TSTP Solution File: ALG111+1 by Zenon---0.7.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : ALG111+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Thu Jul 14 18:29:27 EDT 2022
% Result : Theorem 19.63s 19.82s
% Output : Proof 19.75s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : ALG111+1 : TPTP v8.1.0. Released v2.7.0.
% 0.11/0.12 % Command : run_zenon %s %d
% 0.12/0.33 % Computer : n017.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Thu Jun 9 01:36:18 EDT 2022
% 0.12/0.33 % CPUTime :
% 19.63/19.82 (* PROOF-FOUND *)
% 19.63/19.82 % SZS status Theorem
% 19.63/19.82 (* BEGIN-PROOF *)
% 19.63/19.82 % SZS output start Proof
% 19.63/19.82 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))))))))))))))))))))))))))).
% 19.63/19.82 Proof.
% 19.63/19.82 assert (zenon_L1_ : (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((op2 (e20) (e21)) = (e20))) -> (~((op2 (e20) (e22)) = (e20))) -> (~((op2 (e20) (e23)) = (e20))) -> False).
% 19.63/19.82 do 0 intro. intros zenon_H12 zenon_H13 zenon_H14 zenon_H15 zenon_H16.
% 19.63/19.82 apply (zenon_or_s _ _ zenon_H12); [ zenon_intro zenon_H18 | zenon_intro zenon_H17 ].
% 19.63/19.82 exact (zenon_H13 zenon_H18).
% 19.63/19.82 apply (zenon_or_s _ _ zenon_H17); [ zenon_intro zenon_H1a | zenon_intro zenon_H19 ].
% 19.63/19.82 exact (zenon_H14 zenon_H1a).
% 19.63/19.82 apply (zenon_or_s _ _ zenon_H19); [ zenon_intro zenon_H1c | zenon_intro zenon_H1b ].
% 19.63/19.82 exact (zenon_H15 zenon_H1c).
% 19.63/19.82 exact (zenon_H16 zenon_H1b).
% 19.63/19.82 (* end of lemma zenon_L1_ *)
% 19.63/19.82 assert (zenon_L2_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (e23))) -> (~((op2 (e23) (e21)) = (e23))) -> (~((op2 (e23) (e22)) = (e23))) -> (~((op2 (e23) (e23)) = (e23))) -> False).
% 19.63/19.82 do 0 intro. intros zenon_H1d zenon_H1e zenon_H1f zenon_H20 zenon_H21.
% 19.63/19.82 apply (zenon_or_s _ _ zenon_H1d); [ zenon_intro zenon_H23 | zenon_intro zenon_H22 ].
% 19.63/19.82 exact (zenon_H1e zenon_H23).
% 19.63/19.82 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H25 | zenon_intro zenon_H24 ].
% 19.63/19.82 exact (zenon_H1f zenon_H25).
% 19.63/19.82 apply (zenon_or_s _ _ zenon_H24); [ zenon_intro zenon_H27 | zenon_intro zenon_H26 ].
% 19.63/19.82 exact (zenon_H20 zenon_H27).
% 19.63/19.82 exact (zenon_H21 zenon_H26).
% 19.63/19.82 (* end of lemma zenon_L2_ *)
% 19.63/19.82 assert (zenon_L3_ : ((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23)))) -> (~((op2 (e23) (e20)) = (e23))) -> (~((op2 (e23) (e21)) = (e23))) -> (~((op2 (e23) (e22)) = (e23))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> False).
% 19.63/19.82 do 0 intro. intros zenon_H28 zenon_H1e zenon_H1f zenon_H20 zenon_H1d.
% 19.63/19.82 apply (zenon_or_s _ _ zenon_H28); [ zenon_intro zenon_H21 | zenon_intro zenon_H21 ].
% 19.63/19.82 apply (zenon_L2_); trivial.
% 19.63/19.82 apply (zenon_L2_); trivial.
% 19.63/19.82 (* end of lemma zenon_L3_ *)
% 19.63/19.82 assert (zenon_L4_ : (~((e23) = (e23))) -> False).
% 19.63/19.82 do 0 intro. intros zenon_H29.
% 19.63/19.82 apply zenon_H29. apply refl_equal.
% 19.63/19.82 (* end of lemma zenon_L4_ *)
% 19.63/19.82 assert (zenon_L5_ : (~((op2 (e23) (op2 (e23) (e23))) = (op2 (e23) (e21)))) -> ((e21) = (op2 (e23) (e23))) -> False).
% 19.63/19.82 do 0 intro. intros zenon_H2a zenon_H2b.
% 19.63/19.82 cut (((op2 (e23) (e23)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H2c].
% 19.63/19.82 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H29].
% 19.63/19.82 congruence.
% 19.63/19.82 apply zenon_H29. apply refl_equal.
% 19.63/19.82 apply zenon_H2c. apply sym_equal. exact zenon_H2b.
% 19.63/19.82 (* end of lemma zenon_L5_ *)
% 19.63/19.82 assert (zenon_L6_ : (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> ((e21) = (op2 (e23) (e23))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((op2 (e21) (e21)) = (e22))) -> (~((op2 (e21) (e21)) = (e23))) -> False).
% 19.63/19.82 do 0 intro. intros zenon_H2d zenon_H2b zenon_H2e zenon_H2f zenon_H30 zenon_H31 zenon_H32.
% 19.63/19.82 apply (zenon_or_s _ _ zenon_H2d); [ zenon_intro zenon_H34 | zenon_intro zenon_H33 ].
% 19.63/19.82 cut (((e20) = (op2 (e23) (op2 (e23) (e23)))) = ((op2 (e21) (e21)) = (op2 (e23) (e21)))).
% 19.63/19.82 intro zenon_D_pnotp.
% 19.63/19.82 apply zenon_H2f.
% 19.63/19.82 rewrite <- zenon_D_pnotp.
% 19.63/19.82 exact zenon_H2e.
% 19.63/19.82 cut (((op2 (e23) (op2 (e23) (e23))) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H2a].
% 19.63/19.82 cut (((e20) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H35].
% 19.63/19.82 congruence.
% 19.63/19.82 elim (classic ((op2 (e21) (e21)) = (op2 (e21) (e21)))); [ zenon_intro zenon_H36 | zenon_intro zenon_H37 ].
% 19.63/19.82 cut (((op2 (e21) (e21)) = (op2 (e21) (e21))) = ((e20) = (op2 (e21) (e21)))).
% 19.63/19.82 intro zenon_D_pnotp.
% 19.63/19.82 apply zenon_H35.
% 19.63/19.82 rewrite <- zenon_D_pnotp.
% 19.63/19.82 exact zenon_H36.
% 19.63/19.82 cut (((op2 (e21) (e21)) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H37].
% 19.63/19.82 cut (((op2 (e21) (e21)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H38].
% 19.63/19.82 congruence.
% 19.63/19.82 exact (zenon_H38 zenon_H34).
% 19.63/19.82 apply zenon_H37. apply refl_equal.
% 19.63/19.82 apply zenon_H37. apply refl_equal.
% 19.63/19.82 apply (zenon_L5_); trivial.
% 19.63/19.82 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_H3a | zenon_intro zenon_H39 ].
% 19.63/19.82 exact (zenon_H30 zenon_H3a).
% 19.63/19.82 apply (zenon_or_s _ _ zenon_H39); [ zenon_intro zenon_H3c | zenon_intro zenon_H3b ].
% 19.63/19.82 exact (zenon_H31 zenon_H3c).
% 19.63/19.82 exact (zenon_H32 zenon_H3b).
% 19.63/19.82 (* end of lemma zenon_L6_ *)
% 19.63/19.82 assert (zenon_L7_ : ((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e21) (e21)) = (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((op2 (e21) (e21)) = (e23))) -> (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e21)) = (e23))) -> (~((op2 (e23) (e20)) = (e23))) -> ((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23)))) -> False).
% 19.63/19.82 do 0 intro. intros zenon_H3d zenon_H2f zenon_H2e zenon_H2b zenon_H30 zenon_H32 zenon_H2d zenon_H1d zenon_H1f zenon_H1e zenon_H28.
% 19.63/19.82 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H20 | zenon_intro zenon_H31 ].
% 19.63/19.82 apply (zenon_L3_); trivial.
% 19.63/19.82 apply (zenon_L6_); trivial.
% 19.63/19.82 (* end of lemma zenon_L7_ *)
% 19.63/19.82 assert (zenon_L8_ : (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((op2 (e20) (e20)) = (e21))) -> (~((op2 (e20) (e20)) = (e22))) -> (~((op2 (e20) (e20)) = (e23))) -> False).
% 19.63/19.82 do 0 intro. intros zenon_H3e zenon_H13 zenon_H3f zenon_H40 zenon_H41.
% 19.63/19.82 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H18 | zenon_intro zenon_H42 ].
% 19.63/19.82 exact (zenon_H13 zenon_H18).
% 19.63/19.82 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H44 | zenon_intro zenon_H43 ].
% 19.63/19.82 exact (zenon_H3f zenon_H44).
% 19.63/19.82 apply (zenon_or_s _ _ zenon_H43); [ zenon_intro zenon_H46 | zenon_intro zenon_H45 ].
% 19.63/19.82 exact (zenon_H40 zenon_H46).
% 19.63/19.82 exact (zenon_H41 zenon_H45).
% 19.63/19.82 (* end of lemma zenon_L8_ *)
% 19.63/19.82 assert (zenon_L9_ : ((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e23) (e23)) = (e21)))) -> ((e21) = (op2 (e23) (e23))) -> ((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23)))) -> (~((op2 (e23) (e20)) = (e23))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (e23))) -> (~((op2 (e20) (e20)) = (e21))) -> (~((op2 (e20) (e20)) = (e20))) -> ((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e20) (e20)) = (e22)))) -> False).
% 19.63/19.82 do 0 intro. intros zenon_H47 zenon_H2b zenon_H28 zenon_H1e zenon_H1d zenon_H3e zenon_H41 zenon_H3f zenon_H13 zenon_H48.
% 19.63/19.82 apply (zenon_or_s _ _ zenon_H47); [ zenon_intro zenon_H1f | zenon_intro zenon_H2c ].
% 19.63/19.83 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H20 | zenon_intro zenon_H40 ].
% 19.63/19.83 apply (zenon_L3_); trivial.
% 19.63/19.83 apply (zenon_L8_); trivial.
% 19.63/19.83 apply zenon_H2c. apply sym_equal. exact zenon_H2b.
% 19.63/19.83 (* end of lemma zenon_L9_ *)
% 19.63/19.83 assert (zenon_L10_ : (~((op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23))) = (op2 (e20) (e21)))) -> ((e21) = (op2 (e23) (e23))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> False).
% 19.63/19.83 do 0 intro. intros zenon_H49 zenon_H2b zenon_H2e.
% 19.63/19.83 cut (((op2 (e23) (e23)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H2c].
% 19.63/19.83 cut (((op2 (e23) (op2 (e23) (e23))) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H4a].
% 19.63/19.83 congruence.
% 19.63/19.83 apply zenon_H4a. apply sym_equal. exact zenon_H2e.
% 19.63/19.83 apply zenon_H2c. apply sym_equal. exact zenon_H2b.
% 19.63/19.83 (* end of lemma zenon_L10_ *)
% 19.63/19.83 assert (zenon_L11_ : (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> (~((op2 (e21) (e21)) = (e20))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (e23))) -> False).
% 19.63/19.83 do 0 intro. intros zenon_H2d zenon_H38 zenon_H30 zenon_H4b zenon_H2e zenon_H2b zenon_H4c zenon_H32.
% 19.63/19.83 apply (zenon_or_s _ _ zenon_H2d); [ zenon_intro zenon_H34 | zenon_intro zenon_H33 ].
% 19.63/19.83 exact (zenon_H38 zenon_H34).
% 19.63/19.83 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_H3a | zenon_intro zenon_H39 ].
% 19.63/19.83 exact (zenon_H30 zenon_H3a).
% 19.63/19.83 apply (zenon_or_s _ _ zenon_H39); [ zenon_intro zenon_H3c | zenon_intro zenon_H3b ].
% 19.63/19.83 elim (classic ((op2 (e21) (e21)) = (op2 (e21) (e21)))); [ zenon_intro zenon_H36 | zenon_intro zenon_H37 ].
% 19.63/19.83 cut (((op2 (e21) (e21)) = (op2 (e21) (e21))) = ((op2 (e20) (e21)) = (op2 (e21) (e21)))).
% 19.63/19.83 intro zenon_D_pnotp.
% 19.63/19.83 apply zenon_H4b.
% 19.63/19.83 rewrite <- zenon_D_pnotp.
% 19.63/19.83 exact zenon_H36.
% 19.63/19.83 cut (((op2 (e21) (e21)) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H37].
% 19.63/19.83 cut (((op2 (e21) (e21)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H4d].
% 19.63/19.83 congruence.
% 19.63/19.83 cut (((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) = ((op2 (e21) (e21)) = (op2 (e20) (e21)))).
% 19.63/19.83 intro zenon_D_pnotp.
% 19.63/19.83 apply zenon_H4d.
% 19.63/19.83 rewrite <- zenon_D_pnotp.
% 19.63/19.83 exact zenon_H4c.
% 19.63/19.83 cut (((op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23))) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H49].
% 19.63/19.83 cut (((e22) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H4e].
% 19.63/19.83 congruence.
% 19.63/19.83 elim (classic ((op2 (e21) (e21)) = (op2 (e21) (e21)))); [ zenon_intro zenon_H36 | zenon_intro zenon_H37 ].
% 19.63/19.83 cut (((op2 (e21) (e21)) = (op2 (e21) (e21))) = ((e22) = (op2 (e21) (e21)))).
% 19.63/19.83 intro zenon_D_pnotp.
% 19.63/19.83 apply zenon_H4e.
% 19.63/19.83 rewrite <- zenon_D_pnotp.
% 19.63/19.83 exact zenon_H36.
% 19.63/19.83 cut (((op2 (e21) (e21)) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H37].
% 19.63/19.83 cut (((op2 (e21) (e21)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H31].
% 19.63/19.83 congruence.
% 19.63/19.83 exact (zenon_H31 zenon_H3c).
% 19.63/19.83 apply zenon_H37. apply refl_equal.
% 19.63/19.83 apply zenon_H37. apply refl_equal.
% 19.63/19.83 apply (zenon_L10_); trivial.
% 19.63/19.83 apply zenon_H37. apply refl_equal.
% 19.63/19.83 apply zenon_H37. apply refl_equal.
% 19.63/19.83 exact (zenon_H32 zenon_H3b).
% 19.63/19.83 (* end of lemma zenon_L11_ *)
% 19.63/19.83 assert (zenon_L12_ : ((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e21) (e21)) = (e21)))) -> (~((op2 (e21) (e21)) = (e20))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e21) (e21)) = (e23))) -> (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> False).
% 19.63/19.83 do 0 intro. intros zenon_H4f zenon_H38 zenon_H4b zenon_H4c zenon_H2e zenon_H2b zenon_H32 zenon_H2d.
% 19.63/19.83 apply (zenon_or_s _ _ zenon_H4f); [ zenon_intro zenon_H30 | zenon_intro zenon_H30 ].
% 19.63/19.83 apply (zenon_L11_); trivial.
% 19.63/19.83 apply (zenon_L11_); trivial.
% 19.63/19.83 (* end of lemma zenon_L12_ *)
% 19.63/19.83 assert (zenon_L13_ : ((~((op2 (e23) (e20)) = (e23)))\/(~((op2 (e21) (e21)) = (e20)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e21) (e21)) = (e21)))) -> ((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e21) (e21)) = (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((op2 (e21) (e21)) = (e23))) -> (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23)))) -> ((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e23) (e23)) = (e21)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (e23))) -> (~((op2 (e20) (e20)) = (e20))) -> ((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e20) (e20)) = (e22)))) -> ((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e20) (e20)) = (e21)))) -> False).
% 19.63/19.83 do 0 intro. intros zenon_H50 zenon_H4c zenon_H4b zenon_H4f zenon_H3d zenon_H2f zenon_H2e zenon_H2b zenon_H30 zenon_H32 zenon_H2d zenon_H1d zenon_H28 zenon_H47 zenon_H3e zenon_H41 zenon_H13 zenon_H48 zenon_H51.
% 19.63/19.83 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H1e | zenon_intro zenon_H38 ].
% 19.63/19.83 apply (zenon_or_s _ _ zenon_H51); [ zenon_intro zenon_H1f | zenon_intro zenon_H3f ].
% 19.63/19.83 apply (zenon_L7_); trivial.
% 19.63/19.83 apply (zenon_L9_); trivial.
% 19.63/19.83 apply (zenon_L12_); trivial.
% 19.63/19.83 (* end of lemma zenon_L13_ *)
% 19.63/19.83 assert (zenon_L14_ : ((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e21) (e21)) = (e23)))) -> ((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e23) (e23)) = (e21)))) -> ((e21) = (op2 (e23) (e23))) -> ((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (e23))) -> (~((op2 (e20) (e20)) = (e21))) -> ((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e20) (e20)) = (e22)))) -> (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e21)) = (e21))) -> ((~((op2 (e23) (e20)) = (e23)))\/(~((op2 (e21) (e21)) = (e20)))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((op2 (e20) (e21)) = (e20))) -> (~((op2 (e20) (e22)) = (e20))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> False).
% 19.63/19.83 do 0 intro. intros zenon_H52 zenon_H47 zenon_H2b zenon_H28 zenon_H1d zenon_H3e zenon_H41 zenon_H3f zenon_H48 zenon_H2d zenon_H2e zenon_H4c zenon_H4b zenon_H30 zenon_H50 zenon_H13 zenon_H14 zenon_H15 zenon_H12.
% 19.63/19.83 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H16 | zenon_intro zenon_H32 ].
% 19.63/19.83 apply (zenon_L1_); trivial.
% 19.63/19.83 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H1e | zenon_intro zenon_H38 ].
% 19.63/19.83 apply (zenon_L9_); trivial.
% 19.63/19.83 apply (zenon_L11_); trivial.
% 19.63/19.83 (* end of lemma zenon_L14_ *)
% 19.63/19.83 assert (zenon_L15_ : ((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e20) (e20)) = (e23)))) -> ((~((op2 (e23) (e20)) = (e23)))\/(~((op2 (e21) (e21)) = (e20)))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> ((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e20) (e20)) = (e22)))) -> (~((op2 (e20) (e20)) = (e21))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23)))) -> ((e21) = (op2 (e23) (e23))) -> ((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e23) (e23)) = (e21)))) -> ((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e21) (e21)) = (e23)))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((op2 (e20) (e21)) = (e20))) -> (~((op2 (e20) (e22)) = (e20))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> False).
% 19.63/19.83 do 0 intro. intros zenon_H53 zenon_H50 zenon_H30 zenon_H4b zenon_H4c zenon_H2e zenon_H2d zenon_H48 zenon_H3f zenon_H3e zenon_H1d zenon_H28 zenon_H2b zenon_H47 zenon_H52 zenon_H13 zenon_H14 zenon_H15 zenon_H12.
% 19.63/19.83 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H16 | zenon_intro zenon_H41 ].
% 19.63/19.83 apply (zenon_L1_); trivial.
% 19.63/19.83 apply (zenon_L14_); trivial.
% 19.63/19.83 (* end of lemma zenon_L15_ *)
% 19.63/19.83 assert (zenon_L16_ : ((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e21) (e21)) = (e21)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> (~((op2 (e20) (e22)) = (e20))) -> (~((op2 (e20) (e21)) = (e20))) -> (~((op2 (e20) (e20)) = (e20))) -> ((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e21) (e21)) = (e23)))) -> ((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e23) (e23)) = (e21)))) -> ((e21) = (op2 (e23) (e23))) -> ((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (e21))) -> ((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e20) (e20)) = (e22)))) -> (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((~((op2 (e23) (e20)) = (e23)))\/(~((op2 (e21) (e21)) = (e20)))) -> ((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e20) (e20)) = (e23)))) -> False).
% 19.63/19.83 do 0 intro. intros zenon_H4f zenon_H12 zenon_H15 zenon_H14 zenon_H13 zenon_H52 zenon_H47 zenon_H2b zenon_H28 zenon_H1d zenon_H3e zenon_H3f zenon_H48 zenon_H2d zenon_H2e zenon_H4c zenon_H4b zenon_H50 zenon_H53.
% 19.63/19.83 apply (zenon_or_s _ _ zenon_H4f); [ zenon_intro zenon_H30 | zenon_intro zenon_H30 ].
% 19.63/19.83 apply (zenon_L15_); trivial.
% 19.63/19.83 apply (zenon_L15_); trivial.
% 19.63/19.83 (* end of lemma zenon_L16_ *)
% 19.63/19.83 assert (zenon_L17_ : ((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e20) (e20)) = (e21)))) -> ((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e20) (e20)) = (e23)))) -> ((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e21) (e21)) = (e23)))) -> ((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e20) (e20)) = (e21)))) -> ((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e20) (e20)) = (e22)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e23) (e23)) = (e21)))) -> ((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> ((e21) = (op2 (e23) (e23))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e21) (e21)) = (e22)))) -> ((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e21) (e21)) = (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> ((~((op2 (e23) (e20)) = (e23)))\/(~((op2 (e21) (e21)) = (e20)))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((op2 (e20) (e21)) = (e20))) -> (~((op2 (e20) (e22)) = (e20))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> False).
% 19.63/19.83 do 0 intro. intros zenon_H54 zenon_H53 zenon_H52 zenon_H51 zenon_H48 zenon_H3e zenon_H47 zenon_H28 zenon_H1d zenon_H2d zenon_H2b zenon_H2e zenon_H2f zenon_H3d zenon_H4f zenon_H4b zenon_H4c zenon_H50 zenon_H13 zenon_H14 zenon_H15 zenon_H12.
% 19.63/19.83 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H16 | zenon_intro zenon_H41 ].
% 19.63/19.83 apply (zenon_L1_); trivial.
% 19.63/19.83 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H16 | zenon_intro zenon_H32 ].
% 19.63/19.83 apply (zenon_L1_); trivial.
% 19.63/19.83 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H30 | zenon_intro zenon_H3f ].
% 19.63/19.83 apply (zenon_L13_); trivial.
% 19.63/19.83 apply (zenon_L16_); trivial.
% 19.63/19.83 (* end of lemma zenon_L17_ *)
% 19.63/19.83 assert (zenon_L18_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (e10))) -> (~((op1 (e10) (e11)) = (e10))) -> (~((op1 (e10) (e12)) = (e10))) -> (~((op1 (e10) (e13)) = (e10))) -> False).
% 19.63/19.83 do 0 intro. intros zenon_H55 zenon_H56 zenon_H57 zenon_H58 zenon_H59.
% 19.63/19.83 apply (zenon_or_s _ _ zenon_H55); [ zenon_intro zenon_H5b | zenon_intro zenon_H5a ].
% 19.63/19.83 exact (zenon_H56 zenon_H5b).
% 19.63/19.83 apply (zenon_or_s _ _ zenon_H5a); [ zenon_intro zenon_H5d | zenon_intro zenon_H5c ].
% 19.63/19.83 exact (zenon_H57 zenon_H5d).
% 19.63/19.83 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H5f | zenon_intro zenon_H5e ].
% 19.63/19.83 exact (zenon_H58 zenon_H5f).
% 19.63/19.83 exact (zenon_H59 zenon_H5e).
% 19.63/19.83 (* end of lemma zenon_L18_ *)
% 19.63/19.83 assert (zenon_L19_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (e13))) -> (~((op1 (e13) (e11)) = (e13))) -> (~((op1 (e13) (e12)) = (e13))) -> (~((op1 (e13) (e13)) = (e13))) -> False).
% 19.63/19.83 do 0 intro. intros zenon_H60 zenon_H61 zenon_H62 zenon_H63 zenon_H64.
% 19.63/19.83 apply (zenon_or_s _ _ zenon_H60); [ zenon_intro zenon_H66 | zenon_intro zenon_H65 ].
% 19.63/19.83 exact (zenon_H61 zenon_H66).
% 19.63/19.83 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H68 | zenon_intro zenon_H67 ].
% 19.63/19.83 exact (zenon_H62 zenon_H68).
% 19.63/19.83 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H6a | zenon_intro zenon_H69 ].
% 19.63/19.83 exact (zenon_H63 zenon_H6a).
% 19.63/19.83 exact (zenon_H64 zenon_H69).
% 19.63/19.83 (* end of lemma zenon_L19_ *)
% 19.63/19.83 assert (zenon_L20_ : ((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))) -> (~((op1 (e13) (e10)) = (e13))) -> (~((op1 (e13) (e11)) = (e13))) -> (~((op1 (e13) (e12)) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> False).
% 19.63/19.83 do 0 intro. intros zenon_H6b zenon_H61 zenon_H62 zenon_H63 zenon_H60.
% 19.63/19.83 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H64 | zenon_intro zenon_H64 ].
% 19.63/19.83 apply (zenon_L19_); trivial.
% 19.63/19.83 apply (zenon_L19_); trivial.
% 19.63/19.83 (* end of lemma zenon_L20_ *)
% 19.63/19.83 assert (zenon_L21_ : (~((e13) = (e13))) -> False).
% 19.63/19.83 do 0 intro. intros zenon_H6c.
% 19.63/19.83 apply zenon_H6c. apply refl_equal.
% 19.63/19.83 (* end of lemma zenon_L21_ *)
% 19.63/19.83 assert (zenon_L22_ : (~((op1 (e13) (op1 (e13) (e13))) = (op1 (e13) (e11)))) -> ((e11) = (op1 (e13) (e13))) -> False).
% 19.63/19.83 do 0 intro. intros zenon_H6d zenon_H6e.
% 19.63/19.83 cut (((op1 (e13) (e13)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H6f].
% 19.63/19.83 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H6c].
% 19.63/19.83 congruence.
% 19.63/19.83 apply zenon_H6c. apply refl_equal.
% 19.63/19.83 apply zenon_H6f. apply sym_equal. exact zenon_H6e.
% 19.63/19.83 (* end of lemma zenon_L22_ *)
% 19.63/19.83 assert (zenon_L23_ : (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> ((e11) = (op1 (e13) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e11) (e11)) = (e12))) -> (~((op1 (e11) (e11)) = (e13))) -> False).
% 19.63/19.83 do 0 intro. intros zenon_H70 zenon_H6e zenon_H71 zenon_H72 zenon_H73 zenon_H74 zenon_H75.
% 19.63/19.83 apply (zenon_or_s _ _ zenon_H70); [ zenon_intro zenon_H77 | zenon_intro zenon_H76 ].
% 19.63/19.83 cut (((e10) = (op1 (e13) (op1 (e13) (e13)))) = ((op1 (e11) (e11)) = (op1 (e13) (e11)))).
% 19.63/19.83 intro zenon_D_pnotp.
% 19.63/19.83 apply zenon_H72.
% 19.63/19.83 rewrite <- zenon_D_pnotp.
% 19.63/19.83 exact zenon_H71.
% 19.63/19.83 cut (((op1 (e13) (op1 (e13) (e13))) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H6d].
% 19.63/19.83 cut (((e10) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H78].
% 19.63/19.83 congruence.
% 19.63/19.83 elim (classic ((op1 (e11) (e11)) = (op1 (e11) (e11)))); [ zenon_intro zenon_H79 | zenon_intro zenon_H7a ].
% 19.63/19.83 cut (((op1 (e11) (e11)) = (op1 (e11) (e11))) = ((e10) = (op1 (e11) (e11)))).
% 19.63/19.83 intro zenon_D_pnotp.
% 19.63/19.83 apply zenon_H78.
% 19.63/19.83 rewrite <- zenon_D_pnotp.
% 19.63/19.83 exact zenon_H79.
% 19.63/19.83 cut (((op1 (e11) (e11)) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H7a].
% 19.63/19.83 cut (((op1 (e11) (e11)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H7b].
% 19.63/19.83 congruence.
% 19.63/19.83 exact (zenon_H7b zenon_H77).
% 19.63/19.83 apply zenon_H7a. apply refl_equal.
% 19.63/19.83 apply zenon_H7a. apply refl_equal.
% 19.63/19.83 apply (zenon_L22_); trivial.
% 19.63/19.83 apply (zenon_or_s _ _ zenon_H76); [ zenon_intro zenon_H7d | zenon_intro zenon_H7c ].
% 19.63/19.83 exact (zenon_H73 zenon_H7d).
% 19.63/19.83 apply (zenon_or_s _ _ zenon_H7c); [ zenon_intro zenon_H7f | zenon_intro zenon_H7e ].
% 19.63/19.83 exact (zenon_H74 zenon_H7f).
% 19.63/19.83 exact (zenon_H75 zenon_H7e).
% 19.63/19.83 (* end of lemma zenon_L23_ *)
% 19.63/19.83 assert (zenon_L24_ : ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e11) (e11)) = (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e11) (e11)) = (e13))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e11)) = (e13))) -> (~((op1 (e13) (e10)) = (e13))) -> ((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))) -> False).
% 19.63/19.83 do 0 intro. intros zenon_H80 zenon_H72 zenon_H71 zenon_H6e zenon_H73 zenon_H75 zenon_H70 zenon_H60 zenon_H62 zenon_H61 zenon_H6b.
% 19.63/19.83 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H63 | zenon_intro zenon_H74 ].
% 19.63/19.83 apply (zenon_L20_); trivial.
% 19.63/19.83 apply (zenon_L23_); trivial.
% 19.63/19.83 (* end of lemma zenon_L24_ *)
% 19.63/19.83 assert (zenon_L25_ : (~((e11) = (e11))) -> False).
% 19.63/19.83 do 0 intro. intros zenon_H81.
% 19.63/19.83 apply zenon_H81. apply refl_equal.
% 19.63/19.83 (* end of lemma zenon_L25_ *)
% 19.63/19.83 assert (zenon_L26_ : ((op1 (e10) (e11)) = (e11)) -> ((op1 (e10) (e11)) = (e12)) -> (~((e11) = (e12))) -> False).
% 19.63/19.83 do 0 intro. intros zenon_H82 zenon_H83 zenon_H84.
% 19.63/19.83 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H85 | zenon_intro zenon_H86 ].
% 19.63/19.83 cut (((e12) = (e12)) = ((e11) = (e12))).
% 19.63/19.83 intro zenon_D_pnotp.
% 19.63/19.83 apply zenon_H84.
% 19.63/19.83 rewrite <- zenon_D_pnotp.
% 19.63/19.83 exact zenon_H85.
% 19.63/19.83 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H86].
% 19.63/19.83 cut (((e12) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H87].
% 19.63/19.83 congruence.
% 19.63/19.83 cut (((op1 (e10) (e11)) = (e11)) = ((e12) = (e11))).
% 19.63/19.83 intro zenon_D_pnotp.
% 19.63/19.83 apply zenon_H87.
% 19.63/19.83 rewrite <- zenon_D_pnotp.
% 19.63/19.83 exact zenon_H82.
% 19.63/19.83 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H81].
% 19.63/19.83 cut (((op1 (e10) (e11)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H88].
% 19.63/19.83 congruence.
% 19.63/19.83 exact (zenon_H88 zenon_H83).
% 19.63/19.83 apply zenon_H81. apply refl_equal.
% 19.63/19.83 apply zenon_H86. apply refl_equal.
% 19.63/19.83 apply zenon_H86. apply refl_equal.
% 19.63/19.83 (* end of lemma zenon_L26_ *)
% 19.63/19.83 assert (zenon_L27_ : (~((op1 (op1 (e13) (op1 (e13) (e13))) (op1 (e13) (e13))) = (op1 (e10) (e11)))) -> ((e11) = (op1 (e13) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> False).
% 19.63/19.83 do 0 intro. intros zenon_H89 zenon_H6e zenon_H71.
% 19.63/19.83 cut (((op1 (e13) (e13)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H6f].
% 19.63/19.83 cut (((op1 (e13) (op1 (e13) (e13))) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H8a].
% 19.63/19.83 congruence.
% 19.63/19.83 apply zenon_H8a. apply sym_equal. exact zenon_H71.
% 19.63/19.83 apply zenon_H6f. apply sym_equal. exact zenon_H6e.
% 19.63/19.83 (* end of lemma zenon_L27_ *)
% 19.63/19.83 assert (zenon_L28_ : ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (op1 (e13) (e13)))) -> ((op1 (e10) (e12)) = (e12)) -> ((e11) = (op1 (e13) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> False).
% 19.63/19.83 do 0 intro. intros zenon_H8b zenon_H8c zenon_H6e zenon_H71 zenon_H8d.
% 19.63/19.83 elim (classic ((op1 (e10) (e12)) = (op1 (e10) (e12)))); [ zenon_intro zenon_H8e | zenon_intro zenon_H8f ].
% 19.63/19.83 cut (((op1 (e10) (e12)) = (op1 (e10) (e12))) = ((op1 (e10) (e11)) = (op1 (e10) (e12)))).
% 19.63/19.83 intro zenon_D_pnotp.
% 19.63/19.83 apply zenon_H8d.
% 19.63/19.83 rewrite <- zenon_D_pnotp.
% 19.63/19.83 exact zenon_H8e.
% 19.63/19.83 cut (((op1 (e10) (e12)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H8f].
% 19.63/19.83 cut (((op1 (e10) (e12)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H90].
% 19.63/19.83 congruence.
% 19.63/19.83 cut (((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (op1 (e13) (e13)))) = ((op1 (e10) (e12)) = (op1 (e10) (e11)))).
% 19.63/19.83 intro zenon_D_pnotp.
% 19.63/19.83 apply zenon_H90.
% 19.63/19.83 rewrite <- zenon_D_pnotp.
% 19.63/19.83 exact zenon_H8b.
% 19.63/19.83 cut (((op1 (op1 (e13) (op1 (e13) (e13))) (op1 (e13) (e13))) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H89].
% 19.63/19.83 cut (((e12) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H91].
% 19.63/19.83 congruence.
% 19.63/19.83 elim (classic ((op1 (e10) (e12)) = (op1 (e10) (e12)))); [ zenon_intro zenon_H8e | zenon_intro zenon_H8f ].
% 19.63/19.83 cut (((op1 (e10) (e12)) = (op1 (e10) (e12))) = ((e12) = (op1 (e10) (e12)))).
% 19.63/19.83 intro zenon_D_pnotp.
% 19.63/19.83 apply zenon_H91.
% 19.63/19.83 rewrite <- zenon_D_pnotp.
% 19.63/19.83 exact zenon_H8e.
% 19.63/19.83 cut (((op1 (e10) (e12)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H8f].
% 19.63/19.83 cut (((op1 (e10) (e12)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H92].
% 19.63/19.83 congruence.
% 19.63/19.83 exact (zenon_H92 zenon_H8c).
% 19.63/19.83 apply zenon_H8f. apply refl_equal.
% 19.63/19.83 apply zenon_H8f. apply refl_equal.
% 19.63/19.83 apply (zenon_L27_); trivial.
% 19.63/19.83 apply zenon_H8f. apply refl_equal.
% 19.63/19.83 apply zenon_H8f. apply refl_equal.
% 19.63/19.83 (* end of lemma zenon_L28_ *)
% 19.63/19.83 assert (zenon_L29_ : ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> ((e11) = (op1 (e13) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False).
% 19.63/19.83 do 0 intro. intros zenon_H8b zenon_H93 zenon_H6e zenon_H71 zenon_H94.
% 19.63/19.83 elim (classic ((op1 (e10) (e13)) = (op1 (e10) (e13)))); [ zenon_intro zenon_H95 | zenon_intro zenon_H96 ].
% 19.63/19.83 cut (((op1 (e10) (e13)) = (op1 (e10) (e13))) = ((op1 (e10) (e11)) = (op1 (e10) (e13)))).
% 19.63/19.83 intro zenon_D_pnotp.
% 19.63/19.83 apply zenon_H94.
% 19.63/19.83 rewrite <- zenon_D_pnotp.
% 19.63/19.83 exact zenon_H95.
% 19.63/19.83 cut (((op1 (e10) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H96].
% 19.63/19.83 cut (((op1 (e10) (e13)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H97].
% 19.63/19.83 congruence.
% 19.63/19.83 cut (((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (op1 (e13) (e13)))) = ((op1 (e10) (e13)) = (op1 (e10) (e11)))).
% 19.63/19.83 intro zenon_D_pnotp.
% 19.63/19.83 apply zenon_H97.
% 19.63/19.83 rewrite <- zenon_D_pnotp.
% 19.63/19.83 exact zenon_H8b.
% 19.63/19.83 cut (((op1 (op1 (e13) (op1 (e13) (e13))) (op1 (e13) (e13))) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H89].
% 19.63/19.83 cut (((e12) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H98].
% 19.63/19.83 congruence.
% 19.63/19.83 elim (classic ((op1 (e10) (e13)) = (op1 (e10) (e13)))); [ zenon_intro zenon_H95 | zenon_intro zenon_H96 ].
% 19.63/19.83 cut (((op1 (e10) (e13)) = (op1 (e10) (e13))) = ((e12) = (op1 (e10) (e13)))).
% 19.63/19.83 intro zenon_D_pnotp.
% 19.63/19.83 apply zenon_H98.
% 19.63/19.83 rewrite <- zenon_D_pnotp.
% 19.63/19.83 exact zenon_H95.
% 19.63/19.83 cut (((op1 (e10) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H96].
% 19.63/19.83 cut (((op1 (e10) (e13)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H99].
% 19.63/19.83 congruence.
% 19.63/19.83 exact (zenon_H99 zenon_H93).
% 19.63/19.83 apply zenon_H96. apply refl_equal.
% 19.63/19.83 apply zenon_H96. apply refl_equal.
% 19.63/19.83 apply (zenon_L27_); trivial.
% 19.63/19.83 apply zenon_H96. apply refl_equal.
% 19.63/19.83 apply zenon_H96. apply refl_equal.
% 19.63/19.83 (* end of lemma zenon_L29_ *)
% 19.63/19.83 assert (zenon_L30_ : (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (e12))) -> (~((e11) = (e12))) -> ((op1 (e10) (e11)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False).
% 19.63/19.83 do 0 intro. intros zenon_H9a zenon_H9b zenon_H84 zenon_H82 zenon_H8d zenon_H8b zenon_H6e zenon_H71 zenon_H94.
% 19.63/19.83 apply (zenon_or_s _ _ zenon_H9a); [ zenon_intro zenon_H9d | zenon_intro zenon_H9c ].
% 19.63/19.83 exact (zenon_H9b zenon_H9d).
% 19.63/19.83 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H83 | zenon_intro zenon_H9e ].
% 19.63/19.83 apply (zenon_L26_); trivial.
% 19.63/19.83 apply (zenon_or_s _ _ zenon_H9e); [ zenon_intro zenon_H8c | zenon_intro zenon_H93 ].
% 19.63/19.83 apply (zenon_L28_); trivial.
% 19.63/19.83 apply (zenon_L29_); trivial.
% 19.63/19.83 (* end of lemma zenon_L30_ *)
% 19.63/19.83 assert (zenon_L31_ : (~((e10) = (e10))) -> False).
% 19.63/19.83 do 0 intro. intros zenon_H9f.
% 19.63/19.83 apply zenon_H9f. apply refl_equal.
% 19.63/19.83 (* end of lemma zenon_L31_ *)
% 19.63/19.83 assert (zenon_L32_ : ((op1 (e10) (e12)) = (e10)) -> ((op1 (e10) (e12)) = (e11)) -> (~((e10) = (e11))) -> False).
% 19.63/19.83 do 0 intro. intros zenon_H5f zenon_Ha0 zenon_Ha1.
% 19.63/19.83 elim (classic ((e11) = (e11))); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H81 ].
% 19.63/19.83 cut (((e11) = (e11)) = ((e10) = (e11))).
% 19.63/19.83 intro zenon_D_pnotp.
% 19.63/19.83 apply zenon_Ha1.
% 19.63/19.83 rewrite <- zenon_D_pnotp.
% 19.63/19.83 exact zenon_Ha2.
% 19.63/19.83 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H81].
% 19.63/19.83 cut (((e11) = (e10))); [idtac | apply NNPP; zenon_intro zenon_Ha3].
% 19.63/19.83 congruence.
% 19.63/19.83 cut (((op1 (e10) (e12)) = (e10)) = ((e11) = (e10))).
% 19.63/19.83 intro zenon_D_pnotp.
% 19.63/19.83 apply zenon_Ha3.
% 19.63/19.83 rewrite <- zenon_D_pnotp.
% 19.63/19.83 exact zenon_H5f.
% 19.63/19.83 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9f].
% 19.63/19.83 cut (((op1 (e10) (e12)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_Ha4].
% 19.63/19.83 congruence.
% 19.63/19.83 exact (zenon_Ha4 zenon_Ha0).
% 19.63/19.83 apply zenon_H9f. apply refl_equal.
% 19.63/19.83 apply zenon_H81. apply refl_equal.
% 19.63/19.83 apply zenon_H81. apply refl_equal.
% 19.63/19.83 (* end of lemma zenon_L32_ *)
% 19.63/19.83 assert (zenon_L33_ : (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> ((op1 (e10) (e13)) = (e11)) -> False).
% 19.63/19.83 do 0 intro. intros zenon_Ha5 zenon_H6e zenon_Ha6.
% 19.63/19.83 cut (((e11) = (op1 (e13) (e13))) = ((op1 (e10) (e13)) = (op1 (e13) (e13)))).
% 19.63/19.83 intro zenon_D_pnotp.
% 19.63/19.83 apply zenon_Ha5.
% 19.63/19.83 rewrite <- zenon_D_pnotp.
% 19.63/19.83 exact zenon_H6e.
% 19.63/19.83 cut (((op1 (e13) (e13)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Ha7].
% 19.63/19.83 cut (((e11) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Ha8].
% 19.63/19.83 congruence.
% 19.63/19.83 elim (classic ((op1 (e10) (e13)) = (op1 (e10) (e13)))); [ zenon_intro zenon_H95 | zenon_intro zenon_H96 ].
% 19.63/19.83 cut (((op1 (e10) (e13)) = (op1 (e10) (e13))) = ((e11) = (op1 (e10) (e13)))).
% 19.63/19.83 intro zenon_D_pnotp.
% 19.63/19.83 apply zenon_Ha8.
% 19.63/19.83 rewrite <- zenon_D_pnotp.
% 19.63/19.83 exact zenon_H95.
% 19.63/19.83 cut (((op1 (e10) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H96].
% 19.63/19.83 cut (((op1 (e10) (e13)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_Ha9].
% 19.63/19.83 congruence.
% 19.63/19.83 exact (zenon_Ha9 zenon_Ha6).
% 19.63/19.83 apply zenon_H96. apply refl_equal.
% 19.63/19.83 apply zenon_H96. apply refl_equal.
% 19.63/19.83 apply zenon_Ha7. apply refl_equal.
% 19.63/19.83 (* end of lemma zenon_L33_ *)
% 19.63/19.83 assert (zenon_L34_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (e10))) -> (~((op1 (e10) (e11)) = (e10))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (e12))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (op1 (e13) (e13)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (e11))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (e10))) -> False).
% 19.63/19.83 do 0 intro. intros zenon_H55 zenon_H56 zenon_H57 zenon_H6e zenon_Ha5 zenon_Ha1 zenon_H9a zenon_H9b zenon_H84 zenon_H8d zenon_H8b zenon_H71 zenon_H94 zenon_Haa zenon_Hab zenon_H59.
% 19.63/19.83 apply (zenon_or_s _ _ zenon_H55); [ zenon_intro zenon_H5b | zenon_intro zenon_H5a ].
% 19.63/19.83 exact (zenon_H56 zenon_H5b).
% 19.63/19.83 apply (zenon_or_s _ _ zenon_H5a); [ zenon_intro zenon_H5d | zenon_intro zenon_H5c ].
% 19.63/19.83 exact (zenon_H57 zenon_H5d).
% 19.63/19.83 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H5f | zenon_intro zenon_H5e ].
% 19.63/19.83 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_Had | zenon_intro zenon_Hac ].
% 19.63/19.83 exact (zenon_Haa zenon_Had).
% 19.63/19.83 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H82 | zenon_intro zenon_Hae ].
% 19.63/19.83 apply (zenon_L30_); trivial.
% 19.63/19.83 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_Ha0 | zenon_intro zenon_Ha6 ].
% 19.63/19.83 apply (zenon_L32_); trivial.
% 19.63/19.83 apply (zenon_L33_); trivial.
% 19.63/19.83 exact (zenon_H59 zenon_H5e).
% 19.63/19.83 (* end of lemma zenon_L34_ *)
% 19.63/19.83 assert (zenon_L35_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (e10))) -> (~((op1 (e10) (e10)) = (e11))) -> (~((op1 (e10) (e10)) = (e12))) -> (~((op1 (e10) (e10)) = (e13))) -> False).
% 19.63/19.83 do 0 intro. intros zenon_Haf zenon_H56 zenon_Haa zenon_H9b zenon_Hb0.
% 19.63/19.83 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H5b | zenon_intro zenon_Hb1 ].
% 19.63/19.83 exact (zenon_H56 zenon_H5b).
% 19.63/19.83 apply (zenon_or_s _ _ zenon_Hb1); [ zenon_intro zenon_Had | zenon_intro zenon_Hb2 ].
% 19.63/19.83 exact (zenon_Haa zenon_Had).
% 19.63/19.83 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H9d | zenon_intro zenon_Hb3 ].
% 19.63/19.83 exact (zenon_H9b zenon_H9d).
% 19.63/19.83 exact (zenon_Hb0 zenon_Hb3).
% 19.63/19.83 (* end of lemma zenon_L35_ *)
% 19.63/19.83 assert (zenon_L36_ : ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (e10))) -> (~((op1 (e10) (e11)) = (e10))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e10) (e10)) = (e12))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (op1 (e13) (e13)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (e11))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> False).
% 19.63/19.83 do 0 intro. intros zenon_Hb4 zenon_Haf zenon_H56 zenon_H57 zenon_Hab zenon_Ha5 zenon_Ha1 zenon_H9b zenon_H84 zenon_H8d zenon_H8b zenon_H71 zenon_H6e zenon_H94 zenon_H9a zenon_Haa zenon_H55.
% 19.63/19.83 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H59 | zenon_intro zenon_Hb0 ].
% 19.63/19.83 apply (zenon_L34_); trivial.
% 19.63/19.83 apply (zenon_L35_); trivial.
% 19.63/19.83 (* end of lemma zenon_L36_ *)
% 19.63/19.83 assert (zenon_L37_ : ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e13)) = (e13))) -> (~((op1 (e13) (e10)) = (e13))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (e10))) -> (~((op1 (e10) (e11)) = (e10))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (op1 (e13) (e13)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (e11))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e10) (e10)) = (e12)))) -> False).
% 19.63/19.83 do 0 intro. intros zenon_Hb5 zenon_H60 zenon_H64 zenon_H61 zenon_Hb4 zenon_Haf zenon_H56 zenon_H57 zenon_Hab zenon_Ha5 zenon_Ha1 zenon_H84 zenon_H8d zenon_H8b zenon_H71 zenon_H6e zenon_H94 zenon_H9a zenon_Haa zenon_H55 zenon_Hb6.
% 19.63/19.83 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H62 | zenon_intro zenon_H6f ].
% 19.63/19.83 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H63 | zenon_intro zenon_H9b ].
% 19.63/19.83 apply (zenon_L19_); trivial.
% 19.63/19.83 apply (zenon_L36_); trivial.
% 19.63/19.83 apply zenon_H6f. apply sym_equal. exact zenon_H6e.
% 19.63/19.83 (* end of lemma zenon_L37_ *)
% 19.63/19.83 assert (zenon_L38_ : ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e10) (e10)) = (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((e11) = (e12))) -> (~((e10) = (e11))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (e10))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))) -> (~((op1 (e13) (e13)) = (e13))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))) -> (~((op1 (e13) (e10)) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (e13))) -> (~((op1 (e11) (e11)) = (e11))) -> ((e11) = (op1 (e13) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e11) (e11)) = (e12)))) -> False).
% 19.63/19.83 do 0 intro. intros zenon_Hb7 zenon_Hb6 zenon_H55 zenon_H9a zenon_H94 zenon_H8b zenon_H8d zenon_H84 zenon_Ha1 zenon_Ha5 zenon_Hab zenon_H57 zenon_H56 zenon_Haf zenon_Hb4 zenon_H64 zenon_Hb5 zenon_H6b zenon_H61 zenon_H60 zenon_H70 zenon_H75 zenon_H73 zenon_H6e zenon_H71 zenon_H72 zenon_H80.
% 19.63/19.83 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H62 | zenon_intro zenon_Haa ].
% 19.63/19.83 apply (zenon_L24_); trivial.
% 19.63/19.83 apply (zenon_L37_); trivial.
% 19.63/19.83 (* end of lemma zenon_L38_ *)
% 19.63/19.83 assert (zenon_L39_ : (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (e10))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (e13))) -> False).
% 19.63/19.83 do 0 intro. intros zenon_H70 zenon_H7b zenon_H73 zenon_Hb8 zenon_H71 zenon_H6e zenon_H8b zenon_H75.
% 19.63/19.83 apply (zenon_or_s _ _ zenon_H70); [ zenon_intro zenon_H77 | zenon_intro zenon_H76 ].
% 19.63/19.83 exact (zenon_H7b zenon_H77).
% 19.63/19.83 apply (zenon_or_s _ _ zenon_H76); [ zenon_intro zenon_H7d | zenon_intro zenon_H7c ].
% 19.63/19.83 exact (zenon_H73 zenon_H7d).
% 19.63/19.83 apply (zenon_or_s _ _ zenon_H7c); [ zenon_intro zenon_H7f | zenon_intro zenon_H7e ].
% 19.63/19.83 elim (classic ((op1 (e11) (e11)) = (op1 (e11) (e11)))); [ zenon_intro zenon_H79 | zenon_intro zenon_H7a ].
% 19.63/19.83 cut (((op1 (e11) (e11)) = (op1 (e11) (e11))) = ((op1 (e10) (e11)) = (op1 (e11) (e11)))).
% 19.63/19.83 intro zenon_D_pnotp.
% 19.63/19.83 apply zenon_Hb8.
% 19.63/19.83 rewrite <- zenon_D_pnotp.
% 19.63/19.83 exact zenon_H79.
% 19.63/19.83 cut (((op1 (e11) (e11)) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H7a].
% 19.63/19.83 cut (((op1 (e11) (e11)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_Hb9].
% 19.63/19.83 congruence.
% 19.63/19.83 cut (((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (op1 (e13) (e13)))) = ((op1 (e11) (e11)) = (op1 (e10) (e11)))).
% 19.63/19.83 intro zenon_D_pnotp.
% 19.63/19.83 apply zenon_Hb9.
% 19.63/19.83 rewrite <- zenon_D_pnotp.
% 19.63/19.83 exact zenon_H8b.
% 19.63/19.83 cut (((op1 (op1 (e13) (op1 (e13) (e13))) (op1 (e13) (e13))) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H89].
% 19.63/19.83 cut (((e12) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_Hba].
% 19.63/19.83 congruence.
% 19.63/19.83 elim (classic ((op1 (e11) (e11)) = (op1 (e11) (e11)))); [ zenon_intro zenon_H79 | zenon_intro zenon_H7a ].
% 19.63/19.83 cut (((op1 (e11) (e11)) = (op1 (e11) (e11))) = ((e12) = (op1 (e11) (e11)))).
% 19.63/19.83 intro zenon_D_pnotp.
% 19.63/19.83 apply zenon_Hba.
% 19.63/19.83 rewrite <- zenon_D_pnotp.
% 19.63/19.83 exact zenon_H79.
% 19.63/19.83 cut (((op1 (e11) (e11)) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H7a].
% 19.63/19.83 cut (((op1 (e11) (e11)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H74].
% 19.63/19.83 congruence.
% 19.63/19.83 exact (zenon_H74 zenon_H7f).
% 19.63/19.83 apply zenon_H7a. apply refl_equal.
% 19.63/19.83 apply zenon_H7a. apply refl_equal.
% 19.63/19.83 apply (zenon_L27_); trivial.
% 19.63/19.83 apply zenon_H7a. apply refl_equal.
% 19.63/19.83 apply zenon_H7a. apply refl_equal.
% 19.63/19.83 exact (zenon_H75 zenon_H7e).
% 19.63/19.83 (* end of lemma zenon_L39_ *)
% 19.63/19.83 assert (zenon_L40_ : ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e11) (e11)) = (e10)))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e11)) = (e13))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e10) (e10)) = (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (e11))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((e11) = (e12))) -> (~((e10) = (e11))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (e10))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))) -> (~((op1 (e13) (e13)) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11)))) -> False).
% 19.63/19.83 do 0 intro. intros zenon_Hbb zenon_H73 zenon_Hb8 zenon_H75 zenon_H70 zenon_Hb6 zenon_H55 zenon_Haa zenon_H9a zenon_H94 zenon_H6e zenon_H71 zenon_H8b zenon_H8d zenon_H84 zenon_Ha1 zenon_Ha5 zenon_Hab zenon_H57 zenon_H56 zenon_Haf zenon_Hb4 zenon_H64 zenon_H60 zenon_Hb5.
% 19.63/19.83 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H61 | zenon_intro zenon_H7b ].
% 19.63/19.83 apply (zenon_L37_); trivial.
% 19.63/19.83 apply (zenon_L39_); trivial.
% 19.63/19.83 (* end of lemma zenon_L40_ *)
% 19.63/19.83 assert (zenon_L41_ : ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e13) (e13)) = (e13)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (op1 (e13) (e13)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (e11))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e10) (e10)) = (e12)))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (e13))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e11)) = (e11))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e11) (e11)) = (e10)))) -> (~((op1 (e10) (e10)) = (e10))) -> (~((op1 (e10) (e11)) = (e10))) -> (~((op1 (e10) (e12)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> False).
% 19.63/19.83 do 0 intro. intros zenon_Hbc zenon_Hb5 zenon_H60 zenon_Hb4 zenon_Haf zenon_Hab zenon_Ha5 zenon_Ha1 zenon_H84 zenon_H8d zenon_H8b zenon_H71 zenon_H6e zenon_H94 zenon_H9a zenon_Haa zenon_Hb6 zenon_H70 zenon_H75 zenon_Hb8 zenon_H73 zenon_Hbb zenon_H56 zenon_H57 zenon_H58 zenon_H55.
% 19.63/19.83 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H59 | zenon_intro zenon_H64 ].
% 19.63/19.83 apply (zenon_L18_); trivial.
% 19.63/19.83 apply (zenon_L40_); trivial.
% 19.63/19.83 (* end of lemma zenon_L41_ *)
% 19.63/19.83 assert (zenon_L42_ : ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (e10))) -> (~((op1 (e10) (e11)) = (e10))) -> (~((op1 (e10) (e10)) = (e10))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e11) (e11)) = (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e11)) = (e13))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e10) (e10)) = (e12)))) -> (~((op1 (e10) (e10)) = (e11))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((e11) = (e12))) -> (~((e10) = (e11))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e13) (e13)) = (e13)))) -> False).
% 19.63/19.83 do 0 intro. intros zenon_Hbd zenon_H55 zenon_H58 zenon_H57 zenon_H56 zenon_Hbb zenon_Hb8 zenon_H75 zenon_H70 zenon_Hb6 zenon_Haa zenon_H9a zenon_H94 zenon_H6e zenon_H71 zenon_H8b zenon_H8d zenon_H84 zenon_Ha1 zenon_Ha5 zenon_Hab zenon_Haf zenon_Hb4 zenon_H60 zenon_Hb5 zenon_Hbc.
% 19.63/19.83 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_H73 | zenon_intro zenon_H73 ].
% 19.63/19.83 apply (zenon_L41_); trivial.
% 19.63/19.83 apply (zenon_L41_); trivial.
% 19.63/19.83 (* end of lemma zenon_L42_ *)
% 19.63/19.83 assert (zenon_L43_ : ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (e10))) -> (~((op1 (e10) (e10)) = (e10))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e11) (e11)) = (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e10) (e10)) = (e12)))) -> (~((op1 (e10) (e10)) = (e11))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((e11) = (e12))) -> (~((e10) = (e11))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e13) (e13)) = (e13)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e11) (e11)) = (e13)))) -> False).
% 19.63/19.83 do 0 intro. intros zenon_Hbe zenon_H55 zenon_H57 zenon_H56 zenon_Hbd zenon_Hbb zenon_Hb8 zenon_H70 zenon_Hb6 zenon_Haa zenon_H9a zenon_H94 zenon_H6e zenon_H71 zenon_H8b zenon_H8d zenon_H84 zenon_Ha1 zenon_Ha5 zenon_Hab zenon_Haf zenon_Hb4 zenon_H60 zenon_Hb5 zenon_Hbc zenon_Hbf.
% 19.63/19.83 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H58 | zenon_intro zenon_H9b ].
% 19.63/19.83 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H59 | zenon_intro zenon_H75 ].
% 19.63/19.83 apply (zenon_L18_); trivial.
% 19.63/19.83 apply (zenon_L42_); trivial.
% 19.63/19.83 apply (zenon_L36_); trivial.
% 19.63/19.83 (* end of lemma zenon_L43_ *)
% 19.63/19.83 assert (zenon_L44_ : ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e11) (e11)) = (e13)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e13) (e13)) = (e13)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e10) (e10)) = (e12)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e11) (e11)) = (e10)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11)))) -> (~((op1 (e10) (e10)) = (e10))) -> (~((op1 (e10) (e11)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12)))) -> (~((op1 (e11) (e11)) = (e10))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (op1 (e13) (e13)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e11) (e11)) = (e13))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> False).
% 19.63/19.83 do 0 intro. intros zenon_Hc0 zenon_Hbf zenon_Hbc zenon_Hb5 zenon_H60 zenon_Hb4 zenon_Haf zenon_Hab zenon_Ha5 zenon_Ha1 zenon_H84 zenon_H8d zenon_H94 zenon_H9a zenon_Hb6 zenon_Hbb zenon_Hbd zenon_H56 zenon_H57 zenon_H55 zenon_Hbe zenon_H7b zenon_Hb8 zenon_H8b zenon_H71 zenon_H6e zenon_H75 zenon_H70.
% 19.63/19.83 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H73 | zenon_intro zenon_Haa ].
% 19.63/19.83 apply (zenon_L39_); trivial.
% 19.63/19.83 apply (zenon_L43_); trivial.
% 19.63/19.83 (* end of lemma zenon_L44_ *)
% 19.63/19.83 assert (zenon_L45_ : ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e10) (e10)) = (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((e11) = (e12))) -> (~((e10) = (e11))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> ((e11) = (op1 (e13) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e11) (e11)) = (e12)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e11) (e11)) = (e13)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e13) (e13)) = (e13)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e11) (e11)) = (e10)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (e10))) -> (~((op1 (e10) (e11)) = (e10))) -> (~((op1 (e10) (e12)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> False).
% 19.63/19.83 do 0 intro. intros zenon_Hb7 zenon_Hb6 zenon_H9a zenon_H94 zenon_H8b zenon_H8d zenon_H84 zenon_Ha1 zenon_Ha5 zenon_Hab zenon_Haf zenon_Hb4 zenon_Hb5 zenon_H6b zenon_H60 zenon_H70 zenon_H6e zenon_H71 zenon_H72 zenon_H80 zenon_Hc0 zenon_Hbf zenon_Hbc zenon_Hbb zenon_Hbd zenon_Hbe zenon_Hb8 zenon_H56 zenon_H57 zenon_H58 zenon_H55.
% 19.63/19.83 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H59 | zenon_intro zenon_H75 ].
% 19.63/19.83 apply (zenon_L18_); trivial.
% 19.63/19.83 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H59 | zenon_intro zenon_H64 ].
% 19.63/19.83 apply (zenon_L18_); trivial.
% 19.63/19.83 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H73 | zenon_intro zenon_Haa ].
% 19.63/19.83 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H61 | zenon_intro zenon_H7b ].
% 19.63/19.83 apply (zenon_L38_); trivial.
% 19.63/19.83 apply (zenon_L44_); trivial.
% 19.63/19.83 apply (zenon_L42_); trivial.
% 19.63/19.83 (* end of lemma zenon_L45_ *)
% 19.63/19.83 assert (zenon_L46_ : ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e10) (e10)) = (e11)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e10)) = (e12))) -> (~((e10) = (e11))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (e10))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))) -> (~((op1 (e11) (e11)) = (e10))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (op1 (e13) (e13)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e11) (e11)) = (e13))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> False).
% 19.63/19.83 do 0 intro. intros zenon_Hc0 zenon_H55 zenon_H9a zenon_H94 zenon_H8d zenon_H84 zenon_H9b zenon_Ha1 zenon_Ha5 zenon_Hab zenon_H57 zenon_H56 zenon_Haf zenon_Hb4 zenon_H7b zenon_Hb8 zenon_H8b zenon_H71 zenon_H6e zenon_H75 zenon_H70.
% 19.63/19.83 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H73 | zenon_intro zenon_Haa ].
% 19.63/19.83 apply (zenon_L39_); trivial.
% 19.63/19.83 apply (zenon_L36_); trivial.
% 19.63/19.83 (* end of lemma zenon_L46_ *)
% 19.63/19.83 assert (zenon_L47_ : ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e13) (e13)) = (e13)))) -> (~((op1 (e10) (e12)) = (e10))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e10) (e10)) = (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((e11) = (e12))) -> (~((e10) = (e11))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (e10))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))) -> (~((op1 (e13) (e13)) = (e13))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (e13))) -> ((e11) = (op1 (e13) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e11) (e11)) = (e12)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e10) (e10)) = (e11)))) -> (~((op1 (e10) (e10)) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e11) (e11)) = (e10)))) -> False).
% 19.63/19.83 do 0 intro. intros zenon_Hbc zenon_H58 zenon_Hbd zenon_Hb7 zenon_Hb6 zenon_H55 zenon_H9a zenon_H94 zenon_H8b zenon_H8d zenon_H84 zenon_Ha1 zenon_Ha5 zenon_Hab zenon_H57 zenon_H56 zenon_Haf zenon_Hb4 zenon_H64 zenon_Hb5 zenon_H6b zenon_H60 zenon_H70 zenon_H75 zenon_H6e zenon_H71 zenon_H72 zenon_H80 zenon_Hc0 zenon_H9b zenon_Hb8 zenon_Hbb.
% 19.63/19.83 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H73 | zenon_intro zenon_Haa ].
% 19.63/19.83 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H61 | zenon_intro zenon_H7b ].
% 19.63/19.83 apply (zenon_L38_); trivial.
% 19.63/19.83 apply (zenon_L46_); trivial.
% 19.63/19.83 apply (zenon_L42_); trivial.
% 19.63/19.83 (* end of lemma zenon_L47_ *)
% 19.63/19.83 assert (zenon_L48_ : ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e11) (e11)) = (e13)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e13) (e13)) = (e13)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e10) (e10)) = (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((e11) = (e12))) -> (~((e10) = (e11))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> ((e11) = (op1 (e13) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e11) (e11)) = (e12)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e10) (e10)) = (e11)))) -> (~((op1 (e10) (e10)) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e11) (e11)) = (e10)))) -> (~((op1 (e10) (e10)) = (e10))) -> (~((op1 (e10) (e11)) = (e10))) -> (~((op1 (e10) (e12)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> False).
% 19.63/19.83 do 0 intro. intros zenon_Hbf zenon_Hbc zenon_Hbd zenon_Hb7 zenon_Hb6 zenon_H9a zenon_H94 zenon_H8b zenon_H8d zenon_H84 zenon_Ha1 zenon_Ha5 zenon_Hab zenon_Haf zenon_Hb4 zenon_Hb5 zenon_H6b zenon_H60 zenon_H70 zenon_H6e zenon_H71 zenon_H72 zenon_H80 zenon_Hc0 zenon_H9b zenon_Hb8 zenon_Hbb zenon_H56 zenon_H57 zenon_H58 zenon_H55.
% 19.63/19.83 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H59 | zenon_intro zenon_H75 ].
% 19.63/19.83 apply (zenon_L18_); trivial.
% 19.63/19.83 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H59 | zenon_intro zenon_H64 ].
% 19.63/19.83 apply (zenon_L18_); trivial.
% 19.63/19.83 apply (zenon_L47_); trivial.
% 19.63/19.83 (* end of lemma zenon_L48_ *)
% 19.63/19.83 assert (zenon_L49_ : (~((h4 (e10)) = (e20))) -> ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> False).
% 19.63/19.83 do 0 intro. intros zenon_Hc1 zenon_Hc2 zenon_H2e.
% 19.63/19.83 cut (((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) = ((h4 (e10)) = (e20))).
% 19.63/19.83 intro zenon_D_pnotp.
% 19.63/19.83 apply zenon_Hc1.
% 19.63/19.83 rewrite <- zenon_D_pnotp.
% 19.63/19.83 exact zenon_Hc2.
% 19.63/19.83 cut (((op2 (e23) (op2 (e23) (e23))) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H4a].
% 19.63/19.83 cut (((h4 (e10)) = (h4 (e10)))); [idtac | apply NNPP; zenon_intro zenon_Hc3].
% 19.63/19.83 congruence.
% 19.63/19.83 apply zenon_Hc3. apply refl_equal.
% 19.63/19.83 apply zenon_H4a. apply sym_equal. exact zenon_H2e.
% 19.63/19.83 (* end of lemma zenon_L49_ *)
% 19.63/19.83 assert (zenon_L50_ : (~((e21) = (e21))) -> False).
% 19.63/19.83 do 0 intro. intros zenon_Hc4.
% 19.63/19.83 apply zenon_Hc4. apply refl_equal.
% 19.63/19.83 (* end of lemma zenon_L50_ *)
% 19.63/19.83 assert (zenon_L51_ : ((op2 (e20) (e21)) = (e21)) -> ((op2 (e20) (e21)) = (e22)) -> (~((e21) = (e22))) -> False).
% 19.63/19.83 do 0 intro. intros zenon_Hc5 zenon_Hc6 zenon_Hc7.
% 19.63/19.83 elim (classic ((e22) = (e22))); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hc9 ].
% 19.63/19.83 cut (((e22) = (e22)) = ((e21) = (e22))).
% 19.63/19.83 intro zenon_D_pnotp.
% 19.63/19.83 apply zenon_Hc7.
% 19.63/19.83 rewrite <- zenon_D_pnotp.
% 19.63/19.83 exact zenon_Hc8.
% 19.63/19.83 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_Hc9].
% 19.63/19.83 cut (((e22) = (e21))); [idtac | apply NNPP; zenon_intro zenon_Hca].
% 19.63/19.83 congruence.
% 19.63/19.83 cut (((op2 (e20) (e21)) = (e21)) = ((e22) = (e21))).
% 19.63/19.83 intro zenon_D_pnotp.
% 19.63/19.83 apply zenon_Hca.
% 19.63/19.83 rewrite <- zenon_D_pnotp.
% 19.63/19.83 exact zenon_Hc5.
% 19.63/19.83 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_Hc4].
% 19.63/19.83 cut (((op2 (e20) (e21)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_Hcb].
% 19.63/19.83 congruence.
% 19.63/19.83 exact (zenon_Hcb zenon_Hc6).
% 19.63/19.83 apply zenon_Hc4. apply refl_equal.
% 19.63/19.83 apply zenon_Hc9. apply refl_equal.
% 19.63/19.83 apply zenon_Hc9. apply refl_equal.
% 19.63/19.83 (* end of lemma zenon_L51_ *)
% 19.63/19.83 assert (zenon_L52_ : ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> ((op2 (e20) (e22)) = (e22)) -> ((e21) = (op2 (e23) (e23))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> False).
% 19.63/19.83 do 0 intro. intros zenon_H4c zenon_Hcc zenon_H2b zenon_H2e zenon_Hcd.
% 19.63/19.83 elim (classic ((op2 (e20) (e22)) = (op2 (e20) (e22)))); [ zenon_intro zenon_Hce | zenon_intro zenon_Hcf ].
% 19.63/19.83 cut (((op2 (e20) (e22)) = (op2 (e20) (e22))) = ((op2 (e20) (e21)) = (op2 (e20) (e22)))).
% 19.63/19.83 intro zenon_D_pnotp.
% 19.63/19.83 apply zenon_Hcd.
% 19.63/19.83 rewrite <- zenon_D_pnotp.
% 19.63/19.83 exact zenon_Hce.
% 19.63/19.83 cut (((op2 (e20) (e22)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Hcf].
% 19.63/19.83 cut (((op2 (e20) (e22)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_Hd0].
% 19.63/19.83 congruence.
% 19.63/19.83 cut (((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) = ((op2 (e20) (e22)) = (op2 (e20) (e21)))).
% 19.63/19.83 intro zenon_D_pnotp.
% 19.63/19.83 apply zenon_Hd0.
% 19.63/19.83 rewrite <- zenon_D_pnotp.
% 19.63/19.83 exact zenon_H4c.
% 19.63/19.83 cut (((op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23))) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H49].
% 19.63/19.83 cut (((e22) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Hd1].
% 19.63/19.83 congruence.
% 19.63/19.83 elim (classic ((op2 (e20) (e22)) = (op2 (e20) (e22)))); [ zenon_intro zenon_Hce | zenon_intro zenon_Hcf ].
% 19.63/19.83 cut (((op2 (e20) (e22)) = (op2 (e20) (e22))) = ((e22) = (op2 (e20) (e22)))).
% 19.63/19.83 intro zenon_D_pnotp.
% 19.63/19.83 apply zenon_Hd1.
% 19.63/19.83 rewrite <- zenon_D_pnotp.
% 19.63/19.83 exact zenon_Hce.
% 19.63/19.83 cut (((op2 (e20) (e22)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Hcf].
% 19.63/19.83 cut (((op2 (e20) (e22)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_Hd2].
% 19.63/19.83 congruence.
% 19.63/19.83 exact (zenon_Hd2 zenon_Hcc).
% 19.63/19.83 apply zenon_Hcf. apply refl_equal.
% 19.63/19.83 apply zenon_Hcf. apply refl_equal.
% 19.63/19.83 apply (zenon_L10_); trivial.
% 19.63/19.83 apply zenon_Hcf. apply refl_equal.
% 19.63/19.83 apply zenon_Hcf. apply refl_equal.
% 19.63/19.83 (* end of lemma zenon_L52_ *)
% 19.63/19.83 assert (zenon_L53_ : ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e22)) -> ((e21) = (op2 (e23) (e23))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False).
% 19.63/19.83 do 0 intro. intros zenon_H4c zenon_Hd3 zenon_H2b zenon_H2e zenon_Hd4.
% 19.63/19.83 elim (classic ((op2 (e20) (e23)) = (op2 (e20) (e23)))); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hd6 ].
% 19.63/19.83 cut (((op2 (e20) (e23)) = (op2 (e20) (e23))) = ((op2 (e20) (e21)) = (op2 (e20) (e23)))).
% 19.63/19.83 intro zenon_D_pnotp.
% 19.63/19.83 apply zenon_Hd4.
% 19.63/19.83 rewrite <- zenon_D_pnotp.
% 19.63/19.83 exact zenon_Hd5.
% 19.63/19.83 cut (((op2 (e20) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_Hd6].
% 19.63/19.83 cut (((op2 (e20) (e23)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_Hd7].
% 19.63/19.83 congruence.
% 19.63/19.83 cut (((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) = ((op2 (e20) (e23)) = (op2 (e20) (e21)))).
% 19.63/19.83 intro zenon_D_pnotp.
% 19.63/19.83 apply zenon_Hd7.
% 19.63/19.83 rewrite <- zenon_D_pnotp.
% 19.63/19.83 exact zenon_H4c.
% 19.63/19.83 cut (((op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23))) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H49].
% 19.63/19.83 cut (((e22) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_Hd8].
% 19.63/19.83 congruence.
% 19.63/19.83 elim (classic ((op2 (e20) (e23)) = (op2 (e20) (e23)))); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hd6 ].
% 19.63/19.83 cut (((op2 (e20) (e23)) = (op2 (e20) (e23))) = ((e22) = (op2 (e20) (e23)))).
% 19.63/19.83 intro zenon_D_pnotp.
