%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : ALG152+1 : TPTP v8.1.0. Released v2.7.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n028.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 18:30:36 EDT 2022 % Result : Unsatisfiable 11.22s 11.42s % Output : Proof 11.54s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.12 % Problem : ALG152+1 : TPTP v8.1.0. Released v2.7.0. % 0.04/0.13 % Command : run_zenon %s %d % 0.13/0.34 % Computer : n028.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 600 % 0.13/0.34 % DateTime : Thu Jun 9 04:14:32 EDT 2022 % 0.13/0.34 % CPUTime : % 11.22/11.42 (* PROOF-FOUND *) % 11.22/11.42 % SZS status Unsatisfiable % 11.22/11.42 (* BEGIN-PROOF *) % 11.22/11.42 % SZS output start Proof % 11.22/11.42 Theorem zenon_thm : False. % 11.22/11.42 Proof. % 11.22/11.42 assert (zenon_L1_ : (~((e0) = (e0))) -> False). % 11.22/11.42 do 0 intro. intros zenon_H1d. % 11.22/11.42 apply zenon_H1d. apply refl_equal. % 11.22/11.42 (* end of lemma zenon_L1_ *) % 11.22/11.42 assert (zenon_L2_ : ((op (e0) (e1)) = (e0)) -> ((op (e0) (e1)) = (e1)) -> (~((e0) = (e1))) -> False). % 11.22/11.42 do 0 intro. intros zenon_H1e zenon_H1f zenon_H20. % 11.22/11.42 elim (classic ((e1) = (e1))); [ zenon_intro zenon_H21 | zenon_intro zenon_H22 ]. % 11.22/11.42 cut (((e1) = (e1)) = ((e0) = (e1))). % 11.22/11.42 intro zenon_D_pnotp. % 11.22/11.42 apply zenon_H20. % 11.22/11.42 rewrite <- zenon_D_pnotp. % 11.22/11.42 exact zenon_H21. % 11.22/11.42 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H22]. % 11.22/11.42 cut (((e1) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H23]. % 11.22/11.42 congruence. % 11.22/11.42 cut (((op (e0) (e1)) = (e0)) = ((e1) = (e0))). % 11.22/11.42 intro zenon_D_pnotp. % 11.22/11.42 apply zenon_H23. % 11.22/11.42 rewrite <- zenon_D_pnotp. % 11.22/11.42 exact zenon_H1e. % 11.22/11.42 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d]. % 11.22/11.42 cut (((op (e0) (e1)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H24]. % 11.22/11.42 congruence. % 11.22/11.42 exact (zenon_H24 zenon_H1f). % 11.22/11.42 apply zenon_H1d. apply refl_equal. % 11.22/11.42 apply zenon_H22. apply refl_equal. % 11.22/11.42 apply zenon_H22. apply refl_equal. % 11.22/11.42 (* end of lemma zenon_L2_ *) % 11.22/11.42 assert (zenon_L3_ : ((op (e0) (e0)) = (e0)) -> ((op (e0) (e0)) = (e2)) -> (~((e0) = (e2))) -> False). % 11.22/11.42 do 0 intro. intros zenon_H25 zenon_H26 zenon_H27. % 11.22/11.42 elim (classic ((e2) = (e2))); [ zenon_intro zenon_H28 | zenon_intro zenon_H29 ]. % 11.22/11.42 cut (((e2) = (e2)) = ((e0) = (e2))). % 11.22/11.42 intro zenon_D_pnotp. % 11.22/11.42 apply zenon_H27. % 11.22/11.42 rewrite <- zenon_D_pnotp. % 11.22/11.42 exact zenon_H28. % 11.22/11.42 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H29]. % 11.22/11.42 cut (((e2) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H2a]. % 11.22/11.42 congruence. % 11.22/11.42 cut (((op (e0) (e0)) = (e0)) = ((e2) = (e0))). % 11.22/11.42 intro zenon_D_pnotp. % 11.22/11.42 apply zenon_H2a. % 11.22/11.42 rewrite <- zenon_D_pnotp. % 11.22/11.42 exact zenon_H25. % 11.22/11.42 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d]. % 11.22/11.42 cut (((op (e0) (e0)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H2b]. % 11.22/11.42 congruence. % 11.22/11.42 exact (zenon_H2b zenon_H26). % 11.22/11.42 apply zenon_H1d. apply refl_equal. % 11.22/11.42 apply zenon_H29. apply refl_equal. % 11.22/11.42 apply zenon_H29. apply refl_equal. % 11.22/11.42 (* end of lemma zenon_L3_ *) % 11.22/11.42 assert (zenon_L4_ : ((op (e0) (e1)) = (e0)) -> ((op (e0) (e1)) = (e2)) -> (~((e0) = (e2))) -> False). % 11.22/11.42 do 0 intro. intros zenon_H1e zenon_H2c zenon_H27. % 11.22/11.42 elim (classic ((e2) = (e2))); [ zenon_intro zenon_H28 | zenon_intro zenon_H29 ]. % 11.22/11.42 cut (((e2) = (e2)) = ((e0) = (e2))). % 11.22/11.42 intro zenon_D_pnotp. % 11.22/11.42 apply zenon_H27. % 11.22/11.42 rewrite <- zenon_D_pnotp. % 11.22/11.42 exact zenon_H28. % 11.22/11.42 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H29]. % 11.22/11.42 cut (((e2) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H2a]. % 11.22/11.42 congruence. % 11.22/11.42 cut (((op (e0) (e1)) = (e0)) = ((e2) = (e0))). % 11.22/11.42 intro zenon_D_pnotp. % 11.22/11.42 apply zenon_H2a. % 11.22/11.42 rewrite <- zenon_D_pnotp. % 11.22/11.42 exact zenon_H1e. % 11.22/11.42 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d]. % 11.22/11.42 cut (((op (e0) (e1)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 11.22/11.42 congruence. % 11.22/11.42 exact (zenon_H2d zenon_H2c). % 11.22/11.42 apply zenon_H1d. apply refl_equal. % 11.22/11.42 apply zenon_H29. apply refl_equal. % 11.22/11.42 apply zenon_H29. apply refl_equal. % 11.22/11.42 (* end of lemma zenon_L4_ *) % 11.22/11.42 assert (zenon_L5_ : (~((e1) = (e1))) -> False). % 11.22/11.42 do 0 intro. intros zenon_H22. % 11.22/11.42 apply zenon_H22. apply refl_equal. % 11.22/11.42 (* end of lemma zenon_L5_ *) % 11.22/11.42 assert (zenon_L6_ : ((op (e0) (e2)) = (e1)) -> ((op (e0) (e2)) = (e2)) -> (~((e1) = (e2))) -> False). % 11.22/11.42 do 0 intro. intros zenon_H2e zenon_H2f zenon_H30. % 11.22/11.42 elim (classic ((e2) = (e2))); [ zenon_intro zenon_H28 | zenon_intro zenon_H29 ]. % 11.22/11.42 cut (((e2) = (e2)) = ((e1) = (e2))). % 11.22/11.42 intro zenon_D_pnotp. % 11.22/11.42 apply zenon_H30. % 11.22/11.42 rewrite <- zenon_D_pnotp. % 11.22/11.42 exact zenon_H28. % 11.22/11.42 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H29]. % 11.22/11.42 cut (((e2) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H31]. % 11.22/11.42 congruence. % 11.22/11.42 cut (((op (e0) (e2)) = (e1)) = ((e2) = (e1))). % 11.22/11.42 intro zenon_D_pnotp. % 11.22/11.42 apply zenon_H31. % 11.22/11.42 rewrite <- zenon_D_pnotp. % 11.22/11.42 exact zenon_H2e. % 11.22/11.42 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H22]. % 11.22/11.42 cut (((op (e0) (e2)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H32]. % 11.22/11.42 congruence. % 11.22/11.42 exact (zenon_H32 zenon_H2f). % 11.22/11.42 apply zenon_H22. apply refl_equal. % 11.22/11.42 apply zenon_H29. apply refl_equal. % 11.22/11.42 apply zenon_H29. apply refl_equal. % 11.22/11.42 (* end of lemma zenon_L6_ *) % 11.22/11.42 assert (zenon_L7_ : ((op (e0) (e0)) = (e0)) -> ((op (e0) (e0)) = (e3)) -> (~((e0) = (e3))) -> False). % 11.22/11.42 do 0 intro. intros zenon_H25 zenon_H33 zenon_H34. % 11.22/11.42 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H35 | zenon_intro zenon_H36 ]. % 11.22/11.42 cut (((e3) = (e3)) = ((e0) = (e3))). % 11.22/11.42 intro zenon_D_pnotp. % 11.22/11.42 apply zenon_H34. % 11.22/11.42 rewrite <- zenon_D_pnotp. % 11.22/11.42 exact zenon_H35. % 11.22/11.42 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H36]. % 11.22/11.42 cut (((e3) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H37]. % 11.22/11.42 congruence. % 11.22/11.42 cut (((op (e0) (e0)) = (e0)) = ((e3) = (e0))). % 11.22/11.42 intro zenon_D_pnotp. % 11.22/11.42 apply zenon_H37. % 11.22/11.42 rewrite <- zenon_D_pnotp. % 11.22/11.42 exact zenon_H25. % 11.22/11.42 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d]. % 11.22/11.42 cut (((op (e0) (e0)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H38]. % 11.22/11.42 congruence. % 11.22/11.42 exact (zenon_H38 zenon_H33). % 11.22/11.42 apply zenon_H1d. apply refl_equal. % 11.22/11.42 apply zenon_H36. apply refl_equal. % 11.22/11.42 apply zenon_H36. apply refl_equal. % 11.22/11.42 (* end of lemma zenon_L7_ *) % 11.22/11.42 assert (zenon_L8_ : ((op (e0) (e1)) = (e0)) -> ((op (e0) (e1)) = (e3)) -> (~((e0) = (e3))) -> False). % 11.22/11.42 do 0 intro. intros zenon_H1e zenon_H39 zenon_H34. % 11.22/11.42 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H35 | zenon_intro zenon_H36 ]. % 11.22/11.42 cut (((e3) = (e3)) = ((e0) = (e3))). % 11.22/11.42 intro zenon_D_pnotp. % 11.22/11.42 apply zenon_H34. % 11.22/11.42 rewrite <- zenon_D_pnotp. % 11.22/11.42 exact zenon_H35. % 11.22/11.42 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H36]. % 11.22/11.42 cut (((e3) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H37]. % 11.22/11.42 congruence. % 11.22/11.42 cut (((op (e0) (e1)) = (e0)) = ((e3) = (e0))). % 11.22/11.42 intro zenon_D_pnotp. % 11.22/11.42 apply zenon_H37. % 11.22/11.42 rewrite <- zenon_D_pnotp. % 11.22/11.42 exact zenon_H1e. % 11.22/11.42 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d]. % 11.22/11.42 cut (((op (e0) (e1)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H3a]. % 11.22/11.42 congruence. % 11.22/11.42 exact (zenon_H3a zenon_H39). % 11.22/11.42 apply zenon_H1d. apply refl_equal. % 11.22/11.42 apply zenon_H36. apply refl_equal. % 11.22/11.42 apply zenon_H36. apply refl_equal. % 11.22/11.42 (* end of lemma zenon_L8_ *) % 11.22/11.42 assert (zenon_L9_ : ((op (e0) (e2)) = (e1)) -> ((op (e0) (e2)) = (e3)) -> (~((e1) = (e3))) -> False). % 11.22/11.42 do 0 intro. intros zenon_H2e zenon_H3b zenon_H3c. % 11.22/11.42 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H35 | zenon_intro zenon_H36 ]. % 11.22/11.42 cut (((e3) = (e3)) = ((e1) = (e3))). % 11.22/11.42 intro zenon_D_pnotp. % 11.22/11.42 apply zenon_H3c. % 11.22/11.42 rewrite <- zenon_D_pnotp. % 11.22/11.42 exact zenon_H35. % 11.22/11.42 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H36]. % 11.22/11.42 cut (((e3) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H3d]. % 11.22/11.42 congruence. % 11.22/11.42 cut (((op (e0) (e2)) = (e1)) = ((e3) = (e1))). % 11.22/11.42 intro zenon_D_pnotp. % 11.22/11.42 apply zenon_H3d. % 11.22/11.42 rewrite <- zenon_D_pnotp. % 11.22/11.42 exact zenon_H2e. % 11.22/11.42 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H22]. % 11.22/11.42 cut (((op (e0) (e2)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H3e]. % 11.22/11.42 congruence. % 11.22/11.42 exact (zenon_H3e zenon_H3b). % 11.22/11.42 apply zenon_H22. apply refl_equal. % 11.22/11.42 apply zenon_H36. apply refl_equal. % 11.22/11.42 apply zenon_H36. apply refl_equal. % 11.22/11.42 (* end of lemma zenon_L9_ *) % 11.22/11.42 assert (zenon_L10_ : (~((e2) = (e2))) -> False). % 11.22/11.42 do 0 intro. intros zenon_H29. % 11.22/11.42 apply zenon_H29. apply refl_equal. % 11.22/11.42 (* end of lemma zenon_L10_ *) % 11.22/11.42 assert (zenon_L11_ : ((op (e0) (e3)) = (e2)) -> ((op (e0) (e3)) = (e3)) -> (~((e2) = (e3))) -> False). % 11.22/11.42 do 0 intro. intros zenon_H3f zenon_H40 zenon_H41. % 11.22/11.42 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H35 | zenon_intro zenon_H36 ]. % 11.22/11.42 cut (((e3) = (e3)) = ((e2) = (e3))). % 11.22/11.42 intro zenon_D_pnotp. % 11.22/11.42 apply zenon_H41. % 11.22/11.42 rewrite <- zenon_D_pnotp. % 11.22/11.42 exact zenon_H35. % 11.22/11.42 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H36]. % 11.22/11.42 cut (((e3) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H42]. % 11.22/11.42 congruence. % 11.22/11.42 cut (((op (e0) (e3)) = (e2)) = ((e3) = (e2))). % 11.22/11.42 intro zenon_D_pnotp. % 11.22/11.42 apply zenon_H42. % 11.22/11.42 rewrite <- zenon_D_pnotp. % 11.22/11.42 exact zenon_H3f. % 11.22/11.42 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H29]. % 11.22/11.42 cut (((op (e0) (e3)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H43]. % 11.22/11.42 congruence. % 11.22/11.42 exact (zenon_H43 zenon_H40). % 11.22/11.42 apply zenon_H29. apply refl_equal. % 11.22/11.42 apply zenon_H36. apply refl_equal. % 11.22/11.42 apply zenon_H36. apply refl_equal. % 11.22/11.42 (* end of lemma zenon_L11_ *) % 11.22/11.42 assert (zenon_L12_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e0)) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e1)) -> ((op (e0) (e3)) = (e2)) -> (~((e2) = (e3))) -> False). % 11.22/11.42 do 0 intro. intros zenon_H44 zenon_H25 zenon_H34 zenon_H1e zenon_H3c zenon_H2e zenon_H3f zenon_H41. % 11.22/11.42 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.22/11.42 apply (zenon_L7_); trivial. % 11.22/11.42 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.22/11.42 apply (zenon_L8_); trivial. % 11.22/11.42 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.22/11.42 apply (zenon_L9_); trivial. % 11.22/11.42 apply (zenon_L11_); trivial. % 11.22/11.42 (* end of lemma zenon_L12_ *) % 11.22/11.42 assert (zenon_L13_ : ((op (e0) (e2)) = (e2)) -> ((op (e0) (e2)) = (e3)) -> (~((e2) = (e3))) -> False). % 11.22/11.42 do 0 intro. intros zenon_H2f zenon_H3b zenon_H41. % 11.22/11.42 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H35 | zenon_intro zenon_H36 ]. % 11.22/11.42 cut (((e3) = (e3)) = ((e2) = (e3))). % 11.22/11.42 intro zenon_D_pnotp. % 11.22/11.42 apply zenon_H41. % 11.22/11.42 rewrite <- zenon_D_pnotp. % 11.22/11.42 exact zenon_H35. % 11.22/11.42 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H36]. % 11.22/11.42 cut (((e3) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H42]. % 11.22/11.42 congruence. % 11.22/11.42 cut (((op (e0) (e2)) = (e2)) = ((e3) = (e2))). % 11.22/11.42 intro zenon_D_pnotp. % 11.22/11.42 apply zenon_H42. % 11.22/11.42 rewrite <- zenon_D_pnotp. % 11.22/11.42 exact zenon_H2f. % 11.22/11.42 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H29]. % 11.22/11.42 cut (((op (e0) (e2)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H3e]. % 11.22/11.42 congruence. % 11.22/11.42 exact (zenon_H3e zenon_H3b). % 11.22/11.42 apply zenon_H29. apply refl_equal. % 11.22/11.42 apply zenon_H36. apply refl_equal. % 11.22/11.42 apply zenon_H36. apply refl_equal. % 11.22/11.42 (* end of lemma zenon_L13_ *) % 11.22/11.42 assert (zenon_L14_ : ((op (e0) (e3)) = (e1)) -> ((op (e0) (e3)) = (e3)) -> (~((e1) = (e3))) -> False). % 11.22/11.42 do 0 intro. intros zenon_H47 zenon_H40 zenon_H3c. % 11.22/11.42 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H35 | zenon_intro zenon_H36 ]. % 11.22/11.42 cut (((e3) = (e3)) = ((e1) = (e3))). % 11.22/11.42 intro zenon_D_pnotp. % 11.22/11.42 apply zenon_H3c. % 11.22/11.42 rewrite <- zenon_D_pnotp. % 11.22/11.42 exact zenon_H35. % 11.22/11.42 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H36]. % 11.22/11.42 cut (((e3) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H3d]. % 11.22/11.42 congruence. % 11.22/11.42 cut (((op (e0) (e3)) = (e1)) = ((e3) = (e1))). % 11.22/11.42 intro zenon_D_pnotp. % 11.22/11.42 apply zenon_H3d. % 11.22/11.42 rewrite <- zenon_D_pnotp. % 11.22/11.42 exact zenon_H47. % 11.22/11.42 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H22]. % 11.22/11.42 cut (((op (e0) (e3)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H43]. % 11.22/11.42 congruence. % 11.22/11.42 exact (zenon_H43 zenon_H40). % 11.22/11.42 apply zenon_H22. apply refl_equal. % 11.22/11.42 apply zenon_H36. apply refl_equal. % 11.22/11.42 apply zenon_H36. apply refl_equal. % 11.22/11.42 (* end of lemma zenon_L14_ *) % 11.22/11.42 assert (zenon_L15_ : ((op (e0) (e3)) = (e1)) -> ((op (e0) (e3)) = (e2)) -> (~((e1) = (e2))) -> False). % 11.22/11.42 do 0 intro. intros zenon_H47 zenon_H3f zenon_H30. % 11.22/11.42 elim (classic ((e2) = (e2))); [ zenon_intro zenon_H28 | zenon_intro zenon_H29 ]. % 11.22/11.42 cut (((e2) = (e2)) = ((e1) = (e2))). % 11.22/11.42 intro zenon_D_pnotp. % 11.22/11.42 apply zenon_H30. % 11.22/11.42 rewrite <- zenon_D_pnotp. % 11.22/11.42 exact zenon_H28. % 11.22/11.42 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H29]. % 11.22/11.42 cut (((e2) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H31]. % 11.22/11.42 congruence. % 11.22/11.42 cut (((op (e0) (e3)) = (e1)) = ((e2) = (e1))). % 11.22/11.42 intro zenon_D_pnotp. % 11.22/11.42 apply zenon_H31. % 11.22/11.42 rewrite <- zenon_D_pnotp. % 11.22/11.42 exact zenon_H47. % 11.22/11.42 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H22]. % 11.22/11.42 cut (((op (e0) (e3)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H48]. % 11.22/11.42 congruence. % 11.22/11.42 exact (zenon_H48 zenon_H3f). % 11.22/11.42 apply zenon_H22. apply refl_equal. % 11.22/11.42 apply zenon_H29. apply refl_equal. % 11.22/11.42 apply zenon_H29. apply refl_equal. % 11.22/11.42 (* end of lemma zenon_L15_ *) % 11.22/11.42 assert (zenon_L16_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e3))) -> ((op (e0) (e0)) = (e0)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e2))) -> False). % 11.22/11.42 do 0 intro. intros zenon_H49 zenon_H27 zenon_H3c zenon_H41 zenon_H1e zenon_H34 zenon_H25 zenon_H44 zenon_H47 zenon_H30. % 11.22/11.42 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.22/11.42 apply (zenon_L3_); trivial. % 11.22/11.42 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.22/11.42 apply (zenon_L4_); trivial. % 11.22/11.42 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.22/11.42 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.22/11.42 apply (zenon_L7_); trivial. % 11.22/11.42 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.22/11.42 apply (zenon_L8_); trivial. % 11.22/11.42 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.22/11.42 apply (zenon_L13_); trivial. % 11.22/11.42 apply (zenon_L14_); trivial. % 11.22/11.42 apply (zenon_L15_); trivial. % 11.22/11.42 (* end of lemma zenon_L16_ *) % 11.22/11.42 assert (zenon_L17_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e3))) -> ((op (e0) (e0)) = (e0)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e2))) -> False). % 11.22/11.42 do 0 intro. intros zenon_H4c zenon_H4d zenon_H20 zenon_H49 zenon_H27 zenon_H3c zenon_H41 zenon_H1e zenon_H34 zenon_H25 zenon_H44 zenon_H30. % 11.22/11.42 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.22/11.42 exact (zenon_H4d zenon_H4f). % 11.22/11.42 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.22/11.42 apply (zenon_L2_); trivial. % 11.22/11.42 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.22/11.42 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.22/11.42 apply (zenon_L3_); trivial. % 11.22/11.42 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.22/11.42 apply (zenon_L4_); trivial. % 11.22/11.42 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.22/11.42 apply (zenon_L6_); trivial. % 11.22/11.42 apply (zenon_L12_); trivial. % 11.22/11.42 apply (zenon_L16_); trivial. % 11.22/11.42 (* end of lemma zenon_L17_ *) % 11.22/11.42 assert (zenon_L18_ : (((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e2))) -> False). % 11.22/11.42 do 0 intro. intros zenon_H51 zenon_H4c zenon_H4d zenon_H20 zenon_H49 zenon_H27 zenon_H3c zenon_H41 zenon_H1e zenon_H34 zenon_H44 zenon_H30. % 11.22/11.42 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H25. zenon_intro zenon_H52. % 11.22/11.42 apply (zenon_L17_); trivial. % 11.22/11.42 (* end of lemma zenon_L18_ *) % 11.22/11.42 assert (zenon_L19_ : (((op (e1) (e1)) = (e1))/\(((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0)))/\(((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1)))/\(((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2)))/\((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))))))) -> (~((op (e1) (e1)) = (e1))) -> False). % 11.22/11.42 do 0 intro. intros zenon_H53 zenon_H54. % 11.22/11.42 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H56. zenon_intro zenon_H55. % 11.22/11.42 exact (zenon_H54 zenon_H56). % 11.22/11.42 (* end of lemma zenon_L19_ *) % 11.22/11.42 assert (zenon_L20_ : ((op (e1) (e0)) = (e0)) -> ((op (e1) (e0)) = (e2)) -> (~((e0) = (e2))) -> False). % 11.22/11.42 do 0 intro. intros zenon_H57 zenon_H58 zenon_H27. % 11.22/11.42 elim (classic ((e2) = (e2))); [ zenon_intro zenon_H28 | zenon_intro zenon_H29 ]. % 11.22/11.42 cut (((e2) = (e2)) = ((e0) = (e2))). % 11.22/11.42 intro zenon_D_pnotp. % 11.22/11.42 apply zenon_H27. % 11.22/11.42 rewrite <- zenon_D_pnotp. % 11.22/11.42 exact zenon_H28. % 11.22/11.42 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H29]. % 11.22/11.42 cut (((e2) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H2a]. % 11.22/11.42 congruence. % 11.22/11.42 cut (((op (e1) (e0)) = (e0)) = ((e2) = (e0))). % 11.22/11.42 intro zenon_D_pnotp. % 11.22/11.42 apply zenon_H2a. % 11.22/11.42 rewrite <- zenon_D_pnotp. % 11.22/11.42 exact zenon_H57. % 11.22/11.42 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d]. % 11.22/11.42 cut (((op (e1) (e0)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H59]. % 11.22/11.42 congruence. % 11.22/11.42 exact (zenon_H59 zenon_H58). % 11.22/11.42 apply zenon_H1d. apply refl_equal. % 11.22/11.42 apply zenon_H29. apply refl_equal. % 11.22/11.42 apply zenon_H29. apply refl_equal. % 11.22/11.42 (* end of lemma zenon_L20_ *) % 11.22/11.42 assert (zenon_L21_ : ((op (e2) (e2)) = (e2)) -> ((op (e1) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> False). % 11.22/11.42 do 0 intro. intros zenon_H5a zenon_H5b zenon_H5c. % 11.22/11.42 elim (classic ((op (e2) (e2)) = (op (e2) (e2)))); [ zenon_intro zenon_H5d | zenon_intro zenon_H5e ]. % 11.22/11.42 cut (((op (e2) (e2)) = (op (e2) (e2))) = ((op (e1) (e2)) = (op (e2) (e2)))). % 11.22/11.42 intro zenon_D_pnotp. % 11.22/11.42 apply zenon_H5c. % 11.22/11.42 rewrite <- zenon_D_pnotp. % 11.22/11.42 exact zenon_H5d. % 11.22/11.42 cut (((op (e2) (e2)) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H5e]. % 11.22/11.42 cut (((op (e2) (e2)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H5f]. % 11.22/11.42 congruence. % 11.22/11.42 cut (((op (e2) (e2)) = (e2)) = ((op (e2) (e2)) = (op (e1) (e2)))). % 11.22/11.42 intro zenon_D_pnotp. % 11.22/11.42 apply zenon_H5f. % 11.22/11.42 rewrite <- zenon_D_pnotp. % 11.22/11.42 exact zenon_H5a. % 11.22/11.42 cut (((e2) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H60]. % 11.22/11.42 cut (((op (e2) (e2)) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H5e]. % 11.22/11.42 congruence. % 11.22/11.42 apply zenon_H5e. apply refl_equal. % 11.22/11.42 apply zenon_H60. apply sym_equal. exact zenon_H5b. % 11.22/11.42 apply zenon_H5e. apply refl_equal. % 11.22/11.42 apply zenon_H5e. apply refl_equal. % 11.22/11.42 (* end of lemma zenon_L21_ *) % 11.22/11.42 assert (zenon_L22_ : (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e2)) -> ((op (e1) (e3)) = (e2)) -> False). % 11.22/11.42 do 0 intro. intros zenon_H61 zenon_H3f zenon_H62. % 11.22/11.42 cut (((op (e0) (e3)) = (e2)) = ((op (e0) (e3)) = (op (e1) (e3)))). % 11.22/11.42 intro zenon_D_pnotp. % 11.22/11.42 apply zenon_H61. % 11.22/11.42 rewrite <- zenon_D_pnotp. % 11.22/11.42 exact zenon_H3f. % 11.22/11.42 cut (((e2) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H63]. % 11.22/11.42 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H64]. % 11.22/11.42 congruence. % 11.22/11.42 apply zenon_H64. apply refl_equal. % 11.22/11.42 apply zenon_H63. apply sym_equal. exact zenon_H62. % 11.22/11.42 (* end of lemma zenon_L22_ *) % 11.22/11.42 assert (zenon_L23_ : ((op (e2) (e2)) = (e2)) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> False). % 11.22/11.42 do 0 intro. intros zenon_H5a zenon_H2f zenon_H65. % 11.22/11.42 elim (classic ((op (e2) (e2)) = (op (e2) (e2)))); [ zenon_intro zenon_H5d | zenon_intro zenon_H5e ]. % 11.22/11.42 cut (((op (e2) (e2)) = (op (e2) (e2))) = ((op (e0) (e2)) = (op (e2) (e2)))). % 11.22/11.42 intro zenon_D_pnotp. % 11.22/11.42 apply zenon_H65. % 11.22/11.42 rewrite <- zenon_D_pnotp. % 11.22/11.42 exact zenon_H5d. % 11.22/11.42 cut (((op (e2) (e2)) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H5e]. % 11.22/11.42 cut (((op (e2) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H66]. % 11.22/11.42 congruence. % 11.22/11.42 cut (((op (e2) (e2)) = (e2)) = ((op (e2) (e2)) = (op (e0) (e2)))). % 11.22/11.42 intro zenon_D_pnotp. % 11.22/11.42 apply zenon_H66. % 11.22/11.42 rewrite <- zenon_D_pnotp. % 11.22/11.42 exact zenon_H5a. % 11.22/11.42 cut (((e2) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H67]. % 11.22/11.42 cut (((op (e2) (e2)) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H5e]. % 11.22/11.42 congruence. % 11.22/11.42 apply zenon_H5e. apply refl_equal. % 11.22/11.42 apply zenon_H67. apply sym_equal. exact zenon_H2f. % 11.22/11.42 apply zenon_H5e. apply refl_equal. % 11.22/11.42 apply zenon_H5e. apply refl_equal. % 11.22/11.42 (* end of lemma zenon_L23_ *) % 11.22/11.42 assert (zenon_L24_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e0) = (e2))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e2))) -> False). % 11.22/11.42 do 0 intro. intros zenon_H49 zenon_H2b zenon_H27 zenon_H1e zenon_H65 zenon_H5a zenon_H47 zenon_H30. % 11.22/11.42 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.22/11.42 exact (zenon_H2b zenon_H26). % 11.22/11.42 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.22/11.42 apply (zenon_L4_); trivial. % 11.22/11.42 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.22/11.42 apply (zenon_L23_); trivial. % 11.22/11.42 apply (zenon_L15_); trivial. % 11.22/11.42 (* end of lemma zenon_L24_ *) % 11.22/11.42 assert (zenon_L25_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (~((e0) = (e1))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (e2))) -> ((op (e1) (e0)) = (e0)) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e0) = (e2))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((e1) = (e2))) -> False). % 11.22/11.42 do 0 intro. intros zenon_H4c zenon_H4d zenon_H20 zenon_H61 zenon_H5c zenon_H68 zenon_H57 zenon_H69 zenon_H49 zenon_H2b zenon_H27 zenon_H1e zenon_H65 zenon_H5a zenon_H30. % 11.22/11.42 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.22/11.42 exact (zenon_H4d zenon_H4f). % 11.22/11.42 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.22/11.42 apply (zenon_L2_); trivial. % 11.22/11.42 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.22/11.42 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.22/11.42 exact (zenon_H2b zenon_H26). % 11.22/11.42 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.22/11.42 apply (zenon_L4_); trivial. % 11.22/11.42 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.22/11.42 apply (zenon_L6_); trivial. % 11.22/11.42 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H58 | zenon_intro zenon_H6a ]. % 11.22/11.42 apply (zenon_L20_); trivial. % 11.22/11.42 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6c | zenon_intro zenon_H6b ]. % 11.22/11.42 exact (zenon_H68 zenon_H6c). % 11.22/11.42 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H5b | zenon_intro zenon_H62 ]. % 11.22/11.42 apply (zenon_L21_); trivial. % 11.22/11.42 apply (zenon_L22_); trivial. % 11.22/11.42 apply (zenon_L24_); trivial. % 11.22/11.42 (* end of lemma zenon_L25_ *) % 11.22/11.42 assert (zenon_L26_ : ((op (e1) (e0)) = (e1)) -> ((op (e1) (e0)) = (e2)) -> (~((e1) = (e2))) -> False). % 11.22/11.42 do 0 intro. intros zenon_H6d zenon_H58 zenon_H30. % 11.22/11.42 elim (classic ((e2) = (e2))); [ zenon_intro zenon_H28 | zenon_intro zenon_H29 ]. % 11.22/11.42 cut (((e2) = (e2)) = ((e1) = (e2))). % 11.22/11.42 intro zenon_D_pnotp. % 11.22/11.42 apply zenon_H30. % 11.22/11.42 rewrite <- zenon_D_pnotp. % 11.22/11.42 exact zenon_H28. % 11.22/11.42 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H29]. % 11.22/11.42 cut (((e2) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H31]. % 11.22/11.42 congruence. % 11.22/11.42 cut (((op (e1) (e0)) = (e1)) = ((e2) = (e1))). % 11.22/11.42 intro zenon_D_pnotp. % 11.22/11.42 apply zenon_H31. % 11.22/11.42 rewrite <- zenon_D_pnotp. % 11.22/11.42 exact zenon_H6d. % 11.22/11.42 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H22]. % 11.22/11.42 cut (((op (e1) (e0)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H59]. % 11.22/11.42 congruence. % 11.22/11.42 exact (zenon_H59 zenon_H58). % 11.22/11.42 apply zenon_H22. apply refl_equal. % 11.22/11.42 apply zenon_H29. apply refl_equal. % 11.22/11.42 apply zenon_H29. apply refl_equal. % 11.22/11.42 (* end of lemma zenon_L26_ *) % 11.22/11.42 assert (zenon_L27_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e2)) -> False). % 11.22/11.42 do 0 intro. intros zenon_H69 zenon_H30 zenon_H6d zenon_H68 zenon_H5c zenon_H5a zenon_H61 zenon_H3f. % 11.22/11.42 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H58 | zenon_intro zenon_H6a ]. % 11.22/11.42 apply (zenon_L26_); trivial. % 11.22/11.42 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6c | zenon_intro zenon_H6b ]. % 11.22/11.42 exact (zenon_H68 zenon_H6c). % 11.22/11.42 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H5b | zenon_intro zenon_H62 ]. % 11.22/11.42 apply (zenon_L21_); trivial. % 11.22/11.42 apply (zenon_L22_); trivial. % 11.22/11.42 (* end of lemma zenon_L27_ *) % 11.22/11.42 assert (zenon_L28_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e0) = (e2))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False). % 11.22/11.42 do 0 intro. intros zenon_H49 zenon_H2b zenon_H27 zenon_H1e zenon_H65 zenon_H69 zenon_H30 zenon_H6d zenon_H68 zenon_H5c zenon_H5a zenon_H61. % 11.22/11.42 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.22/11.42 exact (zenon_H2b zenon_H26). % 