zenon_notand_s _ _ zenon_H586); [ zenon_intro zenon_H39f | zenon_intro zenon_H587 ].
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H563); [ zenon_intro zenon_H15 | zenon_intro zenon_H338 ].
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H33b); [ zenon_intro zenon_H214 | zenon_intro zenon_H338 ].
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H226 | zenon_intro zenon_H32c ].
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H338 ].
% 43.34/43.51 apply (zenon_L388_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ].
% 43.34/43.51 exact (zenon_H15 zenon_H14).
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ].
% 43.34/43.51 apply (zenon_L251_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ].
% 43.34/43.51 apply (zenon_L173_); trivial.
% 43.34/43.51 apply (zenon_L252_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H25a | zenon_intro zenon_H32d ].
% 43.34/43.51 apply (zenon_L389_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H328 | zenon_intro zenon_H32e ].
% 43.34/43.51 apply (zenon_L304_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H2ab | zenon_intro zenon_H31a ].
% 43.34/43.51 apply (zenon_L197_); trivial.
% 43.34/43.51 apply (zenon_L245_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ].
% 43.34/43.51 exact (zenon_H15 zenon_H14).
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ].
% 43.34/43.51 apply (zenon_L251_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ].
% 43.34/43.51 apply (zenon_L173_); trivial.
% 43.34/43.51 apply (zenon_L252_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ].
% 43.34/43.51 apply (zenon_L326_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ].
% 43.34/43.51 apply (zenon_L251_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ].
% 43.34/43.51 apply (zenon_L173_); trivial.
% 43.34/43.51 apply (zenon_L252_); trivial.
% 43.34/43.51 apply (zenon_notand_s _ _ zenon_H587); [ zenon_intro zenon_H3ab | zenon_intro zenon_H588 ].
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H563); [ zenon_intro zenon_H15 | zenon_intro zenon_H338 ].
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H33b); [ zenon_intro zenon_H214 | zenon_intro zenon_H338 ].
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H330); [ zenon_intro zenon_H21a | zenon_intro zenon_H325 ].
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H226 | zenon_intro zenon_H32c ].
% 43.34/43.51 apply (zenon_L393_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H25a | zenon_intro zenon_H32d ].
% 43.34/43.51 apply (zenon_L261_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H328 | zenon_intro zenon_H32e ].
% 43.34/43.51 apply (zenon_L291_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H2ab | zenon_intro zenon_H31a ].
% 43.34/43.51 apply (zenon_L197_); trivial.
% 43.34/43.51 apply (zenon_L245_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H309 | zenon_intro zenon_H326 ].
% 43.34/43.51 apply (zenon_L395_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H326); [ zenon_intro zenon_H219 | zenon_intro zenon_H327 ].
% 43.34/43.51 apply (zenon_L397_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H327); [ zenon_intro zenon_H2e1 | zenon_intro zenon_H274 ].
% 43.34/43.51 apply (zenon_L209_); trivial.
% 43.34/43.51 apply (zenon_L398_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ].
% 43.34/43.51 exact (zenon_H15 zenon_H14).
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ].
% 43.34/43.51 apply (zenon_L251_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ].
% 43.34/43.51 apply (zenon_L173_); trivial.
% 43.34/43.51 apply (zenon_L252_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ].
% 43.34/43.51 apply (zenon_L326_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ].
% 43.34/43.51 apply (zenon_L251_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ].
% 43.34/43.51 apply (zenon_L173_); trivial.
% 43.34/43.51 apply (zenon_L252_); trivial.
% 43.34/43.51 apply (zenon_notand_s _ _ zenon_H588); [ zenon_intro zenon_H3bc | zenon_intro zenon_H589 ].
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H563); [ zenon_intro zenon_H15 | zenon_intro zenon_H338 ].
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H33b); [ zenon_intro zenon_H214 | zenon_intro zenon_H338 ].
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H330); [ zenon_intro zenon_H21a | zenon_intro zenon_H325 ].
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H226 | zenon_intro zenon_H32c ].
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H354); [ zenon_intro zenon_H346 | zenon_intro zenon_H338 ].
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H32f); [ zenon_intro zenon_H310 | zenon_intro zenon_H325 ].
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H36d); [ zenon_intro zenon_H2ad | zenon_intro zenon_H32c ].
% 43.34/43.51 apply (zenon_L405_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H25a | zenon_intro zenon_H32d ].
% 43.34/43.51 apply (zenon_L408_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H328 | zenon_intro zenon_H32e ].