% 19.63/19.83 apply zenon_Hd8.
% 19.63/19.83 rewrite <- zenon_D_pnotp.
% 19.63/19.83 exact zenon_Hd5.
% 19.63/19.83 cut (((op2 (e20) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_Hd6].
% 19.63/19.83 cut (((op2 (e20) (e23)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_Hd9].
% 19.63/19.83 congruence.
% 19.63/19.83 exact (zenon_Hd9 zenon_Hd3).
% 19.63/19.83 apply zenon_Hd6. apply refl_equal.
% 19.63/19.83 apply zenon_Hd6. apply refl_equal.
% 19.63/19.83 apply (zenon_L10_); trivial.
% 19.63/19.83 apply zenon_Hd6. apply refl_equal.
% 19.63/19.83 apply zenon_Hd6. apply refl_equal.
% 19.63/19.83 (* end of lemma zenon_L53_ *)
% 19.63/19.83 assert (zenon_L54_ : (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (e22))) -> (~((e21) = (e22))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False).
% 19.63/19.83 do 0 intro. intros zenon_Hda zenon_H40 zenon_Hc7 zenon_Hc5 zenon_Hcd zenon_H4c zenon_H2b zenon_H2e zenon_Hd4.
% 19.63/19.83 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H46 | zenon_intro zenon_Hdb ].
% 19.63/19.83 exact (zenon_H40 zenon_H46).
% 19.63/19.83 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hdc ].
% 19.63/19.83 apply (zenon_L51_); trivial.
% 19.63/19.83 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hd3 ].
% 19.63/19.83 apply (zenon_L52_); trivial.
% 19.63/19.83 apply (zenon_L53_); trivial.
% 19.63/19.83 (* end of lemma zenon_L54_ *)
% 19.63/19.83 assert (zenon_L55_ : (~((e20) = (e20))) -> False).
% 19.63/19.83 do 0 intro. intros zenon_Hdd.
% 19.63/19.83 apply zenon_Hdd. apply refl_equal.
% 19.63/19.83 (* end of lemma zenon_L55_ *)
% 19.63/19.83 assert (zenon_L56_ : ((op2 (e20) (e22)) = (e20)) -> ((op2 (e20) (e22)) = (e21)) -> (~((e20) = (e21))) -> False).
% 19.63/19.83 do 0 intro. intros zenon_H1c zenon_Hde zenon_Hdf.
% 19.63/19.83 elim (classic ((e21) = (e21))); [ zenon_intro zenon_He0 | zenon_intro zenon_Hc4 ].
% 19.63/19.83 cut (((e21) = (e21)) = ((e20) = (e21))).
% 19.63/19.83 intro zenon_D_pnotp.
% 19.63/19.83 apply zenon_Hdf.
% 19.63/19.83 rewrite <- zenon_D_pnotp.
% 19.63/19.83 exact zenon_He0.
% 19.63/19.83 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_Hc4].
% 19.63/19.83 cut (((e21) = (e20))); [idtac | apply NNPP; zenon_intro zenon_He1].
% 19.63/19.83 congruence.
% 19.63/19.83 cut (((op2 (e20) (e22)) = (e20)) = ((e21) = (e20))).
% 19.63/19.83 intro zenon_D_pnotp.
% 19.63/19.83 apply zenon_He1.
% 19.63/19.83 rewrite <- zenon_D_pnotp.
% 19.63/19.83 exact zenon_H1c.
% 19.63/19.83 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_Hdd].
% 19.63/19.83 cut (((op2 (e20) (e22)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_He2].
% 19.63/19.83 congruence.
% 19.63/19.83 exact (zenon_He2 zenon_Hde).
% 19.63/19.83 apply zenon_Hdd. apply refl_equal.
% 19.63/19.83 apply zenon_Hc4. apply refl_equal.
% 19.63/19.83 apply zenon_Hc4. apply refl_equal.
% 19.63/19.83 (* end of lemma zenon_L56_ *)
% 19.63/19.83 assert (zenon_L57_ : (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> ((op2 (e20) (e23)) = (e21)) -> False).
% 19.63/19.83 do 0 intro. intros zenon_He3 zenon_H2b zenon_He4.
% 19.63/19.83 cut (((e21) = (op2 (e23) (e23))) = ((op2 (e20) (e23)) = (op2 (e23) (e23)))).
% 19.63/19.83 intro zenon_D_pnotp.
% 19.63/19.83 apply zenon_He3.
% 19.63/19.83 rewrite <- zenon_D_pnotp.
% 19.63/19.83 exact zenon_H2b.
% 19.63/19.83 cut (((op2 (e23) (e23)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_He5].
% 19.63/19.83 cut (((e21) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_He6].
% 19.63/19.83 congruence.
% 19.63/19.83 elim (classic ((op2 (e20) (e23)) = (op2 (e20) (e23)))); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hd6 ].
% 19.63/19.83 cut (((op2 (e20) (e23)) = (op2 (e20) (e23))) = ((e21) = (op2 (e20) (e23)))).
% 19.63/19.83 intro zenon_D_pnotp.
% 19.63/19.83 apply zenon_He6.
% 19.63/19.83 rewrite <- zenon_D_pnotp.
% 19.63/19.83 exact zenon_Hd5.
% 19.63/19.83 cut (((op2 (e20) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_Hd6].
% 19.63/19.83 cut (((op2 (e20) (e23)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_He7].
% 19.63/19.83 congruence.
% 19.63/19.83 exact (zenon_He7 zenon_He4).
% 19.63/19.83 apply zenon_Hd6. apply refl_equal.
% 19.63/19.83 apply zenon_Hd6. apply refl_equal.
% 19.63/19.83 apply zenon_He5. apply refl_equal.
% 19.63/19.83 (* end of lemma zenon_L57_ *)
% 19.63/19.83 assert (zenon_L58_ : ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (e10))) -> (~((op1 (e10) (e10)) = (e10))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e13) (e13)) = (e13)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (op1 (e13) (e13)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (e11))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e10) (e10)) = (e12)))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e11)) = (e11))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e11) (e11)) = (e10)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e11) (e11)) = (e13)))) -> False).
% 19.63/19.83 do 0 intro. intros zenon_Hbe zenon_H55 zenon_H57 zenon_H56 zenon_Hbc zenon_Hb5 zenon_H60 zenon_Hb4 zenon_Haf zenon_Hab zenon_Ha5 zenon_Ha1 zenon_H84 zenon_H8d zenon_H8b zenon_H71 zenon_H6e zenon_H94 zenon_H9a zenon_Haa zenon_Hb6 zenon_H70 zenon_Hb8 zenon_H73 zenon_Hbb zenon_Hbf.
% 19.63/19.83 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H58 | zenon_intro zenon_H9b ].
% 19.63/19.83 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H59 | zenon_intro zenon_H75 ].
% 19.63/19.83 apply (zenon_L18_); trivial.
% 19.63/19.83 apply (zenon_L41_); trivial.
% 19.63/19.83 apply (zenon_L36_); trivial.
% 19.63/19.83 (* end of lemma zenon_L58_ *)
% 19.63/19.83 assert (zenon_L59_ : ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))) -> (~((op1 (e13) (e10)) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (e10))) -> (~((op1 (e10) (e10)) = (e11))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((e11) = (e12))) -> (~((e10) = (e11))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (e10))) -> (~((op1 (e10) (e10)) = (e10))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e10) (e10)) = (e12)))) -> False).
% 19.63/19.83 do 0 intro. intros zenon_Hb5 zenon_H6b zenon_H61 zenon_H60 zenon_H55 zenon_H59 zenon_Haa zenon_H9a zenon_H94 zenon_H6e zenon_H71 zenon_H8b zenon_H8d zenon_H84 zenon_Ha1 zenon_Ha5 zenon_Hab zenon_H57 zenon_H56 zenon_Hb6.
% 19.63/19.83 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H62 | zenon_intro zenon_H6f ].
% 19.63/19.83 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H63 | zenon_intro zenon_H9b ].
% 19.63/19.83 apply (zenon_L20_); trivial.
% 19.63/19.83 apply (zenon_L34_); trivial.
% 19.63/19.83 apply zenon_H6f. apply sym_equal. exact zenon_H6e.
% 19.63/19.83 (* end of lemma zenon_L59_ *)
% 19.63/19.83 assert (zenon_L60_ : (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (e10))) -> (~((op1 (e12) (e12)) = (e11))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e12)) = (e13))) -> False).
% 19.63/19.83 do 0 intro. intros zenon_He8 zenon_He9 zenon_Hea zenon_Heb zenon_Hec.
% 19.63/19.83 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_Hee | zenon_intro zenon_Hed ].
% 19.63/19.83 exact (zenon_He9 zenon_Hee).
% 19.63/19.83 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Hf0 | zenon_intro zenon_Hef ].
% 19.63/19.83 exact (zenon_Hea zenon_Hf0).
% 19.63/19.83 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hf2 | zenon_intro zenon_Hf1 ].
% 19.63/19.83 exact (zenon_Heb zenon_Hf2).
% 19.63/19.83 exact (zenon_Hec zenon_Hf1).
% 19.63/19.83 (* end of lemma zenon_L60_ *)
% 19.63/19.83 assert (zenon_L61_ : ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e12) (e12)) = (e10)))) -> (~((op1 (e12) (e12)) = (e11))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e12)) = (e13))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e10) (e10)) = (e12)))) -> (~((op1 (e10) (e10)) = (e10))) -> (~((op1 (e10) (e11)) = (e10))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (op1 (e13) (e13)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (e11))) -> (~((op1 (e10) (e13)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11)))) -> False).
% 19.63/19.83 do 0 intro. intros zenon_Hf3 zenon_Hea zenon_Heb zenon_Hec zenon_He8 zenon_Hb6 zenon_H56 zenon_H57 zenon_Hab zenon_Ha5 zenon_Ha1 zenon_H84 zenon_H8d zenon_H8b zenon_H71 zenon_H6e zenon_H94 zenon_H9a zenon_Haa zenon_H59 zenon_H55 zenon_H60 zenon_H6b zenon_Hb5.
% 19.63/19.83 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H61 | zenon_intro zenon_He9 ].
% 19.63/19.83 apply (zenon_L59_); trivial.
% 19.63/19.83 apply (zenon_L60_); trivial.
% 19.63/19.83 (* end of lemma zenon_L61_ *)
% 19.63/19.83 assert (zenon_L62_ : ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e12) (e12)) = (e10)))) -> (~((op1 (e12) (e12)) = (e11))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e12)) = (e13))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e10) (e10)) = (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (e11))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((e11) = (e12))) -> (~((e10) = (e11))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (e10))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))) -> (~((op1 (e13) (e13)) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11)))) -> False).
% 19.63/19.83 do 0 intro. intros zenon_Hf3 zenon_Hea zenon_Heb zenon_Hec zenon_He8 zenon_Hb6 zenon_H55 zenon_Haa zenon_H9a zenon_H94 zenon_H6e zenon_H71 zenon_H8b zenon_H8d zenon_H84 zenon_Ha1 zenon_Ha5 zenon_Hab zenon_H57 zenon_H56 zenon_Haf zenon_Hb4 zenon_H64 zenon_H60 zenon_Hb5.
% 19.63/19.83 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H61 | zenon_intro zenon_He9 ].
% 19.63/19.83 apply (zenon_L37_); trivial.
% 19.63/19.83 apply (zenon_L60_); trivial.
% 19.63/19.83 (* end of lemma zenon_L62_ *)
% 19.63/19.83 assert (zenon_L63_ : ((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e10) (e10)) = (e12)))) -> (~((op1 (e10) (e10)) = (e13))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e13)) = (e13))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (e10))) -> (~((op1 (e10) (e11)) = (e10))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (op1 (e13) (e13)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (e11))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e10) (e10)) = (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (e13))) -> (~((op1 (e12) (e12)) = (e11))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e12) (e12)) = (e10)))) -> False).
% 19.63/19.83 do 0 intro. intros zenon_Hf4 zenon_Hb0 zenon_Hb5 zenon_H60 zenon_H64 zenon_Hb4 zenon_Haf zenon_H56 zenon_H57 zenon_Hab zenon_Ha5 zenon_Ha1 zenon_H84 zenon_H8d zenon_H8b zenon_H71 zenon_H6e zenon_H94 zenon_H9a zenon_Haa zenon_H55 zenon_Hb6 zenon_He8 zenon_Hec zenon_Hea zenon_Hf3.
% 19.63/19.83 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_Heb | zenon_intro zenon_H9b ].
% 19.63/19.83 apply (zenon_L62_); trivial.
% 19.63/19.83 apply (zenon_L35_); trivial.
% 19.63/19.83 (* end of lemma zenon_L63_ *)
% 19.63/19.83 assert (zenon_L64_ : ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e12) (e12)) = (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e12) (e12)) = (e13)))) -> ((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e10) (e10)) = (e12)))) -> ((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e12) (e12)) = (e10)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e11) (e11)) = (e13)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e11) (e11)) = (e10)))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e10) (e10)) = (e12)))) -> (~((op1 (e10) (e10)) = (e11))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((e11) = (e12))) -> (~((e10) = (e11))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e13) (e13)) = (e13)))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12)))) -> False).
% 19.63/19.83 do 0 intro. intros zenon_Hf5 zenon_Hf6 zenon_Hf4 zenon_H6b zenon_He8 zenon_Hf3 zenon_Hf7 zenon_Hbf zenon_Hbb zenon_H73 zenon_Hb8 zenon_H70 zenon_Hb6 zenon_Haa zenon_H9a zenon_H94 zenon_H6e zenon_H71 zenon_H8b zenon_H8d zenon_H84 zenon_Ha1 zenon_Ha5 zenon_Hab zenon_Haf zenon_Hb4 zenon_H60 zenon_Hb5 zenon_Hbc zenon_H56 zenon_H55 zenon_Hbe.
% 19.63/19.83 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H57 | zenon_intro zenon_Hea ].
% 19.63/19.83 apply (zenon_L58_); trivial.
% 19.63/19.83 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_H57 | zenon_intro zenon_H6f ].
% 19.63/19.83 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H58 | zenon_intro zenon_H9b ].
% 19.63/19.83 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H59 | zenon_intro zenon_Hb0 ].
% 19.63/19.83 apply (zenon_L18_); trivial.
% 19.63/19.83 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H59 | zenon_intro zenon_Hec ].
% 19.63/19.83 apply (zenon_L18_); trivial.
% 19.63/19.83 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H59 | zenon_intro zenon_H64 ].
% 19.63/19.83 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_Heb | zenon_intro zenon_H9b ].
% 19.63/19.83 apply (zenon_L61_); trivial.
% 19.63/19.83 apply (zenon_L36_); trivial.
% 19.63/19.83 apply (zenon_L63_); trivial.
% 19.63/19.83 apply (zenon_L36_); trivial.
% 19.63/19.83 apply zenon_H6f. apply sym_equal. exact zenon_H6e.
% 19.63/19.83 (* end of lemma zenon_L64_ *)
% 19.63/19.83 assert (zenon_L65_ : ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e12) (e12)) = (e10)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))) -> ((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e10) (e10)) = (e12)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e12) (e12)) = (e13)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e12) (e12)) = (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e11) (e11)) = (e13)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e13) (e13)) = (e13)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (op1 (e13) (e13)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (e11))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e10) (e10)) = (e12)))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e11) (e11)) = (e10)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11)))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12)))) -> False).
% 19.63/19.83 do 0 intro. intros zenon_Hf8 zenon_Hf7 zenon_Hf3 zenon_He8 zenon_H6b zenon_Hf4 zenon_Hf6 zenon_Hf5 zenon_Hbf zenon_Hbc zenon_Hb5 zenon_H60 zenon_Hb4 zenon_Haf zenon_Hab zenon_Ha5 zenon_Ha1 zenon_H84 zenon_H8d zenon_H8b zenon_H71 zenon_H6e zenon_H94 zenon_H9a zenon_Haa zenon_Hb6 zenon_H70 zenon_Hb8 zenon_Hbb zenon_Hbd zenon_H56 zenon_H55 zenon_Hbe.
% 19.63/19.83 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H57 | zenon_intro zenon_H73 ].
% 19.63/19.83 apply (zenon_L43_); trivial.
% 19.63/19.83 apply (zenon_L64_); trivial.
% 19.63/19.83 (* end of lemma zenon_L65_ *)
% 19.63/19.83 assert (zenon_L66_ : ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (e10))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e11) (e11)) = (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e10) (e10)) = (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((e11) = (e12))) -> (~((e10) = (e11))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e13) (e13)) = (e13)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e11) (e11)) = (e13)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e12) (e12)) = (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e12) (e12)) = (e13)))) -> ((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e10) (e10)) = (e12)))) -> ((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e12) (e12)) = (e10)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e11) (e11)) = (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e11) (e11)) = (e12))) -> (~((op1 (e11) (e11)) = (e13))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> False).
% 19.63/19.83 do 0 intro. intros zenon_Hc0 zenon_Hbe zenon_H55 zenon_H56 zenon_Hbd zenon_Hbb zenon_Hb8 zenon_Hb6 zenon_H9a zenon_H94 zenon_H8b zenon_H8d zenon_H84 zenon_Ha1 zenon_Ha5 zenon_Hab zenon_Haf zenon_Hb4 zenon_H60 zenon_Hb5 zenon_Hbc zenon_Hbf zenon_Hf5 zenon_Hf6 zenon_Hf4 zenon_H6b zenon_He8 zenon_Hf3 zenon_Hf7 zenon_Hf8 zenon_H72 zenon_H71 zenon_H6e zenon_H74 zenon_H75 zenon_H70.
% 19.63/19.83 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H73 | zenon_intro zenon_Haa ].
% 19.63/19.83 apply (zenon_L23_); trivial.
% 19.63/19.83 apply (zenon_L65_); trivial.
% 19.63/19.83 (* end of lemma zenon_L66_ *)
% 19.63/19.83 assert (zenon_L67_ : ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e10) (e10)) = (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((e11) = (e12))) -> (~((e10) = (e11))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> ((e11) = (op1 (e13) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e11) (e11)) = (e12)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e11) (e11)) = (e13)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e13) (e13)) = (e13)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e11) (e11)) = (e10)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e11) (e11)) = (e12)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (e20))) -> (~((h4 (op1 (e10) (e10))) = (op2 (h4 (e10)) (h4 (e10))))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e20)) = (e22))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e20) (e21)) = (e20))) -> (~((op2 (e20) (e20)) = (e20))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e12) (e12)) = (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e12) (e12)) = (e13)))) -> ((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e10) (e10)) = (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e12) (e12)) = (e10)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e11) (e11)) = (e11)))) -> False).
% 19.63/19.83 do 0 intro. intros zenon_Hf9 zenon_Hb7 zenon_Hb6 zenon_H9a zenon_H94 zenon_H8b zenon_H8d zenon_H84 zenon_Ha1 zenon_Ha5 zenon_Hab zenon_Haf zenon_Hb4 zenon_Hb5 zenon_H6b zenon_H60 zenon_H70 zenon_H6e zenon_H71 zenon_H72 zenon_H80 zenon_Hc0 zenon_Hbf zenon_Hbc zenon_Hbb zenon_Hbd zenon_Hbe zenon_Hb8 zenon_H56 zenon_H55 zenon_Hfa zenon_H12 zenon_H16 zenon_Hfb zenon_Hfc zenon_H2e zenon_Hc2 zenon_H2b zenon_Hda zenon_Hd4 zenon_H4c zenon_Hcd zenon_Hc7 zenon_H40 zenon_Hdf zenon_He3 zenon_Hfd zenon_H14 zenon_H13 zenon_Hf5 zenon_Hf6 zenon_Hf4 zenon_He8 zenon_Hf3 zenon_Hf7 zenon_Hf8.
% 19.63/19.83 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H57 | zenon_intro zenon_Haa ].
% 19.63/19.83 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H58 | zenon_intro zenon_H9b ].
% 19.63/19.83 apply (zenon_L45_); trivial.
% 19.63/19.83 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H58 | zenon_intro zenon_H74 ].
% 19.63/19.83 apply (zenon_L48_); trivial.
% 19.63/19.83 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H59 | zenon_intro zenon_H75 ].
% 19.63/19.83 apply (zenon_or_s _ _ zenon_H12); [ zenon_intro zenon_H18 | zenon_intro zenon_H17 ].
% 19.63/19.83 exact (zenon_H13 zenon_H18).
% 19.63/19.83 apply (zenon_or_s _ _ zenon_H17); [ zenon_intro zenon_H1a | zenon_intro zenon_H19 ].
% 19.63/19.83 exact (zenon_H14 zenon_H1a).
% 19.63/19.83 apply (zenon_or_s _ _ zenon_H19); [ zenon_intro zenon_H1c | zenon_intro zenon_H1b ].
% 19.63/19.83 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H44 | zenon_intro zenon_Hfe ].
% 19.63/19.83 apply (zenon_or_s _ _ zenon_H55); [ zenon_intro zenon_H5b | zenon_intro zenon_H5a ].
% 19.63/19.83 exact (zenon_H56 zenon_H5b).
% 19.63/19.83 apply (zenon_or_s _ _ zenon_H5a); [ zenon_intro zenon_H5d | zenon_intro zenon_H5c ].
% 19.63/19.83 exact (zenon_H57 zenon_H5d).
% 19.63/19.83 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H5f | zenon_intro zenon_H5e ].
% 19.63/19.83 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_Had | zenon_intro zenon_Hac ].
% 19.63/19.83 cut (((h4 (e11)) = (op2 (e23) (e23))) = ((h4 (op1 (e10) (e10))) = (op2 (h4 (e10)) (h4 (e10))))).
% 19.63/19.83 intro zenon_D_pnotp.
% 19.63/19.83 apply zenon_Hfb.
% 19.63/19.83 rewrite <- zenon_D_pnotp.
% 19.63/19.83 exact zenon_Hfc.
% 19.63/19.83 cut (((op2 (e23) (e23)) = (op2 (h4 (e10)) (h4 (e10))))); [idtac | apply NNPP; zenon_intro zenon_Hff].
% 19.63/19.83 cut (((h4 (e11)) = (h4 (op1 (e10) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H100].
% 19.63/19.83 congruence.
% 19.63/19.83 elim (classic ((h4 (op1 (e10) (e10))) = (h4 (op1 (e10) (e10))))); [ zenon_intro zenon_H101 | zenon_intro zenon_H102 ].
% 19.63/19.83 cut (((h4 (op1 (e10) (e10))) = (h4 (op1 (e10) (e10)))) = ((h4 (e11)) = (h4 (op1 (e10) (e10))))).
% 19.63/19.83 intro zenon_D_pnotp.
% 19.63/19.83 apply zenon_H100.
% 19.63/19.83 rewrite <- zenon_D_pnotp.
% 19.63/19.83 exact zenon_H101.
% 19.63/19.83 cut (((h4 (op1 (e10) (e10))) = (h4 (op1 (e10) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H102].
% 19.63/19.83 cut (((h4 (op1 (e10) (e10))) = (h4 (e11)))); [idtac | apply NNPP; zenon_intro zenon_H103].
% 19.63/19.83 congruence.
% 19.63/19.83 cut (((op1 (e10) (e10)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_Haa].
% 19.63/19.83 congruence.
% 19.63/19.83 exact (zenon_Haa zenon_Had).
% 19.63/19.83 apply zenon_H102. apply refl_equal.
% 19.63/19.83 apply zenon_H102. apply refl_equal.
% 19.63/19.83 elim (classic ((op2 (h4 (e10)) (h4 (e10))) = (op2 (h4 (e10)) (h4 (e10))))); [ zenon_intro zenon_H104 | zenon_intro zenon_H105 ].
% 19.63/19.83 cut (((op2 (h4 (e10)) (h4 (e10))) = (op2 (h4 (e10)) (h4 (e10)))) = ((op2 (e23) (e23)) = (op2 (h4 (e10)) (h4 (e10))))).
% 19.63/19.83 intro zenon_D_pnotp.
% 19.63/19.83 apply zenon_Hff.
% 19.63/19.83 rewrite <- zenon_D_pnotp.
% 19.63/19.83 exact zenon_H104.
% 19.63/19.83 cut (((op2 (h4 (e10)) (h4 (e10))) = (op2 (h4 (e10)) (h4 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H105].
% 19.63/19.83 cut (((op2 (h4 (e10)) (h4 (e10))) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H106].
% 19.63/19.83 congruence.
% 19.63/19.83 cut (((op2 (e20) (e20)) = (e21)) = ((op2 (h4 (e10)) (h4 (e10))) = (op2 (e23) (e23)))).
% 19.63/19.83 intro zenon_D_pnotp.
% 19.63/19.83 apply zenon_H106.
% 19.63/19.83 rewrite <- zenon_D_pnotp.
% 19.63/19.83 exact zenon_H44.
% 19.63/19.83 cut (((e21) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H107].
% 19.63/19.83 cut (((op2 (e20) (e20)) = (op2 (h4 (e10)) (h4 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H108].
% 19.63/19.83 congruence.
% 19.63/19.83 elim (classic ((op2 (h4 (e10)) (h4 (e10))) = (op2 (h4 (e10)) (h4 (e10))))); [ zenon_intro zenon_H104 | zenon_intro zenon_H105 ].
% 19.63/19.83 cut (((op2 (h4 (e10)) (h4 (e10))) = (op2 (h4 (e10)) (h4 (e10)))) = ((op2 (e20) (e20)) = (op2 (h4 (e10)) (h4 (e10))))).
% 19.63/19.83 intro zenon_D_pnotp.
% 19.63/19.83 apply zenon_H108.
% 19.63/19.83 rewrite <- zenon_D_pnotp.
% 19.63/19.83 exact zenon_H104.
% 19.63/19.83 cut (((op2 (h4 (e10)) (h4 (e10))) = (op2 (h4 (e10)) (h4 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H105].
% 19.63/19.83 cut (((op2 (h4 (e10)) (h4 (e10))) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H109].
% 19.63/19.83 congruence.
% 19.63/19.83 cut (((h4 (e10)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_Hc1].
% 19.63/19.83 cut (((h4 (e10)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_Hc1].
% 19.63/19.83 congruence.
% 19.63/19.83 apply (zenon_L49_); trivial.
% 19.63/19.83 apply (zenon_L49_); trivial.
% 19.63/19.83 apply zenon_H105. apply refl_equal.
% 19.63/19.83 apply zenon_H105. apply refl_equal.
% 19.63/19.83 exact (zenon_H107 zenon_H2b).
% 19.63/19.83 apply zenon_H105. apply refl_equal.
% 19.63/19.83 apply zenon_H105. apply refl_equal.
% 19.63/19.83 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H82 | zenon_intro zenon_Hae ].
% 19.63/19.83 apply (zenon_L30_); trivial.
% 19.63/19.83 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_Ha0 | zenon_intro zenon_Ha6 ].
% 19.63/19.83 apply (zenon_L32_); trivial.
% 19.63/19.83 apply (zenon_L33_); trivial.
% 19.63/19.83 exact (zenon_H59 zenon_H5e).
% 19.63/19.83 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H10a ].
% 19.63/19.83 apply (zenon_L54_); trivial.
% 19.63/19.83 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hde | zenon_intro zenon_He4 ].
% 19.63/19.83 apply (zenon_L56_); trivial.
% 19.63/19.83 apply (zenon_L57_); trivial.
% 19.63/19.83 exact (zenon_H16 zenon_H1b).
% 19.63/19.83 apply (zenon_L66_); trivial.
% 19.63/19.83 apply (zenon_L65_); trivial.
% 19.63/19.83 (* end of lemma zenon_L67_ *)
% 19.63/19.83 assert (zenon_L68_ : ((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e12) (e12)) = (e10)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e10) (e10)) = (e12)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e12) (e12)) = (e13)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e12) (e12)) = (e11)))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((op2 (e20) (e21)) = (e20))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e20)) = (e22))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> ((e21) = (op2 (e23) (e23))) -> ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> (~((h4 (op1 (e10) (e10))) = (op2 (h4 (e10)) (h4 (e10))))) -> (~((op2 (e20) (e23)) = (e20))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e11) (e11)) = (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e11) (e11)) = (e10)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e13) (e13)) = (e13)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e11) (e11)) = (e13)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e11) (e11)) = (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e10) (e10)) = (e12)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11)))) -> False).
% 19.63/19.83 do 0 intro. intros zenon_H10b zenon_Hf8 zenon_Hf7 zenon_Hf3 zenon_He8 zenon_Hf4 zenon_Hf6 zenon_Hf5 zenon_H13 zenon_H14 zenon_Hfd zenon_He3 zenon_Hdf zenon_H40 zenon_Hc7 zenon_Hcd zenon_H4c zenon_Hd4 zenon_Hda zenon_H2b zenon_Hc2 zenon_H2e zenon_Hfc zenon_Hfb zenon_H16 zenon_H12 zenon_Hfa zenon_H55 zenon_Hb8 zenon_Hbe zenon_Hbd zenon_Hbb zenon_Hbc zenon_Hbf zenon_Hc0 zenon_H80 zenon_H72 zenon_H71 zenon_H6e zenon_H70 zenon_H60 zenon_H6b zenon_Hb5 zenon_Hb4 zenon_Haf zenon_Hab zenon_Ha5 zenon_Ha1 zenon_H84 zenon_H8d zenon_H8b zenon_H94 zenon_H9a zenon_Hb6 zenon_Hb7 zenon_Hf9.
% 19.63/19.83 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_H56 | zenon_intro zenon_H56 ].
% 19.63/19.83 apply (zenon_L67_); trivial.
% 19.63/19.83 apply (zenon_L67_); trivial.
% 19.63/19.83 (* end of lemma zenon_L68_ *)
% 19.63/19.83 assert (zenon_L69_ : ((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e20) (e20)) = (e21)))) -> (~((op2 (e20) (e20)) = (e22))) -> ((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e20) (e20)) = (e21)))) -> ((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e20) (e20)) = (e22)))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((op2 (e20) (e20)) = (e23))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e23) (e23)) = (e21)))) -> ((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> (~((op2 (e21) (e21)) = (e23))) -> ((e21) = (op2 (e23) (e23))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e21) (e21)) = (e22)))) -> ((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e21) (e21)) = (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> ((~((op2 (e23) (e20)) = (e23)))\/(~((op2 (e21) (e21)) = (e20)))) -> False).
% 19.63/19.83 do 0 intro. intros zenon_H54 zenon_H40 zenon_H51 zenon_H48 zenon_H13 zenon_H41 zenon_H3e zenon_H47 zenon_H28 zenon_H1d zenon_H2d zenon_H32 zenon_H2b zenon_H2e zenon_H2f zenon_H3d zenon_H4f zenon_H4b zenon_H4c zenon_H50.
% 19.63/19.83 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H30 | zenon_intro zenon_H3f ].
% 19.63/19.83 apply (zenon_L13_); trivial.
% 19.63/19.83 apply (zenon_L8_); trivial.
% 19.63/19.83 (* end of lemma zenon_L69_ *)
% 19.63/19.83 assert (zenon_L70_ : ((~((op2 (e20) (e21)) = (e20)))\/(~((op2 (e20) (e20)) = (e21)))) -> ((~((op2 (e20) (e21)) = (e20)))\/(~((op2 (e23) (e23)) = (e21)))) -> ((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e20) (e20)) = (e21)))) -> ((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e20) (e20)) = (e23)))) -> ((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e21) (e21)) = (e23)))) -> ((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e20) (e20)) = (e21)))) -> ((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e20) (e20)) = (e22)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e23) (e23)) = (e21)))) -> ((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> ((e21) = (op2 (e23) (e23))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e21) (e21)) = (e22)))) -> ((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e21) (e21)) = (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> ((~((op2 (e23) (e20)) = (e23)))\/(~((op2 (e21) (e21)) = (e20)))) -> (~((op2 (e20) (e20)) = (e20))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e10) (e10)) = (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((e11) = (e12))) -> (~((e10) = (e11))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> ((e11) = (op1 (e13) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e11) (e11)) = (e12)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e11) (e11)) = (e13)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e13) (e13)) = (e13)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e11) (e11)) = (e10)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e11) (e11)) = (e12)))) -> (~((h4 (op1 (e10) (e10))) = (op2 (h4 (e10)) (h4 (e10))))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((e21) = (e22))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e12) (e12)) = (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e12) (e12)) = (e13)))) -> ((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e10) (e10)) = (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e12) (e12)) = (e10)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10)))) -> ((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e20) (e20)) = (e22)))) -> False).
% 19.63/19.83 do 0 intro. intros zenon_H10c zenon_H10d zenon_H54 zenon_H53 zenon_H52 zenon_H51 zenon_H48 zenon_H3e zenon_H47 zenon_H28 zenon_H1d zenon_H2d zenon_H2b zenon_H2e zenon_H2f zenon_H3d zenon_H4f zenon_H4b zenon_H4c zenon_H50 zenon_H13 zenon_H12 zenon_Hf9 zenon_Hb7 zenon_Hb6 zenon_H9a zenon_H94 zenon_H8b zenon_H8d zenon_H84 zenon_Ha1 zenon_Ha5 zenon_Hab zenon_Haf zenon_Hb4 zenon_Hb5 zenon_H6b zenon_H60 zenon_H70 zenon_H6e zenon_H71 zenon_H72 zenon_H80 zenon_Hc0 zenon_Hbf zenon_Hbc zenon_Hbb zenon_Hbd zenon_Hbe zenon_Hb8 zenon_H55 zenon_Hfa zenon_Hfb zenon_Hfc zenon_Hc2 zenon_Hda zenon_Hd4 zenon_Hcd zenon_Hc7 zenon_Hdf zenon_He3 zenon_Hfd zenon_Hf5 zenon_Hf6 zenon_Hf4 zenon_He8 zenon_Hf3 zenon_Hf7 zenon_Hf8 zenon_H10b zenon_H10e.
% 19.63/19.83 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_H14 | zenon_intro zenon_H3f ].
% 19.63/19.83 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H15 | zenon_intro zenon_H40 ].
% 19.63/19.83 apply (zenon_L17_); trivial.
% 19.63/19.83 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H16 | zenon_intro zenon_H41 ].
% 19.63/19.83 apply (zenon_L68_); trivial.
% 19.63/19.83 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H16 | zenon_intro zenon_H32 ].
% 19.63/19.83 apply (zenon_L68_); trivial.
% 19.63/19.83 apply (zenon_L69_); trivial.
% 19.63/19.83 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H14 | zenon_intro zenon_H2c ].
% 19.63/19.83 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H15 | zenon_intro zenon_H40 ].
% 19.63/19.83 apply (zenon_L17_); trivial.
% 19.63/19.83 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H16 | zenon_intro zenon_H41 ].
% 19.63/19.83 apply (zenon_L68_); trivial.
% 19.63/19.83 apply (zenon_L8_); trivial.
% 19.63/19.83 apply zenon_H2c. apply sym_equal. exact zenon_H2b.
% 19.63/19.83 (* end of lemma zenon_L70_ *)
% 19.63/19.83 assert (zenon_L71_ : ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e12) (e12)) = (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e12) (e12)) = (e13)))) -> ((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e10) (e10)) = (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e12) (e12)) = (e10)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e10) (e10)) = (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((e11) = (e12))) -> (~((e10) = (e11))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> ((e11) = (op1 (e13) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e11) (e11)) = (e12)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e11) (e11)) = (e13)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e13) (e13)) = (e13)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e11) (e11)) = (e10)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> (~((h4 (op1 (e10) (e11))) = (op2 (h4 (e10)) (h4 (e11))))) -> False).
% 19.63/19.83 do 0 intro. intros zenon_Hf9 zenon_Hf5 zenon_Hf6 zenon_Hf4 zenon_He8 zenon_Hf3 zenon_Hf7 zenon_Hf8 zenon_Hb7 zenon_Hb6 zenon_H9a zenon_H94 zenon_H8b zenon_H8d zenon_H84 zenon_Ha1 zenon_Ha5 zenon_Hab zenon_Haf zenon_Hb4 zenon_Hb5 zenon_H6b zenon_H60 zenon_H70 zenon_H6e zenon_H71 zenon_H72 zenon_H80 zenon_Hc0 zenon_Hbf zenon_Hbc zenon_Hbb zenon_Hbd zenon_Hbe zenon_Hb8 zenon_H56 zenon_H55 zenon_Hfc zenon_Hc2 zenon_H10f zenon_H110.
% 19.63/19.83 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H57 | zenon_intro zenon_Haa ].
% 19.63/19.83 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H58 | zenon_intro zenon_H9b ].
% 19.63/19.83 apply (zenon_L45_); trivial.
% 19.63/19.83 apply (zenon_or_s _ _ zenon_H9a); [ zenon_intro zenon_H9d | zenon_intro zenon_H9c ].
% 19.63/19.83 exact (zenon_H9b zenon_H9d).
% 19.63/19.83 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H83 | zenon_intro zenon_H9e ].
% 19.63/19.83 cut (((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) = ((h4 (op1 (e10) (e11))) = (op2 (h4 (e10)) (h4 (e11))))).
% 19.63/19.83 intro zenon_D_pnotp.
% 19.63/19.83 apply zenon_H110.
% 19.63/19.83 rewrite <- zenon_D_pnotp.
% 19.63/19.83 exact zenon_H10f.
% 19.63/19.83 cut (((op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23))) = (op2 (h4 (e10)) (h4 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H111].
% 19.63/19.83 cut (((h4 (e12)) = (h4 (op1 (e10) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H112].
% 19.63/19.83 congruence.
% 19.63/19.83 elim (classic ((h4 (op1 (e10) (e11))) = (h4 (op1 (e10) (e11))))); [ zenon_intro zenon_H113 | zenon_intro zenon_H114 ].
% 19.63/19.83 cut (((h4 (op1 (e10) (e11))) = (h4 (op1 (e10) (e11)))) = ((h4 (e12)) = (h4 (op1 (e10) (e11))))).
% 19.63/19.83 intro zenon_D_pnotp.
% 19.63/19.83 apply zenon_H112.
% 19.63/19.83 rewrite <- zenon_D_pnotp.
% 19.63/19.83 exact zenon_H113.
% 19.63/19.83 cut (((h4 (op1 (e10) (e11))) = (h4 (op1 (e10) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H114].
% 19.63/19.83 cut (((h4 (op1 (e10) (e11))) = (h4 (e12)))); [idtac | apply NNPP; zenon_intro zenon_H115].
% 19.63/19.83 congruence.
% 19.63/19.83 cut (((op1 (e10) (e11)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H88].
% 19.63/19.83 congruence.
% 19.63/19.83 exact (zenon_H88 zenon_H83).
% 19.63/19.83 apply zenon_H114. apply refl_equal.
% 19.63/19.83 apply zenon_H114. apply refl_equal.
% 19.63/19.83 cut (((op2 (e23) (e23)) = (h4 (e11)))); [idtac | apply NNPP; zenon_intro zenon_H116].
% 19.63/19.84 cut (((op2 (e23) (op2 (e23) (e23))) = (h4 (e10)))); [idtac | apply NNPP; zenon_intro zenon_H117].
% 19.63/19.84 congruence.
% 19.63/19.84 apply zenon_H117. apply sym_equal. exact zenon_Hc2.
% 19.63/19.84 apply zenon_H116. apply sym_equal. exact zenon_Hfc.
% 19.63/19.84 apply (zenon_or_s _ _ zenon_H9e); [ zenon_intro zenon_H8c | zenon_intro zenon_H93 ].
% 19.63/19.84 apply (zenon_L28_); trivial.
% 19.63/19.84 apply (zenon_L29_); trivial.
% 19.63/19.84 apply (zenon_L65_); trivial.
% 19.63/19.84 (* end of lemma zenon_L71_ *)
% 19.63/19.84 assert (zenon_L72_ : ((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10)))) -> (~((h4 (op1 (e10) (e11))) = (op2 (h4 (e10)) (h4 (e11))))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e11) (e11)) = (e10)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e13) (e13)) = (e13)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e11) (e11)) = (e13)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e11) (e11)) = (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e10) (e10)) = (e12)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e12) (e12)) = (e10)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e10) (e10)) = (e12)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e12) (e12)) = (e13)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e12) (e12)) = (e11)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11)))) -> False).
% 19.63/19.84 do 0 intro. intros zenon_H10b zenon_H110 zenon_H10f zenon_Hc2 zenon_Hfc zenon_H55 zenon_Hb8 zenon_Hbe zenon_Hbd zenon_Hbb zenon_Hbc zenon_Hbf zenon_Hc0 zenon_H80 zenon_H72 zenon_H71 zenon_H6e zenon_H70 zenon_H60 zenon_H6b zenon_Hb5 zenon_Hb4 zenon_Haf zenon_Hab zenon_Ha5 zenon_Ha1 zenon_H84 zenon_H8d zenon_H8b zenon_H94 zenon_H9a zenon_Hb6 zenon_Hb7 zenon_Hf8 zenon_Hf7 zenon_Hf3 zenon_He8 zenon_Hf4 zenon_Hf6 zenon_Hf5 zenon_Hf9.
% 19.63/19.84 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_H56 | zenon_intro zenon_H56 ].
% 19.63/19.84 apply (zenon_L71_); trivial.
% 19.63/19.84 apply (zenon_L71_); trivial.
% 19.63/19.84 (* end of lemma zenon_L72_ *)
% 19.63/19.84 assert (zenon_L73_ : (~((h4 (e12)) = (e22))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> False).
% 19.63/19.84 do 0 intro. intros zenon_H118 zenon_H10f zenon_H4c.
% 19.63/19.84 cut (((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) = ((h4 (e12)) = (e22))).
% 19.63/19.84 intro zenon_D_pnotp.
% 19.63/19.84 apply zenon_H118.
% 19.63/19.84 rewrite <- zenon_D_pnotp.
% 19.63/19.84 exact zenon_H10f.
% 19.63/19.84 cut (((op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23))) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H119].
% 19.63/19.84 cut (((h4 (e12)) = (h4 (e12)))); [idtac | apply NNPP; zenon_intro zenon_H11a].
% 19.63/19.84 congruence.
% 19.63/19.84 apply zenon_H11a. apply refl_equal.
% 19.63/19.84 apply zenon_H119. apply sym_equal. exact zenon_H4c.
% 19.63/19.84 (* end of lemma zenon_L73_ *)
% 19.63/19.84 assert (zenon_L74_ : ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e10) (e10)) = (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((e11) = (e12))) -> (~((e10) = (e11))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> ((e11) = (op1 (e13) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e11) (e11)) = (e12)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e11) (e11)) = (e13)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e13) (e13)) = (e13)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e11) (e11)) = (e10)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e11) (e11)) = (e12)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (e20))) -> (~((h4 (op1 (e10) (e12))) = (op2 (h4 (e10)) (h4 (e12))))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (e20))) -> (~((op2 (e20) (e20)) = (e20))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e12) (e12)) = (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e12) (e12)) = (e13)))) -> ((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e10) (e10)) = (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e12) (e12)) = (e10)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e11) (e11)) = (e11)))) -> False).
% 19.63/19.84 do 0 intro. intros zenon_Hf9 zenon_Hb7 zenon_Hb6 zenon_H9a zenon_H94 zenon_H8b zenon_H8d zenon_H84 zenon_Ha1 zenon_Ha5 zenon_Hab zenon_Haf zenon_Hb4 zenon_Hb5 zenon_H6b zenon_H60 zenon_H70 zenon_H6e zenon_H71 zenon_H72 zenon_H80 zenon_Hc0 zenon_Hbf zenon_Hbc zenon_Hbb zenon_Hbd zenon_Hbe zenon_Hb8 zenon_H56 zenon_H55 zenon_Hfa zenon_H12 zenon_H16 zenon_H11b zenon_H4c zenon_H10f zenon_H2e zenon_Hc2 zenon_H14 zenon_H13 zenon_Hf5 zenon_Hf6 zenon_Hf4 zenon_He8 zenon_Hf3 zenon_Hf7 zenon_Hf8.
% 19.63/19.84 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H57 | zenon_intro zenon_Haa ].
% 19.63/19.84 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H58 | zenon_intro zenon_H9b ].
% 19.63/19.84 apply (zenon_L45_); trivial.
% 19.63/19.84 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H58 | zenon_intro zenon_H74 ].
% 19.63/19.84 apply (zenon_L48_); trivial.
% 19.63/19.84 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H59 | zenon_intro zenon_H75 ].
% 19.63/19.84 apply (zenon_or_s _ _ zenon_H12); [ zenon_intro zenon_H18 | zenon_intro zenon_H17 ].
% 19.63/19.84 exact (zenon_H13 zenon_H18).
% 19.63/19.84 apply (zenon_or_s _ _ zenon_H17); [ zenon_intro zenon_H1a | zenon_intro zenon_H19 ].
% 19.63/19.84 exact (zenon_H14 zenon_H1a).
% 19.63/19.84 apply (zenon_or_s _ _ zenon_H19); [ zenon_intro zenon_H1c | zenon_intro zenon_H1b ].
% 19.63/19.84 apply (zenon_or_s _ _ zenon_H55); [ zenon_intro zenon_H5b | zenon_intro zenon_H5a ].
% 19.63/19.84 exact (zenon_H56 zenon_H5b).
% 19.63/19.84 apply (zenon_or_s _ _ zenon_H5a); [ zenon_intro zenon_H5d | zenon_intro zenon_H5c ].
% 19.63/19.84 exact (zenon_H57 zenon_H5d).
% 19.63/19.84 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H5f | zenon_intro zenon_H5e ].
% 19.63/19.84 cut (((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) = ((h4 (op1 (e10) (e12))) = (op2 (h4 (e10)) (h4 (e12))))).
% 19.63/19.84 intro zenon_D_pnotp.
% 19.63/19.84 apply zenon_H11b.
% 19.63/19.84 rewrite <- zenon_D_pnotp.
% 19.63/19.84 exact zenon_Hc2.
% 19.63/19.84 cut (((op2 (e23) (op2 (e23) (e23))) = (op2 (h4 (e10)) (h4 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H11c].
% 19.63/19.84 cut (((h4 (e10)) = (h4 (op1 (e10) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H11d].
% 19.63/19.84 congruence.
% 19.63/19.84 elim (classic ((h4 (op1 (e10) (e12))) = (h4 (op1 (e10) (e12))))); [ zenon_intro zenon_H11e | zenon_intro zenon_H11f ].
% 19.63/19.84 cut (((h4 (op1 (e10) (e12))) = (h4 (op1 (e10) (e12)))) = ((h4 (e10)) = (h4 (op1 (e10) (e12))))).
% 19.63/19.84 intro zenon_D_pnotp.
% 19.63/19.84 apply zenon_H11d.
% 19.63/19.84 rewrite <- zenon_D_pnotp.
% 19.63/19.84 exact zenon_H11e.
% 19.63/19.84 cut (((h4 (op1 (e10) (e12))) = (h4 (op1 (e10) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H11f].
% 19.63/19.84 cut (((h4 (op1 (e10) (e12))) = (h4 (e10)))); [idtac | apply NNPP; zenon_intro zenon_H120].
% 19.63/19.84 congruence.
% 19.63/19.84 cut (((op1 (e10) (e12)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H58].
% 19.63/19.84 congruence.
% 19.63/19.84 exact (zenon_H58 zenon_H5f).
% 19.63/19.84 apply zenon_H11f. apply refl_equal.
% 19.63/19.84 apply zenon_H11f. apply refl_equal.
% 19.63/19.84 elim (classic ((op2 (h4 (e10)) (h4 (e12))) = (op2 (h4 (e10)) (h4 (e12))))); [ zenon_intro zenon_H121 | zenon_intro zenon_H122 ].
% 19.63/19.84 cut (((op2 (h4 (e10)) (h4 (e12))) = (op2 (h4 (e10)) (h4 (e12)))) = ((op2 (e23) (op2 (e23) (e23))) = (op2 (h4 (e10)) (h4 (e12))))).
% 19.63/19.84 intro zenon_D_pnotp.
% 19.63/19.84 apply zenon_H11c.
% 19.63/19.84 rewrite <- zenon_D_pnotp.
% 19.63/19.84 exact zenon_H121.
% 19.63/19.84 cut (((op2 (h4 (e10)) (h4 (e12))) = (op2 (h4 (e10)) (h4 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H122].
% 19.63/19.84 cut (((op2 (h4 (e10)) (h4 (e12))) = (op2 (e23) (op2 (e23) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H123].
% 19.63/19.84 congruence.
% 19.63/19.84 cut (((op2 (e20) (e22)) = (e20)) = ((op2 (h4 (e10)) (h4 (e12))) = (op2 (e23) (op2 (e23) (e23))))).
% 19.63/19.84 intro zenon_D_pnotp.
% 19.63/19.84 apply zenon_H123.
% 19.63/19.84 rewrite <- zenon_D_pnotp.
% 19.63/19.84 exact zenon_H1c.
% 19.63/19.84 cut (((e20) = (op2 (e23) (op2 (e23) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H124].
% 19.63/19.84 cut (((op2 (e20) (e22)) = (op2 (h4 (e10)) (h4 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H125].
% 19.63/19.84 congruence.
% 19.63/19.84 elim (classic ((op2 (h4 (e10)) (h4 (e12))) = (op2 (h4 (e10)) (h4 (e12))))); [ zenon_intro zenon_H121 | zenon_intro zenon_H122 ].
% 19.63/19.84 cut (((op2 (h4 (e10)) (h4 (e12))) = (op2 (h4 (e10)) (h4 (e12)))) = ((op2 (e20) (e22)) = (op2 (h4 (e10)) (h4 (e12))))).
% 19.63/19.84 intro zenon_D_pnotp.
% 19.63/19.84 apply zenon_H125.
% 19.63/19.84 rewrite <- zenon_D_pnotp.
% 19.63/19.84 exact zenon_H121.
% 19.63/19.84 cut (((op2 (h4 (e10)) (h4 (e12))) = (op2 (h4 (e10)) (h4 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H122].
% 19.63/19.84 cut (((op2 (h4 (e10)) (h4 (e12))) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H126].
% 19.63/19.84 congruence.
% 19.63/19.84 cut (((h4 (e12)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H118].
% 19.63/19.84 cut (((h4 (e10)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_Hc1].
% 19.63/19.84 congruence.
% 19.63/19.84 apply (zenon_L49_); trivial.
% 19.63/19.84 apply (zenon_L73_); trivial.
% 19.63/19.84 apply zenon_H122. apply refl_equal.
% 19.63/19.84 apply zenon_H122. apply refl_equal.
% 19.63/19.84 exact (zenon_H124 zenon_H2e).
% 19.63/19.84 apply zenon_H122. apply refl_equal.
% 19.63/19.84 apply zenon_H122. apply refl_equal.
% 19.63/19.84 exact (zenon_H59 zenon_H5e).
% 19.63/19.84 exact (zenon_H16 zenon_H1b).
% 19.63/19.84 apply (zenon_L66_); trivial.
% 19.63/19.84 apply (zenon_L65_); trivial.
% 19.63/19.84 (* end of lemma zenon_L74_ *)
% 19.63/19.84 assert (zenon_L75_ : ((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e12) (e12)) = (e10)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e10) (e10)) = (e12)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e12) (e12)) = (e13)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e12) (e12)) = (e11)))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((op2 (e20) (e21)) = (e20))) -> ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> (~((h4 (op1 (e10) (e12))) = (op2 (h4 (e10)) (h4 (e12))))) -> (~((op2 (e20) (e23)) = (e20))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e11) (e11)) = (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e11) (e11)) = (e10)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e13) (e13)) = (e13)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e11) (e11)) = (e13)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e11) (e11)) = (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e10) (e10)) = (e12)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11)))) -> False).
% 19.63/19.84 do 0 intro. intros zenon_H10b zenon_Hf8 zenon_Hf7 zenon_Hf3 zenon_He8 zenon_Hf4 zenon_Hf6 zenon_Hf5 zenon_H13 zenon_H14 zenon_Hc2 zenon_H2e zenon_H10f zenon_H4c zenon_H11b zenon_H16 zenon_H12 zenon_Hfa zenon_H55 zenon_Hb8 zenon_Hbe zenon_Hbd zenon_Hbb zenon_Hbc zenon_Hbf zenon_Hc0 zenon_H80 zenon_H72 zenon_H71 zenon_H6e zenon_H70 zenon_H60 zenon_H6b zenon_Hb5 zenon_Hb4 zenon_Haf zenon_Hab zenon_Ha5 zenon_Ha1 zenon_H84 zenon_H8d zenon_H8b zenon_H94 zenon_H9a zenon_Hb6 zenon_Hb7 zenon_Hf9.
% 19.63/19.84 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_H56 | zenon_intro zenon_H56 ].
% 19.63/19.84 apply (zenon_L74_); trivial.
% 19.63/19.84 apply (zenon_L74_); trivial.
% 19.63/19.84 (* end of lemma zenon_L75_ *)
% 19.63/19.84 assert (zenon_L76_ : ((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e20) (e20)) = (e23)))) -> (~((op2 (e20) (e20)) = (e21))) -> (~((op2 (e20) (e20)) = (e22))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e10) (e10)) = (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((e11) = (e12))) -> (~((e10) = (e11))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> ((e11) = (op1 (e13) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e11) (e11)) = (e12)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e11) (e11)) = (e13)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e13) (e13)) = (e13)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e11) (e11)) = (e10)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e11) (e11)) = (e12)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> (~((h4 (op1 (e10) (e12))) = (op2 (h4 (e10)) (h4 (e12))))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (e20))) -> (~((op2 (e20) (e20)) = (e20))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e12) (e12)) = (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e12) (e12)) = (e13)))) -> ((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e10) (e10)) = (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e12) (e12)) = (e10)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10)))) -> False).
% 19.63/19.84 do 0 intro. intros zenon_H53 zenon_H3f zenon_H40 zenon_H3e zenon_Hf9 zenon_Hb7 zenon_Hb6 zenon_H9a zenon_H94 zenon_H8b zenon_H8d zenon_H84 zenon_Ha1 zenon_Ha5 zenon_Hab zenon_Haf zenon_Hb4 zenon_Hb5 zenon_H6b zenon_H60 zenon_H70 zenon_H6e zenon_H71 zenon_H72 zenon_H80 zenon_Hc0 zenon_Hbf zenon_Hbc zenon_Hbb zenon_Hbd zenon_Hbe zenon_Hb8 zenon_H55 zenon_Hfa zenon_H12 zenon_H11b zenon_H4c zenon_H10f zenon_H2e zenon_Hc2 zenon_H14 zenon_H13 zenon_Hf5 zenon_Hf6 zenon_Hf4 zenon_He8 zenon_Hf3 zenon_Hf7 zenon_Hf8 zenon_H10b.
% 19.63/19.84 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H16 | zenon_intro zenon_H41 ].
% 19.63/19.84 apply (zenon_L75_); trivial.
% 19.63/19.84 apply (zenon_L8_); trivial.
% 19.63/19.84 (* end of lemma zenon_L76_ *)
% 19.63/19.84 assert (zenon_L77_ : ((~((op2 (e20) (e21)) = (e20)))\/(~((op2 (e20) (e20)) = (e21)))) -> ((~((op2 (e20) (e21)) = (e20)))\/(~((op2 (e23) (e23)) = (e21)))) -> ((~((op2 (e20) (e21)) = (e20)))\/(~((op2 (e21) (e21)) = (e21)))) -> ((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e20) (e20)) = (e21)))) -> ((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e20) (e20)) = (e23)))) -> ((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e21) (e21)) = (e23)))) -> ((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e20) (e20)) = (e21)))) -> ((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e20) (e20)) = (e22)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e23) (e23)) = (e21)))) -> ((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> ((e21) = (op2 (e23) (e23))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e21) (e21)) = (e22)))) -> ((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e21) (e21)) = (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> ((~((op2 (e23) (e20)) = (e23)))\/(~((op2 (e21) (e21)) = (e20)))) -> (~((op2 (e20) (e20)) = (e20))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e10) (e10)) = (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((e11) = (e12))) -> (~((e10) = (e11))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> ((e11) = (op1 (e13) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e11) (e11)) = (e12)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e11) (e11)) = (e13)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e13) (e13)) = (e13)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e11) (e11)) = (e10)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e11) (e11)) = (e12)))) -> (~((h4 (op1 (e10) (e12))) = (op2 (h4 (e10)) (h4 (e12))))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e12) (e12)) = (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e12) (e12)) = (e13)))) -> ((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e10) (e10)) = (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e12) (e12)) = (e10)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10)))) -> ((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e20) (e20)) = (e22)))) -> False).
% 19.63/19.84 do 0 intro. intros zenon_H10c zenon_H10d zenon_H127 zenon_H54 zenon_H53 zenon_H52 zenon_H51 zenon_H48 zenon_H3e zenon_H47 zenon_H28 zenon_H1d zenon_H2d zenon_H2b zenon_H2e zenon_H2f zenon_H3d zenon_H4f zenon_H4b zenon_H4c zenon_H50 zenon_H13 zenon_H12 zenon_Hf9 zenon_Hb7 zenon_Hb6 zenon_H9a zenon_H94 zenon_H8b zenon_H8d zenon_H84 zenon_Ha1 zenon_Ha5 zenon_Hab zenon_Haf zenon_Hb4 zenon_Hb5 zenon_H6b zenon_H60 zenon_H70 zenon_H6e zenon_H71 zenon_H72 zenon_H80 zenon_Hc0 zenon_Hbf zenon_Hbc zenon_Hbb zenon_Hbd zenon_Hbe zenon_Hb8 zenon_H55 zenon_Hfa zenon_H11b zenon_H10f zenon_Hc2 zenon_Hf5 zenon_Hf6 zenon_Hf4 zenon_He8 zenon_Hf3 zenon_Hf7 zenon_Hf8 zenon_H10b zenon_H10e.
% 19.63/19.84 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_H14 | zenon_intro zenon_H3f ].
% 19.63/19.84 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H15 | zenon_intro zenon_H40 ].
% 19.63/19.84 apply (zenon_L17_); trivial.
% 19.63/19.84 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H16 | zenon_intro zenon_H41 ].
% 19.63/19.84 apply (zenon_L75_); trivial.
% 19.63/19.84 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H16 | zenon_intro zenon_H32 ].
% 19.63/19.84 apply (zenon_L75_); trivial.
% 19.63/19.84 apply (zenon_L69_); trivial.
% 19.63/19.84 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H14 | zenon_intro zenon_H30 ].
% 19.63/19.84 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H15 | zenon_intro zenon_H40 ].
% 19.63/19.84 apply (zenon_L16_); trivial.
% 19.63/19.84 apply (zenon_L76_); trivial.
% 19.63/19.84 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H14 | zenon_intro zenon_H2c ].
% 19.63/19.84 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H15 | zenon_intro zenon_H40 ].
% 19.63/19.84 apply (zenon_L15_); trivial.
% 19.63/19.84 apply (zenon_L76_); trivial.
% 19.63/19.84 apply zenon_H2c. apply sym_equal. exact zenon_H2b.
% 19.63/19.84 (* end of lemma zenon_L77_ *)
% 19.63/19.84 assert (zenon_L78_ : ((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e20) (e20)) = (e23)))) -> ((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e20) (e20)) = (e21)))) -> (~((op2 (e20) (e20)) = (e22))) -> ((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e20) (e20)) = (e21)))) -> ((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e20) (e20)) = (e22)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e23) (e23)) = (e21)))) -> ((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> ((e21) = (op2 (e23) (e23))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e21) (e21)) = (e22)))) -> ((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e21) (e21)) = (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> ((~((op2 (e23) (e20)) = (e23)))\/(~((op2 (e21) (e21)) = (e20)))) -> ((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e21) (e21)) = (e23)))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((op2 (e20) (e21)) = (e20))) -> (~((op2 (e20) (e22)) = (e20))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> False).
% 19.63/19.84 do 0 intro. intros zenon_H53 zenon_H54 zenon_H40 zenon_H51 zenon_H48 zenon_H3e zenon_H47 zenon_H28 zenon_H1d zenon_H2d zenon_H2b zenon_H2e zenon_H2f zenon_H3d zenon_H4f zenon_H4b zenon_H4c zenon_H50 zenon_H52 zenon_H13 zenon_H14 zenon_H15 zenon_H12.
% 19.63/19.84 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H16 | zenon_intro zenon_H41 ].
% 19.63/19.84 apply (zenon_L1_); trivial.
% 19.63/19.84 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H16 | zenon_intro zenon_H32 ].
% 19.63/19.84 apply (zenon_L1_); trivial.
% 19.63/19.84 apply (zenon_L69_); trivial.
% 19.63/19.84 (* end of lemma zenon_L78_ *)
% 19.63/19.84 assert (zenon_L79_ : (~((h4 (op1 (e10) (e13))) = (op2 (h4 (e10)) (h4 (e13))))) -> ((op1 (e10) (e13)) = (e13)) -> ((op2 (e20) (e23)) = (e23)) -> ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e13)) = (e23)) -> False).
% 19.63/19.84 do 0 intro. intros zenon_H128 zenon_H129 zenon_H12a zenon_Hc2 zenon_H2e zenon_H12b.
% 19.63/19.84 cut (((h4 (e13)) = (e23)) = ((h4 (op1 (e10) (e13))) = (op2 (h4 (e10)) (h4 (e13))))).
% 19.63/19.84 intro zenon_D_pnotp.
% 19.63/19.84 apply zenon_H128.
% 19.63/19.84 rewrite <- zenon_D_pnotp.
% 19.63/19.84 exact zenon_H12b.
% 19.63/19.84 cut (((e23) = (op2 (h4 (e10)) (h4 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H12c].
% 19.63/19.84 cut (((h4 (e13)) = (h4 (op1 (e10) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H12d].
% 19.63/19.84 congruence.
% 19.63/19.84 elim (classic ((h4 (op1 (e10) (e13))) = (h4 (op1 (e10) (e13))))); [ zenon_intro zenon_H12e | zenon_intro zenon_H12f ].
% 19.63/19.84 cut (((h4 (op1 (e10) (e13))) = (h4 (op1 (e10) (e13)))) = ((h4 (e13)) = (h4 (op1 (e10) (e13))))).
% 19.63/19.84 intro zenon_D_pnotp.
% 19.63/19.84 apply zenon_H12d.
% 19.63/19.84 rewrite <- zenon_D_pnotp.
% 19.63/19.84 exact zenon_H12e.
% 19.63/19.84 cut (((h4 (op1 (e10) (e13))) = (h4 (op1 (e10) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H12f].
% 19.63/19.84 cut (((h4 (op1 (e10) (e13))) = (h4 (e13)))); [idtac | apply NNPP; zenon_intro zenon_H130].
% 19.63/19.84 congruence.
% 19.63/19.84 cut (((op1 (e10) (e13)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H131].
% 19.63/19.84 congruence.
% 19.63/19.84 exact (zenon_H131 zenon_H129).
% 19.63/19.84 apply zenon_H12f. apply refl_equal.
% 19.63/19.84 apply zenon_H12f. apply refl_equal.
% 19.63/19.84 elim (classic ((op2 (h4 (e10)) (h4 (e13))) = (op2 (h4 (e10)) (h4 (e13))))); [ zenon_intro zenon_H132 | zenon_intro zenon_H133 ].
% 19.63/19.84 cut (((op2 (h4 (e10)) (h4 (e13))) = (op2 (h4 (e10)) (h4 (e13)))) = ((e23) = (op2 (h4 (e10)) (h4 (e13))))).
% 19.63/19.84 intro zenon_D_pnotp.
% 19.63/19.84 apply zenon_H12c.
% 19.63/19.84 rewrite <- zenon_D_pnotp.
% 19.63/19.84 exact zenon_H132.
% 19.63/19.84 cut (((op2 (h4 (e10)) (h4 (e13))) = (op2 (h4 (e10)) (h4 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H133].
% 19.63/19.84 cut (((op2 (h4 (e10)) (h4 (e13))) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H134].
% 19.63/19.84 congruence.
% 19.63/19.84 cut (((op2 (e20) (e23)) = (e23)) = ((op2 (h4 (e10)) (h4 (e13))) = (e23))).
% 19.63/19.84 intro zenon_D_pnotp.
% 19.63/19.84 apply zenon_H134.
% 19.63/19.84 rewrite <- zenon_D_pnotp.
% 19.63/19.84 exact zenon_H12a.
% 19.63/19.84 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H29].
% 19.63/19.84 cut (((op2 (e20) (e23)) = (op2 (h4 (e10)) (h4 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H135].
% 19.63/19.84 congruence.
% 19.63/19.84 elim (classic ((op2 (h4 (e10)) (h4 (e13))) = (op2 (h4 (e10)) (h4 (e13))))); [ zenon_intro zenon_H132 | zenon_intro zenon_H133 ].
% 19.63/19.84 cut (((op2 (h4 (e10)) (h4 (e13))) = (op2 (h4 (e10)) (h4 (e13)))) = ((op2 (e20) (e23)) = (op2 (h4 (e10)) (h4 (e13))))).
% 19.63/19.84 intro zenon_D_pnotp.
% 19.63/19.84 apply zenon_H135.
% 19.63/19.84 rewrite <- zenon_D_pnotp.
% 19.63/19.84 exact zenon_H132.
% 19.63/19.84 cut (((op2 (h4 (e10)) (h4 (e13))) = (op2 (h4 (e10)) (h4 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H133].
% 19.63/19.84 cut (((op2 (h4 (e10)) (h4 (e13))) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H136].
% 19.63/19.84 congruence.
% 19.63/19.84 cut (((h4 (e13)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H137].
% 19.63/19.84 cut (((h4 (e10)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_Hc1].
% 19.63/19.84 congruence.
% 19.63/19.84 apply (zenon_L49_); trivial.
% 19.63/19.84 exact (zenon_H137 zenon_H12b).
% 19.63/19.84 apply zenon_H133. apply refl_equal.
% 19.63/19.84 apply zenon_H133. apply refl_equal.
% 19.63/19.84 apply zenon_H29. apply refl_equal.
% 19.63/19.84 apply zenon_H133. apply refl_equal.
% 19.63/19.84 apply zenon_H133. apply refl_equal.
% 19.63/19.84 (* end of lemma zenon_L79_ *)
% 19.63/19.84 assert (zenon_L80_ : (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e10) (e13)) = (e13)) -> ((op1 (e11) (e13)) = (e13)) -> False).
% 19.63/19.84 do 0 intro. intros zenon_H138 zenon_H129 zenon_H139.
% 19.63/19.84 cut (((op1 (e10) (e13)) = (e13)) = ((op1 (e10) (e13)) = (op1 (e11) (e13)))).
% 19.63/19.84 intro zenon_D_pnotp.
% 19.63/19.84 apply zenon_H138.
% 19.63/19.84 rewrite <- zenon_D_pnotp.
% 19.63/19.84 exact zenon_H129.
% 19.63/19.84 cut (((e13) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H13a].
% 19.63/19.84 cut (((op1 (e10) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H96].
% 19.63/19.84 congruence.
% 19.63/19.84 apply zenon_H96. apply refl_equal.
% 19.63/19.84 apply zenon_H13a. apply sym_equal. exact zenon_H139.
% 19.63/19.84 (* end of lemma zenon_L80_ *)
% 19.63/19.84 assert (zenon_L81_ : (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (e10))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e11) (e13)) = (e13)) -> False).
% 19.63/19.84 do 0 intro. intros zenon_H13b zenon_H59 zenon_Ha5 zenon_H94 zenon_H71 zenon_H6e zenon_H8b zenon_H138 zenon_H139.
% 19.63/19.84 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H5e | zenon_intro zenon_H13c ].
% 19.63/19.84 exact (zenon_H59 zenon_H5e).
% 19.63/19.84 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H13d ].
% 19.63/19.84 apply (zenon_L33_); trivial.
% 19.63/19.84 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H93 | zenon_intro zenon_H129 ].
% 19.63/19.84 apply (zenon_L29_); trivial.
% 19.63/19.84 apply (zenon_L80_); trivial.
% 19.63/19.84 (* end of lemma zenon_L81_ *)
% 19.63/19.84 assert (zenon_L82_ : (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e10) (e13)) = (e13)) -> ((op1 (e12) (e13)) = (e13)) -> False).
% 19.63/19.84 do 0 intro. intros zenon_H13e zenon_H129 zenon_H13f.
% 19.63/19.84 cut (((op1 (e10) (e13)) = (e13)) = ((op1 (e10) (e13)) = (op1 (e12) (e13)))).
% 19.63/19.84 intro zenon_D_pnotp.
% 19.63/19.84 apply zenon_H13e.
% 19.63/19.84 rewrite <- zenon_D_pnotp.
% 19.63/19.84 exact zenon_H129.
% 19.63/19.84 cut (((e13) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H140].
% 19.63/19.84 cut (((op1 (e10) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H96].
% 19.63/19.84 congruence.
% 19.63/19.84 apply zenon_H96. apply refl_equal.
% 19.63/19.84 apply zenon_H140. apply sym_equal. exact zenon_H13f.
% 19.63/19.84 (* end of lemma zenon_L82_ *)
% 19.63/19.84 assert (zenon_L83_ : (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (e10))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e12) (e13)) = (e13)) -> False).
% 19.63/19.84 do 0 intro. intros zenon_H13b zenon_H59 zenon_Ha5 zenon_H94 zenon_H71 zenon_H6e zenon_H8b zenon_H13e zenon_H13f.
% 19.63/19.84 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H5e | zenon_intro zenon_H13c ].
% 19.63/19.84 exact (zenon_H59 zenon_H5e).
% 19.63/19.84 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H13d ].
% 19.63/19.84 apply (zenon_L33_); trivial.
% 19.63/19.84 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H93 | zenon_intro zenon_H129 ].
% 19.63/19.84 apply (zenon_L29_); trivial.
% 19.63/19.84 apply (zenon_L82_); trivial.
% 19.63/19.84 (* end of lemma zenon_L83_ *)
% 19.63/19.84 assert (zenon_L84_ : (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((h4 (e13)) = (e23)) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e23)) -> (~((h4 (op1 (e10) (e13))) = (op2 (h4 (e10)) (h4 (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (e10))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e13) (e13)) = (e13))) -> False).
% 19.63/19.84 do 0 intro. intros zenon_H141 zenon_H12b zenon_H2e zenon_Hc2 zenon_H12a zenon_H128 zenon_H138 zenon_H13e zenon_H8b zenon_H6e zenon_H71 zenon_H94 zenon_Ha5 zenon_H59 zenon_H13b zenon_H64.
% 19.63/19.84 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H129 | zenon_intro zenon_H142 ].
% 19.63/19.84 apply (zenon_L79_); trivial.
% 19.63/19.84 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H139 | zenon_intro zenon_H143 ].
% 19.63/19.84 apply (zenon_L81_); trivial.
% 19.63/19.84 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H13f | zenon_intro zenon_H69 ].
% 19.63/19.84 apply (zenon_L83_); trivial.
% 19.63/19.84 exact (zenon_H64 zenon_H69).
% 19.63/19.84 (* end of lemma zenon_L84_ *)
% 19.63/19.84 assert (zenon_L85_ : (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e20) (e23)) = (e23)) -> ((op2 (e21) (e23)) = (e23)) -> False).
% 19.63/19.84 do 0 intro. intros zenon_H144 zenon_H12a zenon_H145.
% 19.63/19.84 cut (((op2 (e20) (e23)) = (e23)) = ((op2 (e20) (e23)) = (op2 (e21) (e23)))).
% 19.63/19.84 intro zenon_D_pnotp.
% 19.63/19.84 apply zenon_H144.
% 19.63/19.84 rewrite <- zenon_D_pnotp.
% 19.63/19.84 exact zenon_H12a.
% 19.63/19.84 cut (((e23) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H146].
% 19.63/19.84 cut (((op2 (e20) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_Hd6].
% 19.63/19.84 congruence.
% 19.63/19.84 apply zenon_Hd6. apply refl_equal.
% 19.63/19.84 apply zenon_H146. apply sym_equal. exact zenon_H145.
% 19.63/19.84 (* end of lemma zenon_L85_ *)
% 19.63/19.84 assert (zenon_L86_ : (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (e20))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e21) (e23)) = (e23)) -> False).