11.22/11.42 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.22/11.42 apply (zenon_L4_); trivial. % 11.22/11.42 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.22/11.42 apply (zenon_L23_); trivial. % 11.22/11.42 apply (zenon_L27_); trivial. % 11.22/11.42 (* end of lemma zenon_L28_ *) % 11.22/11.42 assert (zenon_L29_ : ((op (e2) (e0)) = (e0)) -> ((op (e2) (e0)) = (e1)) -> (~((e0) = (e1))) -> False). % 11.22/11.42 do 0 intro. intros zenon_H6e zenon_H6f zenon_H20. % 11.22/11.42 elim (classic ((e1) = (e1))); [ zenon_intro zenon_H21 | zenon_intro zenon_H22 ]. % 11.22/11.42 cut (((e1) = (e1)) = ((e0) = (e1))). % 11.22/11.42 intro zenon_D_pnotp. % 11.22/11.42 apply zenon_H20. % 11.22/11.42 rewrite <- zenon_D_pnotp. % 11.22/11.42 exact zenon_H21. % 11.22/11.42 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H22]. % 11.22/11.42 cut (((e1) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H23]. % 11.22/11.42 congruence. % 11.22/11.42 cut (((op (e2) (e0)) = (e0)) = ((e1) = (e0))). % 11.22/11.42 intro zenon_D_pnotp. % 11.22/11.42 apply zenon_H23. % 11.22/11.42 rewrite <- zenon_D_pnotp. % 11.22/11.42 exact zenon_H6e. % 11.22/11.42 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d]. % 11.22/11.42 cut (((op (e2) (e0)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H70]. % 11.22/11.42 congruence. % 11.22/11.42 exact (zenon_H70 zenon_H6f). % 11.22/11.42 apply zenon_H1d. apply refl_equal. % 11.22/11.42 apply zenon_H22. apply refl_equal. % 11.22/11.42 apply zenon_H22. apply refl_equal. % 11.22/11.42 (* end of lemma zenon_L29_ *) % 11.22/11.42 assert (zenon_L30_ : (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((op (e0) (e1)) = (e0)) -> ((op (e0) (e3)) = (e0)) -> False). % 11.22/11.42 do 0 intro. intros zenon_H71 zenon_H1e zenon_H72. % 11.22/11.42 cut (((op (e0) (e1)) = (e0)) = ((op (e0) (e1)) = (op (e0) (e3)))). % 11.22/11.42 intro zenon_D_pnotp. % 11.22/11.42 apply zenon_H71. % 11.22/11.42 rewrite <- zenon_D_pnotp. % 11.22/11.42 exact zenon_H1e. % 11.22/11.42 cut (((e0) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H73]. % 11.22/11.42 cut (((op (e0) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H74]. % 11.22/11.42 congruence. % 11.22/11.42 apply zenon_H74. apply refl_equal. % 11.22/11.42 apply zenon_H73. apply sym_equal. exact zenon_H72. % 11.22/11.42 (* end of lemma zenon_L30_ *) % 11.22/11.42 assert (zenon_L31_ : ((op (e1) (e0)) = (e2)) -> ((op (e1) (e0)) = (e3)) -> (~((e2) = (e3))) -> False). % 11.22/11.42 do 0 intro. intros zenon_H58 zenon_H75 zenon_H41. % 11.22/11.42 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H35 | zenon_intro zenon_H36 ]. % 11.22/11.42 cut (((e3) = (e3)) = ((e2) = (e3))). % 11.22/11.42 intro zenon_D_pnotp. % 11.22/11.42 apply zenon_H41. % 11.22/11.42 rewrite <- zenon_D_pnotp. % 11.22/11.42 exact zenon_H35. % 11.22/11.42 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H36]. % 11.22/11.42 cut (((e3) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H42]. % 11.22/11.42 congruence. % 11.22/11.42 cut (((op (e1) (e0)) = (e2)) = ((e3) = (e2))). % 11.22/11.42 intro zenon_D_pnotp. % 11.22/11.42 apply zenon_H42. % 11.22/11.42 rewrite <- zenon_D_pnotp. % 11.22/11.42 exact zenon_H58. % 11.22/11.42 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H29]. % 11.22/11.42 cut (((op (e1) (e0)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H76]. % 11.22/11.42 congruence. % 11.22/11.42 exact (zenon_H76 zenon_H75). % 11.22/11.42 apply zenon_H29. apply refl_equal. % 11.22/11.42 apply zenon_H36. apply refl_equal. % 11.22/11.42 apply zenon_H36. apply refl_equal. % 11.22/11.42 (* end of lemma zenon_L31_ *) % 11.22/11.42 assert (zenon_L32_ : (~((op (e1) (op (e1) (e1))) = (op (e1) (e3)))) -> ((op (e1) (e1)) = (e3)) -> False). % 11.22/11.42 do 0 intro. intros zenon_H77 zenon_H78. % 11.22/11.42 cut (((op (e1) (e1)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H79]. % 11.22/11.42 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H22]. % 11.22/11.42 congruence. % 11.22/11.42 apply zenon_H22. apply refl_equal. % 11.22/11.42 exact (zenon_H79 zenon_H78). % 11.22/11.42 (* end of lemma zenon_L32_ *) % 11.22/11.42 assert (zenon_L33_ : ((op (e1) (e3)) = (e0)) -> ((op (e1) (e1)) = (e3)) -> (~((e0) = (op (e1) (op (e1) (e1))))) -> False). % 11.22/11.42 do 0 intro. intros zenon_H7a zenon_H78 zenon_H7b. % 11.22/11.42 elim (classic ((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [ zenon_intro zenon_H7c | zenon_intro zenon_H7d ]. % 11.22/11.42 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1)))) = ((e0) = (op (e1) (op (e1) (e1))))). % 11.22/11.42 intro zenon_D_pnotp. % 11.22/11.42 apply zenon_H7b. % 11.22/11.42 rewrite <- zenon_D_pnotp. % 11.22/11.42 exact zenon_H7c. % 11.22/11.42 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H7d]. % 11.22/11.42 cut (((op (e1) (op (e1) (e1))) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H7e]. % 11.22/11.42 congruence. % 11.22/11.42 cut (((op (e1) (e3)) = (e0)) = ((op (e1) (op (e1) (e1))) = (e0))). % 11.22/11.42 intro zenon_D_pnotp. % 11.22/11.42 apply zenon_H7e. % 11.22/11.42 rewrite <- zenon_D_pnotp. % 11.22/11.42 exact zenon_H7a. % 11.22/11.42 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d]. % 11.22/11.42 cut (((op (e1) (e3)) = (op (e1) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H7f]. % 11.22/11.42 congruence. % 11.22/11.42 elim (classic ((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [ zenon_intro zenon_H7c | zenon_intro zenon_H7d ]. % 11.22/11.42 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1)))) = ((op (e1) (e3)) = (op (e1) (op (e1) (e1))))). % 11.22/11.42 intro zenon_D_pnotp. % 11.22/11.42 apply zenon_H7f. % 11.22/11.42 rewrite <- zenon_D_pnotp. % 11.22/11.42 exact zenon_H7c. % 11.22/11.42 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H7d]. % 11.22/11.42 cut (((op (e1) (op (e1) (e1))) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H77]. % 11.22/11.42 congruence. % 11.22/11.42 apply (zenon_L32_); trivial. % 11.22/11.42 apply zenon_H7d. apply refl_equal. % 11.22/11.42 apply zenon_H7d. apply refl_equal. % 11.22/11.42 apply zenon_H1d. apply refl_equal. % 11.22/11.42 apply zenon_H7d. apply refl_equal. % 11.22/11.42 apply zenon_H7d. apply refl_equal. % 11.22/11.42 (* end of lemma zenon_L33_ *) % 11.22/11.42 assert (zenon_L34_ : ((op (e1) (e3)) = (e0)) -> ((op (e1) (e0)) = (e2)) -> ((op (e1) (e1)) = (e3)) -> False). % 11.22/11.42 do 0 intro. intros zenon_H7a zenon_H58 zenon_H78. % 11.22/11.42 apply (zenon_notand_s _ _ ax8); [ zenon_intro zenon_H7b | zenon_intro zenon_H80 ]. % 11.22/11.42 apply (zenon_L33_); trivial. % 11.22/11.42 apply (zenon_notand_s _ _ zenon_H80); [ zenon_intro zenon_H82 | zenon_intro zenon_H81 ]. % 11.22/11.42 elim (classic ((op (e1) (op (e1) (op (e1) (e1)))) = (op (e1) (op (e1) (op (e1) (e1)))))); [ zenon_intro zenon_H83 | zenon_intro zenon_H84 ]. % 11.22/11.42 cut (((op (e1) (op (e1) (op (e1) (e1)))) = (op (e1) (op (e1) (op (e1) (e1))))) = ((e2) = (op (e1) (op (e1) (op (e1) (e1)))))). % 11.22/11.42 intro zenon_D_pnotp. % 11.22/11.42 apply zenon_H82. % 11.22/11.42 rewrite <- zenon_D_pnotp. % 11.22/11.42 exact zenon_H83. % 11.22/11.42 cut (((op (e1) (op (e1) (op (e1) (e1)))) = (op (e1) (op (e1) (op (e1) (e1)))))); [idtac | apply NNPP; zenon_intro zenon_H84]. % 11.22/11.42 cut (((op (e1) (op (e1) (op (e1) (e1)))) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H85]. % 11.22/11.42 congruence. % 11.22/11.42 cut (((op (e1) (e0)) = (e2)) = ((op (e1) (op (e1) (op (e1) (e1)))) = (e2))). % 11.22/11.42 intro zenon_D_pnotp. % 11.22/11.42 apply zenon_H85. % 11.22/11.42 rewrite <- zenon_D_pnotp. % 11.22/11.42 exact zenon_H58. % 11.22/11.42 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H29]. % 11.22/11.42 cut (((op (e1) (e0)) = (op (e1) (op (e1) (op (e1) (e1)))))); [idtac | apply NNPP; zenon_intro zenon_H86]. % 11.22/11.42 congruence. % 11.22/11.42 elim (classic ((op (e1) (op (e1) (op (e1) (e1)))) = (op (e1) (op (e1) (op (e1) (e1)))))); [ zenon_intro zenon_H83 | zenon_intro zenon_H84 ]. % 11.22/11.42 cut (((op (e1) (op (e1) (op (e1) (e1)))) = (op (e1) (op (e1) (op (e1) (e1))))) = ((op (e1) (e0)) = (op (e1) (op (e1) (op (e1) (e1)))))). % 11.22/11.42 intro zenon_D_pnotp. % 11.22/11.42 apply zenon_H86. % 11.22/11.42 rewrite <- zenon_D_pnotp. % 11.22/11.42 exact zenon_H83. % 11.22/11.42 cut (((op (e1) (op (e1) (op (e1) (e1)))) = (op (e1) (op (e1) (op (e1) (e1)))))); [idtac | apply NNPP; zenon_intro zenon_H84]. % 11.22/11.42 cut (((op (e1) (op (e1) (op (e1) (e1)))) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H87]. % 11.22/11.42 congruence. % 11.22/11.42 cut (((op (e1) (op (e1) (e1))) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H7e]. % 11.22/11.42 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H22]. % 11.22/11.42 congruence. % 11.22/11.42 apply zenon_H22. apply refl_equal. % 11.22/11.42 cut (((op (e1) (e3)) = (e0)) = ((op (e1) (op (e1) (e1))) = (e0))). % 11.22/11.42 intro zenon_D_pnotp. % 11.22/11.42 apply zenon_H7e. % 11.22/11.42 rewrite <- zenon_D_pnotp. % 11.22/11.42 exact zenon_H7a. % 11.22/11.42 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d]. % 11.22/11.42 cut (((op (e1) (e3)) = (op (e1) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H7f]. % 11.22/11.42 congruence. % 11.22/11.42 elim (classic ((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [ zenon_intro zenon_H7c | zenon_intro zenon_H7d ]. % 11.22/11.42 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1)))) = ((op (e1) (e3)) = (op (e1) (op (e1) (e1))))). % 11.22/11.42 intro zenon_D_pnotp. % 11.22/11.42 apply zenon_H7f. % 11.22/11.42 rewrite <- zenon_D_pnotp. % 11.22/11.42 exact zenon_H7c. % 11.22/11.42 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H7d]. % 11.22/11.42 cut (((op (e1) (op (e1) (e1))) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H77]. % 11.22/11.42 congruence. % 11.22/11.42 apply (zenon_L32_); trivial. % 11.22/11.42 apply zenon_H7d. apply refl_equal. % 11.22/11.42 apply zenon_H7d. apply refl_equal. % 11.22/11.42 apply zenon_H1d. apply refl_equal. % 11.22/11.42 apply zenon_H84. apply refl_equal. % 11.22/11.42 apply zenon_H84. apply refl_equal. % 11.22/11.42 apply zenon_H29. apply refl_equal. % 11.22/11.42 apply zenon_H84. apply refl_equal. % 11.22/11.42 apply zenon_H84. apply refl_equal. % 11.22/11.42 apply zenon_H81. apply sym_equal. exact zenon_H78. % 11.22/11.42 (* end of lemma zenon_L34_ *) % 11.22/11.42 assert (zenon_L35_ : ((op (e1) (e2)) = (e1)) -> ((op (e1) (e2)) = (e3)) -> (~((e1) = (e3))) -> False). % 11.22/11.42 do 0 intro. intros zenon_H88 zenon_H89 zenon_H3c. % 11.22/11.42 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H35 | zenon_intro zenon_H36 ]. % 11.22/11.42 cut (((e3) = (e3)) = ((e1) = (e3))). % 11.22/11.42 intro zenon_D_pnotp. % 11.22/11.42 apply zenon_H3c. % 11.22/11.42 rewrite <- zenon_D_pnotp. % 11.22/11.42 exact zenon_H35. % 11.22/11.42 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H36]. % 11.22/11.42 cut (((e3) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H3d]. % 11.22/11.42 congruence. % 11.22/11.42 cut (((op (e1) (e2)) = (e1)) = ((e3) = (e1))). % 11.22/11.42 intro zenon_D_pnotp. % 11.22/11.42 apply zenon_H3d. % 11.22/11.42 rewrite <- zenon_D_pnotp. % 11.22/11.42 exact zenon_H88. % 11.22/11.42 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H22]. % 11.22/11.42 cut (((op (e1) (e2)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H8a]. % 11.22/11.42 congruence. % 11.22/11.42 exact (zenon_H8a zenon_H89). % 11.22/11.42 apply zenon_H22. apply refl_equal. % 11.22/11.42 apply zenon_H36. apply refl_equal. % 11.22/11.42 apply zenon_H36. apply refl_equal. % 11.22/11.42 (* end of lemma zenon_L35_ *) % 11.22/11.42 assert (zenon_L36_ : ((op (e1) (e3)) = (e0)) -> ((op (e1) (e3)) = (e3)) -> (~((e0) = (e3))) -> False). % 11.22/11.42 do 0 intro. intros zenon_H7a zenon_H8b zenon_H34. % 11.22/11.42 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H35 | zenon_intro zenon_H36 ]. % 11.22/11.42 cut (((e3) = (e3)) = ((e0) = (e3))). % 11.22/11.42 intro zenon_D_pnotp. % 11.22/11.42 apply zenon_H34. % 11.22/11.42 rewrite <- zenon_D_pnotp. % 11.22/11.42 exact zenon_H35. % 11.22/11.42 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H36]. % 11.22/11.42 cut (((e3) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H37]. % 11.22/11.42 congruence. % 11.22/11.42 cut (((op (e1) (e3)) = (e0)) = ((e3) = (e0))). % 11.22/11.42 intro zenon_D_pnotp. % 11.22/11.42 apply zenon_H37. % 11.22/11.42 rewrite <- zenon_D_pnotp. % 11.22/11.42 exact zenon_H7a. % 11.22/11.42 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d]. % 11.22/11.42 cut (((op (e1) (e3)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H8c]. % 11.22/11.42 congruence. % 11.22/11.42 exact (zenon_H8c zenon_H8b). % 11.22/11.42 apply zenon_H1d. apply refl_equal. % 11.22/11.42 apply zenon_H36. apply refl_equal. % 11.22/11.42 apply zenon_H36. apply refl_equal. % 11.22/11.42 (* end of lemma zenon_L36_ *) % 11.22/11.42 assert (zenon_L37_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e1) (e0)) = (e2)) -> (~((e1) = (e3))) -> ((op (e1) (e2)) = (e1)) -> ((op (e1) (e3)) = (e0)) -> (~((e0) = (e3))) -> False). % 11.22/11.42 do 0 intro. intros zenon_H8d zenon_H41 zenon_H58 zenon_H3c zenon_H88 zenon_H7a zenon_H34. % 11.22/11.42 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H75 | zenon_intro zenon_H8e ]. % 11.22/11.42 apply (zenon_L31_); trivial. % 11.22/11.42 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H78 | zenon_intro zenon_H8f ]. % 11.22/11.42 apply (zenon_L34_); trivial. % 11.22/11.42 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H8b ]. % 11.22/11.42 apply (zenon_L35_); trivial. % 11.22/11.42 apply (zenon_L36_); trivial. % 11.22/11.42 (* end of lemma zenon_L37_ *) % 11.22/11.42 assert (zenon_L38_ : ((op (e1) (e3)) = (e0)) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e1))) -> False). % 11.22/11.42 do 0 intro. intros zenon_H7a zenon_H90 zenon_H20. % 11.22/11.42 elim (classic ((e1) = (e1))); [ zenon_intro zenon_H21 | zenon_intro zenon_H22 ]. % 11.22/11.42 cut (((e1) = (e1)) = ((e0) = (e1))). % 11.22/11.42 intro zenon_D_pnotp. % 11.22/11.42 apply zenon_H20. % 11.22/11.42 rewrite <- zenon_D_pnotp. % 11.22/11.42 exact zenon_H21. % 11.22/11.42 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H22]. % 11.22/11.42 cut (((e1) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H23]. % 11.22/11.42 congruence. % 11.22/11.42 cut (((op (e1) (e3)) = (e0)) = ((e1) = (e0))). % 11.22/11.42 intro zenon_D_pnotp. % 11.22/11.42 apply zenon_H23. % 11.22/11.42 rewrite <- zenon_D_pnotp. % 11.22/11.42 exact zenon_H7a. % 11.22/11.42 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d]. % 11.22/11.42 cut (((op (e1) (e3)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H91]. % 11.22/11.42 congruence. % 11.22/11.42 exact (zenon_H91 zenon_H90). % 11.22/11.42 apply zenon_H1d. apply refl_equal. % 11.22/11.42 apply zenon_H22. apply refl_equal. % 11.22/11.42 apply zenon_H22. apply refl_equal. % 11.22/11.42 (* end of lemma zenon_L38_ *) % 11.22/11.42 assert (zenon_L39_ : (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (e1))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> ((op (e1) (e0)) = (e2)) -> (~((e2) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e1) (e3)) = (e0)) -> (~((e0) = (e1))) -> False). % 11.22/11.42 do 0 intro. intros zenon_H92 zenon_H30 zenon_H54 zenon_H34 zenon_H3c zenon_H58 zenon_H41 zenon_H8d zenon_H7a zenon_H20. % 11.22/11.42 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H6d | zenon_intro zenon_H93 ]. % 11.22/11.42 apply (zenon_L26_); trivial. % 11.22/11.42 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H56 | zenon_intro zenon_H94 ]. % 11.22/11.42 exact (zenon_H54 zenon_H56). % 11.22/11.42 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H88 | zenon_intro zenon_H90 ]. % 11.22/11.42 apply (zenon_L37_); trivial. % 11.22/11.42 apply (zenon_L38_); trivial. % 11.22/11.42 (* end of lemma zenon_L39_ *) % 11.22/11.42 assert (zenon_L40_ : (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e0)) = (e0)) -> ((op (e2) (e3)) = (e0)) -> False). % 11.22/11.42 do 0 intro. intros zenon_H95 zenon_H6e zenon_H96. % 11.22/11.42 cut (((op (e2) (e0)) = (e0)) = ((op (e2) (e0)) = (op (e2) (e3)))). % 11.22/11.42 intro zenon_D_pnotp. % 11.22/11.42 apply zenon_H95. % 11.22/11.42 rewrite <- zenon_D_pnotp. % 11.22/11.42 exact zenon_H6e. % 11.22/11.42 cut (((e0) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H97]. % 11.22/11.42 cut (((op (e2) (e0)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H98]. % 11.22/11.42 congruence. % 11.22/11.42 apply zenon_H98. apply refl_equal. % 11.22/11.42 apply zenon_H97. apply sym_equal. exact zenon_H96. % 11.22/11.42 (* end of lemma zenon_L40_ *) % 11.22/11.42 assert (zenon_L41_ : ((op (e3) (e0)) = (e1)) -> ((op (e3) (e0)) = (e2)) -> (~((e1) = (e2))) -> False). % 11.22/11.42 do 0 intro. intros zenon_H99 zenon_H9a zenon_H30. % 11.22/11.42 elim (classic ((e2) = (e2))); [ zenon_intro zenon_H28 | zenon_intro zenon_H29 ]. % 11.22/11.42 cut (((e2) = (e2)) = ((e1) = (e2))). % 11.22/11.42 intro zenon_D_pnotp. % 11.22/11.42 apply zenon_H30. % 11.22/11.42 rewrite <- zenon_D_pnotp. % 11.22/11.42 exact zenon_H28. % 11.22/11.42 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H29]. % 11.22/11.42 cut (((e2) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H31]. % 11.22/11.42 congruence. % 11.22/11.42 cut (((op (e3) (e0)) = (e1)) = ((e2) = (e1))). % 11.22/11.42 intro zenon_D_pnotp. % 11.22/11.42 apply zenon_H31. % 11.22/11.42 rewrite <- zenon_D_pnotp. % 11.22/11.42 exact zenon_H99. % 11.22/11.42 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H22]. % 11.22/11.42 cut (((op (e3) (e0)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H9b]. % 11.22/11.42 congruence. % 11.22/11.42 exact (zenon_H9b zenon_H9a). % 11.22/11.42 apply zenon_H22. apply refl_equal. % 11.22/11.42 apply zenon_H29. apply refl_equal. % 11.22/11.42 apply zenon_H29. apply refl_equal. % 11.22/11.42 (* end of lemma zenon_L41_ *) % 11.22/11.42 assert (zenon_L42_ : (~((e3) = (e3))) -> False). % 11.22/11.42 do 0 intro. intros zenon_H36. % 11.22/11.42 apply zenon_H36. apply refl_equal. % 11.22/11.42 (* end of lemma zenon_L42_ *) % 11.22/11.42 assert (zenon_L43_ : (~((op (e3) (op (e3) (e3))) = (op (e3) (e0)))) -> ((op (e3) (e3)) = (e0)) -> False). % 11.22/11.42 do 0 intro. intros zenon_H9c zenon_H9d. % 11.22/11.42 cut (((op (e3) (e3)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H9e]. % 11.22/11.42 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H36]. % 11.22/11.42 congruence. % 11.22/11.42 apply zenon_H36. apply refl_equal. % 11.22/11.42 exact (zenon_H9e zenon_H9d). % 11.22/11.42 (* end of lemma zenon_L43_ *) % 11.22/11.42 assert (zenon_L44_ : ((op (e3) (e0)) = (e1)) -> ((op (e3) (e3)) = (e0)) -> (~((e1) = (op (e3) (op (e3) (e3))))) -> False). % 11.22/11.42 do 0 intro. intros zenon_H99 zenon_H9d zenon_H9f. % 11.22/11.42 elim (classic ((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [ zenon_intro zenon_Ha0 | zenon_intro zenon_Ha1 ]. % 11.22/11.42 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3)))) = ((e1) = (op (e3) (op (e3) (e3))))). % 11.22/11.42 intro zenon_D_pnotp. % 11.22/11.42 apply zenon_H9f. % 11.22/11.42 rewrite <- zenon_D_pnotp. % 11.22/11.42 exact zenon_Ha0. % 11.22/11.42 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_Ha1]. % 11.22/11.42 cut (((op (e3) (op (e3) (e3))) = (e1))); [idtac | apply NNPP; zenon_intro zenon_Ha2]. % 11.22/11.42 congruence. % 11.22/11.42 cut (((op (e3) (e0)) = (e1)) = ((op (e3) (op (e3) (e3))) = (e1))). % 11.22/11.42 intro zenon_D_pnotp. % 11.22/11.42 apply zenon_Ha2. % 11.22/11.42 rewrite <- zenon_D_pnotp. % 11.22/11.42 exact zenon_H99. % 11.22/11.42 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H22]. % 11.22/11.42 cut (((op (e3) (e0)) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_Ha3]. % 11.22/11.42 congruence. % 11.22/11.42 elim (classic ((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [ zenon_intro zenon_Ha0 | zenon_intro zenon_Ha1 ]. % 11.22/11.42 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3)))) = ((op (e3) (e0)) = (op (e3) (op (e3) (e3))))). % 11.22/11.42 intro zenon_D_pnotp. % 11.22/11.42 apply zenon_Ha3. % 11.22/11.42 rewrite <- zenon_D_pnotp. % 11.22/11.42 exact zenon_Ha0. % 11.22/11.42 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_Ha1]. % 11.22/11.42 cut (((op (e3) (op (e3) (e3))) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H9c]. % 11.22/11.42 congruence. % 11.22/11.42 apply (zenon_L43_); trivial. % 11.22/11.42 apply zenon_Ha1. apply refl_equal. % 11.22/11.42 apply zenon_Ha1. apply refl_equal. % 11.22/11.42 apply zenon_H22. apply refl_equal. % 11.22/11.42 apply zenon_Ha1. apply refl_equal. % 11.22/11.42 apply zenon_Ha1. apply refl_equal. % 11.22/11.42 (* end of lemma zenon_L44_ *) % 11.22/11.42 assert (zenon_L45_ : ((op (e3) (e0)) = (e1)) -> ((op (e3) (e1)) = (e2)) -> ((op (e3) (e3)) = (e0)) -> False). % 11.22/11.42 do 0 intro. intros zenon_H99 zenon_Ha4 zenon_H9d. % 11.22/11.42 apply (zenon_notand_s _ _ ax15); [ zenon_intro zenon_H9f | zenon_intro zenon_Ha5 ]. % 11.22/11.42 apply (zenon_L44_); trivial. % 11.22/11.42 apply (zenon_notand_s _ _ zenon_Ha5); [ zenon_intro zenon_Ha7 | zenon_intro zenon_Ha6 ]. % 11.22/11.42 elim (classic ((op (e3) (op (e3) (op (e3) (e3)))) = (op (e3) (op (e3) (op (e3) (e3)))))); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Ha9 ]. % 11.22/11.42 cut (((op (e3) (op (e3) (op (e3) (e3)))) = (op (e3) (op (e3) (op (e3) (e3))))) = ((e2) = (op (e3) (op (e3) (op (e3) (e3)))))). % 11.22/11.42 intro zenon_D_pnotp. % 11.22/11.42 apply zenon_Ha7. % 11.22/11.42 rewrite <- zenon_D_pnotp. % 11.22/11.42 exact zenon_Ha8. % 11.22/11.42 cut (((op (e3) (op (e3) (op (e3) (e3)))) = (op (e3) (op (e3) (op (e3) (e3)))))); [idtac | apply NNPP; zenon_intro zenon_Ha9]. % 11.22/11.42 cut (((op (e3) (op (e3) (op (e3) (e3)))) = (e2))); [idtac | apply NNPP; zenon_intro zenon_Haa]. % 11.22/11.42 congruence. % 11.22/11.42 cut (((op (e3) (e1)) = (e2)) = ((op (e3) (op (e3) (op (e3) (e3)))) = (e2))). % 11.22/11.42 intro zenon_D_pnotp. % 11.22/11.42 apply zenon_Haa. % 11.22/11.42 rewrite <- zenon_D_pnotp. % 11.22/11.42 exact zenon_Ha4. % 11.22/11.42 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H29]. % 11.22/11.42 cut (((op (e3) (e1)) = (op (e3) (op (e3) (op (e3) (e3)))))); [idtac | apply NNPP; zenon_intro zenon_Hab]. % 11.22/11.42 congruence. % 11.22/11.42 elim (classic ((op (e3) (op (e3) (op (e3) (e3)))) = (op (e3) (op (e3) (op (e3) (e3)))))); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Ha9 ]. % 11.22/11.42 cut (((op (e3) (op (e3) (op (e3) (e3)))) = (op (e3) (op (e3) (op (e3) (e3))))) = ((op (e3) (e1)) = (op (e3) (op (e3) (op (e3) (e3)))))). % 11.22/11.42 intro zenon_D_pnotp. % 11.22/11.42 apply zenon_Hab. % 11.22/11.42 rewrite <- zenon_D_pnotp. % 11.22/11.42 exact zenon_Ha8. % 11.22/11.42 cut (((op (e3) (op (e3) (op (e3) (e3)))) = (op (e3) (op (e3) (op (e3) (e3)))))); [idtac | apply NNPP; zenon_intro zenon_Ha9]. % 11.22/11.42 cut (((op (e3) (op (e3) (op (e3) (e3)))) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Hac]. % 11.22/11.42 congruence. % 11.22/11.42 cut (((op (e3) (op (e3) (e3))) = (e1))); [idtac | apply NNPP; zenon_intro zenon_Ha2]. % 11.22/11.42 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H36]. % 11.22/11.42 congruence. % 11.22/11.42 apply zenon_H36. apply refl_equal. % 11.22/11.42 cut (((op (e3) (e0)) = (e1)) = ((op (e3) (op (e3) (e3))) = (e1))). % 11.22/11.42 intro zenon_D_pnotp. % 11.22/11.42 apply zenon_Ha2. % 11.22/11.42 rewrite <- zenon_D_pnotp. % 11.22/11.42 exact zenon_H99. % 11.22/11.42 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H22]. % 11.22/11.42 cut (((op (e3) (e0)) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_Ha3]. % 11.22/11.42 congruence. % 11.22/11.42 elim (classic ((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [ zenon_intro zenon_Ha0 | zenon_intro zenon_Ha1 ]. % 11.22/11.42 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3)))) = ((op (e3) (e0)) = (op (e3) (op (e3) (e3))))). % 11.22/11.42 intro zenon_D_pnotp. % 11.22/11.42 apply zenon_Ha3. % 11.22/11.42 rewrite <- zenon_D_pnotp. % 11.22/11.42 exact zenon_Ha0. % 11.22/11.42 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_Ha1]. % 11.22/11.42 cut (((op (e3) (op (e3) (e3))) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H9c]. % 11.22/11.42 congruence. % 11.22/11.42 apply (zenon_L43_); trivial. % 11.22/11.42 apply zenon_Ha1. apply refl_equal. % 11.22/11.42 apply zenon_Ha1. apply refl_equal. % 11.22/11.42 apply zenon_H22. apply refl_equal. % 11.22/11.42 apply zenon_Ha9. apply refl_equal. % 11.22/11.42 apply zenon_Ha9. apply refl_equal. % 11.22/11.42 apply zenon_H29. apply refl_equal. % 11.22/11.42 apply zenon_Ha9. apply refl_equal. % 11.22/11.42 apply zenon_Ha9. apply refl_equal. % 11.22/11.42 apply zenon_Ha6. apply sym_equal. exact zenon_H9d. % 11.22/11.42 (* end of lemma zenon_L45_ *) % 11.22/11.42 assert (zenon_L46_ : (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e2)) -> ((op (e3) (e2)) = (e2)) -> False). % 11.22/11.42 do 0 intro. intros zenon_Had zenon_H5a zenon_Hae. % 11.22/11.42 cut (((op (e2) (e2)) = (e2)) = ((op (e2) (e2)) = (op (e3) (e2)))). % 11.22/11.42 intro zenon_D_pnotp. % 11.22/11.42 apply zenon_Had. % 11.22/11.42 rewrite <- zenon_D_pnotp. % 11.22/11.42 exact zenon_H5a. % 11.22/11.42 cut (((e2) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Haf]. % 11.22/11.42 cut (((op (e2) (e2)) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H5e]. % 11.22/11.42 congruence. % 11.22/11.42 apply zenon_H5e. apply refl_equal. % 11.22/11.42 apply zenon_Haf. apply sym_equal. exact zenon_Hae. % 11.22/11.42 (* end of lemma zenon_L46_ *) % 11.22/11.42 assert (zenon_L47_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e3) (e3)) = (e0)) -> ((op (e3) (e0)) = (e1)) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e2))) -> False). % 11.22/11.42 do 0 intro. intros zenon_Hb0 zenon_H30 zenon_H9d zenon_H99 zenon_H5a zenon_Had zenon_Hb1. % 11.22/11.42 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H9a | zenon_intro zenon_Hb2 ]. % 11.22/11.42 apply (zenon_L41_); trivial. % 11.22/11.42 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Hb3 ]. % 11.22/11.42 apply (zenon_L45_); trivial. % 11.22/11.42 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_Hae | zenon_intro zenon_Hb4 ]. % 11.22/11.42 apply (zenon_L46_); trivial. % 11.22/11.42 exact (zenon_Hb1 zenon_Hb4). % 11.22/11.42 (* end of lemma zenon_L47_ *) % 11.22/11.42 assert (zenon_L48_ : (~((e0) = (e2))) -> ((op (e2) (e0)) = (e2)) -> ((op (e2) (e0)) = (e0)) -> False). % 11.22/11.42 do 0 intro. intros zenon_H27 zenon_Hb5 zenon_H6e. % 11.22/11.42 cut (((op (e2) (e0)) = (e2)) = ((e0) = (e2))). % 11.22/11.42 intro zenon_D_pnotp. % 11.22/11.42 apply zenon_H27. % 11.22/11.42 rewrite <- zenon_D_pnotp. % 11.22/11.42 exact zenon_Hb5. % 11.22/11.42 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H29]. % 11.22/11.42 cut (((op (e2) (e0)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_Hb6]. % 11.22/11.42 congruence. % 11.22/11.42 exact (zenon_Hb6 zenon_H6e). % 11.22/11.42 apply zenon_H29. apply refl_equal. % 11.22/11.42 (* end of lemma zenon_L48_ *) % 11.22/11.42 assert (zenon_L49_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (e2))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (e1))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e0) = (e1))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((op (e0) (e1)) = (e0)) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e2) (e0)) = (e0)) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> False). % 11.22/11.42 do 0 intro. intros zenon_Hb7 zenon_H4d zenon_H61 zenon_H5c zenon_H68 zenon_H69 zenon_H65 zenon_H49 zenon_Hb8 zenon_H2b zenon_Hb1 zenon_Had zenon_H5a zenon_Hb0 zenon_H95 zenon_H92 zenon_H54 zenon_H34 zenon_H3c zenon_H41 zenon_H8d zenon_H20 zenon_H71 zenon_H1e zenon_Hb9 zenon_H6e zenon_H27 zenon_H30. % 11.22/11.42 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ]. % 11.22/11.42 exact (zenon_H4d zenon_H4f). % 11.22/11.42 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ]. % 11.22/11.42 apply (zenon_L28_); trivial. % 11.22/11.42 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ]. % 11.22/11.42 apply (zenon_L29_); trivial. % 11.22/11.42 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ]. % 11.22/11.42 exact (zenon_H2b zenon_H26). % 11.22/11.42 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ]. % 11.22/11.42 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H72 | zenon_intro zenon_Hbe ]. % 11.22/11.42 apply (zenon_L30_); trivial. % 11.22/11.42 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H7a | zenon_intro zenon_Hbf ]. % 11.22/11.42 apply (zenon_L39_); trivial. % 11.22/11.42 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H96 | zenon_intro zenon_H9d ]. % 11.22/11.42 apply (zenon_L40_); trivial. % 11.22/11.42 apply (zenon_L47_); trivial. % 11.22/11.42 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ]. % 11.22/11.42 apply (zenon_L48_); trivial. % 11.22/11.42 apply (zenon_L41_); trivial. % 11.22/11.42 (* end of lemma zenon_L49_ *) % 11.22/11.42 assert (zenon_L50_ : ((op (e2) (e2)) = (e2)) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> False). % 11.22/11.42 do 0 intro. intros zenon_H5a zenon_Hb5 zenon_Hc0. % 11.22/11.42 elim (classic ((op (e2) (e2)) = (op (e2) (e2)))); [ zenon_intro zenon_H5d | zenon_intro zenon_H5e ]. % 11.22/11.42 cut (((op (e2) (e2)) = (op (e2) (e2))) = ((op (e2) (e0)) = (op (e2) (e2)))). % 11.22/11.42 intro zenon_D_pnotp. % 11.22/11.42 apply zenon_Hc0. % 11.22/11.42 rewrite <- zenon_D_pnotp. % 11.22/11.42 exact zenon_H5d. % 11.22/11.42 cut (((op (e2) (e2)) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H5e]. % 11.22/11.42 cut (((op (e2) (e2)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hc1]. % 11.22/11.42 congruence. % 11.22/11.42 cut (((op (e2) (e2)) = (e2)) = ((op (e2) (e2)) = (op (e2) (e0)))). % 11.22/11.42 intro zenon_D_pnotp. % 11.22/11.42 apply zenon_Hc1. % 11.22/11.42 rewrite <- zenon_D_pnotp. % 11.22/11.42 exact zenon_H5a. % 11.22/11.42 cut (((e2) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hc2]. % 11.22/11.42 cut (((op (e2) (e2)) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H5e]. % 11.22/11.42 congruence. % 11.22/11.42 apply zenon_H5e. apply refl_equal. % 11.22/11.42 apply zenon_Hc2. apply sym_equal. exact zenon_Hb5. % 11.22/11.42 apply zenon_H5e. apply refl_equal. % 11.22/11.42 apply zenon_H5e. apply refl_equal. % 11.22/11.42 (* end of lemma zenon_L50_ *) % 11.22/11.42 assert (zenon_L51_ : ((op (e3) (e0)) = (e0)) -> ((op (e3) (e0)) = (e2)) -> (~((e0) = (e2))) -> False). % 11.22/11.42 do 0 intro. intros zenon_Hc3 zenon_H9a zenon_H27. % 11.22/11.42 elim (classic ((e2) = (e2))); [ zenon_intro zenon_H28 | zenon_intro zenon_H29 ]. % 11.22/11.42 cut (((e2) = (e2)) = ((e0) = (e2))). % 11.22/11.42 intro zenon_D_pnotp. % 11.22/11.42 apply zenon_H27. % 11.22/11.42 rewrite <- zenon_D_pnotp. % 11.22/11.42 exact zenon_H28. % 11.22/11.42 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H29]. % 11.22/11.42 cut (((e2) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H2a]. % 11.22/11.42 congruence. % 11.22/11.42 cut (((op (e3) (e0)) = (e0)) = ((e2) = (e0))). % 11.22/11.42 intro zenon_D_pnotp. % 11.22/11.42 apply zenon_H2a. % 11.22/11.42 rewrite <- zenon_D_pnotp. % 11.22/11.42 exact zenon_Hc3. % 11.22/11.42 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d]. % 11.22/11.42 cut (((op (e3) (e0)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H9b]. % 11.22/11.42 congruence. % 11.22/11.42 exact (zenon_H9b zenon_H9a). % 11.22/11.42 apply zenon_H1d. apply refl_equal. % 11.22/11.42 apply zenon_H29. apply refl_equal. % 11.22/11.42 apply zenon_H29. apply refl_equal. % 11.22/11.42 (* end of lemma zenon_L51_ *) % 11.22/11.42 assert (zenon_L52_ : (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e1) = (e2))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e2))) -> False). % 11.22/11.42 do 0 intro. intros zenon_Hb8 zenon_H2b zenon_H30 zenon_H6d zenon_Hc0 zenon_H5a zenon_Hc3 zenon_H27. % 11.22/11.42 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ]. % 11.22/11.42 exact (zenon_H2b zenon_H26). % 11.22/11.42 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ]. % 11.22/11.42 apply (zenon_L26_); trivial. % 11.22/11.42 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ]. % 11.22/11.42 apply (zenon_L50_); trivial. % 11.22/11.42 apply (zenon_L51_); trivial. % 11.22/11.42 (* end of lemma zenon_L52_ *) % 11.22/11.42 assert (zenon_L53_ : (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e1)) -> ((op (e2) (e1)) = (e1)) -> False). % 11.22/11.42 do 0 intro. intros zenon_Hc4 zenon_H6f zenon_Hc5. % 11.22/11.42 cut (((op (e2) (e0)) = (e1)) = ((op (e2) (e0)) = (op (e2) (e1)))). % 11.22/11.42 intro zenon_D_pnotp. % 11.22/11.42 apply zenon_Hc4. % 11.22/11.42 rewrite <- zenon_D_pnotp. % 11.22/11.42 exact zenon_H6f. % 11.22/11.42 cut (((e1) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Hc6]. % 11.22/11.42 cut (((op (e2) (e0)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H98]. % 11.22/11.42 congruence. % 11.22/11.42 apply zenon_H98. apply refl_equal. % 11.22/11.42 apply zenon_Hc6. apply sym_equal. exact zenon_Hc5. % 11.22/11.42 (* end of lemma zenon_L53_ *) % 11.22/11.42 assert (zenon_L54_ : ((op (e2) (e2)) = (e2)) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> False). % 11.22/11.42 do 0 intro. intros zenon_H5a zenon_Hc7 zenon_Hc8. % 11.22/11.42 elim (classic ((op (e2) (e2)) = (op (e2) (e2)))); [ zenon_intro zenon_H5d | zenon_intro zenon_H5e ]. % 11.22/11.42 cut (((op (e2) (e2)) = (op (e2) (e2))) = ((op (e2) (e1)) = (op (e2) (e2)))). % 11.22/11.42 intro zenon_D_pnotp. % 11.22/11.42 apply zenon_Hc8. % 11.22/11.42 rewrite <- zenon_D_pnotp. % 11.22/11.42 exact zenon_H5d. % 11.22/11.42 cut (((op (e2) (e2)) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H5e]. % 11.22/11.42 cut (((op (e2) (e2)) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Hc9]. % 11.22/11.42 congruence. % 11.22/11.42 cut (((op (e2) (e2)) = (e2)) = ((op (e2) (e2)) = (op (e2) (e1)))). % 11.22/11.42 intro zenon_D_pnotp. % 11.22/11.42 apply zenon_Hc9. % 11.22/11.42 rewrite <- zenon_D_pnotp. % 11.22/11.42 exact zenon_H5a. % 11.22/11.42 cut (((e2) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Hca]. % 11.22/11.42 cut (((op (e2) (e2)) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H5e]. % 11.22/11.42 congruence. % 11.22/11.42 apply zenon_H5e. apply refl_equal. % 11.22/11.42 apply zenon_Hca. apply sym_equal. exact zenon_Hc7. % 11.22/11.42 apply zenon_H5e. apply refl_equal. % 11.22/11.42 apply zenon_H5e. apply refl_equal. % 11.22/11.42 (* end of lemma zenon_L54_ *) % 11.22/11.42 assert (zenon_L55_ : (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e0)) -> ((op (e2) (e1)) = (e0)) -> False). % 11.22/11.42 do 0 intro. intros zenon_Hcb zenon_H1e zenon_Hcc. % 11.22/11.42 cut (((op (e0) (e1)) = (e0)) = ((op (e0) (e1)) = (op (e2) (e1)))). % 11.22/11.42 intro zenon_D_pnotp. % 11.22/11.42 apply zenon_Hcb. % 11.22/11.42 rewrite <- zenon_D_pnotp. % 11.22/11.42 exact zenon_H1e. % 11.22/11.42 cut (((e0) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Hcd]. % 11.22/11.42 cut (((op (e0) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H74]. % 11.22/11.42 congruence. % 11.22/11.42 apply zenon_H74. apply refl_equal. % 11.22/11.42 apply zenon_Hcd. apply sym_equal. exact zenon_Hcc. % 11.22/11.42 (* end of lemma zenon_L55_ *) % 11.22/11.42 assert (zenon_L56_ : (~((e0) = (e2))) -> ((op (e2) (e2)) = (e2)) -> ((op (e2) (e2)) = (e0)) -> False). % 11.22/11.42 do 0 intro. intros zenon_H27 zenon_H5a zenon_Hce. % 11.22/11.42 cut (((op (e2) (e2)) = (e2)) = ((e0) = (e2))). % 11.22/11.42 intro zenon_D_pnotp. % 11.22/11.42 apply zenon_H27. % 11.22/11.42 rewrite <- zenon_D_pnotp. % 11.22/11.42 exact zenon_H5a. % 11.22/11.42 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H29]. % 11.22/11.42 cut (((op (e2) (e2)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_Hcf]. % 11.22/11.42 congruence. % 11.22/11.42 exact (zenon_Hcf zenon_Hce). % 11.22/11.42 apply zenon_H29. apply refl_equal. % 11.22/11.42 (* end of lemma zenon_L56_ *) % 11.22/11.42 assert (zenon_L57_ : ((op (e0) (e2)) = (e0)) -> ((op (e0) (e2)) = (e2)) -> (~((e0) = (e2))) -> False). % 11.22/11.42 do 0 intro. intros zenon_Hd0 zenon_H2f zenon_H27. % 11.22/11.42 elim (classic ((e2) = (e2))); [ zenon_intro zenon_H28 | zenon_intro zenon_H29 ]. % 11.22/11.42 cut (((e2) = (e2)) = ((e0) = (e2))). % 11.22/11.42 intro zenon_D_pnotp. % 11.22/11.42 apply zenon_H27. % 11.22/11.42 rewrite <- zenon_D_pnotp. % 11.22/11.42 exact zenon_H28. % 11.22/11.42 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H29]. % 11.22/11.42 cut (((e2) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H2a]. % 11.22/11.42 congruence. % 11.22/11.42 cut (((op (e0) (e2)) = (e0)) = ((e2) = (e0))). % 11.22/11.42 intro zenon_D_pnotp. % 11.22/11.42 apply zenon_H2a. % 11.22/11.42 rewrite <- zenon_D_pnotp. % 11.22/11.42 exact zenon_Hd0. % 11.22/11.42 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d]. % 11.22/11.42 cut (((op (e0) (e2)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H32]. % 11.22/11.42 congruence. % 11.22/11.42 exact (zenon_H32 zenon_H2f). % 11.22/11.42 apply zenon_H1d. apply refl_equal. % 11.22/11.42 apply zenon_H29. apply refl_equal. % 11.22/11.42 apply zenon_H29. apply refl_equal. % 11.22/11.42 (* end of lemma zenon_L57_ *) % 11.22/11.42 assert (zenon_L58_ : ((op (e0) (e0)) = (e1)) -> ((op (e0) (e0)) = (e3)) -> (~((e1) = (e3))) -> False). % 11.22/11.42 do 0 intro. intros zenon_H4f zenon_H33 zenon_H3c. % 11.22/11.42 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H35 | zenon_intro zenon_H36 ]. % 11.22/11.42 cut (((e3) = (e3)) = ((e1) = (e3))). % 11.22/11.42 intro zenon_D_pnotp. % 11.22/11.42 apply zenon_H3c. % 11.22/11.42 rewrite <- zenon_D_pnotp. % 11.22/11.42 exact zenon_H35. % 11.22/11.42 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H36]. % 11.22/11.42 cut (((e3) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H3d]. % 11.22/11.42 congruence. % 11.22/11.42 cut (((op (e0) (e0)) = (e1)) = ((e3) = (e1))). % 11.22/11.42 intro zenon_D_pnotp. % 11.22/11.42 apply zenon_H3d. % 11.22/11.42 rewrite <- zenon_D_pnotp. % 11.22/11.42 exact zenon_H4f. % 11.22/11.42 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H22]. % 11.22/11.42 cut (((op (e0) (e0)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H38]. % 11.22/11.42 congruence. % 11.22/11.42 exact (zenon_H38 zenon_H33). % 11.22/11.42 apply zenon_H22. apply refl_equal. % 11.22/11.42 apply zenon_H36. apply refl_equal. % 11.22/11.42 apply zenon_H36. apply refl_equal. % 11.22/11.42 (* end of lemma zenon_L58_ *) % 11.22/11.42 assert (zenon_L59_ : ((op (e0) (e2)) = (e0)) -> ((op (e0) (e2)) = (e3)) -> (~((e0) = (e3))) -> False). % 11.22/11.42 do 0 intro. intros zenon_Hd0 zenon_H3b zenon_H34. % 11.22/11.42 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H35 | zenon_intro zenon_H36 ]. % 11.22/11.42 cut (((e3) = (e3)) = ((e0) = (e3))). % 11.22/11.42 intro zenon_D_pnotp. % 11.22/11.42 apply zenon_H34. % 11.22/11.42 rewrite <- zenon_D_pnotp. % 11.22/11.42 exact zenon_H35. % 11.22/11.42 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H36]. % 11.22/11.42 cut (((e3) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H37]. % 11.22/11.42 congruence. % 11.22/11.42 cut (((op (e0) (e2)) = (e0)) = ((e3) = (e0))). % 11.22/11.42 intro zenon_D_pnotp. % 11.22/11.42 apply zenon_H37. % 11.22/11.42 rewrite <- zenon_D_pnotp. % 11.22/11.42 exact zenon_Hd0. % 11.22/11.42 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d]. % 11.22/11.42 cut (((op (e0) (e2)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H3e]. % 11.22/11.42 congruence. % 11.22/11.42 exact (zenon_H3e zenon_H3b). % 11.22/11.42 apply zenon_H1d. apply refl_equal. % 11.22/11.42 apply zenon_H36. apply refl_equal. % 11.22/11.42 apply zenon_H36. apply refl_equal. % 11.22/11.42 (* end of lemma zenon_L59_ *) % 11.22/11.42 assert (zenon_L60_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e0)) = (e1)) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> ((op (e0) (e3)) = (e2)) -> (~((e2) = (e3))) -> False). % 11.22/11.42 do 0 intro. intros zenon_H44 zenon_H3c zenon_H4f zenon_H1e zenon_H34 zenon_Hd0 zenon_H3f zenon_H41. % 11.22/11.42 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.22/11.42 apply (zenon_L58_); trivial. % 11.22/11.42 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.22/11.42 apply (zenon_L8_); trivial. % 11.22/11.42 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.22/11.42 apply (zenon_L59_); trivial. % 11.22/11.42 apply (zenon_L11_); trivial. % 11.22/11.42 (* end of lemma zenon_L60_ *) % 11.22/11.42 assert (zenon_L61_ : ((op (e0) (e2)) = (e0)) -> ((op (e0) (e2)) = (e1)) -> (~((e0) = (e1))) -> False). % 11.22/11.42 do 0 intro. intros zenon_Hd0 zenon_H2e zenon_H20. % 11.22/11.42 elim (classic ((e1) = (e1))); [ zenon_intro zenon_H21 | zenon_intro zenon_H22 ]. % 11.22/11.42 cut (((e1) = (e1)) = ((e0) = (e1))). % 11.22/11.42 intro zenon_D_pnotp. % 11.22/11.42 apply zenon_H20. % 11.22/11.42 rewrite <- zenon_D_pnotp. % 11.22/11.42 exact zenon_H21. % 11.22/11.42 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H22]. % 11.22/11.42 cut (((e1) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H23]. % 11.22/11.42 congruence. % 11.22/11.42 cut (((op (e0) (e2)) = (e0)) = ((e1) = (e0))). % 11.22/11.42 intro zenon_D_pnotp. % 11.22/11.42 apply zenon_H23. % 11.22/11.42 rewrite <- zenon_D_pnotp. % 11.22/11.42 exact zenon_Hd0. % 11.22/11.42 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d]. % 11.22/11.42 cut (((op (e0) (e2)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_Hd1]. % 11.22/11.42 congruence. % 11.22/11.42 exact (zenon_Hd1 zenon_H2e). % 11.22/11.42 apply zenon_H1d. apply refl_equal. % 11.22/11.42 apply zenon_H22. apply refl_equal. % 11.22/11.42 apply zenon_H22. apply refl_equal. % 11.22/11.42 (* end of lemma zenon_L61_ *) % 11.22/11.42 assert (zenon_L62_ : (~((op (e0) (op (e0) (e0))) = (op (e0) (e3)))) -> ((op (e0) (e0)) = (e3)) -> False). % 11.22/11.42 do 0 intro. intros zenon_Hd2 zenon_H33. % 11.22/11.42 cut (((op (e0) (e0)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H38]. % 11.22/11.42 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d]. % 11.22/11.42 congruence. % 11.22/11.42 apply zenon_H1d. apply refl_equal. % 11.22/11.42 exact (zenon_H38 zenon_H33). % 11.22/11.42 (* end of lemma zenon_L62_ *) % 11.22/11.42 assert (zenon_L63_ : ((op (e0) (e3)) = (e1)) -> ((op (e0) (e0)) = (e3)) -> (~((e1) = (op (e0) (op (e0) (e0))))) -> False). % 11.22/11.42 do 0 intro. intros zenon_H47 zenon_H33 zenon_Hd3. % 11.22/11.42 elim (classic ((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [ zenon_intro zenon_Hd4 | zenon_intro zenon_Hd5 ]. % 11.22/11.42 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0)))) = ((e1) = (op (e0) (op (e0) (e0))))). % 11.22/11.42 intro zenon_D_pnotp. % 11.22/11.42 apply zenon_Hd3. % 11.22/11.42 rewrite <- zenon_D_pnotp. % 11.22/11.42 exact zenon_Hd4. % 11.22/11.42 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_Hd5]. % 11.22/11.42 cut (((op (e0) (op (e0) (e0))) = (e1))); [idtac | apply NNPP; zenon_intro zenon_Hd6]. % 11.22/11.42 congruence. % 11.22/11.42 cut (((op (e0) (e3)) = (e1)) = ((op (e0) (op (e0) (e0))) = (e1))). % 11.22/11.42 intro zenon_D_pnotp. % 11.22/11.42 apply zenon_Hd6. % 11.22/11.42 rewrite <- zenon_D_pnotp. % 11.22/11.42 exact zenon_H47. % 11.22/11.42 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H22]. % 11.22/11.42 cut (((op (e0) (e3)) = (op (e0) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_Hd7]. % 11.22/11.42 congruence. % 11.22/11.42 elim (classic ((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [ zenon_intro zenon_Hd4 | zenon_intro zenon_Hd5 ]. % 11.22/11.42 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0)))) = ((op (e0) (e3)) = (op (e0) (op (e0) (e0))))). % 11.22/11.42 intro zenon_D_pnotp. % 11.22/11.42 apply zenon_Hd7. % 11.22/11.42 rewrite <- zenon_D_pnotp. % 11.22/11.42 exact zenon_Hd4. % 11.22/11.42 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_Hd5]. % 11.22/11.42 cut (((op (e0) (op (e0) (e0))) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hd2]. % 11.22/11.42 congruence. % 11.22/11.42 apply (zenon_L62_); trivial. % 11.22/11.42 apply zenon_Hd5. apply refl_equal. % 11.22/11.42 apply zenon_Hd5. apply refl_equal. % 11.22/11.42 apply zenon_H22. apply refl_equal. % 11.22/11.42 apply zenon_Hd5. apply refl_equal. % 11.22/11.42 apply zenon_Hd5. apply refl_equal. % 11.22/11.42 (* end of lemma zenon_L63_ *) % 11.22/11.42 assert (zenon_L64_ : ((op (e0) (e3)) = (e1)) -> ((op (e0) (e1)) = (e2)) -> ((op (e0) (e0)) = (e3)) -> False). % 11.22/11.42 do 0 intro. intros zenon_H47 zenon_H2c zenon_H33. % 11.22/11.42 apply (zenon_notand_s _ _ ax14); [ zenon_intro zenon_Hd3 | zenon_intro zenon_Hd8 ]. % 11.22/11.42 apply (zenon_L63_); trivial. % 11.22/11.42 apply (zenon_notand_s _ _ zenon_Hd8); [ zenon_intro zenon_Hda | zenon_intro zenon_Hd9 ]. % 11.22/11.42 elim (classic ((op (e0) (op (e0) (op (e0) (e0)))) = (op (e0) (op (e0) (op (e0) (e0)))))); [ zenon_intro zenon_Hdb | zenon_intro zenon_Hdc ]. % 11.22/11.42 cut (((op (e0) (op (e0) (op (e0) (e0)))) = (op (e0) (op (e0) (op (e0) (e0))))) = ((e2) = (op (e0) (op (e0) (op (e0) (e0)))))). % 11.22/11.42 intro zenon_D_pnotp. % 11.22/11.42 apply zenon_Hda. % 11.22/11.42 rewrite <- zenon_D_pnotp. % 11.22/11.42 exact zenon_Hdb. % 11.22/11.42 cut (((op (e0) (op (e0) (op (e0) (e0)))) = (op (e0) (op (e0) (op (e0) (e0)))))); [idtac | apply NNPP; zenon_intro zenon_Hdc]. % 11.22/11.42 cut (((op (e0) (op (e0) (op (e0) (e0)))) = (e2))); [idtac | apply NNPP; zenon_intro zenon_Hdd]. % 11.22/11.42 congruence. % 11.22/11.42 cut (((op (e0) (e1)) = (e2)) = ((op (e0) (op (e0) (op (e0) (e0)))) = (e2))). % 11.22/11.42 intro zenon_D_pnotp. % 11.22/11.42 apply zenon_Hdd. % 11.22/11.42 rewrite <- zenon_D_pnotp. % 11.22/11.42 exact zenon_H2c. % 11.22/11.42 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H29]. % 11.22/11.42 cut (((op (e0) (e1)) = (op (e0) (op (e0) (op (e0) (e0)))))); [idtac | apply NNPP; zenon_intro zenon_Hde]. % 11.22/11.42 congruence. % 11.22/11.42 elim (classic ((op (e0) (op (e0) (op (e0) (e0)))) = (op (e0) (op (e0) (op (e0) (e0)))))); [ zenon_intro zenon_Hdb | zenon_intro zenon_Hdc ]. % 11.22/11.42 cut (((op (e0) (op (e0) (op (e0) (e0)))) = (op (e0) (op (e0) (op (e0) (e0))))) = ((op (e0) (e1)) = (op (e0) (op (e0) (op (e0) (e0)))))). % 11.22/11.42 intro zenon_D_pnotp. % 11.22/11.42 apply zenon_Hde. % 11.22/11.42 rewrite <- zenon_D_pnotp. % 11.22/11.42 exact zenon_Hdb. % 11.22/11.42 cut (((op (e0) (op (e0) (op (e0) (e0)))) = (op (e0) (op (e0) (op (e0) (e0)))))); [idtac | apply NNPP; zenon_intro zenon_Hdc]. % 11.22/11.42 cut (((op (e0) (op (e0) (op (e0) (e0)))) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Hdf]. % 11.22/11.42 congruence. % 11.22/11.42 cut (((op (e0) (op (e0) (e0))) = (e1))); [idtac | apply NNPP; zenon_intro zenon_Hd6]. % 11.22/11.42 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d]. % 11.22/11.42 congruence. % 11.22/11.42 apply zenon_H1d. apply refl_equal. % 11.22/11.42 cut (((op (e0) (e3)) = (e1)) = ((op (e0) (op (e0) (e0))) = (e1))). % 11.22/11.42 intro zenon_D_pnotp. % 11.22/11.42 apply zenon_Hd6. % 11.22/11.42 rewrite <- zenon_D_pnotp. % 11.22/11.42 exact zenon_H47. % 11.22/11.42 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H22]. % 11.22/11.42 cut (((op (e0) (e3)) = (op (e0) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_Hd7]. % 11.22/11.42 congruence. % 11.22/11.42 elim (classic ((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [ zenon_intro zenon_Hd4 | zenon_intro zenon_Hd5 ]. % 11.22/11.42 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0)))) = ((op (e0) (e3)) = (op (e0) (op (e0) (e0))))). % 11.22/11.42 intro zenon_D_pnotp. % 11.22/11.42 apply zenon_Hd7. % 11.22/11.42 rewrite <- zenon_D_pnotp. % 11.22/11.42 exact zenon_Hd4. % 11.22/11.42 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_Hd5]. % 11.22/11.42 cut (((op (e0) (op (e0) (e0))) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hd2]. % 11.22/11.42 congruence. % 11.22/11.42 apply (zenon_L62_); trivial. % 11.22/11.42 apply zenon_Hd5. apply refl_equal. % 11.22/11.42 apply zenon_Hd5. apply refl_equal. % 11.22/11.42 apply zenon_H22. apply refl_equal. % 11.22/11.42 apply zenon_Hdc. apply refl_equal. % 11.22/11.42 apply zenon_Hdc. apply refl_equal. % 11.22/11.43 apply zenon_H29. apply refl_equal. % 11.22/11.43 apply zenon_Hdc. apply refl_equal. % 11.22/11.43 apply zenon_Hdc. apply refl_equal. % 11.22/11.43 apply zenon_Hd9. apply sym_equal. exact zenon_H33. % 11.22/11.43 (* end of lemma zenon_L64_ *) % 11.22/11.43 assert (zenon_L65_ : ((op (e0) (e1)) = (e2)) -> ((op (e0) (e1)) = (e3)) -> (~((e2) = (e3))) -> False). % 11.22/11.43 do 0 intro. intros zenon_H2c zenon_H39 zenon_H41. % 11.22/11.43 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H35 | zenon_intro zenon_H36 ]. % 11.22/11.43 cut (((e3) = (e3)) = ((e2) = (e3))). % 11.22/11.43 intro zenon_D_pnotp. % 11.22/11.43 apply zenon_H41. % 11.22/11.43 rewrite <- zenon_D_pnotp. % 11.22/11.43 exact zenon_H35. % 11.22/11.43 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H36]. % 11.22/11.43 cut (((e3) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H42]. % 11.22/11.43 congruence. % 11.22/11.43 cut (((op (e0) (e1)) = (e2)) = ((e3) = (e2))). % 11.22/11.43 intro zenon_D_pnotp. % 11.22/11.43 apply zenon_H42. % 11.22/11.43 rewrite <- zenon_D_pnotp. % 11.22/11.43 exact zenon_H2c. % 11.22/11.43 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H29]. % 11.22/11.43 cut (((op (e0) (e1)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H3a]. % 11.22/11.43 congruence. % 11.22/11.43 exact (zenon_H3a zenon_H39). % 11.22/11.43 apply zenon_H29. apply refl_equal. % 11.22/11.43 apply zenon_H36. apply refl_equal. % 11.22/11.43 apply zenon_H36. apply refl_equal. % 11.22/11.43 (* end of lemma zenon_L65_ *) % 11.22/11.43 assert (zenon_L66_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e2)) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e3))) -> False). % 11.22/11.43 do 0 intro. intros zenon_H44 zenon_H41 zenon_H2c zenon_H34 zenon_Hd0 zenon_H47 zenon_H3c. % 11.22/11.43 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.22/11.43 apply (zenon_L64_); trivial. % 11.22/11.43 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.22/11.43 apply (zenon_L65_); trivial. % 11.22/11.43 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.22/11.43 apply (zenon_L59_); trivial. % 11.22/11.43 apply (zenon_L14_); trivial. % 11.22/11.43 (* end of lemma zenon_L66_ *) % 11.22/11.43 assert (zenon_L67_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e0)) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e2))) -> False). % 11.22/11.43 do 0 intro. intros zenon_H49 zenon_H2b zenon_H3c zenon_H34 zenon_H41 zenon_H44 zenon_H27 zenon_Hd0 zenon_H47 zenon_H30. % 11.22/11.43 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.22/11.43 exact (zenon_H2b zenon_H26). % 11.22/11.43 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.22/11.43 apply (zenon_L66_); trivial. % 11.22/11.43 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.22/11.43 apply (zenon_L57_); trivial. % 11.22/11.43 apply (zenon_L15_); trivial. % 11.22/11.43 (* end of lemma zenon_L67_ *) % 11.22/11.43 assert (zenon_L68_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e0)) -> (~((e1) = (e2))) -> False). % 11.22/11.43 do 0 intro. intros zenon_H4c zenon_H1e zenon_H20 zenon_H49 zenon_H2b zenon_H3c zenon_H34 zenon_H41 zenon_H44 zenon_H27 zenon_Hd0 zenon_H30. % 11.22/11.43 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.22/11.43 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.22/11.43 exact (zenon_H2b zenon_H26). % 11.22/11.43 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.22/11.43 apply (zenon_L4_); trivial. % 11.22/11.43 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.22/11.43 apply (zenon_L57_); trivial. % 11.22/11.43 apply (zenon_L60_); trivial. % 11.22/11.43 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.22/11.43 apply (zenon_L2_); trivial. % 11.22/11.43 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.22/11.43 apply (zenon_L61_); trivial. % 11.22/11.43 apply (zenon_L67_); trivial. % 11.22/11.43 (* end of lemma zenon_L68_ *) % 11.22/11.43 assert (zenon_L69_ : ((op (e1) (e2)) = (e0)) -> ((op (e1) (e2)) = (e3)) -> (~((e0) = (e3))) -> False). % 11.22/11.43 do 0 intro. intros zenon_He0 zenon_H89 zenon_H34. % 11.22/11.43 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H35 | zenon_intro zenon_H36 ]. % 11.22/11.43 cut (((e3) = (e3)) = ((e0) = (e3))). % 11.22/11.43 intro zenon_D_pnotp. % 11.22/11.43 apply zenon_H34. % 11.22/11.43 rewrite <- zenon_D_pnotp. % 11.22/11.43 exact zenon_H35. % 11.22/11.43 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H36]. % 11.22/11.43 cut (((e3) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H37]. % 11.22/11.43 congruence. % 11.22/11.43 cut (((op (e1) (e2)) = (e0)) = ((e3) = (e0))). % 11.22/11.43 intro zenon_D_pnotp. % 11.22/11.43 apply zenon_H37. % 11.22/11.43 rewrite <- zenon_D_pnotp. % 11.22/11.43 exact zenon_He0. % 11.22/11.43 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d]. % 11.22/11.43 cut (((op (e1) (e2)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H8a]. % 11.22/11.43 congruence. % 11.22/11.43 exact (zenon_H8a zenon_H89). % 11.22/11.43 apply zenon_H1d. apply refl_equal. % 11.22/11.43 apply zenon_H36. apply refl_equal. % 11.22/11.43 apply zenon_H36. apply refl_equal. % 11.22/11.43 (* end of lemma zenon_L69_ *) % 11.22/11.43 assert (zenon_L70_ : ((op (e2) (e2)) = (e2)) -> ((op (e2) (e2)) = (e3)) -> (~((e2) = (e3))) -> False). % 11.22/11.43 do 0 intro. intros zenon_H5a zenon_He1 zenon_H41. % 11.22/11.43 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H35 | zenon_intro zenon_H36 ]. % 11.22/11.43 cut (((e3) = (e3)) = ((e2) = (e3))). % 11.22/11.43 intro zenon_D_pnotp. % 11.22/11.43 apply zenon_H41. % 11.22/11.43 rewrite <- zenon_D_pnotp. % 11.22/11.43 exact zenon_H35. % 11.22/11.43 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H36]. % 11.22/11.43 cut (((e3) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H42]. % 11.22/11.43 congruence. % 11.22/11.43 cut (((op (e2) (e2)) = (e2)) = ((e3) = (e2))). % 11.22/11.43 intro zenon_D_pnotp. % 11.22/11.43 apply zenon_H42. % 11.22/11.43 rewrite <- zenon_D_pnotp. % 11.22/11.43 exact zenon_H5a. % 11.22/11.43 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H29]. % 11.22/11.43 cut (((op (e2) (e2)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_He2]. % 11.22/11.43 congruence. % 11.22/11.43 exact (zenon_He2 zenon_He1). % 11.22/11.43 apply zenon_H29. apply refl_equal. % 11.22/11.43 apply zenon_H36. apply refl_equal. % 11.22/11.43 apply zenon_H36. apply refl_equal. % 11.22/11.43 (* end of lemma zenon_L70_ *) % 11.22/11.43 assert (zenon_L71_ : (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e0)) -> ((op (e3) (e3)) = (e0)) -> False). % 11.22/11.43 do 0 intro. intros zenon_He3 zenon_H96 zenon_H9d. % 11.22/11.43 cut (((op (e2) (e3)) = (e0)) = ((op (e2) (e3)) = (op (e3) (e3)))). % 11.22/11.43 intro zenon_D_pnotp. % 11.22/11.43 apply zenon_He3. % 11.22/11.43 rewrite <- zenon_D_pnotp. % 11.22/11.43 exact zenon_H96. % 11.22/11.43 cut (((e0) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Ha6]. % 11.22/11.43 cut (((op (e2) (e3)) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_He4]. % 11.22/11.43 congruence. % 11.22/11.43 apply zenon_He4. apply refl_equal. % 11.22/11.43 apply zenon_Ha6. apply sym_equal. exact zenon_H9d. % 11.22/11.43 (* end of lemma zenon_L71_ *) % 11.22/11.43 assert (zenon_L72_ : (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e1)) -> ((op (e3) (e3)) = (e1)) -> False). % 11.22/11.43 do 0 intro. intros zenon_He5 zenon_He6 zenon_He7. % 11.22/11.43 cut (((op (e3) (e1)) = (e1)) = ((op (e3) (e1)) = (op (e3) (e3)))). % 11.22/11.43 intro zenon_D_pnotp. % 11.22/11.43 apply zenon_He5. % 11.22/11.43 rewrite <- zenon_D_pnotp. % 11.22/11.43 exact zenon_He6. % 11.22/11.43 cut (((e1) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_He8]. % 11.22/11.43 cut (((op (e3) (e1)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_He9]. % 11.22/11.43 congruence. % 11.22/11.43 apply zenon_He9. apply refl_equal. % 11.22/11.43 apply zenon_He8. apply sym_equal. exact zenon_He7. % 11.22/11.43 (* end of lemma zenon_L72_ *) % 11.22/11.43 assert (zenon_L73_ : (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e2)) -> ((op (e3) (e3)) = (e2)) -> False). % 11.22/11.43 do 0 intro. intros zenon_He5 zenon_Ha4 zenon_Hb4. % 11.22/11.43 cut (((op (e3) (e1)) = (e2)) = ((op (e3) (e1)) = (op (e3) (e3)))). % 11.22/11.43 intro zenon_D_pnotp. % 11.22/11.43 apply zenon_He5. % 11.22/11.43 rewrite <- zenon_D_pnotp. % 11.22/11.43 exact zenon_Ha4. % 11.22/11.43 cut (((e2) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hea]. % 11.22/11.43 cut (((op (e3) (e1)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_He9]. % 11.22/11.43 congruence. % 11.22/11.43 apply zenon_He9. apply refl_equal. % 11.22/11.43 apply zenon_Hea. apply sym_equal. exact zenon_Hb4. % 11.22/11.43 (* end of lemma zenon_L73_ *) % 11.22/11.43 assert (zenon_L74_ : (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e2)) = (e3)) -> ((op (e3) (e3)) = (e3)) -> False). % 11.22/11.43 do 0 intro. intros zenon_Heb zenon_Hec zenon_Hed. % 11.22/11.43 cut (((op (e3) (e2)) = (e3)) = ((op (e3) (e2)) = (op (e3) (e3)))). % 11.22/11.43 intro zenon_D_pnotp. % 11.22/11.43 apply zenon_Heb. % 11.22/11.43 rewrite <- zenon_D_pnotp. % 11.22/11.43 exact zenon_Hec. % 11.22/11.43 cut (((e3) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hee]. % 11.22/11.43 cut (((op (e3) (e2)) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hef]. % 11.22/11.43 congruence. % 11.22/11.43 apply zenon_Hef. apply refl_equal. % 11.22/11.43 apply zenon_Hee. apply sym_equal. exact zenon_Hed. % 11.22/11.43 (* end of lemma zenon_L74_ *) % 11.22/11.43 assert (zenon_L75_ : (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e0)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e1)) -> ((op (e3) (e1)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e2)) = (e3)) -> False). % 11.22/11.43 do 0 intro. intros zenon_Hf0 zenon_H96 zenon_He3 zenon_He6 zenon_Ha4 zenon_He5 zenon_Heb zenon_Hec. % 11.22/11.43 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf1 ]. % 11.22/11.43 apply (zenon_L71_); trivial. % 11.22/11.43 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_He7 | zenon_intro zenon_Hf2 ]. % 11.22/11.43 apply (zenon_L72_); trivial. % 11.22/11.43 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_Hb4 | zenon_intro zenon_Hed ]. % 11.22/11.43 apply (zenon_L73_); trivial. % 11.22/11.43 apply (zenon_L74_); trivial. % 11.22/11.43 (* end of lemma zenon_L75_ *) % 11.22/11.43 assert (zenon_L76_ : (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e1)) -> (~((e0) = (e3))) -> ((op (e1) (e2)) = (e0)) -> (~((e2) = (e3))) -> ((op (e2) (e2)) = (e2)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e0)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e1)) -> ((op (e3) (e1)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> False). % 11.22/11.43 do 0 intro. intros zenon_Hf3 zenon_H3c zenon_H2e zenon_H34 zenon_He0 zenon_H41 zenon_H5a zenon_Hf0 zenon_H96 zenon_He3 zenon_He6 zenon_Ha4 zenon_He5 zenon_Heb. % 11.22/11.43 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H3b | zenon_intro zenon_Hf4 ]. % 11.22/11.43 apply (zenon_L9_); trivial. % 11.22/11.43 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H89 | zenon_intro zenon_Hf5 ]. % 11.22/11.43 apply (zenon_L69_); trivial. % 11.22/11.43 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_He1 | zenon_intro zenon_Hec ]. % 11.22/11.43 apply (zenon_L70_); trivial. % 11.22/11.43 apply (zenon_L75_); trivial. % 11.22/11.43 (* end of lemma zenon_L76_ *) % 11.22/11.43 assert (zenon_L77_ : (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e0)) -> ((op (e3) (e2)) = (e0)) -> False). % 11.22/11.43 do 0 intro. intros zenon_Hf6 zenon_Hc3 zenon_Hf7. % 11.22/11.43 cut (((op (e3) (e0)) = (e0)) = ((op (e3) (e0)) = (op (e3) (e2)))). % 11.22/11.43 intro zenon_D_pnotp. % 11.22/11.43 apply zenon_Hf6. % 11.22/11.43 rewrite <- zenon_D_pnotp. % 11.22/11.43 exact zenon_Hc3. % 11.22/11.43 cut (((e0) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hf8]. % 11.22/11.43 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hf9]. % 11.22/11.43 congruence. % 11.22/11.43 apply zenon_Hf9. apply refl_equal. % 11.22/11.43 apply zenon_Hf8. apply sym_equal. exact zenon_Hf7. % 11.22/11.43 (* end of lemma zenon_L77_ *) % 11.22/11.43 assert (zenon_L78_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e1))) -> ((op (e0) (e1)) = (e0)) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e2)) -> ((op (e3) (e1)) = (e1)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e1)) -> (~((e1) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e2) (e2)) = (e2)) -> (~((e0) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e0)) -> False). % 11.22/11.43 do 0 intro. intros zenon_Hfa zenon_H6f zenon_Hcb zenon_Hfb zenon_H30 zenon_H44 zenon_H2b zenon_H49 zenon_H20 zenon_H1e zenon_H4c zenon_Heb zenon_He5 zenon_Ha4 zenon_He6 zenon_He3 zenon_Hf0 zenon_H41 zenon_H34 zenon_H2e zenon_H3c zenon_Hf3 zenon_H5a zenon_H27 zenon_Hf6 zenon_Hc3. % 11.22/11.43 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H6e | zenon_intro zenon_Hfc ]. % 11.22/11.43 apply (zenon_L29_); trivial. % 11.22/11.43 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hfd ]. % 11.22/11.43 apply (zenon_L55_); trivial. % 11.22/11.43 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hce | zenon_intro zenon_H96 ]. % 11.22/11.43 apply (zenon_L56_); trivial. % 11.22/11.43 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hd0 | zenon_intro zenon_Hfe ]. % 11.22/11.43 apply (zenon_L68_); trivial. % 11.22/11.43 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_He0 | zenon_intro zenon_Hff ]. % 11.22/11.43 apply (zenon_L76_); trivial. % 11.22/11.43 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Hce | zenon_intro zenon_Hf7 ]. % 11.22/11.43 apply (zenon_L56_); trivial. % 11.22/11.43 apply (zenon_L77_); trivial. % 11.22/11.43 (* end of lemma zenon_L78_ *) % 11.22/11.43 assert (zenon_L79_ : ((op (e3) (e0)) = (e0)) -> ((op (e3) (e0)) = (e1)) -> (~((e0) = (e1))) -> False). % 11.22/11.43 do 0 intro. intros zenon_Hc3 zenon_H99 zenon_H20. % 11.22/11.43 elim (classic ((e1) = (e1))); [ zenon_intro zenon_H21 | zenon_intro zenon_H22 ]. % 11.22/11.43 cut (((e1) = (e1)) = ((e0) = (e1))). % 11.22/11.43 intro zenon_D_pnotp. % 11.22/11.43 apply zenon_H20. % 11.22/11.43 rewrite <- zenon_D_pnotp. % 11.22/11.43 exact zenon_H21. % 11.22/11.43 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H22]. % 11.22/11.43 cut (((e1) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H23]. % 11.22/11.43 congruence. % 11.22/11.43 cut (((op (e3) (e0)) = (e0)) = ((e1) = (e0))). % 11.22/11.43 intro zenon_D_pnotp. % 11.22/11.43 apply zenon_H23. % 11.22/11.43 rewrite <- zenon_D_pnotp. % 11.22/11.43 exact zenon_Hc3. % 11.22/11.43 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d]. % 11.22/11.43 cut (((op (e3) (e0)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H100]. % 11.22/11.43 congruence. % 11.22/11.43 exact (zenon_H100 zenon_H99). % 11.22/11.43 apply zenon_H1d. apply refl_equal. % 11.22/11.43 apply zenon_H22. apply refl_equal. % 11.22/11.43 apply zenon_H22. apply refl_equal. % 11.22/11.43 (* end of lemma zenon_L79_ *) % 11.22/11.43 assert (zenon_L80_ : ((op (e3) (e2)) = (e3)) -> ((op (e0) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> False). % 11.22/11.43 do 0 intro. intros zenon_Hec zenon_H3b zenon_H101. % 11.22/11.43 elim (classic ((op (e3) (e2)) = (op (e3) (e2)))); [ zenon_intro zenon_H102 | zenon_intro zenon_Hef ]. % 11.22/11.43 cut (((op (e3) (e2)) = (op (e3) (e2))) = ((op (e0) (e2)) = (op (e3) (e2)))). % 11.22/11.43 intro zenon_D_pnotp. % 11.22/11.43 apply zenon_H101. % 11.22/11.43 rewrite <- zenon_D_pnotp. % 11.22/11.43 exact zenon_H102. % 11.22/11.43 cut (((op (e3) (e2)) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hef]. % 11.22/11.43 cut (((op (e3) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H103]. % 11.22/11.43 congruence. % 11.22/11.43 cut (((op (e3) (e2)) = (e3)) = ((op (e3) (e2)) = (op (e0) (e2)))). % 11.22/11.43 intro zenon_D_pnotp. % 11.22/11.43 apply zenon_H103. % 11.22/11.43 rewrite <- zenon_D_pnotp. % 11.22/11.43 exact zenon_Hec. % 11.22/11.43 cut (((e3) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H104]. % 11.22/11.43 cut (((op (e3) (e2)) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hef]. % 11.22/11.43 congruence. % 11.22/11.43 apply zenon_Hef. apply refl_equal. % 11.22/11.43 apply zenon_H104. apply sym_equal. exact zenon_H3b. % 11.22/11.43 apply zenon_Hef. apply refl_equal. % 11.22/11.43 apply zenon_Hef. apply refl_equal. % 11.22/11.43 (* end of lemma zenon_L80_ *) % 11.22/11.43 assert (zenon_L81_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e0)) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> ((op (e0) (e3)) = (e2)) -> (~((e2) = (e3))) -> False). % 11.22/11.43 do 0 intro. intros zenon_H44 zenon_H25 zenon_H34 zenon_H1e zenon_H101 zenon_Hec zenon_H3f zenon_H41. % 11.22/11.43 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.22/11.43 apply (zenon_L7_); trivial. % 11.22/11.43 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.22/11.43 apply (zenon_L8_); trivial. % 11.22/11.43 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.22/11.43 apply (zenon_L80_); trivial. % 11.22/11.43 apply (zenon_L11_); trivial. % 11.22/11.43 (* end of lemma zenon_L81_ *) % 11.22/11.43 assert (zenon_L82_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e3))) -> False). % 11.22/11.43 do 0 intro. intros zenon_H44 zenon_H41 zenon_H2c zenon_H101 zenon_Hec zenon_H47 zenon_H3c. % 11.22/11.43 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.22/11.43 apply (zenon_L64_); trivial. % 11.22/11.43 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.22/11.43 apply (zenon_L65_); trivial. % 11.22/11.43 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.22/11.43 apply (zenon_L80_); trivial. % 11.22/11.43 apply (zenon_L14_); trivial. % 11.22/11.43 (* end of lemma zenon_L82_ *) % 11.22/11.43 assert (zenon_L83_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e1) = (e3))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e2))) -> False). % 11.22/11.43 do 0 intro. intros zenon_H49 zenon_H2b zenon_H3c zenon_Hec zenon_H101 zenon_H41 zenon_H44 zenon_H65 zenon_H5a zenon_H47 zenon_H30. % 11.22/11.43 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.22/11.43 exact (zenon_H2b zenon_H26). % 11.22/11.43 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.22/11.43 apply (zenon_L82_); trivial. % 11.22/11.43 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.22/11.43 apply (zenon_L23_); trivial. % 11.22/11.43 apply (zenon_L15_); trivial. % 11.22/11.43 (* end of lemma zenon_L83_ *) % 11.22/11.43 assert (zenon_L84_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (~((e0) = (e1))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e3))) -> ((op (e0) (e0)) = (e0)) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e1) = (e3))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((e1) = (e2))) -> False). % 11.22/11.43 do 0 intro. intros zenon_H4c zenon_H4d zenon_H20 zenon_H1e zenon_H34 zenon_H25 zenon_H27 zenon_H49 zenon_H2b zenon_H3c zenon_Hec zenon_H101 zenon_H41 zenon_H44 zenon_H65 zenon_H5a zenon_H30. % 11.22/11.43 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.22/11.43 exact (zenon_H4d zenon_H4f). % 11.22/11.43 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.22/11.43 apply (zenon_L2_); trivial. % 11.22/11.43 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.22/11.43 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.22/11.43 exact (zenon_H2b zenon_H26). % 11.22/11.43 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.22/11.43 apply (zenon_L4_); trivial. % 11.22/11.43 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.22/11.43 apply (zenon_L6_); trivial. % 11.22/11.43 apply (zenon_L81_); trivial. % 11.22/11.43 apply (zenon_L83_); trivial. % 11.22/11.43 (* end of lemma zenon_L84_ *) % 11.22/11.43 assert (zenon_L85_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e1))) -> ((op (e2) (e0)) = (e1)) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e2)) = (e2)) -> (~((e0) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e1)) -> ((op (e3) (e1)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e2)) = (e3)) -> False). % 11.22/11.43 do 0 intro. intros zenon_Hfa zenon_H20 zenon_H6f zenon_H1e zenon_Hcb zenon_H5a zenon_H27 zenon_Hf0 zenon_He3 zenon_He6 zenon_Ha4 zenon_He5 zenon_Heb zenon_Hec. % 11.22/11.43 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H6e | zenon_intro zenon_Hfc ]. % 11.22/11.43 apply (zenon_L29_); trivial. % 11.22/11.43 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hfd ]. % 11.22/11.43 apply (zenon_L55_); trivial. % 11.22/11.43 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hce | zenon_intro zenon_H96 ]. % 11.22/11.43 apply (zenon_L56_); trivial. % 11.22/11.43 apply (zenon_L75_); trivial. % 11.22/11.43 (* end of lemma zenon_L85_ *) % 11.22/11.43 assert (zenon_L86_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e1))) -> ((op (e2) (e0)) = (e1)) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e2)) = (e2)) -> (~((e0) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e2)) = (e3)) -> False). % 11.22/11.43 do 0 intro. intros zenon_H105 zenon_H54 zenon_Hc4 zenon_H106 zenon_H68 zenon_Hc8 zenon_Hfa zenon_H20 zenon_H6f zenon_H1e zenon_Hcb zenon_H5a zenon_H27 zenon_Hf0 zenon_He3 zenon_He5 zenon_Heb zenon_Hec. % 11.22/11.43 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H1f | zenon_intro zenon_H107 ]. % 11.22/11.43 apply (zenon_L2_); trivial. % 11.22/11.43 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H56 | zenon_intro zenon_H108 ]. % 11.22/11.43 exact (zenon_H54 zenon_H56). % 11.22/11.43 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hc5 | zenon_intro zenon_He6 ]. % 11.22/11.43 apply (zenon_L53_); trivial. % 11.22/11.43 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H2c | zenon_intro zenon_H109 ]. % 11.22/11.43 apply (zenon_L4_); trivial. % 11.22/11.43 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H6c | zenon_intro zenon_H10a ]. % 11.22/11.43 exact (zenon_H68 zenon_H6c). % 11.22/11.43 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Ha4 ]. % 11.22/11.43 apply (zenon_L54_); trivial. % 11.22/11.43 apply (zenon_L85_); trivial. % 11.22/11.43 (* end of lemma zenon_L86_ *) % 11.22/11.43 assert (zenon_L87_ : (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e0)) -> ((op (e1) (e1)) = (e0)) -> False). % 11.22/11.43 do 0 intro. intros zenon_H10b zenon_H1e zenon_H10c. % 11.22/11.43 cut (((op (e0) (e1)) = (e0)) = ((op (e0) (e1)) = (op (e1) (e1)))). % 11.22/11.43 intro zenon_D_pnotp. % 11.22/11.43 apply zenon_H10b. % 11.22/11.43 rewrite <- zenon_D_pnotp. % 11.22/11.43 exact zenon_H1e. % 11.22/11.43 cut (((e0) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H10d]. % 11.22/11.43 cut (((op (e0) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H74]. % 11.22/11.43 congruence. % 11.22/11.43 apply zenon_H74. apply refl_equal. % 11.22/11.43 apply zenon_H10d. apply sym_equal. exact zenon_H10c. % 11.22/11.43 (* end of lemma zenon_L87_ *) % 11.22/11.43 assert (zenon_L88_ : (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e0)) -> ((op (e1) (e2)) = (e0)) -> False). % 11.22/11.43 do 0 intro. intros zenon_H10e zenon_H57 zenon_He0. % 11.22/11.43 cut (((op (e1) (e0)) = (e0)) = ((op (e1) (e0)) = (op (e1) (e2)))). % 11.22/11.43 intro zenon_D_pnotp. % 11.22/11.43 apply zenon_H10e. % 11.22/11.43 rewrite <- zenon_D_pnotp. % 11.22/11.43 exact zenon_H57. % 11.22/11.43 cut (((e0) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H10f]. % 11.22/11.43 cut (((op (e1) (e0)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H110]. % 11.22/11.43 congruence. % 11.22/11.43 apply zenon_H110. apply refl_equal. % 11.22/11.43 apply zenon_H10f. apply sym_equal. exact zenon_He0. % 11.22/11.43 (* end of lemma zenon_L88_ *) % 11.22/11.43 assert (zenon_L89_ : (~((e0) = (e3))) -> ((op (e3) (e2)) = (e3)) -> ((op (e3) (e2)) = (e0)) -> False). % 11.22/11.43 do 0 intro. intros zenon_H34 zenon_Hec zenon_Hf7. % 11.22/11.43 cut (((op (e3) (e2)) = (e3)) = ((e0) = (e3))). % 11.22/11.43 intro zenon_D_pnotp. % 11.22/11.43 apply zenon_H34. % 11.22/11.43 rewrite <- zenon_D_pnotp. % 11.22/11.43 exact zenon_Hec. % 11.22/11.43 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H36]. % 11.22/11.43 cut (((op (e3) (e2)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H111]. % 11.22/11.43 congruence. % 11.22/11.43 exact (zenon_H111 zenon_Hf7). % 11.22/11.43 apply zenon_H36. apply refl_equal. % 11.22/11.43 (* end of lemma zenon_L89_ *) % 11.22/11.43 assert (zenon_L90_ : (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e0) (e2)) = (e1)) -> (~((e1) = (e3))) -> ((op (e1) (e2)) = (e1)) -> (~((e2) = (e3))) -> ((op (e2) (e2)) = (e2)) -> (~((e0) = (e3))) -> ((op (e3) (e2)) = (e0)) -> False). % 11.22/11.43 do 0 intro. intros zenon_Hf3 zenon_H2e zenon_H3c zenon_H88 zenon_H41 zenon_H5a zenon_H34 zenon_Hf7. % 11.22/11.43 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H3b | zenon_intro zenon_Hf4 ]. % 11.22/11.43 apply (zenon_L9_); trivial. % 11.22/11.43 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H89 | zenon_intro zenon_Hf5 ]. % 11.22/11.43 apply (zenon_L35_); trivial. % 11.22/11.43 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_He1 | zenon_intro zenon_Hec ]. % 11.22/11.43 apply (zenon_L70_); trivial. % 11.22/11.43 apply (zenon_L89_); trivial. % 11.22/11.43 (* end of lemma zenon_L90_ *) % 11.22/11.43 assert (zenon_L91_ : (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e1))) -> ((op (e0) (e1)) = (e0)) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e0) (e2)) = (e1)) -> (~((e1) = (e3))) -> ((op (e1) (e2)) = (e1)) -> (~((e2) = (e3))) -> ((op (e2) (e2)) = (e2)) -> (~((e0) = (e3))) -> False). % 11.22/11.43 do 0 intro. intros zenon_Hfb zenon_H30 zenon_H44 zenon_H2b zenon_H49 zenon_H20 zenon_H1e zenon_H4c zenon_H57 zenon_H10e zenon_H27 zenon_Hf3 zenon_H2e zenon_H3c zenon_H88 zenon_H41 zenon_H5a zenon_H34. % 11.22/11.43 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hd0 | zenon_intro zenon_Hfe ]. % 11.22/11.43 apply (zenon_L68_); trivial. % 11.22/11.43 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_He0 | zenon_intro zenon_Hff ]. % 11.22/11.43 apply (zenon_L88_); trivial. % 11.22/11.43 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Hce | zenon_intro zenon_Hf7 ]. % 11.22/11.43 apply (zenon_L56_); trivial. % 11.22/11.43 apply (zenon_L90_); trivial. % 11.22/11.43 (* end of lemma zenon_L91_ *) % 11.22/11.43 assert (zenon_L92_ : (~((e0) = (e1))) -> ((op (e1) (e2)) = (e1)) -> ((op (e1) (e2)) = (e0)) -> False). % 11.22/11.43 do 0 intro. intros zenon_H20 zenon_H88 zenon_He0. % 11.22/11.43 cut (((op (e1) (e2)) = (e1)) = ((e0) = (e1))). % 11.22/11.43 intro zenon_D_pnotp. % 11.22/11.43 apply zenon_H20. % 11.22/11.43 rewrite <- zenon_D_pnotp. % 11.22/11.43 exact zenon_H88. % 11.22/11.43 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H22]. % 11.22/11.43 cut (((op (e1) (e2)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H112]. % 11.22/11.43 congruence. % 11.22/11.43 exact (zenon_H112 zenon_He0). % 11.22/11.43 apply zenon_H22. apply refl_equal. % 11.22/11.43 (* end of lemma zenon_L92_ *) % 11.22/11.43 assert (zenon_L93_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((op (e2) (e2)) = (e2)) -> ((op (e0) (e2)) = (e1)) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e0) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((e0) = (e1))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e1) (e0)) = (e2)) -> (~((e1) = (e3))) -> ((op (e1) (e2)) = (e1)) -> (~((e0) = (e3))) -> False). % 11.22/11.43 do 0 intro. intros zenon_H113 zenon_H5a zenon_H2e zenon_Hf3 zenon_H27 zenon_H10e zenon_H4c zenon_H49 zenon_H2b zenon_H44 zenon_H30 zenon_Hfb zenon_H1e zenon_H10b zenon_H20 zenon_H8d zenon_H41 zenon_H58 zenon_H3c zenon_H88 zenon_H34. % 11.22/11.43 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ]. % 11.22/11.43 apply (zenon_L91_); trivial. % 11.22/11.43 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ]. % 11.22/11.43 apply (zenon_L87_); trivial. % 11.22/11.43 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ]. % 11.22/11.43 apply (zenon_L92_); trivial. % 11.22/11.43 apply (zenon_L37_); trivial. % 11.22/11.43 (* end of lemma zenon_L93_ *) % 11.22/11.43 assert (zenon_L94_ : (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e0) = (e3))) -> ((op (e1) (e2)) = (e1)) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e0) = (e1))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e0)) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e0) (e2)) = (e1)) -> ((op (e2) (e2)) = (e2)) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((op (e2) (e0)) = (e0)) -> (~((e0) = (e2))) -> ((op (e3) (e0)) = (e1)) -> (~((e1) = (e2))) -> False). % 11.22/11.43 do 0 intro. intros zenon_Hb8 zenon_H34 zenon_H88 zenon_H3c zenon_H41 zenon_H8d zenon_H20 zenon_H10b zenon_H1e zenon_Hfb zenon_H44 zenon_H2b zenon_H49 zenon_H4c zenon_H10e zenon_Hf3 zenon_H2e zenon_H5a zenon_H113 zenon_H6e zenon_H27 zenon_H99 zenon_H30. % 11.22/11.43 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ]. % 11.22/11.43 exact (zenon_H2b zenon_H26). % 11.22/11.43 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ]. % 11.22/11.43 apply (zenon_L93_); trivial. % 11.22/11.43 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ]. % 11.22/11.43 apply (zenon_L48_); trivial. % 11.22/11.43 apply (zenon_L41_); trivial. % 11.22/11.43 (* end of lemma zenon_L94_ *) % 11.22/11.43 assert (zenon_L95_ : (~((e1) = (e2))) -> ((op (e2) (e1)) = (e2)) -> ((op (e2) (e1)) = (e1)) -> False). % 11.22/11.43 do 0 intro. intros zenon_H30 zenon_Hc7 zenon_Hc5. % 11.22/11.43 cut (((op (e2) (e1)) = (e2)) = ((e1) = (e2))). % 11.22/11.43 intro zenon_D_pnotp. % 11.22/11.43 apply zenon_H30. % 11.22/11.43 rewrite <- zenon_D_pnotp. % 11.22/11.43 exact zenon_Hc7. % 11.22/11.43 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H29]. % 11.22/11.43 cut (((op (e2) (e1)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H116]. % 11.22/11.43 congruence. % 11.22/11.43 exact (zenon_H116 zenon_Hc5). % 11.22/11.43 apply zenon_H29. apply refl_equal. % 11.22/11.43 (* end of lemma zenon_L95_ *) % 11.22/11.43 assert (zenon_L96_ : (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> ((op (e2) (e3)) = (e1)) -> False). % 11.22/11.43 do 0 intro. intros zenon_H117 zenon_H90 zenon_H118. % 11.22/11.43 cut (((op (e1) (e3)) = (e1)) = ((op (e1) (e3)) = (op (e2) (e3)))). % 11.22/11.43 intro zenon_D_pnotp. % 11.22/11.43 apply zenon_H117. % 11.22/11.43 rewrite <- zenon_D_pnotp. % 11.22/11.43 exact zenon_H90. % 11.22/11.43 cut (((e1) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H119]. % 11.22/11.43 cut (((op (e1) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H11a]. % 11.22/11.43 congruence. % 11.22/11.43 apply zenon_H11a. apply refl_equal. % 11.22/11.43 apply zenon_H119. apply sym_equal. exact zenon_H118. % 11.22/11.43 (* end of lemma zenon_L96_ *) % 11.22/11.43 assert (zenon_L97_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e2) (e0)) = (e0)) -> ((op (e2) (e1)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> False). % 11.22/11.43 do 0 intro. intros zenon_H11b zenon_H20 zenon_H6e zenon_Hc7 zenon_H30 zenon_H11c zenon_H117 zenon_H90. % 11.22/11.43 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H6f | zenon_intro zenon_H11d ]. % 11.22/11.43 apply (zenon_L29_); trivial. % 11.22/11.43 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H11e ]. % 11.22/11.43 apply (zenon_L95_); trivial. % 11.22/11.43 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H11f | zenon_intro zenon_H118 ]. % 11.22/11.43 exact (zenon_H11c zenon_H11f). % 11.22/11.43 apply (zenon_L96_); trivial. % 11.22/11.43 (* end of lemma zenon_L97_ *) % 11.22/11.43 assert (zenon_L98_ : ((op (e3) (e1)) = (e0)) -> ((op (e3) (e1)) = (e2)) -> (~((e0) = (e2))) -> False). % 11.22/11.43 do 0 intro. intros zenon_H120 zenon_Ha4 zenon_H27. % 11.22/11.43 elim (classic ((e2) = (e2))); [ zenon_intro zenon_H28 | zenon_intro zenon_H29 ]. % 11.22/11.43 cut (((e2) = (e2)) = ((e0) = (e2))). % 11.22/11.43 intro zenon_D_pnotp. % 11.22/11.43 apply zenon_H27. % 11.22/11.43 rewrite <- zenon_D_pnotp. % 11.22/11.43 exact zenon_H28. % 11.22/11.43 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H29]. % 11.22/11.43 cut (((e2) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H2a]. % 11.22/11.43 congruence. % 11.22/11.43 cut (((op (e3) (e1)) = (e0)) = ((e2) = (e0))). % 11.22/11.43 intro zenon_D_pnotp. % 11.22/11.43 apply zenon_H2a. % 11.22/11.43 rewrite <- zenon_D_pnotp. % 11.22/11.43 exact zenon_H120. % 11.22/11.43 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d]. % 11.22/11.43 cut (((op (e3) (e1)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H121]. % 11.22/11.43 congruence. % 11.22/11.43 exact (zenon_H121 zenon_Ha4). % 11.22/11.43 apply zenon_H1d. apply refl_equal. % 11.22/11.43 apply zenon_H29. apply refl_equal. % 11.22/11.43 apply zenon_H29. apply refl_equal. % 11.22/11.43 (* end of lemma zenon_L98_ *) % 11.22/11.43 assert (zenon_L99_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e1))) -> (~((e0) = (e2))) -> ((op (e3) (e2)) = (e3)) -> (~((e0) = (e3))) -> ((op (e3) (e0)) = (e1)) -> ((op (e3) (e1)) = (e2)) -> False). % 11.22/11.43 do 0 intro. intros zenon_H122 zenon_H20 zenon_H27 zenon_Hec zenon_H34 zenon_H99 zenon_Ha4. % 11.22/11.43 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H123 ]. % 11.22/11.43 apply (zenon_L79_); trivial. % 11.22/11.43 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H120 | zenon_intro zenon_H124 ]. % 11.22/11.43 apply (zenon_L98_); trivial. % 11.22/11.43 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H9d ]. % 11.22/11.43 apply (zenon_L89_); trivial. % 11.22/11.43 apply (zenon_L45_); trivial. % 11.22/11.43 (* end of lemma zenon_L99_ *) % 11.22/11.43 assert (zenon_L100_ : (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e1)) -> ((op (e1) (e2)) = (e0)) -> (~((e2) = (e3))) -> ((op (e2) (e2)) = (e2)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e1))) -> (~((e0) = (e2))) -> (~((e0) = (e3))) -> ((op (e3) (e0)) = (e1)) -> ((op (e3) (e1)) = (e2)) -> False). % 11.22/11.43 do 0 intro. intros zenon_Hf3 zenon_H3c zenon_H2e zenon_He0 zenon_H41 zenon_H5a zenon_H122 zenon_H20 zenon_H27 zenon_H34 zenon_H99 zenon_Ha4. % 11.22/11.43 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H3b | zenon_intro zenon_Hf4 ]. % 11.22/11.43 apply (zenon_L9_); trivial. % 11.22/11.43 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H89 | zenon_intro zenon_Hf5 ]. % 11.22/11.43 apply (zenon_L69_); trivial. % 11.22/11.43 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_He1 | zenon_intro zenon_Hec ]. % 11.22/11.43 apply (zenon_L70_); trivial. % 11.22/11.43 apply (zenon_L99_); trivial. % 11.22/11.43 (* end of lemma zenon_L100_ *) % 11.22/11.43 assert (zenon_L101_ : ((op (e3) (e2)) = (e3)) -> ((op (e1) (e2)) = (e3)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> False). % 11.22/11.43 do 0 intro. intros zenon_Hec zenon_H89 zenon_H125. % 11.22/11.43 elim (classic ((op (e3) (e2)) = (op (e3) (e2)))); [ zenon_intro zenon_H102 | zenon_intro zenon_Hef ]. % 11.22/11.43 cut (((op (e3) (e2)) = (op (e3) (e2))) = ((op (e1) (e2)) = (op (e3) (e2)))). % 11.22/11.43 intro zenon_D_pnotp. % 11.22/11.43 apply zenon_H125. % 11.22/11.43 rewrite <- zenon_D_pnotp. % 11.22/11.43 exact zenon_H102. % 11.22/11.43 cut (((op (e3) (e2)) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hef]. % 11.22/11.43 cut (((op (e3) (e2)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H126]. % 11.22/11.43 congruence. % 11.22/11.43 cut (((op (e3) (e2)) = (e3)) = ((op (e3) (e2)) = (op (e1) (e2)))). % 11.22/11.43 intro zenon_D_pnotp. % 11.22/11.43 apply zenon_H126. % 11.22/11.43 rewrite <- zenon_D_pnotp. % 11.22/11.43 exact zenon_Hec. % 11.22/11.43 cut (((e3) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H127]. % 11.22/11.43 cut (((op (e3) (e2)) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hef]. % 11.22/11.43 congruence. % 11.22/11.43 apply zenon_Hef. apply refl_equal. % 11.22/11.43 apply zenon_H127. apply sym_equal. exact zenon_H89. % 11.22/11.43 apply zenon_Hef. apply refl_equal. % 11.22/11.43 apply zenon_Hef. apply refl_equal. % 11.22/11.43 (* end of lemma zenon_L101_ *) % 11.22/11.43 assert (zenon_L102_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e1) (e0)) = (e2)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> ((op (e1) (e3)) = (e0)) -> (~((e0) = (e3))) -> False). % 11.22/11.43 do 0 intro. intros zenon_H8d zenon_H41 zenon_H58 zenon_H125 zenon_Hec zenon_H7a zenon_H34. % 11.22/11.43 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H75 | zenon_intro zenon_H8e ]. % 11.22/11.43 apply (zenon_L31_); trivial. % 11.22/11.43 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H78 | zenon_intro zenon_H8f ]. % 11.22/11.43 apply (zenon_L34_); trivial. % 11.22/11.43 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H8b ]. % 11.22/11.43 apply (zenon_L101_); trivial. % 11.22/11.43 apply (zenon_L36_); trivial. % 11.22/11.43 (* end of lemma zenon_L102_ *) % 11.22/11.43 assert (zenon_L103_ : ((op (e1) (e3)) = (e0)) -> ((op (e1) (e3)) = (e2)) -> (~((e0) = (e2))) -> False). % 11.22/11.43 do 0 intro. intros zenon_H7a zenon_H62 zenon_H27. % 11.22/11.43 elim (classic ((e2) = (e2))); [ zenon_intro zenon_H28 | zenon_intro zenon_H29 ]. % 11.22/11.43 cut (((e2) = (e2)) = ((e0) = (e2))). % 11.22/11.43 intro zenon_D_pnotp. % 11.22/11.43 apply zenon_H27. % 11.22/11.43 rewrite <- zenon_D_pnotp. % 11.22/11.43 exact zenon_H28. % 11.22/11.43 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H29]. % 11.22/11.43 cut (((e2) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H2a]. % 11.22/11.43 congruence. % 11.22/11.43 cut (((op (e1) (e3)) = (e0)) = ((e2) = (e0))). % 11.22/11.43 intro zenon_D_pnotp. % 11.22/11.43 apply zenon_H2a. % 11.22/11.43 rewrite <- zenon_D_pnotp. % 11.22/11.43 exact zenon_H7a. % 11.22/11.43 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d]. % 11.22/11.43 cut (((op (e1) (e3)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H128]. % 11.22/11.43 congruence. % 11.22/11.43 exact (zenon_H128 zenon_H62). % 11.22/11.43 apply zenon_H1d. apply refl_equal. % 11.22/11.43 apply zenon_H29. apply refl_equal. % 11.22/11.43 apply zenon_H29. apply refl_equal. % 11.22/11.43 (* end of lemma zenon_L103_ *) % 11.22/11.43 assert (zenon_L104_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e0) = (e3))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((e2) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> ((op (e1) (e3)) = (e0)) -> (~((e0) = (e2))) -> False). % 11.22/11.43 do 0 intro. intros zenon_H69 zenon_H34 zenon_Hec zenon_H125 zenon_H41 zenon_H8d zenon_H68 zenon_H5c zenon_H5a zenon_H7a zenon_H27. % 11.22/11.43 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H58 | zenon_intro zenon_H6a ]. % 11.22/11.43 apply (zenon_L102_); trivial. % 11.22/11.43 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6c | zenon_intro zenon_H6b ]. % 11.22/11.43 exact (zenon_H68 zenon_H6c). % 11.22/11.43 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H5b | zenon_intro zenon_H62 ]. % 11.22/11.43 apply (zenon_L21_); trivial. % 11.22/11.43 apply (zenon_L103_); trivial. % 11.22/11.43 (* end of lemma zenon_L104_ *) % 11.22/11.43 assert (zenon_L105_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (~((e0) = (e1))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> ((op (e0) (e0)) = (e0)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e0) = (e2))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((e1) = (e2))) -> False). % 11.22/11.43 do 0 intro. intros zenon_H4c zenon_H4d zenon_H20 zenon_H41 zenon_H3c zenon_H34 zenon_H25 zenon_H44 zenon_H49 zenon_H2b zenon_H27 zenon_H1e zenon_H65 zenon_H5a zenon_H30. % 11.22/11.43 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.22/11.43 exact (zenon_H4d zenon_H4f). % 11.22/11.43 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.22/11.43 apply (zenon_L2_); trivial. % 11.22/11.43 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.22/11.43 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.22/11.43 exact (zenon_H2b zenon_H26). % 11.22/11.43 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.22/11.43 apply (zenon_L4_); trivial. % 11.22/11.43 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.22/11.43 apply (zenon_L23_); trivial. % 11.22/11.43 apply (zenon_L12_); trivial. % 11.22/11.43 apply (zenon_L24_); trivial. % 11.22/11.43 (* end of lemma zenon_L105_ *) % 11.22/11.43 assert (zenon_L106_ : ((op (e1) (e2)) = (e1)) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> False). % 11.22/11.43 do 0 intro. intros zenon_H88 zenon_H6d zenon_H10e. % 11.22/11.43 elim (classic ((op (e1) (e2)) = (op (e1) (e2)))); [ zenon_intro zenon_H129 | zenon_intro zenon_H12a ]. % 11.22/11.43 cut (((op (e1) (e2)) = (op (e1) (e2))) = ((op (e1) (e0)) = (op (e1) (e2)))). % 11.22/11.43 intro zenon_D_pnotp. % 11.22/11.43 apply zenon_H10e. % 11.22/11.43 rewrite <- zenon_D_pnotp. % 11.22/11.43 exact zenon_H129. % 11.22/11.43 cut (((op (e1) (e2)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H12a]. % 11.22/11.43 cut (((op (e1) (e2)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H12b]. % 11.22/11.43 congruence. % 11.22/11.43 cut (((op (e1) (e2)) = (e1)) = ((op (e1) (e2)) = (op (e1) (e0)))). % 11.22/11.43 intro zenon_D_pnotp. % 11.22/11.43 apply zenon_H12b. % 11.22/11.43 rewrite <- zenon_D_pnotp. % 11.22/11.43 exact zenon_H88. % 11.22/11.43 cut (((e1) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H12c]. % 11.22/11.43 cut (((op (e1) (e2)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H12a]. % 11.22/11.43 congruence. % 11.22/11.43 apply zenon_H12a. apply refl_equal. % 11.22/11.43 apply zenon_H12c. apply sym_equal. exact zenon_H6d. % 11.22/11.43 apply zenon_H12a. apply refl_equal. % 11.22/11.43 apply zenon_H12a. apply refl_equal. % 11.22/11.43 (* end of lemma zenon_L106_ *) % 11.22/11.43 assert (zenon_L107_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e0) = (e3))) -> ((op (e1) (e2)) = (e1)) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e0) = (e1))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e0)) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e0) (e2)) = (e1)) -> ((op (e2) (e2)) = (e2)) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((op (e2) (e0)) = (e0)) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> False). % 11.22/11.43 do 0 intro. intros zenon_Hb7 zenon_H4d zenon_Hb8 zenon_H34 zenon_H88 zenon_H3c zenon_H41 zenon_H8d zenon_H20 zenon_H10b zenon_H1e zenon_Hfb zenon_H44 zenon_H2b zenon_H49 zenon_H4c zenon_H10e zenon_Hf3 zenon_H2e zenon_H5a zenon_H113 zenon_H6e zenon_H27 zenon_H30. % 11.22/11.43 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ]. % 11.22/11.43 exact (zenon_H4d zenon_H4f). % 11.22/11.43 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ]. % 11.22/11.43 apply (zenon_L106_); trivial. % 11.22/11.43 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ]. % 11.22/11.43 apply (zenon_L29_); trivial. % 11.22/11.43 apply (zenon_L94_); trivial. % 11.22/11.43 (* end of lemma zenon_L107_ *) % 11.22/11.43 assert (zenon_L108_ : (~((e1) = (e2))) -> ((op (e2) (e0)) = (e2)) -> ((op (e2) (e0)) = (e1)) -> False). % 11.22/11.43 do 0 intro. intros zenon_H30 zenon_Hb5 zenon_H6f. % 11.22/11.43 cut (((op (e2) (e0)) = (e2)) = ((e1) = (e2))). % 11.22/11.43 intro zenon_D_pnotp. % 11.22/11.43 apply zenon_H30. % 11.22/11.43 rewrite <- zenon_D_pnotp. % 11.22/11.43 exact zenon_Hb5. % 11.22/11.43 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H29]. % 11.22/11.43 cut (((op (e2) (e0)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H70]. % 11.22/11.43 congruence. % 11.22/11.43 exact (zenon_H70 zenon_H6f). % 11.22/11.43 apply zenon_H29. apply refl_equal. % 11.22/11.43 (* end of lemma zenon_L108_ *) % 11.22/11.43 assert (zenon_L109_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((op (e2) (e2)) = (e2)) -> ((op (e0) (e2)) = (e1)) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> ((op (e1) (e2)) = (e1)) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e1))) -> False). % 11.22/11.43 do 0 intro. intros zenon_Hb7 zenon_H4d zenon_Hc0 zenon_H27 zenon_H30 zenon_H113 zenon_H5a zenon_H2e zenon_Hf3 zenon_H10e zenon_H4c zenon_H49 zenon_H2b zenon_H44 zenon_Hfb zenon_H1e zenon_H10b zenon_H8d zenon_H41 zenon_H3c zenon_H88 zenon_H34 zenon_Hb8 zenon_Hc3 zenon_H20. % 11.22/11.43 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ]. % 11.22/11.43 exact (zenon_H4d zenon_H4f). % 11.22/11.43 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ]. % 11.22/11.43 apply (zenon_L52_); trivial. % 11.22/11.43 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ]. % 11.22/11.43 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ]. % 11.22/11.43 exact (zenon_H2b zenon_H26). % 11.22/11.43 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ]. % 11.22/11.43 apply (zenon_L93_); trivial. % 11.22/11.43 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ]. % 11.22/11.43 apply (zenon_L108_); trivial. % 11.22/11.43 apply (zenon_L51_); trivial. % 11.22/11.43 apply (zenon_L79_); trivial. % 11.22/11.43 (* end of lemma zenon_L109_ *) % 11.22/11.43 assert (zenon_L110_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e0) = (e3))) -> ((op (e1) (e2)) = (e1)) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e0) = (e2))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((e1) = (e2))) -> False). % 11.22/11.43 do 0 intro. intros zenon_H12d zenon_H20 zenon_Hb8 zenon_H34 zenon_H88 zenon_H3c zenon_H41 zenon_H8d zenon_H10b zenon_Hfb zenon_H44 zenon_H4c zenon_H10e zenon_Hf3 zenon_H113 zenon_Hc0 zenon_H4d zenon_Hb7 zenon_H49 zenon_H2b zenon_H27 zenon_H1e zenon_H65 zenon_H5a zenon_H30. % 11.22/11.43 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H25 | zenon_intro zenon_H12e ]. % 11.22/11.43 apply (zenon_L105_); trivial. % 11.22/11.43 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H57 | zenon_intro zenon_H12f ]. % 11.22/11.43 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.22/11.43 exact (zenon_H4d zenon_H4f). % 11.22/11.43 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.22/11.43 apply (zenon_L2_); trivial. % 11.22/11.43 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.22/11.43 apply (zenon_L91_); trivial. % 11.22/11.43 apply (zenon_L24_); trivial. % 11.22/11.43 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H6e | zenon_intro zenon_Hc3 ]. % 11.22/11.43 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.22/11.43 exact (zenon_H4d zenon_H4f). % 11.22/11.43 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.22/11.43 apply (zenon_L2_); trivial. % 11.22/11.43 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.22/11.43 apply (zenon_L107_); trivial. % 11.22/11.43 apply (zenon_L24_); trivial. % 11.22/11.43 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.22/11.43 exact (zenon_H4d zenon_H4f). % 11.22/11.43 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.22/11.43 apply (zenon_L2_); trivial. % 11.22/11.43 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.22/11.43 apply (zenon_L109_); trivial. % 11.22/11.43 apply (zenon_L24_); trivial. % 11.22/11.43 (* end of lemma zenon_L110_ *) % 11.22/11.43 assert (zenon_L111_ : (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((op (e0) (e1)) = (e0)) -> ((op (e0) (e2)) = (e0)) -> False). % 11.22/11.43 do 0 intro. intros zenon_H130 zenon_H1e zenon_Hd0. % 11.22/11.43 cut (((op (e0) (e1)) = (e0)) = ((op (e0) (e1)) = (op (e0) (e2)))). % 11.22/11.43 intro zenon_D_pnotp. % 11.22/11.43 apply zenon_H130. % 11.22/11.43 rewrite <- zenon_D_pnotp. % 11.22/11.43 exact zenon_H1e. % 11.22/11.43 cut (((e0) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H131]. % 11.22/11.43 cut (((op (e0) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H74]. % 11.22/11.43 congruence. % 11.22/11.43 apply zenon_H74. apply refl_equal. % 11.22/11.43 apply zenon_H131. apply sym_equal. exact zenon_Hd0. % 11.22/11.43 (* end of lemma zenon_L111_ *) % 11.22/11.43 assert (zenon_L112_ : (((op (e2) (e2)) = (e2))/\(((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0)))/\(((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e1))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (e1))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> False). % 11.22/11.43 do 0 intro. intros zenon_H132 zenon_H130 zenon_H101 zenon_H10b zenon_H11b zenon_H117 zenon_H11c zenon_H122 zenon_H113 zenon_H10e zenon_H125 zenon_H4c zenon_H27 zenon_H30 zenon_H44 zenon_H41 zenon_H3c zenon_H34 zenon_H49 zenon_H1e zenon_H20 zenon_H4d zenon_H65 zenon_H69 zenon_H61 zenon_H5c zenon_Hb7 zenon_Hb9 zenon_Had zenon_Hb0 zenon_H95 zenon_H54 zenon_H8d zenon_H92 zenon_H71 zenon_Hb8 zenon_Hc0 zenon_H105 zenon_Hc8 zenon_Hfa zenon_Hf3 zenon_He3 zenon_He5 zenon_Heb zenon_Hf0 zenon_Hf6 zenon_Hfb zenon_Hcb zenon_H106 zenon_Hc4 zenon_H12d. % 11.22/11.43 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H5a. zenon_intro zenon_H133. % 11.22/11.43 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H135. zenon_intro zenon_H134. % 11.22/11.43 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H137. zenon_intro zenon_H136. % 11.22/11.43 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_H139. zenon_intro zenon_H138. % 11.22/11.43 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H2b | zenon_intro zenon_Hd0 ]. % 11.22/11.43 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H68 | zenon_intro zenon_H88 ]. % 11.22/11.43 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hec ]. % 11.22/11.43 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H25 | zenon_intro zenon_H12e ]. % 11.22/11.43 apply (zenon_L17_); trivial. % 11.22/11.43 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H57 | zenon_intro zenon_H12f ]. % 11.22/11.43 apply (zenon_L25_); trivial. % 11.22/11.43 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H6e | zenon_intro zenon_Hc3 ]. % 11.22/11.43 apply (zenon_L49_); trivial. % 11.22/11.43 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.22/11.43 exact (zenon_H4d zenon_H4f). % 11.22/11.43 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.22/11.43 apply (zenon_L2_); trivial. % 11.22/11.43 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.22/11.43 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ]. % 11.22/11.43 exact (zenon_H4d zenon_H4f). % 11.22/11.43 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ]. % 11.22/11.43 apply (zenon_L52_); trivial. % 11.22/11.43 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ]. % 11.22/11.43 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H1f | zenon_intro zenon_H107 ]. % 11.22/11.43 apply (zenon_L2_); trivial. % 11.22/11.43 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H56 | zenon_intro zenon_H108 ]. % 11.22/11.43 exact (zenon_H54 zenon_H56). % 11.22/11.43 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hc5 | zenon_intro zenon_He6 ]. % 11.22/11.43 apply (zenon_L53_); trivial. % 11.22/11.43 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H2c | zenon_intro zenon_H109 ]. % 11.22/11.43 apply (zenon_L4_); trivial. % 11.22/11.43 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H6c | zenon_intro zenon_H10a ]. % 11.22/11.43 exact (zenon_H68 zenon_H6c). % 11.22/11.43 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Ha4 ]. % 11.22/11.43 apply (zenon_L54_); trivial. % 11.22/11.43 apply (zenon_L78_); trivial. % 11.22/11.43 apply (zenon_L79_); trivial. % 11.22/11.43 apply (zenon_L24_); trivial. % 11.22/11.43 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H25 | zenon_intro zenon_H12e ]. % 11.22/11.43 apply (zenon_L84_); trivial. % 11.22/11.43 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H57 | zenon_intro zenon_H12f ]. % 11.22/11.43 apply (zenon_L25_); trivial. % 11.22/11.43 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H6e | zenon_intro zenon_Hc3 ]. % 11.22/11.43 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.22/11.43 exact (zenon_H4d zenon_H4f). % 11.22/11.43 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.22/11.43 apply (zenon_L2_); trivial. % 11.22/11.43 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.22/11.43 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ]. % 11.22/11.43 exact (zenon_H4d zenon_H4f). % 11.22/11.43 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ]. % 11.22/11.43 apply (zenon_L28_); trivial. % 11.22/11.43 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ]. % 11.22/11.43 apply (zenon_L86_); trivial. % 11.22/11.43 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ]. % 11.22/11.43 exact (zenon_H2b zenon_H26). % 11.22/11.43 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ]. % 11.22/11.43 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ]. % 11.22/11.43 apply (zenon_L20_); trivial. % 11.22/11.43 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ]. % 11.22/11.43 apply (zenon_L87_); trivial. % 11.22/11.43 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ]. % 11.22/11.43 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H6d | zenon_intro zenon_H93 ]. % 11.22/11.43 apply (zenon_L26_); trivial. % 11.22/11.43 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H56 | zenon_intro zenon_H94 ]. % 11.22/11.43 exact (zenon_H54 zenon_H56). % 11.22/11.43 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H88 | zenon_intro zenon_H90 ]. % 11.22/11.43 apply (zenon_L94_); trivial. % 11.22/11.43 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H2c | zenon_intro zenon_H109 ]. % 11.22/11.43 apply (zenon_L4_); trivial. % 11.22/11.43 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H6c | zenon_intro zenon_H10a ]. % 11.22/11.43 exact (zenon_H68 zenon_H6c). % 11.22/11.43 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Ha4 ]. % 11.22/11.43 apply (zenon_L97_); trivial. % 11.22/11.43 apply (zenon_L100_); trivial. % 11.22/11.43 apply (zenon_L104_); trivial. % 11.22/11.43 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ]. % 11.22/11.43 apply (zenon_L48_); trivial. % 11.22/11.43 apply (zenon_L41_); trivial. % 11.22/11.43 apply (zenon_L24_); trivial. % 11.22/11.43 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ]. % 11.22/11.43 exact (zenon_H4d zenon_H4f). % 11.22/11.43 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ]. % 11.22/11.43 apply (zenon_L28_); trivial. % 11.22/11.43 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ]. % 11.22/11.43 apply (zenon_L86_); trivial. % 11.22/11.43 apply (zenon_L79_); trivial. % 11.22/11.43 apply (zenon_L110_); trivial. % 11.22/11.43 apply (zenon_L111_); trivial. % 11.22/11.43 (* end of lemma zenon_L112_ *) % 11.22/11.43 assert (zenon_L113_ : ((op (e3) (e3)) = (e3)) -> ((op (e0) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False). % 11.22/11.43 do 0 intro. intros zenon_Hed zenon_H40 zenon_H13a. % 11.22/11.43 elim (classic ((op (e3) (e3)) = (op (e3) (e3)))); [ zenon_intro zenon_H13b | zenon_intro zenon_H13c ]. % 11.22/11.43 cut (((op (e3) (e3)) = (op (e3) (e3))) = ((op (e0) (e3)) = (op (e3) (e3)))). % 11.22/11.43 intro zenon_D_pnotp. % 11.22/11.43 apply zenon_H13a. % 11.22/11.43 rewrite <- zenon_D_pnotp. % 11.22/11.43 exact zenon_H13b. % 11.22/11.43 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H13c]. % 11.22/11.43 cut (((op (e3) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H13d]. % 11.22/11.43 congruence. % 11.22/11.43 cut (((op (e3) (e3)) = (e3)) = ((op (e3) (e3)) = (op (e0) (e3)))). % 11.22/11.43 intro zenon_D_pnotp. % 11.22/11.43 apply zenon_H13d. % 11.22/11.43 rewrite <- zenon_D_pnotp. % 11.22/11.43 exact zenon_Hed. % 11.22/11.43 cut (((e3) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H13e]. % 11.22/11.43 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H13c]. % 11.22/11.43 congruence. % 11.22/11.43 apply zenon_H13c. apply refl_equal. % 11.22/11.43 apply zenon_H13e. apply sym_equal. exact zenon_H40. % 11.22/11.43 apply zenon_H13c. apply refl_equal. % 11.22/11.43 apply zenon_H13c. apply refl_equal. % 11.22/11.43 (* end of lemma zenon_L113_ *) % 11.22/11.43 assert (zenon_L114_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e1)) -> ((op (e3) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False). % 11.22/11.43 do 0 intro. intros zenon_H44 zenon_H38 zenon_H34 zenon_H1e zenon_H3c zenon_H2e zenon_Hed zenon_H13a. % 11.22/11.43 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.22/11.43 exact (zenon_H38 zenon_H33). % 11.22/11.43 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.22/11.43 apply (zenon_L8_); trivial. % 11.22/11.43 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.22/11.43 apply (zenon_L9_); trivial. % 11.22/11.43 apply (zenon_L113_); trivial. % 11.22/11.43 (* end of lemma zenon_L114_ *) % 11.22/11.43 assert (zenon_L115_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e2)) -> ((op (e3) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False). % 11.22/11.43 do 0 intro. intros zenon_H44 zenon_H38 zenon_H34 zenon_H1e zenon_H41 zenon_H2f zenon_Hed zenon_H13a. % 11.22/11.43 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.22/11.43 exact (zenon_H38 zenon_H33). % 11.22/11.43 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.22/11.43 apply (zenon_L8_); trivial. % 11.22/11.43 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.22/11.43 apply (zenon_L13_); trivial. % 11.22/11.43 apply (zenon_L113_); trivial. % 11.22/11.43 (* end of lemma zenon_L115_ *) % 11.22/11.43 assert (zenon_L116_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e0) (e0)) = (e0)) -> (~((e0) = (e2))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e2))) -> False). % 11.22/11.43 do 0 intro. intros zenon_H49 zenon_H25 zenon_H27 zenon_H13a zenon_Hed zenon_H41 zenon_H1e zenon_H34 zenon_H38 zenon_H44 zenon_H47 zenon_H30. % 11.22/11.43 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.22/11.43 apply (zenon_L3_); trivial. % 11.22/11.43 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.22/11.43 apply (zenon_L4_); trivial. % 11.22/11.43 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.22/11.43 apply (zenon_L115_); trivial. % 11.22/11.43 apply (zenon_L15_); trivial. % 11.22/11.43 (* end of lemma zenon_L116_ *) % 11.22/11.43 assert (zenon_L117_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (~((e0) = (e1))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e0) (e0)) = (e0)) -> (~((e0) = (e2))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e2))) -> False). % 11.22/11.43 do 0 intro. intros zenon_H4c zenon_H4d zenon_H20 zenon_H3c zenon_H49 zenon_H25 zenon_H27 zenon_H13a zenon_Hed zenon_H41 zenon_H1e zenon_H34 zenon_H38 zenon_H44 zenon_H30. % 11.22/11.43 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.22/11.43 exact (zenon_H4d zenon_H4f). % 11.22/11.43 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.22/11.43 apply (zenon_L2_); trivial. % 11.22/11.43 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.22/11.43 apply (zenon_L114_); trivial. % 11.22/11.43 apply (zenon_L116_); trivial. % 11.22/11.43 (* end of lemma zenon_L117_ *) % 11.22/11.43 assert (zenon_L118_ : ((op (e1) (e0)) = (e0)) -> ((op (e1) (e0)) = (e3)) -> (~((e0) = (e3))) -> False). % 11.22/11.43 do 0 intro. intros zenon_H57 zenon_H75 zenon_H34. % 11.22/11.43 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H35 | zenon_intro zenon_H36 ]. % 11.22/11.43 cut (((e3) = (e3)) = ((e0) = (e3))). % 11.22/11.43 intro zenon_D_pnotp. % 11.22/11.43 apply zenon_H34. % 11.22/11.43 rewrite <- zenon_D_pnotp. % 11.22/11.43 exact zenon_H35. % 11.22/11.43 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H36]. % 11.22/11.43 cut (((e3) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H37]. % 11.22/11.43 congruence. % 11.22/11.43 cut (((op (e1) (e0)) = (e0)) = ((e3) = (e0))). % 11.22/11.43 intro zenon_D_pnotp. % 11.22/11.43 apply zenon_H37. % 11.22/11.43 rewrite <- zenon_D_pnotp. % 11.22/11.43 exact zenon_H57. % 11.22/11.43 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d]. % 11.22/11.43 cut (((op (e1) (e0)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H76]. % 11.22/11.43 congruence. % 11.22/11.43 exact (zenon_H76 zenon_H75). % 11.22/11.43 apply zenon_H1d. apply refl_equal. % 11.22/11.43 apply zenon_H36. apply refl_equal. % 11.22/11.43 apply zenon_H36. apply refl_equal. % 11.22/11.43 (* end of lemma zenon_L118_ *) % 11.22/11.43 assert (zenon_L119_ : (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e3)) -> ((op (e1) (e2)) = (e3)) -> False). % 11.22/11.43 do 0 intro. intros zenon_H13f zenon_H3b zenon_H89. % 11.22/11.43 cut (((op (e0) (e2)) = (e3)) = ((op (e0) (e2)) = (op (e1) (e2)))). % 11.22/11.43 intro zenon_D_pnotp. % 11.22/11.43 apply zenon_H13f. % 11.22/11.43 rewrite <- zenon_D_pnotp. % 11.22/11.43 exact zenon_H3b. % 11.22/11.43 cut (((e3) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H127]. % 11.22/11.43 cut (((op (e0) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H140]. % 11.22/11.43 congruence. % 11.22/11.43 apply zenon_H140. apply refl_equal. % 11.22/11.43 apply zenon_H127. apply sym_equal. exact zenon_H89. % 11.22/11.43 (* end of lemma zenon_L119_ *) % 11.22/11.43 assert (zenon_L120_ : ((op (e3) (e3)) = (e3)) -> ((op (e1) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False). % 11.22/11.43 do 0 intro. intros zenon_Hed zenon_H8b zenon_H141. % 11.22/11.43 elim (classic ((op (e3) (e3)) = (op (e3) (e3)))); [ zenon_intro zenon_H13b | zenon_intro zenon_H13c ]. % 11.22/11.43 cut (((op (e3) (e3)) = (op (e3) (e3))) = ((op (e1) (e3)) = (op (e3) (e3)))). % 11.22/11.43 intro zenon_D_pnotp. % 11.22/11.43 apply zenon_H141. % 11.22/11.43 rewrite <- zenon_D_pnotp. % 11.22/11.43 exact zenon_H13b. % 11.22/11.43 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H13c]. % 11.22/11.43 cut (((op (e3) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H142]. % 11.22/11.43 congruence. % 11.22/11.43 cut (((op (e3) (e3)) = (e3)) = ((op (e3) (e3)) = (op (e1) (e3)))). % 11.22/11.43 intro zenon_D_pnotp. % 11.22/11.43 apply zenon_H142. % 11.22/11.43 rewrite <- zenon_D_pnotp. % 11.22/11.43 exact zenon_Hed. % 11.22/11.43 cut (((e3) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H143]. % 11.22/11.43 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H13c]. % 11.22/11.43 congruence. % 11.22/11.43 apply zenon_H13c. apply refl_equal. % 11.22/11.43 apply zenon_H143. apply sym_equal. exact zenon_H8b. % 11.22/11.43 apply zenon_H13c. apply refl_equal. % 11.22/11.43 apply zenon_H13c. apply refl_equal. % 11.22/11.43 (* end of lemma zenon_L120_ *) % 11.22/11.43 assert (zenon_L121_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e1)) = (e3))) -> ((op (e0) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False). % 11.22/11.43 do 0 intro. intros zenon_H8d zenon_H34 zenon_H57 zenon_H79 zenon_H3b zenon_H13f zenon_Hed zenon_H141. % 11.22/11.43 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H75 | zenon_intro zenon_H8e ]. % 11.22/11.43 apply (zenon_L118_); trivial. % 11.22/11.43 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H78 | zenon_intro zenon_H8f ]. % 11.22/11.43 exact (zenon_H79 zenon_H78). % 11.22/11.43 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H8b ]. % 11.22/11.43 apply (zenon_L119_); trivial. % 11.22/11.43 apply (zenon_L120_); trivial. % 11.22/11.43 (* end of lemma zenon_L121_ *) % 11.22/11.43 assert (zenon_L122_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e3))) -> ((op (e1) (e0)) = (e0)) -> (~((e0) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False). % 11.22/11.43 do 0 intro. intros zenon_H44 zenon_H38 zenon_H1e zenon_H141 zenon_H13f zenon_H79 zenon_H57 zenon_H34 zenon_H8d zenon_Hed zenon_H13a. % 11.22/11.43 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.22/11.43 exact (zenon_H38 zenon_H33). % 11.22/11.43 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.22/11.43 apply (zenon_L8_); trivial. % 11.22/11.43 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.22/11.43 apply (zenon_L121_); trivial. % 11.22/11.43 apply (zenon_L113_); trivial. % 11.22/11.43 (* end of lemma zenon_L122_ *) % 11.22/11.43 assert (zenon_L123_ : ((op (e1) (e0)) = (e1)) -> ((op (e1) (e0)) = (e3)) -> (~((e1) = (e3))) -> False). % 11.22/11.43 do 0 intro. intros zenon_H6d zenon_H75 zenon_H3c. % 11.22/11.43 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H35 | zenon_intro zenon_H36 ]. % 11.22/11.43 cut (((e3) = (e3)) = ((e1) = (e3))). % 11.22/11.43 intro zenon_D_pnotp. % 11.22/11.43 apply zenon_H3c. % 11.22/11.43 rewrite <- zenon_D_pnotp. % 11.22/11.43 exact zenon_H35. % 11.22/11.43 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H36]. % 11.22/11.43 cut (((e3) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H3d]. % 11.22/11.43 congruence. % 11.22/11.43 cut (((op (e1) (e0)) = (e1)) = ((e3) = (e1))). % 11.22/11.43 intro zenon_D_pnotp. % 11.22/11.43 apply zenon_H3d. % 11.22/11.43 rewrite <- zenon_D_pnotp. % 11.22/11.43 exact zenon_H6d. % 11.22/11.43 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H22]. % 11.22/11.43 cut (((op (e1) (e0)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H76]. % 11.22/11.43 congruence. % 11.22/11.43 exact (zenon_H76 zenon_H75). % 11.22/11.43 apply zenon_H22. apply refl_equal. % 11.22/11.43 apply zenon_H36. apply refl_equal. % 11.22/11.43 apply zenon_H36. apply refl_equal. % 11.22/11.43 (* end of lemma zenon_L123_ *) % 11.22/11.43 assert (zenon_L124_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e1)) = (e3))) -> ((op (e0) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False). % 11.22/11.43 do 0 intro. intros zenon_H8d zenon_H3c zenon_H6d zenon_H79 zenon_H3b zenon_H13f zenon_Hed zenon_H141. % 11.22/11.43 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H75 | zenon_intro zenon_H8e ]. % 11.22/11.43 apply (zenon_L123_); trivial. % 11.22/11.43 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H78 | zenon_intro zenon_H8f ]. % 11.22/11.43 exact (zenon_H79 zenon_H78). % 11.22/11.43 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H8b ]. % 11.22/11.43 apply (zenon_L119_); trivial. % 11.22/11.43 apply (zenon_L120_); trivial. % 11.22/11.43 (* end of lemma zenon_L124_ *) % 11.22/11.43 assert (zenon_L125_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e3))) -> ((op (e1) (e0)) = (e1)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e3))) -> False). % 11.22/11.43 do 0 intro. intros zenon_H44 zenon_H38 zenon_H34 zenon_H1e zenon_H141 zenon_Hed zenon_H13f zenon_H79 zenon_H6d zenon_H8d zenon_H47 zenon_H3c. % 11.22/11.43 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.22/11.43 exact (zenon_H38 zenon_H33). % 11.22/11.43 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.22/11.43 apply (zenon_L8_); trivial. % 11.22/11.43 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.22/11.43 apply (zenon_L124_); trivial. % 11.22/11.43 apply (zenon_L14_); trivial. % 11.22/11.43 (* end of lemma zenon_L125_ *) % 11.22/11.43 assert (zenon_L126_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e3))) -> ((op (e1) (e0)) = (e1)) -> (~((e1) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False). % 