% 43.34/43.51 apply (zenon_L290_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H2ab | zenon_intro zenon_H31a ].
% 43.34/43.51 apply (zenon_L197_); trivial.
% 43.34/43.51 apply (zenon_L245_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H309 | zenon_intro zenon_H326 ].
% 43.34/43.51 apply (zenon_L409_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H326); [ zenon_intro zenon_H219 | zenon_intro zenon_H327 ].
% 43.34/43.51 exact (zenon_H21a zenon_H219).
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H327); [ zenon_intro zenon_H2e1 | zenon_intro zenon_H274 ].
% 43.34/43.51 apply (zenon_L209_); trivial.
% 43.34/43.51 apply (zenon_L410_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ].
% 43.34/43.51 exact (zenon_H15 zenon_H14).
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ].
% 43.34/43.51 apply (zenon_L225_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ].
% 43.34/43.51 apply (zenon_L173_); trivial.
% 43.34/43.51 apply (zenon_L252_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H25a | zenon_intro zenon_H32d ].
% 43.34/43.51 apply (zenon_L411_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H328 | zenon_intro zenon_H32e ].
% 43.34/43.51 apply (zenon_L291_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H2ab | zenon_intro zenon_H31a ].
% 43.34/43.51 apply (zenon_L197_); trivial.
% 43.34/43.51 apply (zenon_L245_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H309 | zenon_intro zenon_H326 ].
% 43.34/43.51 apply (zenon_L412_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H326); [ zenon_intro zenon_H219 | zenon_intro zenon_H327 ].
% 43.34/43.51 apply (zenon_L416_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H327); [ zenon_intro zenon_H2e1 | zenon_intro zenon_H274 ].
% 43.34/43.51 apply (zenon_L209_); trivial.
% 43.34/43.51 apply (zenon_L417_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ].
% 43.34/43.51 exact (zenon_H15 zenon_H14).
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ].
% 43.34/43.51 apply (zenon_L251_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ].
% 43.34/43.51 apply (zenon_L173_); trivial.
% 43.34/43.51 apply (zenon_L252_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ].
% 43.34/43.51 apply (zenon_L326_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ].
% 43.34/43.51 apply (zenon_L251_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ].
% 43.34/43.51 apply (zenon_L173_); trivial.
% 43.34/43.51 apply (zenon_L252_); trivial.
% 43.34/43.51 apply (zenon_notand_s _ _ zenon_H589); [ zenon_intro zenon_H3c8 | zenon_intro zenon_H58a ].
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H563); [ zenon_intro zenon_H15 | zenon_intro zenon_H338 ].
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H33b); [ zenon_intro zenon_H214 | zenon_intro zenon_H338 ].
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H330); [ zenon_intro zenon_H21a | zenon_intro zenon_H325 ].
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H226 | zenon_intro zenon_H32c ].
% 43.34/43.51 apply (zenon_L429_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H25a | zenon_intro zenon_H32d ].
% 43.34/43.51 apply (zenon_L431_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H328 | zenon_intro zenon_H32e ].
% 43.34/43.51 apply (zenon_L291_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H2ab | zenon_intro zenon_H31a ].
% 43.34/43.51 apply (zenon_L197_); trivial.
% 43.34/43.51 apply (zenon_L245_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H309 | zenon_intro zenon_H326 ].
% 43.34/43.51 apply (zenon_L432_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H326); [ zenon_intro zenon_H219 | zenon_intro zenon_H327 ].
% 43.34/43.51 apply (zenon_L435_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H327); [ zenon_intro zenon_H2e1 | zenon_intro zenon_H274 ].
% 43.34/43.51 apply (zenon_L209_); trivial.
% 43.34/43.51 apply (zenon_L436_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ].
% 43.34/43.51 exact (zenon_H15 zenon_H14).
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ].
% 43.34/43.51 apply (zenon_L251_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ].
% 43.34/43.51 apply (zenon_L173_); trivial.
% 43.34/43.51 apply (zenon_L252_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ].
% 43.34/43.51 apply (zenon_L326_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ].
% 43.34/43.51 apply (zenon_L251_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ].
% 43.34/43.51 apply (zenon_L173_); trivial.
% 43.34/43.51 apply (zenon_L252_); trivial.
% 43.34/43.51 apply (zenon_notand_s _ _ zenon_H58a); [ zenon_intro zenon_H3d4 | zenon_intro zenon_H58b ].
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H563); [ zenon_intro zenon_H15 | zenon_intro zenon_H338 ].