% 19.63/19.84 do 0 intro. intros zenon_H147 zenon_H16 zenon_He3 zenon_Hd4 zenon_H2e zenon_H2b zenon_H4c zenon_H144 zenon_H145.
% 19.63/19.84 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H1b | zenon_intro zenon_H148 ].
% 19.63/19.84 exact (zenon_H16 zenon_H1b).
% 19.63/19.84 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_He4 | zenon_intro zenon_H149 ].
% 19.63/19.84 apply (zenon_L57_); trivial.
% 19.63/19.84 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H12a ].
% 19.63/19.84 apply (zenon_L53_); trivial.
% 19.63/19.84 apply (zenon_L85_); trivial.
% 19.63/19.84 (* end of lemma zenon_L86_ *)
% 19.63/19.84 assert (zenon_L87_ : (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e20) (e23)) = (e23)) -> ((op2 (e22) (e23)) = (e23)) -> False).
% 19.63/19.84 do 0 intro. intros zenon_H14a zenon_H12a zenon_H14b.
% 19.63/19.84 cut (((op2 (e20) (e23)) = (e23)) = ((op2 (e20) (e23)) = (op2 (e22) (e23)))).
% 19.63/19.84 intro zenon_D_pnotp.
% 19.63/19.84 apply zenon_H14a.
% 19.63/19.84 rewrite <- zenon_D_pnotp.
% 19.63/19.84 exact zenon_H12a.
% 19.63/19.84 cut (((e23) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H14c].
% 19.63/19.84 cut (((op2 (e20) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_Hd6].
% 19.63/19.84 congruence.
% 19.63/19.84 apply zenon_Hd6. apply refl_equal.
% 19.63/19.84 apply zenon_H14c. apply sym_equal. exact zenon_H14b.
% 19.63/19.84 (* end of lemma zenon_L87_ *)
% 19.63/19.84 assert (zenon_L88_ : (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (e20))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e22) (e23)) = (e23)) -> False).
% 19.63/19.84 do 0 intro. intros zenon_H147 zenon_H16 zenon_He3 zenon_Hd4 zenon_H2e zenon_H2b zenon_H4c zenon_H14a zenon_H14b.
% 19.63/19.84 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H1b | zenon_intro zenon_H148 ].
% 19.63/19.84 exact (zenon_H16 zenon_H1b).
% 19.63/19.84 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_He4 | zenon_intro zenon_H149 ].
% 19.63/19.84 apply (zenon_L57_); trivial.
% 19.63/19.84 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H12a ].
% 19.63/19.84 apply (zenon_L53_); trivial.
% 19.63/19.84 apply (zenon_L87_); trivial.
% 19.63/19.84 (* end of lemma zenon_L88_ *)
% 19.63/19.84 assert (zenon_L89_ : ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e10) (e10)) = (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((e11) = (e12))) -> (~((e10) = (e11))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> ((e11) = (op1 (e13) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e11) (e11)) = (e12)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e11) (e11)) = (e13)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e13) (e13)) = (e13)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e11) (e11)) = (e10)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e11) (e11)) = (e12)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e23)) = (e23))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (e20))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((h4 (op1 (e10) (e13))) = (op2 (h4 (e10)) (h4 (e13))))) -> ((h4 (e13)) = (e23)) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e11) (e11)) = (e13)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e12) (e12)) = (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e12) (e12)) = (e13)))) -> ((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e10) (e10)) = (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e12) (e12)) = (e10)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e11) (e11)) = (e11)))) -> False).
% 19.63/19.84 do 0 intro. intros zenon_Hf9 zenon_Hb7 zenon_Hb6 zenon_H9a zenon_H94 zenon_H8b zenon_H8d zenon_H84 zenon_Ha1 zenon_Ha5 zenon_Hab zenon_Haf zenon_Hb4 zenon_Hb5 zenon_H6b zenon_H60 zenon_H70 zenon_H6e zenon_H71 zenon_H72 zenon_H80 zenon_Hc0 zenon_Hbf zenon_Hbc zenon_Hbb zenon_Hbd zenon_Hbe zenon_Hb8 zenon_H56 zenon_H55 zenon_Hfa zenon_H14d zenon_H21 zenon_H14a zenon_H16 zenon_He3 zenon_H2b zenon_Hd4 zenon_H4c zenon_H144 zenon_H147 zenon_H128 zenon_H12b zenon_H2e zenon_Hc2 zenon_H13b zenon_H138 zenon_H13e zenon_H141 zenon_H14e zenon_Hf5 zenon_Hf6 zenon_Hf4 zenon_He8 zenon_Hf3 zenon_Hf7 zenon_Hf8.
% 19.63/19.84 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H57 | zenon_intro zenon_Haa ].
% 19.63/19.84 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H58 | zenon_intro zenon_H9b ].
% 19.63/19.84 apply (zenon_L45_); trivial.
% 19.63/19.84 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H58 | zenon_intro zenon_H74 ].
% 19.63/19.84 apply (zenon_L48_); trivial.
% 19.63/19.84 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H59 | zenon_intro zenon_H75 ].
% 19.63/19.84 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H73 | zenon_intro zenon_Haa ].
% 19.63/19.84 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H64 | zenon_intro zenon_H75 ].
% 19.63/19.84 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H12a | zenon_intro zenon_H14f ].
% 19.63/19.84 apply (zenon_L84_); trivial.
% 19.63/19.84 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H145 | zenon_intro zenon_H150 ].
% 19.63/19.84 apply (zenon_L86_); trivial.
% 19.63/19.84 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H14b | zenon_intro zenon_H26 ].
% 19.63/19.84 apply (zenon_L88_); trivial.
% 19.63/19.84 exact (zenon_H21 zenon_H26).
% 19.63/19.84 apply (zenon_L23_); trivial.
% 19.63/19.84 apply (zenon_L34_); trivial.
% 19.63/19.84 apply (zenon_L66_); trivial.
% 19.63/19.84 apply (zenon_L65_); trivial.
% 19.63/19.84 (* end of lemma zenon_L89_ *)
% 19.63/19.84 assert (zenon_L90_ : ((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e21) (e21)) = (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((op2 (e21) (e21)) = (e22))) -> (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e10) (e10)) = (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((e11) = (e12))) -> (~((e10) = (e11))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> ((e11) = (op1 (e13) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e11) (e11)) = (e12)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e11) (e11)) = (e13)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e13) (e13)) = (e13)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e11) (e11)) = (e10)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e11) (e11)) = (e12)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (e20))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((h4 (op1 (e10) (e13))) = (op2 (h4 (e10)) (h4 (e13))))) -> ((h4 (e13)) = (e23)) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e11) (e11)) = (e13)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e12) (e12)) = (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e12) (e12)) = (e13)))) -> ((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e10) (e10)) = (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e12) (e12)) = (e10)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10)))) -> False).
% 19.63/19.84 do 0 intro. intros zenon_H151 zenon_H2f zenon_H30 zenon_H31 zenon_H2d zenon_Hf9 zenon_Hb7 zenon_Hb6 zenon_H9a zenon_H94 zenon_H8b zenon_H8d zenon_H84 zenon_Ha1 zenon_Ha5 zenon_Hab zenon_Haf zenon_Hb4 zenon_Hb5 zenon_H6b zenon_H60 zenon_H70 zenon_H6e zenon_H71 zenon_H72 zenon_H80 zenon_Hc0 zenon_Hbf zenon_Hbc zenon_Hbb zenon_Hbd zenon_Hbe zenon_Hb8 zenon_H55 zenon_Hfa zenon_H14d zenon_H14a zenon_H16 zenon_He3 zenon_H2b zenon_Hd4 zenon_H4c zenon_H144 zenon_H147 zenon_H128 zenon_H12b zenon_H2e zenon_Hc2 zenon_H13b zenon_H138 zenon_H13e zenon_H141 zenon_H14e zenon_Hf5 zenon_Hf6 zenon_Hf4 zenon_He8 zenon_Hf3 zenon_Hf7 zenon_Hf8 zenon_H10b.
% 19.63/19.84 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H21 | zenon_intro zenon_H32 ].
% 19.63/19.84 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_H56 | zenon_intro zenon_H56 ].
% 19.63/19.84 apply (zenon_L89_); trivial.
% 19.63/19.84 apply (zenon_L89_); trivial.
% 19.63/19.84 apply (zenon_L6_); trivial.
% 19.63/19.84 (* end of lemma zenon_L90_ *)
% 19.63/19.84 assert (zenon_L91_ : ((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e20) (e20)) = (e23)))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((op2 (e20) (e20)) = (e21))) -> (~((op2 (e20) (e20)) = (e22))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> ((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e12) (e12)) = (e10)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e10) (e10)) = (e12)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e12) (e12)) = (e13)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e12) (e12)) = (e11)))) -> ((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e11) (e11)) = (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e13)) = (e23)) -> (~((h4 (op1 (e10) (e13))) = (op2 (h4 (e10)) (h4 (e13))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e11) (e11)) = (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e11) (e11)) = (e10)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e13) (e13)) = (e13)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e11) (e11)) = (e13)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e11) (e11)) = (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e10) (e10)) = (e12)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11)))) -> (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> (~((op2 (e21) (e21)) = (e22))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e21) (e21)) = (e23)))) -> False).
% 19.63/19.84 do 0 intro. intros zenon_H53 zenon_H13 zenon_H3f zenon_H40 zenon_H3e zenon_H10b zenon_Hf8 zenon_Hf7 zenon_Hf3 zenon_He8 zenon_Hf4 zenon_Hf6 zenon_Hf5 zenon_H14e zenon_H141 zenon_H13e zenon_H138 zenon_H13b zenon_Hc2 zenon_H2e zenon_H12b zenon_H128 zenon_H147 zenon_H144 zenon_H4c zenon_Hd4 zenon_H2b zenon_He3 zenon_H14a zenon_H14d zenon_Hfa zenon_H55 zenon_Hb8 zenon_Hbe zenon_Hbd zenon_Hbb zenon_Hbc zenon_Hbf zenon_Hc0 zenon_H80 zenon_H72 zenon_H71 zenon_H6e zenon_H70 zenon_H60 zenon_H6b zenon_Hb5 zenon_Hb4 zenon_Haf zenon_Hab zenon_Ha5 zenon_Ha1 zenon_H84 zenon_H8d zenon_H8b zenon_H94 zenon_H9a zenon_Hb6 zenon_Hb7 zenon_Hf9 zenon_H2d zenon_H31 zenon_H30 zenon_H2f zenon_H151.
% 19.63/19.84 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H16 | zenon_intro zenon_H41 ].
% 19.63/19.84 apply (zenon_L90_); trivial.
% 19.63/19.84 apply (zenon_L8_); trivial.
% 19.63/19.84 (* end of lemma zenon_L91_ *)
% 19.63/19.84 assert (zenon_L92_ : ((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e21) (e21)) = (e21)))) -> ((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e21) (e21)) = (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (e22))) -> (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e10) (e10)) = (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((e11) = (e12))) -> (~((e10) = (e11))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> ((e11) = (op1 (e13) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e11) (e11)) = (e12)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e11) (e11)) = (e13)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e13) (e13)) = (e13)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e11) (e11)) = (e10)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e11) (e11)) = (e12)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((h4 (op1 (e10) (e13))) = (op2 (h4 (e10)) (h4 (e13))))) -> ((h4 (e13)) = (e23)) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e11) (e11)) = (e13)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e12) (e12)) = (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e12) (e12)) = (e13)))) -> ((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e10) (e10)) = (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e12) (e12)) = (e10)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (e22))) -> (~((op2 (e20) (e20)) = (e21))) -> (~((op2 (e20) (e20)) = (e20))) -> ((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e20) (e20)) = (e23)))) -> False).
% 19.63/19.84 do 0 intro. intros zenon_H4f zenon_H151 zenon_H2f zenon_H31 zenon_H2d zenon_Hf9 zenon_Hb7 zenon_Hb6 zenon_H9a zenon_H94 zenon_H8b zenon_H8d zenon_H84 zenon_Ha1 zenon_Ha5 zenon_Hab zenon_Haf zenon_Hb4 zenon_Hb5 zenon_H6b zenon_H60 zenon_H70 zenon_H6e zenon_H71 zenon_H72 zenon_H80 zenon_Hc0 zenon_Hbf zenon_Hbc zenon_Hbb zenon_Hbd zenon_Hbe zenon_Hb8 zenon_H55 zenon_Hfa zenon_H14d zenon_H14a zenon_He3 zenon_H2b zenon_Hd4 zenon_H4c zenon_H144 zenon_H147 zenon_H128 zenon_H12b zenon_H2e zenon_Hc2 zenon_H13b zenon_H138 zenon_H13e zenon_H141 zenon_H14e zenon_Hf5 zenon_Hf6 zenon_Hf4 zenon_He8 zenon_Hf3 zenon_Hf7 zenon_Hf8 zenon_H10b zenon_H3e zenon_H40 zenon_H3f zenon_H13 zenon_H53.
% 19.63/19.84 apply (zenon_or_s _ _ zenon_H4f); [ zenon_intro zenon_H30 | zenon_intro zenon_H30 ].
% 19.63/19.84 apply (zenon_L91_); trivial.
% 19.63/19.84 apply (zenon_L91_); trivial.
% 19.63/19.84 (* end of lemma zenon_L92_ *)
% 19.63/19.84 assert (zenon_L93_ : ((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e20) (e20)) = (e21)))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((op2 (e20) (e20)) = (e22))) -> (~((op2 (e20) (e20)) = (e23))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> ((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e12) (e12)) = (e10)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e10) (e10)) = (e12)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e12) (e12)) = (e13)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e12) (e12)) = (e11)))) -> ((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e11) (e11)) = (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e13)) = (e23)) -> (~((h4 (op1 (e10) (e13))) = (op2 (h4 (e10)) (h4 (e13))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (e20))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e11) (e11)) = (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e11) (e11)) = (e10)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e13) (e13)) = (e13)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e11) (e11)) = (e13)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e11) (e11)) = (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e10) (e10)) = (e12)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11)))) -> (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> (~((op2 (e21) (e21)) = (e22))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e21) (e21)) = (e23)))) -> False).
% 19.63/19.85 do 0 intro. intros zenon_H54 zenon_H13 zenon_H40 zenon_H41 zenon_H3e zenon_H10b zenon_Hf8 zenon_Hf7 zenon_Hf3 zenon_He8 zenon_Hf4 zenon_Hf6 zenon_Hf5 zenon_H14e zenon_H141 zenon_H13e zenon_H138 zenon_H13b zenon_Hc2 zenon_H2e zenon_H12b zenon_H128 zenon_H147 zenon_H144 zenon_H4c zenon_Hd4 zenon_H2b zenon_He3 zenon_H16 zenon_H14a zenon_H14d zenon_Hfa zenon_H55 zenon_Hb8 zenon_Hbe zenon_Hbd zenon_Hbb zenon_Hbc zenon_Hbf zenon_Hc0 zenon_H80 zenon_H72 zenon_H71 zenon_H6e zenon_H70 zenon_H60 zenon_H6b zenon_Hb5 zenon_Hb4 zenon_Haf zenon_Hab zenon_Ha5 zenon_Ha1 zenon_H84 zenon_H8d zenon_H8b zenon_H94 zenon_H9a zenon_Hb6 zenon_Hb7 zenon_Hf9 zenon_H2d zenon_H31 zenon_H2f zenon_H151.
% 19.63/19.85 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H30 | zenon_intro zenon_H3f ].
% 19.63/19.85 apply (zenon_L90_); trivial.
% 19.63/19.85 apply (zenon_L8_); trivial.
% 19.63/19.85 (* end of lemma zenon_L93_ *)
% 19.63/19.85 assert (zenon_L94_ : ((~((op2 (e20) (e21)) = (e20)))\/(~((op2 (e20) (e20)) = (e21)))) -> ((~((op2 (e20) (e21)) = (e20)))\/(~((op2 (e23) (e23)) = (e21)))) -> ((~((op2 (e20) (e21)) = (e20)))\/(~((op2 (e21) (e21)) = (e21)))) -> ((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e20) (e20)) = (e21)))) -> ((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e20) (e20)) = (e23)))) -> ((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e21) (e21)) = (e23)))) -> ((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e20) (e20)) = (e21)))) -> ((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e20) (e20)) = (e22)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e23) (e23)) = (e21)))) -> ((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> ((e21) = (op2 (e23) (e23))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e21) (e21)) = (e22)))) -> ((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e21) (e21)) = (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> ((~((op2 (e23) (e20)) = (e23)))\/(~((op2 (e21) (e21)) = (e20)))) -> (~((op2 (e20) (e20)) = (e20))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> ((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e21) (e21)) = (e22)))) -> ((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e12) (e12)) = (e10)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e10) (e10)) = (e12)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e12) (e12)) = (e13)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e12) (e12)) = (e11)))) -> ((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e11) (e11)) = (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e13)) = (e23)) -> (~((h4 (op1 (e10) (e13))) = (op2 (h4 (e10)) (h4 (e13))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e11) (e11)) = (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e11) (e11)) = (e10)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e13) (e13)) = (e13)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e11) (e11)) = (e13)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e11) (e11)) = (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e10) (e10)) = (e12)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e21) (e21)) = (e23)))) -> ((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e20) (e20)) = (e22)))) -> False).
% 19.63/19.85 do 0 intro. intros zenon_H10c zenon_H10d zenon_H127 zenon_H54 zenon_H53 zenon_H52 zenon_H51 zenon_H48 zenon_H3e zenon_H47 zenon_H28 zenon_H1d zenon_H2d zenon_H2b zenon_H2e zenon_H2f zenon_H3d zenon_H4f zenon_H4b zenon_H4c zenon_H50 zenon_H13 zenon_H12 zenon_H152 zenon_H10b zenon_Hf8 zenon_Hf7 zenon_Hf3 zenon_He8 zenon_Hf4 zenon_Hf6 zenon_Hf5 zenon_H14e zenon_H141 zenon_H13e zenon_H138 zenon_H13b zenon_Hc2 zenon_H12b zenon_H128 zenon_H147 zenon_H144 zenon_Hd4 zenon_He3 zenon_H14a zenon_H14d zenon_Hfa zenon_H55 zenon_Hb8 zenon_Hbe zenon_Hbd zenon_Hbb zenon_Hbc zenon_Hbf zenon_Hc0 zenon_H80 zenon_H72 zenon_H71 zenon_H6e zenon_H70 zenon_H60 zenon_H6b zenon_Hb5 zenon_Hb4 zenon_Haf zenon_Hab zenon_Ha5 zenon_Ha1 zenon_H84 zenon_H8d zenon_H8b zenon_H94 zenon_H9a zenon_Hb6 zenon_Hb7 zenon_Hf9 zenon_H151 zenon_H10e.
% 19.63/19.85 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_H14 | zenon_intro zenon_H3f ].
% 19.63/19.85 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H15 | zenon_intro zenon_H40 ].
% 19.63/19.85 apply (zenon_L17_); trivial.
% 19.63/19.85 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 19.63/19.85 apply (zenon_L78_); trivial.
% 19.63/19.85 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H16 | zenon_intro zenon_H41 ].
% 19.63/19.85 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H30 | zenon_intro zenon_H3f ].
% 19.63/19.85 apply (zenon_L90_); trivial.
% 19.63/19.85 apply (zenon_L92_); trivial.
% 19.63/19.85 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H16 | zenon_intro zenon_H32 ].
% 19.63/19.85 apply (zenon_L93_); trivial.
% 19.63/19.85 apply (zenon_L69_); trivial.
% 19.63/19.85 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H14 | zenon_intro zenon_H30 ].
% 19.63/19.85 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H15 | zenon_intro zenon_H40 ].
% 19.63/19.85 apply (zenon_L16_); trivial.
% 19.63/19.85 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 19.63/19.85 apply (zenon_L78_); trivial.
% 19.63/19.85 apply (zenon_L92_); trivial.
% 19.63/19.85 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H14 | zenon_intro zenon_H2c ].
% 19.63/19.85 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H15 | zenon_intro zenon_H40 ].
% 19.63/19.85 apply (zenon_L17_); trivial.
% 19.63/19.85 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 19.63/19.85 apply (zenon_L78_); trivial.
% 19.63/19.85 apply (zenon_L91_); trivial.
% 19.63/19.85 apply zenon_H2c. apply sym_equal. exact zenon_H2b.
% 19.63/19.85 (* end of lemma zenon_L94_ *)
% 19.63/19.85 assert (zenon_L95_ : (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> (~((op2 (e21) (e21)) = (e22))) -> ((e21) = (op2 (e23) (e23))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e21) (e21)) = (e21)))) -> ((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e21) (e21)) = (e23)))) -> ((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e23) (e23)) = (e21)))) -> ((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> ((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e20) (e20)) = (e22)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((~((op2 (e23) (e20)) = (e23)))\/(~((op2 (e21) (e21)) = (e20)))) -> ((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e20) (e20)) = (e23)))) -> ((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e20) (e20)) = (e21)))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((op2 (e20) (e21)) = (e20))) -> (~((op2 (e20) (e22)) = (e20))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> False).
% 19.63/19.85 do 0 intro. intros zenon_H2d zenon_H31 zenon_H2b zenon_H2e zenon_H2f zenon_H4f zenon_H52 zenon_H47 zenon_H28 zenon_H1d zenon_H3e zenon_H48 zenon_H4c zenon_H4b zenon_H50 zenon_H53 zenon_H54 zenon_H13 zenon_H14 zenon_H15 zenon_H12.
% 19.63/19.85 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H16 | zenon_intro zenon_H32 ].
% 19.63/19.85 apply (zenon_L1_); trivial.
% 19.63/19.85 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H30 | zenon_intro zenon_H3f ].
% 19.63/19.85 apply (zenon_L6_); trivial.
% 19.63/19.85 apply (zenon_L16_); trivial.
% 19.63/19.85 (* end of lemma zenon_L95_ *)
% 19.63/19.85 assert (zenon_L96_ : (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (e12))) -> ((e11) = (op1 (e13) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e12) (e12)) = (e10)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))) -> ((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e10) (e10)) = (e12)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e12) (e12)) = (e13)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e12) (e12)) = (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e11) (e11)) = (e13)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e13) (e13)) = (e13)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e10) (e10)) = (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e11) (e11)) = (e10)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e10) (e10)) = (e11)))) -> (~((op1 (e10) (e10)) = (e10))) -> (~((op1 (e10) (e11)) = (e10))) -> (~((op1 (e10) (e12)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> False).
% 19.63/19.85 do 0 intro. intros zenon_H70 zenon_H74 zenon_H6e zenon_H71 zenon_H72 zenon_Hf8 zenon_Hf7 zenon_Hf3 zenon_He8 zenon_H6b zenon_Hf4 zenon_Hf6 zenon_Hf5 zenon_Hbf zenon_Hbc zenon_Hb5 zenon_H60 zenon_Hb4 zenon_Haf zenon_Hab zenon_Ha5 zenon_Ha1 zenon_H84 zenon_H8d zenon_H8b zenon_H94 zenon_H9a zenon_Hb6 zenon_Hb8 zenon_Hbb zenon_Hbd zenon_Hbe zenon_Hc0 zenon_H56 zenon_H57 zenon_H58 zenon_H55.
% 19.63/19.85 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H59 | zenon_intro zenon_H75 ].
% 19.63/19.85 apply (zenon_L18_); trivial.
% 19.63/19.85 apply (zenon_L66_); trivial.
% 19.63/19.85 (* end of lemma zenon_L96_ *)
% 19.63/19.85 assert (zenon_L97_ : (~((h4 (e11)) = (e21))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((e21) = (op2 (e23) (e23))) -> False).
% 19.63/19.85 do 0 intro. intros zenon_H153 zenon_Hfc zenon_H2b.
% 19.63/19.85 cut (((h4 (e11)) = (op2 (e23) (e23))) = ((h4 (e11)) = (e21))).
% 19.63/19.85 intro zenon_D_pnotp.
% 19.63/19.85 apply zenon_H153.
% 19.63/19.85 rewrite <- zenon_D_pnotp.
% 19.63/19.85 exact zenon_Hfc.
% 19.63/19.85 cut (((op2 (e23) (e23)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H2c].
% 19.63/19.85 cut (((h4 (e11)) = (h4 (e11)))); [idtac | apply NNPP; zenon_intro zenon_H154].
% 19.63/19.85 congruence.
% 19.63/19.85 apply zenon_H154. apply refl_equal.
% 19.63/19.85 apply zenon_H2c. apply sym_equal. exact zenon_H2b.
% 19.63/19.85 (* end of lemma zenon_L97_ *)
% 19.63/19.85 assert (zenon_L98_ : (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((e10) = (e12))) -> ((op1 (e12) (e10)) = (e10)) -> (~((op1 (e12) (e11)) = (e12))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e13)) = (e12))) -> False).
% 19.63/19.85 do 0 intro. intros zenon_H155 zenon_H156 zenon_H157 zenon_H158 zenon_Heb zenon_H159.
% 19.63/19.85 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H15b | zenon_intro zenon_H15a ].
% 19.63/19.85 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H85 | zenon_intro zenon_H86 ].
% 19.63/19.85 cut (((e12) = (e12)) = ((e10) = (e12))).
% 19.63/19.85 intro zenon_D_pnotp.
% 19.63/19.85 apply zenon_H156.
% 19.63/19.85 rewrite <- zenon_D_pnotp.
% 19.63/19.85 exact zenon_H85.
% 19.63/19.85 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H86].
% 19.63/19.85 cut (((e12) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H15c].
% 19.63/19.85 congruence.
% 19.63/19.85 cut (((op1 (e12) (e10)) = (e10)) = ((e12) = (e10))).
% 19.63/19.85 intro zenon_D_pnotp.
% 19.63/19.85 apply zenon_H15c.
% 19.63/19.85 rewrite <- zenon_D_pnotp.
% 19.63/19.85 exact zenon_H157.
% 19.63/19.85 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H9f].
% 19.63/19.85 cut (((op1 (e12) (e10)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H15d].
% 19.63/19.85 congruence.
% 19.63/19.85 exact (zenon_H15d zenon_H15b).
% 19.63/19.85 apply zenon_H9f. apply refl_equal.
% 19.63/19.85 apply zenon_H86. apply refl_equal.
% 19.63/19.85 apply zenon_H86. apply refl_equal.
% 19.63/19.85 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H15f | zenon_intro zenon_H15e ].
% 19.63/19.85 exact (zenon_H158 zenon_H15f).
% 19.63/19.85 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hf2 | zenon_intro zenon_H160 ].
% 19.63/19.85 exact (zenon_Heb zenon_Hf2).
% 19.63/19.85 exact (zenon_H159 zenon_H160).
% 19.63/19.85 (* end of lemma zenon_L98_ *)
% 19.63/19.85 assert (zenon_L99_ : (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((op1 (e13) (e10)) = (e10)) -> ((e11) = (op1 (e13) (e13))) -> False).
% 19.63/19.85 do 0 intro. intros zenon_H161 zenon_H71 zenon_H162 zenon_H6e.
% 19.63/19.85 cut (((e10) = (op1 (e13) (op1 (e13) (e13)))) = ((op1 (e13) (e10)) = (op1 (e13) (e11)))).
% 19.63/19.85 intro zenon_D_pnotp.
% 19.63/19.85 apply zenon_H161.
% 19.63/19.85 rewrite <- zenon_D_pnotp.
% 19.63/19.85 exact zenon_H71.
% 19.63/19.85 cut (((op1 (e13) (op1 (e13) (e13))) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H6d].
% 19.63/19.85 cut (((e10) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H163].
% 19.63/19.85 congruence.
% 19.63/19.85 elim (classic ((op1 (e13) (e10)) = (op1 (e13) (e10)))); [ zenon_intro zenon_H164 | zenon_intro zenon_H165 ].
% 19.63/19.85 cut (((op1 (e13) (e10)) = (op1 (e13) (e10))) = ((e10) = (op1 (e13) (e10)))).
% 19.63/19.85 intro zenon_D_pnotp.
% 19.63/19.85 apply zenon_H163.
% 19.63/19.85 rewrite <- zenon_D_pnotp.
% 19.63/19.85 exact zenon_H164.
% 19.63/19.85 cut (((op1 (e13) (e10)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H165].
% 19.63/19.85 cut (((op1 (e13) (e10)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H166].
% 19.63/19.85 congruence.
% 19.63/19.85 exact (zenon_H166 zenon_H162).
% 19.63/19.85 apply zenon_H165. apply refl_equal.
% 19.63/19.85 apply zenon_H165. apply refl_equal.
% 19.63/19.85 apply (zenon_L22_); trivial.
% 19.63/19.85 (* end of lemma zenon_L99_ *)
% 19.63/19.85 assert (zenon_L100_ : (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((e20) = (e22))) -> ((op2 (e22) (e20)) = (e20)) -> (~((op2 (e22) (e21)) = (e22))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e23)) = (e22))) -> False).
% 19.63/19.85 do 0 intro. intros zenon_H167 zenon_H168 zenon_H169 zenon_H16a zenon_H16b zenon_H16c.
% 19.63/19.85 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H16e | zenon_intro zenon_H16d ].
% 19.63/19.85 elim (classic ((e22) = (e22))); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hc9 ].
% 19.63/19.85 cut (((e22) = (e22)) = ((e20) = (e22))).
% 19.63/19.85 intro zenon_D_pnotp.
% 19.63/19.85 apply zenon_H168.
% 19.63/19.85 rewrite <- zenon_D_pnotp.
% 19.63/19.85 exact zenon_Hc8.
% 19.63/19.85 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_Hc9].
% 19.63/19.85 cut (((e22) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H16f].
% 19.63/19.85 congruence.
% 19.63/19.85 cut (((op2 (e22) (e20)) = (e20)) = ((e22) = (e20))).
% 19.63/19.85 intro zenon_D_pnotp.
% 19.63/19.85 apply zenon_H16f.
% 19.63/19.85 rewrite <- zenon_D_pnotp.
% 19.63/19.85 exact zenon_H169.
% 19.63/19.85 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_Hdd].
% 19.63/19.85 cut (((op2 (e22) (e20)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H170].
% 19.63/19.85 congruence.
% 19.63/19.85 exact (zenon_H170 zenon_H16e).
% 19.63/19.85 apply zenon_Hdd. apply refl_equal.
% 19.63/19.85 apply zenon_Hc9. apply refl_equal.
% 19.63/19.85 apply zenon_Hc9. apply refl_equal.
% 19.63/19.85 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H172 | zenon_intro zenon_H171 ].
% 19.63/19.85 exact (zenon_H16a zenon_H172).
% 19.63/19.85 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H174 | zenon_intro zenon_H173 ].
% 19.63/19.85 exact (zenon_H16b zenon_H174).
% 19.63/19.85 exact (zenon_H16c zenon_H173).
% 19.63/19.85 (* end of lemma zenon_L100_ *)
% 19.63/19.85 assert (zenon_L101_ : (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e23) (e20)) = (e20)) -> ((e21) = (op2 (e23) (e23))) -> False).
% 19.63/19.85 do 0 intro. intros zenon_H175 zenon_H2e zenon_H176 zenon_H2b.
% 19.63/19.85 cut (((e20) = (op2 (e23) (op2 (e23) (e23)))) = ((op2 (e23) (e20)) = (op2 (e23) (e21)))).
% 19.63/19.85 intro zenon_D_pnotp.
% 19.63/19.85 apply zenon_H175.
% 19.63/19.85 rewrite <- zenon_D_pnotp.
% 19.63/19.85 exact zenon_H2e.
% 19.63/19.85 cut (((op2 (e23) (op2 (e23) (e23))) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H2a].
% 19.63/19.85 cut (((e20) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H177].
% 19.63/19.85 congruence.
% 19.63/19.85 elim (classic ((op2 (e23) (e20)) = (op2 (e23) (e20)))); [ zenon_intro zenon_H178 | zenon_intro zenon_H179 ].
% 19.63/19.85 cut (((op2 (e23) (e20)) = (op2 (e23) (e20))) = ((e20) = (op2 (e23) (e20)))).
% 19.63/19.85 intro zenon_D_pnotp.
% 19.63/19.85 apply zenon_H177.
% 19.63/19.85 rewrite <- zenon_D_pnotp.
% 19.63/19.85 exact zenon_H178.
% 19.63/19.85 cut (((op2 (e23) (e20)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H179].
% 19.63/19.85 cut (((op2 (e23) (e20)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H17a].
% 19.63/19.85 congruence.
% 19.63/19.85 exact (zenon_H17a zenon_H176).
% 19.63/19.85 apply zenon_H179. apply refl_equal.
% 19.63/19.85 apply zenon_H179. apply refl_equal.
% 19.63/19.85 apply (zenon_L5_); trivial.
% 19.63/19.85 (* end of lemma zenon_L101_ *)
% 19.63/19.85 assert (zenon_L102_ : ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e10) (e10)) = (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((e11) = (e12))) -> (~((e10) = (e11))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> ((e11) = (op1 (e13) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e11) (e11)) = (e12)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e11) (e11)) = (e13)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e13) (e13)) = (e13)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e11) (e11)) = (e10)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e11) (e11)) = (e12)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e12) (e12)) = (e10)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e10) (e10)) = (e12)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e12) (e12)) = (e13)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e12) (e12)) = (e11)))) -> ((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e10) (e10)) = (e11)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((e20) = (e22))) -> (~((op2 (e22) (e21)) = (e22))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e23)) = (e22))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((h4 (op1 (e11) (e10))) = (op2 (h4 (e11)) (h4 (e10))))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op2 (e20) (e20)) = (e20))) -> ((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e11) (e11)) = (e13)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e12) (e12)) = (e12)))) -> False).
% 19.63/19.85 do 0 intro. intros zenon_Hf9 zenon_Hb7 zenon_Hb6 zenon_H9a zenon_H94 zenon_H8b zenon_H8d zenon_H84 zenon_Ha1 zenon_Ha5 zenon_Hab zenon_Haf zenon_Hb4 zenon_Hb5 zenon_H6b zenon_H60 zenon_H70 zenon_H6e zenon_H71 zenon_H72 zenon_H80 zenon_Hc0 zenon_Hbf zenon_Hbc zenon_Hbb zenon_Hbd zenon_Hbe zenon_Hb8 zenon_H56 zenon_H55 zenon_Hfa zenon_Hf8 zenon_Hf7 zenon_Hf3 zenon_He8 zenon_Hf4 zenon_Hf6 zenon_Hf5 zenon_H17b zenon_H17c zenon_H175 zenon_H168 zenon_H16a zenon_H16b zenon_H16c zenon_H167 zenon_H17d zenon_H2e zenon_Hc2 zenon_H2b zenon_Hfc zenon_H155 zenon_H156 zenon_H161 zenon_H17e zenon_H13 zenon_H17f zenon_H180.
% 19.63/19.85 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H57 | zenon_intro zenon_Haa ].
% 19.63/19.85 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H58 | zenon_intro zenon_H9b ].
% 19.63/19.85 apply (zenon_L45_); trivial.
% 19.63/19.85 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H58 | zenon_intro zenon_H74 ].
% 19.63/19.85 apply (zenon_L48_); trivial.
% 19.63/19.85 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H58 | zenon_intro zenon_Heb ].
% 19.63/19.85 apply (zenon_L96_); trivial.
% 19.63/19.85 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H158 | zenon_intro zenon_Haa ].
% 19.63/19.85 apply (zenon_or_s _ _ zenon_H17f); [ zenon_intro zenon_H159 | zenon_intro zenon_H75 ].
% 19.63/19.85 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H18 | zenon_intro zenon_H181 ].
% 19.63/19.85 exact (zenon_H13 zenon_H18).
% 19.63/19.85 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H183 | zenon_intro zenon_H182 ].
% 19.63/19.85 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H5b | zenon_intro zenon_H184 ].
% 19.63/19.85 exact (zenon_H56 zenon_H5b).
% 19.63/19.85 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H186 | zenon_intro zenon_H185 ].
% 19.63/19.85 cut (((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) = ((h4 (op1 (e11) (e10))) = (op2 (h4 (e11)) (h4 (e10))))).
% 19.63/19.85 intro zenon_D_pnotp.
% 19.63/19.85 apply zenon_H17d.
% 19.63/19.85 rewrite <- zenon_D_pnotp.
% 19.63/19.85 exact zenon_Hc2.
% 19.63/19.85 cut (((op2 (e23) (op2 (e23) (e23))) = (op2 (h4 (e11)) (h4 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H187].
% 19.63/19.85 cut (((h4 (e10)) = (h4 (op1 (e11) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H188].
% 19.63/19.85 congruence.
% 19.63/19.85 elim (classic ((h4 (op1 (e11) (e10))) = (h4 (op1 (e11) (e10))))); [ zenon_intro zenon_H189 | zenon_intro zenon_H18a ].
% 19.63/19.85 cut (((h4 (op1 (e11) (e10))) = (h4 (op1 (e11) (e10)))) = ((h4 (e10)) = (h4 (op1 (e11) (e10))))).
% 19.63/19.85 intro zenon_D_pnotp.
% 19.63/19.85 apply zenon_H188.
% 19.63/19.85 rewrite <- zenon_D_pnotp.
% 19.63/19.85 exact zenon_H189.
% 19.63/19.85 cut (((h4 (op1 (e11) (e10))) = (h4 (op1 (e11) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H18a].
% 19.63/19.85 cut (((h4 (op1 (e11) (e10))) = (h4 (e10)))); [idtac | apply NNPP; zenon_intro zenon_H18b].
% 19.63/19.85 congruence.
% 19.63/19.85 cut (((op1 (e11) (e10)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H18c].
% 19.63/19.85 congruence.
% 19.63/19.85 exact (zenon_H18c zenon_H186).
% 19.63/19.85 apply zenon_H18a. apply refl_equal.
% 19.63/19.85 apply zenon_H18a. apply refl_equal.
% 19.63/19.85 elim (classic ((op2 (h4 (e11)) (h4 (e10))) = (op2 (h4 (e11)) (h4 (e10))))); [ zenon_intro zenon_H18d | zenon_intro zenon_H18e ].
% 19.63/19.85 cut (((op2 (h4 (e11)) (h4 (e10))) = (op2 (h4 (e11)) (h4 (e10)))) = ((op2 (e23) (op2 (e23) (e23))) = (op2 (h4 (e11)) (h4 (e10))))).
% 19.63/19.85 intro zenon_D_pnotp.
% 19.63/19.85 apply zenon_H187.
% 19.63/19.85 rewrite <- zenon_D_pnotp.
% 19.63/19.85 exact zenon_H18d.
% 19.63/19.85 cut (((op2 (h4 (e11)) (h4 (e10))) = (op2 (h4 (e11)) (h4 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H18e].
% 19.63/19.85 cut (((op2 (h4 (e11)) (h4 (e10))) = (op2 (e23) (op2 (e23) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H18f].
% 19.63/19.85 congruence.
% 19.63/19.85 cut (((op2 (e21) (e20)) = (e20)) = ((op2 (h4 (e11)) (h4 (e10))) = (op2 (e23) (op2 (e23) (e23))))).
% 19.63/19.85 intro zenon_D_pnotp.
% 19.63/19.85 apply zenon_H18f.
% 19.63/19.85 rewrite <- zenon_D_pnotp.
% 19.63/19.85 exact zenon_H183.
% 19.63/19.85 cut (((e20) = (op2 (e23) (op2 (e23) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H124].
% 19.63/19.85 cut (((op2 (e21) (e20)) = (op2 (h4 (e11)) (h4 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H190].
% 19.63/19.85 congruence.
% 19.63/19.85 elim (classic ((op2 (h4 (e11)) (h4 (e10))) = (op2 (h4 (e11)) (h4 (e10))))); [ zenon_intro zenon_H18d | zenon_intro zenon_H18e ].
% 19.63/19.85 cut (((op2 (h4 (e11)) (h4 (e10))) = (op2 (h4 (e11)) (h4 (e10)))) = ((op2 (e21) (e20)) = (op2 (h4 (e11)) (h4 (e10))))).
% 19.63/19.85 intro zenon_D_pnotp.
% 19.63/19.85 apply zenon_H190.
% 19.63/19.85 rewrite <- zenon_D_pnotp.
% 19.63/19.85 exact zenon_H18d.
% 19.63/19.85 cut (((op2 (h4 (e11)) (h4 (e10))) = (op2 (h4 (e11)) (h4 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H18e].
% 19.63/19.85 cut (((op2 (h4 (e11)) (h4 (e10))) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H191].
% 19.63/19.85 congruence.
% 19.63/19.85 cut (((h4 (e10)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_Hc1].
% 19.63/19.85 cut (((h4 (e11)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H153].
% 19.63/19.85 congruence.
% 19.63/19.85 apply (zenon_L97_); trivial.
% 19.63/19.85 apply (zenon_L49_); trivial.
% 19.63/19.85 apply zenon_H18e. apply refl_equal.
% 19.63/19.85 apply zenon_H18e. apply refl_equal.
% 19.63/19.85 exact (zenon_H124 zenon_H2e).
% 19.63/19.85 apply zenon_H18e. apply refl_equal.
% 19.63/19.85 apply zenon_H18e. apply refl_equal.
% 19.63/19.85 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H157 | zenon_intro zenon_H162 ].
% 19.63/19.85 apply (zenon_L98_); trivial.
% 19.63/19.85 apply (zenon_L99_); trivial.
% 19.63/19.85 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H169 | zenon_intro zenon_H176 ].
% 19.63/19.85 apply (zenon_L100_); trivial.
% 19.63/19.85 apply (zenon_L101_); trivial.
% 19.63/19.85 apply (zenon_L66_); trivial.
% 19.63/19.85 apply (zenon_L65_); trivial.
% 19.63/19.85 apply (zenon_L65_); trivial.
% 19.63/19.85 (* end of lemma zenon_L102_ *)
% 19.63/19.85 assert (zenon_L103_ : ((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e12) (e12)) = (e12)))) -> ((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e11) (e11)) = (e13)))) -> (~((op2 (e20) (e20)) = (e20))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e12))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((e21) = (op2 (e23) (e23))) -> ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> (~((h4 (op1 (e11) (e10))) = (op2 (h4 (e11)) (h4 (e10))))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e22) (e23)) = (e22))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e21)) = (e22))) -> (~((e20) = (e22))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> ((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e12) (e12)) = (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e12) (e12)) = (e13)))) -> ((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e10) (e10)) = (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e12) (e12)) = (e10)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e11) (e11)) = (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e11) (e11)) = (e10)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e13) (e13)) = (e13)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e11) (e11)) = (e13)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e11) (e11)) = (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e10) (e10)) = (e12)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11)))) -> False).
% 19.63/19.85 do 0 intro. intros zenon_H10b zenon_H180 zenon_H17f zenon_H13 zenon_H17e zenon_H161 zenon_H156 zenon_H155 zenon_Hfc zenon_H2b zenon_Hc2 zenon_H2e zenon_H17d zenon_H167 zenon_H16c zenon_H16b zenon_H16a zenon_H168 zenon_H175 zenon_H17c zenon_H17b zenon_Hf5 zenon_Hf6 zenon_Hf4 zenon_He8 zenon_Hf3 zenon_Hf7 zenon_Hf8 zenon_Hfa zenon_H55 zenon_Hb8 zenon_Hbe zenon_Hbd zenon_Hbb zenon_Hbc zenon_Hbf zenon_Hc0 zenon_H80 zenon_H72 zenon_H71 zenon_H6e zenon_H70 zenon_H60 zenon_H6b zenon_Hb5 zenon_Hb4 zenon_Haf zenon_Hab zenon_Ha5 zenon_Ha1 zenon_H84 zenon_H8d zenon_H8b zenon_H94 zenon_H9a zenon_Hb6 zenon_Hb7 zenon_Hf9.
% 19.63/19.85 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_H56 | zenon_intro zenon_H56 ].
% 19.63/19.85 apply (zenon_L102_); trivial.
% 19.63/19.85 apply (zenon_L102_); trivial.
% 19.63/19.85 (* end of lemma zenon_L103_ *)
% 19.63/19.85 assert (zenon_L104_ : ((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e21) (e21)) = (e23)))) -> ((~((op2 (e23) (e20)) = (e23)))\/(~((op2 (e21) (e21)) = (e20)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e21) (e21)) = (e21)))) -> ((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e21) (e21)) = (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23)))) -> ((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e23) (e23)) = (e21)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (e23))) -> ((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e20) (e20)) = (e22)))) -> ((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e20) (e20)) = (e21)))) -> (~((op2 (e20) (e20)) = (e22))) -> ((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e20) (e20)) = (e21)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e10) (e10)) = (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((e11) = (e12))) -> (~((e10) = (e11))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> ((e11) = (op1 (e13) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e11) (e11)) = (e12)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e11) (e11)) = (e13)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e13) (e13)) = (e13)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e11) (e11)) = (e10)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e11) (e11)) = (e12)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e12) (e12)) = (e10)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e10) (e10)) = (e12)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e12) (e12)) = (e13)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e12) (e12)) = (e11)))) -> ((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e10) (e10)) = (e11)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((e20) = (e22))) -> (~((op2 (e22) (e21)) = (e22))) -> (~((op2 (e22) (e22)) = (e22))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((h4 (op1 (e11) (e10))) = (op2 (h4 (e11)) (h4 (e10))))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op2 (e20) (e20)) = (e20))) -> ((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e11) (e11)) = (e13)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e12) (e12)) = (e12)))) -> ((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10)))) -> False).
% 19.63/19.85 do 0 intro. intros zenon_H192 zenon_H50 zenon_H4c zenon_H4b zenon_H4f zenon_H3d zenon_H2f zenon_H2d zenon_H1d zenon_H28 zenon_H47 zenon_H3e zenon_H41 zenon_H48 zenon_H51 zenon_H40 zenon_H54 zenon_Hf9 zenon_Hb7 zenon_Hb6 zenon_H9a zenon_H94 zenon_H8b zenon_H8d zenon_H84 zenon_Ha1 zenon_Ha5 zenon_Hab zenon_Haf zenon_Hb4 zenon_Hb5 zenon_H6b zenon_H60 zenon_H70 zenon_H6e zenon_H71 zenon_H72 zenon_H80 zenon_Hc0 zenon_Hbf zenon_Hbc zenon_Hbb zenon_Hbd zenon_Hbe zenon_Hb8 zenon_H55 zenon_Hfa zenon_Hf8 zenon_Hf7 zenon_Hf3 zenon_He8 zenon_Hf4 zenon_Hf6 zenon_Hf5 zenon_H17b zenon_H17c zenon_H175 zenon_H168 zenon_H16a zenon_H16b zenon_H167 zenon_H17d zenon_H2e zenon_Hc2 zenon_H2b zenon_Hfc zenon_H155 zenon_H156 zenon_H161 zenon_H17e zenon_H13 zenon_H17f zenon_H180 zenon_H10b.
% 19.63/19.85 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H16c | zenon_intro zenon_H32 ].
% 19.63/19.85 apply (zenon_L103_); trivial.
% 19.63/19.85 apply (zenon_L69_); trivial.
% 19.63/19.85 (* end of lemma zenon_L104_ *)
% 19.63/19.85 assert (zenon_L105_ : ((~((op2 (e22) (e21)) = (e22)))\/(~((op2 (e23) (e23)) = (e21)))) -> ((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e12) (e12)) = (e12)))) -> ((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e11) (e11)) = (e13)))) -> (~((op2 (e20) (e20)) = (e20))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e12))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((e21) = (op2 (e23) (e23))) -> ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> (~((h4 (op1 (e11) (e10))) = (op2 (h4 (e11)) (h4 (e10))))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((e20) = (e22))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> ((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e12) (e12)) = (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e12) (e12)) = (e13)))) -> ((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e10) (e10)) = (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e12) (e12)) = (e10)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e11) (e11)) = (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e11) (e11)) = (e10)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e13) (e13)) = (e13)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e11) (e11)) = (e13)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e11) (e11)) = (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e10) (e10)) = (e12)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (e22))) -> (~((op2 (e20) (e20)) = (e21))) -> ((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e20) (e20)) = (e23)))) -> False).
% 19.63/19.85 do 0 intro. intros zenon_H193 zenon_H10b zenon_H180 zenon_H17f zenon_H13 zenon_H17e zenon_H161 zenon_H156 zenon_H155 zenon_Hfc zenon_H2b zenon_Hc2 zenon_H2e zenon_H17d zenon_H167 zenon_H16b zenon_H168 zenon_H175 zenon_H17c zenon_H17b zenon_Hf5 zenon_Hf6 zenon_Hf4 zenon_He8 zenon_Hf3 zenon_Hf7 zenon_Hf8 zenon_Hfa zenon_H55 zenon_Hb8 zenon_Hbe zenon_Hbd zenon_Hbb zenon_Hbc zenon_Hbf zenon_Hc0 zenon_H80 zenon_H72 zenon_H71 zenon_H6e zenon_H70 zenon_H60 zenon_H6b zenon_Hb5 zenon_Hb4 zenon_Haf zenon_Hab zenon_Ha5 zenon_Ha1 zenon_H84 zenon_H8d zenon_H8b zenon_H94 zenon_H9a zenon_Hb6 zenon_Hb7 zenon_Hf9 zenon_H3e zenon_H40 zenon_H3f zenon_H194.
% 19.63/19.85 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H16a | zenon_intro zenon_H2c ].
% 19.63/19.85 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H16c | zenon_intro zenon_H41 ].
% 19.63/19.85 apply (zenon_L103_); trivial.
% 19.63/19.85 apply (zenon_L8_); trivial.
% 19.63/19.85 apply zenon_H2c. apply sym_equal. exact zenon_H2b.
% 19.63/19.85 (* end of lemma zenon_L105_ *)
% 19.63/19.85 assert (zenon_L106_ : ((~((op2 (e20) (e21)) = (e20)))\/(~((op2 (e23) (e23)) = (e21)))) -> ((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e20) (e20)) = (e21)))) -> ((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e20) (e20)) = (e23)))) -> ((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e21) (e21)) = (e23)))) -> ((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e20) (e20)) = (e21)))) -> ((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e20) (e20)) = (e22)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e23) (e23)) = (e21)))) -> ((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> ((e21) = (op2 (e23) (e23))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e21) (e21)) = (e22)))) -> ((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e21) (e21)) = (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> ((~((op2 (e23) (e20)) = (e23)))\/(~((op2 (e21) (e21)) = (e20)))) -> (~((op2 (e20) (e20)) = (e20))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> ((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e21) (e21)) = (e22)))) -> ((~((op2 (e22) (e21)) = (e22)))\/(~((op2 (e23) (e23)) = (e21)))) -> ((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e12) (e12)) = (e12)))) -> ((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e11) (e11)) = (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e12))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) -> (~((h4 (op1 (e11) (e10))) = (op2 (h4 (e11)) (h4 (e10))))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((e20) = (e22))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> ((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e12) (e12)) = (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e12) (e12)) = (e13)))) -> ((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e10) (e10)) = (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e12) (e12)) = (e10)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e11) (e11)) = (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e11) (e11)) = (e10)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e13) (e13)) = (e13)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e11) (e11)) = (e13)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e11) (e11)) = (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e10) (e10)) = (e12)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11)))) -> (~((op2 (e20) (e20)) = (e21))) -> ((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e20) (e20)) = (e23)))) -> ((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e22) (e22)) = (e22)))) -> ((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e20) (e20)) = (e22)))) -> False).
% 19.63/19.85 do 0 intro. intros zenon_H10d zenon_H54 zenon_H53 zenon_H52 zenon_H51 zenon_H48 zenon_H3e zenon_H47 zenon_H28 zenon_H1d zenon_H2d zenon_H2b zenon_H2e zenon_H2f zenon_H3d zenon_H4f zenon_H4b zenon_H4c zenon_H50 zenon_H13 zenon_H12 zenon_H152 zenon_H193 zenon_H10b zenon_H180 zenon_H17f zenon_H17e zenon_H161 zenon_H156 zenon_H155 zenon_Hfc zenon_Hc2 zenon_H17d zenon_H167 zenon_H168 zenon_H175 zenon_H17c zenon_H17b zenon_Hf5 zenon_Hf6 zenon_Hf4 zenon_He8 zenon_Hf3 zenon_Hf7 zenon_Hf8 zenon_Hfa zenon_H55 zenon_Hb8 zenon_Hbe zenon_Hbd zenon_Hbb zenon_Hbc zenon_Hbf zenon_Hc0 zenon_H80 zenon_H72 zenon_H71 zenon_H6e zenon_H70 zenon_H60 zenon_H6b zenon_Hb5 zenon_Hb4 zenon_Haf zenon_Hab zenon_Ha5 zenon_Ha1 zenon_H84 zenon_H8d zenon_H8b zenon_H94 zenon_H9a zenon_Hb6 zenon_Hb7 zenon_Hf9 zenon_H3f zenon_H194 zenon_H195 zenon_H10e.
% 19.63/19.85 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H14 | zenon_intro zenon_H2c ].
% 19.63/19.85 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H15 | zenon_intro zenon_H40 ].
% 19.63/19.85 apply (zenon_L17_); trivial.
% 19.63/19.85 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 19.63/19.85 apply (zenon_L78_); trivial.
% 19.63/19.85 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H15 | zenon_intro zenon_H16b ].
% 19.63/19.85 apply (zenon_L95_); trivial.
% 19.63/19.85 apply (zenon_L105_); trivial.
% 19.63/19.85 apply zenon_H2c. apply sym_equal. exact zenon_H2b.
% 19.63/19.85 (* end of lemma zenon_L106_ *)
% 19.63/19.85 assert (zenon_L107_ : ((~((op2 (e20) (e21)) = (e20)))\/(~((op2 (e20) (e20)) = (e21)))) -> ((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e20) (e20)) = (e21)))) -> ((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e20) (e20)) = (e23)))) -> ((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e21) (e21)) = (e23)))) -> ((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e20) (e20)) = (e21)))) -> ((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e20) (e20)) = (e22)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e23) (e23)) = (e21)))) -> ((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> ((e21) = (op2 (e23) (e23))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e21) (e21)) = (e22)))) -> ((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e21) (e21)) = (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> ((~((op2 (e23) (e20)) = (e23)))\/(~((op2 (e21) (e21)) = (e20)))) -> (~((op2 (e20) (e20)) = (e20))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> ((~((op2 (e22) (e21)) = (e22)))\/(~((op2 (e20) (e20)) = (e21)))) -> ((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e20) (e20)) = (e22)))) -> ((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e22) (e22)) = (e22)))) -> ((~((op2 (e22) (e21)) = (e22)))\/(~((op2 (e23) (e23)) = (e21)))) -> ((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e21) (e21)) = (e22)))) -> ((~((op2 (e20) (e21)) = (e20)))\/(~((op2 (e23) (e23)) = (e21)))) -> ((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e12) (e12)) = (e12)))) -> ((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e11) (e11)) = (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e12))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) -> (~((h4 (op1 (e11) (e10))) = (op2 (h4 (e11)) (h4 (e10))))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((e20) = (e22))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> ((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e12) (e12)) = (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e12) (e12)) = (e13)))) -> ((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e10) (e10)) = (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e12) (e12)) = (e10)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e11) (e11)) = (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e11) (e11)) = (e10)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e13) (e13)) = (e13)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e11) (e11)) = (e13)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e11) (e11)) = (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e10) (e10)) = (e12)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e21) (e21)) = (e23)))) -> ((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e20) (e20)) = (e23)))) -> False).
% 19.63/19.85 do 0 intro. intros zenon_H10c zenon_H54 zenon_H53 zenon_H52 zenon_H51 zenon_H48 zenon_H3e zenon_H47 zenon_H28 zenon_H1d zenon_H2d zenon_H2b zenon_H2e zenon_H2f zenon_H3d zenon_H4f zenon_H4b zenon_H4c zenon_H50 zenon_H13 zenon_H12 zenon_H196 zenon_H10e zenon_H195 zenon_H193 zenon_H152 zenon_H10d zenon_H10b zenon_H180 zenon_H17f zenon_H17e zenon_H161 zenon_H156 zenon_H155 zenon_Hfc zenon_Hc2 zenon_H17d zenon_H167 zenon_H168 zenon_H175 zenon_H17c zenon_H17b zenon_Hf5 zenon_Hf6 zenon_Hf4 zenon_He8 zenon_Hf3 zenon_Hf7 zenon_Hf8 zenon_Hfa zenon_H55 zenon_Hb8 zenon_Hbe zenon_Hbd zenon_Hbb zenon_Hbc zenon_Hbf zenon_Hc0 zenon_H80 zenon_H72 zenon_H71 zenon_H6e zenon_H70 zenon_H60 zenon_H6b zenon_Hb5 zenon_Hb4 zenon_Haf zenon_Hab zenon_Ha5 zenon_Ha1 zenon_H84 zenon_H8d zenon_H8b zenon_H94 zenon_H9a zenon_Hb6 zenon_Hb7 zenon_Hf9 zenon_H192 zenon_H194.
% 19.63/19.85 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_H14 | zenon_intro zenon_H3f ].
% 19.63/19.85 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H15 | zenon_intro zenon_H40 ].
% 19.63/19.85 apply (zenon_L17_); trivial.
% 19.63/19.85 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 19.63/19.85 apply (zenon_L78_); trivial.
% 19.63/19.85 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H15 | zenon_intro zenon_H16b ].
% 19.63/19.85 apply (zenon_L95_); trivial.
% 19.63/19.85 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H16a | zenon_intro zenon_H3f ].
% 19.63/19.85 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H16c | zenon_intro zenon_H41 ].
% 19.63/19.85 apply (zenon_L103_); trivial.
% 19.63/19.85 apply (zenon_L104_); trivial.
% 19.63/19.85 apply (zenon_L106_); trivial.
% 19.63/19.85 apply (zenon_L106_); trivial.
% 19.63/19.85 (* end of lemma zenon_L107_ *)
% 19.63/19.85 assert (zenon_L108_ : ((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e21) (e21)) = (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((op2 (e21) (e21)) = (e22))) -> (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> (~((op2 (e22) (e20)) = (e22))) -> (~((op2 (e22) (e21)) = (e22))) -> (~((op2 (e22) (e22)) = (e22))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> False).
% 19.63/19.85 do 0 intro. intros zenon_H192 zenon_H2f zenon_H2e zenon_H2b zenon_H30 zenon_H31 zenon_H2d zenon_H170 zenon_H16a zenon_H16b zenon_H167.
% 19.63/19.85 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H16c | zenon_intro zenon_H32 ].
% 19.63/19.85 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H16e | zenon_intro zenon_H16d ].
% 19.63/19.85 exact (zenon_H170 zenon_H16e).
% 19.63/19.85 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H172 | zenon_intro zenon_H171 ].
% 19.63/19.85 exact (zenon_H16a zenon_H172).
% 19.63/19.85 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H174 | zenon_intro zenon_H173 ].
% 19.63/19.85 exact (zenon_H16b zenon_H174).
% 19.63/19.85 exact (zenon_H16c zenon_H173).
% 19.63/19.85 apply (zenon_L6_); trivial.
% 19.63/19.85 (* end of lemma zenon_L108_ *)
% 19.63/19.85 assert (zenon_L109_ : ((~((op2 (e22) (e21)) = (e22)))\/(~((op2 (e23) (e23)) = (e21)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e20)) = (e22))) -> (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> (~((op2 (e21) (e21)) = (e22))) -> (~((op2 (e21) (e21)) = (e21))) -> ((e21) = (op2 (e23) (e23))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e21) (e21)) = (e23)))) -> False).
% 19.63/19.85 do 0 intro. intros zenon_H193 zenon_H167 zenon_H16b zenon_H170 zenon_H2d zenon_H31 zenon_H30 zenon_H2b zenon_H2e zenon_H2f zenon_H192.
% 19.63/19.85 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H16a | zenon_intro zenon_H2c ].
% 19.63/19.85 apply (zenon_L108_); trivial.
% 19.63/19.85 apply zenon_H2c. apply sym_equal. exact zenon_H2b.
% 19.63/19.85 (* end of lemma zenon_L109_ *)
% 19.63/19.85 assert (zenon_L110_ : ((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (e10))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e13) (e13)) = (e13)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e10) (e10)) = (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e11) (e11)) = (e10)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e11) (e11)) = (e13)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e12) (e12)) = (e10)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))) -> ((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e10) (e10)) = (e12)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e12) (e12)) = (e13)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e12) (e12)) = (e11)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e10)) = (e12))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (e12))) -> (~((op1 (e11) (e11)) = (e11))) -> ((e11) = (op1 (e13) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e11) (e11)) = (e13)))) -> False).
% 19.63/19.85 do 0 intro. intros zenon_H17b zenon_Hbe zenon_H55 zenon_H56 zenon_Hbc zenon_Hb5 zenon_H60 zenon_Hb4 zenon_Haf zenon_Hab zenon_Ha5 zenon_Ha1 zenon_H84 zenon_H8d zenon_H8b zenon_H94 zenon_H9a zenon_Hb6 zenon_Hb8 zenon_Hbb zenon_Hbf zenon_Hf7 zenon_Hf3 zenon_He8 zenon_H6b zenon_Hf4 zenon_Hf6 zenon_Hf5 zenon_H155 zenon_Heb zenon_H15d zenon_H70 zenon_H74 zenon_H73 zenon_H6e zenon_H71 zenon_H72 zenon_H17f.
% 19.63/19.85 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H158 | zenon_intro zenon_Haa ].
% 19.63/19.85 apply (zenon_or_s _ _ zenon_H17f); [ zenon_intro zenon_H159 | zenon_intro zenon_H75 ].
% 19.63/19.85 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H15b | zenon_intro zenon_H15a ].
% 19.63/19.85 exact (zenon_H15d zenon_H15b).
% 19.63/19.85 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H15f | zenon_intro zenon_H15e ].
% 19.63/19.85 exact (zenon_H158 zenon_H15f).
% 19.63/19.85 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hf2 | zenon_intro zenon_H160 ].
% 19.63/19.85 exact (zenon_Heb zenon_Hf2).
% 19.63/19.85 exact (zenon_H159 zenon_H160).
% 19.63/19.85 apply (zenon_L23_); trivial.
% 19.63/19.85 apply (zenon_L64_); trivial.
% 19.63/19.85 (* end of lemma zenon_L110_ *)
% 19.63/19.85 assert (zenon_L111_ : (~((h4 (op1 (e11) (e11))) = (op2 (h4 (e11)) (h4 (e11))))) -> ((h4 (e13)) = (e23)) -> ((op1 (e11) (e11)) = (e13)) -> ((op2 (e21) (e21)) = (e23)) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((e21) = (op2 (e23) (e23))) -> False).
% 19.63/19.85 do 0 intro. intros zenon_H197 zenon_H12b zenon_H7e zenon_H3b zenon_Hfc zenon_H2b.
% 19.63/19.85 cut (((h4 (e13)) = (e23)) = ((h4 (op1 (e11) (e11))) = (op2 (h4 (e11)) (h4 (e11))))).
% 19.63/19.85 intro zenon_D_pnotp.
% 19.63/19.85 apply zenon_H197.
% 19.63/19.85 rewrite <- zenon_D_pnotp.
% 19.63/19.85 exact zenon_H12b.
% 19.63/19.85 cut (((e23) = (op2 (h4 (e11)) (h4 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H198].
% 19.63/19.85 cut (((h4 (e13)) = (h4 (op1 (e11) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H199].
% 19.63/19.85 congruence.
% 19.63/19.85 elim (classic ((h4 (op1 (e11) (e11))) = (h4 (op1 (e11) (e11))))); [ zenon_intro zenon_H19a | zenon_intro zenon_H19b ].
% 19.63/19.85 cut (((h4 (op1 (e11) (e11))) = (h4 (op1 (e11) (e11)))) = ((h4 (e13)) = (h4 (op1 (e11) (e11))))).
% 19.63/19.85 intro zenon_D_pnotp.
% 19.63/19.85 apply zenon_H199.
% 19.63/19.85 rewrite <- zenon_D_pnotp.
% 19.63/19.85 exact zenon_H19a.
% 19.63/19.85 cut (((h4 (op1 (e11) (e11))) = (h4 (op1 (e11) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H19b].
% 19.63/19.85 cut (((h4 (op1 (e11) (e11))) = (h4 (e13)))); [idtac | apply NNPP; zenon_intro zenon_H19c].
% 19.63/19.85 congruence.
% 19.63/19.85 cut (((op1 (e11) (e11)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H75].
% 19.63/19.85 congruence.
% 19.63/19.85 exact (zenon_H75 zenon_H7e).
% 19.63/19.85 apply zenon_H19b. apply refl_equal.
% 19.63/19.85 apply zenon_H19b. apply refl_equal.
% 19.63/19.85 elim (classic ((op2 (h4 (e11)) (h4 (e11))) = (op2 (h4 (e11)) (h4 (e11))))); [ zenon_intro zenon_H19d | zenon_intro zenon_H19e ].
% 19.63/19.85 cut (((op2 (h4 (e11)) (h4 (e11))) = (op2 (h4 (e11)) (h4 (e11)))) = ((e23) = (op2 (h4 (e11)) (h4 (e11))))).
% 19.63/19.85 intro zenon_D_pnotp.
% 19.63/19.85 apply zenon_H198.
% 19.63/19.85 rewrite <- zenon_D_pnotp.
% 19.63/19.85 exact zenon_H19d.
% 19.63/19.85 cut (((op2 (h4 (e11)) (h4 (e11))) = (op2 (h4 (e11)) (h4 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H19e].
% 19.63/19.85 cut (((op2 (h4 (e11)) (h4 (e11))) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H19f].
% 19.63/19.85 congruence.
% 19.63/19.85 cut (((op2 (e21) (e21)) = (e23)) = ((op2 (h4 (e11)) (h4 (e11))) = (e23))).
% 19.63/19.85 intro zenon_D_pnotp.
% 19.63/19.85 apply zenon_H19f.
% 19.63/19.85 rewrite <- zenon_D_pnotp.
% 19.63/19.85 exact zenon_H3b.
% 19.63/19.85 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H29].
% 19.63/19.85 cut (((op2 (e21) (e21)) = (op2 (h4 (e11)) (h4 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H1a0].
% 19.63/19.85 congruence.
% 19.63/19.85 elim (classic ((op2 (h4 (e11)) (h4 (e11))) = (op2 (h4 (e11)) (h4 (e11))))); [ zenon_intro zenon_H19d | zenon_intro zenon_H19e ].
% 19.63/19.85 cut (((op2 (h4 (e11)) (h4 (e11))) = (op2 (h4 (e11)) (h4 (e11)))) = ((op2 (e21) (e21)) = (op2 (h4 (e11)) (h4 (e11))))).
% 19.63/19.85 intro zenon_D_pnotp.
% 19.63/19.85 apply zenon_H1a0.
% 19.63/19.85 rewrite <- zenon_D_pnotp.
% 19.63/19.85 exact zenon_H19d.
% 19.63/19.85 cut (((op2 (h4 (e11)) (h4 (e11))) = (op2 (h4 (e11)) (h4 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H19e].
% 19.63/19.85 cut (((op2 (h4 (e11)) (h4 (e11))) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H1a1].
% 19.63/19.85 congruence.
% 19.63/19.85 cut (((h4 (e11)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H153].
% 19.63/19.85 cut (((h4 (e11)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H153].
% 19.63/19.85 congruence.
% 19.63/19.85 apply (zenon_L97_); trivial.
% 19.63/19.85 apply (zenon_L97_); trivial.
% 19.63/19.85 apply zenon_H19e. apply refl_equal.
% 19.63/19.85 apply zenon_H19e. apply refl_equal.
% 19.63/19.85 apply zenon_H29. apply refl_equal.
% 19.63/19.85 apply zenon_H19e. apply refl_equal.
% 19.63/19.85 apply zenon_H19e. apply refl_equal.
% 19.63/19.85 (* end of lemma zenon_L111_ *)
% 19.63/19.85 assert (zenon_L112_ : (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (e10))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e11) (e11)) = (e12))) -> (~((h4 (op1 (e11) (e11))) = (op2 (h4 (e11)) (h4 (e11))))) -> ((h4 (e13)) = (e23)) -> ((op2 (e21) (e21)) = (e23)) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((e21) = (op2 (e23) (e23))) -> False).
% 19.63/19.85 do 0 intro. intros zenon_H70 zenon_H7b zenon_H73 zenon_H74 zenon_H197 zenon_H12b zenon_H3b zenon_Hfc zenon_H2b.
% 19.63/19.85 apply (zenon_or_s _ _ zenon_H70); [ zenon_intro zenon_H77 | zenon_intro zenon_H76 ].
% 19.63/19.85 exact (zenon_H7b zenon_H77).
% 19.63/19.85 apply (zenon_or_s _ _ zenon_H76); [ zenon_intro zenon_H7d | zenon_intro zenon_H7c ].
% 19.63/19.85 exact (zenon_H73 zenon_H7d).
% 19.63/19.85 apply (zenon_or_s _ _ zenon_H7c); [ zenon_intro zenon_H7f | zenon_intro zenon_H7e ].
% 19.63/19.85 exact (zenon_H74 zenon_H7f).
% 19.63/19.85 apply (zenon_L111_); trivial.
% 19.63/19.85 (* end of lemma zenon_L112_ *)
% 19.63/19.85 assert (zenon_L113_ : (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> (~((op2 (e21) (e21)) = (e20))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((op2 (e21) (e21)) = (e22))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (e10))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e11) (e11)) = (e12))) -> (~((h4 (op1 (e11) (e11))) = (op2 (h4 (e11)) (h4 (e11))))) -> ((h4 (e13)) = (e23)) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((e21) = (op2 (e23) (e23))) -> False).
% 19.63/19.85 do 0 intro. intros zenon_H2d zenon_H38 zenon_H30 zenon_H31 zenon_H70 zenon_H7b zenon_H73 zenon_H74 zenon_H197 zenon_H12b zenon_Hfc zenon_H2b.
% 19.63/19.85 apply (zenon_or_s _ _ zenon_H2d); [ zenon_intro zenon_H34 | zenon_intro zenon_H33 ].
% 19.63/19.85 exact (zenon_H38 zenon_H34).
% 19.63/19.85 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_H3a | zenon_intro zenon_H39 ].
% 19.63/19.85 exact (zenon_H30 zenon_H3a).
% 19.63/19.85 apply (zenon_or_s _ _ zenon_H39); [ zenon_intro zenon_H3c | zenon_intro zenon_H3b ].
% 19.63/19.85 exact (zenon_H31 zenon_H3c).
% 19.63/19.85 apply (zenon_L112_); trivial.
% 19.63/19.85 (* end of lemma zenon_L113_ *)
% 19.63/19.85 assert (zenon_L114_ : ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e10) (e10)) = (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((e11) = (e12))) -> (~((e10) = (e11))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> ((e11) = (op1 (e13) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e11) (e11)) = (e12)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e11) (e11)) = (e13)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e13) (e13)) = (e13)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e11) (e11)) = (e10)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e11) (e11)) = (e12)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e12) (e12)) = (e10)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e10) (e10)) = (e12)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e12) (e12)) = (e13)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e12) (e12)) = (e11)))) -> ((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e10) (e10)) = (e11)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e11) (e11)) = (e13)))) -> (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> (~((h4 (op1 (e11) (e11))) = (op2 (h4 (e11)) (h4 (e11))))) -> ((h4 (e13)) = (e23)) -> ((e21) = (op2 (e23) (e23))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> (~((op2 (e21) (e21)) = (e22))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((op2 (e21) (e21)) = (e20))) -> ((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e11) (e11)) = (e10)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e12) (e12)) = (e12)))) -> False).
% 19.63/19.85 do 0 intro. intros zenon_Hf9 zenon_Hb7 zenon_Hb6 zenon_H9a zenon_H94 zenon_H8b zenon_H8d zenon_H84 zenon_Ha1 zenon_Ha5 zenon_Hab zenon_Haf zenon_Hb4 zenon_Hb5 zenon_H6b zenon_H60 zenon_H70 zenon_H6e zenon_H71 zenon_H72 zenon_H80 zenon_Hc0 zenon_Hbf zenon_Hbc zenon_Hbb zenon_Hbd zenon_Hbe zenon_Hb8 zenon_H56 zenon_H55 zenon_Hfa zenon_Hf8 zenon_Hf7 zenon_Hf3 zenon_He8 zenon_Hf4 zenon_Hf6 zenon_Hf5 zenon_H17b zenon_H155 zenon_H17f zenon_H2d zenon_H197 zenon_H12b zenon_H2b zenon_Hfc zenon_H31 zenon_H30 zenon_H38 zenon_H1a2 zenon_H180.
% 19.63/19.85 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H57 | zenon_intro zenon_Haa ].
% 19.63/19.85 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H58 | zenon_intro zenon_H9b ].
% 19.63/19.85 apply (zenon_L45_); trivial.
% 19.63/19.85 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H58 | zenon_intro zenon_H74 ].
% 19.63/19.85 apply (zenon_L48_); trivial.
% 19.63/19.85 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H58 | zenon_intro zenon_Heb ].
% 19.63/19.85 apply (zenon_L96_); trivial.
% 19.63/19.85 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H73 | zenon_intro zenon_Haa ].
% 19.63/19.85 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H15d | zenon_intro zenon_H7b ].
% 19.63/19.85 apply (zenon_L110_); trivial.
% 19.63/19.85 apply (zenon_L113_); trivial.
% 19.63/19.85 apply (zenon_L43_); trivial.
% 19.63/19.85 apply (zenon_L65_); trivial.
% 19.63/19.85 (* end of lemma zenon_L114_ *)
% 19.63/19.85 assert (zenon_L115_ : ((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e12) (e12)) = (e12)))) -> ((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e11) (e11)) = (e10)))) -> (~((op2 (e21) (e21)) = (e20))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((op2 (e21) (e21)) = (e22))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((e21) = (op2 (e23) (e23))) -> ((h4 (e13)) = (e23)) -> (~((h4 (op1 (e11) (e11))) = (op2 (h4 (e11)) (h4 (e11))))) -> (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> ((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e11) (e11)) = (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e12) (e12)) = (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e12) (e12)) = (e13)))) -> ((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e10) (e10)) = (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e12) (e12)) = (e10)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e11) (e11)) = (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e11) (e11)) = (e10)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e13) (e13)) = (e13)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e11) (e11)) = (e13)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e11) (e11)) = (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e10) (e10)) = (e12)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11)))) -> False).
% 19.63/19.85 do 0 intro. intros zenon_H10b zenon_H180 zenon_H1a2 zenon_H38 zenon_H30 zenon_H31 zenon_Hfc zenon_H2b zenon_H12b zenon_H197 zenon_H2d zenon_H17f zenon_H155 zenon_H17b zenon_Hf5 zenon_Hf6 zenon_Hf4 zenon_He8 zenon_Hf3 zenon_Hf7 zenon_Hf8 zenon_Hfa zenon_H55 zenon_Hb8 zenon_Hbe zenon_Hbd zenon_Hbb zenon_Hbc zenon_Hbf zenon_Hc0 zenon_H80 zenon_H72 zenon_H71 zenon_H6e zenon_H70 zenon_H60 zenon_H6b zenon_Hb5 zenon_Hb4 zenon_Haf zenon_Hab zenon_Ha5 zenon_Ha1 zenon_H84 zenon_H8d zenon_H8b zenon_H94 zenon_H9a zenon_Hb6 zenon_Hb7 zenon_Hf9.
% 19.63/19.85 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_H56 | zenon_intro zenon_H56 ].
% 19.63/19.85 apply (zenon_L114_); trivial.
% 19.63/19.85 apply (zenon_L114_); trivial.
% 19.63/19.85 (* end of lemma zenon_L115_ *)
% 19.63/19.85 assert (zenon_L116_ : ((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e22) (e22)) = (e22)))) -> ((~((op2 (e22) (e21)) = (e22)))\/(~((op2 (e23) (e23)) = (e21)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e21) (e21)) = (e21))) -> ((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e21) (e21)) = (e23)))) -> ((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e12) (e12)) = (e12)))) -> ((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e11) (e11)) = (e10)))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((h4 (e13)) = (e23)) -> (~((h4 (op1 (e11) (e11))) = (op2 (h4 (e11)) (h4 (e11))))) -> ((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e11) (e11)) = (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e12) (e12)) = (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e12) (e12)) = (e13)))) -> ((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e10) (e10)) = (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e12) (e12)) = (e10)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e11) (e11)) = (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e11) (e11)) = (e10)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e13) (e13)) = (e13)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e11) (e11)) = (e13)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e11) (e11)) = (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e10) (e10)) = (e12)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op2 (e22) (e20)) = (e22)))\/(~((op2 (e21) (e21)) = (e20)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> (~((op2 (e20) (e21)) = (e20))) -> (~((op2 (e20) (e20)) = (e20))) -> ((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e20) (e20)) = (e21)))) -> ((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e20) (e20)) = (e23)))) -> ((~((op2 (e23) (e20)) = (e23)))\/(~((op2 (e21) (e21)) = (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> ((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e20) (e20)) = (e22)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23)))) -> ((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e23) (e23)) = (e21)))) -> ((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e21) (e21)) = (e23)))) -> ((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e21) (e21)) = (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e21) (e21)) = (e22))) -> (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> False).
% 19.63/19.85 do 0 intro. intros zenon_H195 zenon_H193 zenon_H167 zenon_H30 zenon_H192 zenon_H10b zenon_H180 zenon_H1a2 zenon_Hfc zenon_H12b zenon_H197 zenon_H17f zenon_H155 zenon_H17b zenon_Hf5 zenon_Hf6 zenon_Hf4 zenon_He8 zenon_Hf3 zenon_Hf7 zenon_Hf8 zenon_Hfa zenon_H55 zenon_Hb8 zenon_Hbe zenon_Hbd zenon_Hbb zenon_Hbc zenon_Hbf zenon_Hc0 zenon_H80 zenon_H72 zenon_H71 zenon_H6e zenon_H70 zenon_H60 zenon_H6b zenon_Hb5 zenon_Hb4 zenon_Haf zenon_Hab zenon_Ha5 zenon_Ha1 zenon_H84 zenon_H8d zenon_H8b zenon_H94 zenon_H9a zenon_Hb6 zenon_Hb7 zenon_Hf9 zenon_H1a3 zenon_H12 zenon_H14 zenon_H13 zenon_H54 zenon_H53 zenon_H50 zenon_H4b zenon_H4c zenon_H48 zenon_H3e zenon_H1d zenon_H28 zenon_H47 zenon_H52 zenon_H4f zenon_H2f zenon_H2e zenon_H2b zenon_H31 zenon_H2d.
% 19.63/19.85 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H15 | zenon_intro zenon_H16b ].
% 19.63/19.85 apply (zenon_L95_); trivial.
% 19.63/19.85 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H170 | zenon_intro zenon_H38 ].
% 19.63/19.85 apply (zenon_L109_); trivial.
% 19.63/19.85 apply (zenon_L115_); trivial.
% 19.63/19.85 (* end of lemma zenon_L116_ *)
% 19.63/19.85 assert (zenon_L117_ : ((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e21) (e21)) = (e22)))) -> ((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e22) (e22)) = (e22)))) -> ((~((op2 (e22) (e21)) = (e22)))\/(~((op2 (e23) (e23)) = (e21)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> ((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e21) (e21)) = (e23)))) -> ((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e12) (e12)) = (e12)))) -> ((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e11) (e11)) = (e10)))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((h4 (e13)) = (e23)) -> (~((h4 (op1 (e11) (e11))) = (op2 (h4 (e11)) (h4 (e11))))) -> ((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e11) (e11)) = (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e12) (e12)) = (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e12) (e12)) = (e13)))) -> ((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e10) (e10)) = (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e12) (e12)) = (e10)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e11) (e11)) = (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e11) (e11)) = (e10)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e13) (e13)) = (e13)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e11) (e11)) = (e13)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e11) (e11)) = (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e10) (e10)) = (e12)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op2 (e22) (e20)) = (e22)))\/(~((op2 (e21) (e21)) = (e20)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> (~((op2 (e20) (e21)) = (e20))) -> (~((op2 (e20) (e20)) = (e20))) -> ((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e21) (e21)) = (e23)))) -> ((~((op2 (e23) (e20)) = (e23)))\/(~((op2 (e21) (e21)) = (e20)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e21) (e21)) = (e21)))) -> ((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e21) (e21)) = (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23)))) -> ((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e23) (e23)) = (e21)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> ((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e20) (e20)) = (e22)))) -> ((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e20) (e20)) = (e21)))) -> (~((op2 (e20) (e20)) = (e22))) -> ((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e20) (e20)) = (e21)))) -> ((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e20) (e20)) = (e23)))) -> False).
% 19.63/19.85 do 0 intro. intros zenon_H152 zenon_H195 zenon_H193 zenon_H167 zenon_H192 zenon_H10b zenon_H180 zenon_H1a2 zenon_Hfc zenon_H12b zenon_H197 zenon_H17f zenon_H155 zenon_H17b zenon_Hf5 zenon_Hf6 zenon_Hf4 zenon_He8 zenon_Hf3 zenon_Hf7 zenon_Hf8 zenon_Hfa zenon_H55 zenon_Hb8 zenon_Hbe zenon_Hbd zenon_Hbb zenon_Hbc zenon_Hbf zenon_Hc0 zenon_H80 zenon_H72 zenon_H71 zenon_H6e zenon_H70 zenon_H60 zenon_H6b zenon_Hb5 zenon_Hb4 zenon_Haf zenon_Hab zenon_Ha5 zenon_Ha1 zenon_H84 zenon_H8d zenon_H8b zenon_H94 zenon_H9a zenon_Hb6 zenon_Hb7 zenon_Hf9 zenon_H1a3 zenon_H12 zenon_H14 zenon_H13 zenon_H52 zenon_H50 zenon_H4c zenon_H4b zenon_H4f zenon_H3d zenon_H2f zenon_H2e zenon_H2b zenon_H2d zenon_H1d zenon_H28 zenon_H47 zenon_H3e zenon_H48 zenon_H51 zenon_H40 zenon_H54 zenon_H53.
% 19.63/19.85 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 19.63/19.85 apply (zenon_L78_); trivial.
% 19.63/19.85 apply (zenon_or_s _ _ zenon_H4f); [ zenon_intro zenon_H30 | zenon_intro zenon_H30 ].
% 19.63/19.85 apply (zenon_L116_); trivial.
% 19.63/19.85 apply (zenon_L116_); trivial.
% 19.63/19.85 (* end of lemma zenon_L117_ *)
% 19.63/19.85 assert (zenon_L118_ : ((~((op2 (e20) (e21)) = (e20)))\/(~((op2 (e20) (e20)) = (e21)))) -> ((~((op2 (e20) (e21)) = (e20)))\/(~((op2 (e23) (e23)) = (e21)))) -> ((~((op2 (e20) (e21)) = (e20)))\/(~((op2 (e21) (e21)) = (e21)))) -> ((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e20) (e20)) = (e21)))) -> ((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e20) (e20)) = (e23)))) -> ((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e21) (e21)) = (e23)))) -> ((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e20) (e20)) = (e21)))) -> ((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e20) (e20)) = (e22)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e23) (e23)) = (e21)))) -> ((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> ((e21) = (op2 (e23) (e23))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e21) (e21)) = (e22)))) -> ((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e21) (e21)) = (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> ((~((op2 (e23) (e20)) = (e23)))\/(~((op2 (e21) (e21)) = (e20)))) -> (~((op2 (e20) (e20)) = (e20))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> ((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e21) (e21)) = (e22)))) -> ((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e22) (e22)) = (e22)))) -> ((~((op2 (e22) (e21)) = (e22)))\/(~((op2 (e23) (e23)) = (e21)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> ((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e21) (e21)) = (e23)))) -> ((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e12) (e12)) = (e12)))) -> ((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e11) (e11)) = (e10)))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((h4 (e13)) = (e23)) -> (~((h4 (op1 (e11) (e11))) = (op2 (h4 (e11)) (h4 (e11))))) -> ((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e11) (e11)) = (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e12) (e12)) = (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e12) (e12)) = (e13)))) -> ((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e10) (e10)) = (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e12) (e12)) = (e10)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e11) (e11)) = (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e11) (e11)) = (e10)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e13) (e13)) = (e13)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e11) (e11)) = (e13)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e11) (e11)) = (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e10) (e10)) = (e12)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op2 (e22) (e20)) = (e22)))\/(~((op2 (e21) (e21)) = (e20)))) -> ((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e20) (e20)) = (e22)))) -> False).
% 19.63/19.85 do 0 intro. intros zenon_H10c zenon_H10d zenon_H127 zenon_H54 zenon_H53 zenon_H52 zenon_H51 zenon_H48 zenon_H3e zenon_H47 zenon_H28 zenon_H1d zenon_H2d zenon_H2b zenon_H2e zenon_H2f zenon_H3d zenon_H4f zenon_H4b zenon_H4c zenon_H50 zenon_H13 zenon_H12 zenon_H152 zenon_H195 zenon_H193 zenon_H167 zenon_H192 zenon_H10b zenon_H180 zenon_H1a2 zenon_Hfc zenon_H12b zenon_H197 zenon_H17f zenon_H155 zenon_H17b zenon_Hf5 zenon_Hf6 zenon_Hf4 zenon_He8 zenon_Hf3 zenon_Hf7 zenon_Hf8 zenon_Hfa zenon_H55 zenon_Hb8 zenon_Hbe zenon_Hbd zenon_Hbb zenon_Hbc zenon_Hbf zenon_Hc0 zenon_H80 zenon_H72 zenon_H71 zenon_H6e zenon_H70 zenon_H60 zenon_H6b zenon_Hb5 zenon_Hb4 zenon_Haf zenon_Hab zenon_Ha5 zenon_Ha1 zenon_H84 zenon_H8d zenon_H8b zenon_H94 zenon_H9a zenon_Hb6 zenon_Hb7 zenon_Hf9 zenon_H1a3 zenon_H10e.
% 19.63/19.85 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_H14 | zenon_intro zenon_H3f ].
% 19.63/19.85 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H15 | zenon_intro zenon_H40 ].
% 19.63/19.85 apply (zenon_L17_); trivial.
% 19.63/19.85 apply (zenon_L117_); trivial.
% 19.63/19.85 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H14 | zenon_intro zenon_H30 ].
% 19.63/19.85 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H15 | zenon_intro zenon_H40 ].
% 19.63/19.85 apply (zenon_L16_); trivial.
% 19.63/19.85 apply (zenon_L117_); trivial.
% 19.63/19.85 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H14 | zenon_intro zenon_H2c ].
% 19.63/19.85 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H15 | zenon_intro zenon_H40 ].
% 19.63/19.85 apply (zenon_L17_); trivial.
% 19.63/19.85 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 19.63/19.85 apply (zenon_L78_); trivial.
% 19.63/19.85 apply (zenon_L116_); trivial.
% 19.63/19.85 apply zenon_H2c. apply sym_equal. exact zenon_H2b.
% 19.63/19.85 (* end of lemma zenon_L118_ *)
% 19.63/19.85 assert (zenon_L119_ : ((op2 (e21) (e20)) = (e20)) -> ((op2 (e21) (e20)) = (e21)) -> (~((e20) = (e21))) -> False).
% 19.63/19.85 do 0 intro. intros zenon_H183 zenon_H1a4 zenon_Hdf.
% 19.63/19.85 elim (classic ((e21) = (e21))); [ zenon_intro zenon_He0 | zenon_intro zenon_Hc4 ].
% 19.63/19.85 cut (((e21) = (e21)) = ((e20) = (e21))).
% 19.63/19.85 intro zenon_D_pnotp.
% 19.63/19.85 apply zenon_Hdf.
% 19.63/19.85 rewrite <- zenon_D_pnotp.
% 19.63/19.85 exact zenon_He0.
% 19.63/19.85 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_Hc4].
% 19.63/19.85 cut (((e21) = (e20))); [idtac | apply NNPP; zenon_intro zenon_He1].
% 19.63/19.85 congruence.
% 19.63/19.85 cut (((op2 (e21) (e20)) = (e20)) = ((e21) = (e20))).
% 19.63/19.85 intro zenon_D_pnotp.
% 19.63/19.85 apply zenon_He1.
% 19.63/19.85 rewrite <- zenon_D_pnotp.
% 19.63/19.85 exact zenon_H183.
% 19.63/19.85 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_Hdd].
% 19.63/19.85 cut (((op2 (e21) (e20)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H1a5].
% 19.63/19.85 congruence.
% 19.63/19.85 exact (zenon_H1a5 zenon_H1a4).
% 19.63/19.85 apply zenon_Hdd. apply refl_equal.
% 19.63/19.85 apply zenon_Hc4. apply refl_equal.
% 19.63/19.85 apply zenon_Hc4. apply refl_equal.
% 19.63/19.85 (* end of lemma zenon_L119_ *)
% 19.63/19.85 assert (zenon_L120_ : ((e11) = (op1 (e13) (e13))) -> ((op1 (e10) (e10)) = (e11)) -> (~((op1 (e13) (e13)) = (op1 (e10) (e10)))) -> False).
% 19.63/19.85 do 0 intro. intros zenon_H6e zenon_Had zenon_H1a6.
% 19.63/19.85 elim (classic ((op1 (e10) (e10)) = (op1 (e10) (e10)))); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1a8 ].
% 19.63/19.85 cut (((op1 (e10) (e10)) = (op1 (e10) (e10))) = ((op1 (e13) (e13)) = (op1 (e10) (e10)))).
% 19.63/19.85 intro zenon_D_pnotp.
% 19.63/19.85 apply zenon_H1a6.
% 19.63/19.85 rewrite <- zenon_D_pnotp.
% 19.63/19.85 exact zenon_H1a7.
% 19.63/19.85 cut (((op1 (e10) (e10)) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H1a8].
% 19.63/19.85 cut (((op1 (e10) (e10)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H1a9].
% 19.63/19.85 congruence.
% 19.63/19.85 cut (((e11) = (op1 (e13) (e13))) = ((op1 (e10) (e10)) = (op1 (e13) (e13)))).
% 19.63/19.85 intro zenon_D_pnotp.
% 19.63/19.85 apply zenon_H1a9.
% 19.63/19.85 rewrite <- zenon_D_pnotp.
% 19.63/19.85 exact zenon_H6e.
% 19.63/19.85 cut (((op1 (e13) (e13)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Ha7].
% 19.63/19.85 cut (((e11) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H1aa].
% 19.63/19.85 congruence.
% 19.63/19.85 elim (classic ((op1 (e10) (e10)) = (op1 (e10) (e10)))); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1a8 ].
% 19.63/19.85 cut (((op1 (e10) (e10)) = (op1 (e10) (e10))) = ((e11) = (op1 (e10) (e10)))).
% 19.63/19.85 intro zenon_D_pnotp.
% 19.63/19.85 apply zenon_H1aa.
% 19.63/19.85 rewrite <- zenon_D_pnotp.
% 19.63/19.85 exact zenon_H1a7.
% 19.63/19.85 cut (((op1 (e10) (e10)) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H1a8].
% 19.63/19.85 cut (((op1 (e10) (e10)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_Haa].
% 19.63/19.85 congruence.
% 19.63/19.85 exact (zenon_Haa zenon_Had).
% 19.63/19.85 apply zenon_H1a8. apply refl_equal.
% 19.63/19.85 apply zenon_H1a8. apply refl_equal.
% 19.63/19.85 apply zenon_Ha7. apply refl_equal.
% 19.63/19.85 apply zenon_H1a8. apply refl_equal.
% 19.63/19.85 apply zenon_H1a8. apply refl_equal.
% 19.63/19.85 (* end of lemma zenon_L120_ *)
% 19.63/19.85 assert (zenon_L121_ : ((op1 (e11) (e10)) = (e11)) -> ((e11) = (op1 (e13) (e13))) -> ((op1 (e10) (e10)) = (e11)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> False).
% 19.63/19.85 do 0 intro. intros zenon_H1ab zenon_H6e zenon_Had zenon_H1ac.
% 19.63/19.85 elim (classic ((op1 (e11) (e10)) = (op1 (e11) (e10)))); [ zenon_intro zenon_H1ad | zenon_intro zenon_H1ae ].
% 19.63/19.85 cut (((op1 (e11) (e10)) = (op1 (e11) (e10))) = ((op1 (e10) (e10)) = (op1 (e11) (e10)))).
% 19.63/19.85 intro zenon_D_pnotp.
% 19.63/19.85 apply zenon_H1ac.
% 19.63/19.85 rewrite <- zenon_D_pnotp.
% 19.63/19.85 exact zenon_H1ad.
% 19.63/19.85 cut (((op1 (e11) (e10)) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H1ae].
% 19.63/19.85 cut (((op1 (e11) (e10)) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H1af].
% 19.63/19.85 congruence.
% 19.63/19.85 cut (((e11) = (op1 (e13) (e13))) = ((op1 (e11) (e10)) = (op1 (e10) (e10)))).
% 19.63/19.85 intro zenon_D_pnotp.
% 19.63/19.85 apply zenon_H1af.
% 19.63/19.85 rewrite <- zenon_D_pnotp.
% 19.63/19.85 exact zenon_H6e.
% 19.63/19.85 cut (((op1 (e13) (e13)) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H1a6].
% 19.63/19.85 cut (((e11) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H1b0].
% 19.63/19.85 congruence.
% 19.63/19.85 elim (classic ((op1 (e11) (e10)) = (op1 (e11) (e10)))); [ zenon_intro zenon_H1ad | zenon_intro zenon_H1ae ].
% 19.63/19.85 cut (((op1 (e11) (e10)) = (op1 (e11) (e10))) = ((e11) = (op1 (e11) (e10)))).
% 19.63/19.85 intro zenon_D_pnotp.
% 19.63/19.85 apply zenon_H1b0.
% 19.63/19.85 rewrite <- zenon_D_pnotp.
% 19.63/19.85 exact zenon_H1ad.
% 19.63/19.85 cut (((op1 (e11) (e10)) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H1ae].
% 19.63/19.85 cut (((op1 (e11) (e10)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H1b1].
% 19.63/19.85 congruence.
% 19.63/19.85 exact (zenon_H1b1 zenon_H1ab).
% 19.63/19.85 apply zenon_H1ae. apply refl_equal.
% 19.63/19.85 apply zenon_H1ae. apply refl_equal.
% 19.63/19.85 apply (zenon_L120_); trivial.
% 19.63/19.85 apply zenon_H1ae. apply refl_equal.
% 19.63/19.85 apply zenon_H1ae. apply refl_equal.
% 19.63/19.85 (* end of lemma zenon_L121_ *)
% 19.63/19.85 assert (zenon_L122_ : ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e10) (e10)) = (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((e11) = (e12))) -> (~((e10) = (e11))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> ((e11) = (op1 (e13) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e11) (e11)) = (e12)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e11) (e11)) = (e13)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e13) (e13)) = (e13)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e11) (e11)) = (e10)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e11) (e11)) = (e12)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((e20) = (e22))) -> (~((op2 (e22) (e21)) = (e22))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e23)) = (e22))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((e20) = (e21))) -> (~((op2 (e21) (e21)) = (e21))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((e21) = (op2 (e23) (e23))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> (~((h4 (op1 (e11) (e12))) = (op2 (h4 (e11)) (h4 (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op2 (e21) (e23)) = (e21))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e20) (e20)) = (e20))) -> ((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e12) (e12)) = (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e12) (e12)) = (e13)))) -> ((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e10) (e10)) = (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e12) (e12)) = (e10)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e11) (e11)) = (e11)))) -> False).
% 19.63/19.85 do 0 intro. intros zenon_Hf9 zenon_Hb7 zenon_Hb6 zenon_H9a zenon_H94 zenon_H8b zenon_H8d zenon_H84 zenon_Ha1 zenon_Ha5 zenon_Hab zenon_Haf zenon_Hb4 zenon_Hb5 zenon_H6b zenon_H60 zenon_H70 zenon_H6e zenon_H71 zenon_H72 zenon_H80 zenon_Hc0 zenon_Hbf zenon_Hbc zenon_Hbb zenon_Hbd zenon_Hbe zenon_Hb8 zenon_H56 zenon_H55 zenon_Hfa zenon_H17c zenon_H2e zenon_H175 zenon_H168 zenon_H16a zenon_H16b zenon_H16c zenon_H167 zenon_Hdf zenon_H30 zenon_H1b2 zenon_Hfc zenon_H2b zenon_H10f zenon_H4c zenon_H1b3 zenon_H1ac zenon_H1b4 zenon_H1b5 zenon_H13 zenon_H1b6 zenon_Hf5 zenon_Hf6 zenon_Hf4 zenon_He8 zenon_Hf3 zenon_Hf7 zenon_Hf8.
% 19.63/19.85 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H57 | zenon_intro zenon_Haa ].
% 19.63/19.85 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H58 | zenon_intro zenon_H9b ].
% 19.63/19.85 apply (zenon_L45_); trivial.
% 19.63/19.85 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H58 | zenon_intro zenon_H74 ].
% 19.63/19.85 apply (zenon_L48_); trivial.
% 19.63/19.85 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H59 | zenon_intro zenon_H75 ].
% 19.63/19.85 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H73 | zenon_intro zenon_Haa ].
% 19.63/19.85 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H75 ].
% 19.63/19.85 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H18 | zenon_intro zenon_H181 ].
% 19.63/19.85 exact (zenon_H13 zenon_H18).
% 19.63/19.85 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H183 | zenon_intro zenon_H182 ].
% 19.63/19.85 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H1a4 | zenon_intro zenon_H1b8 ].
% 19.63/19.85 apply (zenon_L119_); trivial.
% 19.63/19.85 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H3a | zenon_intro zenon_H1b9 ].
% 19.63/19.85 exact (zenon_H30 zenon_H3a).
% 19.63/19.85 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H1bb | zenon_intro zenon_H1ba ].
% 19.63/19.85 apply (zenon_or_s _ _ zenon_H55); [ zenon_intro zenon_H5b | zenon_intro zenon_H5a ].
% 19.63/19.85 exact (zenon_H56 zenon_H5b).
% 19.63/19.85 apply (zenon_or_s _ _ zenon_H5a); [ zenon_intro zenon_H5d | zenon_intro zenon_H5c ].
% 19.63/19.85 exact (zenon_H57 zenon_H5d).
% 19.63/19.85 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H5f | zenon_intro zenon_H5e ].
% 19.63/19.85 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_Had | zenon_intro zenon_Hac ].
% 19.63/19.85 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H1ab | zenon_intro zenon_H1bc ].
% 19.63/19.85 apply (zenon_L121_); trivial.
% 19.63/19.85 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H7d | zenon_intro zenon_H1bd ].
% 19.63/19.85 exact (zenon_H73 zenon_H7d).
% 19.63/19.85 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H1bf | zenon_intro zenon_H1be ].
% 19.63/19.85 cut (((h4 (e11)) = (op2 (e23) (e23))) = ((h4 (op1 (e11) (e12))) = (op2 (h4 (e11)) (h4 (e12))))).
% 19.63/19.85 intro zenon_D_pnotp.
% 19.63/19.85 apply zenon_H1b3.
% 19.63/19.85 rewrite <- zenon_D_pnotp.
% 19.63/19.85 exact zenon_Hfc.
% 19.63/19.85 cut (((op2 (e23) (e23)) = (op2 (h4 (e11)) (h4 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H1c0].
% 19.63/19.85 cut (((h4 (e11)) = (h4 (op1 (e11) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H1c1].
% 19.63/19.85 congruence.
% 19.63/19.85 elim (classic ((h4 (op1 (e11) (e12))) = (h4 (op1 (e11) (e12))))); [ zenon_intro zenon_H1c2 | zenon_intro zenon_H1c3 ].
% 19.63/19.85 cut (((h4 (op1 (e11) (e12))) = (h4 (op1 (e11) (e12)))) = ((h4 (e11)) = (h4 (op1 (e11) (e12))))).
% 19.63/19.85 intro zenon_D_pnotp.
% 19.63/19.85 apply zenon_H1c1.
% 19.63/19.85 rewrite <- zenon_D_pnotp.
% 19.63/19.85 exact zenon_H1c2.
% 19.63/19.85 cut (((h4 (op1 (e11) (e12))) = (h4 (op1 (e11) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H1c3].
% 19.63/19.85 cut (((h4 (op1 (e11) (e12))) = (h4 (e11)))); [idtac | apply NNPP; zenon_intro zenon_H1c4].
% 19.63/19.85 congruence.
% 19.63/19.85 cut (((op1 (e11) (e12)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H1c5].
% 19.63/19.85 congruence.
% 19.63/19.85 exact (zenon_H1c5 zenon_H1bf).
% 19.63/19.85 apply zenon_H1c3. apply refl_equal.
% 19.63/19.85 apply zenon_H1c3. apply refl_equal.
% 19.63/19.85 elim (classic ((op2 (h4 (e11)) (h4 (e12))) = (op2 (h4 (e11)) (h4 (e12))))); [ zenon_intro zenon_H1c6 | zenon_intro zenon_H1c7 ].
% 19.63/19.85 cut (((op2 (h4 (e11)) (h4 (e12))) = (op2 (h4 (e11)) (h4 (e12)))) = ((op2 (e23) (e23)) = (op2 (h4 (e11)) (h4 (e12))))).
% 19.63/19.85 intro zenon_D_pnotp.
% 19.63/19.85 apply zenon_H1c0.
% 19.63/19.85 rewrite <- zenon_D_pnotp.
% 19.63/19.85 exact zenon_H1c6.
% 19.63/19.85 cut (((op2 (h4 (e11)) (h4 (e12))) = (op2 (h4 (e11)) (h4 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H1c7].
% 19.63/19.85 cut (((op2 (h4 (e11)) (h4 (e12))) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H1c8].
% 19.63/19.85 congruence.
% 19.63/19.85 cut (((op2 (e21) (e22)) = (e21)) = ((op2 (h4 (e11)) (h4 (e12))) = (op2 (e23) (e23)))).
% 19.63/19.85 intro zenon_D_pnotp.
% 19.63/19.85 apply zenon_H1c8.
% 19.63/19.85 rewrite <- zenon_D_pnotp.
% 19.63/19.85 exact zenon_H1bb.
% 19.63/19.85 cut (((e21) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H107].
% 19.63/19.85 cut (((op2 (e21) (e22)) = (op2 (h4 (e11)) (h4 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H1c9].
% 19.63/19.85 congruence.
% 19.63/19.85 elim (classic ((op2 (h4 (e11)) (h4 (e12))) = (op2 (h4 (e11)) (h4 (e12))))); [ zenon_intro zenon_H1c6 | zenon_intro zenon_H1c7 ].
% 19.63/19.85 cut (((op2 (h4 (e11)) (h4 (e12))) = (op2 (h4 (e11)) (h4 (e12)))) = ((op2 (e21) (e22)) = (op2 (h4 (e11)) (h4 (e12))))).
% 19.63/19.85 intro zenon_D_pnotp.
% 19.63/19.85 apply zenon_H1c9.
% 19.63/19.85 rewrite <- zenon_D_pnotp.
% 19.63/19.85 exact zenon_H1c6.
% 19.63/19.85 cut (((op2 (h4 (e11)) (h4 (e12))) = (op2 (h4 (e11)) (h4 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H1c7].
% 19.63/19.85 cut (((op2 (h4 (e11)) (h4 (e12))) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H1ca].
% 19.63/19.85 congruence.
% 19.63/19.85 cut (((h4 (e12)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H118].
% 19.63/19.85 cut (((h4 (e11)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H153].
% 19.63/19.85 congruence.
% 19.63/19.85 apply (zenon_L97_); trivial.
% 19.63/19.85 apply (zenon_L73_); trivial.
% 19.63/19.85 apply zenon_H1c7. apply refl_equal.
% 19.63/19.85 apply zenon_H1c7. apply refl_equal.
% 19.63/19.85 exact (zenon_H107 zenon_H2b).
% 19.63/19.85 apply zenon_H1c7. apply refl_equal.
% 19.63/19.85 apply zenon_H1c7. apply refl_equal.
% 19.63/19.85 exact (zenon_H1b7 zenon_H1be).
% 19.63/19.85 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H82 | zenon_intro zenon_Hae ].
% 19.63/19.85 apply (zenon_L30_); trivial.
% 19.63/19.85 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_Ha0 | zenon_intro zenon_Ha6 ].
% 19.63/19.85 apply (zenon_L32_); trivial.
% 19.63/19.85 apply (zenon_L33_); trivial.
% 19.63/19.85 exact (zenon_H59 zenon_H5e).
% 19.63/19.85 exact (zenon_H1b4 zenon_H1ba).
% 19.63/19.85 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H169 | zenon_intro zenon_H176 ].
% 19.63/19.85 apply (zenon_L100_); trivial.
% 19.63/19.85 apply (zenon_L101_); trivial.
% 19.63/19.85 apply (zenon_L23_); trivial.
% 19.63/19.85 apply (zenon_L34_); trivial.
% 19.63/19.85 apply (zenon_L66_); trivial.
% 19.63/19.85 apply (zenon_L65_); trivial.
% 19.63/19.85 (* end of lemma zenon_L122_ *)
% 19.63/19.85 assert (zenon_L123_ : ((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e12) (e12)) = (e10)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e10) (e10)) = (e12)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e12) (e12)) = (e13)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e12) (e12)) = (e11)))) -> ((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))) -> (~((op2 (e20) (e20)) = (e20))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e21) (e23)) = (e21))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((h4 (op1 (e11) (e12))) = (op2 (h4 (e11)) (h4 (e12))))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((e20) = (e21))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e22) (e23)) = (e22))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e21)) = (e22))) -> (~((e20) = (e22))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e11) (e11)) = (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e11) (e11)) = (e10)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e13) (e13)) = (e13)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e11) (e11)) = (e13)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e11) (e11)) = (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e10) (e10)) = (e12)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11)))) -> False).
% 19.63/19.85 do 0 intro. intros zenon_H10b zenon_Hf8 zenon_Hf7 zenon_Hf3 zenon_He8 zenon_Hf4 zenon_Hf6 zenon_Hf5 zenon_H1b6 zenon_H13 zenon_H1b5 zenon_H1b4 zenon_H1ac zenon_H1b3 zenon_H4c zenon_H10f zenon_H2b zenon_Hfc zenon_H1b2 zenon_H30 zenon_Hdf zenon_H167 zenon_H16c zenon_H16b zenon_H16a zenon_H168 zenon_H175 zenon_H2e zenon_H17c zenon_Hfa zenon_H55 zenon_Hb8 zenon_Hbe zenon_Hbd zenon_Hbb zenon_Hbc zenon_Hbf zenon_Hc0 zenon_H80 zenon_H72 zenon_H71 zenon_H6e zenon_H70 zenon_H60 zenon_H6b zenon_Hb5 zenon_Hb4 zenon_Haf zenon_Hab zenon_Ha5 zenon_Ha1 zenon_H84 zenon_H8d zenon_H8b zenon_H94 zenon_H9a zenon_Hb6 zenon_Hb7 zenon_Hf9.
% 19.63/19.85 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_H56 | zenon_intro zenon_H56 ].
% 19.63/19.85 apply (zenon_L122_); trivial.
% 19.63/19.85 apply (zenon_L122_); trivial.
% 19.63/19.85 (* end of lemma zenon_L123_ *)
% 19.63/19.85 assert (zenon_L124_ : ((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e21) (e21)) = (e23)))) -> ((~((op2 (e23) (e20)) = (e23)))\/(~((op2 (e21) (e21)) = (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e21) (e21)) = (e21)))) -> ((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e21) (e21)) = (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23)))) -> ((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e23) (e23)) = (e21)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (e23))) -> ((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e20) (e20)) = (e22)))) -> ((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e20) (e20)) = (e21)))) -> (~((op2 (e20) (e20)) = (e22))) -> ((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e20) (e20)) = (e21)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e10) (e10)) = (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((e11) = (e12))) -> (~((e10) = (e11))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> ((e11) = (op1 (e13) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e11) (e11)) = (e12)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e11) (e11)) = (e13)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e13) (e13)) = (e13)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e11) (e11)) = (e10)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e11) (e11)) = (e12)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((e20) = (e22))) -> (~((op2 (e22) (e21)) = (e22))) -> (~((op2 (e22) (e22)) = (e22))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((e20) = (e21))) -> (~((op2 (e21) (e21)) = (e21))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((e21) = (op2 (e23) (e23))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> (~((h4 (op1 (e11) (e12))) = (op2 (h4 (e11)) (h4 (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op2 (e21) (e23)) = (e21))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e20) (e20)) = (e20))) -> ((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e12) (e12)) = (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e12) (e12)) = (e13)))) -> ((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e10) (e10)) = (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e12) (e12)) = (e10)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10)))) -> False).
% 19.63/19.85 do 0 intro. intros zenon_H192 zenon_H50 zenon_H4b zenon_H4f zenon_H3d zenon_H2f zenon_H2d zenon_H1d zenon_H28 zenon_H47 zenon_H3e zenon_H41 zenon_H48 zenon_H51 zenon_H40 zenon_H54 zenon_Hf9 zenon_Hb7 zenon_Hb6 zenon_H9a zenon_H94 zenon_H8b zenon_H8d zenon_H84 zenon_Ha1 zenon_Ha5 zenon_Hab zenon_Haf zenon_Hb4 zenon_Hb5 zenon_H6b zenon_H60 zenon_H70 zenon_H6e zenon_H71 zenon_H72 zenon_H80 zenon_Hc0 zenon_Hbf zenon_Hbc zenon_Hbb zenon_Hbd zenon_Hbe zenon_Hb8 zenon_H55 zenon_Hfa zenon_H17c zenon_H2e zenon_H175 zenon_H168 zenon_H16a zenon_H16b zenon_H167 zenon_Hdf zenon_H30 zenon_H1b2 zenon_Hfc zenon_H2b zenon_H10f zenon_H4c zenon_H1b3 zenon_H1ac zenon_H1b4 zenon_H1b5 zenon_H13 zenon_H1b6 zenon_Hf5 zenon_Hf6 zenon_Hf4 zenon_He8 zenon_Hf3 zenon_Hf7 zenon_Hf8 zenon_H10b.
% 19.63/19.85 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H16c | zenon_intro zenon_H32 ].
% 19.63/19.85 apply (zenon_L123_); trivial.
% 19.63/19.85 apply (zenon_L69_); trivial.
% 19.63/19.85 (* end of lemma zenon_L124_ *)
% 19.63/19.85 assert (zenon_L125_ : ((~((op2 (e22) (e21)) = (e22)))\/(~((op2 (e23) (e23)) = (e21)))) -> ((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e12) (e12)) = (e10)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e10) (e10)) = (e12)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e12) (e12)) = (e13)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e12) (e12)) = (e11)))) -> ((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))) -> (~((op2 (e20) (e20)) = (e20))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e21) (e23)) = (e21))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((h4 (op1 (e11) (e12))) = (op2 (h4 (e11)) (h4 (e12))))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((e20) = (e21))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((e20) = (e22))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e11) (e11)) = (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e11) (e11)) = (e10)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e13) (e13)) = (e13)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e11) (e11)) = (e13)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e11) (e11)) = (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e10) (e10)) = (e12)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (e22))) -> (~((op2 (e20) (e20)) = (e21))) -> ((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e20) (e20)) = (e23)))) -> False).
% 19.63/19.86 do 0 intro. intros zenon_H193 zenon_H10b zenon_Hf8 zenon_Hf7 zenon_Hf3 zenon_He8 zenon_Hf4 zenon_Hf6 zenon_Hf5 zenon_H1b6 zenon_H13 zenon_H1b5 zenon_H1b4 zenon_H1ac zenon_H1b3 zenon_H4c zenon_H10f zenon_H2b zenon_Hfc zenon_H1b2 zenon_H30 zenon_Hdf zenon_H167 zenon_H16b zenon_H168 zenon_H175 zenon_H2e zenon_H17c zenon_Hfa zenon_H55 zenon_Hb8 zenon_Hbe zenon_Hbd zenon_Hbb zenon_Hbc zenon_Hbf zenon_Hc0 zenon_H80 zenon_H72 zenon_H71 zenon_H6e zenon_H70 zenon_H60 zenon_H6b zenon_Hb5 zenon_Hb4 zenon_Haf zenon_Hab zenon_Ha5 zenon_Ha1 zenon_H84 zenon_H8d zenon_H8b zenon_H94 zenon_H9a zenon_Hb6 zenon_Hb7 zenon_Hf9 zenon_H3e zenon_H40 zenon_H3f zenon_H194.
% 19.63/19.86 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H16a | zenon_intro zenon_H2c ].
% 19.63/19.86 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H16c | zenon_intro zenon_H41 ].
% 19.63/19.86 apply (zenon_L123_); trivial.
% 19.63/19.86 apply (zenon_L8_); trivial.
% 19.63/19.86 apply zenon_H2c. apply sym_equal. exact zenon_H2b.
% 19.63/19.86 (* end of lemma zenon_L125_ *)
% 19.63/19.86 assert (zenon_L126_ : ((~((op2 (e21) (e23)) = (e21)))\/(~((op2 (e21) (e21)) = (e23)))) -> ((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e21) (e21)) = (e23)))) -> ((~((op2 (e23) (e20)) = (e23)))\/(~((op2 (e21) (e21)) = (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e21) (e21)) = (e21)))) -> ((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e21) (e21)) = (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23)))) -> ((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e23) (e23)) = (e21)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (e23))) -> ((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e20) (e20)) = (e22)))) -> ((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e20) (e20)) = (e21)))) -> (~((op2 (e20) (e20)) = (e22))) -> ((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e20) (e20)) = (e21)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e10) (e10)) = (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((e11) = (e12))) -> (~((e10) = (e11))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> ((e11) = (op1 (e13) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e11) (e11)) = (e12)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e11) (e11)) = (e13)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e13) (e13)) = (e13)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e11) (e11)) = (e10)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e11) (e11)) = (e12)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((e20) = (e22))) -> (~((op2 (e22) (e22)) = (e22))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((e20) = (e21))) -> (~((op2 (e21) (e21)) = (e21))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((e21) = (op2 (e23) (e23))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> (~((h4 (op1 (e11) (e12))) = (op2 (h4 (e11)) (h4 (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e20) (e20)) = (e20))) -> ((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e12) (e12)) = (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e12) (e12)) = (e13)))) -> ((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e10) (e10)) = (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e12) (e12)) = (e10)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10)))) -> ((~((op2 (e22) (e21)) = (e22)))\/(~((op2 (e23) (e23)) = (e21)))) -> ((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e20) (e20)) = (e23)))) -> ((~((op2 (e22) (e21)) = (e22)))\/(~((op2 (e20) (e20)) = (e21)))) -> False).
% 19.63/19.86 do 0 intro. intros zenon_H1cb zenon_H192 zenon_H50 zenon_H4b zenon_H4f zenon_H3d zenon_H2f zenon_H2d zenon_H1d zenon_H28 zenon_H47 zenon_H3e zenon_H41 zenon_H48 zenon_H51 zenon_H40 zenon_H54 zenon_Hf9 zenon_Hb7 zenon_Hb6 zenon_H9a zenon_H94 zenon_H8b zenon_H8d zenon_H84 zenon_Ha1 zenon_Ha5 zenon_Hab zenon_Haf zenon_Hb4 zenon_Hb5 zenon_H6b zenon_H60 zenon_H70 zenon_H6e zenon_H71 zenon_H72 zenon_H80 zenon_Hc0 zenon_Hbf zenon_Hbc zenon_Hbb zenon_Hbd zenon_Hbe zenon_Hb8 zenon_H55 zenon_Hfa zenon_H17c zenon_H2e zenon_H175 zenon_H168 zenon_H16b zenon_H167 zenon_Hdf zenon_H30 zenon_H1b2 zenon_Hfc zenon_H2b zenon_H10f zenon_H4c zenon_H1b3 zenon_H1ac zenon_H1b5 zenon_H13 zenon_H1b6 zenon_Hf5 zenon_Hf6 zenon_Hf4 zenon_He8 zenon_Hf3 zenon_Hf7 zenon_Hf8 zenon_H10b zenon_H193 zenon_H194 zenon_H196.
% 19.63/19.86 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H1b4 | zenon_intro zenon_H32 ].
% 19.63/19.86 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H16a | zenon_intro zenon_H3f ].
% 19.63/19.86 apply (zenon_L124_); trivial.
% 19.63/19.86 apply (zenon_L125_); trivial.
% 19.63/19.86 apply (zenon_L13_); trivial.
% 19.63/19.86 (* end of lemma zenon_L126_ *)
% 19.63/19.86 assert (zenon_L127_ : ((~((op2 (e21) (e23)) = (e21)))\/(~((op2 (e20) (e20)) = (e23)))) -> ((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e20) (e20)) = (e23)))) -> (~((op2 (e20) (e20)) = (e21))) -> (~((op2 (e20) (e20)) = (e22))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e10) (e10)) = (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((e11) = (e12))) -> (~((e10) = (e11))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> ((e11) = (op1 (e13) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e11) (e11)) = (e12)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e11) (e11)) = (e13)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e13) (e13)) = (e13)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e11) (e11)) = (e10)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e11) (e11)) = (e12)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((e20) = (e22))) -> (~((op2 (e22) (e22)) = (e22))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((e20) = (e21))) -> (~((op2 (e21) (e21)) = (e21))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((e21) = (op2 (e23) (e23))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> (~((h4 (op1 (e11) (e12))) = (op2 (h4 (e11)) (h4 (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e20) (e20)) = (e20))) -> ((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e12) (e12)) = (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e12) (e12)) = (e13)))) -> ((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e10) (e10)) = (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e12) (e12)) = (e10)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10)))) -> ((~((op2 (e22) (e21)) = (e22)))\/(~((op2 (e23) (e23)) = (e21)))) -> False).
% 19.63/19.86 do 0 intro. intros zenon_H1cc zenon_H194 zenon_H3f zenon_H40 zenon_H3e zenon_Hf9 zenon_Hb7 zenon_Hb6 zenon_H9a zenon_H94 zenon_H8b zenon_H8d zenon_H84 zenon_Ha1 zenon_Ha5 zenon_Hab zenon_Haf zenon_Hb4 zenon_Hb5 zenon_H6b zenon_H60 zenon_H70 zenon_H6e zenon_H71 zenon_H72 zenon_H80 zenon_Hc0 zenon_Hbf zenon_Hbc zenon_Hbb zenon_Hbd zenon_Hbe zenon_Hb8 zenon_H55 zenon_Hfa zenon_H17c zenon_H2e zenon_H175 zenon_H168 zenon_H16b zenon_H167 zenon_Hdf zenon_H30 zenon_H1b2 zenon_Hfc zenon_H2b zenon_H10f zenon_H4c zenon_H1b3 zenon_H1ac zenon_H1b5 zenon_H13 zenon_H1b6 zenon_Hf5 zenon_Hf6 zenon_Hf4 zenon_He8 zenon_Hf3 zenon_Hf7 zenon_Hf8 zenon_H10b zenon_H193.
% 19.63/19.86 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H1b4 | zenon_intro zenon_H41 ].
% 19.63/19.86 apply (zenon_L125_); trivial.
% 19.63/19.86 apply (zenon_L8_); trivial.
% 19.63/19.86 (* end of lemma zenon_L127_ *)
% 19.63/19.86 assert (zenon_L128_ : ((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e21) (e21)) = (e21)))) -> ((~((op2 (e22) (e21)) = (e22)))\/(~((op2 (e23) (e23)) = (e21)))) -> ((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e12) (e12)) = (e10)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e10) (e10)) = (e12)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e12) (e12)) = (e13)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e12) (e12)) = (e11)))) -> ((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))) -> (~((op2 (e20) (e20)) = (e20))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((h4 (op1 (e11) (e12))) = (op2 (h4 (e11)) (h4 (e12))))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((e20) = (e21))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((e20) = (e22))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e11) (e11)) = (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e11) (e11)) = (e10)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e13) (e13)) = (e13)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e11) (e11)) = (e13)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e11) (e11)) = (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e10) (e10)) = (e12)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (e22))) -> (~((op2 (e20) (e20)) = (e21))) -> ((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e20) (e20)) = (e23)))) -> ((~((op2 (e21) (e23)) = (e21)))\/(~((op2 (e20) (e20)) = (e23)))) -> False).
% 19.63/19.86 do 0 intro. intros zenon_H4f zenon_H193 zenon_H10b zenon_Hf8 zenon_Hf7 zenon_Hf3 zenon_He8 zenon_Hf4 zenon_Hf6 zenon_Hf5 zenon_H1b6 zenon_H13 zenon_H1b5 zenon_H1ac zenon_H1b3 zenon_H4c zenon_H10f zenon_H2b zenon_Hfc zenon_H1b2 zenon_Hdf zenon_H167 zenon_H16b zenon_H168 zenon_H175 zenon_H2e zenon_H17c zenon_Hfa zenon_H55 zenon_Hb8 zenon_Hbe zenon_Hbd zenon_Hbb zenon_Hbc zenon_Hbf zenon_Hc0 zenon_H80 zenon_H72 zenon_H71 zenon_H6e zenon_H70 zenon_H60 zenon_H6b zenon_Hb5 zenon_Hb4 zenon_Haf zenon_Hab zenon_Ha5 zenon_Ha1 zenon_H84 zenon_H8d zenon_H8b zenon_H94 zenon_H9a zenon_Hb6 zenon_Hb7 zenon_Hf9 zenon_H3e zenon_H40 zenon_H3f zenon_H194 zenon_H1cc.
% 19.63/19.86 apply (zenon_or_s _ _ zenon_H4f); [ zenon_intro zenon_H30 | zenon_intro zenon_H30 ].
% 19.63/19.86 apply (zenon_L127_); trivial.
% 19.63/19.86 apply (zenon_L127_); trivial.
% 19.63/19.86 (* end of lemma zenon_L128_ *)
% 19.63/19.86 assert (zenon_L129_ : ((~((op2 (e20) (e21)) = (e20)))\/(~((op2 (e20) (e20)) = (e21)))) -> ((~((op2 (e20) (e21)) = (e20)))\/(~((op2 (e23) (e23)) = (e21)))) -> ((~((op2 (e20) (e21)) = (e20)))\/(~((op2 (e21) (e21)) = (e21)))) -> ((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e20) (e20)) = (e21)))) -> ((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e20) (e20)) = (e23)))) -> ((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e21) (e21)) = (e23)))) -> ((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e20) (e20)) = (e21)))) -> ((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e20) (e20)) = (e22)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e23) (e23)) = (e21)))) -> ((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> ((e21) = (op2 (e23) (e23))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e21) (e21)) = (e22)))) -> ((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e21) (e21)) = (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> ((~((op2 (e23) (e20)) = (e23)))\/(~((op2 (e21) (e21)) = (e20)))) -> (~((op2 (e20) (e20)) = (e20))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> ((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e21) (e21)) = (e22)))) -> ((~((op2 (e22) (e21)) = (e22)))\/(~((op2 (e20) (e20)) = (e21)))) -> ((~((op2 (e22) (e21)) = (e22)))\/(~((op2 (e23) (e23)) = (e21)))) -> ((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e12) (e12)) = (e10)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e10) (e10)) = (e12)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e12) (e12)) = (e13)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e12) (e12)) = (e11)))) -> ((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((h4 (op1 (e11) (e12))) = (op2 (h4 (e11)) (h4 (e12))))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((e20) = (e21))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((e20) = (e22))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e11) (e11)) = (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e11) (e11)) = (e10)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e13) (e13)) = (e13)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e11) (e11)) = (e13)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e11) (e11)) = (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e10) (e10)) = (e12)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e21) (e21)) = (e23)))) -> ((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e20) (e20)) = (e23)))) -> ((~((op2 (e21) (e23)) = (e21)))\/(~((op2 (e21) (e21)) = (e23)))) -> ((~((op2 (e21) (e23)) = (e21)))\/(~((op2 (e20) (e20)) = (e23)))) -> ((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e22) (e22)) = (e22)))) -> ((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e20) (e20)) = (e22)))) -> False).
% 19.63/19.86 do 0 intro. intros zenon_H10c zenon_H10d zenon_H127 zenon_H54 zenon_H53 zenon_H52 zenon_H51 zenon_H48 zenon_H3e zenon_H47 zenon_H28 zenon_H1d zenon_H2d zenon_H2b zenon_H2e zenon_H2f zenon_H3d zenon_H4f zenon_H4b zenon_H4c zenon_H50 zenon_H13 zenon_H12 zenon_H152 zenon_H196 zenon_H193 zenon_H10b zenon_Hf8 zenon_Hf7 zenon_Hf3 zenon_He8 zenon_Hf4 zenon_Hf6 zenon_Hf5 zenon_H1b6 zenon_H1b5 zenon_H1ac zenon_H1b3 zenon_H10f zenon_Hfc zenon_H1b2 zenon_Hdf zenon_H167 zenon_H168 zenon_H175 zenon_H17c zenon_Hfa zenon_H55 zenon_Hb8 zenon_Hbe zenon_Hbd zenon_Hbb zenon_Hbc zenon_Hbf zenon_Hc0 zenon_H80 zenon_H72 zenon_H71 zenon_H6e zenon_H70 zenon_H60 zenon_H6b zenon_Hb5 zenon_Hb4 zenon_Haf zenon_Hab zenon_Ha5 zenon_Ha1 zenon_H84 zenon_H8d zenon_H8b zenon_H94 zenon_H9a zenon_Hb6 zenon_Hb7 zenon_Hf9 zenon_H192 zenon_H194 zenon_H1cb zenon_H1cc zenon_H195 zenon_H10e.
% 19.63/19.86 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_H14 | zenon_intro zenon_H3f ].
% 19.63/19.86 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H15 | zenon_intro zenon_H40 ].
% 19.63/19.86 apply (zenon_L17_); trivial.
% 19.63/19.86 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 19.63/19.86 apply (zenon_L78_); trivial.
% 19.63/19.86 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H15 | zenon_intro zenon_H16b ].
% 19.63/19.86 apply (zenon_L95_); trivial.
% 19.63/19.86 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H30 | zenon_intro zenon_H3f ].
% 19.63/19.86 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H1b4 | zenon_intro zenon_H41 ].
% 19.63/19.86 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H16a | zenon_intro zenon_H3f ].
% 19.63/19.86 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H16c | zenon_intro zenon_H41 ].
% 19.63/19.86 apply (zenon_L123_); trivial.
% 19.63/19.86 apply (zenon_L124_); trivial.
% 19.63/19.86 apply (zenon_L125_); trivial.
% 19.63/19.86 apply (zenon_L126_); trivial.
% 19.63/19.86 apply (zenon_L128_); trivial.
% 19.63/19.86 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H14 | zenon_intro zenon_H30 ].
% 19.63/19.86 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H15 | zenon_intro zenon_H40 ].
% 19.63/19.86 apply (zenon_L16_); trivial.
% 19.63/19.86 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 19.63/19.86 apply (zenon_L78_); trivial.
% 19.63/19.86 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H15 | zenon_intro zenon_H16b ].
% 19.63/19.86 apply (zenon_L95_); trivial.
% 19.63/19.86 apply (zenon_L128_); trivial.
% 19.63/19.86 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H14 | zenon_intro zenon_H2c ].
% 19.63/19.86 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H15 | zenon_intro zenon_H40 ].
% 19.63/19.86 apply (zenon_L17_); trivial.
% 19.63/19.86 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 19.63/19.86 apply (zenon_L78_); trivial.
% 19.63/19.86 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H15 | zenon_intro zenon_H16b ].
% 19.63/19.86 apply (zenon_L95_); trivial.
% 19.63/19.86 apply (zenon_L127_); trivial.
% 19.63/19.86 apply zenon_H2c. apply sym_equal. exact zenon_H2b.
% 19.63/19.86 (* end of lemma zenon_L129_ *)
% 19.63/19.86 assert (zenon_L130_ : (~((h4 (op1 (e11) (e13))) = (op2 (h4 (e11)) (h4 (e13))))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> ((op1 (e11) (e13)) = (e12)) -> ((op2 (e21) (e23)) = (e22)) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((e21) = (op2 (e23) (e23))) -> ((h4 (e13)) = (e23)) -> False).
% 19.63/19.86 do 0 intro. intros zenon_H1cd zenon_H10f zenon_H1ce zenon_H1cf zenon_H4c zenon_Hfc zenon_H2b zenon_H12b.
% 19.63/19.86 cut (((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) = ((h4 (op1 (e11) (e13))) = (op2 (h4 (e11)) (h4 (e13))))).
% 19.63/19.86 intro zenon_D_pnotp.
% 19.63/19.86 apply zenon_H1cd.
% 19.63/19.86 rewrite <- zenon_D_pnotp.
% 19.63/19.86 exact zenon_H10f.
% 19.63/19.86 cut (((op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23))) = (op2 (h4 (e11)) (h4 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H1d0].
% 19.63/19.86 cut (((h4 (e12)) = (h4 (op1 (e11) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H1d1].
% 19.63/19.86 congruence.
% 19.63/19.86 elim (classic ((h4 (op1 (e11) (e13))) = (h4 (op1 (e11) (e13))))); [ zenon_intro zenon_H1d2 | zenon_intro zenon_H1d3 ].
% 19.63/19.86 cut (((h4 (op1 (e11) (e13))) = (h4 (op1 (e11) (e13)))) = ((h4 (e12)) = (h4 (op1 (e11) (e13))))).
% 19.63/19.86 intro zenon_D_pnotp.
% 19.63/19.86 apply zenon_H1d1.
% 19.63/19.86 rewrite <- zenon_D_pnotp.
% 19.63/19.86 exact zenon_H1d2.
% 19.63/19.86 cut (((h4 (op1 (e11) (e13))) = (h4 (op1 (e11) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H1d3].
% 19.63/19.86 cut (((h4 (op1 (e11) (e13))) = (h4 (e12)))); [idtac | apply NNPP; zenon_intro zenon_H1d4].
% 19.63/19.86 congruence.
% 19.63/19.86 cut (((op1 (e11) (e13)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H1d5].
% 19.63/19.86 congruence.
% 19.63/19.86 exact (zenon_H1d5 zenon_H1ce).
% 19.63/19.86 apply zenon_H1d3. apply refl_equal.
% 19.63/19.86 apply zenon_H1d3. apply refl_equal.
% 19.63/19.86 elim (classic ((op2 (h4 (e11)) (h4 (e13))) = (op2 (h4 (e11)) (h4 (e13))))); [ zenon_intro zenon_H1d6 | zenon_intro zenon_H1d7 ].
% 19.63/19.86 cut (((op2 (h4 (e11)) (h4 (e13))) = (op2 (h4 (e11)) (h4 (e13)))) = ((op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23))) = (op2 (h4 (e11)) (h4 (e13))))).
% 19.63/19.86 intro zenon_D_pnotp.
% 19.63/19.86 apply zenon_H1d0.
% 19.63/19.86 rewrite <- zenon_D_pnotp.
% 19.63/19.86 exact zenon_H1d6.
% 19.63/19.86 cut (((op2 (h4 (e11)) (h4 (e13))) = (op2 (h4 (e11)) (h4 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H1d7].
% 19.63/19.86 cut (((op2 (h4 (e11)) (h4 (e13))) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H1d8].
% 19.63/19.86 congruence.
% 19.63/19.86 cut (((op2 (e21) (e23)) = (e22)) = ((op2 (h4 (e11)) (h4 (e13))) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23))))).
% 19.63/19.86 intro zenon_D_pnotp.
% 19.63/19.86 apply zenon_H1d8.
% 19.63/19.86 rewrite <- zenon_D_pnotp.
% 19.63/19.86 exact zenon_H1cf.
% 19.63/19.86 cut (((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H1d9].
% 19.63/19.86 cut (((op2 (e21) (e23)) = (op2 (h4 (e11)) (h4 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H1da].
% 19.63/19.86 congruence.
% 19.63/19.86 elim (classic ((op2 (h4 (e11)) (h4 (e13))) = (op2 (h4 (e11)) (h4 (e13))))); [ zenon_intro zenon_H1d6 | zenon_intro zenon_H1d7 ].
% 19.63/19.86 cut (((op2 (h4 (e11)) (h4 (e13))) = (op2 (h4 (e11)) (h4 (e13)))) = ((op2 (e21) (e23)) = (op2 (h4 (e11)) (h4 (e13))))).
% 19.63/19.86 intro zenon_D_pnotp.
% 19.63/19.86 apply zenon_H1da.
% 19.63/19.86 rewrite <- zenon_D_pnotp.
% 19.63/19.86 exact zenon_H1d6.
% 19.63/19.86 cut (((op2 (h4 (e11)) (h4 (e13))) = (op2 (h4 (e11)) (h4 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H1d7].
% 19.63/19.86 cut (((op2 (h4 (e11)) (h4 (e13))) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H1db].
% 19.63/19.86 congruence.
% 19.63/19.86 cut (((h4 (e13)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H137].
% 19.63/19.86 cut (((h4 (e11)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H153].
% 19.63/19.86 congruence.
% 19.63/19.86 apply (zenon_L97_); trivial.
% 19.63/19.86 exact (zenon_H137 zenon_H12b).
% 19.63/19.86 apply zenon_H1d7. apply refl_equal.
% 19.63/19.86 apply zenon_H1d7. apply refl_equal.
% 19.63/19.86 exact (zenon_H1d9 zenon_H4c).
% 19.63/19.86 apply zenon_H1d7. apply refl_equal.
% 19.63/19.86 apply zenon_H1d7. apply refl_equal.
% 19.63/19.86 (* end of lemma zenon_L130_ *)
% 19.63/19.86 assert (zenon_L131_ : (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (op1 (e13) (e13)))) -> ((h4 (e13)) = (e23)) -> ((e21) = (op2 (e23) (e23))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e22)) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> (~((h4 (op1 (e11) (e13))) = (op2 (h4 (e11)) (h4 (e13))))) -> (~((op1 (e12) (e13)) = (e12))) -> (~((op1 (e13) (e13)) = (e12))) -> False).
% 19.63/19.86 do 0 intro. intros zenon_H1dc zenon_H94 zenon_H71 zenon_H6e zenon_H8b zenon_H12b zenon_H2b zenon_Hfc zenon_H4c zenon_H1cf zenon_H10f zenon_H1cd zenon_H159 zenon_H1dd.
% 19.63/19.86 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H93 | zenon_intro zenon_H1de ].
% 19.63/19.86 apply (zenon_L29_); trivial.
% 19.63/19.86 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H1ce | zenon_intro zenon_H1df ].
% 19.63/19.86 apply (zenon_L130_); trivial.
% 19.63/19.86 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H160 | zenon_intro zenon_H1e0 ].
% 19.63/19.86 exact (zenon_H159 zenon_H160).
% 19.63/19.86 exact (zenon_H1dd zenon_H1e0).
% 19.63/19.86 (* end of lemma zenon_L131_ *)
% 19.63/19.86 assert (zenon_L132_ : ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e10) (e10)) = (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((e11) = (e12))) -> (~((e10) = (e11))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> ((e11) = (op1 (e13) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e11) (e11)) = (e12)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e11) (e11)) = (e13)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e13) (e13)) = (e13)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e11) (e11)) = (e10)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e11) (e11)) = (e12)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e12) (e12)) = (e10)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e10) (e10)) = (e12)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e12) (e12)) = (e13)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e12) (e12)) = (e11)))) -> ((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e11) (e11)) = (e13)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((h4 (e13)) = (e23)) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> (~((h4 (op1 (e11) (e13))) = (op2 (h4 (e11)) (h4 (e13))))) -> (~((op2 (e22) (e23)) = (e22))) -> (~((op2 (e23) (e23)) = (e22))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e13) (e13)) = (e12)))) -> False).
% 19.63/19.86 do 0 intro. intros zenon_Hf9 zenon_Hb7 zenon_Hb6 zenon_H9a zenon_H94 zenon_H8b zenon_H8d zenon_H84 zenon_Ha1 zenon_Ha5 zenon_Hab zenon_Haf zenon_Hb4 zenon_Hb5 zenon_H6b zenon_H60 zenon_H70 zenon_H6e zenon_H71 zenon_H72 zenon_H80 zenon_Hc0 zenon_Hbf zenon_Hbc zenon_Hbb zenon_Hbd zenon_Hbe zenon_Hb8 zenon_H56 zenon_H55 zenon_Hfa zenon_Hf8 zenon_Hf7 zenon_Hf3 zenon_He8 zenon_Hf4 zenon_Hf6 zenon_Hf5 zenon_H17f zenon_Hd4 zenon_H4c zenon_H2e zenon_H2b zenon_H1dc zenon_Hfc zenon_H12b zenon_H10f zenon_H1cd zenon_H16c zenon_H1e1 zenon_H1e2 zenon_H1e3.
% 19.63/19.86 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H57 | zenon_intro zenon_Haa ].
% 19.63/19.86 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H58 | zenon_intro zenon_H9b ].
% 19.63/19.86 apply (zenon_L45_); trivial.
% 19.63/19.86 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H58 | zenon_intro zenon_H74 ].
% 19.63/19.86 apply (zenon_L48_); trivial.
% 19.63/19.86 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H58 | zenon_intro zenon_H1dd ].
% 19.63/19.86 apply (zenon_L96_); trivial.
% 19.63/19.86 apply (zenon_or_s _ _ zenon_H17f); [ zenon_intro zenon_H159 | zenon_intro zenon_H75 ].
% 19.63/19.86 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H1e4 ].
% 19.63/19.86 apply (zenon_L53_); trivial.
% 19.63/19.86 apply (zenon_or_s _ _ zenon_H1e4); [ zenon_intro zenon_H1cf | zenon_intro zenon_H1e5 ].
% 19.63/19.86 apply (zenon_L131_); trivial.
% 19.63/19.86 apply (zenon_or_s _ _ zenon_H1e5); [ zenon_intro zenon_H173 | zenon_intro zenon_H1e6 ].
% 19.63/19.86 exact (zenon_H16c zenon_H173).
% 19.63/19.86 exact (zenon_H1e1 zenon_H1e6).
% 19.63/19.86 apply (zenon_L66_); trivial.
% 19.63/19.86 apply (zenon_L65_); trivial.
% 19.63/19.86 (* end of lemma zenon_L132_ *)
% 19.63/19.86 assert (zenon_L133_ : ((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e13) (e13)) = (e12)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e23) (e23)) = (e22))) -> (~((op2 (e22) (e23)) = (e22))) -> (~((h4 (op1 (e11) (e13))) = (op2 (h4 (e11)) (h4 (e13))))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> ((h4 (e13)) = (e23)) -> ((h4 (e11)) = (op2 (e23) (e23))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((e21) = (op2 (e23) (e23))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e11) (e11)) = (e13)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e12) (e12)) = (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e12) (e12)) = (e13)))) -> ((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e10) (e10)) = (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e12) (e12)) = (e10)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e11) (e11)) = (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e11) (e11)) = (e10)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e13) (e13)) = (e13)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e11) (e11)) = (e13)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e11) (e11)) = (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e10) (e10)) = (e12)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11)))) -> False).
% 19.63/19.86 do 0 intro. intros zenon_H10b zenon_H1e3 zenon_H1e2 zenon_H1e1 zenon_H16c zenon_H1cd zenon_H10f zenon_H12b zenon_Hfc zenon_H1dc zenon_H2b zenon_H2e zenon_H4c zenon_Hd4 zenon_H17f zenon_Hf5 zenon_Hf6 zenon_Hf4 zenon_He8 zenon_Hf3 zenon_Hf7 zenon_Hf8 zenon_Hfa zenon_H55 zenon_Hb8 zenon_Hbe zenon_Hbd zenon_Hbb zenon_Hbc zenon_Hbf zenon_Hc0 zenon_H80 zenon_H72 zenon_H71 zenon_H6e zenon_H70 zenon_H60 zenon_H6b zenon_Hb5 zenon_Hb4 zenon_Haf zenon_Hab zenon_Ha5 zenon_Ha1 zenon_H84 zenon_H8d zenon_H8b zenon_H94 zenon_H9a zenon_Hb6 zenon_Hb7 zenon_Hf9.
% 19.63/19.86 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_H56 | zenon_intro zenon_H56 ].
% 19.63/19.86 apply (zenon_L132_); trivial.
% 19.63/19.86 apply (zenon_L132_); trivial.
% 19.63/19.86 (* end of lemma zenon_L133_ *)
% 19.63/19.86 assert (zenon_L134_ : ((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e21) (e21)) = (e23)))) -> ((~((op2 (e23) (e20)) = (e23)))\/(~((op2 (e21) (e21)) = (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e21) (e21)) = (e21)))) -> ((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e21) (e21)) = (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23)))) -> ((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e23) (e23)) = (e21)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (e23))) -> (~((op2 (e20) (e20)) = (e20))) -> ((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e20) (e20)) = (e22)))) -> ((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e20) (e20)) = (e21)))) -> (~((op2 (e20) (e20)) = (e22))) -> ((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e20) (e20)) = (e21)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e10) (e10)) = (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((e11) = (e12))) -> (~((e10) = (e11))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> ((e11) = (op1 (e13) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e11) (e11)) = (e12)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e11) (e11)) = (e13)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e13) (e13)) = (e13)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e11) (e11)) = (e10)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e11) (e11)) = (e12)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e12) (e12)) = (e10)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e10) (e10)) = (e12)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e12) (e12)) = (e13)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e12) (e12)) = (e11)))) -> ((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e11) (e11)) = (e13)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((h4 (e13)) = (e23)) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> (~((h4 (op1 (e11) (e13))) = (op2 (h4 (e11)) (h4 (e13))))) -> (~((op2 (e23) (e23)) = (e22))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e13) (e13)) = (e12)))) -> ((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10)))) -> False).
% 19.63/19.86 do 0 intro. intros zenon_H192 zenon_H50 zenon_H4b zenon_H4f zenon_H3d zenon_H2f zenon_H2d zenon_H1d zenon_H28 zenon_H47 zenon_H3e zenon_H41 zenon_H13 zenon_H48 zenon_H51 zenon_H40 zenon_H54 zenon_Hf9 zenon_Hb7 zenon_Hb6 zenon_H9a zenon_H94 zenon_H8b zenon_H8d zenon_H84 zenon_Ha1 zenon_Ha5 zenon_Hab zenon_Haf zenon_Hb4 zenon_Hb5 zenon_H6b zenon_H60 zenon_H70 zenon_H6e zenon_H71 zenon_H72 zenon_H80 zenon_Hc0 zenon_Hbf zenon_Hbc zenon_Hbb zenon_Hbd zenon_Hbe zenon_Hb8 zenon_H55 zenon_Hfa zenon_Hf8 zenon_Hf7 zenon_Hf3 zenon_He8 zenon_Hf4 zenon_Hf6 zenon_Hf5 zenon_H17f zenon_Hd4 zenon_H4c zenon_H2e zenon_H2b zenon_H1dc zenon_Hfc zenon_H12b zenon_H10f zenon_H1cd zenon_H1e1 zenon_H1e2 zenon_H1e3 zenon_H10b.
% 19.63/19.86 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H16c | zenon_intro zenon_H32 ].
% 19.63/19.86 apply (zenon_L133_); trivial.
% 19.63/19.86 apply (zenon_L69_); trivial.
% 19.63/19.86 (* end of lemma zenon_L134_ *)
% 19.63/19.86 assert (zenon_L135_ : ((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e23) (e23)) = (e22)))) -> ((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e13) (e13)) = (e12)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((h4 (op1 (e11) (e13))) = (op2 (h4 (e11)) (h4 (e13))))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> ((h4 (e13)) = (e23)) -> ((h4 (e11)) = (op2 (e23) (e23))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e11) (e11)) = (e13)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e12) (e12)) = (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e12) (e12)) = (e13)))) -> ((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e10) (e10)) = (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e12) (e12)) = (e10)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e11) (e11)) = (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e11) (e11)) = (e10)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e13) (e13)) = (e13)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e11) (e11)) = (e13)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e11) (e11)) = (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e10) (e10)) = (e12)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11)))) -> (~((op2 (e20) (e20)) = (e22))) -> (~((op2 (e20) (e20)) = (e21))) -> ((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e20) (e20)) = (e23)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> (~((op2 (e20) (e21)) = (e20))) -> (~((op2 (e20) (e20)) = (e20))) -> ((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e20) (e20)) = (e21)))) -> ((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e20) (e20)) = (e23)))) -> ((~((op2 (e23) (e20)) = (e23)))\/(~((op2 (e21) (e21)) = (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> ((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e20) (e20)) = (e22)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23)))) -> ((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e23) (e23)) = (e21)))) -> ((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e21) (e21)) = (e23)))) -> ((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e21) (e21)) = (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e21) (e21)) = (e22))) -> (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> False).