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H33b); [ zenon_intro zenon_H214 | zenon_intro zenon_H338 ].
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H330); [ zenon_intro zenon_H21a | zenon_intro zenon_H325 ].
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H226 | zenon_intro zenon_H32c ].
% 43.34/43.51 apply (zenon_L451_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H25a | zenon_intro zenon_H32d ].
% 43.34/43.51 apply (zenon_L453_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H328 | zenon_intro zenon_H32e ].
% 43.34/43.51 apply (zenon_L291_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H2ab | zenon_intro zenon_H31a ].
% 43.34/43.51 apply (zenon_L197_); trivial.
% 43.34/43.51 apply (zenon_L245_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H309 | zenon_intro zenon_H326 ].
% 43.34/43.51 apply (zenon_L455_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H326); [ zenon_intro zenon_H219 | zenon_intro zenon_H327 ].
% 43.34/43.51 apply (zenon_L458_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H327); [ zenon_intro zenon_H2e1 | zenon_intro zenon_H274 ].
% 43.34/43.51 apply (zenon_L209_); trivial.
% 43.34/43.51 apply (zenon_L462_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ].
% 43.34/43.51 exact (zenon_H15 zenon_H14).
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ].
% 43.34/43.51 apply (zenon_L251_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ].
% 43.34/43.51 apply (zenon_L173_); trivial.
% 43.34/43.51 apply (zenon_L252_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ].
% 43.34/43.51 apply (zenon_L326_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ].
% 43.34/43.51 apply (zenon_L251_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ].
% 43.34/43.51 apply (zenon_L173_); trivial.
% 43.34/43.51 apply (zenon_L252_); trivial.
% 43.34/43.51 apply (zenon_notand_s _ _ zenon_H58b); [ zenon_intro zenon_H3e0 | zenon_intro zenon_H58c ].
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H563); [ zenon_intro zenon_H15 | zenon_intro zenon_H338 ].
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H33b); [ zenon_intro zenon_H214 | zenon_intro zenon_H338 ].
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H330); [ zenon_intro zenon_H21a | zenon_intro zenon_H325 ].
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H226 | zenon_intro zenon_H32c ].
% 43.34/43.51 apply (zenon_L474_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H25a | zenon_intro zenon_H32d ].
% 43.34/43.51 apply (zenon_L476_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H328 | zenon_intro zenon_H32e ].
% 43.34/43.51 apply (zenon_L291_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H2ab | zenon_intro zenon_H31a ].
% 43.34/43.51 apply (zenon_L197_); trivial.
% 43.34/43.51 apply (zenon_L245_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H309 | zenon_intro zenon_H326 ].
% 43.34/43.51 apply (zenon_L478_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H326); [ zenon_intro zenon_H219 | zenon_intro zenon_H327 ].
% 43.34/43.51 apply (zenon_L481_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H327); [ zenon_intro zenon_H2e1 | zenon_intro zenon_H274 ].
% 43.34/43.51 apply (zenon_L209_); trivial.
% 43.34/43.51 apply (zenon_L485_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ].
% 43.34/43.51 exact (zenon_H15 zenon_H14).
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ].
% 43.34/43.51 apply (zenon_L251_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ].
% 43.34/43.51 apply (zenon_L173_); trivial.
% 43.34/43.51 apply (zenon_L252_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ].
% 43.34/43.51 apply (zenon_L326_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ].
% 43.34/43.51 apply (zenon_L251_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ].
% 43.34/43.51 apply (zenon_L173_); trivial.
% 43.34/43.51 apply (zenon_L252_); trivial.
% 43.34/43.51 apply (zenon_notand_s _ _ zenon_H58c); [ zenon_intro zenon_H3f2 | zenon_intro zenon_H58d ].
% 43.34/43.51 apply (zenon_L486_); trivial.
% 43.34/43.51 apply (zenon_notand_s _ _ zenon_H58d); [ zenon_intro zenon_H3f9 | zenon_intro zenon_H58e ].
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H563); [ zenon_intro zenon_H15 | zenon_intro zenon_H338 ].
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H33b); [ zenon_intro zenon_H214 | zenon_intro zenon_H338 ].
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H330); [ zenon_intro zenon_H21a | zenon_intro zenon_H325 ].
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H226 | zenon_intro zenon_H32c ].
% 43.34/43.51 apply (zenon_L499_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H25a | zenon_intro zenon_H32d ].
% 43.34/43.51 apply (zenon_L507_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H328 | zenon_intro zenon_H32e ].