% 19.63/19.86 do 0 intro. intros zenon_H1e7 zenon_H10b zenon_H1e3 zenon_H1e2 zenon_H1cd zenon_H10f zenon_H12b zenon_Hfc zenon_H1dc zenon_Hd4 zenon_H17f zenon_Hf5 zenon_Hf6 zenon_Hf4 zenon_He8 zenon_Hf3 zenon_Hf7 zenon_Hf8 zenon_Hfa zenon_H55 zenon_Hb8 zenon_Hbe zenon_Hbd zenon_Hbb zenon_Hbc zenon_Hbf zenon_Hc0 zenon_H80 zenon_H72 zenon_H71 zenon_H6e zenon_H70 zenon_H60 zenon_H6b zenon_Hb5 zenon_Hb4 zenon_Haf zenon_Hab zenon_Ha5 zenon_Ha1 zenon_H84 zenon_H8d zenon_H8b zenon_H94 zenon_H9a zenon_Hb6 zenon_Hb7 zenon_Hf9 zenon_H40 zenon_H3f zenon_H194 zenon_H12 zenon_H14 zenon_H13 zenon_H54 zenon_H53 zenon_H50 zenon_H4b zenon_H4c zenon_H48 zenon_H3e zenon_H1d zenon_H28 zenon_H47 zenon_H52 zenon_H4f zenon_H2f zenon_H2e zenon_H2b zenon_H31 zenon_H2d.
% 19.63/19.86 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H15 | zenon_intro zenon_H1e1 ].
% 19.63/19.86 apply (zenon_L95_); trivial.
% 19.63/19.86 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H16c | zenon_intro zenon_H41 ].
% 19.63/19.86 apply (zenon_L133_); trivial.
% 19.63/19.86 apply (zenon_L8_); trivial.
% 19.63/19.86 (* end of lemma zenon_L135_ *)
% 19.63/19.86 assert (zenon_L136_ : ((~((op2 (e20) (e21)) = (e20)))\/(~((op2 (e23) (e23)) = (e21)))) -> ((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e20) (e20)) = (e21)))) -> ((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e20) (e20)) = (e23)))) -> ((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e21) (e21)) = (e23)))) -> ((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e20) (e20)) = (e21)))) -> ((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e20) (e20)) = (e22)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e23) (e23)) = (e21)))) -> ((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> ((e21) = (op2 (e23) (e23))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e21) (e21)) = (e22)))) -> ((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e21) (e21)) = (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> ((~((op2 (e23) (e20)) = (e23)))\/(~((op2 (e21) (e21)) = (e20)))) -> (~((op2 (e20) (e20)) = (e20))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> ((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e21) (e21)) = (e22)))) -> ((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e20) (e20)) = (e23)))) -> (~((op2 (e20) (e20)) = (e21))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e10) (e10)) = (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((e11) = (e12))) -> (~((e10) = (e11))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> ((e11) = (op1 (e13) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e11) (e11)) = (e12)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e11) (e11)) = (e13)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e13) (e13)) = (e13)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e11) (e11)) = (e10)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e11) (e11)) = (e12)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e12) (e12)) = (e10)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e10) (e10)) = (e12)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e12) (e12)) = (e13)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e12) (e12)) = (e11)))) -> ((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e11) (e11)) = (e13)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((h4 (e13)) = (e23)) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> (~((h4 (op1 (e11) (e13))) = (op2 (h4 (e11)) (h4 (e13))))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e13) (e13)) = (e12)))) -> ((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10)))) -> ((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e23) (e23)) = (e22)))) -> ((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e20) (e20)) = (e22)))) -> False).
% 19.63/19.86 do 0 intro. intros zenon_H10d zenon_H54 zenon_H53 zenon_H52 zenon_H51 zenon_H48 zenon_H3e zenon_H47 zenon_H28 zenon_H1d zenon_H2d zenon_H2b zenon_H2e zenon_H2f zenon_H3d zenon_H4f zenon_H4b zenon_H4c zenon_H50 zenon_H13 zenon_H12 zenon_H152 zenon_H194 zenon_H3f zenon_Hf9 zenon_Hb7 zenon_Hb6 zenon_H9a zenon_H94 zenon_H8b zenon_H8d zenon_H84 zenon_Ha1 zenon_Ha5 zenon_Hab zenon_Haf zenon_Hb4 zenon_Hb5 zenon_H6b zenon_H60 zenon_H70 zenon_H6e zenon_H71 zenon_H72 zenon_H80 zenon_Hc0 zenon_Hbf zenon_Hbc zenon_Hbb zenon_Hbd zenon_Hbe zenon_Hb8 zenon_H55 zenon_Hfa zenon_Hf8 zenon_Hf7 zenon_Hf3 zenon_He8 zenon_Hf4 zenon_Hf6 zenon_Hf5 zenon_H17f zenon_Hd4 zenon_H1dc zenon_Hfc zenon_H12b zenon_H10f zenon_H1cd zenon_H1e2 zenon_H1e3 zenon_H10b zenon_H1e7 zenon_H10e.
% 19.63/19.86 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H14 | zenon_intro zenon_H2c ].
% 19.63/19.86 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H15 | zenon_intro zenon_H40 ].
% 19.63/19.86 apply (zenon_L17_); trivial.
% 19.63/19.86 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 19.63/19.86 apply (zenon_L78_); trivial.
% 19.63/19.86 apply (zenon_L135_); trivial.
% 19.63/19.86 apply zenon_H2c. apply sym_equal. exact zenon_H2b.
% 19.63/19.86 (* end of lemma zenon_L136_ *)
% 19.63/19.86 assert (zenon_L137_ : ((~((op2 (e20) (e21)) = (e20)))\/(~((op2 (e20) (e20)) = (e21)))) -> ((~((op2 (e20) (e21)) = (e20)))\/(~((op2 (e23) (e23)) = (e21)))) -> ((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e20) (e20)) = (e21)))) -> ((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e20) (e20)) = (e23)))) -> ((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e21) (e21)) = (e23)))) -> ((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e20) (e20)) = (e21)))) -> ((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e20) (e20)) = (e22)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e23) (e23)) = (e21)))) -> ((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> ((e21) = (op2 (e23) (e23))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e21) (e21)) = (e22)))) -> ((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e21) (e21)) = (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> ((~((op2 (e23) (e20)) = (e23)))\/(~((op2 (e21) (e21)) = (e20)))) -> (~((op2 (e20) (e20)) = (e20))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> ((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e21) (e21)) = (e22)))) -> ((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e20) (e20)) = (e23)))) -> ((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e21) (e21)) = (e23)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e10) (e10)) = (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((e11) = (e12))) -> (~((e10) = (e11))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> ((e11) = (op1 (e13) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e11) (e11)) = (e12)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e11) (e11)) = (e13)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e13) (e13)) = (e13)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e11) (e11)) = (e10)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e11) (e11)) = (e12)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e12) (e12)) = (e10)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e10) (e10)) = (e12)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e12) (e12)) = (e13)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e12) (e12)) = (e11)))) -> ((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e11) (e11)) = (e13)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((h4 (e13)) = (e23)) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> (~((h4 (op1 (e11) (e13))) = (op2 (h4 (e11)) (h4 (e13))))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e13) (e13)) = (e12)))) -> ((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10)))) -> ((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e23) (e23)) = (e22)))) -> ((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e20) (e20)) = (e22)))) -> False).
% 19.63/19.86 do 0 intro. intros zenon_H10c zenon_H10d zenon_H54 zenon_H53 zenon_H52 zenon_H51 zenon_H48 zenon_H3e zenon_H47 zenon_H28 zenon_H1d zenon_H2d zenon_H2b zenon_H2e zenon_H2f zenon_H3d zenon_H4f zenon_H4b zenon_H4c zenon_H50 zenon_H13 zenon_H12 zenon_H152 zenon_H194 zenon_H192 zenon_Hf9 zenon_Hb7 zenon_Hb6 zenon_H9a zenon_H94 zenon_H8b zenon_H8d zenon_H84 zenon_Ha1 zenon_Ha5 zenon_Hab zenon_Haf zenon_Hb4 zenon_Hb5 zenon_H6b zenon_H60 zenon_H70 zenon_H6e zenon_H71 zenon_H72 zenon_H80 zenon_Hc0 zenon_Hbf zenon_Hbc zenon_Hbb zenon_Hbd zenon_Hbe zenon_Hb8 zenon_H55 zenon_Hfa zenon_Hf8 zenon_Hf7 zenon_Hf3 zenon_He8 zenon_Hf4 zenon_Hf6 zenon_Hf5 zenon_H17f zenon_Hd4 zenon_H1dc zenon_Hfc zenon_H12b zenon_H10f zenon_H1cd zenon_H1e2 zenon_H1e3 zenon_H10b zenon_H1e7 zenon_H10e.
% 19.63/19.86 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_H14 | zenon_intro zenon_H3f ].
% 19.63/19.86 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H15 | zenon_intro zenon_H40 ].
% 19.63/19.86 apply (zenon_L17_); trivial.
% 19.63/19.86 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 19.63/19.86 apply (zenon_L78_); trivial.
% 19.63/19.86 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H15 | zenon_intro zenon_H1e1 ].
% 19.63/19.86 apply (zenon_L95_); trivial.
% 19.63/19.86 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H16c | zenon_intro zenon_H41 ].
% 19.63/19.86 apply (zenon_L133_); trivial.
% 19.63/19.86 apply (zenon_L134_); trivial.
% 19.63/19.86 apply (zenon_L136_); trivial.
% 19.63/19.86 (* end of lemma zenon_L137_ *)
% 19.63/19.86 assert (zenon_L138_ : (~((h4 (op1 (e12) (e10))) = (op2 (h4 (e12)) (h4 (e10))))) -> ((op1 (e12) (e10)) = (e12)) -> ((op2 (e22) (e20)) = (e22)) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> False).
% 19.63/19.86 do 0 intro. intros zenon_H1e8 zenon_H15b zenon_H16e zenon_H10f zenon_H4c zenon_Hc2 zenon_H2e.
% 19.63/19.86 cut (((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) = ((h4 (op1 (e12) (e10))) = (op2 (h4 (e12)) (h4 (e10))))).
% 19.63/19.86 intro zenon_D_pnotp.
% 19.63/19.86 apply zenon_H1e8.
% 19.63/19.86 rewrite <- zenon_D_pnotp.
% 19.63/19.86 exact zenon_H10f.
% 19.63/19.86 cut (((op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23))) = (op2 (h4 (e12)) (h4 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H1e9].
% 19.63/19.86 cut (((h4 (e12)) = (h4 (op1 (e12) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H1ea].
% 19.63/19.86 congruence.
% 19.63/19.86 elim (classic ((h4 (op1 (e12) (e10))) = (h4 (op1 (e12) (e10))))); [ zenon_intro zenon_H1eb | zenon_intro zenon_H1ec ].
% 19.63/19.86 cut (((h4 (op1 (e12) (e10))) = (h4 (op1 (e12) (e10)))) = ((h4 (e12)) = (h4 (op1 (e12) (e10))))).
% 19.63/19.86 intro zenon_D_pnotp.
% 19.63/19.86 apply zenon_H1ea.
% 19.63/19.86 rewrite <- zenon_D_pnotp.
% 19.63/19.86 exact zenon_H1eb.
% 19.63/19.86 cut (((h4 (op1 (e12) (e10))) = (h4 (op1 (e12) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H1ec].
% 19.63/19.86 cut (((h4 (op1 (e12) (e10))) = (h4 (e12)))); [idtac | apply NNPP; zenon_intro zenon_H1ed].
% 19.63/19.86 congruence.
% 19.63/19.86 cut (((op1 (e12) (e10)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H15d].
% 19.63/19.86 congruence.
% 19.63/19.86 exact (zenon_H15d zenon_H15b).
% 19.63/19.86 apply zenon_H1ec. apply refl_equal.
% 19.63/19.86 apply zenon_H1ec. apply refl_equal.
% 19.63/19.86 elim (classic ((op2 (h4 (e12)) (h4 (e10))) = (op2 (h4 (e12)) (h4 (e10))))); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1ef ].
% 19.63/19.86 cut (((op2 (h4 (e12)) (h4 (e10))) = (op2 (h4 (e12)) (h4 (e10)))) = ((op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23))) = (op2 (h4 (e12)) (h4 (e10))))).
% 19.63/19.86 intro zenon_D_pnotp.
% 19.63/19.86 apply zenon_H1e9.
% 19.63/19.86 rewrite <- zenon_D_pnotp.
% 19.63/19.86 exact zenon_H1ee.
% 19.63/19.86 cut (((op2 (h4 (e12)) (h4 (e10))) = (op2 (h4 (e12)) (h4 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H1ef].
% 19.63/19.87 cut (((op2 (h4 (e12)) (h4 (e10))) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H1f0].
% 19.63/19.87 congruence.
% 19.63/19.87 cut (((op2 (e22) (e20)) = (e22)) = ((op2 (h4 (e12)) (h4 (e10))) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23))))).
% 19.63/19.87 intro zenon_D_pnotp.
% 19.63/19.87 apply zenon_H1f0.
% 19.63/19.87 rewrite <- zenon_D_pnotp.
% 19.63/19.87 exact zenon_H16e.
% 19.63/19.87 cut (((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H1d9].
% 19.63/19.87 cut (((op2 (e22) (e20)) = (op2 (h4 (e12)) (h4 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H1f1].
% 19.63/19.87 congruence.
% 19.63/19.87 elim (classic ((op2 (h4 (e12)) (h4 (e10))) = (op2 (h4 (e12)) (h4 (e10))))); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1ef ].
% 19.63/19.87 cut (((op2 (h4 (e12)) (h4 (e10))) = (op2 (h4 (e12)) (h4 (e10)))) = ((op2 (e22) (e20)) = (op2 (h4 (e12)) (h4 (e10))))).
% 19.63/19.87 intro zenon_D_pnotp.
% 19.63/19.87 apply zenon_H1f1.
% 19.63/19.87 rewrite <- zenon_D_pnotp.
% 19.63/19.87 exact zenon_H1ee.
% 19.63/19.87 cut (((op2 (h4 (e12)) (h4 (e10))) = (op2 (h4 (e12)) (h4 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H1ef].
% 19.63/19.87 cut (((op2 (h4 (e12)) (h4 (e10))) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1f2].
% 19.63/19.87 congruence.
% 19.63/19.87 cut (((h4 (e10)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_Hc1].
% 19.63/19.87 cut (((h4 (e12)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H118].
% 19.63/19.87 congruence.
% 19.63/19.87 apply (zenon_L73_); trivial.
% 19.63/19.87 apply (zenon_L49_); trivial.
% 19.63/19.87 apply zenon_H1ef. apply refl_equal.
% 19.63/19.87 apply zenon_H1ef. apply refl_equal.
% 19.63/19.87 exact (zenon_H1d9 zenon_H4c).
% 19.63/19.87 apply zenon_H1ef. apply refl_equal.
% 19.63/19.87 apply zenon_H1ef. apply refl_equal.
% 19.63/19.87 (* end of lemma zenon_L138_ *)
% 19.63/19.87 assert (zenon_L139_ : (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> ((op2 (e22) (e20)) = (e22)) -> (~((h4 (op1 (e12) (e10))) = (op2 (h4 (e12)) (h4 (e10))))) -> (~((op1 (e12) (e11)) = (e12))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e13)) = (e12))) -> False).
% 19.63/19.87 do 0 intro. intros zenon_H155 zenon_H2e zenon_Hc2 zenon_H4c zenon_H10f zenon_H16e zenon_H1e8 zenon_H158 zenon_Heb zenon_H159.
% 19.63/19.87 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H15b | zenon_intro zenon_H15a ].
% 19.63/19.87 apply (zenon_L138_); trivial.
% 19.63/19.87 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H15f | zenon_intro zenon_H15e ].
% 19.63/19.87 exact (zenon_H158 zenon_H15f).
% 19.63/19.87 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hf2 | zenon_intro zenon_H160 ].
% 19.63/19.87 exact (zenon_Heb zenon_Hf2).
% 19.63/19.87 exact (zenon_H159 zenon_H160).
% 19.63/19.87 (* end of lemma zenon_L139_ *)
% 19.63/19.87 assert (zenon_L140_ : ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e10) (e10)) = (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((e11) = (e12))) -> (~((e10) = (e11))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> ((e11) = (op1 (e13) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e11) (e11)) = (e12)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e11) (e11)) = (e13)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e13) (e13)) = (e13)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e11) (e11)) = (e10)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e11) (e11)) = (e12)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e12) (e12)) = (e10)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e10) (e10)) = (e12)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e12) (e12)) = (e13)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e12) (e12)) = (e11)))) -> ((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e10) (e10)) = (e11)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e22) (e23)) = (e22))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e21)) = (e22))) -> (~((h4 (op1 (e12) (e10))) = (op2 (h4 (e12)) (h4 (e10))))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e11) (e11)) = (e13)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e12) (e12)) = (e12)))) -> False).
% 19.63/19.87 do 0 intro. intros zenon_Hf9 zenon_Hb7 zenon_Hb6 zenon_H9a zenon_H94 zenon_H8b zenon_H8d zenon_H84 zenon_Ha1 zenon_Ha5 zenon_Hab zenon_Haf zenon_Hb4 zenon_Hb5 zenon_H6b zenon_H60 zenon_H70 zenon_H6e zenon_H71 zenon_H72 zenon_H80 zenon_Hc0 zenon_Hbf zenon_Hbc zenon_Hbb zenon_Hbd zenon_Hbe zenon_Hb8 zenon_H56 zenon_H55 zenon_Hfa zenon_Hf8 zenon_Hf7 zenon_Hf3 zenon_He8 zenon_Hf4 zenon_Hf6 zenon_Hf5 zenon_H17b zenon_H167 zenon_H16c zenon_H16b zenon_H16a zenon_H1e8 zenon_H2e zenon_Hc2 zenon_H4c zenon_H10f zenon_H155 zenon_H17f zenon_H180.
% 19.63/19.87 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H57 | zenon_intro zenon_Haa ].
% 19.63/19.87 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H58 | zenon_intro zenon_H9b ].
% 19.63/19.87 apply (zenon_L45_); trivial.
% 19.63/19.87 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H58 | zenon_intro zenon_H74 ].
% 19.63/19.87 apply (zenon_L48_); trivial.
% 19.63/19.87 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H58 | zenon_intro zenon_Heb ].
% 19.63/19.87 apply (zenon_L96_); trivial.
% 19.63/19.87 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H158 | zenon_intro zenon_Haa ].
% 19.63/19.87 apply (zenon_or_s _ _ zenon_H17f); [ zenon_intro zenon_H159 | zenon_intro zenon_H75 ].
% 19.63/19.87 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H16e | zenon_intro zenon_H16d ].
% 19.63/19.87 apply (zenon_L139_); trivial.
% 19.63/19.87 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H172 | zenon_intro zenon_H171 ].
% 19.63/19.87 exact (zenon_H16a zenon_H172).
% 19.63/19.87 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H174 | zenon_intro zenon_H173 ].
% 19.63/19.87 exact (zenon_H16b zenon_H174).
% 19.63/19.87 exact (zenon_H16c zenon_H173).
% 19.63/19.87 apply (zenon_L66_); trivial.
% 19.63/19.87 apply (zenon_L43_); trivial.
% 19.63/19.87 apply (zenon_L65_); trivial.
% 19.63/19.87 (* end of lemma zenon_L140_ *)
% 19.63/19.87 assert (zenon_L141_ : ((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e12) (e12)) = (e12)))) -> ((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e11) (e11)) = (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> (~((h4 (op1 (e12) (e10))) = (op2 (h4 (e12)) (h4 (e10))))) -> (~((op2 (e22) (e21)) = (e22))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e23)) = (e22))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> ((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e12) (e12)) = (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e12) (e12)) = (e13)))) -> ((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e10) (e10)) = (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e12) (e12)) = (e10)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e11) (e11)) = (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e11) (e11)) = (e10)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e13) (e13)) = (e13)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e11) (e11)) = (e13)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e11) (e11)) = (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e10) (e10)) = (e12)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11)))) -> False).
% 19.63/19.87 do 0 intro. intros zenon_H10b zenon_H180 zenon_H17f zenon_H155 zenon_H10f zenon_H4c zenon_Hc2 zenon_H2e zenon_H1e8 zenon_H16a zenon_H16b zenon_H16c zenon_H167 zenon_H17b zenon_Hf5 zenon_Hf6 zenon_Hf4 zenon_He8 zenon_Hf3 zenon_Hf7 zenon_Hf8 zenon_Hfa zenon_H55 zenon_Hb8 zenon_Hbe zenon_Hbd zenon_Hbb zenon_Hbc zenon_Hbf zenon_Hc0 zenon_H80 zenon_H72 zenon_H71 zenon_H6e zenon_H70 zenon_H60 zenon_H6b zenon_Hb5 zenon_Hb4 zenon_Haf zenon_Hab zenon_Ha5 zenon_Ha1 zenon_H84 zenon_H8d zenon_H8b zenon_H94 zenon_H9a zenon_Hb6 zenon_Hb7 zenon_Hf9.
% 19.63/19.87 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_H56 | zenon_intro zenon_H56 ].
% 19.63/19.87 apply (zenon_L140_); trivial.
% 19.63/19.87 apply (zenon_L140_); trivial.
% 19.63/19.87 (* end of lemma zenon_L141_ *)
% 19.63/19.87 assert (zenon_L142_ : ((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e21) (e21)) = (e23)))) -> ((~((op2 (e23) (e20)) = (e23)))\/(~((op2 (e21) (e21)) = (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e21) (e21)) = (e21)))) -> ((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e21) (e21)) = (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((e21) = (op2 (e23) (e23))) -> (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23)))) -> ((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e23) (e23)) = (e21)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (e23))) -> (~((op2 (e20) (e20)) = (e20))) -> ((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e20) (e20)) = (e22)))) -> ((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e20) (e20)) = (e21)))) -> (~((op2 (e20) (e20)) = (e22))) -> ((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e20) (e20)) = (e21)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e10) (e10)) = (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((e11) = (e12))) -> (~((e10) = (e11))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> ((e11) = (op1 (e13) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e11) (e11)) = (e12)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e11) (e11)) = (e13)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e13) (e13)) = (e13)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e11) (e11)) = (e10)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e11) (e11)) = (e12)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e12) (e12)) = (e10)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e10) (e10)) = (e12)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e12) (e12)) = (e13)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e12) (e12)) = (e11)))) -> ((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e10) (e10)) = (e11)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e21)) = (e22))) -> (~((h4 (op1 (e12) (e10))) = (op2 (h4 (e12)) (h4 (e10))))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e11) (e11)) = (e13)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e12) (e12)) = (e12)))) -> ((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10)))) -> False).
% 19.63/19.87 do 0 intro. intros zenon_H192 zenon_H50 zenon_H4b zenon_H4f zenon_H3d zenon_H2f zenon_H2b zenon_H2d zenon_H1d zenon_H28 zenon_H47 zenon_H3e zenon_H41 zenon_H13 zenon_H48 zenon_H51 zenon_H40 zenon_H54 zenon_Hf9 zenon_Hb7 zenon_Hb6 zenon_H9a zenon_H94 zenon_H8b zenon_H8d zenon_H84 zenon_Ha1 zenon_Ha5 zenon_Hab zenon_Haf zenon_Hb4 zenon_Hb5 zenon_H6b zenon_H60 zenon_H70 zenon_H6e zenon_H71 zenon_H72 zenon_H80 zenon_Hc0 zenon_Hbf zenon_Hbc zenon_Hbb zenon_Hbd zenon_Hbe zenon_Hb8 zenon_H55 zenon_Hfa zenon_Hf8 zenon_Hf7 zenon_Hf3 zenon_He8 zenon_Hf4 zenon_Hf6 zenon_Hf5 zenon_H17b zenon_H167 zenon_H16b zenon_H16a zenon_H1e8 zenon_H2e zenon_Hc2 zenon_H4c zenon_H10f zenon_H155 zenon_H17f zenon_H180 zenon_H10b.
% 19.63/19.87 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H16c | zenon_intro zenon_H32 ].
% 19.63/19.87 apply (zenon_L141_); trivial.
% 19.63/19.87 apply (zenon_L69_); trivial.
% 19.63/19.87 (* end of lemma zenon_L142_ *)
% 19.63/19.87 assert (zenon_L143_ : ((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e20) (e20)) = (e23)))) -> (~((op2 (e20) (e20)) = (e21))) -> (~((op2 (e20) (e20)) = (e22))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((op2 (e20) (e21)) = (e20))) -> (~((op2 (e20) (e22)) = (e20))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> False).
% 19.63/19.87 do 0 intro. intros zenon_H53 zenon_H3f zenon_H40 zenon_H3e zenon_H13 zenon_H14 zenon_H15 zenon_H12.
% 19.63/19.87 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H16 | zenon_intro zenon_H41 ].
% 19.63/19.87 apply (zenon_L1_); trivial.
% 19.63/19.87 apply (zenon_L8_); trivial.
% 19.63/19.87 (* end of lemma zenon_L143_ *)
% 19.63/19.87 assert (zenon_L144_ : ((~((op2 (e22) (e21)) = (e22)))\/(~((op2 (e23) (e23)) = (e21)))) -> ((e21) = (op2 (e23) (e23))) -> ((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e12) (e12)) = (e12)))) -> ((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e11) (e11)) = (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> (~((h4 (op1 (e12) (e10))) = (op2 (h4 (e12)) (h4 (e10))))) -> (~((op2 (e22) (e22)) = (e22))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> ((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e12) (e12)) = (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e12) (e12)) = (e13)))) -> ((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e10) (e10)) = (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e12) (e12)) = (e10)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e11) (e11)) = (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e11) (e11)) = (e10)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e13) (e13)) = (e13)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e11) (e11)) = (e13)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e11) (e11)) = (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e10) (e10)) = (e12)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (e22))) -> (~((op2 (e20) (e20)) = (e21))) -> (~((op2 (e20) (e20)) = (e20))) -> ((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e20) (e20)) = (e23)))) -> False).
% 19.63/19.87 do 0 intro. intros zenon_H193 zenon_H2b zenon_H10b zenon_H180 zenon_H17f zenon_H155 zenon_H10f zenon_H4c zenon_Hc2 zenon_H2e zenon_H1e8 zenon_H16b zenon_H167 zenon_H17b zenon_Hf5 zenon_Hf6 zenon_Hf4 zenon_He8 zenon_Hf3 zenon_Hf7 zenon_Hf8 zenon_Hfa zenon_H55 zenon_Hb8 zenon_Hbe zenon_Hbd zenon_Hbb zenon_Hbc zenon_Hbf zenon_Hc0 zenon_H80 zenon_H72 zenon_H71 zenon_H6e zenon_H70 zenon_H60 zenon_H6b zenon_Hb5 zenon_Hb4 zenon_Haf zenon_Hab zenon_Ha5 zenon_Ha1 zenon_H84 zenon_H8d zenon_H8b zenon_H94 zenon_H9a zenon_Hb6 zenon_Hb7 zenon_Hf9 zenon_H3e zenon_H40 zenon_H3f zenon_H13 zenon_H194.
% 19.63/19.87 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H16a | zenon_intro zenon_H2c ].
% 19.63/19.87 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H16c | zenon_intro zenon_H41 ].
% 19.63/19.87 apply (zenon_L141_); trivial.
% 19.63/19.87 apply (zenon_L8_); trivial.
% 19.63/19.87 apply zenon_H2c. apply sym_equal. exact zenon_H2b.
% 19.63/19.87 (* end of lemma zenon_L144_ *)
% 19.63/19.87 assert (zenon_L145_ : ((~((op2 (e20) (e21)) = (e20)))\/(~((op2 (e23) (e23)) = (e21)))) -> ((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e20) (e20)) = (e21)))) -> ((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e20) (e20)) = (e23)))) -> ((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e21) (e21)) = (e23)))) -> ((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e20) (e20)) = (e21)))) -> ((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e20) (e20)) = (e22)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e23) (e23)) = (e21)))) -> ((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> ((e21) = (op2 (e23) (e23))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e21) (e21)) = (e22)))) -> ((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e21) (e21)) = (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> ((~((op2 (e23) (e20)) = (e23)))\/(~((op2 (e21) (e21)) = (e20)))) -> (~((op2 (e20) (e20)) = (e20))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> ((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e21) (e21)) = (e22)))) -> ((~((op2 (e22) (e21)) = (e22)))\/(~((op2 (e23) (e23)) = (e21)))) -> ((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e12) (e12)) = (e12)))) -> ((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e11) (e11)) = (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) -> (~((h4 (op1 (e12) (e10))) = (op2 (h4 (e12)) (h4 (e10))))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> ((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e12) (e12)) = (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e12) (e12)) = (e13)))) -> ((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e10) (e10)) = (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e12) (e12)) = (e10)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e11) (e11)) = (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e11) (e11)) = (e10)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e13) (e13)) = (e13)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e11) (e11)) = (e13)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e11) (e11)) = (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e10) (e10)) = (e12)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e20) (e20)) = (e23)))) -> ((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e22) (e22)) = (e22)))) -> (~((op2 (e20) (e20)) = (e21))) -> ((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e20) (e20)) = (e22)))) -> False).
% 19.63/19.87 do 0 intro. intros zenon_H10d zenon_H54 zenon_H53 zenon_H52 zenon_H51 zenon_H48 zenon_H3e zenon_H47 zenon_H28 zenon_H1d zenon_H2d zenon_H2b zenon_H2e zenon_H2f zenon_H3d zenon_H4f zenon_H4b zenon_H4c zenon_H50 zenon_H13 zenon_H12 zenon_H152 zenon_H193 zenon_H10b zenon_H180 zenon_H17f zenon_H155 zenon_H10f zenon_Hc2 zenon_H1e8 zenon_H167 zenon_H17b zenon_Hf5 zenon_Hf6 zenon_Hf4 zenon_He8 zenon_Hf3 zenon_Hf7 zenon_Hf8 zenon_Hfa zenon_H55 zenon_Hb8 zenon_Hbe zenon_Hbd zenon_Hbb zenon_Hbc zenon_Hbf zenon_Hc0 zenon_H80 zenon_H72 zenon_H71 zenon_H6e zenon_H70 zenon_H60 zenon_H6b zenon_Hb5 zenon_Hb4 zenon_Haf zenon_Hab zenon_Ha5 zenon_Ha1 zenon_H84 zenon_H8d zenon_H8b zenon_H94 zenon_H9a zenon_Hb6 zenon_Hb7 zenon_Hf9 zenon_H194 zenon_H195 zenon_H3f zenon_H10e.
% 19.63/19.87 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H14 | zenon_intro zenon_H2c ].
% 19.63/19.87 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H15 | zenon_intro zenon_H40 ].
% 19.63/19.87 apply (zenon_L17_); trivial.
% 19.63/19.87 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 19.63/19.87 apply (zenon_L143_); trivial.
% 19.63/19.87 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H15 | zenon_intro zenon_H16b ].
% 19.63/19.87 apply (zenon_L95_); trivial.
% 19.63/19.87 apply (zenon_L144_); trivial.
% 19.63/19.87 apply zenon_H2c. apply sym_equal. exact zenon_H2b.
% 19.63/19.87 (* end of lemma zenon_L145_ *)
% 19.63/19.87 assert (zenon_L146_ : ((~((op2 (e20) (e21)) = (e20)))\/(~((op2 (e20) (e20)) = (e21)))) -> ((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e20) (e20)) = (e21)))) -> ((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e20) (e20)) = (e23)))) -> ((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e21) (e21)) = (e23)))) -> ((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e20) (e20)) = (e21)))) -> ((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e20) (e20)) = (e22)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e23) (e23)) = (e21)))) -> ((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> ((e21) = (op2 (e23) (e23))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e21) (e21)) = (e22)))) -> ((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e21) (e21)) = (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> ((~((op2 (e23) (e20)) = (e23)))\/(~((op2 (e21) (e21)) = (e20)))) -> (~((op2 (e20) (e20)) = (e20))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> ((~((op2 (e22) (e21)) = (e22)))\/(~((op2 (e20) (e20)) = (e21)))) -> ((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e20) (e20)) = (e22)))) -> ((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e22) (e22)) = (e22)))) -> ((~((op2 (e22) (e21)) = (e22)))\/(~((op2 (e23) (e23)) = (e21)))) -> ((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e21) (e21)) = (e22)))) -> ((~((op2 (e20) (e21)) = (e20)))\/(~((op2 (e23) (e23)) = (e21)))) -> ((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e12) (e12)) = (e12)))) -> ((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e11) (e11)) = (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) -> (~((h4 (op1 (e12) (e10))) = (op2 (h4 (e12)) (h4 (e10))))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> ((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e12) (e12)) = (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e12) (e12)) = (e13)))) -> ((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e10) (e10)) = (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e12) (e12)) = (e10)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e11) (e11)) = (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e11) (e11)) = (e10)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e13) (e13)) = (e13)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e11) (e11)) = (e13)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e11) (e11)) = (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e10) (e10)) = (e12)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e21) (e21)) = (e23)))) -> ((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e20) (e20)) = (e23)))) -> False).
% 19.63/19.87 do 0 intro. intros zenon_H10c zenon_H54 zenon_H53 zenon_H52 zenon_H51 zenon_H48 zenon_H3e zenon_H47 zenon_H28 zenon_H1d zenon_H2d zenon_H2b zenon_H2e zenon_H2f zenon_H3d zenon_H4f zenon_H4b zenon_H4c zenon_H50 zenon_H13 zenon_H12 zenon_H196 zenon_H10e zenon_H195 zenon_H193 zenon_H152 zenon_H10d zenon_H10b zenon_H180 zenon_H17f zenon_H155 zenon_H10f zenon_Hc2 zenon_H1e8 zenon_H167 zenon_H17b zenon_Hf5 zenon_Hf6 zenon_Hf4 zenon_He8 zenon_Hf3 zenon_Hf7 zenon_Hf8 zenon_Hfa zenon_H55 zenon_Hb8 zenon_Hbe zenon_Hbd zenon_Hbb zenon_Hbc zenon_Hbf zenon_Hc0 zenon_H80 zenon_H72 zenon_H71 zenon_H6e zenon_H70 zenon_H60 zenon_H6b zenon_Hb5 zenon_Hb4 zenon_Haf zenon_Hab zenon_Ha5 zenon_Ha1 zenon_H84 zenon_H8d zenon_H8b zenon_H94 zenon_H9a zenon_Hb6 zenon_Hb7 zenon_Hf9 zenon_H192 zenon_H194.
% 19.63/19.87 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_H14 | zenon_intro zenon_H3f ].
% 19.63/19.87 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H15 | zenon_intro zenon_H40 ].
% 19.63/19.87 apply (zenon_L17_); trivial.
% 19.63/19.87 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 19.63/19.87 apply (zenon_L78_); trivial.
% 19.63/19.87 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H15 | zenon_intro zenon_H16b ].
% 19.63/19.87 apply (zenon_L95_); trivial.
% 19.63/19.87 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H16a | zenon_intro zenon_H3f ].
% 19.63/19.87 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H16c | zenon_intro zenon_H41 ].
% 19.63/19.87 apply (zenon_L141_); trivial.
% 19.63/19.87 apply (zenon_L142_); trivial.
% 19.63/19.87 apply (zenon_L145_); trivial.
% 19.63/19.87 apply (zenon_L145_); trivial.
% 19.63/19.87 (* end of lemma zenon_L146_ *)
% 19.63/19.87 assert (zenon_L147_ : ((h4 (e11)) = (op2 (e23) (e23))) -> ((op1 (e12) (e11)) = (e11)) -> ((e21) = (op2 (e23) (e23))) -> (~((e21) = (h4 (op1 (e12) (e11))))) -> False).
% 19.63/19.87 do 0 intro. intros zenon_Hfc zenon_H1f3 zenon_H2b zenon_H1f4.
% 19.63/19.87 elim (classic ((h4 (op1 (e12) (e11))) = (h4 (op1 (e12) (e11))))); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H1f6 ].
% 19.63/19.87 cut (((h4 (op1 (e12) (e11))) = (h4 (op1 (e12) (e11)))) = ((e21) = (h4 (op1 (e12) (e11))))).
% 19.63/19.87 intro zenon_D_pnotp.
% 19.63/19.87 apply zenon_H1f4.
% 19.63/19.87 rewrite <- zenon_D_pnotp.
% 19.63/19.87 exact zenon_H1f5.
% 19.63/19.87 cut (((h4 (op1 (e12) (e11))) = (h4 (op1 (e12) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H1f6].
% 19.63/19.87 cut (((h4 (op1 (e12) (e11))) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H1f7].
% 19.63/19.87 congruence.
% 19.63/19.87 cut (((h4 (e11)) = (op2 (e23) (e23))) = ((h4 (op1 (e12) (e11))) = (e21))).
% 19.63/19.87 intro zenon_D_pnotp.
% 19.63/19.87 apply zenon_H1f7.
% 19.63/19.87 rewrite <- zenon_D_pnotp.
% 19.63/19.87 exact zenon_Hfc.
% 19.63/19.87 cut (((op2 (e23) (e23)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H2c].
% 19.63/19.87 cut (((h4 (e11)) = (h4 (op1 (e12) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H1f8].
% 19.63/19.87 congruence.
% 19.63/19.87 elim (classic ((h4 (op1 (e12) (e11))) = (h4 (op1 (e12) (e11))))); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H1f6 ].
% 19.63/19.87 cut (((h4 (op1 (e12) (e11))) = (h4 (op1 (e12) (e11)))) = ((h4 (e11)) = (h4 (op1 (e12) (e11))))).
% 19.63/19.87 intro zenon_D_pnotp.
% 19.63/19.87 apply zenon_H1f8.
% 19.63/19.87 rewrite <- zenon_D_pnotp.
% 19.63/19.87 exact zenon_H1f5.
% 19.63/19.87 cut (((h4 (op1 (e12) (e11))) = (h4 (op1 (e12) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H1f6].
% 19.63/19.87 cut (((h4 (op1 (e12) (e11))) = (h4 (e11)))); [idtac | apply NNPP; zenon_intro zenon_H1f9].
% 19.63/19.87 congruence.
% 19.63/19.87 cut (((op1 (e12) (e11)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H1fa].
% 19.63/19.87 congruence.
% 19.63/19.87 exact (zenon_H1fa zenon_H1f3).
% 19.63/19.87 apply zenon_H1f6. apply refl_equal.
% 19.63/19.87 apply zenon_H1f6. apply refl_equal.
% 19.63/19.87 apply zenon_H2c. apply sym_equal. exact zenon_H2b.
% 19.63/19.87 apply zenon_H1f6. apply refl_equal.
% 19.63/19.87 apply zenon_H1f6. apply refl_equal.
% 19.63/19.87 (* end of lemma zenon_L147_ *)
% 19.63/19.87 assert (zenon_L148_ : (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> ((op1 (e13) (e11)) = (e11)) -> False).
% 19.63/19.87 do 0 intro. intros zenon_H1fb zenon_H6e zenon_H1fc.
% 19.63/19.87 cut (((e11) = (op1 (e13) (e13))) = ((op1 (e13) (e11)) = (op1 (e13) (e13)))).
% 19.63/19.87 intro zenon_D_pnotp.
% 19.63/19.87 apply zenon_H1fb.
% 19.63/19.87 rewrite <- zenon_D_pnotp.
% 19.63/19.87 exact zenon_H6e.
% 19.63/19.87 cut (((op1 (e13) (e13)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Ha7].
% 19.63/19.87 cut (((e11) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H1fd].
% 19.63/19.87 congruence.
% 19.63/19.87 elim (classic ((op1 (e13) (e11)) = (op1 (e13) (e11)))); [ zenon_intro zenon_H1fe | zenon_intro zenon_H1ff ].
% 19.63/19.87 cut (((op1 (e13) (e11)) = (op1 (e13) (e11))) = ((e11) = (op1 (e13) (e11)))).
% 19.63/19.87 intro zenon_D_pnotp.
% 19.63/19.87 apply zenon_H1fd.
% 19.63/19.87 rewrite <- zenon_D_pnotp.
% 19.63/19.87 exact zenon_H1fe.
% 19.63/19.87 cut (((op1 (e13) (e11)) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H1ff].
% 19.63/19.87 cut (((op1 (e13) (e11)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H200].
% 19.63/19.87 congruence.
% 19.63/19.87 exact (zenon_H200 zenon_H1fc).
% 19.63/19.87 apply zenon_H1ff. apply refl_equal.
% 19.63/19.87 apply zenon_H1ff. apply refl_equal.
% 19.63/19.87 apply zenon_Ha7. apply refl_equal.
% 19.63/19.87 (* end of lemma zenon_L148_ *)
% 19.63/19.87 assert (zenon_L149_ : (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> ((op2 (e23) (e21)) = (e21)) -> False).
% 19.63/19.87 do 0 intro. intros zenon_H201 zenon_H2b zenon_H202.
% 19.63/19.87 cut (((e21) = (op2 (e23) (e23))) = ((op2 (e23) (e21)) = (op2 (e23) (e23)))).
% 19.63/19.87 intro zenon_D_pnotp.
% 19.63/19.87 apply zenon_H201.
% 19.63/19.87 rewrite <- zenon_D_pnotp.
% 19.63/19.87 exact zenon_H2b.
% 19.63/19.87 cut (((op2 (e23) (e23)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_He5].
% 19.63/19.87 cut (((e21) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H203].
% 19.63/19.87 congruence.
% 19.63/19.87 elim (classic ((op2 (e23) (e21)) = (op2 (e23) (e21)))); [ zenon_intro zenon_H204 | zenon_intro zenon_H205 ].
% 19.63/19.87 cut (((op2 (e23) (e21)) = (op2 (e23) (e21))) = ((e21) = (op2 (e23) (e21)))).
% 19.63/19.87 intro zenon_D_pnotp.
% 19.63/19.87 apply zenon_H203.
% 19.63/19.87 rewrite <- zenon_D_pnotp.
% 19.63/19.87 exact zenon_H204.
% 19.63/19.87 cut (((op2 (e23) (e21)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H205].
% 19.63/19.87 cut (((op2 (e23) (e21)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H206].
% 19.63/19.87 congruence.
% 19.63/19.87 exact (zenon_H206 zenon_H202).
% 19.63/19.87 apply zenon_H205. apply refl_equal.
% 19.63/19.87 apply zenon_H205. apply refl_equal.
% 19.63/19.87 apply zenon_He5. apply refl_equal.
% 19.63/19.87 (* end of lemma zenon_L149_ *)
% 19.63/19.87 assert (zenon_L150_ : ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e10) (e10)) = (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((e11) = (e12))) -> (~((e10) = (e11))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> ((e11) = (op1 (e13) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e11) (e11)) = (e12)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e11) (e11)) = (e13)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e13) (e13)) = (e13)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e11) (e11)) = (e10)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e11) (e11)) = (e12)))) -> (~((op2 (e20) (e20)) = (e22))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e21) = (op2 (e23) (e23))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> (~((h4 (op1 (e12) (e11))) = (op2 (h4 (e12)) (h4 (e11))))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e12) (e12)) = (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e12) (e12)) = (e13)))) -> ((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e10) (e10)) = (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e12) (e12)) = (e10)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e11) (e11)) = (e11)))) -> False).
% 19.63/19.87 do 0 intro. intros zenon_Hf9 zenon_Hb7 zenon_Hb6 zenon_H9a zenon_H94 zenon_H8b zenon_H8d zenon_H84 zenon_Ha1 zenon_Ha5 zenon_Hab zenon_Haf zenon_Hb4 zenon_Hb5 zenon_H6b zenon_H60 zenon_H70 zenon_H6e zenon_H71 zenon_H72 zenon_H80 zenon_Hc0 zenon_Hbf zenon_Hbc zenon_Hbb zenon_Hbd zenon_Hbe zenon_Hb8 zenon_H56 zenon_H55 zenon_Hfa zenon_H40 zenon_H207 zenon_H201 zenon_H208 zenon_H1fb zenon_H2b zenon_Hfc zenon_H4c zenon_H10f zenon_H209 zenon_H30 zenon_Hc7 zenon_Hcd zenon_H2e zenon_Hd4 zenon_Hda zenon_Hf5 zenon_Hf6 zenon_Hf4 zenon_He8 zenon_Hf3 zenon_Hf7 zenon_Hf8.
% 19.63/19.87 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H57 | zenon_intro zenon_Haa ].
% 19.63/19.87 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H58 | zenon_intro zenon_H9b ].
% 19.63/19.87 apply (zenon_L45_); trivial.
% 19.63/19.87 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H58 | zenon_intro zenon_H74 ].
% 19.63/19.87 apply (zenon_L48_); trivial.
% 19.63/19.87 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H59 | zenon_intro zenon_H75 ].
% 19.63/19.87 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H73 | zenon_intro zenon_Haa ].
% 19.63/19.87 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H46 | zenon_intro zenon_Hdb ].
% 19.63/19.87 exact (zenon_H40 zenon_H46).
% 19.63/19.87 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hdc ].
% 19.63/19.87 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H20a ].
% 19.63/19.87 apply (zenon_L51_); trivial.
% 19.63/19.87 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_H3a | zenon_intro zenon_H20b ].
% 19.63/19.87 exact (zenon_H30 zenon_H3a).
% 19.63/19.87 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H20c | zenon_intro zenon_H202 ].
% 19.63/19.87 apply (zenon_or_s _ _ zenon_H9a); [ zenon_intro zenon_H9d | zenon_intro zenon_H9c ].
% 19.63/19.87 exact (zenon_H9b zenon_H9d).
% 19.63/19.87 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H83 | zenon_intro zenon_H9e ].
% 19.63/19.87 apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H82 | zenon_intro zenon_H20d ].
% 19.63/19.87 apply (zenon_L26_); trivial.
% 19.63/19.87 apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_H7d | zenon_intro zenon_H20e ].
% 19.63/19.87 exact (zenon_H73 zenon_H7d).
% 19.63/19.87 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H1fc ].
% 19.63/19.87 elim (classic ((op2 (h4 (e12)) (h4 (e11))) = (op2 (h4 (e12)) (h4 (e11))))); [ zenon_intro zenon_H20f | zenon_intro zenon_H210 ].
% 19.63/19.87 cut (((op2 (h4 (e12)) (h4 (e11))) = (op2 (h4 (e12)) (h4 (e11)))) = ((h4 (op1 (e12) (e11))) = (op2 (h4 (e12)) (h4 (e11))))).
% 19.63/19.87 intro zenon_D_pnotp.
% 19.63/19.87 apply zenon_H209.
% 19.63/19.87 rewrite <- zenon_D_pnotp.
% 19.63/19.87 exact zenon_H20f.
% 19.63/19.87 cut (((op2 (h4 (e12)) (h4 (e11))) = (op2 (h4 (e12)) (h4 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H210].
% 19.63/19.87 cut (((op2 (h4 (e12)) (h4 (e11))) = (h4 (op1 (e12) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H211].
% 19.63/19.87 congruence.
% 19.63/19.87 cut (((op2 (e22) (e21)) = (e21)) = ((op2 (h4 (e12)) (h4 (e11))) = (h4 (op1 (e12) (e11))))).
% 19.63/19.87 intro zenon_D_pnotp.
% 19.63/19.87 apply zenon_H211.
% 19.63/19.87 rewrite <- zenon_D_pnotp.
% 19.63/19.87 exact zenon_H20c.
% 19.63/19.87 cut (((e21) = (h4 (op1 (e12) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H1f4].
% 19.63/19.87 cut (((op2 (e22) (e21)) = (op2 (h4 (e12)) (h4 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H212].
% 19.63/19.87 congruence.
% 19.63/19.87 elim (classic ((op2 (h4 (e12)) (h4 (e11))) = (op2 (h4 (e12)) (h4 (e11))))); [ zenon_intro zenon_H20f | zenon_intro zenon_H210 ].
% 19.63/19.87 cut (((op2 (h4 (e12)) (h4 (e11))) = (op2 (h4 (e12)) (h4 (e11)))) = ((op2 (e22) (e21)) = (op2 (h4 (e12)) (h4 (e11))))).
% 19.63/19.87 intro zenon_D_pnotp.
% 19.63/19.87 apply zenon_H212.
% 19.63/19.87 rewrite <- zenon_D_pnotp.
% 19.63/19.87 exact zenon_H20f.
% 19.63/19.87 cut (((op2 (h4 (e12)) (h4 (e11))) = (op2 (h4 (e12)) (h4 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H210].
% 19.63/19.87 cut (((op2 (h4 (e12)) (h4 (e11))) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H213].
% 19.63/19.87 congruence.
% 19.63/19.87 cut (((h4 (e11)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H153].
% 19.63/19.87 cut (((h4 (e12)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H118].
% 19.63/19.87 congruence.
% 19.63/19.87 apply (zenon_L73_); trivial.
% 19.63/19.87 apply (zenon_L97_); trivial.
% 19.63/19.87 apply zenon_H210. apply refl_equal.
% 19.63/19.87 apply zenon_H210. apply refl_equal.
% 19.63/19.87 apply (zenon_L147_); trivial.
% 19.63/19.87 apply zenon_H210. apply refl_equal.
% 19.63/19.87 apply zenon_H210. apply refl_equal.
% 19.63/19.87 apply (zenon_L148_); trivial.
% 19.63/19.87 apply (zenon_or_s _ _ zenon_H9e); [ zenon_intro zenon_H8c | zenon_intro zenon_H93 ].
% 19.63/19.87 apply (zenon_L28_); trivial.
% 19.63/19.87 apply (zenon_L29_); trivial.
% 19.63/19.87 apply (zenon_L149_); trivial.
% 19.63/19.87 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hd3 ].
% 19.63/19.87 apply (zenon_L52_); trivial.
% 19.63/19.87 apply (zenon_L53_); trivial.
% 19.63/19.87 apply (zenon_L34_); trivial.
% 19.63/19.87 apply (zenon_L66_); trivial.
% 19.63/19.87 apply (zenon_L65_); trivial.
% 19.63/19.87 (* end of lemma zenon_L150_ *)
% 19.63/19.87 assert (zenon_L151_ : ((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e12) (e12)) = (e10)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e10) (e10)) = (e12)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e12) (e12)) = (e13)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e12) (e12)) = (e11)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((e21) = (e22))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((h4 (op1 (e12) (e11))) = (op2 (h4 (e12)) (h4 (e11))))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((e21) = (op2 (e23) (e23))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e20)) = (e22))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e11) (e11)) = (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e11) (e11)) = (e10)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e13) (e13)) = (e13)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e11) (e11)) = (e13)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e11) (e11)) = (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e10) (e10)) = (e12)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11)))) -> False).
% 19.63/19.87 do 0 intro. intros zenon_H10b zenon_Hf8 zenon_Hf7 zenon_Hf3 zenon_He8 zenon_Hf4 zenon_Hf6 zenon_Hf5 zenon_Hda zenon_Hd4 zenon_H2e zenon_Hcd zenon_Hc7 zenon_H30 zenon_H209 zenon_H10f zenon_H4c zenon_Hfc zenon_H2b zenon_H1fb zenon_H208 zenon_H201 zenon_H207 zenon_H40 zenon_Hfa zenon_H55 zenon_Hb8 zenon_Hbe zenon_Hbd zenon_Hbb zenon_Hbc zenon_Hbf zenon_Hc0 zenon_H80 zenon_H72 zenon_H71 zenon_H6e zenon_H70 zenon_H60 zenon_H6b zenon_Hb5 zenon_Hb4 zenon_Haf zenon_Hab zenon_Ha5 zenon_Ha1 zenon_H84 zenon_H8d zenon_H8b zenon_H94 zenon_H9a zenon_Hb6 zenon_Hb7 zenon_Hf9.
% 19.63/19.87 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_H56 | zenon_intro zenon_H56 ].
% 19.63/19.87 apply (zenon_L150_); trivial.
% 19.63/19.87 apply (zenon_L150_); trivial.
% 19.63/19.87 (* end of lemma zenon_L151_ *)
% 19.63/19.87 assert (zenon_L152_ : ((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e21) (e21)) = (e21)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e10) (e10)) = (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((e11) = (e12))) -> (~((e10) = (e11))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> ((e11) = (op1 (e13) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e11) (e11)) = (e12)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e11) (e11)) = (e13)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e13) (e13)) = (e13)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e11) (e11)) = (e10)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e11) (e11)) = (e12)))) -> (~((op2 (e20) (e20)) = (e22))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e21) = (op2 (e23) (e23))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> (~((h4 (op1 (e12) (e11))) = (op2 (h4 (e12)) (h4 (e11))))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e12) (e12)) = (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e12) (e12)) = (e13)))) -> ((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e10) (e10)) = (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e12) (e12)) = (e10)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10)))) -> False).
% 19.63/19.87 do 0 intro. intros zenon_H4f zenon_Hf9 zenon_Hb7 zenon_Hb6 zenon_H9a zenon_H94 zenon_H8b zenon_H8d zenon_H84 zenon_Ha1 zenon_Ha5 zenon_Hab zenon_Haf zenon_Hb4 zenon_Hb5 zenon_H6b zenon_H60 zenon_H70 zenon_H6e zenon_H71 zenon_H72 zenon_H80 zenon_Hc0 zenon_Hbf zenon_Hbc zenon_Hbb zenon_Hbd zenon_Hbe zenon_Hb8 zenon_H55 zenon_Hfa zenon_H40 zenon_H207 zenon_H201 zenon_H208 zenon_H1fb zenon_H2b zenon_Hfc zenon_H4c zenon_H10f zenon_H209 zenon_Hc7 zenon_Hcd zenon_H2e zenon_Hd4 zenon_Hda zenon_Hf5 zenon_Hf6 zenon_Hf4 zenon_He8 zenon_Hf3 zenon_Hf7 zenon_Hf8 zenon_H10b.
% 19.63/19.87 apply (zenon_or_s _ _ zenon_H4f); [ zenon_intro zenon_H30 | zenon_intro zenon_H30 ].
% 19.63/19.87 apply (zenon_L151_); trivial.
% 19.63/19.87 apply (zenon_L151_); trivial.
% 19.63/19.87 (* end of lemma zenon_L152_ *)
% 19.63/19.87 assert (zenon_L153_ : ((~((op2 (e20) (e21)) = (e20)))\/(~((op2 (e20) (e20)) = (e21)))) -> ((~((op2 (e20) (e21)) = (e20)))\/(~((op2 (e23) (e23)) = (e21)))) -> ((~((op2 (e20) (e21)) = (e20)))\/(~((op2 (e21) (e21)) = (e21)))) -> ((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e20) (e20)) = (e21)))) -> ((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e20) (e20)) = (e23)))) -> ((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e21) (e21)) = (e23)))) -> ((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e20) (e20)) = (e21)))) -> ((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e20) (e20)) = (e22)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e23) (e23)) = (e21)))) -> ((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> ((e21) = (op2 (e23) (e23))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e21) (e21)) = (e22)))) -> ((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e21) (e21)) = (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> ((~((op2 (e23) (e20)) = (e23)))\/(~((op2 (e21) (e21)) = (e20)))) -> (~((op2 (e20) (e20)) = (e20))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e10) (e10)) = (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((e11) = (e12))) -> (~((e10) = (e11))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> ((e11) = (op1 (e13) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e11) (e11)) = (e12)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e11) (e11)) = (e13)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e13) (e13)) = (e13)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e11) (e11)) = (e10)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e11) (e11)) = (e12)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> (~((h4 (op1 (e12) (e11))) = (op2 (h4 (e12)) (h4 (e11))))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e12) (e12)) = (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e12) (e12)) = (e13)))) -> ((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e10) (e10)) = (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e12) (e12)) = (e10)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10)))) -> ((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e20) (e20)) = (e22)))) -> False).
% 19.63/19.87 do 0 intro. intros zenon_H10c zenon_H10d zenon_H127 zenon_H54 zenon_H53 zenon_H52 zenon_H51 zenon_H48 zenon_H3e zenon_H47 zenon_H28 zenon_H1d zenon_H2d zenon_H2b zenon_H2e zenon_H2f zenon_H3d zenon_H4f zenon_H4b zenon_H4c zenon_H50 zenon_H13 zenon_H12 zenon_Hf9 zenon_Hb7 zenon_Hb6 zenon_H9a zenon_H94 zenon_H8b zenon_H8d zenon_H84 zenon_Ha1 zenon_Ha5 zenon_Hab zenon_Haf zenon_Hb4 zenon_Hb5 zenon_H6b zenon_H60 zenon_H70 zenon_H6e zenon_H71 zenon_H72 zenon_H80 zenon_Hc0 zenon_Hbf zenon_Hbc zenon_Hbb zenon_Hbd zenon_Hbe zenon_Hb8 zenon_H55 zenon_Hfa zenon_H207 zenon_H201 zenon_H208 zenon_H1fb zenon_Hfc zenon_H10f zenon_H209 zenon_Hc7 zenon_Hcd zenon_Hd4 zenon_Hda zenon_Hf5 zenon_Hf6 zenon_Hf4 zenon_He8 zenon_Hf3 zenon_Hf7 zenon_Hf8 zenon_H10b zenon_H10e.
% 19.63/19.87 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_H14 | zenon_intro zenon_H3f ].
% 19.63/19.87 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H15 | zenon_intro zenon_H40 ].
% 19.63/19.87 apply (zenon_L17_); trivial.
% 19.63/19.87 apply (zenon_L152_); trivial.
% 19.63/19.87 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H14 | zenon_intro zenon_H30 ].
% 19.63/19.87 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H15 | zenon_intro zenon_H40 ].
% 19.63/19.87 apply (zenon_L16_); trivial.
% 19.63/19.87 apply (zenon_L152_); trivial.
% 19.63/19.87 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H14 | zenon_intro zenon_H2c ].
% 19.63/19.87 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H15 | zenon_intro zenon_H40 ].
% 19.63/19.87 apply (zenon_L17_); trivial.
% 19.63/19.87 apply (zenon_L151_); trivial.
% 19.63/19.87 apply zenon_H2c. apply sym_equal. exact zenon_H2b.
% 19.63/19.87 (* end of lemma zenon_L153_ *)
% 19.63/19.87 assert (zenon_L154_ : (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e21) (e22)) = (e21)) -> ((op2 (e22) (e22)) = (e21)) -> False).
% 19.63/19.87 do 0 intro. intros zenon_H214 zenon_H1bb zenon_H215.
% 19.63/19.87 cut (((op2 (e21) (e22)) = (e21)) = ((op2 (e21) (e22)) = (op2 (e22) (e22)))).
% 19.63/19.87 intro zenon_D_pnotp.
% 19.63/19.87 apply zenon_H214.
% 19.63/19.87 rewrite <- zenon_D_pnotp.
% 19.63/19.87 exact zenon_H1bb.
% 19.63/19.87 cut (((e21) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H216].
% 19.63/19.87 cut (((op2 (e21) (e22)) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H217].
% 19.63/19.87 congruence.
% 19.63/19.87 apply zenon_H217. apply refl_equal.
% 19.63/19.87 apply zenon_H216. apply sym_equal. exact zenon_H215.
% 19.63/19.87 (* end of lemma zenon_L154_ *)
% 19.63/19.87 assert (zenon_L155_ : (~((op1 (e13) (e13)) = (op1 (e12) (e11)))) -> ((op1 (e10) (e10)) = (e11)) -> ((e11) = (op1 (e13) (e13))) -> ((op1 (e12) (e11)) = (e11)) -> False).
% 19.63/19.87 do 0 intro. intros zenon_H218 zenon_Had zenon_H6e zenon_H1f3.
% 19.63/19.87 cut (((op1 (e10) (e10)) = (e11)) = ((op1 (e13) (e13)) = (op1 (e12) (e11)))).
% 19.63/19.87 intro zenon_D_pnotp.
% 19.63/19.87 apply zenon_H218.
% 19.63/19.87 rewrite <- zenon_D_pnotp.
% 19.63/19.87 exact zenon_Had.
% 19.63/19.87 cut (((e11) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H219].
% 19.63/19.87 cut (((op1 (e10) (e10)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H1a9].
% 19.63/19.87 congruence.
% 19.63/19.87 elim (classic ((op1 (e13) (e13)) = (op1 (e13) (e13)))); [ zenon_intro zenon_H21a | zenon_intro zenon_Ha7 ].
% 19.63/19.87 cut (((op1 (e13) (e13)) = (op1 (e13) (e13))) = ((op1 (e10) (e10)) = (op1 (e13) (e13)))).
% 19.63/19.87 intro zenon_D_pnotp.
% 19.63/19.87 apply zenon_H1a9.
% 19.63/19.87 rewrite <- zenon_D_pnotp.
% 19.63/19.87 exact zenon_H21a.
% 19.63/19.87 cut (((op1 (e13) (e13)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Ha7].
% 19.63/19.87 cut (((op1 (e13) (e13)) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H1a6].
% 19.63/19.87 congruence.
% 19.63/19.87 apply (zenon_L120_); trivial.
% 19.63/19.87 apply zenon_Ha7. apply refl_equal.
% 19.63/19.87 apply zenon_Ha7. apply refl_equal.
% 19.63/19.87 apply zenon_H219. apply sym_equal. exact zenon_H1f3.
% 19.63/19.87 (* end of lemma zenon_L155_ *)
% 19.63/19.87 assert (zenon_L156_ : (~((op1 (e13) (e13)) = (op1 (e11) (e12)))) -> ((e11) = (op1 (e13) (e13))) -> ((op1 (e10) (e10)) = (e11)) -> ((op1 (e12) (e11)) = (e11)) -> ((op1 (e11) (e12)) = (e11)) -> False).
% 19.63/19.87 do 0 intro. intros zenon_H21b zenon_H6e zenon_Had zenon_H1f3 zenon_H1bf.
% 19.63/19.87 cut (((op1 (e12) (e11)) = (e11)) = ((op1 (e13) (e13)) = (op1 (e11) (e12)))).
% 19.63/19.87 intro zenon_D_pnotp.
% 19.63/19.87 apply zenon_H21b.
% 19.63/19.87 rewrite <- zenon_D_pnotp.
% 19.63/19.87 exact zenon_H1f3.
% 19.63/19.87 cut (((e11) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H21c].
% 19.63/19.87 cut (((op1 (e12) (e11)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H21d].
% 19.63/19.87 congruence.
% 19.63/19.87 elim (classic ((op1 (e13) (e13)) = (op1 (e13) (e13)))); [ zenon_intro zenon_H21a | zenon_intro zenon_Ha7 ].
% 19.63/19.87 cut (((op1 (e13) (e13)) = (op1 (e13) (e13))) = ((op1 (e12) (e11)) = (op1 (e13) (e13)))).
% 19.63/19.87 intro zenon_D_pnotp.
% 19.63/19.87 apply zenon_H21d.
% 19.63/19.87 rewrite <- zenon_D_pnotp.
% 19.63/19.87 exact zenon_H21a.
% 19.63/19.87 cut (((op1 (e13) (e13)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Ha7].
% 19.63/19.87 cut (((op1 (e13) (e13)) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H218].
% 19.63/19.87 congruence.
% 19.63/19.87 apply (zenon_L155_); trivial.
% 19.63/19.87 apply zenon_Ha7. apply refl_equal.
% 19.63/19.87 apply zenon_Ha7. apply refl_equal.
% 19.63/19.87 apply zenon_H21c. apply sym_equal. exact zenon_H1bf.
% 19.63/19.87 (* end of lemma zenon_L156_ *)
% 19.63/19.87 assert (zenon_L157_ : (~((h4 (op1 (e12) (e12))) = (op2 (h4 (e12)) (h4 (e12))))) -> ((h4 (e13)) = (e23)) -> ((op1 (e12) (e12)) = (e13)) -> ((op2 (e22) (e22)) = (e23)) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> False).
% 19.63/19.87 do 0 intro. intros zenon_H21e zenon_H12b zenon_Hf1 zenon_H21f zenon_H10f zenon_H4c.
% 19.63/19.87 cut (((h4 (e13)) = (e23)) = ((h4 (op1 (e12) (e12))) = (op2 (h4 (e12)) (h4 (e12))))).
% 19.63/19.87 intro zenon_D_pnotp.
% 19.63/19.87 apply zenon_H21e.
% 19.63/19.87 rewrite <- zenon_D_pnotp.
% 19.63/19.87 exact zenon_H12b.
% 19.63/19.87 cut (((e23) = (op2 (h4 (e12)) (h4 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H220].
% 19.63/19.87 cut (((h4 (e13)) = (h4 (op1 (e12) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H221].
% 19.63/19.87 congruence.
% 19.63/19.87 elim (classic ((h4 (op1 (e12) (e12))) = (h4 (op1 (e12) (e12))))); [ zenon_intro zenon_H222 | zenon_intro zenon_H223 ].
% 19.63/19.87 cut (((h4 (op1 (e12) (e12))) = (h4 (op1 (e12) (e12)))) = ((h4 (e13)) = (h4 (op1 (e12) (e12))))).
% 19.63/19.87 intro zenon_D_pnotp.
% 19.63/19.87 apply zenon_H221.
% 19.63/19.87 rewrite <- zenon_D_pnotp.
% 19.63/19.87 exact zenon_H222.
% 19.63/19.87 cut (((h4 (op1 (e12) (e12))) = (h4 (op1 (e12) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H223].
% 19.63/19.87 cut (((h4 (op1 (e12) (e12))) = (h4 (e13)))); [idtac | apply NNPP; zenon_intro zenon_H224].
% 19.63/19.87 congruence.
% 19.63/19.87 cut (((op1 (e12) (e12)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_Hec].
% 19.63/19.87 congruence.
% 19.63/19.87 exact (zenon_Hec zenon_Hf1).
% 19.63/19.88 apply zenon_H223. apply refl_equal.
% 19.63/19.88 apply zenon_H223. apply refl_equal.
% 19.63/19.88 elim (classic ((op2 (h4 (e12)) (h4 (e12))) = (op2 (h4 (e12)) (h4 (e12))))); [ zenon_intro zenon_H225 | zenon_intro zenon_H226 ].
% 19.63/19.88 cut (((op2 (h4 (e12)) (h4 (e12))) = (op2 (h4 (e12)) (h4 (e12)))) = ((e23) = (op2 (h4 (e12)) (h4 (e12))))).
% 19.63/19.88 intro zenon_D_pnotp.
% 19.63/19.88 apply zenon_H220.
% 19.63/19.88 rewrite <- zenon_D_pnotp.
% 19.63/19.88 exact zenon_H225.
% 19.63/19.88 cut (((op2 (h4 (e12)) (h4 (e12))) = (op2 (h4 (e12)) (h4 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H226].
% 19.63/19.88 cut (((op2 (h4 (e12)) (h4 (e12))) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H227].
% 19.63/19.88 congruence.
% 19.63/19.88 cut (((op2 (e22) (e22)) = (e23)) = ((op2 (h4 (e12)) (h4 (e12))) = (e23))).
% 19.63/19.88 intro zenon_D_pnotp.
% 19.63/19.88 apply zenon_H227.
% 19.63/19.88 rewrite <- zenon_D_pnotp.
% 19.63/19.88 exact zenon_H21f.
% 19.63/19.88 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H29].
% 19.63/19.88 cut (((op2 (e22) (e22)) = (op2 (h4 (e12)) (h4 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H228].
% 19.63/19.88 congruence.
% 19.63/19.88 elim (classic ((op2 (h4 (e12)) (h4 (e12))) = (op2 (h4 (e12)) (h4 (e12))))); [ zenon_intro zenon_H225 | zenon_intro zenon_H226 ].
% 19.63/19.88 cut (((op2 (h4 (e12)) (h4 (e12))) = (op2 (h4 (e12)) (h4 (e12)))) = ((op2 (e22) (e22)) = (op2 (h4 (e12)) (h4 (e12))))).
% 19.63/19.88 intro zenon_D_pnotp.
% 19.63/19.88 apply zenon_H228.
% 19.63/19.88 rewrite <- zenon_D_pnotp.
% 19.63/19.88 exact zenon_H225.
% 19.63/19.88 cut (((op2 (h4 (e12)) (h4 (e12))) = (op2 (h4 (e12)) (h4 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H226].
% 19.63/19.88 cut (((op2 (h4 (e12)) (h4 (e12))) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H229].
% 19.63/19.88 congruence.
% 19.63/19.88 cut (((h4 (e12)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H118].
% 19.63/19.88 cut (((h4 (e12)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H118].
% 19.63/19.88 congruence.
% 19.63/19.88 apply (zenon_L73_); trivial.
% 19.63/19.88 apply (zenon_L73_); trivial.
% 19.63/19.88 apply zenon_H226. apply refl_equal.
% 19.63/19.88 apply zenon_H226. apply refl_equal.
% 19.63/19.88 apply zenon_H29. apply refl_equal.
% 19.63/19.88 apply zenon_H226. apply refl_equal.
% 19.63/19.88 apply zenon_H226. apply refl_equal.
% 19.63/19.88 (* end of lemma zenon_L157_ *)
% 19.63/19.88 assert (zenon_L158_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (e10))) -> (~((op1 (e10) (e11)) = (e10))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (e12))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (op1 (e13) (e13)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e13)) = (e11))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e11) (e11)) = (e11))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> ((op2 (e22) (e22)) = (e23)) -> ((h4 (e13)) = (e23)) -> (~((h4 (op1 (e12) (e12))) = (op2 (h4 (e12)) (h4 (e12))))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (e10))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (e10))) -> False).
% 19.63/19.88 do 0 intro. intros zenon_H55 zenon_H56 zenon_H57 zenon_H6e zenon_Ha5 zenon_Ha1 zenon_H9a zenon_H9b zenon_H84 zenon_H8d zenon_H8b zenon_H71 zenon_H94 zenon_H1b7 zenon_H208 zenon_H73 zenon_H4c zenon_H10f zenon_H21f zenon_H12b zenon_H21e zenon_Heb zenon_H22a zenon_He9 zenon_He8 zenon_H1fb zenon_H1ac zenon_H1b2 zenon_Hab zenon_H59.
% 19.63/19.88 apply (zenon_or_s _ _ zenon_H55); [ zenon_intro zenon_H5b | zenon_intro zenon_H5a ].
% 19.63/19.88 exact (zenon_H56 zenon_H5b).
% 19.63/19.88 apply (zenon_or_s _ _ zenon_H5a); [ zenon_intro zenon_H5d | zenon_intro zenon_H5c ].
% 19.63/19.88 exact (zenon_H57 zenon_H5d).
% 19.63/19.88 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H5f | zenon_intro zenon_H5e ].
% 19.63/19.88 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_Had | zenon_intro zenon_Hac ].
% 19.63/19.88 apply (zenon_or_s _ _ zenon_H9a); [ zenon_intro zenon_H9d | zenon_intro zenon_H9c ].
% 19.63/19.88 exact (zenon_H9b zenon_H9d).
% 19.63/19.88 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H83 | zenon_intro zenon_H9e ].
% 19.63/19.88 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H1ab | zenon_intro zenon_H1bc ].
% 19.63/19.88 apply (zenon_L121_); trivial.
% 19.63/19.88 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H7d | zenon_intro zenon_H1bd ].
% 19.63/19.88 exact (zenon_H73 zenon_H7d).
% 19.63/19.88 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H1bf | zenon_intro zenon_H1be ].
% 19.63/19.88 apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H82 | zenon_intro zenon_H20d ].
% 19.63/19.88 apply (zenon_L26_); trivial.
% 19.63/19.88 apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_H7d | zenon_intro zenon_H20e ].
% 19.63/19.88 exact (zenon_H73 zenon_H7d).
% 19.63/19.88 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H1fc ].
% 19.63/19.88 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_Hee | zenon_intro zenon_Hed ].
% 19.63/19.88 exact (zenon_He9 zenon_Hee).
% 19.63/19.88 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Hf0 | zenon_intro zenon_Hef ].
% 19.63/19.88 elim (classic ((op1 (e12) (e12)) = (op1 (e12) (e12)))); [ zenon_intro zenon_H22b | zenon_intro zenon_H22c ].
% 19.63/19.88 cut (((op1 (e12) (e12)) = (op1 (e12) (e12))) = ((op1 (e11) (e12)) = (op1 (e12) (e12)))).
% 19.63/19.88 intro zenon_D_pnotp.
% 19.63/19.88 apply zenon_H22a.
% 19.63/19.88 rewrite <- zenon_D_pnotp.
% 19.63/19.88 exact zenon_H22b.
% 19.63/19.88 cut (((op1 (e12) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H22c].
% 19.63/19.88 cut (((op1 (e12) (e12)) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H22d].
% 19.63/19.88 congruence.
% 19.63/19.88 cut (((e11) = (op1 (e13) (e13))) = ((op1 (e12) (e12)) = (op1 (e11) (e12)))).
% 19.63/19.88 intro zenon_D_pnotp.
% 19.63/19.88 apply zenon_H22d.
% 19.63/19.88 rewrite <- zenon_D_pnotp.
% 19.63/19.88 exact zenon_H6e.
% 19.63/19.88 cut (((op1 (e13) (e13)) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H21b].
% 19.63/19.88 cut (((e11) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H22e].
% 19.63/19.88 congruence.
% 19.63/19.88 elim (classic ((op1 (e12) (e12)) = (op1 (e12) (e12)))); [ zenon_intro zenon_H22b | zenon_intro zenon_H22c ].
% 19.63/19.88 cut (((op1 (e12) (e12)) = (op1 (e12) (e12))) = ((e11) = (op1 (e12) (e12)))).
% 19.63/19.88 intro zenon_D_pnotp.
% 19.63/19.88 apply zenon_H22e.
% 19.63/19.88 rewrite <- zenon_D_pnotp.
% 19.63/19.88 exact zenon_H22b.
% 19.63/19.88 cut (((op1 (e12) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H22c].
% 19.63/19.88 cut (((op1 (e12) (e12)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_Hea].
% 19.63/19.88 congruence.
% 19.63/19.88 exact (zenon_Hea zenon_Hf0).
% 19.63/19.88 apply zenon_H22c. apply refl_equal.
% 19.63/19.88 apply zenon_H22c. apply refl_equal.
% 19.63/19.88 apply (zenon_L156_); trivial.
% 19.63/19.88 apply zenon_H22c. apply refl_equal.
% 19.63/19.88 apply zenon_H22c. apply refl_equal.
% 19.63/19.88 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hf2 | zenon_intro zenon_Hf1 ].
% 19.63/19.88 exact (zenon_Heb zenon_Hf2).
% 19.63/19.88 apply (zenon_L157_); trivial.
% 19.63/19.88 apply (zenon_L148_); trivial.
% 19.63/19.88 exact (zenon_H1b7 zenon_H1be).
% 19.63/19.88 apply (zenon_or_s _ _ zenon_H9e); [ zenon_intro zenon_H8c | zenon_intro zenon_H93 ].
% 19.63/19.88 apply (zenon_L28_); trivial.
% 19.63/19.88 apply (zenon_L29_); trivial.
% 19.63/19.88 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H82 | zenon_intro zenon_Hae ].
% 19.63/19.88 apply (zenon_L30_); trivial.
% 19.63/19.88 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_Ha0 | zenon_intro zenon_Ha6 ].
% 19.63/19.88 apply (zenon_L32_); trivial.
% 19.63/19.88 apply (zenon_L33_); trivial.
% 19.63/19.88 exact (zenon_H59 zenon_H5e).
% 19.63/19.88 (* end of lemma zenon_L158_ *)
% 19.63/19.88 assert (zenon_L159_ : (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((op2 (e21) (e23)) = (e21))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (e20))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (e10))) -> (~((op1 (e10) (e11)) = (e10))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (e12))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (op1 (e13) (e13)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e13)) = (e11))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e11) (e11)) = (e11))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> ((h4 (e13)) = (e23)) -> (~((h4 (op1 (e12) (e12))) = (op2 (h4 (e12)) (h4 (e12))))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (e10))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (e10))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((e20) = (e21))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e22) (e23)) = (e22))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e21)) = (e22))) -> (~((e20) = (e22))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> False).
% 19.63/19.88 do 0 intro. intros zenon_H17c zenon_H13 zenon_H1b4 zenon_H22f zenon_H230 zenon_H214 zenon_H55 zenon_H56 zenon_H57 zenon_H6e zenon_Ha5 zenon_Ha1 zenon_H9a zenon_H9b zenon_H84 zenon_H8d zenon_H8b zenon_H71 zenon_H94 zenon_H1b7 zenon_H208 zenon_H73 zenon_H4c zenon_H10f zenon_H12b zenon_H21e zenon_Heb zenon_H22a zenon_He9 zenon_He8 zenon_H1fb zenon_H1ac zenon_H1b2 zenon_Hab zenon_H59 zenon_H30 zenon_Hdf zenon_H1b5 zenon_H16c zenon_H16b zenon_H16a zenon_H168 zenon_H167 zenon_H175 zenon_H2e zenon_H2b.
% 19.63/19.88 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H18 | zenon_intro zenon_H181 ].
% 19.63/19.88 exact (zenon_H13 zenon_H18).
% 19.63/19.88 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H183 | zenon_intro zenon_H182 ].
% 19.63/19.88 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H1a4 | zenon_intro zenon_H1b8 ].
% 19.63/19.88 apply (zenon_L119_); trivial.
% 19.63/19.88 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H3a | zenon_intro zenon_H1b9 ].
% 19.63/19.88 exact (zenon_H30 zenon_H3a).
% 19.63/19.88 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H1bb | zenon_intro zenon_H1ba ].
% 19.63/19.88 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H232 | zenon_intro zenon_H231 ].
% 19.63/19.88 exact (zenon_H230 zenon_H232).
% 19.63/19.88 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_H215 | zenon_intro zenon_H233 ].
% 19.63/19.88 apply (zenon_L154_); trivial.
% 19.63/19.88 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H174 | zenon_intro zenon_H21f ].
% 19.63/19.88 exact (zenon_H16b zenon_H174).
% 19.63/19.88 apply (zenon_L158_); trivial.
% 19.63/19.88 exact (zenon_H1b4 zenon_H1ba).
% 19.63/19.88 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H169 | zenon_intro zenon_H176 ].
% 19.63/19.88 apply (zenon_L100_); trivial.
% 19.63/19.88 apply (zenon_L101_); trivial.
% 19.63/19.88 (* end of lemma zenon_L159_ *)
% 19.63/19.88 assert (zenon_L160_ : ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e10) (e10)) = (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((e11) = (e12))) -> (~((e10) = (e11))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> ((e11) = (op1 (e13) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e11) (e11)) = (e12)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e11) (e11)) = (e13)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e13) (e13)) = (e13)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e11) (e11)) = (e10)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e11) (e11)) = (e12)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e12) (e12)) = (e10)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e10) (e10)) = (e12)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e12) (e12)) = (e13)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e12) (e12)) = (e11)))) -> ((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))) -> ((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e10) (e10)) = (e11)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e11) (e11)) = (e13)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> ((e21) = (op2 (e23) (e23))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((e20) = (e22))) -> (~((op2 (e22) (e21)) = (e22))) -> (~((op2 (e22) (e23)) = (e22))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((e20) = (e21))) -> (~((op2 (e21) (e21)) = (e21))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> ((h4 (e13)) = (e23)) -> (~((h4 (op1 (e12) (e12))) = (op2 (h4 (e12)) (h4 (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (e20))) -> (~((op2 (e21) (e23)) = (e21))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e20) (e20)) = (e20))) -> ((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e12) (e12)) = (e12)))) -> False).
% 19.63/19.88 do 0 intro. intros zenon_Hf9 zenon_Hb7 zenon_Hb6 zenon_H9a zenon_H94 zenon_H8b zenon_H8d zenon_H84 zenon_Ha1 zenon_Ha5 zenon_Hab zenon_Haf zenon_Hb4 zenon_Hb5 zenon_H6b zenon_H60 zenon_H70 zenon_H6e zenon_H71 zenon_H72 zenon_H80 zenon_Hc0 zenon_Hbf zenon_Hbc zenon_Hbb zenon_Hbd zenon_Hbe zenon_Hb8 zenon_H56 zenon_H55 zenon_Hfa zenon_Hf8 zenon_Hf7 zenon_Hf3 zenon_He8 zenon_Hf4 zenon_Hf6 zenon_Hf5 zenon_H1b6 zenon_H17b zenon_H155 zenon_H17f zenon_H17c zenon_H2b zenon_H2e zenon_H175 zenon_H168 zenon_H16a zenon_H16c zenon_H167 zenon_Hdf zenon_H30 zenon_H22f zenon_H1b2 zenon_H10f zenon_H4c zenon_H12b zenon_H21e zenon_H22a zenon_H1fb zenon_H208 zenon_H1ac zenon_H16b zenon_H214 zenon_H230 zenon_H1b4 zenon_H1b5 zenon_H13 zenon_H234 zenon_H180.
% 19.63/19.88 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H57 | zenon_intro zenon_Haa ].
% 19.63/19.88 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H58 | zenon_intro zenon_H9b ].
% 19.63/19.88 apply (zenon_L45_); trivial.
% 19.63/19.88 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H58 | zenon_intro zenon_H74 ].
% 19.63/19.88 apply (zenon_L48_); trivial.
% 19.63/19.88 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H58 | zenon_intro zenon_Heb ].
% 19.63/19.88 apply (zenon_L96_); trivial.
% 19.63/19.88 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H59 | zenon_intro zenon_H75 ].
% 19.63/19.88 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H73 | zenon_intro zenon_Haa ].
% 19.63/19.88 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H75 ].
% 19.63/19.88 apply (zenon_or_s _ _ zenon_H234); [ zenon_intro zenon_H15d | zenon_intro zenon_He9 ].
% 19.63/19.88 apply (zenon_L110_); trivial.
% 19.63/19.88 apply (zenon_L159_); trivial.
% 19.63/19.88 apply (zenon_L66_); trivial.
% 19.63/19.88 apply (zenon_L65_); trivial.
% 19.63/19.88 apply (zenon_L66_); trivial.
% 19.63/19.88 apply (zenon_L65_); trivial.
% 19.63/19.88 (* end of lemma zenon_L160_ *)
% 19.63/19.88 assert (zenon_L161_ : ((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e12) (e12)) = (e12)))) -> ((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10)))) -> (~((op2 (e20) (e20)) = (e20))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e21) (e23)) = (e21))) -> (~((op2 (e22) (e22)) = (e20))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((h4 (op1 (e12) (e12))) = (op2 (h4 (e12)) (h4 (e12))))) -> ((h4 (e13)) = (e23)) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((e20) = (e21))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e22) (e23)) = (e22))) -> (~((op2 (e22) (e21)) = (e22))) -> (~((e20) = (e22))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> ((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e11) (e11)) = (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e12) (e12)) = (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e12) (e12)) = (e13)))) -> ((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e10) (e10)) = (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e12) (e12)) = (e10)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e11) (e11)) = (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e11) (e11)) = (e10)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e13) (e13)) = (e13)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e11) (e11)) = (e13)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e11) (e11)) = (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e10) (e10)) = (e12)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11)))) -> False).
% 19.63/19.88 do 0 intro. intros zenon_H10b zenon_H180 zenon_H234 zenon_H13 zenon_H1b5 zenon_H1b4 zenon_H230 zenon_H214 zenon_H16b zenon_H1ac zenon_H208 zenon_H1fb zenon_H22a zenon_H21e zenon_H12b zenon_H4c zenon_H10f zenon_H1b2 zenon_H22f zenon_H30 zenon_Hdf zenon_H167 zenon_H16c zenon_H16a zenon_H168 zenon_H175 zenon_H2e zenon_H2b zenon_H17c zenon_H17f zenon_H155 zenon_H17b zenon_H1b6 zenon_Hf5 zenon_Hf6 zenon_Hf4 zenon_He8 zenon_Hf3 zenon_Hf7 zenon_Hf8 zenon_Hfa zenon_H55 zenon_Hb8 zenon_Hbe zenon_Hbd zenon_Hbb zenon_Hbc zenon_Hbf zenon_Hc0 zenon_H80 zenon_H72 zenon_H71 zenon_H6e zenon_H70 zenon_H60 zenon_H6b zenon_Hb5 zenon_Hb4 zenon_Haf zenon_Hab zenon_Ha5 zenon_Ha1 zenon_H84 zenon_H8d zenon_H8b zenon_H94 zenon_H9a zenon_Hb6 zenon_Hb7 zenon_Hf9.
% 19.63/19.88 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_H56 | zenon_intro zenon_H56 ].
% 19.63/19.88 apply (zenon_L160_); trivial.
% 19.63/19.88 apply (zenon_L160_); trivial.
% 19.63/19.88 (* end of lemma zenon_L161_ *)
% 19.63/19.88 assert (zenon_L162_ : ((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e21) (e21)) = (e23)))) -> ((~((op2 (e23) (e20)) = (e23)))\/(~((op2 (e21) (e21)) = (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e21) (e21)) = (e21)))) -> ((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e21) (e21)) = (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23)))) -> ((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e23) (e23)) = (e21)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (e23))) -> ((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e20) (e20)) = (e22)))) -> ((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e20) (e20)) = (e21)))) -> (~((op2 (e20) (e20)) = (e22))) -> ((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e20) (e20)) = (e21)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e10) (e10)) = (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((e11) = (e12))) -> (~((e10) = (e11))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> ((e11) = (op1 (e13) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e11) (e11)) = (e12)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e11) (e11)) = (e13)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e13) (e13)) = (e13)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e11) (e11)) = (e10)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e11) (e11)) = (e12)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e12) (e12)) = (e10)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e10) (e10)) = (e12)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e12) (e12)) = (e13)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e12) (e12)) = (e11)))) -> ((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))) -> ((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e10) (e10)) = (e11)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e11) (e11)) = (e13)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> ((e21) = (op2 (e23) (e23))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((e20) = (e22))) -> (~((op2 (e22) (e21)) = (e22))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((e20) = (e21))) -> (~((op2 (e21) (e21)) = (e21))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> ((h4 (e13)) = (e23)) -> (~((h4 (op1 (e12) (e12))) = (op2 (h4 (e12)) (h4 (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (e20))) -> (~((op2 (e21) (e23)) = (e21))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e20) (e20)) = (e20))) -> ((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e12) (e12)) = (e12)))) -> ((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10)))) -> False).
% 19.63/19.88 do 0 intro. intros zenon_H192 zenon_H50 zenon_H4b zenon_H4f zenon_H3d zenon_H2f zenon_H2d zenon_H1d zenon_H28 zenon_H47 zenon_H3e zenon_H41 zenon_H48 zenon_H51 zenon_H40 zenon_H54 zenon_Hf9 zenon_Hb7 zenon_Hb6 zenon_H9a zenon_H94 zenon_H8b zenon_H8d zenon_H84 zenon_Ha1 zenon_Ha5 zenon_Hab zenon_Haf zenon_Hb4 zenon_Hb5 zenon_H6b zenon_H60 zenon_H70 zenon_H6e zenon_H71 zenon_H72 zenon_H80 zenon_Hc0 zenon_Hbf zenon_Hbc zenon_Hbb zenon_Hbd zenon_Hbe zenon_Hb8 zenon_H55 zenon_Hfa zenon_Hf8 zenon_Hf7 zenon_Hf3 zenon_He8 zenon_Hf4 zenon_Hf6 zenon_Hf5 zenon_H1b6 zenon_H17b zenon_H155 zenon_H17f zenon_H17c zenon_H2b zenon_H2e zenon_H175 zenon_H168 zenon_H16a zenon_H167 zenon_Hdf zenon_H30 zenon_H22f zenon_H1b2 zenon_H10f zenon_H4c zenon_H12b zenon_H21e zenon_H22a zenon_H1fb zenon_H208 zenon_H1ac zenon_H16b zenon_H214 zenon_H230 zenon_H1b4 zenon_H1b5 zenon_H13 zenon_H234 zenon_H180 zenon_H10b.
% 19.63/19.88 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H16c | zenon_intro zenon_H32 ].
% 19.63/19.88 apply (zenon_L161_); trivial.
% 19.63/19.88 apply (zenon_L69_); trivial.
% 19.63/19.88 (* end of lemma zenon_L162_ *)
% 19.63/19.88 assert (zenon_L163_ : ((~((op2 (e22) (e21)) = (e22)))\/(~((op2 (e23) (e23)) = (e21)))) -> ((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e12) (e12)) = (e12)))) -> ((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10)))) -> (~((op2 (e20) (e20)) = (e20))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e21) (e23)) = (e21))) -> (~((op2 (e22) (e22)) = (e20))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((h4 (op1 (e12) (e12))) = (op2 (h4 (e12)) (h4 (e12))))) -> ((h4 (e13)) = (e23)) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((e20) = (e21))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((e20) = (e22))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> ((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e11) (e11)) = (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e12) (e12)) = (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e12) (e12)) = (e13)))) -> ((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e10) (e10)) = (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e12) (e12)) = (e10)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e11) (e11)) = (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e11) (e11)) = (e10)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e13) (e13)) = (e13)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e11) (e11)) = (e13)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e11) (e11)) = (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e10) (e10)) = (e12)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (e22))) -> (~((op2 (e20) (e20)) = (e21))) -> ((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e20) (e20)) = (e23)))) -> False).
% 19.63/19.88 do 0 intro. intros zenon_H193 zenon_H10b zenon_H180 zenon_H234 zenon_H13 zenon_H1b5 zenon_H1b4 zenon_H230 zenon_H214 zenon_H16b zenon_H1ac zenon_H208 zenon_H1fb zenon_H22a zenon_H21e zenon_H12b zenon_H4c zenon_H10f zenon_H1b2 zenon_H22f zenon_H30 zenon_Hdf zenon_H167 zenon_H168 zenon_H175 zenon_H2e zenon_H2b zenon_H17c zenon_H17f zenon_H155 zenon_H17b zenon_H1b6 zenon_Hf5 zenon_Hf6 zenon_Hf4 zenon_He8 zenon_Hf3 zenon_Hf7 zenon_Hf8 zenon_Hfa zenon_H55 zenon_Hb8 zenon_Hbe zenon_Hbd zenon_Hbb zenon_Hbc zenon_Hbf zenon_Hc0 zenon_H80 zenon_H72 zenon_H71 zenon_H6e zenon_H70 zenon_H60 zenon_H6b zenon_Hb5 zenon_Hb4 zenon_Haf zenon_Hab zenon_Ha5 zenon_Ha1 zenon_H84 zenon_H8d zenon_H8b zenon_H94 zenon_H9a zenon_Hb6 zenon_Hb7 zenon_Hf9 zenon_H3e zenon_H40 zenon_H3f zenon_H194.
% 19.63/19.88 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H16a | zenon_intro zenon_H2c ].
% 19.63/19.88 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H16c | zenon_intro zenon_H41 ].
% 19.63/19.88 apply (zenon_L161_); trivial.
% 19.63/19.88 apply (zenon_L8_); trivial.
% 19.63/19.88 apply zenon_H2c. apply sym_equal. exact zenon_H2b.
% 19.63/19.88 (* end of lemma zenon_L163_ *)
% 19.63/19.88 assert (zenon_L164_ : ((~((op2 (e22) (e20)) = (e22)))\/(~((op2 (e22) (e22)) = (e20)))) -> ((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e20) (e20)) = (e23)))) -> (~((op2 (e20) (e20)) = (e21))) -> (~((op2 (e20) (e20)) = (e22))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e10) (e10)) = (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((e11) = (e12))) -> (~((e10) = (e11))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> ((e11) = (op1 (e13) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e11) (e11)) = (e12)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e11) (e11)) = (e13)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e13) (e13)) = (e13)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e11) (e11)) = (e10)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e11) (e11)) = (e12)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e12) (e12)) = (e10)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e10) (e10)) = (e12)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e12) (e12)) = (e13)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e12) (e12)) = (e11)))) -> ((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))) -> ((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e10) (e10)) = (e11)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e11) (e11)) = (e13)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((e20) = (e22))) -> (~((e20) = (e21))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> ((h4 (e13)) = (e23)) -> (~((h4 (op1 (e12) (e12))) = (op2 (h4 (e12)) (h4 (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e23)) = (e21))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e20) (e20)) = (e20))) -> ((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e12) (e12)) = (e12)))) -> ((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10)))) -> ((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e21) (e21)) = (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((op2 (e21) (e21)) = (e22))) -> (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> (~((op2 (e22) (e22)) = (e22))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> ((~((op2 (e22) (e21)) = (e22)))\/(~((op2 (e23) (e23)) = (e21)))) -> False).
% 19.63/19.88 do 0 intro. intros zenon_H235 zenon_H194 zenon_H3f zenon_H40 zenon_H3e zenon_Hf9 zenon_Hb7 zenon_Hb6 zenon_H9a zenon_H94 zenon_H8b zenon_H8d zenon_H84 zenon_Ha1 zenon_Ha5 zenon_Hab zenon_Haf zenon_Hb4 zenon_Hb5 zenon_H6b zenon_H60 zenon_H70 zenon_H6e zenon_H71 zenon_H72 zenon_H80 zenon_Hc0 zenon_Hbf zenon_Hbc zenon_Hbb zenon_Hbd zenon_Hbe zenon_Hb8 zenon_H55 zenon_Hfa zenon_Hf8 zenon_Hf7 zenon_Hf3 zenon_He8 zenon_Hf4 zenon_Hf6 zenon_Hf5 zenon_H1b6 zenon_H17b zenon_H155 zenon_H17f zenon_H17c zenon_H175 zenon_H168 zenon_Hdf zenon_H22f zenon_H1b2 zenon_H10f zenon_H4c zenon_H12b zenon_H21e zenon_H22a zenon_H1fb zenon_H208 zenon_H1ac zenon_H214 zenon_H1b4 zenon_H1b5 zenon_H13 zenon_H234 zenon_H180 zenon_H10b zenon_H192 zenon_H2f zenon_H2e zenon_H2b zenon_H30 zenon_H31 zenon_H2d zenon_H16b zenon_H167 zenon_H193.
% 19.63/19.88 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H170 | zenon_intro zenon_H230 ].
% 19.63/19.88 apply (zenon_L109_); trivial.
% 19.63/19.88 apply (zenon_L163_); trivial.
% 19.63/19.88 (* end of lemma zenon_L164_ *)
% 19.63/19.88 assert (zenon_L165_ : ((~((op2 (e22) (e21)) = (e22)))\/(~((op2 (e20) (e20)) = (e21)))) -> ((~((op2 (e22) (e21)) = (e22)))\/(~((op2 (e23) (e23)) = (e21)))) -> (~((op2 (e21) (e21)) = (e22))) -> ((~((op2 (e22) (e20)) = (e22)))\/(~((op2 (e22) (e22)) = (e20)))) -> ((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e12) (e12)) = (e12)))) -> ((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10)))) -> (~((op2 (e20) (e20)) = (e20))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e21) (e23)) = (e21))) -> (~((op2 (e22) (e22)) = (e20))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((h4 (op1 (e12) (e12))) = (op2 (h4 (e12)) (h4 (e12))))) -> ((h4 (e13)) = (e23)) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((e20) = (e21))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((e20) = (e22))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> ((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e11) (e11)) = (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e12) (e12)) = (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e12) (e12)) = (e13)))) -> ((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e10) (e10)) = (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e12) (e12)) = (e10)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e11) (e11)) = (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e11) (e11)) = (e10)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e13) (e13)) = (e13)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e11) (e11)) = (e13)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e11) (e11)) = (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e10) (e10)) = (e12)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e21) (e21)) = (e23)))) -> ((~((op2 (e23) (e20)) = (e23)))\/(~((op2 (e21) (e21)) = (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e21) (e21)) = (e21)))) -> ((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e21) (e21)) = (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23)))) -> ((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e23) (e23)) = (e21)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> ((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e20) (e20)) = (e22)))) -> ((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e20) (e20)) = (e21)))) -> (~((op2 (e20) (e20)) = (e22))) -> ((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e20) (e20)) = (e21)))) -> ((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e20) (e20)) = (e23)))) -> False).
% 19.63/19.88 do 0 intro. intros zenon_H196 zenon_H193 zenon_H31 zenon_H235 zenon_H10b zenon_H180 zenon_H234 zenon_H13 zenon_H1b5 zenon_H1b4 zenon_H230 zenon_H214 zenon_H16b zenon_H1ac zenon_H208 zenon_H1fb zenon_H22a zenon_H21e zenon_H12b zenon_H4c zenon_H10f zenon_H1b2 zenon_H22f zenon_H30 zenon_Hdf zenon_H167 zenon_H168 zenon_H175 zenon_H2e zenon_H2b zenon_H17c zenon_H17f zenon_H155 zenon_H17b zenon_H1b6 zenon_Hf5 zenon_Hf6 zenon_Hf4 zenon_He8 zenon_Hf3 zenon_Hf7 zenon_Hf8 zenon_Hfa zenon_H55 zenon_Hb8 zenon_Hbe zenon_Hbd zenon_Hbb zenon_Hbc zenon_Hbf zenon_Hc0 zenon_H80 zenon_H72 zenon_H71 zenon_H6e zenon_H70 zenon_H60 zenon_H6b zenon_Hb5 zenon_Hb4 zenon_Haf zenon_Hab zenon_Ha5 zenon_Ha1 zenon_H84 zenon_H8d zenon_H8b zenon_H94 zenon_H9a zenon_Hb6 zenon_Hb7 zenon_Hf9 zenon_H192 zenon_H50 zenon_H4b zenon_H4f zenon_H3d zenon_H2f zenon_H2d zenon_H1d zenon_H28 zenon_H47 zenon_H3e zenon_H48 zenon_H51 zenon_H40 zenon_H54 zenon_H194.
% 19.63/19.88 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H16a | zenon_intro zenon_H3f ].
% 19.63/19.88 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H16c | zenon_intro zenon_H41 ].
% 19.63/19.88 apply (zenon_L161_); trivial.
% 19.63/19.88 apply (zenon_L162_); trivial.
% 19.63/19.88 apply (zenon_L164_); trivial.
% 19.63/19.88 (* end of lemma zenon_L165_ *)
% 19.63/19.88 assert (zenon_L166_ : ((~((op2 (e22) (e21)) = (e22)))\/(~((op2 (e20) (e20)) = (e21)))) -> ((~((op2 (e22) (e21)) = (e22)))\/(~((op2 (e23) (e23)) = (e21)))) -> (~((op2 (e21) (e21)) = (e22))) -> ((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e20) (e20)) = (e23)))) -> ((~((op2 (e22) (e20)) = (e22)))\/(~((op2 (e22) (e22)) = (e20)))) -> ((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e12) (e12)) = (e12)))) -> ((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10)))) -> (~((op2 (e20) (e20)) = (e20))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e21) (e23)) = (e21))) -> (~((op2 (e22) (e22)) = (e20))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((h4 (op1 (e12) (e12))) = (op2 (h4 (e12)) (h4 (e12))))) -> ((h4 (e13)) = (e23)) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((e20) = (e21))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((e20) = (e22))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> ((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e11) (e11)) = (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e12) (e12)) = (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e12) (e12)) = (e13)))) -> ((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e10) (e10)) = (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e12) (e12)) = (e10)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e11) (e11)) = (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e11) (e11)) = (e10)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e13) (e13)) = (e13)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e11) (e11)) = (e13)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e11) (e11)) = (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e10) (e10)) = (e12)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e20) (e20)) = (e21)))) -> (~((op2 (e20) (e20)) = (e22))) -> ((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e20) (e20)) = (e21)))) -> ((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e20) (e20)) = (e22)))) -> (~((op2 (e20) (e20)) = (e23))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e23) (e23)) = (e21)))) -> ((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e21) (e21)) = (e22)))) -> ((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e21) (e21)) = (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((~((op2 (e23) (e20)) = (e23)))\/(~((op2 (e21) (e21)) = (e20)))) -> ((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e21) (e21)) = (e23)))) -> False).
% 19.63/19.88 do 0 intro. intros zenon_H196 zenon_H193 zenon_H31 zenon_H194 zenon_H235 zenon_H10b zenon_H180 zenon_H234 zenon_H13 zenon_H1b5 zenon_H1b4 zenon_H230 zenon_H214 zenon_H16b zenon_H1ac zenon_H208 zenon_H1fb zenon_H22a zenon_H21e zenon_H12b zenon_H4c zenon_H10f zenon_H1b2 zenon_H22f zenon_H30 zenon_Hdf zenon_H167 zenon_H168 zenon_H175 zenon_H2e zenon_H2b zenon_H17c zenon_H17f zenon_H155 zenon_H17b zenon_H1b6 zenon_Hf5 zenon_Hf6 zenon_Hf4 zenon_He8 zenon_Hf3 zenon_Hf7 zenon_Hf8 zenon_Hfa zenon_H55 zenon_Hb8 zenon_Hbe zenon_Hbd zenon_Hbb zenon_Hbc zenon_Hbf zenon_Hc0 zenon_H80 zenon_H72 zenon_H71 zenon_H6e zenon_H70 zenon_H60 zenon_H6b zenon_Hb5 zenon_Hb4 zenon_Haf zenon_Hab zenon_Ha5 zenon_Ha1 zenon_H84 zenon_H8d zenon_H8b zenon_H94 zenon_H9a zenon_Hb6 zenon_Hb7 zenon_Hf9 zenon_H54 zenon_H40 zenon_H51 zenon_H48 zenon_H41 zenon_H3e zenon_H47 zenon_H28 zenon_H1d zenon_H2d zenon_H2f zenon_H3d zenon_H4f zenon_H4b zenon_H50 zenon_H192.
% 19.63/19.88 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H16a | zenon_intro zenon_H3f ].
% 19.63/19.88 apply (zenon_L162_); trivial.
% 19.63/19.88 apply (zenon_L164_); trivial.
% 19.63/19.88 (* end of lemma zenon_L166_ *)
% 19.63/19.88 assert (zenon_L167_ : ((~((op2 (e21) (e23)) = (e21)))\/(~((op2 (e21) (e21)) = (e23)))) -> ((~((op2 (e22) (e21)) = (e22)))\/(~((op2 (e23) (e23)) = (e21)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e22) (e22)) = (e22))) -> (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> (~((op2 (e21) (e21)) = (e22))) -> (~((op2 (e21) (e21)) = (e21))) -> ((e21) = (op2 (e23) (e23))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e21) (e21)) = (e23)))) -> ((~((op2 (e22) (e21)) = (e22)))\/(~((op2 (e20) (e20)) = (e21)))) -> ((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e20) (e20)) = (e23)))) -> ((~((op2 (e22) (e20)) = (e22)))\/(~((op2 (e22) (e22)) = (e20)))) -> ((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e12) (e12)) = (e12)))) -> ((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10)))) -> (~((op2 (e20) (e20)) = (e20))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((h4 (op1 (e12) (e12))) = (op2 (h4 (e12)) (h4 (e12))))) -> ((h4 (e13)) = (e23)) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((e20) = (e21))) -> (~((e20) = (e22))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> ((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e11) (e11)) = (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e12) (e12)) = (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e12) (e12)) = (e13)))) -> ((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e10) (e10)) = (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e12) (e12)) = (e10)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e11) (e11)) = (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e11) (e11)) = (e10)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e13) (e13)) = (e13)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e11) (e11)) = (e13)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e11) (e11)) = (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e10) (e10)) = (e12)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e20) (e20)) = (e21)))) -> (~((op2 (e20) (e20)) = (e22))) -> ((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e20) (e20)) = (e21)))) -> ((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e20) (e20)) = (e22)))) -> (~((op2 (e20) (e20)) = (e23))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e23) (e23)) = (e21)))) -> ((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e21) (e21)) = (e22)))) -> ((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e21) (e21)) = (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((~((op2 (e23) (e20)) = (e23)))\/(~((op2 (e21) (e21)) = (e20)))) -> False).
% 19.63/19.88 do 0 intro. intros zenon_H1cb zenon_H193 zenon_H167 zenon_H16b zenon_H2d zenon_H31 zenon_H30 zenon_H2b zenon_H2e zenon_H2f zenon_H192 zenon_H196 zenon_H194 zenon_H235 zenon_H10b zenon_H180 zenon_H234 zenon_H13 zenon_H1b5 zenon_H214 zenon_H1ac zenon_H208 zenon_H1fb zenon_H22a zenon_H21e zenon_H12b zenon_H4c zenon_H10f zenon_H1b2 zenon_H22f zenon_Hdf zenon_H168 zenon_H175 zenon_H17c zenon_H17f zenon_H155 zenon_H17b zenon_H1b6 zenon_Hf5 zenon_Hf6 zenon_Hf4 zenon_He8 zenon_Hf3 zenon_Hf7 zenon_Hf8 zenon_Hfa zenon_H55 zenon_Hb8 zenon_Hbe zenon_Hbd zenon_Hbb zenon_Hbc zenon_Hbf zenon_Hc0 zenon_H80 zenon_H72 zenon_H71 zenon_H6e zenon_H70 zenon_H60 zenon_H6b zenon_Hb5 zenon_Hb4 zenon_Haf zenon_Hab zenon_Ha5 zenon_Ha1 zenon_H84 zenon_H8d zenon_H8b zenon_H94 zenon_H9a zenon_Hb6 zenon_Hb7 zenon_Hf9 zenon_H54 zenon_H40 zenon_H51 zenon_H48 zenon_H41 zenon_H3e zenon_H47 zenon_H28 zenon_H1d zenon_H3d zenon_H4f zenon_H4b zenon_H50.
% 19.63/19.88 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H1b4 | zenon_intro zenon_H32 ].
% 19.63/19.88 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H170 | zenon_intro zenon_H230 ].
% 19.63/19.88 apply (zenon_L109_); trivial.
% 19.63/19.88 apply (zenon_L166_); trivial.
% 19.63/19.88 apply (zenon_L6_); trivial.
% 19.63/19.88 (* end of lemma zenon_L167_ *)
% 19.63/19.88 assert (zenon_L168_ : ((~((op2 (e21) (e23)) = (e21)))\/(~((op2 (e20) (e20)) = (e23)))) -> ((~((op2 (e22) (e21)) = (e22)))\/(~((op2 (e23) (e23)) = (e21)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e22) (e22)) = (e22))) -> (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> (~((op2 (e21) (e21)) = (e22))) -> (~((op2 (e21) (e21)) = (e21))) -> ((e21) = (op2 (e23) (e23))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e21) (e21)) = (e23)))) -> ((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e12) (e12)) = (e12)))) -> ((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10)))) -> (~((op2 (e20) (e20)) = (e20))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((h4 (op1 (e12) (e12))) = (op2 (h4 (e12)) (h4 (e12))))) -> ((h4 (e13)) = (e23)) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((e20) = (e21))) -> (~((e20) = (e22))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> ((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e11) (e11)) = (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e12) (e12)) = (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e12) (e12)) = (e13)))) -> ((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e10) (e10)) = (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e12) (e12)) = (e10)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e11) (e11)) = (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e11) (e11)) = (e10)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e13) (e13)) = (e13)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e11) (e11)) = (e13)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e11) (e11)) = (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e10) (e10)) = (e12)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (e22))) -> (~((op2 (e20) (e20)) = (e21))) -> ((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e20) (e20)) = (e23)))) -> ((~((op2 (e22) (e20)) = (e22)))\/(~((op2 (e22) (e22)) = (e20)))) -> False).
% 19.63/19.88 do 0 intro. intros zenon_H1cc zenon_H193 zenon_H167 zenon_H16b zenon_H2d zenon_H31 zenon_H30 zenon_H2b zenon_H2e zenon_H2f zenon_H192 zenon_H10b zenon_H180 zenon_H234 zenon_H13 zenon_H1b5 zenon_H214 zenon_H1ac zenon_H208 zenon_H1fb zenon_H22a zenon_H21e zenon_H12b zenon_H4c zenon_H10f zenon_H1b2 zenon_H22f zenon_Hdf zenon_H168 zenon_H175 zenon_H17c zenon_H17f zenon_H155 zenon_H17b zenon_H1b6 zenon_Hf5 zenon_Hf6 zenon_Hf4 zenon_He8 zenon_Hf3 zenon_Hf7 zenon_Hf8 zenon_Hfa zenon_H55 zenon_Hb8 zenon_Hbe zenon_Hbd zenon_Hbb zenon_Hbc zenon_Hbf zenon_Hc0 zenon_H80 zenon_H72 zenon_H71 zenon_H6e zenon_H70 zenon_H60 zenon_H6b zenon_Hb5 zenon_Hb4 zenon_Haf zenon_Hab zenon_Ha5 zenon_Ha1 zenon_H84 zenon_H8d zenon_H8b zenon_H94 zenon_H9a zenon_Hb6 zenon_Hb7 zenon_Hf9 zenon_H3e zenon_H40 zenon_H3f zenon_H194 zenon_H235.
% 19.63/19.88 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H1b4 | zenon_intro zenon_H41 ].
% 19.63/19.88 apply (zenon_L164_); trivial.
% 19.63/19.88 apply (zenon_L8_); trivial.
% 19.63/19.88 (* end of lemma zenon_L168_ *)
% 19.63/19.88 assert (zenon_L169_ : ((~((op2 (e20) (e21)) = (e20)))\/(~((op2 (e21) (e21)) = (e21)))) -> ((~((op2 (e20) (e21)) = (e20)))\/(~((op2 (e23) (e23)) = (e21)))) -> ((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e21) (e21)) = (e21)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> (~((op2 (e20) (e20)) = (e20))) -> ((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e21) (e21)) = (e23)))) -> ((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e23) (e23)) = (e21)))) -> ((e21) = (op2 (e23) (e23))) -> ((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (e21))) -> ((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e20) (e20)) = (e22)))) -> (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((~((op2 (e23) (e20)) = (e23)))\/(~((op2 (e21) (e21)) = (e20)))) -> ((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e20) (e20)) = (e23)))) -> ((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e21) (e21)) = (e22)))) -> ((~((op2 (e22) (e20)) = (e22)))\/(~((op2 (e22) (e22)) = (e20)))) -> ((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e20) (e20)) = (e23)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e10) (e10)) = (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((e11) = (e12))) -> (~((e10) = (e11))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> ((e11) = (op1 (e13) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e11) (e11)) = (e12)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e11) (e11)) = (e13)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e13) (e13)) = (e13)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e11) (e11)) = (e10)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e11) (e11)) = (e12)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e12) (e12)) = (e10)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e10) (e10)) = (e12)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e12) (e12)) = (e13)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e12) (e12)) = (e11)))) -> ((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))) -> ((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e10) (e10)) = (e11)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e11) (e11)) = (e13)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((e20) = (e22))) -> (~((e20) = (e21))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> ((h4 (e13)) = (e23)) -> (~((h4 (op1 (e12) (e12))) = (op2 (h4 (e12)) (h4 (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e12) (e12)) = (e12)))) -> ((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10)))) -> ((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e21) (e21)) = (e23)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> ((~((op2 (e22) (e21)) = (e22)))\/(~((op2 (e23) (e23)) = (e21)))) -> ((~((op2 (e21) (e23)) = (e21)))\/(~((op2 (e20) (e20)) = (e23)))) -> ((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e22) (e22)) = (e22)))) -> ((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e21) (e21)) = (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e20) (e20)) = (e21)))) -> ((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e20) (e20)) = (e21)))) -> ((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e20) (e20)) = (e22)))) -> False).
% 19.63/19.88 do 0 intro. intros zenon_H127 zenon_H10d zenon_H4f zenon_H12 zenon_H13 zenon_H52 zenon_H47 zenon_H2b zenon_H28 zenon_H1d zenon_H3e zenon_H3f zenon_H48 zenon_H2d zenon_H2e zenon_H4c zenon_H4b zenon_H50 zenon_H53 zenon_H152 zenon_H235 zenon_H194 zenon_Hf9 zenon_Hb7 zenon_Hb6 zenon_H9a zenon_H94 zenon_H8b zenon_H8d zenon_H84 zenon_Ha1 zenon_Ha5 zenon_Hab zenon_Haf zenon_Hb4 zenon_Hb5 zenon_H6b zenon_H60 zenon_H70 zenon_H6e zenon_H71 zenon_H72 zenon_H80 zenon_Hc0 zenon_Hbf zenon_Hbc zenon_Hbb zenon_Hbd zenon_Hbe zenon_Hb8 zenon_H55 zenon_Hfa zenon_Hf8 zenon_Hf7 zenon_Hf3 zenon_He8 zenon_Hf4 zenon_Hf6 zenon_Hf5 zenon_H1b6 zenon_H17b zenon_H155 zenon_H17f zenon_H17c zenon_H175 zenon_H168 zenon_Hdf zenon_H22f zenon_H1b2 zenon_H10f zenon_H12b zenon_H21e zenon_H22a zenon_H1fb zenon_H208 zenon_H1ac zenon_H214 zenon_H1b5 zenon_H234 zenon_H180 zenon_H10b zenon_H192 zenon_H167 zenon_H193 zenon_H1cc zenon_H195 zenon_H3d zenon_H2f zenon_H51 zenon_H54 zenon_H10e.
% 19.63/19.88 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H14 | zenon_intro zenon_H30 ].
% 19.63/19.88 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H15 | zenon_intro zenon_H40 ].
% 19.63/19.88 apply (zenon_L16_); trivial.
% 19.63/19.88 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 19.63/19.88 apply (zenon_L78_); trivial.
% 19.63/19.88 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H15 | zenon_intro zenon_H16b ].
% 19.63/19.88 apply (zenon_L95_); trivial.
% 19.63/19.88 apply (zenon_or_s _ _ zenon_H4f); [ zenon_intro zenon_H30 | zenon_intro zenon_H30 ].
% 19.63/19.88 apply (zenon_L168_); trivial.
% 19.63/19.88 apply (zenon_L168_); trivial.
% 19.63/19.88 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H14 | zenon_intro zenon_H2c ].
% 19.63/19.88 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H15 | zenon_intro zenon_H40 ].
% 19.63/19.88 apply (zenon_L17_); trivial.
% 19.63/19.88 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 19.63/19.88 apply (zenon_L78_); trivial.
% 19.63/19.88 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H15 | zenon_intro zenon_H16b ].
% 19.63/19.88 apply (zenon_L95_); trivial.
% 19.63/19.88 apply (zenon_L168_); trivial.
% 19.63/19.88 apply zenon_H2c. apply sym_equal. exact zenon_H2b.
% 19.63/19.88 (* end of lemma zenon_L169_ *)
% 19.63/19.88 assert (zenon_L170_ : ((~((op2 (e20) (e21)) = (e20)))\/(~((op2 (e20) (e20)) = (e21)))) -> ((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e20) (e20)) = (e21)))) -> ((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e20) (e20)) = (e23)))) -> ((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e21) (e21)) = (e23)))) -> ((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e20) (e20)) = (e21)))) -> ((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e20) (e20)) = (e22)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e23) (e23)) = (e21)))) -> ((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> ((e21) = (op2 (e23) (e23))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e21) (e21)) = (e22)))) -> ((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e21) (e21)) = (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> ((~((op2 (e23) (e20)) = (e23)))\/(~((op2 (e21) (e21)) = (e20)))) -> (~((op2 (e20) (e20)) = (e20))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> ((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e20) (e20)) = (e22)))) -> ((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e22) (e22)) = (e22)))) -> ((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e21) (e21)) = (e22)))) -> ((~((op2 (e20) (e21)) = (e20)))\/(~((op2 (e23) (e23)) = (e21)))) -> ((~((op2 (e20) (e21)) = (e20)))\/(~((op2 (e21) (e21)) = (e21)))) -> ((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e20) (e20)) = (e23)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e10) (e10)) = (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((e11) = (e12))) -> (~((e10) = (e11))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> ((e11) = (op1 (e13) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e11) (e11)) = (e12)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e11) (e11)) = (e13)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e13) (e13)) = (e13)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e11) (e11)) = (e10)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e11) (e11)) = (e12)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e12) (e12)) = (e10)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e10) (e10)) = (e12)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e12) (e12)) = (e13)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e12) (e12)) = (e11)))) -> ((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))) -> ((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e10) (e10)) = (e11)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e11) (e11)) = (e13)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((e20) = (e22))) -> (~((e20) = (e21))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> ((h4 (e13)) = (e23)) -> (~((h4 (op1 (e12) (e12))) = (op2 (h4 (e12)) (h4 (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e12) (e12)) = (e12)))) -> ((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10)))) -> ((~((op2 (e22) (e20)) = (e22)))\/(~((op2 (e22) (e22)) = (e20)))) -> ((~((op2 (e22) (e21)) = (e22)))\/(~((op2 (e20) (e20)) = (e21)))) -> ((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e21) (e21)) = (e23)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> ((~((op2 (e22) (e21)) = (e22)))\/(~((op2 (e23) (e23)) = (e21)))) -> ((~((op2 (e21) (e23)) = (e21)))\/(~((op2 (e21) (e21)) = (e23)))) -> ((~((op2 (e21) (e23)) = (e21)))\/(~((op2 (e20) (e20)) = (e23)))) -> False).
% 19.63/19.88 do 0 intro. intros zenon_H10c zenon_H54 zenon_H53 zenon_H52 zenon_H51 zenon_H48 zenon_H3e zenon_H47 zenon_H28 zenon_H1d zenon_H2d zenon_H2b zenon_H2e zenon_H2f zenon_H3d zenon_H4f zenon_H4b zenon_H4c zenon_H50 zenon_H13 zenon_H12 zenon_H10e zenon_H195 zenon_H152 zenon_H10d zenon_H127 zenon_H194 zenon_Hf9 zenon_Hb7 zenon_Hb6 zenon_H9a zenon_H94 zenon_H8b zenon_H8d zenon_H84 zenon_Ha1 zenon_Ha5 zenon_Hab zenon_Haf zenon_Hb4 zenon_Hb5 zenon_H6b zenon_H60 zenon_H70 zenon_H6e zenon_H71 zenon_H72 zenon_H80 zenon_Hc0 zenon_Hbf zenon_Hbc zenon_Hbb zenon_Hbd zenon_Hbe zenon_Hb8 zenon_H55 zenon_Hfa zenon_Hf8 zenon_Hf7 zenon_Hf3 zenon_He8 zenon_Hf4 zenon_Hf6 zenon_Hf5 zenon_H1b6 zenon_H17b zenon_H155 zenon_H17f zenon_H17c zenon_H175 zenon_H168 zenon_Hdf zenon_H22f zenon_H1b2 zenon_H10f zenon_H12b zenon_H21e zenon_H22a zenon_H1fb zenon_H208 zenon_H1ac zenon_H214 zenon_H1b5 zenon_H234 zenon_H180 zenon_H10b zenon_H235 zenon_H196 zenon_H192 zenon_H167 zenon_H193 zenon_H1cb zenon_H1cc.
% 19.63/19.88 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_H14 | zenon_intro zenon_H3f ].
% 19.63/19.88 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H15 | zenon_intro zenon_H40 ].
% 19.63/19.88 apply (zenon_L17_); trivial.
% 19.63/19.88 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 19.63/19.88 apply (zenon_L78_); trivial.
% 19.63/19.88 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H15 | zenon_intro zenon_H16b ].
% 19.63/19.88 apply (zenon_L95_); trivial.
% 19.63/19.88 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H30 | zenon_intro zenon_H3f ].
% 19.63/19.88 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H1b4 | zenon_intro zenon_H41 ].
% 19.63/19.88 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H170 | zenon_intro zenon_H230 ].
% 19.63/19.88 apply (zenon_L109_); trivial.
% 19.63/19.88 apply (zenon_L165_); trivial.
% 19.63/19.88 apply (zenon_L167_); trivial.
% 19.63/19.88 apply (zenon_L169_); trivial.
% 19.63/19.88 apply (zenon_L169_); trivial.
% 19.63/19.88 (* end of lemma zenon_L170_ *)
% 19.63/19.88 assert (zenon_L171_ : (~((h4 (op1 (e12) (e13))) = (op2 (h4 (e12)) (h4 (e13))))) -> ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) -> ((op1 (e12) (e13)) = (e10)) -> ((op2 (e22) (e23)) = (e20)) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> ((h4 (e13)) = (e23)) -> False).
% 19.63/19.88 do 0 intro. intros zenon_H236 zenon_Hc2 zenon_H237 zenon_H238 zenon_H2e zenon_H10f zenon_H4c zenon_H12b.
% 19.63/19.88 cut (((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) = ((h4 (op1 (e12) (e13))) = (op2 (h4 (e12)) (h4 (e13))))).
% 19.63/19.88 intro zenon_D_pnotp.
% 19.63/19.88 apply zenon_H236.
% 19.63/19.88 rewrite <- zenon_D_pnotp.
% 19.63/19.88 exact zenon_Hc2.
% 19.63/19.88 cut (((op2 (e23) (op2 (e23) (e23))) = (op2 (h4 (e12)) (h4 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H239].
% 19.63/19.88 cut (((h4 (e10)) = (h4 (op1 (e12) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H23a].
% 19.63/19.88 congruence.
% 19.63/19.88 elim (classic ((h4 (op1 (e12) (e13))) = (h4 (op1 (e12) (e13))))); [ zenon_intro zenon_H23b | zenon_intro zenon_H23c ].
% 19.63/19.88 cut (((h4 (op1 (e12) (e13))) = (h4 (op1 (e12) (e13)))) = ((h4 (e10)) = (h4 (op1 (e12) (e13))))).
% 19.63/19.88 intro zenon_D_pnotp.
% 19.63/19.88 apply zenon_H23a.
% 19.63/19.88 rewrite <- zenon_D_pnotp.
% 19.63/19.88 exact zenon_H23b.
% 19.63/19.88 cut (((h4 (op1 (e12) (e13))) = (h4 (op1 (e12) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H23c].
% 19.63/19.88 cut (((h4 (op1 (e12) (e13))) = (h4 (e10)))); [idtac | apply NNPP; zenon_intro zenon_H23d].
% 19.63/19.88 congruence.
% 19.63/19.88 cut (((op1 (e12) (e13)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H23e].
% 19.63/19.88 congruence.
% 19.63/19.88 exact (zenon_H23e zenon_H237).
% 19.63/19.88 apply zenon_H23c. apply refl_equal.
% 19.63/19.88 apply zenon_H23c. apply refl_equal.
% 19.63/19.88 elim (classic ((op2 (h4 (e12)) (h4 (e13))) = (op2 (h4 (e12)) (h4 (e13))))); [ zenon_intro zenon_H23f | zenon_intro zenon_H240 ].
% 19.63/19.88 cut (((op2 (h4 (e12)) (h4 (e13))) = (op2 (h4 (e12)) (h4 (e13)))) = ((op2 (e23) (op2 (e23) (e23))) = (op2 (h4 (e12)) (h4 (e13))))).
% 19.63/19.88 intro zenon_D_pnotp.
% 19.63/19.88 apply zenon_H239.
% 19.63/19.88 rewrite <- zenon_D_pnotp.
% 19.63/19.88 exact zenon_H23f.
% 19.63/19.88 cut (((op2 (h4 (e12)) (h4 (e13))) = (op2 (h4 (e12)) (h4 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H240].
% 19.63/19.88 cut (((op2 (h4 (e12)) (h4 (e13))) = (op2 (e23) (op2 (e23) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H241].
% 19.63/19.88 congruence.
% 19.63/19.88 cut (((op2 (e22) (e23)) = (e20)) = ((op2 (h4 (e12)) (h4 (e13))) = (op2 (e23) (op2 (e23) (e23))))).
% 19.63/19.88 intro zenon_D_pnotp.
% 19.63/19.88 apply zenon_H241.
% 19.63/19.88 rewrite <- zenon_D_pnotp.
% 19.63/19.88 exact zenon_H238.
% 19.63/19.88 cut (((e20) = (op2 (e23) (op2 (e23) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H124].
% 19.63/19.88 cut (((op2 (e22) (e23)) = (op2 (h4 (e12)) (h4 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H242].
% 19.63/19.88 congruence.
% 19.63/19.88 elim (classic ((op2 (h4 (e12)) (h4 (e13))) = (op2 (h4 (e12)) (h4 (e13))))); [ zenon_intro zenon_H23f | zenon_intro zenon_H240 ].
% 19.63/19.88 cut (((op2 (h4 (e12)) (h4 (e13))) = (op2 (h4 (e12)) (h4 (e13)))) = ((op2 (e22) (e23)) = (op2 (h4 (e12)) (h4 (e13))))).
% 19.63/19.88 intro zenon_D_pnotp.
% 19.63/19.88 apply zenon_H242.
% 19.63/19.88 rewrite <- zenon_D_pnotp.
% 19.63/19.88 exact zenon_H23f.
% 19.63/19.88 cut (((op2 (h4 (e12)) (h4 (e13))) = (op2 (h4 (e12)) (h4 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H240].
% 19.63/19.88 cut (((op2 (h4 (e12)) (h4 (e13))) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H243].
% 19.63/19.88 congruence.
% 19.63/19.88 cut (((h4 (e13)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H137].
% 19.63/19.88 cut (((h4 (e12)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H118].
% 19.63/19.88 congruence.
% 19.63/19.88 apply (zenon_L73_); trivial.
% 19.63/19.88 exact (zenon_H137 zenon_H12b).
% 19.63/19.88 apply zenon_H240. apply refl_equal.
% 19.63/19.88 apply zenon_H240. apply refl_equal.
% 19.63/19.88 exact (zenon_H124 zenon_H2e).
% 19.63/19.88 apply zenon_H240. apply refl_equal.
% 19.63/19.88 apply zenon_H240. apply refl_equal.
% 19.63/19.88 (* end of lemma zenon_L171_ *)
% 19.63/19.88 assert (zenon_L172_ : (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> ((op1 (e12) (e13)) = (e11)) -> False).
% 19.63/19.88 do 0 intro. intros zenon_H244 zenon_H6e zenon_H245.
% 19.63/19.88 cut (((e11) = (op1 (e13) (e13))) = ((op1 (e12) (e13)) = (op1 (e13) (e13)))).
% 19.63/19.88 intro zenon_D_pnotp.
% 19.63/19.88 apply zenon_H244.
% 19.63/19.88 rewrite <- zenon_D_pnotp.
% 19.63/19.88 exact zenon_H6e.
% 19.63/19.88 cut (((op1 (e13) (e13)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Ha7].
% 19.63/19.88 cut (((e11) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H246].
% 19.63/19.88 congruence.
% 19.63/19.88 elim (classic ((op1 (e12) (e13)) = (op1 (e12) (e13)))); [ zenon_intro zenon_H247 | zenon_intro zenon_H248 ].
% 19.63/19.88 cut (((op1 (e12) (e13)) = (op1 (e12) (e13))) = ((e11) = (op1 (e12) (e13)))).
% 19.63/19.88 intro zenon_D_pnotp.
% 19.63/19.88 apply zenon_H246.
% 19.63/19.88 rewrite <- zenon_D_pnotp.
% 19.63/19.88 exact zenon_H247.
% 19.63/19.88 cut (((op1 (e12) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H248].
% 19.63/19.88 cut (((op1 (e12) (e13)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H249].
% 19.63/19.88 congruence.
% 19.63/19.88 exact (zenon_H249 zenon_H245).
% 19.63/19.88 apply zenon_H248. apply refl_equal.
% 19.63/19.88 apply zenon_H248. apply refl_equal.
% 19.63/19.88 apply zenon_Ha7. apply refl_equal.
% 19.63/19.88 (* end of lemma zenon_L172_ *)
% 19.63/19.88 assert (zenon_L173_ : (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> ((h4 (e13)) = (e23)) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e22) (e23)) = (e20)) -> ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) -> (~((h4 (op1 (e12) (e13))) = (op2 (h4 (e12)) (h4 (e13))))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e13)) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e10) (e13)) = (e13)) -> False).
% 19.63/19.88 do 0 intro. intros zenon_H24a zenon_H12b zenon_H4c zenon_H10f zenon_H2e zenon_H238 zenon_Hc2 zenon_H236 zenon_H6e zenon_H244 zenon_H159 zenon_H13e zenon_H129.
% 19.63/19.88 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H237 | zenon_intro zenon_H24b ].
% 19.63/19.88 apply (zenon_L171_); trivial.
% 19.63/19.88 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H245 | zenon_intro zenon_H24c ].
% 19.63/19.88 apply (zenon_L172_); trivial.
% 19.63/19.88 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H160 | zenon_intro zenon_H13f ].
% 19.63/19.88 exact (zenon_H159 zenon_H160).
% 19.63/19.88 apply (zenon_L82_); trivial.
% 19.63/19.88 (* end of lemma zenon_L173_ *)
% 19.63/19.88 assert (zenon_L174_ : (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e13)) = (e12))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((h4 (op1 (e12) (e13))) = (op2 (h4 (e12)) (h4 (e13))))) -> ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e22) (e23)) = (e20)) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> ((h4 (e13)) = (e23)) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (e10))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e13) (e13)) = (e13))) -> False).
% 19.63/19.88 do 0 intro. intros zenon_H141 zenon_H159 zenon_H244 zenon_H236 zenon_Hc2 zenon_H238 zenon_H2e zenon_H10f zenon_H4c zenon_H12b zenon_H24a zenon_H138 zenon_H13e zenon_H8b zenon_H6e zenon_H71 zenon_H94 zenon_Ha5 zenon_H59 zenon_H13b zenon_H64.
% 19.63/19.88 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H129 | zenon_intro zenon_H142 ].
% 19.63/19.88 apply (zenon_L173_); trivial.
% 19.63/19.88 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H139 | zenon_intro zenon_H143 ].
% 19.63/19.88 apply (zenon_L81_); trivial.
% 19.63/19.88 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H13f | zenon_intro zenon_H69 ].
% 19.63/19.88 apply (zenon_L83_); trivial.
% 19.63/19.88 exact (zenon_H64 zenon_H69).
% 19.63/19.88 (* end of lemma zenon_L174_ *)
% 19.63/19.88 assert (zenon_L175_ : (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> ((op2 (e22) (e23)) = (e21)) -> False).
% 19.63/19.88 do 0 intro. intros zenon_H24d zenon_H2b zenon_H24e.
% 19.63/19.88 cut (((e21) = (op2 (e23) (e23))) = ((op2 (e22) (e23)) = (op2 (e23) (e23)))).
% 19.63/19.88 intro zenon_D_pnotp.
% 19.63/19.88 apply zenon_H24d.
% 19.63/19.88 rewrite <- zenon_D_pnotp.
% 19.63/19.88 exact zenon_H2b.
% 19.63/19.88 cut (((op2 (e23) (e23)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_He5].
% 19.63/19.88 cut (((e21) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H24f].
% 19.63/19.88 congruence.
% 19.63/19.88 elim (classic ((op2 (e22) (e23)) = (op2 (e22) (e23)))); [ zenon_intro zenon_H250 | zenon_intro zenon_H251 ].
% 19.63/19.88 cut (((op2 (e22) (e23)) = (op2 (e22) (e23))) = ((e21) = (op2 (e22) (e23)))).
% 19.63/19.88 intro zenon_D_pnotp.
% 19.63/19.88 apply zenon_H24f.
% 19.63/19.88 rewrite <- zenon_D_pnotp.
% 19.63/19.88 exact zenon_H250.
% 19.63/19.88 cut (((op2 (e22) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H251].
% 19.63/19.88 cut (((op2 (e22) (e23)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H252].
% 19.63/19.88 congruence.
% 19.63/19.88 exact (zenon_H252 zenon_H24e).
% 19.63/19.88 apply zenon_H251. apply refl_equal.
% 19.63/19.88 apply zenon_H251. apply refl_equal.
% 19.63/19.88 apply zenon_He5. apply refl_equal.
% 19.63/19.88 (* end of lemma zenon_L175_ *)
% 19.63/19.88 assert (zenon_L176_ : (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op1 (e13) (e13)) = (e13))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (e10))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> ((h4 (e13)) = (e23)) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) -> (~((h4 (op1 (e12) (e13))) = (op2 (h4 (e12)) (h4 (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e13)) = (e12))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e23)) = (e22))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e20) (e23)) = (e23)) -> False).
% 19.63/19.88 do 0 intro. intros zenon_H253 zenon_H64 zenon_H13b zenon_H59 zenon_Ha5 zenon_H94 zenon_H71 zenon_H6e zenon_H8b zenon_H13e zenon_H138 zenon_H24a zenon_H12b zenon_H4c zenon_H10f zenon_H2e zenon_Hc2 zenon_H236 zenon_H244 zenon_H159 zenon_H141 zenon_H2b zenon_H24d zenon_H16c zenon_H14a zenon_H12a.
% 19.63/19.88 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H238 | zenon_intro zenon_H254 ].
% 19.63/19.88 apply (zenon_L174_); trivial.
% 19.63/19.88 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H24e | zenon_intro zenon_H255 ].
% 19.63/19.88 apply (zenon_L175_); trivial.
% 19.63/19.88 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H173 | zenon_intro zenon_H14b ].
% 19.63/19.88 exact (zenon_H16c zenon_H173).
% 19.63/19.88 apply (zenon_L87_); trivial.
% 19.63/19.88 (* end of lemma zenon_L176_ *)
% 19.63/19.88 assert (zenon_L177_ : ((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e11) (e11)) = (e13)))) -> (~((op1 (e11) (e11)) = (e12))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e12) (e12)) = (e10)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))) -> ((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e10) (e10)) = (e12)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e12) (e12)) = (e13)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e12) (e12)) = (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e11) (e11)) = (e13)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e13) (e13)) = (e13)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((e10) = (e11))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e10) (e10)) = (e12)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e11) (e11)) = (e10)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11)))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e10) (e10)) = (e11)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e23)) = (e23))) -> (~((op2 (e20) (e23)) = (e20))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (e10))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (op1 (e13) (e13)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((h4 (op1 (e12) (e13))) = (op2 (h4 (e12)) (h4 (e13))))) -> ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e13)) = (e23)) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (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))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e22) (e23)) = (e22))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e11) (e11)) = (e10))) -> ((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e11) (e11)) = (e13)))) -> False).
% 19.63/19.88 do 0 intro. intros zenon_H17f zenon_H74 zenon_H72 zenon_Hf8 zenon_Hf7 zenon_Hf3 zenon_He8 zenon_H6b zenon_Hf4 zenon_Hf6 zenon_Hf5 zenon_Hbf zenon_Hbc zenon_Hb5 zenon_H60 zenon_Hb4 zenon_Haf zenon_Hab zenon_Ha1 zenon_H84 zenon_H8d zenon_H9a zenon_Hb6 zenon_Hbb zenon_Hbd zenon_H56 zenon_H55 zenon_Hbe zenon_Hc0 zenon_H14d zenon_H21 zenon_H16 zenon_He3 zenon_Hd4 zenon_H144 zenon_H147 zenon_H141 zenon_H59 zenon_Ha5 zenon_H94 zenon_H8b zenon_H71 zenon_H138 zenon_H13b zenon_H236 zenon_Hc2 zenon_H12b zenon_H4c zenon_H10f zenon_H2e zenon_H244 zenon_H6e zenon_H13e zenon_H24a zenon_H24d zenon_H2b zenon_H16c zenon_H14a zenon_H253 zenon_H70 zenon_Hb8 zenon_H73 zenon_H7b zenon_H14e.
% 19.63/19.88 apply (zenon_or_s _ _ zenon_H17f); [ zenon_intro zenon_H159 | zenon_intro zenon_H75 ].
% 19.63/19.88 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H64 | zenon_intro zenon_H75 ].
% 19.63/19.88 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H12a | zenon_intro zenon_H14f ].
% 19.63/19.88 apply (zenon_L176_); trivial.
% 19.63/19.88 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H145 | zenon_intro zenon_H150 ].
% 19.63/19.88 apply (zenon_L86_); trivial.
% 19.63/19.88 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H14b | zenon_intro zenon_H26 ].
% 19.63/19.88 apply (zenon_L88_); trivial.
% 19.63/19.88 exact (zenon_H21 zenon_H26).
% 19.63/19.88 apply (zenon_L39_); trivial.
% 19.63/19.88 apply (zenon_L66_); trivial.
% 19.63/19.88 (* end of lemma zenon_L177_ *)
% 19.63/19.88 assert (zenon_L178_ : ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e10) (e10)) = (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((e11) = (e12))) -> (~((e10) = (e11))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> ((e11) = (op1 (e13) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e11) (e11)) = (e12)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e11) (e11)) = (e13)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e13) (e13)) = (e13)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e11) (e11)) = (e10)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e11) (e11)) = (e12)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e12) (e12)) = (e10)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e10) (e10)) = (e12)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e12) (e12)) = (e13)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e12) (e12)) = (e11)))) -> ((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e11) (e11)) = (e10)))) -> ((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e11) (e11)) = (e13)))) -> (((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)) = (e22))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((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)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> ((h4 (e13)) = (e23)) -> ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) -> (~((h4 (op1 (e12) (e13))) = (op2 (h4 (e12)) (h4 (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (e20))) -> (~((op2 (e23) (e23)) = (e23))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e11) (e11)) = (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e12) (e12)) = (e12)))) -> False).
% 19.63/19.88 do 0 intro. intros zenon_Hf9 zenon_Hb7 zenon_Hb6 zenon_H9a zenon_H94 zenon_H8b zenon_H8d zenon_H84 zenon_Ha1 zenon_Ha5 zenon_Hab zenon_Haf zenon_Hb4 zenon_Hb5 zenon_H6b zenon_H60 zenon_H70 zenon_H6e zenon_H71 zenon_H72 zenon_H80 zenon_Hc0 zenon_Hbf zenon_Hbc zenon_Hbb zenon_Hbd zenon_Hbe zenon_Hb8 zenon_H56 zenon_H55 zenon_Hfa zenon_Hf8 zenon_Hf7 zenon_Hf3 zenon_He8 zenon_Hf4 zenon_Hf6 zenon_Hf5 zenon_H1a2 zenon_H14e zenon_H253 zenon_H14a zenon_H16c zenon_H2b zenon_H24d zenon_H24a zenon_H13e zenon_H244 zenon_H2e zenon_H10f zenon_H4c zenon_H12b zenon_Hc2 zenon_H236 zenon_H13b zenon_H138 zenon_H141 zenon_H147 zenon_H144 zenon_Hd4 zenon_He3 zenon_H16 zenon_H21 zenon_H14d zenon_H17f zenon_H155 zenon_H17b zenon_H180.
% 19.63/19.88 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H57 | zenon_intro zenon_Haa ].
% 19.63/19.88 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H58 | zenon_intro zenon_H9b ].
% 19.63/19.88 apply (zenon_L45_); trivial.
% 19.63/19.88 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H58 | zenon_intro zenon_H74 ].
% 19.63/19.88 apply (zenon_L48_); trivial.
% 19.63/19.88 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H58 | zenon_intro zenon_Heb ].
% 19.63/19.88 apply (zenon_L96_); trivial.
% 19.63/19.88 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H59 | zenon_intro zenon_H75 ].
% 19.63/19.88 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H73 | zenon_intro zenon_Haa ].
% 19.63/19.88 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H15d | zenon_intro zenon_H7b ].
% 19.63/19.88 apply (zenon_L110_); trivial.
% 19.63/19.88 apply (zenon_L177_); trivial.
% 19.63/19.88 apply (zenon_L43_); trivial.
% 19.63/19.88 apply (zenon_L66_); trivial.
% 19.63/19.88 apply (zenon_L65_); trivial.
% 19.63/19.88 (* end of lemma zenon_L178_ *)
% 19.63/19.88 assert (zenon_L179_ : ((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e21) (e21)) = (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((op2 (e21) (e21)) = (e22))) -> (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e10) (e10)) = (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((e11) = (e12))) -> (~((e10) = (e11))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> ((e11) = (op1 (e13) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e11) (e11)) = (e12)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e11) (e11)) = (e13)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e13) (e13)) = (e13)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e11) (e11)) = (e10)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e11) (e11)) = (e12)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e12) (e12)) = (e10)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e10) (e10)) = (e12)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e12) (e12)) = (e13)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e12) (e12)) = (e11)))) -> ((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e11) (e11)) = (e10)))) -> ((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e11) (e11)) = (e13)))) -> (((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)) = (e22))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((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)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> ((h4 (e13)) = (e23)) -> ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) -> (~((h4 (op1 (e12) (e13))) = (op2 (h4 (e12)) (h4 (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (e20))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e11) (e11)) = (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e12) (e12)) = (e12)))) -> ((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10)))) -> False).
% 19.63/19.88 do 0 intro. intros zenon_H151 zenon_H2f zenon_H30 zenon_H31 zenon_H2d zenon_Hf9 zenon_Hb7 zenon_Hb6 zenon_H9a zenon_H94 zenon_H8b zenon_H8d zenon_H84 zenon_Ha1 zenon_Ha5 zenon_Hab zenon_Haf zenon_Hb4 zenon_Hb5 zenon_H6b zenon_H60 zenon_H70 zenon_H6e zenon_H71 zenon_H72 zenon_H80 zenon_Hc0 zenon_Hbf zenon_Hbc zenon_Hbb zenon_Hbd zenon_Hbe zenon_Hb8 zenon_H55 zenon_Hfa zenon_Hf8 zenon_Hf7 zenon_Hf3 zenon_He8 zenon_Hf4 zenon_Hf6 zenon_Hf5 zenon_H1a2 zenon_H14e zenon_H253 zenon_H14a zenon_H16c zenon_H2b zenon_H24d zenon_H24a zenon_H13e zenon_H244 zenon_H2e zenon_H10f zenon_H4c zenon_H12b zenon_Hc2 zenon_H236 zenon_H13b zenon_H138 zenon_H141 zenon_H147 zenon_H144 zenon_Hd4 zenon_He3 zenon_H16 zenon_H14d zenon_H17f zenon_H155 zenon_H17b zenon_H180 zenon_H10b.
% 19.63/19.88 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H21 | zenon_intro zenon_H32 ].
% 19.63/19.88 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_H56 | zenon_intro zenon_H56 ].
% 19.63/19.88 apply (zenon_L178_); trivial.
% 19.63/19.88 apply (zenon_L178_); trivial.
% 19.63/19.88 apply (zenon_L6_); trivial.
% 19.63/19.88 (* end of lemma zenon_L179_ *)
% 19.63/19.88 assert (zenon_L180_ : ((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e21) (e21)) = (e23)))) -> ((~((op2 (e23) (e20)) = (e23)))\/(~((op2 (e21) (e21)) = (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e21) (e21)) = (e21)))) -> ((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e21) (e21)) = (e22)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23)))) -> ((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e23) (e23)) = (e21)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (e23))) -> (~((op2 (e20) (e20)) = (e20))) -> ((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e20) (e20)) = (e22)))) -> ((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e20) (e20)) = (e21)))) -> (~((op2 (e20) (e20)) = (e22))) -> ((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e20) (e20)) = (e21)))) -> ((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e12) (e12)) = (e12)))) -> ((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e10) (e10)) = (e11)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e11) (e11)) = (e13)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (e20))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((h4 (op1 (e12) (e13))) = (op2 (h4 (e12)) (h4 (e13))))) -> ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e13)) = (e23)) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> ((e20) = (op2 (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))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (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))))) -> ((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e11) (e11)) = (e13)))) -> ((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e11) (e11)) = (e10)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e12) (e12)) = (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e12) (e12)) = (e13)))) -> ((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e10) (e10)) = (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e12) (e12)) = (e10)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e11) (e11)) = (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e11) (e11)) = (e10)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e13) (e13)) = (e13)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e11) (e11)) = (e13)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e11) (e11)) = (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e10) (e10)) = (e12)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11)))) -> (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> (~((op2 (e21) (e21)) = (e22))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e21) (e21)) = (e23)))) -> False).