% 43.34/43.51 apply (zenon_L291_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H2ab | zenon_intro zenon_H31a ].
% 43.34/43.51 apply (zenon_L197_); trivial.
% 43.34/43.51 apply (zenon_L245_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H309 | zenon_intro zenon_H326 ].
% 43.34/43.51 apply (zenon_L501_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H326); [ zenon_intro zenon_H219 | zenon_intro zenon_H327 ].
% 43.34/43.51 apply (zenon_L509_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H327); [ zenon_intro zenon_H2e1 | zenon_intro zenon_H274 ].
% 43.34/43.51 apply (zenon_L209_); trivial.
% 43.34/43.51 apply (zenon_L505_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ].
% 43.34/43.51 exact (zenon_H15 zenon_H14).
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ].
% 43.34/43.51 apply (zenon_L251_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ].
% 43.34/43.51 apply (zenon_L173_); trivial.
% 43.34/43.51 apply (zenon_L252_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ].
% 43.34/43.51 apply (zenon_L326_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ].
% 43.34/43.51 apply (zenon_L251_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ].
% 43.34/43.51 apply (zenon_L173_); trivial.
% 43.34/43.51 apply (zenon_L252_); trivial.
% 43.34/43.51 apply (zenon_notand_s _ _ zenon_H58e); [ zenon_intro zenon_H40c | zenon_intro zenon_H58f ].
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H563); [ zenon_intro zenon_H15 | zenon_intro zenon_H338 ].
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H338 ].
% 43.34/43.51 apply (zenon_L515_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ].
% 43.34/43.51 exact (zenon_H15 zenon_H14).
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ].
% 43.34/43.51 apply (zenon_L251_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ].
% 43.34/43.51 apply (zenon_L173_); trivial.
% 43.34/43.51 apply (zenon_L252_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ].
% 43.34/43.51 apply (zenon_L326_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ].
% 43.34/43.51 apply (zenon_L251_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ].
% 43.34/43.51 apply (zenon_L173_); trivial.
% 43.34/43.51 apply (zenon_L252_); trivial.
% 43.34/43.51 apply (zenon_notand_s _ _ zenon_H58f); [ zenon_intro zenon_H41e | zenon_intro zenon_H590 ].
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H563); [ zenon_intro zenon_H15 | zenon_intro zenon_H338 ].
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H338 ].
% 43.34/43.51 apply (zenon_L523_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ].
% 43.34/43.51 exact (zenon_H15 zenon_H14).
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ].
% 43.34/43.51 apply (zenon_L251_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ].
% 43.34/43.51 apply (zenon_L173_); trivial.
% 43.34/43.51 apply (zenon_L252_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ].
% 43.34/43.51 apply (zenon_L326_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ].
% 43.34/43.51 apply (zenon_L251_); trivial.
% 43.34/43.51 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ].
% 43.34/43.51 apply (zenon_L173_); trivial.
% 43.34/43.51 apply (zenon_L252_); trivial.
% 43.34/43.51 apply (zenon_notand_s _ _ zenon_H590); [ zenon_intro zenon_H430 | zenon_intro zenon_H591 ].
% 43.34/43.51 apply (zenon_L525_); trivial.
% 43.34/43.51 apply (zenon_notand_s _ _ zenon_H591); [ zenon_intro zenon_H43c | zenon_intro zenon_H592 ].
% 43.34/43.51 apply (zenon_L527_); trivial.
% 43.34/43.51 apply (zenon_notand_s _ _ zenon_H592); [ zenon_intro zenon_H446 | zenon_intro zenon_H593 ].
% 43.34/43.51 apply (zenon_L528_); trivial.
% 43.34/43.51 apply (zenon_notand_s _ _ zenon_H593); [ zenon_intro zenon_H448 | zenon_intro zenon_H594 ].
% 43.34/43.51 apply (zenon_L529_); trivial.
% 43.34/43.51 apply (zenon_notand_s _ _ zenon_H594); [ zenon_intro zenon_H44c | zenon_intro zenon_H452 ].
% 43.34/43.51 apply (zenon_L530_); trivial.
% 43.34/43.51 apply (zenon_L531_); trivial.
% 43.34/43.51 Qed.
% 43.34/43.51 % SZS output end Proof
% 43.34/43.51 (* END-PROOF *)
% 43.34/43.51 nodes searched: 1502768
% 43.34/43.51 max branch formulas: 1958
% 43.34/43.51 proof nodes created: 17041
% 43.34/43.51 formulas created: 856153
% 43.34/43.51
%------------------------------------------------------------------------------