% 19.63/19.88 do 0 intro. intros zenon_H192 zenon_H50 zenon_H4b zenon_H4f zenon_H3d zenon_H1d zenon_H28 zenon_H47 zenon_H3e zenon_H41 zenon_H13 zenon_H48 zenon_H51 zenon_H40 zenon_H54 zenon_H10b zenon_H180 zenon_H17b zenon_H155 zenon_H17f zenon_H14d zenon_H16 zenon_He3 zenon_Hd4 zenon_H144 zenon_H147 zenon_H141 zenon_H138 zenon_H13b zenon_H236 zenon_Hc2 zenon_H12b zenon_H4c zenon_H10f zenon_H2e zenon_H244 zenon_H13e zenon_H24a zenon_H24d zenon_H2b zenon_H14a zenon_H253 zenon_H14e zenon_H1a2 zenon_Hf5 zenon_Hf6 zenon_Hf4 zenon_He8 zenon_Hf3 zenon_Hf7 zenon_Hf8 zenon_Hfa zenon_H55 zenon_Hb8 zenon_Hbe zenon_Hbd zenon_Hbb zenon_Hbc zenon_Hbf zenon_Hc0 zenon_H80 zenon_H72 zenon_H71 zenon_H6e zenon_H70 zenon_H60 zenon_H6b zenon_Hb5 zenon_Hb4 zenon_Haf zenon_Hab zenon_Ha5 zenon_Ha1 zenon_H84 zenon_H8d zenon_H8b zenon_H94 zenon_H9a zenon_Hb6 zenon_Hb7 zenon_Hf9 zenon_H2d zenon_H31 zenon_H30 zenon_H2f zenon_H151.
% 19.63/19.88 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H16c | zenon_intro zenon_H32 ].
% 19.63/19.88 apply (zenon_L179_); trivial.
% 19.63/19.88 apply (zenon_L69_); trivial.
% 19.63/19.88 (* end of lemma zenon_L180_ *)
% 19.63/19.88 assert (zenon_L181_ : ((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e20) (e20)) = (e23)))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((op2 (e20) (e20)) = (e21))) -> (~((op2 (e20) (e20)) = (e22))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> ((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e12) (e12)) = (e12)))) -> ((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e10) (e10)) = (e11)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e11) (e11)) = (e13)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (e20))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((h4 (op1 (e12) (e13))) = (op2 (h4 (e12)) (h4 (e13))))) -> ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e13)) = (e23)) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> ((e20) = (op2 (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))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (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))))) -> ((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e11) (e11)) = (e13)))) -> ((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e11) (e11)) = (e10)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e12) (e12)) = (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e12) (e12)) = (e13)))) -> ((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e10) (e10)) = (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e12) (e12)) = (e10)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e11) (e11)) = (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e11) (e11)) = (e10)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e13) (e13)) = (e13)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e11) (e11)) = (e13)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e11) (e11)) = (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e10) (e10)) = (e12)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11)))) -> (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> (~((op2 (e21) (e21)) = (e22))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e21) (e21)) = (e23)))) -> False).
% 19.73/19.89 do 0 intro. intros zenon_H194 zenon_H13 zenon_H3f zenon_H40 zenon_H3e zenon_H10b zenon_H180 zenon_H17b zenon_H155 zenon_H17f zenon_H14d zenon_H16 zenon_He3 zenon_Hd4 zenon_H144 zenon_H147 zenon_H141 zenon_H138 zenon_H13b zenon_H236 zenon_Hc2 zenon_H12b zenon_H4c zenon_H10f zenon_H2e zenon_H244 zenon_H13e zenon_H24a zenon_H24d zenon_H2b zenon_H14a zenon_H253 zenon_H14e zenon_H1a2 zenon_Hf5 zenon_Hf6 zenon_Hf4 zenon_He8 zenon_Hf3 zenon_Hf7 zenon_Hf8 zenon_Hfa zenon_H55 zenon_Hb8 zenon_Hbe zenon_Hbd zenon_Hbb zenon_Hbc zenon_Hbf zenon_Hc0 zenon_H80 zenon_H72 zenon_H71 zenon_H6e zenon_H70 zenon_H60 zenon_H6b zenon_Hb5 zenon_Hb4 zenon_Haf zenon_Hab zenon_Ha5 zenon_Ha1 zenon_H84 zenon_H8d zenon_H8b zenon_H94 zenon_H9a zenon_Hb6 zenon_Hb7 zenon_Hf9 zenon_H2d zenon_H31 zenon_H30 zenon_H2f zenon_H151.
% 19.73/19.89 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H16c | zenon_intro zenon_H41 ].
% 19.73/19.89 apply (zenon_L179_); trivial.
% 19.73/19.89 apply (zenon_L8_); trivial.
% 19.73/19.89 (* end of lemma zenon_L181_ *)
% 19.73/19.89 assert (zenon_L182_ : ((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e21) (e21)) = (e21)))) -> ((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e21) (e21)) = (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (e22))) -> (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e10) (e10)) = (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((e11) = (e12))) -> (~((e10) = (e11))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> ((e11) = (op1 (e13) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e11) (e11)) = (e12)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e11) (e11)) = (e13)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e13) (e13)) = (e13)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e11) (e11)) = (e10)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e11) (e11)) = (e12)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e12) (e12)) = (e10)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e10) (e10)) = (e12)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e12) (e12)) = (e13)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e12) (e12)) = (e11)))) -> ((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e11) (e11)) = (e10)))) -> ((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e11) (e11)) = (e13)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((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)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> ((h4 (e13)) = (e23)) -> ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) -> (~((h4 (op1 (e12) (e13))) = (op2 (h4 (e12)) (h4 (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (e20))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e11) (e11)) = (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e12) (e12)) = (e12)))) -> ((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (e22))) -> (~((op2 (e20) (e20)) = (e21))) -> (~((op2 (e20) (e20)) = (e20))) -> ((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e20) (e20)) = (e23)))) -> False).
% 19.73/19.89 do 0 intro. intros zenon_H4f zenon_H151 zenon_H2f zenon_H31 zenon_H2d zenon_Hf9 zenon_Hb7 zenon_Hb6 zenon_H9a zenon_H94 zenon_H8b zenon_H8d zenon_H84 zenon_Ha1 zenon_Ha5 zenon_Hab zenon_Haf zenon_Hb4 zenon_Hb5 zenon_H6b zenon_H60 zenon_H70 zenon_H6e zenon_H71 zenon_H72 zenon_H80 zenon_Hc0 zenon_Hbf zenon_Hbc zenon_Hbb zenon_Hbd zenon_Hbe zenon_Hb8 zenon_H55 zenon_Hfa zenon_Hf8 zenon_Hf7 zenon_Hf3 zenon_He8 zenon_Hf4 zenon_Hf6 zenon_Hf5 zenon_H1a2 zenon_H14e zenon_H253 zenon_H14a zenon_H2b zenon_H24d zenon_H24a zenon_H13e zenon_H244 zenon_H2e zenon_H10f zenon_H4c zenon_H12b zenon_Hc2 zenon_H236 zenon_H13b zenon_H138 zenon_H141 zenon_H147 zenon_H144 zenon_Hd4 zenon_He3 zenon_H16 zenon_H14d zenon_H17f zenon_H155 zenon_H17b zenon_H180 zenon_H10b zenon_H3e zenon_H40 zenon_H3f zenon_H13 zenon_H194.
% 19.73/19.89 apply (zenon_or_s _ _ zenon_H4f); [ zenon_intro zenon_H30 | zenon_intro zenon_H30 ].
% 19.73/19.89 apply (zenon_L181_); trivial.
% 19.73/19.89 apply (zenon_L181_); trivial.
% 19.73/19.89 (* end of lemma zenon_L182_ *)
% 19.73/19.89 assert (zenon_L183_ : ((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e21) (e21)) = (e23)))) -> ((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e21) (e21)) = (e23)))) -> ((~((op2 (e23) (e20)) = (e23)))\/(~((op2 (e21) (e21)) = (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e21) (e21)) = (e21)))) -> ((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e21) (e21)) = (e22)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23)))) -> ((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e23) (e23)) = (e21)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (e23))) -> (~((op2 (e20) (e20)) = (e20))) -> ((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e20) (e20)) = (e22)))) -> ((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e20) (e20)) = (e21)))) -> (~((op2 (e20) (e20)) = (e22))) -> ((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e20) (e20)) = (e21)))) -> ((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e12) (e12)) = (e12)))) -> ((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e10) (e10)) = (e11)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e11) (e11)) = (e13)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((h4 (op1 (e12) (e13))) = (op2 (h4 (e12)) (h4 (e13))))) -> ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e13)) = (e23)) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> ((e20) = (op2 (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))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (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))))) -> ((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e11) (e11)) = (e13)))) -> ((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e11) (e11)) = (e10)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e12) (e12)) = (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e12) (e12)) = (e13)))) -> ((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e10) (e10)) = (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e12) (e12)) = (e10)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e11) (e11)) = (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e11) (e11)) = (e10)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e13) (e13)) = (e13)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e11) (e11)) = (e13)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e11) (e11)) = (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e10) (e10)) = (e12)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11)))) -> (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> (~((op2 (e21) (e21)) = (e22))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e21) (e21)) = (e23)))) -> ((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e20) (e20)) = (e23)))) -> False).
% 19.73/19.89 do 0 intro. intros zenon_H52 zenon_H192 zenon_H50 zenon_H4b zenon_H4f zenon_H3d zenon_H1d zenon_H28 zenon_H47 zenon_H3e zenon_H41 zenon_H13 zenon_H48 zenon_H51 zenon_H40 zenon_H54 zenon_H10b zenon_H180 zenon_H17b zenon_H155 zenon_H17f zenon_H14d zenon_He3 zenon_Hd4 zenon_H144 zenon_H147 zenon_H141 zenon_H138 zenon_H13b zenon_H236 zenon_Hc2 zenon_H12b zenon_H4c zenon_H10f zenon_H2e zenon_H244 zenon_H13e zenon_H24a zenon_H24d zenon_H2b zenon_H14a zenon_H253 zenon_H14e zenon_H1a2 zenon_Hf5 zenon_Hf6 zenon_Hf4 zenon_He8 zenon_Hf3 zenon_Hf7 zenon_Hf8 zenon_Hfa zenon_H55 zenon_Hb8 zenon_Hbe zenon_Hbd zenon_Hbb zenon_Hbc zenon_Hbf zenon_Hc0 zenon_H80 zenon_H72 zenon_H71 zenon_H6e zenon_H70 zenon_H60 zenon_H6b zenon_Hb5 zenon_Hb4 zenon_Haf zenon_Hab zenon_Ha5 zenon_Ha1 zenon_H84 zenon_H8d zenon_H8b zenon_H94 zenon_H9a zenon_Hb6 zenon_Hb7 zenon_Hf9 zenon_H2d zenon_H31 zenon_H2f zenon_H151 zenon_H194.
% 19.73/19.89 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H16 | zenon_intro zenon_H32 ].
% 19.73/19.89 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H30 | zenon_intro zenon_H3f ].
% 19.73/19.89 apply (zenon_L180_); trivial.
% 19.73/19.89 apply (zenon_L182_); trivial.
% 19.73/19.89 apply (zenon_L69_); trivial.
% 19.73/19.89 (* end of lemma zenon_L183_ *)
% 19.73/19.89 assert (zenon_L184_ : ((~((op2 (e20) (e21)) = (e20)))\/(~((op2 (e21) (e21)) = (e21)))) -> ((~((op2 (e20) (e21)) = (e20)))\/(~((op2 (e23) (e23)) = (e21)))) -> ((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e21) (e21)) = (e21)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> (~((op2 (e20) (e20)) = (e20))) -> ((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e21) (e21)) = (e23)))) -> ((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e23) (e23)) = (e21)))) -> ((e21) = (op2 (e23) (e23))) -> ((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (e21))) -> ((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e20) (e20)) = (e22)))) -> (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((~((op2 (e23) (e20)) = (e23)))\/(~((op2 (e21) (e21)) = (e20)))) -> ((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e20) (e20)) = (e23)))) -> ((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e21) (e21)) = (e22)))) -> ((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e21) (e21)) = (e23)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e10) (e10)) = (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((e11) = (e12))) -> (~((e10) = (e11))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> ((e11) = (op1 (e13) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e11) (e11)) = (e12)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e11) (e11)) = (e13)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e13) (e13)) = (e13)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e11) (e11)) = (e10)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e11) (e11)) = (e12)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e12) (e12)) = (e10)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e10) (e10)) = (e12)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e12) (e12)) = (e13)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e12) (e12)) = (e11)))) -> ((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e11) (e11)) = (e10)))) -> ((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e11) (e11)) = (e13)))) -> (((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 (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)))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> ((h4 (e13)) = (e23)) -> ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) -> (~((h4 (op1 (e12) (e13))) = (op2 (h4 (e12)) (h4 (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e11) (e11)) = (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e12) (e12)) = (e12)))) -> ((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10)))) -> ((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e20) (e20)) = (e23)))) -> ((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e21) (e21)) = (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e20) (e20)) = (e21)))) -> ((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e20) (e20)) = (e21)))) -> ((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e20) (e20)) = (e22)))) -> False).
% 19.73/19.89 do 0 intro. intros zenon_H127 zenon_H10d zenon_H4f zenon_H12 zenon_H13 zenon_H52 zenon_H47 zenon_H2b zenon_H28 zenon_H1d zenon_H3e zenon_H3f zenon_H48 zenon_H2d zenon_H2e zenon_H4c zenon_H4b zenon_H50 zenon_H53 zenon_H152 zenon_H151 zenon_Hf9 zenon_Hb7 zenon_Hb6 zenon_H9a zenon_H94 zenon_H8b zenon_H8d zenon_H84 zenon_Ha1 zenon_Ha5 zenon_Hab zenon_Haf zenon_Hb4 zenon_Hb5 zenon_H6b zenon_H60 zenon_H70 zenon_H6e zenon_H71 zenon_H72 zenon_H80 zenon_Hc0 zenon_Hbf zenon_Hbc zenon_Hbb zenon_Hbd zenon_Hbe zenon_Hb8 zenon_H55 zenon_Hfa zenon_Hf8 zenon_Hf7 zenon_Hf3 zenon_He8 zenon_Hf4 zenon_Hf6 zenon_Hf5 zenon_H1a2 zenon_H14e zenon_H253 zenon_H14a zenon_H24d zenon_H24a zenon_H13e zenon_H244 zenon_H10f zenon_H12b zenon_Hc2 zenon_H236 zenon_H13b zenon_H138 zenon_H141 zenon_H147 zenon_H144 zenon_Hd4 zenon_He3 zenon_H14d zenon_H17f zenon_H155 zenon_H17b zenon_H180 zenon_H10b zenon_H194 zenon_H3d zenon_H2f zenon_H51 zenon_H54 zenon_H10e.
% 19.73/19.89 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H14 | zenon_intro zenon_H30 ].
% 19.73/19.89 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H15 | zenon_intro zenon_H40 ].
% 19.73/19.89 apply (zenon_L16_); trivial.
% 19.73/19.89 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 19.73/19.89 apply (zenon_L78_); trivial.
% 19.73/19.89 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H16 | zenon_intro zenon_H41 ].
% 19.73/19.89 apply (zenon_L182_); trivial.
% 19.73/19.89 apply (zenon_L8_); trivial.
% 19.73/19.89 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H14 | zenon_intro zenon_H2c ].
% 19.73/19.89 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H15 | zenon_intro zenon_H40 ].
% 19.73/19.89 apply (zenon_L17_); trivial.
% 19.73/19.89 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 19.73/19.89 apply (zenon_L78_); trivial.
% 19.73/19.89 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H16 | zenon_intro zenon_H41 ].
% 19.73/19.89 apply (zenon_L181_); trivial.
% 19.73/19.89 apply (zenon_L8_); trivial.
% 19.73/19.89 apply zenon_H2c. apply sym_equal. exact zenon_H2b.
% 19.73/19.89 (* end of lemma zenon_L184_ *)
% 19.73/19.89 assert (zenon_L185_ : ((~((op2 (e20) (e21)) = (e20)))\/(~((op2 (e20) (e20)) = (e21)))) -> ((~((op2 (e20) (e21)) = (e20)))\/(~((op2 (e23) (e23)) = (e21)))) -> ((~((op2 (e20) (e21)) = (e20)))\/(~((op2 (e21) (e21)) = (e21)))) -> ((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e20) (e20)) = (e21)))) -> ((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e20) (e20)) = (e23)))) -> ((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e21) (e21)) = (e23)))) -> ((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e20) (e20)) = (e21)))) -> ((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e20) (e20)) = (e22)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e23) (e23)) = (e21)))) -> ((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> ((e21) = (op2 (e23) (e23))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e21) (e21)) = (e22)))) -> ((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e21) (e21)) = (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> ((~((op2 (e23) (e20)) = (e23)))\/(~((op2 (e21) (e21)) = (e20)))) -> (~((op2 (e20) (e20)) = (e20))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> ((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e21) (e21)) = (e22)))) -> ((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e21) (e21)) = (e23)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e10) (e10)) = (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((e11) = (e12))) -> (~((e10) = (e11))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> ((e11) = (op1 (e13) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e11) (e11)) = (e12)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e11) (e11)) = (e13)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e13) (e13)) = (e13)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e11) (e11)) = (e10)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e11) (e11)) = (e12)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e12) (e12)) = (e10)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e10) (e10)) = (e12)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e12) (e12)) = (e13)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e12) (e12)) = (e11)))) -> ((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e11) (e11)) = (e10)))) -> ((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e11) (e11)) = (e13)))) -> (((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 (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)))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> ((h4 (e13)) = (e23)) -> ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) -> (~((h4 (op1 (e12) (e13))) = (op2 (h4 (e12)) (h4 (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e11) (e11)) = (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e12) (e12)) = (e12)))) -> ((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10)))) -> ((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e21) (e21)) = (e23)))) -> ((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e20) (e20)) = (e23)))) -> ((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e20) (e20)) = (e22)))) -> False).
% 19.73/19.89 do 0 intro. intros zenon_H10c zenon_H10d zenon_H127 zenon_H54 zenon_H53 zenon_H52 zenon_H51 zenon_H48 zenon_H3e zenon_H47 zenon_H28 zenon_H1d zenon_H2d zenon_H2b zenon_H2e zenon_H2f zenon_H3d zenon_H4f zenon_H4b zenon_H4c zenon_H50 zenon_H13 zenon_H12 zenon_H152 zenon_H151 zenon_Hf9 zenon_Hb7 zenon_Hb6 zenon_H9a zenon_H94 zenon_H8b zenon_H8d zenon_H84 zenon_Ha1 zenon_Ha5 zenon_Hab zenon_Haf zenon_Hb4 zenon_Hb5 zenon_H6b zenon_H60 zenon_H70 zenon_H6e zenon_H71 zenon_H72 zenon_H80 zenon_Hc0 zenon_Hbf zenon_Hbc zenon_Hbb zenon_Hbd zenon_Hbe zenon_Hb8 zenon_H55 zenon_Hfa zenon_Hf8 zenon_Hf7 zenon_Hf3 zenon_He8 zenon_Hf4 zenon_Hf6 zenon_Hf5 zenon_H1a2 zenon_H14e zenon_H253 zenon_H14a zenon_H24d zenon_H24a zenon_H13e zenon_H244 zenon_H10f zenon_H12b zenon_Hc2 zenon_H236 zenon_H13b zenon_H138 zenon_H141 zenon_H147 zenon_H144 zenon_Hd4 zenon_He3 zenon_H14d zenon_H17f zenon_H155 zenon_H17b zenon_H180 zenon_H10b zenon_H192 zenon_H194 zenon_H10e.
% 19.73/19.89 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_H14 | zenon_intro zenon_H3f ].
% 19.73/19.89 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H15 | zenon_intro zenon_H40 ].
% 19.73/19.89 apply (zenon_L17_); trivial.
% 19.73/19.89 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 19.73/19.89 apply (zenon_L78_); trivial.
% 19.73/19.89 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H16 | zenon_intro zenon_H41 ].
% 19.73/19.89 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H30 | zenon_intro zenon_H3f ].
% 19.73/19.89 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H16c | zenon_intro zenon_H41 ].
% 19.73/19.89 apply (zenon_L179_); trivial.
% 19.73/19.89 apply (zenon_L183_); trivial.
% 19.73/19.89 apply (zenon_L182_); trivial.
% 19.73/19.89 apply (zenon_L183_); trivial.
% 19.73/19.89 apply (zenon_L184_); trivial.
% 19.73/19.89 (* end of lemma zenon_L185_ *)
% 19.73/19.89 assert (zenon_L186_ : ((op2 (e23) (e20)) = (e22)) -> ((op2 (e22) (e20)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> False).
% 19.73/19.89 do 0 intro. intros zenon_H256 zenon_H16e zenon_H257.
% 19.73/19.89 elim (classic ((op2 (e23) (e20)) = (op2 (e23) (e20)))); [ zenon_intro zenon_H178 | zenon_intro zenon_H179 ].
% 19.73/19.89 cut (((op2 (e23) (e20)) = (op2 (e23) (e20))) = ((op2 (e22) (e20)) = (op2 (e23) (e20)))).
% 19.73/19.89 intro zenon_D_pnotp.
% 19.73/19.89 apply zenon_H257.
% 19.73/19.89 rewrite <- zenon_D_pnotp.
% 19.73/19.89 exact zenon_H178.
% 19.73/19.89 cut (((op2 (e23) (e20)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H179].
% 19.73/19.89 cut (((op2 (e23) (e20)) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H258].
% 19.73/19.89 congruence.
% 19.73/19.89 cut (((op2 (e23) (e20)) = (e22)) = ((op2 (e23) (e20)) = (op2 (e22) (e20)))).
% 19.73/19.89 intro zenon_D_pnotp.
% 19.73/19.89 apply zenon_H258.
% 19.73/19.89 rewrite <- zenon_D_pnotp.
% 19.73/19.89 exact zenon_H256.
% 19.73/19.89 cut (((e22) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H259].
% 19.73/19.89 cut (((op2 (e23) (e20)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H179].
% 19.73/19.89 congruence.
% 19.73/19.89 apply zenon_H179. apply refl_equal.
% 19.73/19.89 apply zenon_H259. apply sym_equal. exact zenon_H16e.
% 19.73/19.89 apply zenon_H179. apply refl_equal.
% 19.73/19.89 apply zenon_H179. apply refl_equal.
% 19.73/19.89 (* end of lemma zenon_L186_ *)
% 19.73/19.89 assert (zenon_L187_ : ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> ((op2 (e23) (e21)) = (e22)) -> ((e21) = (op2 (e23) (e23))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> False).
% 19.73/19.89 do 0 intro. intros zenon_H4c zenon_H25a zenon_H2b zenon_H2e zenon_H25b.
% 19.73/19.89 elim (classic ((op2 (e23) (e21)) = (op2 (e23) (e21)))); [ zenon_intro zenon_H204 | zenon_intro zenon_H205 ].
% 19.73/19.89 cut (((op2 (e23) (e21)) = (op2 (e23) (e21))) = ((op2 (e20) (e21)) = (op2 (e23) (e21)))).
% 19.73/19.89 intro zenon_D_pnotp.
% 19.73/19.89 apply zenon_H25b.
% 19.73/19.89 rewrite <- zenon_D_pnotp.
% 19.73/19.89 exact zenon_H204.
% 19.73/19.89 cut (((op2 (e23) (e21)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H205].
% 19.73/19.89 cut (((op2 (e23) (e21)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H25c].
% 19.73/19.89 congruence.
% 19.73/19.89 cut (((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) = ((op2 (e23) (e21)) = (op2 (e20) (e21)))).
% 19.73/19.89 intro zenon_D_pnotp.
% 19.73/19.89 apply zenon_H25c.
% 19.73/19.89 rewrite <- zenon_D_pnotp.
% 19.73/19.89 exact zenon_H4c.
% 19.73/19.89 cut (((op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23))) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H49].
% 19.73/19.89 cut (((e22) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H25d].
% 19.73/19.89 congruence.
% 19.73/19.89 elim (classic ((op2 (e23) (e21)) = (op2 (e23) (e21)))); [ zenon_intro zenon_H204 | zenon_intro zenon_H205 ].
% 19.73/19.89 cut (((op2 (e23) (e21)) = (op2 (e23) (e21))) = ((e22) = (op2 (e23) (e21)))).
% 19.73/19.89 intro zenon_D_pnotp.
% 19.73/19.89 apply zenon_H25d.
% 19.73/19.89 rewrite <- zenon_D_pnotp.
% 19.73/19.89 exact zenon_H204.
% 19.73/19.89 cut (((op2 (e23) (e21)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H205].
% 19.73/19.89 cut (((op2 (e23) (e21)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H25e].
% 19.73/19.89 congruence.
% 19.73/19.89 exact (zenon_H25e zenon_H25a).
% 19.73/19.89 apply zenon_H205. apply refl_equal.
% 19.73/19.89 apply zenon_H205. apply refl_equal.
% 19.73/19.89 apply (zenon_L10_); trivial.
% 19.73/19.89 apply zenon_H205. apply refl_equal.
% 19.73/19.89 apply zenon_H205. apply refl_equal.
% 19.73/19.89 (* end of lemma zenon_L187_ *)
% 19.73/19.89 assert (zenon_L188_ : (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> ((op2 (e23) (e20)) = (e21)) -> False).
% 19.73/19.89 do 0 intro. intros zenon_H25f zenon_H2b zenon_H260.
% 19.73/19.89 cut (((e21) = (op2 (e23) (e23))) = ((op2 (e23) (e20)) = (op2 (e23) (e23)))).
% 19.73/19.89 intro zenon_D_pnotp.
% 19.73/19.89 apply zenon_H25f.
% 19.73/19.89 rewrite <- zenon_D_pnotp.
% 19.73/19.89 exact zenon_H2b.
% 19.73/19.89 cut (((op2 (e23) (e23)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_He5].
% 19.73/19.89 cut (((e21) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H261].
% 19.73/19.89 congruence.
% 19.73/19.89 elim (classic ((op2 (e23) (e20)) = (op2 (e23) (e20)))); [ zenon_intro zenon_H178 | zenon_intro zenon_H179 ].
% 19.73/19.89 cut (((op2 (e23) (e20)) = (op2 (e23) (e20))) = ((e21) = (op2 (e23) (e20)))).
% 19.73/19.89 intro zenon_D_pnotp.
% 19.73/19.89 apply zenon_H261.
% 19.73/19.89 rewrite <- zenon_D_pnotp.
% 19.73/19.89 exact zenon_H178.
% 19.73/19.89 cut (((op2 (e23) (e20)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H179].
% 19.73/19.89 cut (((op2 (e23) (e20)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H262].
% 19.73/19.89 congruence.
% 19.73/19.89 exact (zenon_H262 zenon_H260).
% 19.73/19.89 apply zenon_H179. apply refl_equal.
% 19.73/19.89 apply zenon_H179. apply refl_equal.
% 19.73/19.89 apply zenon_He5. apply refl_equal.
% 19.73/19.89 (* end of lemma zenon_L188_ *)
% 19.73/19.89 assert (zenon_L189_ : (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e20)) = (e22)) -> ((op2 (e23) (e22)) = (e22)) -> False).
% 19.73/19.89 do 0 intro. intros zenon_H263 zenon_H256 zenon_H264.
% 19.73/19.89 cut (((op2 (e23) (e20)) = (e22)) = ((op2 (e23) (e20)) = (op2 (e23) (e22)))).
% 19.73/19.89 intro zenon_D_pnotp.
% 19.73/19.89 apply zenon_H263.
% 19.73/19.89 rewrite <- zenon_D_pnotp.
% 19.73/19.89 exact zenon_H256.
% 19.73/19.89 cut (((e22) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H265].
% 19.73/19.89 cut (((op2 (e23) (e20)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H179].
% 19.73/19.89 congruence.
% 19.73/19.89 apply zenon_H179. apply refl_equal.
% 19.73/19.89 apply zenon_H265. apply sym_equal. exact zenon_H264.
% 19.73/19.89 (* end of lemma zenon_L189_ *)
% 19.73/19.89 assert (zenon_L190_ : ((op1 (e13) (e10)) = (e12)) -> ((op1 (e12) (e10)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> False).
% 19.73/19.89 do 0 intro. intros zenon_H266 zenon_H15b zenon_H267.
% 19.73/19.89 elim (classic ((op1 (e13) (e10)) = (op1 (e13) (e10)))); [ zenon_intro zenon_H164 | zenon_intro zenon_H165 ].
% 19.73/19.89 cut (((op1 (e13) (e10)) = (op1 (e13) (e10))) = ((op1 (e12) (e10)) = (op1 (e13) (e10)))).
% 19.73/19.89 intro zenon_D_pnotp.
% 19.73/19.89 apply zenon_H267.
% 19.73/19.89 rewrite <- zenon_D_pnotp.
% 19.73/19.89 exact zenon_H164.
% 19.73/19.89 cut (((op1 (e13) (e10)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H165].
% 19.73/19.89 cut (((op1 (e13) (e10)) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H268].
% 19.73/19.89 congruence.
% 19.73/19.89 cut (((op1 (e13) (e10)) = (e12)) = ((op1 (e13) (e10)) = (op1 (e12) (e10)))).
% 19.73/19.89 intro zenon_D_pnotp.
% 19.73/19.89 apply zenon_H268.
% 19.73/19.89 rewrite <- zenon_D_pnotp.
% 19.73/19.89 exact zenon_H266.
% 19.73/19.89 cut (((e12) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H269].
% 19.73/19.89 cut (((op1 (e13) (e10)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H165].
% 19.73/19.89 congruence.
% 19.73/19.89 apply zenon_H165. apply refl_equal.
% 19.73/19.89 apply zenon_H269. apply sym_equal. exact zenon_H15b.
% 19.73/19.89 apply zenon_H165. apply refl_equal.
% 19.73/19.89 apply zenon_H165. apply refl_equal.
% 19.73/19.89 (* end of lemma zenon_L190_ *)
% 19.73/19.89 assert (zenon_L191_ : ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (op1 (e13) (e13)))) -> ((op1 (e13) (e11)) = (e12)) -> ((e11) = (op1 (e13) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> False).
% 19.73/19.89 do 0 intro. intros zenon_H8b zenon_H26a zenon_H6e zenon_H71 zenon_H26b.
% 19.73/19.89 elim (classic ((op1 (e13) (e11)) = (op1 (e13) (e11)))); [ zenon_intro zenon_H1fe | zenon_intro zenon_H1ff ].
% 19.73/19.89 cut (((op1 (e13) (e11)) = (op1 (e13) (e11))) = ((op1 (e10) (e11)) = (op1 (e13) (e11)))).
% 19.73/19.89 intro zenon_D_pnotp.
% 19.73/19.89 apply zenon_H26b.
% 19.73/19.89 rewrite <- zenon_D_pnotp.
% 19.73/19.89 exact zenon_H1fe.
% 19.73/19.89 cut (((op1 (e13) (e11)) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H1ff].
% 19.73/19.89 cut (((op1 (e13) (e11)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H26c].
% 19.73/19.89 congruence.
% 19.73/19.89 cut (((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (op1 (e13) (e13)))) = ((op1 (e13) (e11)) = (op1 (e10) (e11)))).
% 19.73/19.89 intro zenon_D_pnotp.
% 19.73/19.89 apply zenon_H26c.
% 19.73/19.89 rewrite <- zenon_D_pnotp.
% 19.73/19.89 exact zenon_H8b.
% 19.73/19.89 cut (((op1 (op1 (e13) (op1 (e13) (e13))) (op1 (e13) (e13))) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H89].
% 19.73/19.89 cut (((e12) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H26d].
% 19.73/19.89 congruence.
% 19.73/19.89 elim (classic ((op1 (e13) (e11)) = (op1 (e13) (e11)))); [ zenon_intro zenon_H1fe | zenon_intro zenon_H1ff ].
% 19.73/19.89 cut (((op1 (e13) (e11)) = (op1 (e13) (e11))) = ((e12) = (op1 (e13) (e11)))).
% 19.73/19.89 intro zenon_D_pnotp.
% 19.73/19.89 apply zenon_H26d.
% 19.73/19.89 rewrite <- zenon_D_pnotp.
% 19.73/19.89 exact zenon_H1fe.
% 19.73/19.89 cut (((op1 (e13) (e11)) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H1ff].
% 19.73/19.89 cut (((op1 (e13) (e11)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H26e].
% 19.73/19.89 congruence.
% 19.73/19.89 exact (zenon_H26e zenon_H26a).
% 19.73/19.89 apply zenon_H1ff. apply refl_equal.
% 19.73/19.89 apply zenon_H1ff. apply refl_equal.
% 19.73/19.89 apply (zenon_L27_); trivial.
% 19.73/19.89 apply zenon_H1ff. apply refl_equal.
% 19.73/19.89 apply zenon_H1ff. apply refl_equal.
% 19.73/19.89 (* end of lemma zenon_L191_ *)
% 19.73/19.89 assert (zenon_L192_ : (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> ((op1 (e13) (e10)) = (e11)) -> False).
% 19.73/19.89 do 0 intro. intros zenon_H26f zenon_H6e zenon_H270.
% 19.73/19.89 cut (((e11) = (op1 (e13) (e13))) = ((op1 (e13) (e10)) = (op1 (e13) (e13)))).
% 19.73/19.89 intro zenon_D_pnotp.
% 19.73/19.89 apply zenon_H26f.
% 19.73/19.89 rewrite <- zenon_D_pnotp.
% 19.73/19.89 exact zenon_H6e.
% 19.73/19.89 cut (((op1 (e13) (e13)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Ha7].
% 19.73/19.89 cut (((e11) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H271].
% 19.73/19.89 congruence.
% 19.73/19.89 elim (classic ((op1 (e13) (e10)) = (op1 (e13) (e10)))); [ zenon_intro zenon_H164 | zenon_intro zenon_H165 ].
% 19.73/19.89 cut (((op1 (e13) (e10)) = (op1 (e13) (e10))) = ((e11) = (op1 (e13) (e10)))).
% 19.73/19.89 intro zenon_D_pnotp.
% 19.73/19.89 apply zenon_H271.
% 19.73/19.89 rewrite <- zenon_D_pnotp.
% 19.73/19.89 exact zenon_H164.
% 19.73/19.89 cut (((op1 (e13) (e10)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H165].
% 19.73/19.89 cut (((op1 (e13) (e10)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H272].
% 19.73/19.89 congruence.
% 19.73/19.89 exact (zenon_H272 zenon_H270).
% 19.73/19.89 apply zenon_H165. apply refl_equal.
% 19.73/19.89 apply zenon_H165. apply refl_equal.
% 19.73/19.89 apply zenon_Ha7. apply refl_equal.
% 19.73/19.89 (* end of lemma zenon_L192_ *)
% 19.73/19.89 assert (zenon_L193_ : (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e10)) = (e12)) -> ((op1 (e13) (e12)) = (e12)) -> False).
% 19.73/19.89 do 0 intro. intros zenon_H273 zenon_H266 zenon_H274.
% 19.73/19.89 cut (((op1 (e13) (e10)) = (e12)) = ((op1 (e13) (e10)) = (op1 (e13) (e12)))).
% 19.73/19.89 intro zenon_D_pnotp.
% 19.73/19.89 apply zenon_H273.
% 19.73/19.89 rewrite <- zenon_D_pnotp.
% 19.73/19.89 exact zenon_H266.
% 19.73/19.89 cut (((e12) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H275].
% 19.73/19.89 cut (((op1 (e13) (e10)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H165].
% 19.73/19.89 congruence.
% 19.73/19.89 apply zenon_H165. apply refl_equal.
% 19.73/19.89 apply zenon_H275. apply sym_equal. exact zenon_H274.
% 19.73/19.89 (* end of lemma zenon_L193_ *)
% 19.73/19.89 assert (zenon_L194_ : ((h4 (e13)) = (e23)) -> ((op1 (e13) (e10)) = (e13)) -> (~((e23) = (h4 (op1 (e13) (e10))))) -> False).
% 19.73/19.89 do 0 intro. intros zenon_H12b zenon_H66 zenon_H276.
% 19.73/19.89 elim (classic ((h4 (op1 (e13) (e10))) = (h4 (op1 (e13) (e10))))); [ zenon_intro zenon_H277 | zenon_intro zenon_H278 ].
% 19.73/19.89 cut (((h4 (op1 (e13) (e10))) = (h4 (op1 (e13) (e10)))) = ((e23) = (h4 (op1 (e13) (e10))))).
% 19.73/19.89 intro zenon_D_pnotp.
% 19.73/19.89 apply zenon_H276.
% 19.73/19.89 rewrite <- zenon_D_pnotp.
% 19.73/19.89 exact zenon_H277.
% 19.73/19.89 cut (((h4 (op1 (e13) (e10))) = (h4 (op1 (e13) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H278].
% 19.73/19.89 cut (((h4 (op1 (e13) (e10))) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H279].
% 19.73/19.89 congruence.
% 19.73/19.89 cut (((h4 (e13)) = (e23)) = ((h4 (op1 (e13) (e10))) = (e23))).
% 19.73/19.89 intro zenon_D_pnotp.
% 19.73/19.89 apply zenon_H279.
% 19.73/19.89 rewrite <- zenon_D_pnotp.
% 19.73/19.89 exact zenon_H12b.
% 19.73/19.89 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H29].
% 19.73/19.89 cut (((h4 (e13)) = (h4 (op1 (e13) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H27a].
% 19.73/19.89 congruence.
% 19.73/19.89 elim (classic ((h4 (op1 (e13) (e10))) = (h4 (op1 (e13) (e10))))); [ zenon_intro zenon_H277 | zenon_intro zenon_H278 ].
% 19.73/19.89 cut (((h4 (op1 (e13) (e10))) = (h4 (op1 (e13) (e10)))) = ((h4 (e13)) = (h4 (op1 (e13) (e10))))).
% 19.73/19.89 intro zenon_D_pnotp.
% 19.73/19.89 apply zenon_H27a.
% 19.73/19.89 rewrite <- zenon_D_pnotp.
% 19.73/19.89 exact zenon_H277.
% 19.73/19.89 cut (((h4 (op1 (e13) (e10))) = (h4 (op1 (e13) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H278].
% 19.73/19.89 cut (((h4 (op1 (e13) (e10))) = (h4 (e13)))); [idtac | apply NNPP; zenon_intro zenon_H27b].
% 19.73/19.89 congruence.
% 19.73/19.89 cut (((op1 (e13) (e10)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H61].
% 19.73/19.89 congruence.
% 19.73/19.89 exact (zenon_H61 zenon_H66).
% 19.73/19.89 apply zenon_H278. apply refl_equal.
% 19.73/19.89 apply zenon_H278. apply refl_equal.
% 19.73/19.89 apply zenon_H29. apply refl_equal.
% 19.73/19.89 apply zenon_H278. apply refl_equal.
% 19.73/19.89 apply zenon_H278. apply refl_equal.
% 19.73/19.89 (* end of lemma zenon_L194_ *)
% 19.73/19.89 assert (zenon_L195_ : ((op2 (e23) (e20)) = (e23)) -> ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e13)) = (e23)) -> ((op1 (e13) (e10)) = (e13)) -> (~((h4 (op1 (e13) (e10))) = (op2 (h4 (e13)) (h4 (e10))))) -> False).
% 19.73/19.89 do 0 intro. intros zenon_H23 zenon_Hc2 zenon_H2e zenon_H12b zenon_H66 zenon_H27c.
% 19.73/19.89 elim (classic ((op2 (h4 (e13)) (h4 (e10))) = (op2 (h4 (e13)) (h4 (e10))))); [ zenon_intro zenon_H27d | zenon_intro zenon_H27e ].
% 19.73/19.89 cut (((op2 (h4 (e13)) (h4 (e10))) = (op2 (h4 (e13)) (h4 (e10)))) = ((h4 (op1 (e13) (e10))) = (op2 (h4 (e13)) (h4 (e10))))).
% 19.73/19.89 intro zenon_D_pnotp.
% 19.73/19.89 apply zenon_H27c.
% 19.73/19.89 rewrite <- zenon_D_pnotp.
% 19.73/19.89 exact zenon_H27d.
% 19.73/19.89 cut (((op2 (h4 (e13)) (h4 (e10))) = (op2 (h4 (e13)) (h4 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H27e].
% 19.73/19.89 cut (((op2 (h4 (e13)) (h4 (e10))) = (h4 (op1 (e13) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H27f].
% 19.73/19.89 congruence.
% 19.73/19.89 cut (((op2 (e23) (e20)) = (e23)) = ((op2 (h4 (e13)) (h4 (e10))) = (h4 (op1 (e13) (e10))))).
% 19.73/19.89 intro zenon_D_pnotp.
% 19.73/19.89 apply zenon_H27f.
% 19.73/19.89 rewrite <- zenon_D_pnotp.
% 19.73/19.89 exact zenon_H23.
% 19.73/19.89 cut (((e23) = (h4 (op1 (e13) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H276].
% 19.73/19.89 cut (((op2 (e23) (e20)) = (op2 (h4 (e13)) (h4 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H280].
% 19.73/19.89 congruence.
% 19.73/19.89 elim (classic ((op2 (h4 (e13)) (h4 (e10))) = (op2 (h4 (e13)) (h4 (e10))))); [ zenon_intro zenon_H27d | zenon_intro zenon_H27e ].
% 19.73/19.89 cut (((op2 (h4 (e13)) (h4 (e10))) = (op2 (h4 (e13)) (h4 (e10)))) = ((op2 (e23) (e20)) = (op2 (h4 (e13)) (h4 (e10))))).
% 19.73/19.89 intro zenon_D_pnotp.
% 19.73/19.89 apply zenon_H280.
% 19.73/19.89 rewrite <- zenon_D_pnotp.
% 19.73/19.89 exact zenon_H27d.
% 19.73/19.89 cut (((op2 (h4 (e13)) (h4 (e10))) = (op2 (h4 (e13)) (h4 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H27e].
% 19.73/19.89 cut (((op2 (h4 (e13)) (h4 (e10))) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H281].
% 19.73/19.89 congruence.
% 19.73/19.89 cut (((h4 (e10)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_Hc1].
% 19.73/19.89 cut (((h4 (e13)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H137].
% 19.73/19.89 congruence.
% 19.73/19.89 exact (zenon_H137 zenon_H12b).
% 19.73/19.89 apply (zenon_L49_); trivial.
% 19.73/19.89 apply zenon_H27e. apply refl_equal.
% 19.73/19.89 apply zenon_H27e. apply refl_equal.
% 19.73/19.89 apply (zenon_L194_); trivial.
% 19.73/19.89 apply zenon_H27e. apply refl_equal.
% 19.73/19.89 apply zenon_H27e. apply refl_equal.
% 19.73/19.89 (* end of lemma zenon_L195_ *)
% 19.73/19.89 assert (zenon_L196_ : (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e12)) = (e12)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op2 (e23) (e20)) = (e23)) -> ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e13)) = (e23)) -> (~((h4 (op1 (e13) (e10))) = (op2 (h4 (e13)) (h4 (e10))))) -> False).
% 19.73/19.89 do 0 intro. intros zenon_H282 zenon_H71 zenon_H161 zenon_H6e zenon_H26f zenon_H274 zenon_H273 zenon_H23 zenon_Hc2 zenon_H2e zenon_H12b zenon_H27c.
% 19.73/19.89 apply (zenon_or_s _ _ zenon_H282); [ zenon_intro zenon_H162 | zenon_intro zenon_H283 ].
% 19.73/19.89 apply (zenon_L99_); trivial.
% 19.73/19.89 apply (zenon_or_s _ _ zenon_H283); [ zenon_intro zenon_H270 | zenon_intro zenon_H284 ].
% 19.73/19.89 apply (zenon_L192_); trivial.
% 19.73/19.89 apply (zenon_or_s _ _ zenon_H284); [ zenon_intro zenon_H266 | zenon_intro zenon_H66 ].
% 19.73/19.89 apply (zenon_L193_); trivial.
% 19.73/19.89 apply (zenon_L195_); trivial.
% 19.73/19.89 (* end of lemma zenon_L196_ *)
% 19.73/19.89 assert (zenon_L197_ : (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e12) (e10)) = (e12)) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (op1 (e13) (e13)))) -> (~((h4 (op1 (e13) (e10))) = (op2 (h4 (e13)) (h4 (e10))))) -> ((h4 (e13)) = (e23)) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) -> ((op2 (e23) (e20)) = (e23)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e13) (e13)) = (e12))) -> False).
% 19.73/19.89 do 0 intro. intros zenon_H285 zenon_H267 zenon_H15b zenon_H26b zenon_H8b zenon_H27c zenon_H12b zenon_H2e zenon_Hc2 zenon_H23 zenon_H273 zenon_H26f zenon_H6e zenon_H161 zenon_H71 zenon_H282 zenon_H1dd.
% 19.73/19.89 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H266 | zenon_intro zenon_H286 ].
% 19.73/19.89 apply (zenon_L190_); trivial.
% 19.73/19.89 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H26a | zenon_intro zenon_H287 ].
% 19.73/19.89 apply (zenon_L191_); trivial.
% 19.73/19.89 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H274 | zenon_intro zenon_H1e0 ].
% 19.73/19.89 apply (zenon_L196_); trivial.
% 19.73/19.89 exact (zenon_H1dd zenon_H1e0).
% 19.73/19.89 (* end of lemma zenon_L197_ *)
% 19.73/19.89 assert (zenon_L198_ : (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e13) (e13)) = (e12))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op2 (e23) (e20)) = (e23)) -> ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e13)) = (e23)) -> (~((h4 (op1 (e13) (e10))) = (op2 (h4 (e13)) (h4 (e10))))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (e12))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e13)) = (e12))) -> False).
% 19.73/19.89 do 0 intro. intros zenon_H155 zenon_H1dd zenon_H282 zenon_H71 zenon_H161 zenon_H6e zenon_H26f zenon_H273 zenon_H23 zenon_Hc2 zenon_H2e zenon_H12b zenon_H27c zenon_H8b zenon_H26b zenon_H267 zenon_H285 zenon_H158 zenon_Heb zenon_H159.
% 19.73/19.89 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H15b | zenon_intro zenon_H15a ].
% 19.73/19.89 apply (zenon_L197_); trivial.
% 19.73/19.89 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H15f | zenon_intro zenon_H15e ].
% 19.73/19.89 exact (zenon_H158 zenon_H15f).
% 19.73/19.89 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hf2 | zenon_intro zenon_H160 ].
% 19.73/19.89 exact (zenon_Heb zenon_Hf2).
% 19.73/19.89 exact (zenon_H159 zenon_H160).
% 19.73/19.89 (* end of lemma zenon_L198_ *)
% 19.73/19.89 assert (zenon_L199_ : (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e22)) = (e22)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e13) (e13)) = (e12))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e13)) = (e23)) -> (~((h4 (op1 (e13) (e10))) = (op2 (h4 (e13)) (h4 (e10))))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (e12))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e13)) = (e12))) -> False).
% 19.73/19.89 do 0 intro. intros zenon_H288 zenon_H175 zenon_H2b zenon_H25f zenon_H264 zenon_H263 zenon_H155 zenon_H1dd zenon_H282 zenon_H71 zenon_H161 zenon_H6e zenon_H26f zenon_H273 zenon_Hc2 zenon_H2e zenon_H12b zenon_H27c zenon_H8b zenon_H26b zenon_H267 zenon_H285 zenon_H158 zenon_Heb zenon_H159.
% 19.73/19.89 apply (zenon_or_s _ _ zenon_H288); [ zenon_intro zenon_H176 | zenon_intro zenon_H289 ].
% 19.73/19.89 apply (zenon_L101_); trivial.
% 19.73/19.89 apply (zenon_or_s _ _ zenon_H289); [ zenon_intro zenon_H260 | zenon_intro zenon_H28a ].
% 19.73/19.89 apply (zenon_L188_); trivial.
% 19.73/19.89 apply (zenon_or_s _ _ zenon_H28a); [ zenon_intro zenon_H256 | zenon_intro zenon_H23 ].
% 19.73/19.89 apply (zenon_L189_); trivial.
% 19.73/19.89 apply (zenon_L198_); trivial.
% 19.73/19.89 (* end of lemma zenon_L199_ *)
% 19.73/19.89 assert (zenon_L200_ : (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e22) (e20)) = (e22)) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> (~((op1 (e12) (e13)) = (e12))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e11)) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (op1 (e13) (e13)))) -> (~((h4 (op1 (e13) (e10))) = (op2 (h4 (e13)) (h4 (e10))))) -> ((h4 (e13)) = (e23)) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e13) (e13)) = (e12))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e23) (e23)) = (e22))) -> False).
% 19.73/19.89 do 0 intro. intros zenon_H28b zenon_H257 zenon_H16e zenon_H25b zenon_H4c zenon_H159 zenon_Heb zenon_H158 zenon_H285 zenon_H267 zenon_H26b zenon_H8b zenon_H27c zenon_H12b zenon_H2e zenon_Hc2 zenon_H273 zenon_H26f zenon_H6e zenon_H161 zenon_H71 zenon_H282 zenon_H1dd zenon_H155 zenon_H263 zenon_H25f zenon_H2b zenon_H175 zenon_H288 zenon_H1e1.
% 19.73/19.89 apply (zenon_or_s _ _ zenon_H28b); [ zenon_intro zenon_H256 | zenon_intro zenon_H28c ].
% 19.73/19.89 apply (zenon_L186_); trivial.
% 19.73/19.89 apply (zenon_or_s _ _ zenon_H28c); [ zenon_intro zenon_H25a | zenon_intro zenon_H28d ].
% 19.73/19.89 apply (zenon_L187_); trivial.
% 19.73/19.89 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H264 | zenon_intro zenon_H1e6 ].
% 19.73/19.89 apply (zenon_L199_); trivial.
% 19.73/19.89 exact (zenon_H1e1 zenon_H1e6).
% 19.73/19.89 (* end of lemma zenon_L200_ *)
% 19.73/19.89 assert (zenon_L201_ : ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e10) (e10)) = (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((e11) = (e12))) -> (~((e10) = (e11))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> ((e11) = (op1 (e13) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e11) (e11)) = (e12)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e11) (e11)) = (e13)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e13) (e13)) = (e13)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e11) (e11)) = (e10)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e11) (e11)) = (e12)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e12) (e12)) = (e10)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e10) (e10)) = (e12)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e12) (e12)) = (e13)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e12) (e12)) = (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e13) (e13)) = (e12)))) -> ((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e11) (e11)) = (e13)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e23) (e23)) = (e22))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e13)) = (e23)) -> (~((h4 (op1 (e13) (e10))) = (op2 (h4 (e13)) (h4 (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> ((e21) = (op2 (e23) (e23))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e21)) = (e22))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e23)) = (e22))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> ((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e12) (e12)) = (e12)))) -> False).
% 19.73/19.89 do 0 intro. intros zenon_Hf9 zenon_Hb7 zenon_Hb6 zenon_H9a zenon_H94 zenon_H8b zenon_H8d zenon_H84 zenon_Ha1 zenon_Ha5 zenon_Hab zenon_Haf zenon_Hb4 zenon_Hb5 zenon_H6b zenon_H60 zenon_H70 zenon_H6e zenon_H71 zenon_H72 zenon_H80 zenon_Hc0 zenon_Hbf zenon_Hbc zenon_Hbb zenon_Hbd zenon_Hbe zenon_Hb8 zenon_H56 zenon_H55 zenon_Hfa zenon_Hf8 zenon_Hf7 zenon_Hf3 zenon_He8 zenon_Hf4 zenon_Hf6 zenon_Hf5 zenon_H1e3 zenon_H17f zenon_H28b zenon_H1e1 zenon_H175 zenon_H25f zenon_H263 zenon_H155 zenon_H267 zenon_H26b zenon_H282 zenon_Hc2 zenon_H12b zenon_H27c zenon_H273 zenon_H26f zenon_H161 zenon_H285 zenon_H288 zenon_H2b zenon_H2e zenon_H4c zenon_H25b zenon_H257 zenon_H16a zenon_H16b zenon_H16c zenon_H167 zenon_H17b zenon_H180.
% 19.73/19.89 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H57 | zenon_intro zenon_Haa ].
% 19.73/19.89 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H58 | zenon_intro zenon_H9b ].
% 19.73/19.89 apply (zenon_L45_); trivial.
% 19.73/19.89 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H58 | zenon_intro zenon_H74 ].
% 19.73/19.89 apply (zenon_L48_); trivial.
% 19.73/19.89 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H58 | zenon_intro zenon_Heb ].
% 19.73/19.89 apply (zenon_L96_); trivial.
% 19.73/19.89 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H58 | zenon_intro zenon_H1dd ].
% 19.73/19.89 apply (zenon_L96_); trivial.
% 19.73/19.89 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H158 | zenon_intro zenon_Haa ].
% 19.73/19.89 apply (zenon_or_s _ _ zenon_H17f); [ zenon_intro zenon_H159 | zenon_intro zenon_H75 ].
% 19.73/19.89 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H16e | zenon_intro zenon_H16d ].
% 19.73/19.89 apply (zenon_L200_); trivial.
% 19.73/19.89 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H172 | zenon_intro zenon_H171 ].
% 19.73/19.89 exact (zenon_H16a zenon_H172).
% 19.73/19.89 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H174 | zenon_intro zenon_H173 ].
% 19.73/19.89 exact (zenon_H16b zenon_H174).
% 19.73/19.89 exact (zenon_H16c zenon_H173).
% 19.73/19.89 apply (zenon_L66_); trivial.
% 19.73/19.89 apply (zenon_L43_); trivial.
% 19.73/19.89 apply (zenon_L65_); trivial.
% 19.73/19.89 (* end of lemma zenon_L201_ *)
% 19.73/19.89 assert (zenon_L202_ : ((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e12) (e12)) = (e12)))) -> ((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e10) (e10)) = (e11)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e22) (e23)) = (e22))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e21)) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((h4 (op1 (e13) (e10))) = (op2 (h4 (e13)) (h4 (e10))))) -> ((h4 (e13)) = (e23)) -> ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e23)) = (e22))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e11) (e11)) = (e13)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e13) (e13)) = (e12)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e12) (e12)) = (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e12) (e12)) = (e13)))) -> ((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e10) (e10)) = (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e12) (e12)) = (e10)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e11) (e11)) = (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e11) (e11)) = (e10)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e13) (e13)) = (e13)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e11) (e11)) = (e13)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e11) (e11)) = (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e10) (e10)) = (e12)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11)))) -> False).
% 19.74/19.90 do 0 intro. intros zenon_H10b zenon_H180 zenon_H17b zenon_H167 zenon_H16c zenon_H16b zenon_H16a zenon_H257 zenon_H25b zenon_H4c zenon_H2e zenon_H2b zenon_H288 zenon_H285 zenon_H161 zenon_H26f zenon_H273 zenon_H27c zenon_H12b zenon_Hc2 zenon_H282 zenon_H26b zenon_H267 zenon_H155 zenon_H263 zenon_H25f zenon_H175 zenon_H1e1 zenon_H28b zenon_H17f zenon_H1e3 zenon_Hf5 zenon_Hf6 zenon_Hf4 zenon_He8 zenon_Hf3 zenon_Hf7 zenon_Hf8 zenon_Hfa zenon_H55 zenon_Hb8 zenon_Hbe zenon_Hbd zenon_Hbb zenon_Hbc zenon_Hbf zenon_Hc0 zenon_H80 zenon_H72 zenon_H71 zenon_H6e zenon_H70 zenon_H60 zenon_H6b zenon_Hb5 zenon_Hb4 zenon_Haf zenon_Hab zenon_Ha5 zenon_Ha1 zenon_H84 zenon_H8d zenon_H8b zenon_H94 zenon_H9a zenon_Hb6 zenon_Hb7 zenon_Hf9.
% 19.74/19.90 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_H56 | zenon_intro zenon_H56 ].
% 19.74/19.90 apply (zenon_L201_); trivial.
% 19.74/19.90 apply (zenon_L201_); trivial.
% 19.74/19.90 (* end of lemma zenon_L202_ *)
% 19.74/19.90 assert (zenon_L203_ : ((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e21) (e21)) = (e23)))) -> ((~((op2 (e23) (e20)) = (e23)))\/(~((op2 (e21) (e21)) = (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e21) (e21)) = (e21)))) -> ((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e21) (e21)) = (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23)))) -> ((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e23) (e23)) = (e21)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (e23))) -> (~((op2 (e20) (e20)) = (e20))) -> ((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e20) (e20)) = (e22)))) -> ((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e20) (e20)) = (e21)))) -> (~((op2 (e20) (e20)) = (e22))) -> ((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e20) (e20)) = (e21)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e10) (e10)) = (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((e11) = (e12))) -> (~((e10) = (e11))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> ((e11) = (op1 (e13) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e11) (e11)) = (e12)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e11) (e11)) = (e13)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e13) (e13)) = (e13)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e11) (e11)) = (e10)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e11) (e11)) = (e12)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e12) (e12)) = (e10)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e10) (e10)) = (e12)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e12) (e12)) = (e13)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e12) (e12)) = (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e13) (e13)) = (e12)))) -> ((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e11) (e11)) = (e13)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e23) (e23)) = (e22))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e13)) = (e23)) -> (~((h4 (op1 (e13) (e10))) = (op2 (h4 (e13)) (h4 (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> ((e21) = (op2 (e23) (e23))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e21)) = (e22))) -> (~((op2 (e22) (e22)) = (e22))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> ((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e12) (e12)) = (e12)))) -> ((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10)))) -> False).
% 19.74/19.90 do 0 intro. intros zenon_H192 zenon_H50 zenon_H4b zenon_H4f zenon_H3d zenon_H2f zenon_H2d zenon_H1d zenon_H28 zenon_H47 zenon_H3e zenon_H41 zenon_H13 zenon_H48 zenon_H51 zenon_H40 zenon_H54 zenon_Hf9 zenon_Hb7 zenon_Hb6 zenon_H9a zenon_H94 zenon_H8b zenon_H8d zenon_H84 zenon_Ha1 zenon_Ha5 zenon_Hab zenon_Haf zenon_Hb4 zenon_Hb5 zenon_H6b zenon_H60 zenon_H70 zenon_H6e zenon_H71 zenon_H72 zenon_H80 zenon_Hc0 zenon_Hbf zenon_Hbc zenon_Hbb zenon_Hbd zenon_Hbe zenon_Hb8 zenon_H55 zenon_Hfa zenon_Hf8 zenon_Hf7 zenon_Hf3 zenon_He8 zenon_Hf4 zenon_Hf6 zenon_Hf5 zenon_H1e3 zenon_H17f zenon_H28b zenon_H1e1 zenon_H175 zenon_H25f zenon_H263 zenon_H155 zenon_H267 zenon_H26b zenon_H282 zenon_Hc2 zenon_H12b zenon_H27c zenon_H273 zenon_H26f zenon_H161 zenon_H285 zenon_H288 zenon_H2b zenon_H2e zenon_H4c zenon_H25b zenon_H257 zenon_H16a zenon_H16b zenon_H167 zenon_H17b zenon_H180 zenon_H10b.
% 19.74/19.90 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H16c | zenon_intro zenon_H32 ].
% 19.74/19.90 apply (zenon_L202_); trivial.
% 19.74/19.90 apply (zenon_L69_); trivial.
% 19.74/19.90 (* end of lemma zenon_L203_ *)
% 19.74/19.90 assert (zenon_L204_ : ((~((op2 (e22) (e21)) = (e22)))\/(~((op2 (e23) (e23)) = (e21)))) -> ((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e12) (e12)) = (e12)))) -> ((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e10) (e10)) = (e11)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((h4 (op1 (e13) (e10))) = (op2 (h4 (e13)) (h4 (e10))))) -> ((h4 (e13)) = (e23)) -> ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e23)) = (e22))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e11) (e11)) = (e13)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e13) (e13)) = (e12)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e12) (e12)) = (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e12) (e12)) = (e13)))) -> ((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e10) (e10)) = (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e12) (e12)) = (e10)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e11) (e11)) = (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e11) (e11)) = (e10)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e13) (e13)) = (e13)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e11) (e11)) = (e13)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e11) (e11)) = (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e10) (e10)) = (e12)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (e22))) -> (~((op2 (e20) (e20)) = (e21))) -> (~((op2 (e20) (e20)) = (e20))) -> ((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e20) (e20)) = (e23)))) -> False).
% 19.74/19.90 do 0 intro. intros zenon_H193 zenon_H10b zenon_H180 zenon_H17b zenon_H167 zenon_H16b zenon_H257 zenon_H25b zenon_H4c zenon_H2e zenon_H2b zenon_H288 zenon_H285 zenon_H161 zenon_H26f zenon_H273 zenon_H27c zenon_H12b zenon_Hc2 zenon_H282 zenon_H26b zenon_H267 zenon_H155 zenon_H263 zenon_H25f zenon_H175 zenon_H1e1 zenon_H28b zenon_H17f zenon_H1e3 zenon_Hf5 zenon_Hf6 zenon_Hf4 zenon_He8 zenon_Hf3 zenon_Hf7 zenon_Hf8 zenon_Hfa zenon_H55 zenon_Hb8 zenon_Hbe zenon_Hbd zenon_Hbb zenon_Hbc zenon_Hbf zenon_Hc0 zenon_H80 zenon_H72 zenon_H71 zenon_H6e zenon_H70 zenon_H60 zenon_H6b zenon_Hb5 zenon_Hb4 zenon_Haf zenon_Hab zenon_Ha5 zenon_Ha1 zenon_H84 zenon_H8d zenon_H8b zenon_H94 zenon_H9a zenon_Hb6 zenon_Hb7 zenon_Hf9 zenon_H3e zenon_H40 zenon_H3f zenon_H13 zenon_H194.
% 19.74/19.90 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H16a | zenon_intro zenon_H2c ].
% 19.74/19.90 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H16c | zenon_intro zenon_H41 ].
% 19.74/19.90 apply (zenon_L202_); trivial.
% 19.74/19.90 apply (zenon_L8_); trivial.
% 19.74/19.90 apply zenon_H2c. apply sym_equal. exact zenon_H2b.
% 19.74/19.90 (* end of lemma zenon_L204_ *)
% 19.74/19.90 assert (zenon_L205_ : ((~((op2 (e20) (e21)) = (e20)))\/(~((op2 (e23) (e23)) = (e21)))) -> ((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e21) (e21)) = (e21)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> (~((op2 (e20) (e20)) = (e20))) -> ((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e21) (e21)) = (e23)))) -> ((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e23) (e23)) = (e21)))) -> ((e21) = (op2 (e23) (e23))) -> ((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (e21))) -> ((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e20) (e20)) = (e22)))) -> (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((~((op2 (e23) (e20)) = (e23)))\/(~((op2 (e21) (e21)) = (e20)))) -> ((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e20) (e20)) = (e23)))) -> ((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e21) (e21)) = (e22)))) -> ((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e23) (e23)) = (e22)))) -> ((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e20) (e20)) = (e23)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e10) (e10)) = (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((e11) = (e12))) -> (~((e10) = (e11))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> ((e11) = (op1 (e13) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e11) (e11)) = (e12)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e11) (e11)) = (e13)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e13) (e13)) = (e13)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e11) (e11)) = (e10)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e11) (e11)) = (e12)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e12) (e12)) = (e10)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e10) (e10)) = (e12)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e12) (e12)) = (e13)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e12) (e12)) = (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e13) (e13)) = (e12)))) -> ((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e11) (e11)) = (e13)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e13)) = (e23)) -> (~((h4 (op1 (e13) (e10))) = (op2 (h4 (e13)) (h4 (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> ((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e12) (e12)) = (e12)))) -> ((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10)))) -> ((~((op2 (e22) (e21)) = (e22)))\/(~((op2 (e23) (e23)) = (e21)))) -> ((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e22) (e22)) = (e22)))) -> ((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e21) (e21)) = (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e20) (e20)) = (e21)))) -> ((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e20) (e20)) = (e21)))) -> ((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e20) (e20)) = (e22)))) -> False).
% 19.74/19.90 do 0 intro. intros zenon_H10d zenon_H4f zenon_H12 zenon_H13 zenon_H52 zenon_H47 zenon_H2b zenon_H28 zenon_H1d zenon_H3e zenon_H3f zenon_H48 zenon_H2d zenon_H2e zenon_H4c zenon_H4b zenon_H50 zenon_H53 zenon_H152 zenon_H1e7 zenon_H194 zenon_Hf9 zenon_Hb7 zenon_Hb6 zenon_H9a zenon_H94 zenon_H8b zenon_H8d zenon_H84 zenon_Ha1 zenon_Ha5 zenon_Hab zenon_Haf zenon_Hb4 zenon_Hb5 zenon_H6b zenon_H60 zenon_H70 zenon_H6e zenon_H71 zenon_H72 zenon_H80 zenon_Hc0 zenon_Hbf zenon_Hbc zenon_Hbb zenon_Hbd zenon_Hbe zenon_Hb8 zenon_H55 zenon_Hfa zenon_Hf8 zenon_Hf7 zenon_Hf3 zenon_He8 zenon_Hf4 zenon_Hf6 zenon_Hf5 zenon_H1e3 zenon_H17f zenon_H28b zenon_H175 zenon_H25f zenon_H263 zenon_H155 zenon_H267 zenon_H26b zenon_H282 zenon_Hc2 zenon_H12b zenon_H27c zenon_H273 zenon_H26f zenon_H161 zenon_H285 zenon_H288 zenon_H25b zenon_H257 zenon_H167 zenon_H17b zenon_H180 zenon_H10b zenon_H193 zenon_H195 zenon_H3d zenon_H2f zenon_H51 zenon_H54 zenon_H10e.
% 19.74/19.90 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H14 | zenon_intro zenon_H2c ].
% 19.74/19.90 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H15 | zenon_intro zenon_H40 ].
% 19.74/19.90 apply (zenon_L16_); trivial.
% 19.74/19.90 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 19.74/19.90 apply (zenon_L78_); trivial.
% 19.74/19.90 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H15 | zenon_intro zenon_H16b ].
% 19.74/19.90 apply (zenon_L95_); trivial.
% 19.74/19.90 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H15 | zenon_intro zenon_H1e1 ].
% 19.74/19.90 apply (zenon_L95_); trivial.
% 19.74/19.90 apply (zenon_L204_); trivial.
% 19.74/19.90 apply zenon_H2c. apply sym_equal. exact zenon_H2b.
% 19.74/19.90 (* end of lemma zenon_L205_ *)
% 19.74/19.90 assert (zenon_L206_ : ((~((op2 (e20) (e21)) = (e20)))\/(~((op2 (e20) (e20)) = (e21)))) -> ((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e20) (e20)) = (e21)))) -> ((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e20) (e20)) = (e23)))) -> ((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e21) (e21)) = (e23)))) -> ((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e20) (e20)) = (e21)))) -> ((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e20) (e20)) = (e22)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e23) (e23)) = (e21)))) -> ((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> ((e21) = (op2 (e23) (e23))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e21) (e21)) = (e22)))) -> ((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e21) (e21)) = (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> ((~((op2 (e23) (e20)) = (e23)))\/(~((op2 (e21) (e21)) = (e20)))) -> (~((op2 (e20) (e20)) = (e20))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> ((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e20) (e20)) = (e23)))) -> ((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e21) (e21)) = (e23)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e10) (e10)) = (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((e11) = (e12))) -> (~((e10) = (e11))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> ((e11) = (op1 (e13) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e11) (e11)) = (e12)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e11) (e11)) = (e13)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e13) (e13)) = (e13)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e11) (e11)) = (e10)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e11) (e11)) = (e12)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e12) (e12)) = (e10)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e10) (e10)) = (e12)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e12) (e12)) = (e13)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e12) (e12)) = (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e13) (e13)) = (e12)))) -> ((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e11) (e11)) = (e13)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e13)) = (e23)) -> (~((h4 (op1 (e13) (e10))) = (op2 (h4 (e13)) (h4 (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> ((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e12) (e12)) = (e12)))) -> ((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10)))) -> ((~((op2 (e20) (e21)) = (e20)))\/(~((op2 (e23) (e23)) = (e21)))) -> ((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e21) (e21)) = (e22)))) -> ((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e23) (e23)) = (e22)))) -> ((~((op2 (e22) (e21)) = (e22)))\/(~((op2 (e23) (e23)) = (e21)))) -> ((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e22) (e22)) = (e22)))) -> ((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e20) (e20)) = (e22)))) -> ((~((op2 (e22) (e21)) = (e22)))\/(~((op2 (e20) (e20)) = (e21)))) -> False).
% 19.74/19.90 do 0 intro. intros zenon_H10c zenon_H54 zenon_H53 zenon_H52 zenon_H51 zenon_H48 zenon_H3e zenon_H47 zenon_H28 zenon_H1d zenon_H2d zenon_H2b zenon_H2e zenon_H2f zenon_H3d zenon_H4f zenon_H4b zenon_H4c zenon_H50 zenon_H13 zenon_H12 zenon_H194 zenon_H192 zenon_Hf9 zenon_Hb7 zenon_Hb6 zenon_H9a zenon_H94 zenon_H8b zenon_H8d zenon_H84 zenon_Ha1 zenon_Ha5 zenon_Hab zenon_Haf zenon_Hb4 zenon_Hb5 zenon_H6b zenon_H60 zenon_H70 zenon_H6e zenon_H71 zenon_H72 zenon_H80 zenon_Hc0 zenon_Hbf zenon_Hbc zenon_Hbb zenon_Hbd zenon_Hbe zenon_Hb8 zenon_H55 zenon_Hfa zenon_Hf8 zenon_Hf7 zenon_Hf3 zenon_He8 zenon_Hf4 zenon_Hf6 zenon_Hf5 zenon_H1e3 zenon_H17f zenon_H28b zenon_H175 zenon_H25f zenon_H263 zenon_H155 zenon_H267 zenon_H26b zenon_H282 zenon_Hc2 zenon_H12b zenon_H27c zenon_H273 zenon_H26f zenon_H161 zenon_H285 zenon_H288 zenon_H25b zenon_H257 zenon_H167 zenon_H17b zenon_H180 zenon_H10b zenon_H10d zenon_H152 zenon_H1e7 zenon_H193 zenon_H195 zenon_H10e zenon_H196.
% 19.74/19.90 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_H14 | zenon_intro zenon_H3f ].
% 19.74/19.90 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H15 | zenon_intro zenon_H40 ].
% 19.74/19.90 apply (zenon_L17_); trivial.
% 19.74/19.90 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 19.74/19.90 apply (zenon_L78_); trivial.
% 19.74/19.90 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H15 | zenon_intro zenon_H16b ].
% 19.74/19.90 apply (zenon_L95_); trivial.
% 19.74/19.90 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H15 | zenon_intro zenon_H1e1 ].
% 19.74/19.90 apply (zenon_L95_); trivial.
% 19.74/19.90 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H16a | zenon_intro zenon_H3f ].
% 19.74/19.90 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H16c | zenon_intro zenon_H41 ].
% 19.74/19.90 apply (zenon_L202_); trivial.
% 19.74/19.90 apply (zenon_L203_); trivial.
% 19.74/19.90 apply (zenon_L205_); trivial.
% 19.74/19.90 apply (zenon_L205_); trivial.
% 19.74/19.90 (* end of lemma zenon_L206_ *)
% 19.74/19.90 assert (zenon_L207_ : (~((h4 (op1 (e13) (e11))) = (op2 (h4 (e13)) (h4 (e11))))) -> ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) -> ((op1 (e13) (e11)) = (e10)) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((h4 (e13)) = (e23)) -> False).
% 19.74/19.90 do 0 intro. intros zenon_H28e zenon_Hc2 zenon_H28f zenon_Hfc zenon_H12b.
% 19.74/19.90 cut (((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) = ((h4 (op1 (e13) (e11))) = (op2 (h4 (e13)) (h4 (e11))))).
% 19.74/19.90 intro zenon_D_pnotp.
% 19.74/19.90 apply zenon_H28e.
% 19.74/19.90 rewrite <- zenon_D_pnotp.
% 19.74/19.90 exact zenon_Hc2.
% 19.74/19.90 cut (((op2 (e23) (op2 (e23) (e23))) = (op2 (h4 (e13)) (h4 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H290].
% 19.74/19.90 cut (((h4 (e10)) = (h4 (op1 (e13) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H291].
% 19.74/19.90 congruence.
% 19.74/19.90 elim (classic ((h4 (op1 (e13) (e11))) = (h4 (op1 (e13) (e11))))); [ zenon_intro zenon_H292 | zenon_intro zenon_H293 ].
% 19.74/19.90 cut (((h4 (op1 (e13) (e11))) = (h4 (op1 (e13) (e11)))) = ((h4 (e10)) = (h4 (op1 (e13) (e11))))).
% 19.74/19.90 intro zenon_D_pnotp.
% 19.74/19.90 apply zenon_H291.
% 19.74/19.90 rewrite <- zenon_D_pnotp.
% 19.74/19.90 exact zenon_H292.
% 19.74/19.90 cut (((h4 (op1 (e13) (e11))) = (h4 (op1 (e13) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H293].
% 19.74/19.90 cut (((h4 (op1 (e13) (e11))) = (h4 (e10)))); [idtac | apply NNPP; zenon_intro zenon_H294].
% 19.74/19.90 congruence.
% 19.74/19.90 cut (((op1 (e13) (e11)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H295].
% 19.74/19.90 congruence.
% 19.74/19.90 exact (zenon_H295 zenon_H28f).
% 19.74/19.90 apply zenon_H293. apply refl_equal.
% 19.74/19.90 apply zenon_H293. apply refl_equal.
% 19.74/19.90 cut (((op2 (e23) (e23)) = (h4 (e11)))); [idtac | apply NNPP; zenon_intro zenon_H116].
% 19.74/19.90 cut (((e23) = (h4 (e13)))); [idtac | apply NNPP; zenon_intro zenon_H296].
% 19.74/19.90 congruence.
% 19.74/19.90 apply zenon_H296. apply sym_equal. exact zenon_H12b.
% 19.74/19.90 apply zenon_H116. apply sym_equal. exact zenon_Hfc.
% 19.74/19.90 (* end of lemma zenon_L207_ *)
% 19.74/19.90 assert (zenon_L208_ : ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((op1 (e13) (e12)) = (e10)) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False).
% 19.74/19.90 do 0 intro. intros zenon_H71 zenon_H297 zenon_H6e zenon_H298.
% 19.74/19.90 elim (classic ((op1 (e13) (e12)) = (op1 (e13) (e12)))); [ zenon_intro zenon_H299 | zenon_intro zenon_H29a ].
% 19.74/19.90 cut (((op1 (e13) (e12)) = (op1 (e13) (e12))) = ((op1 (e13) (e11)) = (op1 (e13) (e12)))).
% 19.74/19.90 intro zenon_D_pnotp.
% 19.74/19.90 apply zenon_H298.
% 19.74/19.90 rewrite <- zenon_D_pnotp.
% 19.74/19.90 exact zenon_H299.
% 19.74/19.90 cut (((op1 (e13) (e12)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H29a].
% 19.74/19.90 cut (((op1 (e13) (e12)) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H29b].
% 19.74/19.90 congruence.
% 19.74/19.90 cut (((e10) = (op1 (e13) (op1 (e13) (e13)))) = ((op1 (e13) (e12)) = (op1 (e13) (e11)))).
% 19.74/19.90 intro zenon_D_pnotp.
% 19.74/19.90 apply zenon_H29b.
% 19.74/19.90 rewrite <- zenon_D_pnotp.
% 19.74/19.90 exact zenon_H71.
% 19.74/19.90 cut (((op1 (e13) (op1 (e13) (e13))) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H6d].
% 19.74/19.90 cut (((e10) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H29c].
% 19.74/19.90 congruence.
% 19.74/19.90 elim (classic ((op1 (e13) (e12)) = (op1 (e13) (e12)))); [ zenon_intro zenon_H299 | zenon_intro zenon_H29a ].
% 19.74/19.90 cut (((op1 (e13) (e12)) = (op1 (e13) (e12))) = ((e10) = (op1 (e13) (e12)))).
% 19.74/19.90 intro zenon_D_pnotp.
% 19.74/19.90 apply zenon_H29c.
% 19.74/19.90 rewrite <- zenon_D_pnotp.
% 19.74/19.90 exact zenon_H299.
% 19.74/19.90 cut (((op1 (e13) (e12)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H29a].
% 19.74/19.90 cut (((op1 (e13) (e12)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H29d].
% 19.74/19.90 congruence.
% 19.74/19.90 exact (zenon_H29d zenon_H297).
% 19.74/19.90 apply zenon_H29a. apply refl_equal.
% 19.74/19.90 apply zenon_H29a. apply refl_equal.
% 19.74/19.90 apply (zenon_L22_); trivial.
% 19.74/19.90 apply zenon_H29a. apply refl_equal.
% 19.74/19.90 apply zenon_H29a. apply refl_equal.
% 19.74/19.90 (* end of lemma zenon_L208_ *)
% 19.74/19.90 assert (zenon_L209_ : (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((h4 (e13)) = (e23)) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) -> (~((h4 (op1 (e13) (e11))) = (op2 (h4 (e13)) (h4 (e11))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e11) = (op1 (e13) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e13) (e13)) = (e10))) -> False).
% 19.74/19.90 do 0 intro. intros zenon_H29e zenon_H161 zenon_H12b zenon_Hfc zenon_Hc2 zenon_H28e zenon_H298 zenon_H6e zenon_H71 zenon_H29f.
% 19.74/19.90 apply (zenon_or_s _ _ zenon_H29e); [ zenon_intro zenon_H162 | zenon_intro zenon_H2a0 ].
% 19.74/19.90 apply (zenon_L99_); trivial.
% 19.74/19.90 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H28f | zenon_intro zenon_H2a1 ].
% 19.74/19.90 apply (zenon_L207_); trivial.
% 19.74/19.90 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H297 | zenon_intro zenon_H2a2 ].
% 19.74/19.90 apply (zenon_L208_); trivial.
% 19.74/19.90 exact (zenon_H29f zenon_H2a2).
% 19.74/19.90 (* end of lemma zenon_L209_ *)
% 19.74/19.90 assert (zenon_L210_ : ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e10) (e10)) = (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((e11) = (e12))) -> (~((e10) = (e11))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> ((e11) = (op1 (e13) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e11) (e11)) = (e12)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e11) (e11)) = (e13)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e13) (e13)) = (e13)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e11) (e11)) = (e10)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e11) (e11)) = (e12)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e12) (e12)) = (e10)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e10) (e10)) = (e12)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e12) (e12)) = (e13)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e12) (e12)) = (e11)))) -> ((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e10) (e10)) = (e11)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e11) (e11)) = (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((h4 (e13)) = (e23)) -> ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) -> (~((h4 (op1 (e13) (e11))) = (op2 (h4 (e13)) (h4 (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e13) (e13)) = (e10)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e12) (e12)) = (e12)))) -> False).
% 19.74/19.90 do 0 intro. intros zenon_Hf9 zenon_Hb7 zenon_Hb6 zenon_H9a zenon_H94 zenon_H8b zenon_H8d zenon_H84 zenon_Ha1 zenon_Ha5 zenon_Hab zenon_Haf zenon_Hb4 zenon_Hb5 zenon_H6b zenon_H60 zenon_H70 zenon_H6e zenon_H71 zenon_H72 zenon_H80 zenon_Hc0 zenon_Hbf zenon_Hbc zenon_Hbb zenon_Hbd zenon_Hbe zenon_Hb8 zenon_H56 zenon_H55 zenon_Hfa zenon_Hf8 zenon_Hf7 zenon_Hf3 zenon_He8 zenon_Hf4 zenon_Hf6 zenon_Hf5 zenon_H17b zenon_H155 zenon_H17f zenon_H29e zenon_H298 zenon_Hfc zenon_H12b zenon_Hc2 zenon_H28e zenon_H161 zenon_H2a3 zenon_H180.
% 19.74/19.90 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H57 | zenon_intro zenon_Haa ].
% 19.74/19.90 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H58 | zenon_intro zenon_H9b ].
% 19.74/19.90 apply (zenon_L45_); trivial.
% 19.74/19.90 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H58 | zenon_intro zenon_H74 ].
% 19.74/19.90 apply (zenon_L48_); trivial.
% 19.74/19.90 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H58 | zenon_intro zenon_Heb ].
% 19.74/19.90 apply (zenon_L96_); trivial.
% 19.74/19.90 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H73 | zenon_intro zenon_Haa ].
% 19.74/19.90 apply (zenon_or_s _ _ zenon_H2a3); [ zenon_intro zenon_H15d | zenon_intro zenon_H29f ].
% 19.74/19.90 apply (zenon_L110_); trivial.
% 19.74/19.90 apply (zenon_L209_); trivial.
% 19.74/19.90 apply (zenon_L65_); trivial.
% 19.74/19.90 apply (zenon_L65_); trivial.
% 19.74/19.90 (* end of lemma zenon_L210_ *)
% 19.74/19.90 assert (zenon_L211_ : ((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e12) (e12)) = (e12)))) -> ((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e13) (e13)) = (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((h4 (op1 (e13) (e11))) = (op2 (h4 (e13)) (h4 (e11))))) -> ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) -> ((h4 (e13)) = (e23)) -> ((h4 (e11)) = (op2 (e23) (e23))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e11) (e11)) = (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e12) (e12)) = (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e12) (e12)) = (e13)))) -> ((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e10) (e10)) = (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e12) (e12)) = (e10)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e11) (e11)) = (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e11) (e11)) = (e10)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e13) (e13)) = (e13)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e11) (e11)) = (e13)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e11) (e11)) = (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e10) (e10)) = (e12)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11)))) -> False).
% 19.74/19.90 do 0 intro. intros zenon_H10b zenon_H180 zenon_H2a3 zenon_H161 zenon_H28e zenon_Hc2 zenon_H12b zenon_Hfc zenon_H298 zenon_H29e zenon_H17f zenon_H155 zenon_H17b zenon_Hf5 zenon_Hf6 zenon_Hf4 zenon_He8 zenon_Hf3 zenon_Hf7 zenon_Hf8 zenon_Hfa zenon_H55 zenon_Hb8 zenon_Hbe zenon_Hbd zenon_Hbb zenon_Hbc zenon_Hbf zenon_Hc0 zenon_H80 zenon_H72 zenon_H71 zenon_H6e zenon_H70 zenon_H60 zenon_H6b zenon_Hb5 zenon_Hb4 zenon_Haf zenon_Hab zenon_Ha5 zenon_Ha1 zenon_H84 zenon_H8d zenon_H8b zenon_H94 zenon_H9a zenon_Hb6 zenon_Hb7 zenon_Hf9.
% 19.74/19.90 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_H56 | zenon_intro zenon_H56 ].
% 19.74/19.90 apply (zenon_L210_); trivial.
% 19.74/19.90 apply (zenon_L210_); trivial.
% 19.74/19.90 (* end of lemma zenon_L211_ *)
% 19.74/19.90 assert (zenon_L212_ : (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e23) (e20)) = (e22)) -> (~((op2 (e22) (e21)) = (e22))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e23)) = (e22))) -> False).
% 19.74/19.90 do 0 intro. intros zenon_H167 zenon_H257 zenon_H256 zenon_H16a zenon_H16b zenon_H16c.
% 19.74/19.90 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H16e | zenon_intro zenon_H16d ].
% 19.74/19.90 apply (zenon_L186_); trivial.
% 19.74/19.90 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H172 | zenon_intro zenon_H171 ].
% 19.74/19.90 exact (zenon_H16a zenon_H172).
% 19.74/19.90 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H174 | zenon_intro zenon_H173 ].
% 19.74/19.90 exact (zenon_H16b zenon_H174).
% 19.74/19.90 exact (zenon_H16c zenon_H173).
% 19.74/19.90 (* end of lemma zenon_L212_ *)
% 19.74/19.90 assert (zenon_L213_ : (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e13) (e10)) = (e12)) -> (~((op1 (e12) (e11)) = (e12))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e13)) = (e12))) -> False).
% 19.74/19.90 do 0 intro. intros zenon_H155 zenon_H267 zenon_H266 zenon_H158 zenon_Heb zenon_H159.
% 19.74/19.90 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H15b | zenon_intro zenon_H15a ].
% 19.74/19.90 apply (zenon_L190_); trivial.
% 19.74/19.90 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H15f | zenon_intro zenon_H15e ].
% 19.74/19.90 exact (zenon_H158 zenon_H15f).
% 19.74/19.90 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hf2 | zenon_intro zenon_H160 ].
% 19.74/19.90 exact (zenon_Heb zenon_Hf2).
% 19.74/19.90 exact (zenon_H159 zenon_H160).
% 19.74/19.90 (* end of lemma zenon_L213_ *)
% 19.74/19.90 assert (zenon_L214_ : ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> ((op1 (e13) (e12)) = (e12)) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> (~((e22) = (h4 (op1 (e13) (e12))))) -> False).
% 19.74/19.90 do 0 intro. intros zenon_H10f zenon_H274 zenon_H4c zenon_H2a4.
% 19.74/19.90 elim (classic ((h4 (op1 (e13) (e12))) = (h4 (op1 (e13) (e12))))); [ zenon_intro zenon_H2a5 | zenon_intro zenon_H2a6 ].
% 19.74/19.90 cut (((h4 (op1 (e13) (e12))) = (h4 (op1 (e13) (e12)))) = ((e22) = (h4 (op1 (e13) (e12))))).
% 19.74/19.90 intro zenon_D_pnotp.
% 19.74/19.90 apply zenon_H2a4.
% 19.74/19.90 rewrite <- zenon_D_pnotp.
% 19.74/19.90 exact zenon_H2a5.
% 19.74/19.90 cut (((h4 (op1 (e13) (e12))) = (h4 (op1 (e13) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H2a6].
% 19.74/19.90 cut (((h4 (op1 (e13) (e12))) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H2a7].
% 19.74/19.90 congruence.
% 19.74/19.90 cut (((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) = ((h4 (op1 (e13) (e12))) = (e22))).
% 19.74/19.90 intro zenon_D_pnotp.
% 19.74/19.90 apply zenon_H2a7.
% 19.74/19.90 rewrite <- zenon_D_pnotp.
% 19.74/19.90 exact zenon_H10f.
% 19.74/19.90 cut (((op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23))) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H119].
% 19.74/19.90 cut (((h4 (e12)) = (h4 (op1 (e13) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H2a8].
% 19.74/19.90 congruence.
% 19.74/19.90 elim (classic ((h4 (op1 (e13) (e12))) = (h4 (op1 (e13) (e12))))); [ zenon_intro zenon_H2a5 | zenon_intro zenon_H2a6 ].
% 19.74/19.90 cut (((h4 (op1 (e13) (e12))) = (h4 (op1 (e13) (e12)))) = ((h4 (e12)) = (h4 (op1 (e13) (e12))))).
% 19.74/19.90 intro zenon_D_pnotp.
% 19.74/19.90 apply zenon_H2a8.
% 19.74/19.90 rewrite <- zenon_D_pnotp.
% 19.74/19.90 exact zenon_H2a5.
% 19.74/19.90 cut (((h4 (op1 (e13) (e12))) = (h4 (op1 (e13) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H2a6].
% 19.74/19.90 cut (((h4 (op1 (e13) (e12))) = (h4 (e12)))); [idtac | apply NNPP; zenon_intro zenon_H2a9].
% 19.74/19.90 congruence.
% 19.74/19.90 cut (((op1 (e13) (e12)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H2aa].
% 19.74/19.90 congruence.
% 19.74/19.90 exact (zenon_H2aa zenon_H274).
% 19.74/19.90 apply zenon_H2a6. apply refl_equal.
% 19.74/19.90 apply zenon_H2a6. apply refl_equal.
% 19.74/19.90 apply zenon_H119. apply sym_equal. exact zenon_H4c.
% 19.74/19.90 apply zenon_H2a6. apply refl_equal.
% 19.74/19.90 apply zenon_H2a6. apply refl_equal.
% 19.74/19.90 (* end of lemma zenon_L214_ *)
% 19.74/19.90 assert (zenon_L215_ : ((op2 (e23) (e22)) = (e22)) -> ((h4 (e13)) = (e23)) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> ((op1 (e13) (e12)) = (e12)) -> (~((h4 (op1 (e13) (e12))) = (op2 (h4 (e13)) (h4 (e12))))) -> False).
% 19.74/19.90 do 0 intro. intros zenon_H264 zenon_H12b zenon_H10f zenon_H4c zenon_H274 zenon_H2ab.
% 19.74/19.90 elim (classic ((op2 (h4 (e13)) (h4 (e12))) = (op2 (h4 (e13)) (h4 (e12))))); [ zenon_intro zenon_H2ac | zenon_intro zenon_H2ad ].
% 19.74/19.90 cut (((op2 (h4 (e13)) (h4 (e12))) = (op2 (h4 (e13)) (h4 (e12)))) = ((h4 (op1 (e13) (e12))) = (op2 (h4 (e13)) (h4 (e12))))).
% 19.74/19.90 intro zenon_D_pnotp.
% 19.74/19.90 apply zenon_H2ab.
% 19.74/19.90 rewrite <- zenon_D_pnotp.
% 19.74/19.90 exact zenon_H2ac.
% 19.74/19.90 cut (((op2 (h4 (e13)) (h4 (e12))) = (op2 (h4 (e13)) (h4 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H2ad].
% 19.74/19.90 cut (((op2 (h4 (e13)) (h4 (e12))) = (h4 (op1 (e13) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H2ae].
% 19.74/19.90 congruence.
% 19.74/19.90 cut (((op2 (e23) (e22)) = (e22)) = ((op2 (h4 (e13)) (h4 (e12))) = (h4 (op1 (e13) (e12))))).
% 19.74/19.90 intro zenon_D_pnotp.
% 19.74/19.90 apply zenon_H2ae.
% 19.74/19.90 rewrite <- zenon_D_pnotp.
% 19.74/19.90 exact zenon_H264.
% 19.74/19.90 cut (((e22) = (h4 (op1 (e13) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H2a4].
% 19.74/19.90 cut (((op2 (e23) (e22)) = (op2 (h4 (e13)) (h4 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H2af].
% 19.74/19.90 congruence.
% 19.74/19.90 elim (classic ((op2 (h4 (e13)) (h4 (e12))) = (op2 (h4 (e13)) (h4 (e12))))); [ zenon_intro zenon_H2ac | zenon_intro zenon_H2ad ].
% 19.74/19.90 cut (((op2 (h4 (e13)) (h4 (e12))) = (op2 (h4 (e13)) (h4 (e12)))) = ((op2 (e23) (e22)) = (op2 (h4 (e13)) (h4 (e12))))).
% 19.74/19.90 intro zenon_D_pnotp.
% 19.74/19.90 apply zenon_H2af.
% 19.74/19.90 rewrite <- zenon_D_pnotp.
% 19.74/19.90 exact zenon_H2ac.
% 19.74/19.90 cut (((op2 (h4 (e13)) (h4 (e12))) = (op2 (h4 (e13)) (h4 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H2ad].
% 19.74/19.90 cut (((op2 (h4 (e13)) (h4 (e12))) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H2b0].
% 19.74/19.90 congruence.
% 19.74/19.90 cut (((h4 (e12)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H118].
% 19.74/19.90 cut (((h4 (e13)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H137].
% 19.74/19.90 congruence.
% 19.74/19.90 exact (zenon_H137 zenon_H12b).
% 19.74/19.90 apply (zenon_L73_); trivial.
% 19.74/19.90 apply zenon_H2ad. apply refl_equal.
% 19.74/19.90 apply zenon_H2ad. apply refl_equal.
% 19.74/19.90 apply (zenon_L214_); trivial.
% 19.74/19.90 apply zenon_H2ad. apply refl_equal.
% 19.74/19.90 apply zenon_H2ad. apply refl_equal.
% 19.74/19.90 (* end of lemma zenon_L215_ *)
% 19.74/19.90 assert (zenon_L216_ : (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e13)) = (e12))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e11)) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (op1 (e13) (e13)))) -> (~((h4 (op1 (e13) (e12))) = (op2 (h4 (e13)) (h4 (e12))))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> ((h4 (e13)) = (e23)) -> ((op2 (e23) (e22)) = (e22)) -> (~((op1 (e13) (e13)) = (e12))) -> False).
% 19.74/19.90 do 0 intro. intros zenon_H285 zenon_H159 zenon_Heb zenon_H158 zenon_H267 zenon_H155 zenon_H26b zenon_H71 zenon_H6e zenon_H8b zenon_H2ab zenon_H4c zenon_H10f zenon_H12b zenon_H264 zenon_H1dd.
% 19.74/19.90 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H266 | zenon_intro zenon_H286 ].
% 19.74/19.90 apply (zenon_L213_); trivial.
% 19.74/19.90 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H26a | zenon_intro zenon_H287 ].
% 19.74/19.90 apply (zenon_L191_); trivial.
% 19.74/19.90 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H274 | zenon_intro zenon_H1e0 ].
% 19.74/19.90 apply (zenon_L215_); trivial.
% 19.74/19.90 exact (zenon_H1dd zenon_H1e0).
% 19.74/19.90 (* end of lemma zenon_L216_ *)
% 19.74/19.90 assert (zenon_L217_ : ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e12) (e12)) = (e12)))) -> ((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e10) (e10)) = (e11)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e23) (e23)) = (e22))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((h4 (op1 (e13) (e12))) = (op2 (h4 (e13)) (h4 (e12))))) -> ((h4 (e13)) = (e23)) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((e21) = (op2 (e23) (e23))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e21)) = (e22))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e23)) = (e22))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> ((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e11) (e11)) = (e13)))) -> (~((op1 (e10) (e10)) = (e12))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e13) (e13)) = (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (e10))) -> (~((op1 (e10) (e10)) = (e10))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e11) (e11)) = (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e10) (e10)) = (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((e11) = (e12))) -> (~((e10) = (e11))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e13) (e13)) = (e13)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e11) (e11)) = (e13)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e12) (e12)) = (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e12) (e12)) = (e13)))) -> ((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e10) (e10)) = (e12)))) -> ((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e12) (e12)) = (e10)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e11) (e11)) = (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (~((op1 (e11) (e11)) = (e12))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> False).
% 19.74/19.90 do 0 intro. intros zenon_H180 zenon_H17b zenon_H28b zenon_H1e1 zenon_H155 zenon_H267 zenon_H26b zenon_H2ab zenon_H12b zenon_H10f zenon_H285 zenon_H2b zenon_H2e zenon_H4c zenon_H25b zenon_H257 zenon_H16a zenon_H16b zenon_H16c zenon_H167 zenon_H17f zenon_H9b zenon_H1e3 zenon_H55 zenon_H57 zenon_H56 zenon_Hc0 zenon_Hbe zenon_Hbd zenon_Hbb zenon_Hb8 zenon_Hb6 zenon_H9a zenon_H94 zenon_H8b zenon_H8d zenon_H84 zenon_Ha1 zenon_Ha5 zenon_Hab zenon_Haf zenon_Hb4 zenon_H60 zenon_Hb5 zenon_Hbc zenon_Hbf zenon_Hf5 zenon_Hf6 zenon_Hf4 zenon_H6b zenon_He8 zenon_Hf3 zenon_Hf7 zenon_Hf8 zenon_H72 zenon_H71 zenon_H6e zenon_H74 zenon_H70.
% 19.74/19.90 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H58 | zenon_intro zenon_Heb ].
% 19.74/19.90 apply (zenon_L96_); trivial.
% 19.74/19.90 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H58 | zenon_intro zenon_H1dd ].
% 19.74/19.90 apply (zenon_L96_); trivial.
% 19.74/19.90 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H59 | zenon_intro zenon_H75 ].
% 19.74/19.90 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H73 | zenon_intro zenon_Haa ].
% 19.74/19.90 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H158 | zenon_intro zenon_Haa ].
% 19.74/19.90 apply (zenon_or_s _ _ zenon_H17f); [ zenon_intro zenon_H159 | zenon_intro zenon_H75 ].
% 19.74/19.90 apply (zenon_or_s _ _ zenon_H28b); [ zenon_intro zenon_H256 | zenon_intro zenon_H28c ].
% 19.74/19.90 apply (zenon_L212_); trivial.
% 19.74/19.90 apply (zenon_or_s _ _ zenon_H28c); [ zenon_intro zenon_H25a | zenon_intro zenon_H28d ].
% 19.74/19.90 apply (zenon_L187_); trivial.
% 19.74/19.90 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H264 | zenon_intro zenon_H1e6 ].
% 19.74/19.90 apply (zenon_L216_); trivial.
% 19.74/19.90 exact (zenon_H1e1 zenon_H1e6).
% 19.74/19.90 apply (zenon_L66_); trivial.
% 19.74/19.90 apply (zenon_L58_); trivial.
% 19.74/19.90 apply (zenon_L34_); trivial.
% 19.74/19.90 apply (zenon_L66_); trivial.
% 19.74/19.90 (* end of lemma zenon_L217_ *)
% 19.74/19.90 assert (zenon_L218_ : ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e11) (e11)) = (e12)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e12) (e12)) = (e10)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e10) (e10)) = (e12)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e12) (e12)) = (e13)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e12) (e12)) = (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e13) (e13)) = (e12)))) -> ((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e11) (e11)) = (e13)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e22) (e23)) = (e22))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e21)) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> ((h4 (e13)) = (e23)) -> (~((h4 (op1 (e13) (e12))) = (op2 (h4 (e13)) (h4 (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op2 (e23) (e23)) = (e22))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e12) (e12)) = (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (e10))) -> (~((op1 (e10) (e10)) = (e10))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e11) (e11)) = (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (e12))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e11) (e11)) = (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e10) (e10)) = (e12)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e13) (e13)) = (e13)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e11) (e11)) = (e13)))) -> False).
% 19.74/19.90 do 0 intro. intros zenon_Hfa zenon_Hf8 zenon_Hf7 zenon_Hf3 zenon_He8 zenon_Hf4 zenon_Hf6 zenon_Hf5 zenon_Hbe zenon_H1e3 zenon_H17f zenon_H167 zenon_H16c zenon_H16b zenon_H16a zenon_H257 zenon_H25b zenon_H4c zenon_H2e zenon_H2b zenon_H285 zenon_H10f zenon_H12b zenon_H2ab zenon_H26b zenon_H267 zenon_H155 zenon_H1e1 zenon_H28b zenon_H17b zenon_H180 zenon_H55 zenon_H57 zenon_H56 zenon_Hbb zenon_Hb8 zenon_H9b zenon_Hc0 zenon_H80 zenon_H72 zenon_H71 zenon_H6e zenon_H70 zenon_H60 zenon_H6b zenon_Hb5 zenon_Hb4 zenon_Haf zenon_Hab zenon_Ha5 zenon_Ha1 zenon_H84 zenon_H8d zenon_H8b zenon_H94 zenon_H9a zenon_Hb6 zenon_Hb7 zenon_Hbd zenon_Hbc zenon_Hbf.
% 19.74/19.90 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H58 | zenon_intro zenon_H74 ].
% 19.74/19.90 apply (zenon_L48_); trivial.
% 19.74/19.90 apply (zenon_L217_); trivial.
% 19.74/19.90 (* end of lemma zenon_L218_ *)
% 19.74/19.90 assert (zenon_L219_ : ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e10) (e10)) = (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((e11) = (e12))) -> (~((e10) = (e11))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> ((e11) = (op1 (e13) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e11) (e11)) = (e12)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e11) (e11)) = (e13)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e13) (e13)) = (e13)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e11) (e11)) = (e10)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e11) (e11)) = (e12)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e12) (e12)) = (e10)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e10) (e10)) = (e12)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e12) (e12)) = (e13)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e12) (e12)) = (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e13) (e13)) = (e12)))) -> ((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e11) (e11)) = (e13)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e22) (e23)) = (e22))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e21)) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> ((h4 (e13)) = (e23)) -> (~((h4 (op1 (e13) (e12))) = (op2 (h4 (e13)) (h4 (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op2 (e23) (e23)) = (e22))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e12) (e12)) = (e12)))) -> False).
% 19.75/19.90 do 0 intro. intros zenon_Hf9 zenon_Hb7 zenon_Hb6 zenon_H9a zenon_H94 zenon_H8b zenon_H8d zenon_H84 zenon_Ha1 zenon_Ha5 zenon_Hab zenon_Haf zenon_Hb4 zenon_Hb5 zenon_H6b zenon_H60 zenon_H70 zenon_H6e zenon_H71 zenon_H72 zenon_H80 zenon_Hc0 zenon_Hbf zenon_Hbc zenon_Hbb zenon_Hbd zenon_Hbe zenon_Hb8 zenon_H56 zenon_H55 zenon_Hfa zenon_Hf8 zenon_Hf7 zenon_Hf3 zenon_He8 zenon_Hf4 zenon_Hf6 zenon_Hf5 zenon_H1e3 zenon_H17f zenon_H167 zenon_H16c zenon_H16b zenon_H16a zenon_H257 zenon_H25b zenon_H4c zenon_H2e zenon_H2b zenon_H285 zenon_H10f zenon_H12b zenon_H2ab zenon_H26b zenon_H267 zenon_H155 zenon_H1e1 zenon_H28b zenon_H17b zenon_H180.
% 19.75/19.90 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H57 | zenon_intro zenon_Haa ].
% 19.75/19.90 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H58 | zenon_intro zenon_H9b ].
% 19.75/19.90 apply (zenon_L45_); trivial.
% 19.75/19.90 apply (zenon_L218_); trivial.
% 19.75/19.90 apply (zenon_L65_); trivial.
% 19.75/19.90 (* end of lemma zenon_L219_ *)
% 19.75/19.90 assert (zenon_L220_ : ((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e12) (e12)) = (e12)))) -> ((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e10) (e10)) = (e11)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e23) (e23)) = (e22))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((h4 (op1 (e13) (e12))) = (op2 (h4 (e13)) (h4 (e12))))) -> ((h4 (e13)) = (e23)) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((e21) = (op2 (e23) (e23))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e21)) = (e22))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e23)) = (e22))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> ((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e11) (e11)) = (e13)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e13) (e13)) = (e12)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e12) (e12)) = (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e12) (e12)) = (e13)))) -> ((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e10) (e10)) = (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e12) (e12)) = (e10)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e11) (e11)) = (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e11) (e11)) = (e10)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e13) (e13)) = (e13)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e11) (e11)) = (e13)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e11) (e11)) = (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> ((e11) = (op1 (e13) (e13))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e10) (e10)) = (e12)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11)))) -> False).
% 19.75/19.90 do 0 intro. intros zenon_H10b zenon_H180 zenon_H17b zenon_H28b zenon_H1e1 zenon_H155 zenon_H267 zenon_H26b zenon_H2ab zenon_H12b zenon_H10f zenon_H285 zenon_H2b zenon_H2e zenon_H4c zenon_H25b zenon_H257 zenon_H16a zenon_H16b zenon_H16c zenon_H167 zenon_H17f zenon_H1e3 zenon_Hf5 zenon_Hf6 zenon_Hf4 zenon_He8 zenon_Hf3 zenon_Hf7 zenon_Hf8 zenon_Hfa zenon_H55 zenon_Hb8 zenon_Hbe zenon_Hbd zenon_Hbb zenon_Hbc zenon_Hbf zenon_Hc0 zenon_H80 zenon_H72 zenon_H71 zenon_H6e zenon_H70 zenon_H60 zenon_H6b zenon_Hb5 zenon_Hb4 zenon_Haf zenon_Hab zenon_Ha5 zenon_Ha1 zenon_H84 zenon_H8d zenon_H8b zenon_H94 zenon_H9a zenon_Hb6 zenon_Hb7 zenon_Hf9.
% 19.75/19.90 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_H56 | zenon_intro zenon_H56 ].
% 19.75/19.90 apply (zenon_L219_); trivial.
% 19.75/19.90 apply (zenon_L219_); trivial.
% 19.75/19.90 (* end of lemma zenon_L220_ *)
% 19.75/19.90 assert (zenon_L221_ : ((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e21) (e21)) = (e23)))) -> ((~((op2 (e23) (e20)) = (e23)))\/(~((op2 (e21) (e21)) = (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e21) (e21)) = (e21)))) -> ((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e21) (e21)) = (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23)))) -> ((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e23) (e23)) = (e21)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (e23))) -> (~((op2 (e20) (e20)) = (e20))) -> ((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e20) (e20)) = (e22)))) -> ((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e20) (e20)) = (e21)))) -> (~((op2 (e20) (e20)) = (e22))) -> ((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e20) (e20)) = (e21)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e10) (e10)) = (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((e11) = (e12))) -> (~((e10) = (e11))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> ((e11) = (op1 (e13) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e11) (e11)) = (e12)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e11) (e11)) = (e13)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e13) (e13)) = (e13)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e11) (e11)) = (e10)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e11) (e11)) = (e12)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e12) (e12)) = (e10)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e10) (e10)) = (e12)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e12) (e12)) = (e13)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e12) (e12)) = (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e13) (e13)) = (e12)))) -> ((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e11) (e11)) = (e13)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e21)) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> ((h4 (e13)) = (e23)) -> (~((h4 (op1 (e13) (e12))) = (op2 (h4 (e13)) (h4 (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op2 (e23) (e23)) = (e22))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e12) (e12)) = (e12)))) -> ((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10)))) -> False).
% 19.75/19.90 do 0 intro. intros zenon_H192 zenon_H50 zenon_H4b zenon_H4f zenon_H3d zenon_H2f zenon_H2d zenon_H1d zenon_H28 zenon_H47 zenon_H3e zenon_H41 zenon_H13 zenon_H48 zenon_H51 zenon_H40 zenon_H54 zenon_Hf9 zenon_Hb7 zenon_Hb6 zenon_H9a zenon_H94 zenon_H8b zenon_H8d zenon_H84 zenon_Ha1 zenon_Ha5 zenon_Hab zenon_Haf zenon_Hb4 zenon_Hb5 zenon_H6b zenon_H60 zenon_H70 zenon_H6e zenon_H71 zenon_H72 zenon_H80 zenon_Hc0 zenon_Hbf zenon_Hbc zenon_Hbb zenon_Hbd zenon_Hbe zenon_Hb8 zenon_H55 zenon_Hfa zenon_Hf8 zenon_Hf7 zenon_Hf3 zenon_He8 zenon_Hf4 zenon_Hf6 zenon_Hf5 zenon_H1e3 zenon_H17f zenon_H167 zenon_H16b zenon_H16a zenon_H257 zenon_H25b zenon_H4c zenon_H2e zenon_H2b zenon_H285 zenon_H10f zenon_H12b zenon_H2ab zenon_H26b zenon_H267 zenon_H155 zenon_H1e1 zenon_H28b zenon_H17b zenon_H180 zenon_H10b.
% 19.75/19.90 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H16c | zenon_intro zenon_H32 ].
% 19.75/19.90 apply (zenon_L220_); trivial.
% 19.75/19.90 apply (zenon_L69_); trivial.
% 19.75/19.90 (* end of lemma zenon_L221_ *)
% 19.75/19.90 assert (zenon_L222_ : ((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e20) (e20)) = (e23)))) -> ((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e20) (e20)) = (e21)))) -> (~((op2 (e20) (e20)) = (e22))) -> ((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e20) (e20)) = (e21)))) -> ((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e20) (e20)) = (e22)))) -> (~((op2 (e20) (e20)) = (e20))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e23) (e23)) = (e21)))) -> ((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e21) (e21)) = (e22)))) -> ((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e21) (e21)) = (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((~((op2 (e23) (e20)) = (e23)))\/(~((op2 (e21) (e21)) = (e20)))) -> ((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e21) (e21)) = (e23)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e10) (e10)) = (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((e11) = (e12))) -> (~((e10) = (e11))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> ((e11) = (op1 (e13) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e11) (e11)) = (e12)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e11) (e11)) = (e13)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e13) (e13)) = (e13)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e11) (e11)) = (e10)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e11) (e11)) = (e12)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e12) (e12)) = (e10)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e10) (e10)) = (e12)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e12) (e12)) = (e13)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e12) (e12)) = (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e13) (e13)) = (e12)))) -> ((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e11) (e11)) = (e13)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e21)) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> ((e21) = (op2 (e23) (e23))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> ((h4 (e13)) = (e23)) -> (~((h4 (op1 (e13) (e12))) = (op2 (h4 (e13)) (h4 (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op2 (e23) (e23)) = (e22))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e12) (e12)) = (e12)))) -> ((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10)))) -> False).
% 19.75/19.90 do 0 intro. intros zenon_H194 zenon_H54 zenon_H40 zenon_H51 zenon_H48 zenon_H13 zenon_H3e zenon_H47 zenon_H28 zenon_H1d zenon_H2d zenon_H2f zenon_H3d zenon_H4f zenon_H4b zenon_H50 zenon_H192 zenon_Hf9 zenon_Hb7 zenon_Hb6 zenon_H9a zenon_H94 zenon_H8b zenon_H8d zenon_H84 zenon_Ha1 zenon_Ha5 zenon_Hab zenon_Haf zenon_Hb4 zenon_Hb5 zenon_H6b zenon_H60 zenon_H70 zenon_H6e zenon_H71 zenon_H72 zenon_H80 zenon_Hc0 zenon_Hbf zenon_Hbc zenon_Hbb zenon_Hbd zenon_Hbe zenon_Hb8 zenon_H55 zenon_Hfa zenon_Hf8 zenon_Hf7 zenon_Hf3 zenon_He8 zenon_Hf4 zenon_Hf6 zenon_Hf5 zenon_H1e3 zenon_H17f zenon_H167 zenon_H16b zenon_H16a zenon_H257 zenon_H25b zenon_H4c zenon_H2e zenon_H2b zenon_H285 zenon_H10f zenon_H12b zenon_H2ab zenon_H26b zenon_H267 zenon_H155 zenon_H1e1 zenon_H28b zenon_H17b zenon_H180 zenon_H10b.
% 19.75/19.90 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H16c | zenon_intro zenon_H41 ].
% 19.75/19.90 apply (zenon_L220_); trivial.
% 19.75/19.90 apply (zenon_L221_); trivial.
% 19.75/19.90 (* end of lemma zenon_L222_ *)
% 19.75/19.90 assert (zenon_L223_ : ((~((op2 (e20) (e21)) = (e20)))\/(~((op2 (e23) (e23)) = (e21)))) -> ((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e20) (e20)) = (e21)))) -> ((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e20) (e20)) = (e23)))) -> ((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e21) (e21)) = (e23)))) -> ((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e20) (e20)) = (e21)))) -> ((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e20) (e20)) = (e22)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e23) (e23)) = (e21)))) -> ((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> ((e21) = (op2 (e23) (e23))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e21) (e21)) = (e22)))) -> ((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e21) (e21)) = (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> ((~((op2 (e23) (e20)) = (e23)))\/(~((op2 (e21) (e21)) = (e20)))) -> (~((op2 (e20) (e20)) = (e20))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> ((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e21) (e21)) = (e22)))) -> ((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e23) (e23)) = (e22)))) -> ((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e20) (e20)) = (e23)))) -> ((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e21) (e21)) = (e23)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e10) (e10)) = (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (op1 (e13) (op1 (e13) (e13))) (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((e11) = (e12))) -> (~((e10) = (e11))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> ((e11) = (op1 (e13) (e13))) -> ((e10) = (op1 (e13) (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e11) (e11)) = (e12)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e11) (e11)) = (e13)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e13) (e13)) = (e13)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e11) (e11)) = (e10)))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e11) (e11)) = (e12)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e11) (e11)) = (e11)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e13) (e13)) = (e11)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e12) (e12)) = (e10)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e10) (e10)) = (e12)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e12) (e12)) = (e13)))) -> ((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e12) (e12)) = (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e13) (e13)) = (e12)))) -> ((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e11) (e11)) = (e13)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> ((h4 (e13)) = (e23)) -> (~((h4 (op1 (e13) (e12))) = (op2 (h4 (e13)) (h4 (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e10) (e10)) = (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e12) (e12)) = (e12)))) -> ((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10)))) -> ((~((op2 (e22) (e21)) = (e22)))\/(~((op2 (e23) (e23)) = (e21)))) -> ((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e22) (e22)) = (e22)))) -> ((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e20) (e20)) = (e22)))) -> False).
% 19.75/19.90 do 0 intro. intros zenon_H10d zenon_H54 zenon_H53 zenon_H52 zenon_H51 zenon_H48 zenon_H3e zenon_H47 zenon_H28 zenon_H1d zenon_H2d zenon_H2b zenon_H2e zenon_H2f zenon_H3d zenon_H4f zenon_H4b zenon_H4c zenon_H50 zenon_H13 zenon_H12 zenon_H152 zenon_H1e7 zenon_H194 zenon_H192 zenon_Hf9 zenon_Hb7 zenon_Hb6 zenon_H9a zenon_H94 zenon_H8b zenon_H8d zenon_H84 zenon_Ha1 zenon_Ha5 zenon_Hab zenon_Haf zenon_Hb4 zenon_Hb5 zenon_H6b zenon_H60 zenon_H70 zenon_H6e zenon_H71 zenon_H72 zenon_H80 zenon_Hc0 zenon_Hbf zenon_Hbc zenon_Hbb zenon_Hbd zenon_Hbe zenon_Hb8 zenon_H55 zenon_Hfa zenon_Hf8 zenon_Hf7 zenon_Hf3 zenon_He8 zenon_Hf4 zenon_Hf6 zenon_Hf5 zenon_H1e3 zenon_H17f zenon_H167 zenon_H257 zenon_H25b zenon_H285 zenon_H10f zenon_H12b zenon_H2ab zenon_H26b zenon_H267 zenon_H155 zenon_H28b zenon_H17b zenon_H180 zenon_H10b zenon_H193 zenon_H195 zenon_H10e.
% 19.75/19.90 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H14 | zenon_intro zenon_H2c ].
% 19.75/19.90 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H15 | zenon_intro zenon_H40 ].
% 19.75/19.90 apply (zenon_L17_); trivial.
% 19.75/19.90 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ].
% 19.75/19.90 apply (zenon_L78_); trivial.
% 19.75/19.90 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H15 | zenon_intro zenon_H16b ].
% 19.75/19.90 apply (zenon_L95_); trivial.
% 19.75/19.90 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H15 | zenon_intro zenon_H1e1 ].
% 19.75/19.90 apply (zenon_L95_); trivial.
% 19.75/19.90 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H16a | zenon_intro zenon_H2c ].
% 19.75/19.90 apply (zenon_L222_); trivial.
% 19.75/19.90 apply zenon_H2c. apply sym_equal. exact zenon_H2b.
% 19.75/19.90 apply zenon_H2c. apply sym_equal. exact zenon_H2b.
% 19.75/19.90 (* end of lemma zenon_L223_ *)
% 19.75/19.90 assert (zenon_L224_ : (~((h4 (op1 (e13) (e13))) = (op2 (h4 (e13)) (h4 (e13))))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((e11) = (op1 (e13) (e13))) -> ((h4 (e13)) = (e23)) -> False).
% 19.75/19.90 do 0 intro. intros zenon_H2b1 zenon_Hfc zenon_H6e zenon_H12b.
% 19.75/19.90 cut (((h4 (e11)) = (op2 (e23) (e23))) = ((h4 (op1 (e13) (e13))) = (op2 (h4 (e13)) (h4 (e13))))).
% 19.75/19.90 intro zenon_D_pnotp.
% 19.75/19.90 apply zenon_H2b1.
% 19.75/19.90 rewrite <- zenon_D_pnotp.
% 19.75/19.90 exact zenon_Hfc.
% 19.75/19.90 cut (((op2 (e23) (e23)) = (op2 (h4 (e13)) (h4 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H2b2].
% 19.75/19.90 cut (((h4 (e11)) = (h4 (op1 (e13) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H2b3].
% 19.75/19.90 congruence.
% 19.75/19.90 elim (classic ((h4 (op1 (e13) (e13))) = (h4 (op1 (e13) (e13))))); [ zenon_intro zenon_H2b4 | zenon_intro zenon_H2b5 ].
% 19.75/19.90 cut (((h4 (op1 (e13) (e13))) = (h4 (op1 (e13) (e13)))) = ((h4 (e11)) = (h4 (op1 (e13) (e13))))).
% 19.75/19.90 intro zenon_D_pnotp.
% 19.75/19.90 apply zenon_H2b3.
% 19.75/19.90 rewrite <- zenon_D_pnotp.
% 19.75/19.90 exact zenon_H2b4.
% 19.75/19.90 cut (((h4 (op1 (e13) (e13))) = (h4 (op1 (e13) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H2b5].
% 19.75/19.90 cut (((h4 (op1 (e13) (e13))) = (h4 (e11)))); [idtac | apply NNPP; zenon_intro zenon_H2b6].
% 19.75/19.90 congruence.
% 19.75/19.90 cut (((op1 (e13) (e13)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H6f].
% 19.75/19.90 congruence.
% 19.75/19.90 apply zenon_H6f. apply sym_equal. exact zenon_H6e.
% 19.75/19.90 apply zenon_H2b5. apply refl_equal.
% 19.75/19.90 apply zenon_H2b5. apply refl_equal.
% 19.75/19.90 cut (((e23) = (h4 (e13)))); [idtac | apply NNPP; zenon_intro zenon_H296].
% 19.75/19.90 cut (((e23) = (h4 (e13)))); [idtac | apply NNPP; zenon_intro zenon_H296].
% 19.75/19.90 congruence.
% 19.75/19.90 apply zenon_H296. apply sym_equal. exact zenon_H12b.
% 19.75/19.90 apply zenon_H296. apply sym_equal. exact zenon_H12b.
% 19.75/19.90 (* end of lemma zenon_L224_ *)
% 19.75/19.90 assert (zenon_L225_ : (~(((h4 (e10)) = (e20))\/(((h4 (e11)) = (e20))\/(((h4 (e12)) = (e20))\/((h4 (e13)) = (e20)))))) -> ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) -> ((e20) = (op2 (e23) (op2 (e23) (e23)))) -> False).
% 19.75/19.90 do 0 intro. intros zenon_H2b7 zenon_Hc2 zenon_H2e.
% 19.75/19.90 apply (zenon_notor_s _ _ zenon_H2b7). zenon_intro zenon_Hc1. zenon_intro zenon_H2b8.
% 19.75/19.90 apply (zenon_L49_); trivial.
% 19.75/19.90 (* end of lemma zenon_L225_ *)
% 19.75/19.90 assert (zenon_L226_ : (~(((h4 (e10)) = (e21))\/(((h4 (e11)) = (e21))\/(((h4 (e12)) = (e21))\/((h4 (e13)) = (e21)))))) -> ((h4 (e11)) = (op2 (e23) (e23))) -> ((e21) = (op2 (e23) (e23))) -> False).
% 19.75/19.90 do 0 intro. intros zenon_H2b9 zenon_Hfc zenon_H2b.
% 19.75/19.90 apply (zenon_notor_s _ _ zenon_H2b9). zenon_intro zenon_H2bb. zenon_intro zenon_H2ba.
% 19.75/19.90 apply (zenon_notor_s _ _ zenon_H2ba). zenon_intro zenon_H153. zenon_intro zenon_H2bc.
% 19.75/19.90 apply (zenon_L97_); trivial.
% 19.75/19.90 (* end of lemma zenon_L226_ *)
% 19.75/19.90 assert (zenon_L227_ : (~(((h4 (e10)) = (e22))\/(((h4 (e11)) = (e22))\/(((h4 (e12)) = (e22))\/((h4 (e13)) = (e22)))))) -> ((h4 (e12)) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> ((e22) = (op2 (op2 (e23) (op2 (e23) (e23))) (op2 (e23) (e23)))) -> False).
% 19.75/19.90 do 0 intro. intros zenon_H2bd zenon_H10f zenon_H4c.
% 19.75/19.90 apply (zenon_notor_s _ _ zenon_H2bd). zenon_intro zenon_H2bf. zenon_intro zenon_H2be.
% 19.75/19.90 apply (zenon_notor_s _ _ zenon_H2be). zenon_intro zenon_H2c1. zenon_intro zenon_H2c0.
% 19.75/19.90 apply (zenon_notor_s _ _ zenon_H2c0). zenon_intro zenon_H118. zenon_intro zenon_H2c2.
% 19.75/19.90 apply (zenon_L73_); trivial.
% 19.75/19.90 (* end of lemma zenon_L227_ *)
% 19.75/19.90 assert (zenon_L228_ : (~(((h4 (e10)) = (e23))\/(((h4 (e11)) = (e23))\/(((h4 (e12)) = (e23))\/((h4 (e13)) = (e23)))))) -> ((h4 (e13)) = (e23)) -> False).
% 19.75/19.90 do 0 intro. intros zenon_H2c3 zenon_H12b.
% 19.75/19.90 apply (zenon_notor_s _ _ zenon_H2c3). zenon_intro zenon_H2c5. zenon_intro zenon_H2c4.
% 19.75/19.90 apply (zenon_notor_s _ _ zenon_H2c4). zenon_intro zenon_H2c7. zenon_intro zenon_H2c6.
% 19.75/19.90 apply (zenon_notor_s _ _ zenon_H2c6). zenon_intro zenon_H2c8. zenon_intro zenon_H137.
% 19.75/19.90 exact (zenon_H137 zenon_H12b).
% 19.75/19.90 (* end of lemma zenon_L228_ *)
% 19.75/19.90 apply NNPP. intro zenon_G.
% 19.75/19.90 apply (zenon_and_s _ _ ax1). zenon_intro zenon_Haf. zenon_intro zenon_H2c9.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H2c9). zenon_intro zenon_H2cb. zenon_intro zenon_H2ca.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H2ca). zenon_intro zenon_H2cd. zenon_intro zenon_H2cc.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H2cc). zenon_intro zenon_H13b. zenon_intro zenon_H2ce.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H2ce). zenon_intro zenon_H2d0. zenon_intro zenon_H2cf.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_H70. zenon_intro zenon_H2d1.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H2d1). zenon_intro zenon_H2d3. zenon_intro zenon_H2d2.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H2d2). zenon_intro zenon_H2d5. zenon_intro zenon_H2d4.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H2d4). zenon_intro zenon_H2d7. zenon_intro zenon_H2d6.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H2d6). zenon_intro zenon_H2d9. zenon_intro zenon_H2d8.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H2d8). zenon_intro zenon_He8. zenon_intro zenon_H2da.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H2da). zenon_intro zenon_H24a. zenon_intro zenon_H2db.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_H282. zenon_intro zenon_H2dc.
% 19.75/19.90 apply (zenon_and_s _ _ ax2). zenon_intro zenon_H55. zenon_intro zenon_H2dd.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H2dd). zenon_intro zenon_H17e. zenon_intro zenon_H2de.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H2de). zenon_intro zenon_Hab. zenon_intro zenon_H2df.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H2df). zenon_intro zenon_H2e1. zenon_intro zenon_H2e0.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H2e0). zenon_intro zenon_H9a. zenon_intro zenon_H2e2.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H2e2). zenon_intro zenon_H2e4. zenon_intro zenon_H2e3.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H2e3). zenon_intro zenon_H2e6. zenon_intro zenon_H2e5.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H2e5). zenon_intro zenon_H2e8. zenon_intro zenon_H2e7.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H2e7). zenon_intro zenon_H2ea. zenon_intro zenon_H2e9.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H2e9). zenon_intro zenon_H2ec. zenon_intro zenon_H2eb.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H2eb). zenon_intro zenon_H1b2. zenon_intro zenon_H2ed.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H2ed). zenon_intro zenon_H208. zenon_intro zenon_H2ee.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H2ee). zenon_intro zenon_H2f0. zenon_intro zenon_H2ef.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H2ef). zenon_intro zenon_H2f2. zenon_intro zenon_H2f1.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H2f1). zenon_intro zenon_H2f4. zenon_intro zenon_H2f3.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H2f3). zenon_intro zenon_H2f6. zenon_intro zenon_H2f5.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H2f5). zenon_intro zenon_H2f8. zenon_intro zenon_H2f7.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H2f7). zenon_intro zenon_H2fa. zenon_intro zenon_H2f9.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H2f9). zenon_intro zenon_H2fc. zenon_intro zenon_H2fb.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H2fb). zenon_intro zenon_H2fe. zenon_intro zenon_H2fd.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H2fd). zenon_intro zenon_H155. zenon_intro zenon_H2ff.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H2ff). zenon_intro zenon_H301. zenon_intro zenon_H300.
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% 19.75/19.90 apply (zenon_and_s _ _ zenon_H3f4). zenon_intro zenon_H84. zenon_intro zenon_H3f6.
% 19.75/19.90 apply (zenon_and_s _ _ ax8). zenon_intro zenon_Hdf. zenon_intro zenon_H3f7.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H3f7). zenon_intro zenon_H168. zenon_intro zenon_H3f8.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H3f8). zenon_intro zenon_H3fa. zenon_intro zenon_H3f9.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H3f9). zenon_intro zenon_Hc7. zenon_intro zenon_H3fb.
% 19.75/19.90 apply (zenon_and_s _ _ ax10). zenon_intro zenon_H10b. zenon_intro zenon_H3fc.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H3fc). zenon_intro zenon_H3fe. zenon_intro zenon_H3fd.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H3fd). zenon_intro zenon_H400. zenon_intro zenon_H3ff.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H3ff). zenon_intro zenon_H402. zenon_intro zenon_H401.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H401). zenon_intro zenon_Hf9. zenon_intro zenon_H403.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H403). zenon_intro zenon_Hf8. zenon_intro zenon_H404.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H404). zenon_intro zenon_Hf5. zenon_intro zenon_H405.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H405). zenon_intro zenon_Hf7. zenon_intro zenon_H406.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H406). zenon_intro zenon_Hbe. zenon_intro zenon_H407.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H407). zenon_intro zenon_Hfa. zenon_intro zenon_H408.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H408). zenon_intro zenon_H180. zenon_intro zenon_H409.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H409). zenon_intro zenon_H1e3. zenon_intro zenon_H40a.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H40a). zenon_intro zenon_Hb4. zenon_intro zenon_H40b.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H40b). zenon_intro zenon_Hbf. zenon_intro zenon_H40c.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H40c). zenon_intro zenon_Hf6. zenon_intro zenon_H40d.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H40d). zenon_intro zenon_Hbc. zenon_intro zenon_H40e.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H40e). zenon_intro zenon_H410. zenon_intro zenon_H40f.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H40f). zenon_intro zenon_H412. zenon_intro zenon_H411.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H411). zenon_intro zenon_H414. zenon_intro zenon_H413.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H413). zenon_intro zenon_H416. zenon_intro zenon_H415.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H415). zenon_intro zenon_Hc0. zenon_intro zenon_H417.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H417). zenon_intro zenon_Hbd. zenon_intro zenon_H418.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H418). zenon_intro zenon_H41a. zenon_intro zenon_H419.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H419). zenon_intro zenon_H41c. zenon_intro zenon_H41b.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H41b). zenon_intro zenon_H41e. zenon_intro zenon_H41d.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H41d). zenon_intro zenon_H420. zenon_intro zenon_H41f.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H41f). zenon_intro zenon_H422. zenon_intro zenon_H421.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H421). zenon_intro zenon_H424. zenon_intro zenon_H423.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H423). zenon_intro zenon_H426. zenon_intro zenon_H425.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H425). zenon_intro zenon_H1b6. zenon_intro zenon_H427.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H427). zenon_intro zenon_H429. zenon_intro zenon_H428.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H428). zenon_intro zenon_H42b. zenon_intro zenon_H42a.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H42a). zenon_intro zenon_H42d. zenon_intro zenon_H42c.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H42c). zenon_intro zenon_H1a2. zenon_intro zenon_H42e.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H42e). zenon_intro zenon_H234. zenon_intro zenon_H42f.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H42f). zenon_intro zenon_H2a3. zenon_intro zenon_H430.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H430). zenon_intro zenon_H17b. zenon_intro zenon_H431.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H431). zenon_intro zenon_H433. zenon_intro zenon_H432.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H432). zenon_intro zenon_H435. zenon_intro zenon_H434.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H434). zenon_intro zenon_H437. zenon_intro zenon_H436.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H436). zenon_intro zenon_Hf4. zenon_intro zenon_H438.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H438). zenon_intro zenon_H43a. zenon_intro zenon_H439.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H439). zenon_intro zenon_H43c. zenon_intro zenon_H43b.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H43b). zenon_intro zenon_H43e. zenon_intro zenon_H43d.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H43d). zenon_intro zenon_H440. zenon_intro zenon_H43f.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H43f). zenon_intro zenon_H17f. zenon_intro zenon_H441.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H441). zenon_intro zenon_H443. zenon_intro zenon_H442.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H442). zenon_intro zenon_H445. zenon_intro zenon_H444.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H444). zenon_intro zenon_H447. zenon_intro zenon_H446.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H446). zenon_intro zenon_Hbb. zenon_intro zenon_H448.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H448). zenon_intro zenon_Hf3. zenon_intro zenon_H449.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H449). zenon_intro zenon_H44b. zenon_intro zenon_H44a.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H44a). zenon_intro zenon_Hb7. zenon_intro zenon_H44c.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H44c). zenon_intro zenon_H44e. zenon_intro zenon_H44d.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H44d). zenon_intro zenon_H450. zenon_intro zenon_H44f.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H44f). zenon_intro zenon_Hb5. zenon_intro zenon_H451.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H451). zenon_intro zenon_Hb6. zenon_intro zenon_H452.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H452). zenon_intro zenon_H80. zenon_intro zenon_H453.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H453). zenon_intro zenon_H455. zenon_intro zenon_H454.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H454). zenon_intro zenon_H457. zenon_intro zenon_H456.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H456). zenon_intro zenon_H459. zenon_intro zenon_H458.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H458). zenon_intro zenon_H14e. zenon_intro zenon_H45a.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H45a). zenon_intro zenon_H45b. zenon_intro zenon_H6b.
% 19.75/19.90 apply (zenon_and_s _ _ ax11). zenon_intro zenon_H45d. zenon_intro zenon_H45c.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H45c). zenon_intro zenon_H45f. zenon_intro zenon_H45e.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H45e). zenon_intro zenon_H461. zenon_intro zenon_H460.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H460). zenon_intro zenon_H463. zenon_intro zenon_H462.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H462). zenon_intro zenon_H10c. zenon_intro zenon_H464.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H464). zenon_intro zenon_H127. zenon_intro zenon_H465.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H465). zenon_intro zenon_H467. zenon_intro zenon_H466.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H466). zenon_intro zenon_H10d. zenon_intro zenon_H468.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H468). zenon_intro zenon_H10e. zenon_intro zenon_H469.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H469). zenon_intro zenon_H152. zenon_intro zenon_H46a.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H46a). zenon_intro zenon_H195. zenon_intro zenon_H46b.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H46b). zenon_intro zenon_H1e7. zenon_intro zenon_H46c.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H46c). zenon_intro zenon_H53. zenon_intro zenon_H46d.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H46d). zenon_intro zenon_H52. zenon_intro zenon_H46e.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H46e). zenon_intro zenon_H470. zenon_intro zenon_H46f.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H46f). zenon_intro zenon_H472. zenon_intro zenon_H471.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H471). zenon_intro zenon_H474. zenon_intro zenon_H473.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H473). zenon_intro zenon_H476. zenon_intro zenon_H475.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H475). zenon_intro zenon_H478. zenon_intro zenon_H477.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H477). zenon_intro zenon_H47a. zenon_intro zenon_H479.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H479). zenon_intro zenon_H54. zenon_intro zenon_H47b.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H47b). zenon_intro zenon_H4f. zenon_intro zenon_H47c.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H47c). zenon_intro zenon_H47e. zenon_intro zenon_H47d.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H47d). zenon_intro zenon_H480. zenon_intro zenon_H47f.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H47f). zenon_intro zenon_H482. zenon_intro zenon_H481.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H481). zenon_intro zenon_H484. zenon_intro zenon_H483.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H483). zenon_intro zenon_H486. zenon_intro zenon_H485.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H485). zenon_intro zenon_H488. zenon_intro zenon_H487.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H487). zenon_intro zenon_H1cc. zenon_intro zenon_H489.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H489). zenon_intro zenon_H1cb. zenon_intro zenon_H48a.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H48a). zenon_intro zenon_H48c. zenon_intro zenon_H48b.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H48b). zenon_intro zenon_H48e. zenon_intro zenon_H48d.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H48d). zenon_intro zenon_H490. zenon_intro zenon_H48f.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H48f). zenon_intro zenon_H1a3. zenon_intro zenon_H491.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H491). zenon_intro zenon_H235. zenon_intro zenon_H492.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H492). zenon_intro zenon_H494. zenon_intro zenon_H493.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H493). zenon_intro zenon_H196. zenon_intro zenon_H495.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H495). zenon_intro zenon_H497. zenon_intro zenon_H496.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H496). zenon_intro zenon_H499. zenon_intro zenon_H498.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H498). zenon_intro zenon_H193. zenon_intro zenon_H49a.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H49a). zenon_intro zenon_H49c. zenon_intro zenon_H49b.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H49b). zenon_intro zenon_H49e. zenon_intro zenon_H49d.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H49d). zenon_intro zenon_H4a0. zenon_intro zenon_H49f.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H49f). zenon_intro zenon_H4a2. zenon_intro zenon_H4a1.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H4a1). zenon_intro zenon_H194. zenon_intro zenon_H4a3.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H4a3). zenon_intro zenon_H192. zenon_intro zenon_H4a4.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H4a4). zenon_intro zenon_H4a6. zenon_intro zenon_H4a5.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H4a5). zenon_intro zenon_H4a8. zenon_intro zenon_H4a7.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H4a7). zenon_intro zenon_H4aa. zenon_intro zenon_H4a9.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H4a9). zenon_intro zenon_H50. zenon_intro zenon_H4ab.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H4ab). zenon_intro zenon_H4ad. zenon_intro zenon_H4ac.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H4ac). zenon_intro zenon_H4af. zenon_intro zenon_H4ae.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H4ae). zenon_intro zenon_H51. zenon_intro zenon_H4b0.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H4b0). zenon_intro zenon_H4b2. zenon_intro zenon_H4b1.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H4b1). zenon_intro zenon_H4b4. zenon_intro zenon_H4b3.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H4b3). zenon_intro zenon_H47. zenon_intro zenon_H4b5.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H4b5). zenon_intro zenon_H48. zenon_intro zenon_H4b6.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H4b6). zenon_intro zenon_H3d. zenon_intro zenon_H4b7.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H4b7). zenon_intro zenon_H4b9. zenon_intro zenon_H4b8.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H4b8). zenon_intro zenon_H4bb. zenon_intro zenon_H4ba.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H4ba). zenon_intro zenon_H4bd. zenon_intro zenon_H4bc.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H4bc). zenon_intro zenon_H151. zenon_intro zenon_H4be.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H4be). zenon_intro zenon_H4bf. zenon_intro zenon_H28.
% 19.75/19.90 apply (zenon_and_s _ _ ax12). zenon_intro zenon_H71. zenon_intro zenon_H4c0.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H4c0). zenon_intro zenon_H6e. zenon_intro zenon_H8b.
% 19.75/19.90 apply (zenon_and_s _ _ ax13). zenon_intro zenon_H2e. zenon_intro zenon_H4c1.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H4c1). zenon_intro zenon_H2b. zenon_intro zenon_H4c.
% 19.75/19.90 apply (zenon_and_s _ _ ax17). zenon_intro zenon_H12b. zenon_intro zenon_H4c2.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H4c2). zenon_intro zenon_Hc2. zenon_intro zenon_H4c3.
% 19.75/19.90 apply (zenon_and_s _ _ zenon_H4c3). zenon_intro zenon_Hfc. zenon_intro zenon_H10f.
% 19.75/19.90 apply (zenon_notor_s _ _ zenon_G). zenon_intro zenon_H4c5. zenon_intro zenon_H4c4.
% 19.75/19.90 apply (zenon_notor_s _ _ zenon_H4c4). zenon_intro zenon_H4c7. zenon_intro zenon_H4c6.
% 19.75/19.90 apply (zenon_notor_s _ _ zenon_H4c6). zenon_intro zenon_H4c9. zenon_intro zenon_H4c8.
% 19.75/19.90 apply (zenon_notand_s _ _ zenon_H4c8); [ zenon_intro zenon_Hfb | zenon_intro zenon_H4ca ].
% 19.75/19.90 apply (zenon_or_s _ _ zenon_H45d); [ zenon_intro zenon_H13 | zenon_intro zenon_H13 ].
% 19.75/19.90 apply (zenon_L70_); trivial.
% 19.75/19.90 apply (zenon_L70_); trivial.
% 19.75/19.90 apply (zenon_notand_s _ _ zenon_H4ca); [ zenon_intro zenon_H110 | zenon_intro zenon_H4cb ].
% 19.75/19.90 apply (zenon_L72_); trivial.
% 19.75/19.90 apply (zenon_notand_s _ _ zenon_H4cb); [ zenon_intro zenon_H11b | zenon_intro zenon_H4cc ].
% 19.75/19.90 apply (zenon_or_s _ _ zenon_H45d); [ zenon_intro zenon_H13 | zenon_intro zenon_H13 ].
% 19.75/19.90 apply (zenon_L77_); trivial.
% 19.75/19.90 apply (zenon_L77_); trivial.
% 19.75/19.90 apply (zenon_notand_s _ _ zenon_H4cc); [ zenon_intro zenon_H128 | zenon_intro zenon_H4cd ].
% 19.75/19.90 apply (zenon_or_s _ _ zenon_H45d); [ zenon_intro zenon_H13 | zenon_intro zenon_H13 ].
% 19.75/19.90 apply (zenon_L94_); trivial.
% 19.75/19.90 apply (zenon_L94_); trivial.
% 19.75/19.90 apply (zenon_notand_s _ _ zenon_H4cd); [ zenon_intro zenon_H17d | zenon_intro zenon_H4ce ].
% 19.75/19.90 apply (zenon_or_s _ _ zenon_H45d); [ zenon_intro zenon_H13 | zenon_intro zenon_H13 ].
% 19.75/19.90 apply (zenon_L107_); trivial.
% 19.75/19.90 apply (zenon_L107_); trivial.
% 19.75/19.90 apply (zenon_notand_s _ _ zenon_H4ce); [ zenon_intro zenon_H197 | zenon_intro zenon_H4cf ].
% 19.75/19.90 apply (zenon_or_s _ _ zenon_H45d); [ zenon_intro zenon_H13 | zenon_intro zenon_H13 ].
% 19.75/19.90 apply (zenon_L118_); trivial.
% 19.75/19.90 apply (zenon_L118_); trivial.
% 19.75/19.90 apply (zenon_notand_s _ _ zenon_H4cf); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H4d0 ].
% 19.75/19.90 apply (zenon_or_s _ _ zenon_H45d); [ zenon_intro zenon_H13 | zenon_intro zenon_H13 ].
% 19.75/19.90 apply (zenon_L129_); trivial.
% 19.75/19.90 apply (zenon_L129_); trivial.
% 19.75/19.90 apply (zenon_notand_s _ _ zenon_H4d0); [ zenon_intro zenon_H1cd | zenon_intro zenon_H4d1 ].
% 19.75/19.90 apply (zenon_or_s _ _ zenon_H45d); [ zenon_intro zenon_H13 | zenon_intro zenon_H13 ].
% 19.75/19.90 apply (zenon_L137_); trivial.
% 19.75/19.90 apply (zenon_L137_); trivial.
% 19.75/19.90 apply (zenon_notand_s _ _ zenon_H4d1); [ zenon_intro zenon_H1e8 | zenon_intro zenon_H4d2 ].
% 19.75/19.90 apply (zenon_or_s _ _ zenon_H45d); [ zenon_intro zenon_H13 | zenon_intro zenon_H13 ].
% 19.75/19.90 apply (zenon_L146_); trivial.
% 19.75/19.90 apply (zenon_L146_); trivial.
% 19.75/19.90 apply (zenon_notand_s _ _ zenon_H4d2); [ zenon_intro zenon_H209 | zenon_intro zenon_H4d3 ].
% 19.75/19.90 apply (zenon_or_s _ _ zenon_H45d); [ zenon_intro zenon_H13 | zenon_intro zenon_H13 ].
% 19.75/19.90 apply (zenon_L153_); trivial.
% 19.75/19.90 apply (zenon_L153_); trivial.
% 19.75/19.90 apply (zenon_notand_s _ _ zenon_H4d3); [ zenon_intro zenon_H21e | zenon_intro zenon_H4d4 ].
% 19.75/19.90 apply (zenon_or_s _ _ zenon_H45d); [ zenon_intro zenon_H13 | zenon_intro zenon_H13 ].
% 19.75/19.90 apply (zenon_L170_); trivial.
% 19.75/19.90 apply (zenon_L170_); trivial.
% 19.75/19.90 apply (zenon_notand_s _ _ zenon_H4d4); [ zenon_intro zenon_H236 | zenon_intro zenon_H4d5 ].
% 19.75/19.90 apply (zenon_or_s _ _ zenon_H45d); [ zenon_intro zenon_H13 | zenon_intro zenon_H13 ].
% 19.75/19.90 apply (zenon_L185_); trivial.
% 19.75/19.90 apply (zenon_L185_); trivial.
% 19.75/19.90 apply (zenon_notand_s _ _ zenon_H4d5); [ zenon_intro zenon_H27c | zenon_intro zenon_H4d6 ].
% 19.75/19.90 apply (zenon_or_s _ _ zenon_H45d); [ zenon_intro zenon_H13 | zenon_intro zenon_H13 ].
% 19.75/19.90 apply (zenon_L206_); trivial.
% 19.75/19.90 apply (zenon_L206_); trivial.
% 19.75/19.90 apply (zenon_notand_s _ _ zenon_H4d6); [ zenon_intro zenon_H28e | zenon_intro zenon_H4d7 ].
% 19.75/19.90 apply (zenon_L211_); trivial.
% 19.75/19.90 apply (zenon_notand_s _ _ zenon_H4d7); [ zenon_intro zenon_H2ab | zenon_intro zenon_H4d8 ].
% 19.75/19.90 apply (zenon_or_s _ _ zenon_H45d); [ zenon_intro zenon_H13 | zenon_intro zenon_H13 ].
% 19.75/19.90 apply (zenon_L223_); trivial.
% 19.75/19.90 apply (zenon_L223_); trivial.
% 19.75/19.90 apply (zenon_notand_s _ _ zenon_H4d8); [ zenon_intro zenon_H2b1 | zenon_intro zenon_H4d9 ].
% 19.75/19.90 apply (zenon_L224_); trivial.
% 19.75/19.90 apply (zenon_notand_s _ _ zenon_H4d9); [ zenon_intro zenon_H2b7 | zenon_intro zenon_H4da ].
% 19.75/19.90 apply (zenon_L225_); trivial.
% 19.75/19.90 apply (zenon_notand_s _ _ zenon_H4da); [ zenon_intro zenon_H2b9 | zenon_intro zenon_H4db ].
% 19.75/19.90 apply (zenon_L226_); trivial.
% 19.75/19.90 apply (zenon_notand_s _ _ zenon_H4db); [ zenon_intro zenon_H2bd | zenon_intro zenon_H2c3 ].
% 19.75/19.90 apply (zenon_L227_); trivial.
% 19.75/19.90 apply (zenon_L228_); trivial.
% 19.75/19.90 Qed.
% 19.75/19.90 % SZS output end Proof
% 19.75/19.90 (* END-PROOF *)
% 19.75/19.90 nodes searched: 1247279
% 19.75/19.90 max branch formulas: 2001
% 19.75/19.90 proof nodes created: 12720
% 19.75/19.90 formulas created: 557154
% 19.75/19.90
%------------------------------------------------------------------------------