11.22/11.43 do 0 intro. intros zenon_H44 zenon_H38 zenon_H34 zenon_H1e zenon_H141 zenon_H13f zenon_H79 zenon_H6d zenon_H3c zenon_H8d zenon_Hed zenon_H13a. % 11.22/11.43 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.22/11.43 exact (zenon_H38 zenon_H33). % 11.22/11.43 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.22/11.43 apply (zenon_L8_); trivial. % 11.22/11.43 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.22/11.43 apply (zenon_L124_); trivial. % 11.22/11.43 apply (zenon_L113_); trivial. % 11.22/11.43 (* end of lemma zenon_L126_ *) % 11.22/11.43 assert (zenon_L127_ : (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e1)) -> ((op (e1) (e3)) = (e1)) -> False). % 11.22/11.43 do 0 intro. intros zenon_H61 zenon_H47 zenon_H90. % 11.22/11.43 cut (((op (e0) (e3)) = (e1)) = ((op (e0) (e3)) = (op (e1) (e3)))). % 11.22/11.43 intro zenon_D_pnotp. % 11.22/11.43 apply zenon_H61. % 11.22/11.43 rewrite <- zenon_D_pnotp. % 11.22/11.43 exact zenon_H47. % 11.22/11.43 cut (((e1) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H144]. % 11.22/11.43 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H64]. % 11.22/11.43 congruence. % 11.22/11.43 apply zenon_H64. apply refl_equal. % 11.22/11.43 apply zenon_H144. apply sym_equal. exact zenon_H90. % 11.22/11.43 (* end of lemma zenon_L127_ *) % 11.22/11.43 assert (zenon_L128_ : (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (e1))) -> ((op (e1) (e2)) = (e0)) -> (~((e0) = (e1))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e1)) -> False). % 11.22/11.43 do 0 intro. intros zenon_H92 zenon_H13a zenon_Hed zenon_H8d zenon_H3c zenon_H79 zenon_H13f zenon_H141 zenon_H1e zenon_H34 zenon_H38 zenon_H44 zenon_H54 zenon_He0 zenon_H20 zenon_H61 zenon_H47. % 11.22/11.43 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H6d | zenon_intro zenon_H93 ]. % 11.22/11.43 apply (zenon_L126_); trivial. % 11.22/11.43 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H56 | zenon_intro zenon_H94 ]. % 11.22/11.43 exact (zenon_H54 zenon_H56). % 11.22/11.43 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H88 | zenon_intro zenon_H90 ]. % 11.22/11.43 apply (zenon_L92_); trivial. % 11.22/11.43 apply (zenon_L127_); trivial. % 11.22/11.43 (* end of lemma zenon_L128_ *) % 11.22/11.43 assert (zenon_L129_ : ((op (e0) (e0)) = (e0)) -> ((op (e0) (e0)) = (e1)) -> (~((e0) = (e1))) -> False). % 11.22/11.43 do 0 intro. intros zenon_H25 zenon_H4f zenon_H20. % 11.22/11.43 elim (classic ((e1) = (e1))); [ zenon_intro zenon_H21 | zenon_intro zenon_H22 ]. % 11.22/11.43 cut (((e1) = (e1)) = ((e0) = (e1))). % 11.22/11.43 intro zenon_D_pnotp. % 11.22/11.43 apply zenon_H20. % 11.22/11.43 rewrite <- zenon_D_pnotp. % 11.22/11.43 exact zenon_H21. % 11.22/11.43 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H22]. % 11.22/11.43 cut (((e1) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H23]. % 11.22/11.43 congruence. % 11.22/11.43 cut (((op (e0) (e0)) = (e0)) = ((e1) = (e0))). % 11.22/11.43 intro zenon_D_pnotp. % 11.22/11.43 apply zenon_H23. % 11.22/11.43 rewrite <- zenon_D_pnotp. % 11.22/11.43 exact zenon_H25. % 11.22/11.43 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d]. % 11.22/11.43 cut (((op (e0) (e0)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H4d]. % 11.22/11.43 congruence. % 11.22/11.43 exact (zenon_H4d zenon_H4f). % 11.22/11.43 apply zenon_H1d. apply refl_equal. % 11.22/11.43 apply zenon_H22. apply refl_equal. % 11.22/11.43 apply zenon_H22. apply refl_equal. % 11.22/11.43 (* end of lemma zenon_L129_ *) % 11.22/11.43 assert (zenon_L130_ : ((op (e0) (e1)) = (e1)) -> ((op (e0) (e1)) = (e3)) -> (~((e1) = (e3))) -> False). % 11.22/11.43 do 0 intro. intros zenon_H1f zenon_H39 zenon_H3c. % 11.22/11.43 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H35 | zenon_intro zenon_H36 ]. % 11.22/11.43 cut (((e3) = (e3)) = ((e1) = (e3))). % 11.22/11.43 intro zenon_D_pnotp. % 11.22/11.43 apply zenon_H3c. % 11.22/11.43 rewrite <- zenon_D_pnotp. % 11.22/11.43 exact zenon_H35. % 11.22/11.43 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H36]. % 11.22/11.43 cut (((e3) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H3d]. % 11.22/11.43 congruence. % 11.22/11.43 cut (((op (e0) (e1)) = (e1)) = ((e3) = (e1))). % 11.22/11.43 intro zenon_D_pnotp. % 11.22/11.43 apply zenon_H3d. % 11.22/11.43 rewrite <- zenon_D_pnotp. % 11.22/11.43 exact zenon_H1f. % 11.22/11.43 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H22]. % 11.22/11.43 cut (((op (e0) (e1)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H3a]. % 11.22/11.43 congruence. % 11.22/11.43 exact (zenon_H3a zenon_H39). % 11.22/11.43 apply zenon_H22. apply refl_equal. % 11.22/11.43 apply zenon_H36. apply refl_equal. % 11.22/11.43 apply zenon_H36. apply refl_equal. % 11.22/11.43 (* end of lemma zenon_L130_ *) % 11.22/11.43 assert (zenon_L131_ : ((op (e2) (e1)) = (e2)) -> ((op (e2) (e1)) = (e3)) -> (~((e2) = (e3))) -> False). % 11.22/11.43 do 0 intro. intros zenon_Hc7 zenon_H145 zenon_H41. % 11.22/11.43 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H35 | zenon_intro zenon_H36 ]. % 11.22/11.43 cut (((e3) = (e3)) = ((e2) = (e3))). % 11.22/11.43 intro zenon_D_pnotp. % 11.22/11.43 apply zenon_H41. % 11.22/11.43 rewrite <- zenon_D_pnotp. % 11.22/11.43 exact zenon_H35. % 11.22/11.43 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H36]. % 11.22/11.43 cut (((e3) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H42]. % 11.22/11.43 congruence. % 11.22/11.43 cut (((op (e2) (e1)) = (e2)) = ((e3) = (e2))). % 11.22/11.43 intro zenon_D_pnotp. % 11.22/11.43 apply zenon_H42. % 11.22/11.43 rewrite <- zenon_D_pnotp. % 11.22/11.43 exact zenon_Hc7. % 11.22/11.43 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H29]. % 11.22/11.43 cut (((op (e2) (e1)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H146]. % 11.22/11.43 congruence. % 11.22/11.43 exact (zenon_H146 zenon_H145). % 11.22/11.43 apply zenon_H29. apply refl_equal. % 11.22/11.43 apply zenon_H36. apply refl_equal. % 11.22/11.43 apply zenon_H36. apply refl_equal. % 11.22/11.43 (* end of lemma zenon_L131_ *) % 11.22/11.43 assert (zenon_L132_ : (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e3)) -> ((op (e3) (e3)) = (e3)) -> False). % 11.22/11.43 do 0 intro. intros zenon_He5 zenon_H147 zenon_Hed. % 11.22/11.43 cut (((op (e3) (e1)) = (e3)) = ((op (e3) (e1)) = (op (e3) (e3)))). % 11.22/11.43 intro zenon_D_pnotp. % 11.22/11.43 apply zenon_He5. % 11.22/11.43 rewrite <- zenon_D_pnotp. % 11.22/11.43 exact zenon_H147. % 11.22/11.43 cut (((e3) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hee]. % 11.22/11.43 cut (((op (e3) (e1)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_He9]. % 11.22/11.43 congruence. % 11.22/11.43 apply zenon_He9. apply refl_equal. % 11.22/11.43 apply zenon_Hee. apply sym_equal. exact zenon_Hed. % 11.22/11.43 (* end of lemma zenon_L132_ *) % 11.22/11.43 assert (zenon_L133_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e1) (e1)) = (e3))) -> (~((e2) = (e3))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> False). % 11.22/11.43 do 0 intro. intros zenon_H148 zenon_H3c zenon_H1f zenon_H79 zenon_H41 zenon_Hc7 zenon_He5 zenon_Hed. % 11.22/11.43 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H39 | zenon_intro zenon_H149 ]. % 11.22/11.43 apply (zenon_L130_); trivial. % 11.22/11.43 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H78 | zenon_intro zenon_H14a ]. % 11.22/11.43 exact (zenon_H79 zenon_H78). % 11.22/11.43 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H145 | zenon_intro zenon_H147 ]. % 11.22/11.43 apply (zenon_L131_); trivial. % 11.22/11.43 apply (zenon_L132_); trivial. % 11.22/11.43 (* end of lemma zenon_L133_ *) % 11.22/11.43 assert (zenon_L134_ : ((op (e2) (e1)) = (e2)) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> False). % 11.22/11.43 do 0 intro. intros zenon_Hc7 zenon_H2c zenon_Hcb. % 11.22/11.43 elim (classic ((op (e2) (e1)) = (op (e2) (e1)))); [ zenon_intro zenon_H14b | zenon_intro zenon_H14c ]. % 11.22/11.43 cut (((op (e2) (e1)) = (op (e2) (e1))) = ((op (e0) (e1)) = (op (e2) (e1)))). % 11.22/11.43 intro zenon_D_pnotp. % 11.22/11.43 apply zenon_Hcb. % 11.22/11.43 rewrite <- zenon_D_pnotp. % 11.22/11.43 exact zenon_H14b. % 11.22/11.43 cut (((op (e2) (e1)) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H14c]. % 11.22/11.43 cut (((op (e2) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H14d]. % 11.22/11.43 congruence. % 11.22/11.43 cut (((op (e2) (e1)) = (e2)) = ((op (e2) (e1)) = (op (e0) (e1)))). % 11.22/11.43 intro zenon_D_pnotp. % 11.22/11.43 apply zenon_H14d. % 11.22/11.43 rewrite <- zenon_D_pnotp. % 11.22/11.43 exact zenon_Hc7. % 11.22/11.43 cut (((e2) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H14e]. % 11.22/11.43 cut (((op (e2) (e1)) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H14c]. % 11.22/11.43 congruence. % 11.22/11.43 apply zenon_H14c. apply refl_equal. % 11.22/11.43 apply zenon_H14e. apply sym_equal. exact zenon_H2c. % 11.22/11.43 apply zenon_H14c. apply refl_equal. % 11.22/11.43 apply zenon_H14c. apply refl_equal. % 11.22/11.43 (* end of lemma zenon_L134_ *) % 11.22/11.43 assert (zenon_L135_ : ((op (e1) (e3)) = (e0)) -> ((op (e1) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> False). % 11.22/11.43 do 0 intro. intros zenon_H7a zenon_H10c zenon_H14f. % 11.22/11.43 elim (classic ((op (e1) (e3)) = (op (e1) (e3)))); [ zenon_intro zenon_H150 | zenon_intro zenon_H11a ]. % 11.22/11.43 cut (((op (e1) (e3)) = (op (e1) (e3))) = ((op (e1) (e1)) = (op (e1) (e3)))). % 11.22/11.43 intro zenon_D_pnotp. % 11.22/11.43 apply zenon_H14f. % 11.22/11.43 rewrite <- zenon_D_pnotp. % 11.22/11.43 exact zenon_H150. % 11.22/11.43 cut (((op (e1) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H11a]. % 11.22/11.43 cut (((op (e1) (e3)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H151]. % 11.22/11.43 congruence. % 11.22/11.43 cut (((op (e1) (e3)) = (e0)) = ((op (e1) (e3)) = (op (e1) (e1)))). % 11.22/11.43 intro zenon_D_pnotp. % 11.22/11.43 apply zenon_H151. % 11.22/11.43 rewrite <- zenon_D_pnotp. % 11.22/11.43 exact zenon_H7a. % 11.22/11.43 cut (((e0) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H10d]. % 11.22/11.43 cut (((op (e1) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H11a]. % 11.22/11.43 congruence. % 11.22/11.43 apply zenon_H11a. apply refl_equal. % 11.22/11.43 apply zenon_H10d. apply sym_equal. exact zenon_H10c. % 11.22/11.43 apply zenon_H11a. apply refl_equal. % 11.22/11.43 apply zenon_H11a. apply refl_equal. % 11.22/11.43 (* end of lemma zenon_L135_ *) % 11.22/11.43 assert (zenon_L136_ : ((op (e2) (e0)) = (e1)) -> ((op (e2) (e0)) = (e3)) -> (~((e1) = (e3))) -> False). % 11.22/11.43 do 0 intro. intros zenon_H6f zenon_H152 zenon_H3c. % 11.22/11.43 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H35 | zenon_intro zenon_H36 ]. % 11.22/11.43 cut (((e3) = (e3)) = ((e1) = (e3))). % 11.22/11.43 intro zenon_D_pnotp. % 11.22/11.43 apply zenon_H3c. % 11.22/11.43 rewrite <- zenon_D_pnotp. % 11.22/11.43 exact zenon_H35. % 11.22/11.43 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H36]. % 11.22/11.43 cut (((e3) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H3d]. % 11.22/11.43 congruence. % 11.22/11.43 cut (((op (e2) (e0)) = (e1)) = ((e3) = (e1))). % 11.22/11.43 intro zenon_D_pnotp. % 11.22/11.43 apply zenon_H3d. % 11.22/11.43 rewrite <- zenon_D_pnotp. % 11.22/11.43 exact zenon_H6f. % 11.22/11.43 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H22]. % 11.22/11.43 cut (((op (e2) (e0)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H153]. % 11.22/11.43 congruence. % 11.22/11.43 exact (zenon_H153 zenon_H152). % 11.22/11.43 apply zenon_H22. apply refl_equal. % 11.22/11.43 apply zenon_H36. apply refl_equal. % 11.22/11.43 apply zenon_H36. apply refl_equal. % 11.22/11.43 (* end of lemma zenon_L136_ *) % 11.22/11.43 assert (zenon_L137_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e3)) -> ((op (e2) (e1)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> False). % 11.22/11.43 do 0 intro. intros zenon_H11b zenon_H3c zenon_H152 zenon_Hc7 zenon_H30 zenon_H11c zenon_H117 zenon_H90. % 11.22/11.43 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H6f | zenon_intro zenon_H11d ]. % 11.22/11.43 apply (zenon_L136_); trivial. % 11.22/11.43 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H11e ]. % 11.22/11.43 apply (zenon_L95_); trivial. % 11.22/11.43 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H11f | zenon_intro zenon_H118 ]. % 11.22/11.43 exact (zenon_H11c zenon_H11f). % 11.22/11.43 apply (zenon_L96_); trivial. % 11.22/11.43 (* end of lemma zenon_L137_ *) % 11.22/11.43 assert (zenon_L138_ : (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e1))) -> (~((e1) = (e2))) -> ((op (e2) (e1)) = (e2)) -> ((op (e2) (e0)) = (e3)) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False). % 11.22/11.43 do 0 intro. intros zenon_H154 zenon_H14f zenon_H10c zenon_H117 zenon_H11c zenon_H30 zenon_Hc7 zenon_H152 zenon_H3c zenon_H11b zenon_H3f zenon_H61 zenon_Hed zenon_H141. % 11.22/11.43 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H7a | zenon_intro zenon_H155 ]. % 11.22/11.43 apply (zenon_L135_); trivial. % 11.22/11.43 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H90 | zenon_intro zenon_H156 ]. % 11.22/11.43 apply (zenon_L137_); trivial. % 11.22/11.43 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H62 | zenon_intro zenon_H8b ]. % 11.22/11.43 apply (zenon_L22_); trivial. % 11.22/11.43 apply (zenon_L120_); trivial. % 11.22/11.43 (* end of lemma zenon_L138_ *) % 11.22/11.43 assert (zenon_L139_ : ((op (e2) (e1)) = (e2)) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> False). % 11.22/11.43 do 0 intro. intros zenon_Hc7 zenon_H6c zenon_H157. % 11.22/11.43 elim (classic ((op (e2) (e1)) = (op (e2) (e1)))); [ zenon_intro zenon_H14b | zenon_intro zenon_H14c ]. % 11.22/11.43 cut (((op (e2) (e1)) = (op (e2) (e1))) = ((op (e1) (e1)) = (op (e2) (e1)))). % 11.22/11.43 intro zenon_D_pnotp. % 11.22/11.43 apply zenon_H157. % 11.22/11.43 rewrite <- zenon_D_pnotp. % 11.22/11.43 exact zenon_H14b. % 11.22/11.43 cut (((op (e2) (e1)) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H14c]. % 11.22/11.43 cut (((op (e2) (e1)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H158]. % 11.22/11.43 congruence. % 11.22/11.43 cut (((op (e2) (e1)) = (e2)) = ((op (e2) (e1)) = (op (e1) (e1)))). % 11.22/11.43 intro zenon_D_pnotp. % 11.22/11.43 apply zenon_H158. % 11.22/11.43 rewrite <- zenon_D_pnotp. % 11.22/11.43 exact zenon_Hc7. % 11.22/11.43 cut (((e2) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H159]. % 11.22/11.43 cut (((op (e2) (e1)) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H14c]. % 11.22/11.43 congruence. % 11.22/11.43 apply zenon_H14c. apply refl_equal. % 11.22/11.43 apply zenon_H159. apply sym_equal. exact zenon_H6c. % 11.22/11.44 apply zenon_H14c. apply refl_equal. % 11.22/11.44 apply zenon_H14c. apply refl_equal. % 11.22/11.44 (* end of lemma zenon_L139_ *) % 11.22/11.44 assert (zenon_L140_ : (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e3)) -> (~((e1) = (e2))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e1) (e1)) = (e3))) -> False). % 11.22/11.44 do 0 intro. intros zenon_H15a zenon_H141 zenon_Hed zenon_H61 zenon_H3f zenon_H11b zenon_H3c zenon_H152 zenon_H30 zenon_H11c zenon_H117 zenon_H14f zenon_H154 zenon_H54 zenon_H157 zenon_Hc7 zenon_H79. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H10c | zenon_intro zenon_H15b ]. % 11.22/11.44 apply (zenon_L138_); trivial. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H56 | zenon_intro zenon_H15c ]. % 11.22/11.44 exact (zenon_H54 zenon_H56). % 11.22/11.44 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_H6c | zenon_intro zenon_H78 ]. % 11.22/11.44 apply (zenon_L139_); trivial. % 11.22/11.44 exact (zenon_H79 zenon_H78). % 11.22/11.44 (* end of lemma zenon_L140_ *) % 11.22/11.44 assert (zenon_L141_ : (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e3)) -> ((op (e3) (e3)) = (e3)) -> False). % 11.22/11.44 do 0 intro. intros zenon_H15d zenon_H15e zenon_Hed. % 11.22/11.44 cut (((op (e3) (e0)) = (e3)) = ((op (e3) (e0)) = (op (e3) (e3)))). % 11.22/11.44 intro zenon_D_pnotp. % 11.22/11.44 apply zenon_H15d. % 11.22/11.44 rewrite <- zenon_D_pnotp. % 11.22/11.44 exact zenon_H15e. % 11.22/11.44 cut (((e3) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hee]. % 11.22/11.44 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hf9]. % 11.22/11.44 congruence. % 11.22/11.44 apply zenon_Hf9. apply refl_equal. % 11.22/11.44 apply zenon_Hee. apply sym_equal. exact zenon_Hed. % 11.22/11.44 (* end of lemma zenon_L141_ *) % 11.22/11.44 assert (zenon_L142_ : (((op (e3) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e3)) -> False). % 11.22/11.44 do 0 intro. intros zenon_H15f zenon_H15d zenon_H15e. % 11.22/11.44 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_Hed. zenon_intro zenon_H160. % 11.22/11.44 apply (zenon_L141_); trivial. % 11.22/11.44 (* end of lemma zenon_L142_ *) % 11.22/11.44 assert (zenon_L143_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e1)) = (e3))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (e1))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e1))) -> (~((e1) = (e2))) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e3) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> False). % 11.22/11.44 do 0 intro. intros zenon_H161 zenon_H38 zenon_H6d zenon_H79 zenon_Hc7 zenon_H157 zenon_H54 zenon_H154 zenon_H14f zenon_H117 zenon_H11c zenon_H30 zenon_H3c zenon_H11b zenon_H3f zenon_H61 zenon_Hed zenon_H141 zenon_H15a zenon_H15f zenon_H15d. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ]. % 11.22/11.44 exact (zenon_H38 zenon_H33). % 11.22/11.44 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ]. % 11.22/11.44 apply (zenon_L123_); trivial. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ]. % 11.22/11.44 apply (zenon_L140_); trivial. % 11.22/11.44 apply (zenon_L142_); trivial. % 11.22/11.44 (* end of lemma zenon_L143_ *) % 11.22/11.44 assert (zenon_L144_ : ((op (e3) (e3)) = (e3)) -> ((op (e2) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False). % 11.22/11.44 do 0 intro. intros zenon_Hed zenon_H164 zenon_He3. % 11.22/11.44 elim (classic ((op (e3) (e3)) = (op (e3) (e3)))); [ zenon_intro zenon_H13b | zenon_intro zenon_H13c ]. % 11.22/11.44 cut (((op (e3) (e3)) = (op (e3) (e3))) = ((op (e2) (e3)) = (op (e3) (e3)))). % 11.22/11.44 intro zenon_D_pnotp. % 11.22/11.44 apply zenon_He3. % 11.22/11.44 rewrite <- zenon_D_pnotp. % 11.22/11.44 exact zenon_H13b. % 11.22/11.44 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H13c]. % 11.22/11.44 cut (((op (e3) (e3)) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H165]. % 11.22/11.44 congruence. % 11.22/11.44 cut (((op (e3) (e3)) = (e3)) = ((op (e3) (e3)) = (op (e2) (e3)))). % 11.22/11.44 intro zenon_D_pnotp. % 11.22/11.44 apply zenon_H165. % 11.22/11.44 rewrite <- zenon_D_pnotp. % 11.22/11.44 exact zenon_Hed. % 11.22/11.44 cut (((e3) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H166]. % 11.22/11.44 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H13c]. % 11.22/11.44 congruence. % 11.22/11.44 apply zenon_H13c. apply refl_equal. % 11.22/11.44 apply zenon_H166. apply sym_equal. exact zenon_H164. % 11.22/11.44 apply zenon_H13c. apply refl_equal. % 11.22/11.44 apply zenon_H13c. apply refl_equal. % 11.22/11.44 (* end of lemma zenon_L144_ *) % 11.22/11.44 assert (zenon_L145_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e1)) -> (~((e2) = (e3))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e2)) = (e3))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False). % 11.22/11.44 do 0 intro. intros zenon_H167 zenon_H3c zenon_H6f zenon_H41 zenon_Hc7 zenon_He2 zenon_Hed zenon_He3. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H152 | zenon_intro zenon_H168 ]. % 11.22/11.44 apply (zenon_L136_); trivial. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H145 | zenon_intro zenon_H169 ]. % 11.22/11.44 apply (zenon_L131_); trivial. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_He1 | zenon_intro zenon_H164 ]. % 11.22/11.44 exact (zenon_He2 zenon_He1). % 11.22/11.44 apply (zenon_L144_); trivial. % 11.22/11.44 (* end of lemma zenon_L145_ *) % 11.22/11.44 assert (zenon_L146_ : (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e1)) -> ((op (e3) (e1)) = (e1)) -> False). % 11.22/11.44 do 0 intro. intros zenon_H16a zenon_H99 zenon_He6. % 11.22/11.44 cut (((op (e3) (e0)) = (e1)) = ((op (e3) (e0)) = (op (e3) (e1)))). % 11.22/11.44 intro zenon_D_pnotp. % 11.22/11.44 apply zenon_H16a. % 11.22/11.44 rewrite <- zenon_D_pnotp. % 11.22/11.44 exact zenon_H99. % 11.22/11.44 cut (((e1) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H16b]. % 11.22/11.44 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hf9]. % 11.22/11.44 congruence. % 11.22/11.44 apply zenon_Hf9. apply refl_equal. % 11.22/11.44 apply zenon_H16b. apply sym_equal. exact zenon_He6. % 11.22/11.44 (* end of lemma zenon_L146_ *) % 11.22/11.44 assert (zenon_L147_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e3)) -> (~((op (e1) (e1)) = (e1))) -> ((op (e2) (e1)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e1)) -> False). % 11.22/11.44 do 0 intro. intros zenon_H105 zenon_H3c zenon_H39 zenon_H54 zenon_Hc7 zenon_H30 zenon_H16a zenon_H99. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H1f | zenon_intro zenon_H107 ]. % 11.22/11.44 apply (zenon_L130_); trivial. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H56 | zenon_intro zenon_H108 ]. % 11.22/11.44 exact (zenon_H54 zenon_H56). % 11.22/11.44 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hc5 | zenon_intro zenon_He6 ]. % 11.22/11.44 apply (zenon_L95_); trivial. % 11.22/11.44 apply (zenon_L146_); trivial. % 11.22/11.44 (* end of lemma zenon_L147_ *) % 11.22/11.44 assert (zenon_L148_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e0)) = (e0)) -> ((op (e3) (e0)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((e1) = (e2))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e1) (e1)) = (e1))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e1)) -> (~((e2) = (e3))) -> False). % 11.22/11.44 do 0 intro. intros zenon_H49 zenon_H27 zenon_Hcb zenon_H44 zenon_H34 zenon_H25 zenon_H99 zenon_H16a zenon_H30 zenon_Hc7 zenon_H54 zenon_H105 zenon_H3c zenon_H2e zenon_H41. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.22/11.44 apply (zenon_L3_); trivial. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.22/11.44 apply (zenon_L134_); trivial. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.22/11.44 apply (zenon_L6_); trivial. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.22/11.44 apply (zenon_L7_); trivial. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.22/11.44 apply (zenon_L147_); trivial. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.22/11.44 apply (zenon_L9_); trivial. % 11.22/11.44 apply (zenon_L11_); trivial. % 11.22/11.44 (* end of lemma zenon_L148_ *) % 11.22/11.44 assert (zenon_L149_ : (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e1) (e0)) = (e1)) -> ((op (e2) (e0)) = (e1)) -> False). % 11.22/11.44 do 0 intro. intros zenon_H16c zenon_H6d zenon_H6f. % 11.22/11.44 cut (((op (e1) (e0)) = (e1)) = ((op (e1) (e0)) = (op (e2) (e0)))). % 11.22/11.44 intro zenon_D_pnotp. % 11.22/11.44 apply zenon_H16c. % 11.22/11.44 rewrite <- zenon_D_pnotp. % 11.22/11.44 exact zenon_H6d. % 11.22/11.44 cut (((e1) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H16d]. % 11.22/11.44 cut (((op (e1) (e0)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H110]. % 11.22/11.44 congruence. % 11.22/11.44 apply zenon_H110. apply refl_equal. % 11.22/11.44 apply zenon_H16d. apply sym_equal. exact zenon_H6f. % 11.22/11.44 (* end of lemma zenon_L149_ *) % 11.22/11.44 assert (zenon_L150_ : (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e1)) -> ((op (e2) (e3)) = (e1)) -> False). % 11.22/11.44 do 0 intro. intros zenon_H16e zenon_H47 zenon_H118. % 11.22/11.44 cut (((op (e0) (e3)) = (e1)) = ((op (e0) (e3)) = (op (e2) (e3)))). % 11.22/11.44 intro zenon_D_pnotp. % 11.22/11.44 apply zenon_H16e. % 11.22/11.44 rewrite <- zenon_D_pnotp. % 11.22/11.44 exact zenon_H47. % 11.22/11.44 cut (((e1) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H119]. % 11.22/11.44 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H64]. % 11.22/11.44 congruence. % 11.22/11.44 apply zenon_H64. apply refl_equal. % 11.22/11.44 apply zenon_H119. apply sym_equal. exact zenon_H118. % 11.22/11.44 (* end of lemma zenon_L150_ *) % 11.22/11.44 assert (zenon_L151_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e2) (e1)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e1)) -> False). % 11.22/11.44 do 0 intro. intros zenon_H11b zenon_H6d zenon_H16c zenon_Hc7 zenon_H30 zenon_H11c zenon_H16e zenon_H47. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H6f | zenon_intro zenon_H11d ]. % 11.22/11.44 apply (zenon_L149_); trivial. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H11e ]. % 11.22/11.44 apply (zenon_L95_); trivial. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H11f | zenon_intro zenon_H118 ]. % 11.22/11.44 exact (zenon_H11c zenon_H11f). % 11.22/11.44 apply (zenon_L150_); trivial. % 11.22/11.44 (* end of lemma zenon_L151_ *) % 11.22/11.44 assert (zenon_L152_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((e2) = (e3))) -> (~((op (e1) (e1)) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e1))) -> ((op (e2) (e1)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e1)) -> False). % 11.22/11.44 do 0 intro. intros zenon_H105 zenon_Hed zenon_He5 zenon_H41 zenon_H79 zenon_H3c zenon_H148 zenon_H54 zenon_Hc7 zenon_H30 zenon_H16a zenon_H99. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H1f | zenon_intro zenon_H107 ]. % 11.22/11.44 apply (zenon_L133_); trivial. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H56 | zenon_intro zenon_H108 ]. % 11.22/11.44 exact (zenon_H54 zenon_H56). % 11.22/11.44 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hc5 | zenon_intro zenon_He6 ]. % 11.22/11.44 apply (zenon_L95_); trivial. % 11.22/11.44 apply (zenon_L146_); trivial. % 11.22/11.44 (* end of lemma zenon_L152_ *) % 11.22/11.44 assert (zenon_L153_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e3) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((e2) = (e3))) -> (~((op (e1) (e1)) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e1))) -> ((op (e2) (e1)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> False). % 11.22/11.44 do 0 intro. intros zenon_H4c zenon_H34 zenon_H44 zenon_Hcb zenon_H27 zenon_H49 zenon_H161 zenon_H38 zenon_H157 zenon_H154 zenon_H14f zenon_H117 zenon_H61 zenon_H141 zenon_H15a zenon_H15f zenon_H15d zenon_Hb7 zenon_H20 zenon_H25 zenon_H16e zenon_H11c zenon_H16c zenon_H11b zenon_He3 zenon_He2 zenon_H167 zenon_H105 zenon_Hed zenon_He5 zenon_H41 zenon_H79 zenon_H3c zenon_H148 zenon_H54 zenon_Hc7 zenon_H30 zenon_H16a. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.22/11.44 apply (zenon_L129_); trivial. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.22/11.44 apply (zenon_L133_); trivial. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.22/11.44 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ]. % 11.22/11.44 apply (zenon_L129_); trivial. % 11.22/11.44 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ]. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.22/11.44 apply (zenon_L3_); trivial. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.22/11.44 apply (zenon_L134_); trivial. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.22/11.44 apply (zenon_L6_); trivial. % 11.22/11.44 apply (zenon_L143_); trivial. % 11.22/11.44 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ]. % 11.22/11.44 apply (zenon_L145_); trivial. % 11.22/11.44 apply (zenon_L148_); trivial. % 11.22/11.44 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ]. % 11.22/11.44 apply (zenon_L129_); trivial. % 11.22/11.44 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ]. % 11.22/11.44 apply (zenon_L151_); trivial. % 11.22/11.44 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ]. % 11.22/11.44 apply (zenon_L145_); trivial. % 11.22/11.44 apply (zenon_L152_); trivial. % 11.22/11.44 (* end of lemma zenon_L153_ *) % 11.22/11.44 assert (zenon_L154_ : (~((op (e0) (op (e0) (e0))) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e2)) -> False). % 11.22/11.44 do 0 intro. intros zenon_H16f zenon_H26. % 11.22/11.44 cut (((op (e0) (e0)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H2b]. % 11.22/11.44 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d]. % 11.22/11.44 congruence. % 11.22/11.44 apply zenon_H1d. apply refl_equal. % 11.22/11.44 exact (zenon_H2b zenon_H26). % 11.22/11.44 (* end of lemma zenon_L154_ *) % 11.22/11.44 assert (zenon_L155_ : ((op (e0) (e2)) = (e1)) -> ((op (e0) (e0)) = (e2)) -> (~((e1) = (op (e0) (op (e0) (e0))))) -> False). % 11.22/11.44 do 0 intro. intros zenon_H2e zenon_H26 zenon_Hd3. % 11.22/11.44 elim (classic ((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [ zenon_intro zenon_Hd4 | zenon_intro zenon_Hd5 ]. % 11.22/11.44 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0)))) = ((e1) = (op (e0) (op (e0) (e0))))). % 11.22/11.44 intro zenon_D_pnotp. % 11.22/11.44 apply zenon_Hd3. % 11.22/11.44 rewrite <- zenon_D_pnotp. % 11.22/11.44 exact zenon_Hd4. % 11.22/11.44 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_Hd5]. % 11.22/11.44 cut (((op (e0) (op (e0) (e0))) = (e1))); [idtac | apply NNPP; zenon_intro zenon_Hd6]. % 11.22/11.44 congruence. % 11.22/11.44 cut (((op (e0) (e2)) = (e1)) = ((op (e0) (op (e0) (e0))) = (e1))). % 11.22/11.44 intro zenon_D_pnotp. % 11.22/11.44 apply zenon_Hd6. % 11.22/11.44 rewrite <- zenon_D_pnotp. % 11.22/11.44 exact zenon_H2e. % 11.22/11.44 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H22]. % 11.22/11.44 cut (((op (e0) (e2)) = (op (e0) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H170]. % 11.22/11.44 congruence. % 11.22/11.44 elim (classic ((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [ zenon_intro zenon_Hd4 | zenon_intro zenon_Hd5 ]. % 11.22/11.44 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0)))) = ((op (e0) (e2)) = (op (e0) (op (e0) (e0))))). % 11.22/11.44 intro zenon_D_pnotp. % 11.22/11.44 apply zenon_H170. % 11.22/11.44 rewrite <- zenon_D_pnotp. % 11.22/11.44 exact zenon_Hd4. % 11.22/11.44 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_Hd5]. % 11.22/11.44 cut (((op (e0) (op (e0) (e0))) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H16f]. % 11.22/11.44 congruence. % 11.22/11.44 apply (zenon_L154_); trivial. % 11.22/11.44 apply zenon_Hd5. apply refl_equal. % 11.22/11.44 apply zenon_Hd5. apply refl_equal. % 11.22/11.44 apply zenon_H22. apply refl_equal. % 11.22/11.44 apply zenon_Hd5. apply refl_equal. % 11.22/11.44 apply zenon_Hd5. apply refl_equal. % 11.22/11.44 (* end of lemma zenon_L155_ *) % 11.22/11.44 assert (zenon_L156_ : ((op (e0) (e2)) = (e1)) -> ((op (e0) (e1)) = (e3)) -> ((op (e0) (e0)) = (e2)) -> False). % 11.22/11.44 do 0 intro. intros zenon_H2e zenon_H39 zenon_H26. % 11.22/11.44 apply (zenon_notand_s _ _ ax16); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H171 ]. % 11.22/11.44 apply (zenon_L155_); trivial. % 11.22/11.44 apply (zenon_notand_s _ _ zenon_H171); [ zenon_intro zenon_H173 | zenon_intro zenon_H172 ]. % 11.22/11.44 elim (classic ((op (e0) (op (e0) (op (e0) (e0)))) = (op (e0) (op (e0) (op (e0) (e0)))))); [ zenon_intro zenon_Hdb | zenon_intro zenon_Hdc ]. % 11.22/11.44 cut (((op (e0) (op (e0) (op (e0) (e0)))) = (op (e0) (op (e0) (op (e0) (e0))))) = ((e3) = (op (e0) (op (e0) (op (e0) (e0)))))). % 11.22/11.44 intro zenon_D_pnotp. % 11.22/11.44 apply zenon_H173. % 11.22/11.44 rewrite <- zenon_D_pnotp. % 11.22/11.44 exact zenon_Hdb. % 11.22/11.44 cut (((op (e0) (op (e0) (op (e0) (e0)))) = (op (e0) (op (e0) (op (e0) (e0)))))); [idtac | apply NNPP; zenon_intro zenon_Hdc]. % 11.22/11.44 cut (((op (e0) (op (e0) (op (e0) (e0)))) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H174]. % 11.22/11.44 congruence. % 11.22/11.44 cut (((op (e0) (e1)) = (e3)) = ((op (e0) (op (e0) (op (e0) (e0)))) = (e3))). % 11.22/11.44 intro zenon_D_pnotp. % 11.22/11.44 apply zenon_H174. % 11.22/11.44 rewrite <- zenon_D_pnotp. % 11.22/11.44 exact zenon_H39. % 11.22/11.44 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H36]. % 11.22/11.44 cut (((op (e0) (e1)) = (op (e0) (op (e0) (op (e0) (e0)))))); [idtac | apply NNPP; zenon_intro zenon_Hde]. % 11.22/11.44 congruence. % 11.22/11.44 elim (classic ((op (e0) (op (e0) (op (e0) (e0)))) = (op (e0) (op (e0) (op (e0) (e0)))))); [ zenon_intro zenon_Hdb | zenon_intro zenon_Hdc ]. % 11.22/11.44 cut (((op (e0) (op (e0) (op (e0) (e0)))) = (op (e0) (op (e0) (op (e0) (e0))))) = ((op (e0) (e1)) = (op (e0) (op (e0) (op (e0) (e0)))))). % 11.22/11.44 intro zenon_D_pnotp. % 11.22/11.44 apply zenon_Hde. % 11.22/11.44 rewrite <- zenon_D_pnotp. % 11.22/11.44 exact zenon_Hdb. % 11.22/11.44 cut (((op (e0) (op (e0) (op (e0) (e0)))) = (op (e0) (op (e0) (op (e0) (e0)))))); [idtac | apply NNPP; zenon_intro zenon_Hdc]. % 11.22/11.44 cut (((op (e0) (op (e0) (op (e0) (e0)))) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Hdf]. % 11.22/11.44 congruence. % 11.22/11.44 cut (((op (e0) (op (e0) (e0))) = (e1))); [idtac | apply NNPP; zenon_intro zenon_Hd6]. % 11.22/11.44 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d]. % 11.22/11.44 congruence. % 11.22/11.44 apply zenon_H1d. apply refl_equal. % 11.22/11.44 cut (((op (e0) (e2)) = (e1)) = ((op (e0) (op (e0) (e0))) = (e1))). % 11.22/11.44 intro zenon_D_pnotp. % 11.22/11.44 apply zenon_Hd6. % 11.22/11.44 rewrite <- zenon_D_pnotp. % 11.22/11.44 exact zenon_H2e. % 11.22/11.44 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H22]. % 11.22/11.44 cut (((op (e0) (e2)) = (op (e0) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H170]. % 11.22/11.44 congruence. % 11.22/11.44 elim (classic ((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [ zenon_intro zenon_Hd4 | zenon_intro zenon_Hd5 ]. % 11.22/11.44 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0)))) = ((op (e0) (e2)) = (op (e0) (op (e0) (e0))))). % 11.22/11.44 intro zenon_D_pnotp. % 11.22/11.44 apply zenon_H170. % 11.22/11.44 rewrite <- zenon_D_pnotp. % 11.22/11.44 exact zenon_Hd4. % 11.22/11.44 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_Hd5]. % 11.22/11.44 cut (((op (e0) (op (e0) (e0))) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H16f]. % 11.22/11.44 congruence. % 11.22/11.44 apply (zenon_L154_); trivial. % 11.22/11.44 apply zenon_Hd5. apply refl_equal. % 11.22/11.44 apply zenon_Hd5. apply refl_equal. % 11.22/11.44 apply zenon_H22. apply refl_equal. % 11.22/11.44 apply zenon_Hdc. apply refl_equal. % 11.22/11.44 apply zenon_Hdc. apply refl_equal. % 11.22/11.44 apply zenon_H36. apply refl_equal. % 11.22/11.44 apply zenon_Hdc. apply refl_equal. % 11.22/11.44 apply zenon_Hdc. apply refl_equal. % 11.22/11.44 apply zenon_H172. apply sym_equal. exact zenon_H26. % 11.22/11.44 (* end of lemma zenon_L156_ *) % 11.22/11.44 assert (zenon_L157_ : (~((e1) = (e3))) -> ((op (e3) (e1)) = (e3)) -> ((op (e3) (e1)) = (e1)) -> False). % 11.22/11.44 do 0 intro. intros zenon_H3c zenon_H147 zenon_He6. % 11.22/11.44 cut (((op (e3) (e1)) = (e3)) = ((e1) = (e3))). % 11.22/11.44 intro zenon_D_pnotp. % 11.22/11.44 apply zenon_H3c. % 11.22/11.44 rewrite <- zenon_D_pnotp. % 11.22/11.44 exact zenon_H147. % 11.22/11.44 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H36]. % 11.22/11.44 cut (((op (e3) (e1)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H175]. % 11.22/11.44 congruence. % 11.22/11.44 exact (zenon_H175 zenon_He6). % 11.22/11.44 apply zenon_H36. apply refl_equal. % 11.22/11.44 (* end of lemma zenon_L157_ *) % 11.22/11.44 assert (zenon_L158_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e0) (e0)) = (e2)) -> ((op (e0) (e2)) = (e1)) -> (~((op (e1) (e1)) = (e3))) -> (~((e2) = (e3))) -> ((op (e2) (e1)) = (e2)) -> (~((e1) = (e3))) -> ((op (e3) (e1)) = (e1)) -> False). % 11.22/11.44 do 0 intro. intros zenon_H148 zenon_H26 zenon_H2e zenon_H79 zenon_H41 zenon_Hc7 zenon_H3c zenon_He6. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H39 | zenon_intro zenon_H149 ]. % 11.22/11.44 apply (zenon_L156_); trivial. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H78 | zenon_intro zenon_H14a ]. % 11.22/11.44 exact (zenon_H79 zenon_H78). % 11.22/11.44 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H145 | zenon_intro zenon_H147 ]. % 11.22/11.44 apply (zenon_L131_); trivial. % 11.22/11.44 apply (zenon_L157_); trivial. % 11.22/11.44 (* end of lemma zenon_L158_ *) % 11.22/11.44 assert (zenon_L159_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (e1))) -> (~((e1) = (e2))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e0) (e0)) = (e2)) -> ((op (e0) (e2)) = (e1)) -> (~((op (e1) (e1)) = (e3))) -> (~((e2) = (e3))) -> ((op (e2) (e1)) = (e2)) -> (~((e1) = (e3))) -> False). % 11.22/11.44 do 0 intro. intros zenon_H105 zenon_Hed zenon_He5 zenon_H54 zenon_H30 zenon_H148 zenon_H26 zenon_H2e zenon_H79 zenon_H41 zenon_Hc7 zenon_H3c. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H1f | zenon_intro zenon_H107 ]. % 11.22/11.44 apply (zenon_L133_); trivial. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H56 | zenon_intro zenon_H108 ]. % 11.22/11.44 exact (zenon_H54 zenon_H56). % 11.22/11.44 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hc5 | zenon_intro zenon_He6 ]. % 11.22/11.44 apply (zenon_L95_); trivial. % 11.22/11.44 apply (zenon_L158_); trivial. % 11.22/11.44 (* end of lemma zenon_L159_ *) % 11.22/11.44 assert (zenon_L160_ : ((op (e0) (e0)) = (e1)) -> ((op (e0) (e0)) = (e2)) -> (~((e1) = (e2))) -> False). % 11.22/11.44 do 0 intro. intros zenon_H4f zenon_H26 zenon_H30. % 11.22/11.44 elim (classic ((e2) = (e2))); [ zenon_intro zenon_H28 | zenon_intro zenon_H29 ]. % 11.22/11.44 cut (((e2) = (e2)) = ((e1) = (e2))). % 11.22/11.44 intro zenon_D_pnotp. % 11.22/11.44 apply zenon_H30. % 11.22/11.44 rewrite <- zenon_D_pnotp. % 11.22/11.44 exact zenon_H28. % 11.22/11.44 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H29]. % 11.22/11.44 cut (((e2) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H31]. % 11.22/11.44 congruence. % 11.22/11.44 cut (((op (e0) (e0)) = (e1)) = ((e2) = (e1))). % 11.22/11.44 intro zenon_D_pnotp. % 11.22/11.44 apply zenon_H31. % 11.22/11.44 rewrite <- zenon_D_pnotp. % 11.22/11.44 exact zenon_H4f. % 11.22/11.44 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H22]. % 11.22/11.44 cut (((op (e0) (e0)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H2b]. % 11.22/11.44 congruence. % 11.22/11.44 exact (zenon_H2b zenon_H26). % 11.22/11.44 apply zenon_H22. apply refl_equal. % 11.22/11.44 apply zenon_H29. apply refl_equal. % 11.22/11.44 apply zenon_H29. apply refl_equal. % 11.22/11.44 (* end of lemma zenon_L160_ *) % 11.22/11.44 assert (zenon_L161_ : ((op (e2) (e0)) = (e0)) -> ((op (e2) (e0)) = (e3)) -> (~((e0) = (e3))) -> False). % 11.22/11.44 do 0 intro. intros zenon_H6e zenon_H152 zenon_H34. % 11.22/11.44 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H35 | zenon_intro zenon_H36 ]. % 11.22/11.44 cut (((e3) = (e3)) = ((e0) = (e3))). % 11.22/11.44 intro zenon_D_pnotp. % 11.22/11.44 apply zenon_H34. % 11.22/11.44 rewrite <- zenon_D_pnotp. % 11.22/11.44 exact zenon_H35. % 11.22/11.44 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H36]. % 11.22/11.44 cut (((e3) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H37]. % 11.22/11.44 congruence. % 11.22/11.44 cut (((op (e2) (e0)) = (e0)) = ((e3) = (e0))). % 11.22/11.44 intro zenon_D_pnotp. % 11.22/11.44 apply zenon_H37. % 11.22/11.44 rewrite <- zenon_D_pnotp. % 11.22/11.44 exact zenon_H6e. % 11.22/11.44 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d]. % 11.22/11.44 cut (((op (e2) (e0)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H153]. % 11.22/11.44 congruence. % 11.22/11.44 exact (zenon_H153 zenon_H152). % 11.22/11.44 apply zenon_H1d. apply refl_equal. % 11.22/11.44 apply zenon_H36. apply refl_equal. % 11.22/11.44 apply zenon_H36. apply refl_equal. % 11.22/11.44 (* end of lemma zenon_L161_ *) % 11.22/11.44 assert (zenon_L162_ : (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e3)) -> ((op (e2) (e1)) = (e3)) -> False). % 11.22/11.44 do 0 intro. intros zenon_Hcb zenon_H39 zenon_H145. % 11.22/11.44 cut (((op (e0) (e1)) = (e3)) = ((op (e0) (e1)) = (op (e2) (e1)))). % 11.22/11.44 intro zenon_D_pnotp. % 11.22/11.44 apply zenon_Hcb. % 11.22/11.44 rewrite <- zenon_D_pnotp. % 11.22/11.44 exact zenon_H39. % 11.22/11.44 cut (((e3) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H176]. % 11.22/11.44 cut (((op (e0) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H74]. % 11.22/11.44 congruence. % 11.22/11.44 apply zenon_H74. apply refl_equal. % 11.22/11.44 apply zenon_H176. apply sym_equal. exact zenon_H145. % 11.22/11.44 (* end of lemma zenon_L162_ *) % 11.22/11.44 assert (zenon_L163_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e2) (e0)) = (e0)) -> ((op (e0) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e3))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False). % 11.22/11.44 do 0 intro. intros zenon_H167 zenon_H34 zenon_H6e zenon_H39 zenon_Hcb zenon_He2 zenon_Hed zenon_He3. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H152 | zenon_intro zenon_H168 ]. % 11.22/11.44 apply (zenon_L161_); trivial. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H145 | zenon_intro zenon_H169 ]. % 11.22/11.44 apply (zenon_L162_); trivial. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_He1 | zenon_intro zenon_H164 ]. % 11.22/11.44 exact (zenon_He2 zenon_He1). % 11.22/11.44 apply (zenon_L144_); trivial. % 11.22/11.44 (* end of lemma zenon_L163_ *) % 11.22/11.44 assert (zenon_L164_ : (~((e0) = (e2))) -> ((op (e2) (e1)) = (e2)) -> ((op (e2) (e1)) = (e0)) -> False). % 11.22/11.44 do 0 intro. intros zenon_H27 zenon_Hc7 zenon_Hcc. % 11.22/11.44 cut (((op (e2) (e1)) = (e2)) = ((e0) = (e2))). % 11.22/11.44 intro zenon_D_pnotp. % 11.22/11.44 apply zenon_H27. % 11.22/11.44 rewrite <- zenon_D_pnotp. % 11.22/11.44 exact zenon_Hc7. % 11.22/11.44 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H29]. % 11.22/11.44 cut (((op (e2) (e1)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H177]. % 11.22/11.44 congruence. % 11.22/11.44 exact (zenon_H177 zenon_Hcc). % 11.22/11.44 apply zenon_H29. apply refl_equal. % 11.22/11.44 (* end of lemma zenon_L164_ *) % 11.22/11.44 assert (zenon_L165_ : (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e0)) -> ((op (e2) (e2)) = (e0)) -> False). % 11.22/11.44 do 0 intro. intros zenon_H65 zenon_Hd0 zenon_Hce. % 11.22/11.44 cut (((op (e0) (e2)) = (e0)) = ((op (e0) (e2)) = (op (e2) (e2)))). % 11.22/11.44 intro zenon_D_pnotp. % 11.22/11.44 apply zenon_H65. % 11.22/11.44 rewrite <- zenon_D_pnotp. % 11.22/11.44 exact zenon_Hd0. % 11.22/11.44 cut (((e0) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H178]. % 11.22/11.44 cut (((op (e0) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H140]. % 11.22/11.44 congruence. % 11.22/11.44 apply zenon_H140. apply refl_equal. % 11.22/11.44 apply zenon_H178. apply sym_equal. exact zenon_Hce. % 11.22/11.44 (* end of lemma zenon_L165_ *) % 11.22/11.44 assert (zenon_L166_ : ((op (e2) (e3)) = (e0)) -> ((op (e2) (e3)) = (e1)) -> (~((e0) = (e1))) -> False). % 11.22/11.44 do 0 intro. intros zenon_H96 zenon_H118 zenon_H20. % 11.22/11.44 elim (classic ((e1) = (e1))); [ zenon_intro zenon_H21 | zenon_intro zenon_H22 ]. % 11.22/11.44 cut (((e1) = (e1)) = ((e0) = (e1))). % 11.22/11.44 intro zenon_D_pnotp. % 11.22/11.44 apply zenon_H20. % 11.22/11.44 rewrite <- zenon_D_pnotp. % 11.22/11.44 exact zenon_H21. % 11.22/11.44 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H22]. % 11.22/11.44 cut (((e1) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H23]. % 11.22/11.44 congruence. % 11.22/11.44 cut (((op (e2) (e3)) = (e0)) = ((e1) = (e0))). % 11.22/11.44 intro zenon_D_pnotp. % 11.22/11.44 apply zenon_H23. % 11.22/11.44 rewrite <- zenon_D_pnotp. % 11.22/11.44 exact zenon_H96. % 11.22/11.44 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d]. % 11.22/11.44 cut (((op (e2) (e3)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H179]. % 11.22/11.44 congruence. % 11.22/11.44 exact (zenon_H179 zenon_H118). % 11.22/11.44 apply zenon_H1d. apply refl_equal. % 11.22/11.44 apply zenon_H22. apply refl_equal. % 11.22/11.44 apply zenon_H22. apply refl_equal. % 11.22/11.44 (* end of lemma zenon_L166_ *) % 11.22/11.44 assert (zenon_L167_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e2) (e2)) = (e3))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e2) (e1)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e2) (e2)) = (e1))) -> ((op (e2) (e3)) = (e0)) -> (~((e0) = (e1))) -> False). % 11.22/11.44 do 0 intro. intros zenon_H11b zenon_He3 zenon_Hed zenon_He2 zenon_H41 zenon_H3c zenon_H167 zenon_Hc7 zenon_H30 zenon_H11c zenon_H96 zenon_H20. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H6f | zenon_intro zenon_H11d ]. % 11.22/11.44 apply (zenon_L145_); trivial. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H11e ]. % 11.22/11.44 apply (zenon_L95_); trivial. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H11f | zenon_intro zenon_H118 ]. % 11.22/11.44 exact (zenon_H11c zenon_H11f). % 11.22/11.44 apply (zenon_L166_); trivial. % 11.22/11.44 (* end of lemma zenon_L167_ *) % 11.22/11.44 assert (zenon_L168_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e0) (e0)) = (e1)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e0) = (e1))) -> (~((op (e2) (e2)) = (e1))) -> (~((e1) = (e2))) -> ((op (e2) (e1)) = (e2)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e2) (e2)) = (e3))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((e0) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((e2) = (e3))) -> False). % 11.22/11.44 do 0 intro. intros zenon_H49 zenon_H4f zenon_H44 zenon_H38 zenon_H20 zenon_H11c zenon_H30 zenon_Hc7 zenon_H167 zenon_H3c zenon_He2 zenon_Hed zenon_He3 zenon_H11b zenon_H65 zenon_H27 zenon_Hcb zenon_Hfa zenon_H34 zenon_Hd0 zenon_H41. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.22/11.44 apply (zenon_L160_); trivial. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.22/11.44 apply (zenon_L134_); trivial. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.22/11.44 apply (zenon_L57_); trivial. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.22/11.44 exact (zenon_H38 zenon_H33). % 11.22/11.44 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.22/11.44 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H6e | zenon_intro zenon_Hfc ]. % 11.22/11.44 apply (zenon_L163_); trivial. % 11.22/11.44 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hfd ]. % 11.22/11.44 apply (zenon_L164_); trivial. % 11.22/11.44 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hce | zenon_intro zenon_H96 ]. % 11.22/11.44 apply (zenon_L165_); trivial. % 11.22/11.44 apply (zenon_L167_); trivial. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.22/11.44 apply (zenon_L59_); trivial. % 11.22/11.44 apply (zenon_L11_); trivial. % 11.22/11.44 (* end of lemma zenon_L168_ *) % 11.22/11.44 assert (zenon_L169_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e2)) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e0)) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e2))) -> False). % 11.22/11.44 do 0 intro. intros zenon_H49 zenon_H4f zenon_Hcb zenon_Hc7 zenon_H27 zenon_Hd0 zenon_H47 zenon_H30. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.22/11.44 apply (zenon_L160_); trivial. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.22/11.44 apply (zenon_L134_); trivial. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.22/11.44 apply (zenon_L57_); trivial. % 11.22/11.44 apply (zenon_L15_); trivial. % 11.22/11.44 (* end of lemma zenon_L169_ *) % 11.22/11.44 assert (zenon_L170_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((e2) = (e3))) -> (~((op (e1) (e1)) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e1))) -> ((op (e2) (e1)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> False). % 11.22/11.44 do 0 intro. intros zenon_H4c zenon_H34 zenon_Hfa zenon_H65 zenon_H38 zenon_H44 zenon_H20 zenon_Hb7 zenon_Hd0 zenon_H27 zenon_Hcb zenon_H49 zenon_H16e zenon_H11c zenon_H16c zenon_H11b zenon_He3 zenon_He2 zenon_H167 zenon_H105 zenon_Hed zenon_He5 zenon_H41 zenon_H79 zenon_H3c zenon_H148 zenon_H54 zenon_Hc7 zenon_H30 zenon_H16a. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.22/11.44 apply (zenon_L168_); trivial. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.22/11.44 apply (zenon_L133_); trivial. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.22/11.44 apply (zenon_L61_); trivial. % 11.22/11.44 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ]. % 11.22/11.44 apply (zenon_L169_); trivial. % 11.22/11.44 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ]. % 11.22/11.44 apply (zenon_L151_); trivial. % 11.22/11.44 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ]. % 11.22/11.44 apply (zenon_L145_); trivial. % 11.22/11.44 apply (zenon_L152_); trivial. % 11.22/11.44 (* end of lemma zenon_L170_ *) % 11.22/11.44 assert (zenon_L171_ : (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e2)) -> (~((e1) = (e3))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> False). % 11.22/11.44 do 0 intro. intros zenon_Hf3 zenon_H41 zenon_H2f zenon_H3c zenon_H88 zenon_He2 zenon_Heb zenon_Hed. % 11.22/11.44 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H3b | zenon_intro zenon_Hf4 ]. % 11.22/11.44 apply (zenon_L13_); trivial. % 11.22/11.44 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H89 | zenon_intro zenon_Hf5 ]. % 11.22/11.44 apply (zenon_L35_); trivial. % 11.22/11.44 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_He1 | zenon_intro zenon_Hec ]. % 11.22/11.44 exact (zenon_He2 zenon_He1). % 11.22/11.44 apply (zenon_L74_); trivial. % 11.22/11.44 (* end of lemma zenon_L171_ *) % 11.22/11.44 assert (zenon_L172_ : (~((op (e2) (op (e2) (e2))) = (op (e2) (e0)))) -> ((op (e2) (e2)) = (e0)) -> False). % 11.22/11.44 do 0 intro. intros zenon_H17a zenon_Hce. % 11.22/11.44 cut (((op (e2) (e2)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_Hcf]. % 11.22/11.44 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H29]. % 11.22/11.44 congruence. % 11.22/11.44 apply zenon_H29. apply refl_equal. % 11.22/11.44 exact (zenon_Hcf zenon_Hce). % 11.22/11.44 (* end of lemma zenon_L172_ *) % 11.22/11.44 assert (zenon_L173_ : ((op (e2) (e0)) = (e1)) -> ((op (e2) (e2)) = (e0)) -> (~((e1) = (op (e2) (op (e2) (e2))))) -> False). % 11.22/11.44 do 0 intro. intros zenon_H6f zenon_Hce zenon_H17b. % 11.22/11.44 elim (classic ((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [ zenon_intro zenon_H17c | zenon_intro zenon_H17d ]. % 11.22/11.44 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2)))) = ((e1) = (op (e2) (op (e2) (e2))))). % 11.22/11.44 intro zenon_D_pnotp. % 11.22/11.44 apply zenon_H17b. % 11.22/11.44 rewrite <- zenon_D_pnotp. % 11.22/11.44 exact zenon_H17c. % 11.22/11.44 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H17d]. % 11.22/11.44 cut (((op (e2) (op (e2) (e2))) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H17e]. % 11.22/11.44 congruence. % 11.22/11.44 cut (((op (e2) (e0)) = (e1)) = ((op (e2) (op (e2) (e2))) = (e1))). % 11.22/11.44 intro zenon_D_pnotp. % 11.22/11.44 apply zenon_H17e. % 11.22/11.44 rewrite <- zenon_D_pnotp. % 11.22/11.44 exact zenon_H6f. % 11.22/11.44 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H22]. % 11.22/11.44 cut (((op (e2) (e0)) = (op (e2) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H17f]. % 11.22/11.44 congruence. % 11.22/11.44 elim (classic ((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [ zenon_intro zenon_H17c | zenon_intro zenon_H17d ]. % 11.22/11.44 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2)))) = ((op (e2) (e0)) = (op (e2) (op (e2) (e2))))). % 11.22/11.44 intro zenon_D_pnotp. % 11.22/11.44 apply zenon_H17f. % 11.22/11.44 rewrite <- zenon_D_pnotp. % 11.22/11.44 exact zenon_H17c. % 11.22/11.44 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H17d]. % 11.22/11.44 cut (((op (e2) (op (e2) (e2))) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H17a]. % 11.22/11.44 congruence. % 11.22/11.44 apply (zenon_L172_); trivial. % 11.22/11.44 apply zenon_H17d. apply refl_equal. % 11.22/11.44 apply zenon_H17d. apply refl_equal. % 11.22/11.44 apply zenon_H22. apply refl_equal. % 11.22/11.44 apply zenon_H17d. apply refl_equal. % 11.22/11.44 apply zenon_H17d. apply refl_equal. % 11.22/11.44 (* end of lemma zenon_L173_ *) % 11.22/11.44 assert (zenon_L174_ : ((op (e2) (e0)) = (e1)) -> ((op (e2) (e1)) = (e3)) -> ((op (e2) (e2)) = (e0)) -> False). % 11.22/11.44 do 0 intro. intros zenon_H6f zenon_H145 zenon_Hce. % 11.22/11.44 apply (zenon_notand_s _ _ ax17); [ zenon_intro zenon_H17b | zenon_intro zenon_H180 ]. % 11.22/11.44 apply (zenon_L173_); trivial. % 11.22/11.44 apply (zenon_notand_s _ _ zenon_H180); [ zenon_intro zenon_H181 | zenon_intro zenon_H178 ]. % 11.22/11.44 elim (classic ((op (e2) (op (e2) (op (e2) (e2)))) = (op (e2) (op (e2) (op (e2) (e2)))))); [ zenon_intro zenon_H182 | zenon_intro zenon_H183 ]. % 11.22/11.44 cut (((op (e2) (op (e2) (op (e2) (e2)))) = (op (e2) (op (e2) (op (e2) (e2))))) = ((e3) = (op (e2) (op (e2) (op (e2) (e2)))))). % 11.22/11.44 intro zenon_D_pnotp. % 11.22/11.44 apply zenon_H181. % 11.22/11.44 rewrite <- zenon_D_pnotp. % 11.22/11.44 exact zenon_H182. % 11.22/11.44 cut (((op (e2) (op (e2) (op (e2) (e2)))) = (op (e2) (op (e2) (op (e2) (e2)))))); [idtac | apply NNPP; zenon_intro zenon_H183]. % 11.22/11.44 cut (((op (e2) (op (e2) (op (e2) (e2)))) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H184]. % 11.22/11.44 congruence. % 11.22/11.44 cut (((op (e2) (e1)) = (e3)) = ((op (e2) (op (e2) (op (e2) (e2)))) = (e3))). % 11.22/11.44 intro zenon_D_pnotp. % 11.22/11.44 apply zenon_H184. % 11.22/11.44 rewrite <- zenon_D_pnotp. % 11.22/11.44 exact zenon_H145. % 11.22/11.44 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H36]. % 11.22/11.44 cut (((op (e2) (e1)) = (op (e2) (op (e2) (op (e2) (e2)))))); [idtac | apply NNPP; zenon_intro zenon_H185]. % 11.22/11.44 congruence. % 11.22/11.44 elim (classic ((op (e2) (op (e2) (op (e2) (e2)))) = (op (e2) (op (e2) (op (e2) (e2)))))); [ zenon_intro zenon_H182 | zenon_intro zenon_H183 ]. % 11.22/11.44 cut (((op (e2) (op (e2) (op (e2) (e2)))) = (op (e2) (op (e2) (op (e2) (e2))))) = ((op (e2) (e1)) = (op (e2) (op (e2) (op (e2) (e2)))))). % 11.22/11.44 intro zenon_D_pnotp. % 11.22/11.44 apply zenon_H185. % 11.22/11.44 rewrite <- zenon_D_pnotp. % 11.22/11.44 exact zenon_H182. % 11.22/11.44 cut (((op (e2) (op (e2) (op (e2) (e2)))) = (op (e2) (op (e2) (op (e2) (e2)))))); [idtac | apply NNPP; zenon_intro zenon_H183]. % 11.22/11.44 cut (((op (e2) (op (e2) (op (e2) (e2)))) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H186]. % 11.22/11.44 congruence. % 11.22/11.44 cut (((op (e2) (op (e2) (e2))) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H17e]. % 11.22/11.44 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H29]. % 11.22/11.44 congruence. % 11.22/11.44 apply zenon_H29. apply refl_equal. % 11.22/11.44 cut (((op (e2) (e0)) = (e1)) = ((op (e2) (op (e2) (e2))) = (e1))). % 11.22/11.44 intro zenon_D_pnotp. % 11.22/11.44 apply zenon_H17e. % 11.22/11.44 rewrite <- zenon_D_pnotp. % 11.22/11.44 exact zenon_H6f. % 11.22/11.44 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H22]. % 11.22/11.44 cut (((op (e2) (e0)) = (op (e2) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H17f]. % 11.22/11.44 congruence. % 11.22/11.44 elim (classic ((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [ zenon_intro zenon_H17c | zenon_intro zenon_H17d ]. % 11.22/11.44 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2)))) = ((op (e2) (e0)) = (op (e2) (op (e2) (e2))))). % 11.22/11.44 intro zenon_D_pnotp. % 11.22/11.44 apply zenon_H17f. % 11.22/11.44 rewrite <- zenon_D_pnotp. % 11.22/11.44 exact zenon_H17c. % 11.22/11.44 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H17d]. % 11.22/11.44 cut (((op (e2) (op (e2) (e2))) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H17a]. % 11.22/11.44 congruence. % 11.22/11.44 apply (zenon_L172_); trivial. % 11.22/11.44 apply zenon_H17d. apply refl_equal. % 11.22/11.44 apply zenon_H17d. apply refl_equal. % 11.22/11.44 apply zenon_H22. apply refl_equal. % 11.22/11.44 apply zenon_H183. apply refl_equal. % 11.22/11.44 apply zenon_H183. apply refl_equal. % 11.22/11.44 apply zenon_H36. apply refl_equal. % 11.22/11.44 apply zenon_H183. apply refl_equal. % 11.22/11.44 apply zenon_H183. apply refl_equal. % 11.22/11.44 apply zenon_H178. apply sym_equal. exact zenon_Hce. % 11.22/11.44 (* end of lemma zenon_L174_ *) % 11.22/11.44 assert (zenon_L175_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e2) (e2)) = (e0)) -> ((op (e2) (e0)) = (e1)) -> (~((op (e2) (e2)) = (e3))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False). % 11.22/11.44 do 0 intro. intros zenon_H167 zenon_H3c zenon_Hce zenon_H6f zenon_He2 zenon_Hed zenon_He3. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H152 | zenon_intro zenon_H168 ]. % 11.22/11.44 apply (zenon_L136_); trivial. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H145 | zenon_intro zenon_H169 ]. % 11.22/11.44 apply (zenon_L174_); trivial. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_He1 | zenon_intro zenon_H164 ]. % 11.22/11.44 exact (zenon_He2 zenon_He1). % 11.22/11.44 apply (zenon_L144_); trivial. % 11.22/11.44 (* end of lemma zenon_L175_ *) % 11.22/11.44 assert (zenon_L176_ : (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e0)) -> ((op (e2) (e3)) = (e0)) -> False). % 11.22/11.44 do 0 intro. intros zenon_H16e zenon_H72 zenon_H96. % 11.22/11.44 cut (((op (e0) (e3)) = (e0)) = ((op (e0) (e3)) = (op (e2) (e3)))). % 11.22/11.44 intro zenon_D_pnotp. % 11.22/11.44 apply zenon_H16e. % 11.22/11.44 rewrite <- zenon_D_pnotp. % 11.22/11.44 exact zenon_H72. % 11.22/11.44 cut (((e0) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H97]. % 11.22/11.44 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H64]. % 11.22/11.44 congruence. % 11.22/11.44 apply zenon_H64. apply refl_equal. % 11.22/11.44 apply zenon_H97. apply sym_equal. exact zenon_H96. % 11.22/11.44 (* end of lemma zenon_L176_ *) % 11.22/11.44 assert (zenon_L177_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e1))) -> (~((e0) = (e2))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e1))) -> (~((e1) = (e2))) -> ((op (e2) (e1)) = (e2)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e2) (e2)) = (e3))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False). % 11.22/11.44 do 0 intro. intros zenon_Hfa zenon_H20 zenon_H27 zenon_H90 zenon_H117 zenon_H11c zenon_H30 zenon_Hc7 zenon_H167 zenon_H3c zenon_He2 zenon_Hed zenon_He3 zenon_H11b zenon_H16e zenon_H72. % 11.22/11.44 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H6e | zenon_intro zenon_Hfc ]. % 11.22/11.44 apply (zenon_L97_); trivial. % 11.22/11.44 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hfd ]. % 11.22/11.44 apply (zenon_L164_); trivial. % 11.22/11.44 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hce | zenon_intro zenon_H96 ]. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H6f | zenon_intro zenon_H11d ]. % 11.22/11.44 apply (zenon_L175_); trivial. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H11e ]. % 11.22/11.44 apply (zenon_L95_); trivial. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H11f | zenon_intro zenon_H118 ]. % 11.22/11.44 exact (zenon_H11c zenon_H11f). % 11.22/11.44 apply (zenon_L96_); trivial. % 11.22/11.44 apply (zenon_L176_); trivial. % 11.22/11.44 (* end of lemma zenon_L177_ *) % 11.22/11.44 assert (zenon_L178_ : (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> ((op (e1) (e0)) = (e3)) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e0) (e2)) = (e2)) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e1))) -> (~((e0) = (e2))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e1))) -> (~((e1) = (e2))) -> ((op (e2) (e1)) = (e2)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e2) (e2)) = (e3))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False). % 11.22/11.44 do 0 intro. intros zenon_H92 zenon_H75 zenon_H54 zenon_Heb zenon_H2f zenon_H41 zenon_Hf3 zenon_Hfa zenon_H20 zenon_H27 zenon_H117 zenon_H11c zenon_H30 zenon_Hc7 zenon_H167 zenon_H3c zenon_He2 zenon_Hed zenon_He3 zenon_H11b zenon_H16e zenon_H72. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H6d | zenon_intro zenon_H93 ]. % 11.22/11.44 apply (zenon_L123_); trivial. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H56 | zenon_intro zenon_H94 ]. % 11.22/11.44 exact (zenon_H54 zenon_H56). % 11.22/11.44 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H88 | zenon_intro zenon_H90 ]. % 11.22/11.44 apply (zenon_L171_); trivial. % 11.22/11.44 apply (zenon_L177_); trivial. % 11.22/11.44 (* end of lemma zenon_L178_ *) % 11.22/11.44 assert (zenon_L179_ : (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e0) (e0)) = (e1)) -> ((op (e1) (e0)) = (e1)) -> False). % 11.22/11.44 do 0 intro. intros zenon_H187 zenon_H4f zenon_H6d. % 11.22/11.44 cut (((op (e0) (e0)) = (e1)) = ((op (e0) (e0)) = (op (e1) (e0)))). % 11.22/11.44 intro zenon_D_pnotp. % 11.22/11.44 apply zenon_H187. % 11.22/11.44 rewrite <- zenon_D_pnotp. % 11.22/11.44 exact zenon_H4f. % 11.22/11.44 cut (((e1) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H12c]. % 11.22/11.44 cut (((op (e0) (e0)) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H188]. % 11.22/11.44 congruence. % 11.22/11.44 apply zenon_H188. apply refl_equal. % 11.22/11.44 apply zenon_H12c. apply sym_equal. exact zenon_H6d. % 11.22/11.44 (* end of lemma zenon_L179_ *) % 11.22/11.44 assert (zenon_L180_ : ((op (e0) (e3)) = (e0)) -> ((op (e0) (e3)) = (e2)) -> (~((e0) = (e2))) -> False). % 11.22/11.44 do 0 intro. intros zenon_H72 zenon_H3f zenon_H27. % 11.22/11.44 elim (classic ((e2) = (e2))); [ zenon_intro zenon_H28 | zenon_intro zenon_H29 ]. % 11.22/11.44 cut (((e2) = (e2)) = ((e0) = (e2))). % 11.22/11.44 intro zenon_D_pnotp. % 11.22/11.44 apply zenon_H27. % 11.22/11.44 rewrite <- zenon_D_pnotp. % 11.22/11.44 exact zenon_H28. % 11.22/11.44 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H29]. % 11.22/11.44 cut (((e2) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H2a]. % 11.22/11.44 congruence. % 11.22/11.44 cut (((op (e0) (e3)) = (e0)) = ((e2) = (e0))). % 11.22/11.44 intro zenon_D_pnotp. % 11.22/11.44 apply zenon_H2a. % 11.22/11.44 rewrite <- zenon_D_pnotp. % 11.22/11.44 exact zenon_H72. % 11.22/11.44 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d]. % 11.22/11.44 cut (((op (e0) (e3)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H48]. % 11.22/11.44 congruence. % 11.22/11.44 exact (zenon_H48 zenon_H3f). % 11.22/11.44 apply zenon_H1d. apply refl_equal. % 11.22/11.44 apply zenon_H29. apply refl_equal. % 11.22/11.44 apply zenon_H29. apply refl_equal. % 11.22/11.44 (* end of lemma zenon_L180_ *) % 11.22/11.44 assert (zenon_L181_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e2) (e1)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e1))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e2))) -> False). % 11.22/11.44 do 0 intro. intros zenon_H49 zenon_Hcb zenon_Hed zenon_H15d zenon_H92 zenon_H4f zenon_H187 zenon_H54 zenon_Heb zenon_He2 zenon_H41 zenon_Hf3 zenon_H11b zenon_H3c zenon_Hc7 zenon_H30 zenon_H11c zenon_H117 zenon_Hfa zenon_H20 zenon_H167 zenon_He3 zenon_H16e zenon_H161 zenon_H72 zenon_H27. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.22/11.44 apply (zenon_L160_); trivial. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.22/11.44 apply (zenon_L134_); trivial. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ]. % 11.22/11.44 apply (zenon_L58_); trivial. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ]. % 11.22/11.44 apply (zenon_L178_); trivial. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ]. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H6d | zenon_intro zenon_H93 ]. % 11.22/11.44 apply (zenon_L179_); trivial. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H56 | zenon_intro zenon_H94 ]. % 11.22/11.44 exact (zenon_H54 zenon_H56). % 11.22/11.44 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H88 | zenon_intro zenon_H90 ]. % 11.22/11.44 apply (zenon_L171_); trivial. % 11.22/11.44 apply (zenon_L137_); trivial. % 11.22/11.44 apply (zenon_L141_); trivial. % 11.22/11.44 apply (zenon_L180_); trivial. % 11.22/11.44 (* end of lemma zenon_L181_ *) % 11.22/11.44 assert (zenon_L182_ : ((op (e0) (e3)) = (e0)) -> ((op (e0) (e3)) = (e1)) -> (~((e0) = (e1))) -> False). % 11.22/11.44 do 0 intro. intros zenon_H72 zenon_H47 zenon_H20. % 11.22/11.44 elim (classic ((e1) = (e1))); [ zenon_intro zenon_H21 | zenon_intro zenon_H22 ]. % 11.22/11.44 cut (((e1) = (e1)) = ((e0) = (e1))). % 11.22/11.44 intro zenon_D_pnotp. % 11.22/11.44 apply zenon_H20. % 11.22/11.44 rewrite <- zenon_D_pnotp. % 11.22/11.44 exact zenon_H21. % 11.22/11.44 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H22]. % 11.22/11.44 cut (((e1) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H23]. % 11.22/11.44 congruence. % 11.22/11.44 cut (((op (e0) (e3)) = (e0)) = ((e1) = (e0))). % 11.22/11.44 intro zenon_D_pnotp. % 11.22/11.44 apply zenon_H23. % 11.22/11.44 rewrite <- zenon_D_pnotp. % 11.22/11.44 exact zenon_H72. % 11.22/11.44 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d]. % 11.22/11.44 cut (((op (e0) (e3)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H189]. % 11.22/11.44 congruence. % 11.22/11.44 exact (zenon_H189 zenon_H47). % 11.22/11.44 apply zenon_H1d. apply refl_equal. % 11.22/11.44 apply zenon_H22. apply refl_equal. % 11.22/11.44 apply zenon_H22. apply refl_equal. % 11.22/11.44 (* end of lemma zenon_L182_ *) % 11.22/11.44 assert (zenon_L183_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (e1))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e1))) -> False). % 11.22/11.44 do 0 intro. intros zenon_H4c zenon_H161 zenon_H16e zenon_He3 zenon_H167 zenon_Hfa zenon_H117 zenon_H11c zenon_H11b zenon_Hf3 zenon_He2 zenon_Heb zenon_H187 zenon_H92 zenon_H15d zenon_H27 zenon_H30 zenon_Hc7 zenon_Hcb zenon_H105 zenon_Hed zenon_He5 zenon_H54 zenon_H148 zenon_H79 zenon_H41 zenon_H3c zenon_H49 zenon_H72 zenon_H20. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.22/11.44 apply (zenon_L181_); trivial. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.22/11.44 apply (zenon_L133_); trivial. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.22/11.44 apply (zenon_L159_); trivial. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.22/11.44 apply (zenon_L134_); trivial. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.22/11.44 apply (zenon_L6_); trivial. % 11.22/11.44 apply (zenon_L180_); trivial. % 11.22/11.44 apply (zenon_L182_); trivial. % 11.22/11.44 (* end of lemma zenon_L183_ *) % 11.22/11.44 assert (zenon_L184_ : ((op (e2) (e3)) = (e2)) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> False). % 11.22/11.44 do 0 intro. intros zenon_H18a zenon_Hc7 zenon_H18b. % 11.22/11.44 elim (classic ((op (e2) (e3)) = (op (e2) (e3)))); [ zenon_intro zenon_H18c | zenon_intro zenon_He4 ]. % 11.22/11.44 cut (((op (e2) (e3)) = (op (e2) (e3))) = ((op (e2) (e1)) = (op (e2) (e3)))). % 11.22/11.44 intro zenon_D_pnotp. % 11.22/11.44 apply zenon_H18b. % 11.22/11.44 rewrite <- zenon_D_pnotp. % 11.22/11.44 exact zenon_H18c. % 11.22/11.44 cut (((op (e2) (e3)) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_He4]. % 11.22/11.44 cut (((op (e2) (e3)) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H18d]. % 11.22/11.44 congruence. % 11.22/11.44 cut (((op (e2) (e3)) = (e2)) = ((op (e2) (e3)) = (op (e2) (e1)))). % 11.22/11.44 intro zenon_D_pnotp. % 11.22/11.44 apply zenon_H18d. % 11.22/11.44 rewrite <- zenon_D_pnotp. % 11.22/11.44 exact zenon_H18a. % 11.22/11.44 cut (((e2) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Hca]. % 11.22/11.44 cut (((op (e2) (e3)) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_He4]. % 11.22/11.44 congruence. % 11.22/11.44 apply zenon_He4. apply refl_equal. % 11.22/11.44 apply zenon_Hca. apply sym_equal. exact zenon_Hc7. % 11.22/11.44 apply zenon_He4. apply refl_equal. % 11.22/11.44 apply zenon_He4. apply refl_equal. % 11.22/11.44 (* end of lemma zenon_L184_ *) % 11.22/11.44 assert (zenon_L185_ : ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e3) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e1) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((e0) = (e2))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e0) = (e3))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e1) (e1)) = (e3))) -> (~((e2) = (e3))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e1))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> False). % 11.22/11.44 do 0 intro. intros zenon_H18e zenon_H18b zenon_H4c zenon_H16e zenon_H16c zenon_H49 zenon_H38 zenon_H15a zenon_H157 zenon_H54 zenon_H14f zenon_H11b zenon_H117 zenon_H11c zenon_H61 zenon_H141 zenon_H154 zenon_H15f zenon_H15d zenon_H161 zenon_H30 zenon_Hcb zenon_H27 zenon_H167 zenon_He3 zenon_H34 zenon_H105 zenon_H16a zenon_H44 zenon_Hb7 zenon_H3c zenon_H79 zenon_H41 zenon_Hc7 zenon_He5 zenon_Hed zenon_H148 zenon_H20 zenon_H4d zenon_H65 zenon_Hfa zenon_H187 zenon_Hf3 zenon_Heb zenon_H92 zenon_H18f. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_He2 | zenon_intro zenon_H18a ]. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H25 | zenon_intro zenon_H190 ]. % 11.22/11.44 apply (zenon_L153_); trivial. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H1e | zenon_intro zenon_H191 ]. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.22/11.44 exact (zenon_H4d zenon_H4f). % 11.22/11.44 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.22/11.44 apply (zenon_L2_); trivial. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.22/11.44 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ]. % 11.22/11.44 exact (zenon_H4d zenon_H4f). % 11.22/11.44 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ]. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.22/11.44 apply (zenon_L159_); trivial. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.22/11.44 apply (zenon_L134_); trivial. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.22/11.44 apply (zenon_L6_); trivial. % 11.22/11.44 apply (zenon_L143_); trivial. % 11.22/11.44 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ]. % 11.22/11.44 apply (zenon_L145_); trivial. % 11.22/11.44 apply (zenon_L152_); trivial. % 11.22/11.44 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ]. % 11.22/11.44 exact (zenon_H4d zenon_H4f). % 11.22/11.44 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ]. % 11.22/11.44 apply (zenon_L151_); trivial. % 11.22/11.44 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ]. % 11.22/11.44 apply (zenon_L145_); trivial. % 11.22/11.44 apply (zenon_L152_); trivial. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H72 ]. % 11.22/11.44 apply (zenon_L170_); trivial. % 11.22/11.44 apply (zenon_L183_); trivial. % 11.22/11.44 apply (zenon_L184_); trivial. % 11.22/11.44 (* end of lemma zenon_L185_ *) % 11.22/11.44 assert (zenon_L186_ : (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e2) (e2)) = (e2)) -> ((op (e2) (e3)) = (e2)) -> False). % 11.22/11.44 do 0 intro. intros zenon_H192 zenon_H5a zenon_H18a. % 11.22/11.44 cut (((op (e2) (e2)) = (e2)) = ((op (e2) (e2)) = (op (e2) (e3)))). % 11.22/11.44 intro zenon_D_pnotp. % 11.22/11.44 apply zenon_H192. % 11.22/11.44 rewrite <- zenon_D_pnotp. % 11.22/11.44 exact zenon_H5a. % 11.22/11.44 cut (((e2) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H193]. % 11.22/11.44 cut (((op (e2) (e2)) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H5e]. % 11.22/11.44 congruence. % 11.22/11.44 apply zenon_H5e. apply refl_equal. % 11.22/11.44 apply zenon_H193. apply sym_equal. exact zenon_H18a. % 11.22/11.44 (* end of lemma zenon_L186_ *) % 11.22/11.44 assert (zenon_L187_ : (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e0)) -> ((op (e2) (e3)) = (e0)) -> False). % 11.22/11.44 do 0 intro. intros zenon_H117 zenon_H7a zenon_H96. % 11.22/11.44 cut (((op (e1) (e3)) = (e0)) = ((op (e1) (e3)) = (op (e2) (e3)))). % 11.22/11.44 intro zenon_D_pnotp. % 11.22/11.44 apply zenon_H117. % 11.22/11.44 rewrite <- zenon_D_pnotp. % 11.22/11.44 exact zenon_H7a. % 11.22/11.44 cut (((e0) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H97]. % 11.22/11.44 cut (((op (e1) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H11a]. % 11.22/11.44 congruence. % 11.22/11.44 apply zenon_H11a. apply refl_equal. % 11.22/11.44 apply zenon_H97. apply sym_equal. exact zenon_H96. % 11.22/11.44 (* end of lemma zenon_L187_ *) % 11.22/11.44 assert (zenon_L188_ : (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> ((op (e3) (e3)) = (e2)) -> False). % 11.22/11.44 do 0 intro. intros zenon_He3 zenon_H18a zenon_Hb4. % 11.22/11.44 cut (((op (e2) (e3)) = (e2)) = ((op (e2) (e3)) = (op (e3) (e3)))). % 11.22/11.44 intro zenon_D_pnotp. % 11.22/11.44 apply zenon_He3. % 11.22/11.44 rewrite <- zenon_D_pnotp. % 11.22/11.44 exact zenon_H18a. % 11.22/11.44 cut (((e2) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hea]. % 11.22/11.44 cut (((op (e2) (e3)) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_He4]. % 11.22/11.44 congruence. % 11.22/11.44 apply zenon_He4. apply refl_equal. % 11.22/11.44 apply zenon_Hea. apply sym_equal. exact zenon_Hb4. % 11.22/11.44 (* end of lemma zenon_L188_ *) % 11.22/11.44 assert (zenon_L189_ : (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> ((op (e1) (e3)) = (e0)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e3) (e3)) = (e2)) -> ((op (e3) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False). % 11.22/11.44 do 0 intro. intros zenon_H194 zenon_H7a zenon_H117 zenon_H47 zenon_H16e zenon_Hb4 zenon_Hed zenon_He3. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H96 | zenon_intro zenon_H195 ]. % 11.22/11.44 apply (zenon_L187_); trivial. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H118 | zenon_intro zenon_H196 ]. % 11.22/11.44 apply (zenon_L150_); trivial. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H18a | zenon_intro zenon_H164 ]. % 11.22/11.44 apply (zenon_L188_); trivial. % 11.22/11.44 apply (zenon_L144_); trivial. % 11.22/11.44 (* end of lemma zenon_L189_ *) % 11.22/11.44 assert (zenon_L190_ : (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> ((op (e1) (e3)) = (e0)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False). % 11.22/11.44 do 0 intro. intros zenon_H197 zenon_H30 zenon_H27 zenon_H5a zenon_H192 zenon_H194 zenon_H7a zenon_H117 zenon_H47 zenon_H16e zenon_Hed zenon_He3. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H197); [ zenon_intro zenon_H3f | zenon_intro zenon_H198 ]. % 11.22/11.44 apply (zenon_L15_); trivial. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H62 | zenon_intro zenon_H199 ]. % 11.22/11.44 apply (zenon_L103_); trivial. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H18a | zenon_intro zenon_Hb4 ]. % 11.22/11.44 apply (zenon_L186_); trivial. % 11.22/11.44 apply (zenon_L189_); trivial. % 11.22/11.44 (* end of lemma zenon_L190_ *) % 11.22/11.44 assert (zenon_L191_ : (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e0)) = (e0)) -> ((op (e2) (e2)) = (e0)) -> False). % 11.22/11.44 do 0 intro. intros zenon_Hc0 zenon_H6e zenon_Hce. % 11.22/11.44 cut (((op (e2) (e0)) = (e0)) = ((op (e2) (e0)) = (op (e2) (e2)))). % 11.22/11.44 intro zenon_D_pnotp. % 11.22/11.44 apply zenon_Hc0. % 11.22/11.44 rewrite <- zenon_D_pnotp. % 11.22/11.44 exact zenon_H6e. % 11.22/11.44 cut (((e0) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H178]. % 11.22/11.44 cut (((op (e2) (e0)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H98]. % 11.22/11.44 congruence. % 11.22/11.44 apply zenon_H98. apply refl_equal. % 11.22/11.44 apply zenon_H178. apply sym_equal. exact zenon_Hce. % 11.22/11.44 (* end of lemma zenon_L191_ *) % 11.22/11.44 assert (zenon_L192_ : (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e1) (e2)) = (e1)) -> ((op (e2) (e2)) = (e1)) -> False). % 11.22/11.44 do 0 intro. intros zenon_H5c zenon_H88 zenon_H11f. % 11.22/11.44 cut (((op (e1) (e2)) = (e1)) = ((op (e1) (e2)) = (op (e2) (e2)))). % 11.22/11.44 intro zenon_D_pnotp. % 11.22/11.44 apply zenon_H5c. % 11.22/11.44 rewrite <- zenon_D_pnotp. % 11.22/11.44 exact zenon_H88. % 11.22/11.44 cut (((e1) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H19a]. % 11.22/11.44 cut (((op (e1) (e2)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H12a]. % 11.22/11.44 congruence. % 11.22/11.44 apply zenon_H12a. apply refl_equal. % 11.22/11.44 apply zenon_H19a. apply sym_equal. exact zenon_H11f. % 11.22/11.44 (* end of lemma zenon_L192_ *) % 11.22/11.44 assert (zenon_L193_ : (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e3)) -> ((op (e2) (e2)) = (e3)) -> False). % 11.22/11.44 do 0 intro. intros zenon_H65 zenon_H3b zenon_He1. % 11.22/11.44 cut (((op (e0) (e2)) = (e3)) = ((op (e0) (e2)) = (op (e2) (e2)))). % 11.22/11.44 intro zenon_D_pnotp. % 11.22/11.44 apply zenon_H65. % 11.22/11.44 rewrite <- zenon_D_pnotp. % 11.22/11.44 exact zenon_H3b. % 11.22/11.44 cut (((e3) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H19b]. % 11.22/11.44 cut (((op (e0) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H140]. % 11.22/11.44 congruence. % 11.22/11.44 apply zenon_H140. apply refl_equal. % 11.22/11.44 apply zenon_H19b. apply sym_equal. exact zenon_He1. % 11.22/11.44 (* end of lemma zenon_L193_ *) % 11.22/11.44 assert (zenon_L194_ : (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e3)) -> False). % 11.22/11.44 do 0 intro. intros zenon_H19c zenon_H6e zenon_Hc0 zenon_H88 zenon_H5c zenon_H5b zenon_H65 zenon_H3b. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_Hce | zenon_intro zenon_H19d ]. % 11.22/11.44 apply (zenon_L191_); trivial. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H11f | zenon_intro zenon_H19e ]. % 11.22/11.44 apply (zenon_L192_); trivial. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H5a | zenon_intro zenon_He1 ]. % 11.22/11.44 apply (zenon_L21_); trivial. % 11.22/11.44 apply (zenon_L193_); trivial. % 11.22/11.44 (* end of lemma zenon_L194_ *) % 11.22/11.44 assert (zenon_L195_ : (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e3)) -> False). % 11.22/11.44 do 0 intro. intros zenon_H19f zenon_H41 zenon_H18a zenon_H192 zenon_H19c zenon_H6e zenon_Hc0 zenon_H88 zenon_H5c zenon_Had zenon_H65 zenon_H3b. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_H2f | zenon_intro zenon_H1a0 ]. % 11.22/11.44 apply (zenon_L13_); trivial. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5b | zenon_intro zenon_H1a1 ]. % 11.22/11.44 apply (zenon_L194_); trivial. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_H5a | zenon_intro zenon_Hae ]. % 11.22/11.44 apply (zenon_L186_); trivial. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_Hce | zenon_intro zenon_H19d ]. % 11.22/11.44 apply (zenon_L191_); trivial. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H11f | zenon_intro zenon_H19e ]. % 11.22/11.44 apply (zenon_L192_); trivial. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H5a | zenon_intro zenon_He1 ]. % 11.22/11.44 apply (zenon_L46_); trivial. % 11.22/11.44 apply (zenon_L193_); trivial. % 11.22/11.44 (* end of lemma zenon_L195_ *) % 11.22/11.44 assert (zenon_L196_ : (~((e1) = (e3))) -> ((op (e3) (e0)) = (e3)) -> ((op (e3) (e0)) = (e1)) -> False). % 11.22/11.44 do 0 intro. intros zenon_H3c zenon_H15e zenon_H99. % 11.22/11.44 cut (((op (e3) (e0)) = (e3)) = ((e1) = (e3))). % 11.22/11.44 intro zenon_D_pnotp. % 11.22/11.44 apply zenon_H3c. % 11.22/11.44 rewrite <- zenon_D_pnotp. % 11.22/11.44 exact zenon_H15e. % 11.22/11.44 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H36]. % 11.22/11.44 cut (((op (e3) (e0)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H100]. % 11.22/11.44 congruence. % 11.22/11.44 exact (zenon_H100 zenon_H99). % 11.22/11.44 apply zenon_H36. apply refl_equal. % 11.22/11.44 (* end of lemma zenon_L196_ *) % 11.22/11.44 assert (zenon_L197_ : ((op (e3) (e0)) = (e1)) -> ((op (e2) (e0)) = (e0)) -> (~((e0) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e3) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e0) = (e1))) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e3))) -> False). % 11.22/11.44 do 0 intro. intros zenon_H99 zenon_H6e zenon_H34 zenon_H113 zenon_H10b zenon_H1e zenon_H13f zenon_H8d zenon_H13a zenon_H65 zenon_Had zenon_H5c zenon_Hc0 zenon_H19c zenon_H192 zenon_H41 zenon_H19f zenon_H197 zenon_H30 zenon_H27 zenon_H194 zenon_H117 zenon_H16e zenon_Hed zenon_He3 zenon_H18e zenon_H18b zenon_H4c zenon_H16c zenon_H49 zenon_H38 zenon_H15a zenon_H157 zenon_H54 zenon_H14f zenon_H11b zenon_H11c zenon_H61 zenon_H141 zenon_H154 zenon_H15f zenon_H15d zenon_H161 zenon_Hcb zenon_H167 zenon_H105 zenon_H16a zenon_H44 zenon_Hb7 zenon_H79 zenon_He5 zenon_H148 zenon_H4d zenon_Hfa zenon_H187 zenon_Hf3 zenon_Heb zenon_H92 zenon_H18f zenon_H1a2 zenon_H20 zenon_H47 zenon_H3c. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.22/11.44 exact (zenon_H38 zenon_H33). % 11.22/11.44 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.22/11.44 apply (zenon_L8_); trivial. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ]. % 11.22/11.44 exact (zenon_H38 zenon_H33). % 11.22/11.44 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ]. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ]. % 11.22/11.44 apply (zenon_L118_); trivial. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ]. % 11.22/11.44 apply (zenon_L87_); trivial. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ]. % 11.22/11.44 apply (zenon_L128_); trivial. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H6d | zenon_intro zenon_H93 ]. % 11.22/11.44 apply (zenon_L123_); trivial. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H56 | zenon_intro zenon_H94 ]. % 11.22/11.44 exact (zenon_H54 zenon_H56). % 11.22/11.44 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H88 | zenon_intro zenon_H90 ]. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H1a3 ]. % 11.22/11.44 apply (zenon_L48_); trivial. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H1a4 ]. % 11.22/11.44 apply (zenon_L185_); trivial. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H5a | zenon_intro zenon_H18a ]. % 11.22/11.44 apply (zenon_L190_); trivial. % 11.22/11.44 apply (zenon_L195_); trivial. % 11.22/11.44 apply (zenon_L38_); trivial. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ]. % 11.22/11.44 apply (zenon_L161_); trivial. % 11.22/11.44 apply (zenon_L196_); trivial. % 11.22/11.44 apply (zenon_L14_); trivial. % 11.22/11.44 (* end of lemma zenon_L197_ *) % 11.22/11.44 assert (zenon_L198_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e1))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e3)) -> ((op (e2) (e0)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e0)) -> False). % 11.22/11.44 do 0 intro. intros zenon_Hfa zenon_H20 zenon_H1e zenon_Hcb zenon_H145 zenon_H6f zenon_H117 zenon_H7a. % 11.22/11.44 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H6e | zenon_intro zenon_Hfc ]. % 11.22/11.44 apply (zenon_L29_); trivial. % 11.22/11.44 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hfd ]. % 11.22/11.44 apply (zenon_L55_); trivial. % 11.22/11.44 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hce | zenon_intro zenon_H96 ]. % 11.22/11.44 apply (zenon_L174_); trivial. % 11.22/11.44 apply (zenon_L187_); trivial. % 11.22/11.44 (* end of lemma zenon_L198_ *) % 11.22/11.44 assert (zenon_L199_ : ((op (e0) (e3)) = (e1)) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> False). % 11.22/11.44 do 0 intro. intros zenon_H47 zenon_H1f zenon_H71. % 11.22/11.44 elim (classic ((op (e0) (e3)) = (op (e0) (e3)))); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H64 ]. % 11.22/11.44 cut (((op (e0) (e3)) = (op (e0) (e3))) = ((op (e0) (e1)) = (op (e0) (e3)))). % 11.22/11.44 intro zenon_D_pnotp. % 11.22/11.44 apply zenon_H71. % 11.22/11.44 rewrite <- zenon_D_pnotp. % 11.22/11.44 exact zenon_H1a5. % 11.22/11.44 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H64]. % 11.22/11.44 cut (((op (e0) (e3)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1a6]. % 11.22/11.44 congruence. % 11.22/11.44 cut (((op (e0) (e3)) = (e1)) = ((op (e0) (e3)) = (op (e0) (e1)))). % 11.22/11.44 intro zenon_D_pnotp. % 11.22/11.44 apply zenon_H1a6. % 11.22/11.44 rewrite <- zenon_D_pnotp. % 11.22/11.44 exact zenon_H47. % 11.22/11.44 cut (((e1) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1a7]. % 11.22/11.44 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H64]. % 11.22/11.44 congruence. % 11.22/11.44 apply zenon_H64. apply refl_equal. % 11.22/11.44 apply zenon_H1a7. apply sym_equal. exact zenon_H1f. % 11.22/11.44 apply zenon_H64. apply refl_equal. % 11.22/11.44 apply zenon_H64. apply refl_equal. % 11.22/11.44 (* end of lemma zenon_L199_ *) % 11.22/11.44 assert (zenon_L200_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e1) (e1)) = (e1))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((e1) = (e3))) -> ((op (e3) (e1)) = (e3)) -> False). % 11.22/11.44 do 0 intro. intros zenon_H105 zenon_H71 zenon_H47 zenon_H54 zenon_H6f zenon_Hc4 zenon_H3c zenon_H147. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H1f | zenon_intro zenon_H107 ]. % 11.22/11.44 apply (zenon_L199_); trivial. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H56 | zenon_intro zenon_H108 ]. % 11.22/11.44 exact (zenon_H54 zenon_H56). % 11.22/11.44 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hc5 | zenon_intro zenon_He6 ]. % 11.22/11.44 apply (zenon_L53_); trivial. % 11.22/11.44 apply (zenon_L157_); trivial. % 11.22/11.44 (* end of lemma zenon_L200_ *) % 11.22/11.44 assert (zenon_L201_ : (~((e0) = (e3))) -> ((op (e3) (e0)) = (e3)) -> ((op (e3) (e0)) = (e0)) -> False). % 11.22/11.44 do 0 intro. intros zenon_H34 zenon_H15e zenon_Hc3. % 11.22/11.44 cut (((op (e3) (e0)) = (e3)) = ((e0) = (e3))). % 11.22/11.44 intro zenon_D_pnotp. % 11.22/11.44 apply zenon_H34. % 11.22/11.44 rewrite <- zenon_D_pnotp. % 11.22/11.44 exact zenon_H15e. % 11.22/11.44 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H36]. % 11.22/11.44 cut (((op (e3) (e0)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1a8]. % 11.22/11.44 congruence. % 11.22/11.44 exact (zenon_H1a8 zenon_Hc3). % 11.22/11.44 apply zenon_H36. apply refl_equal. % 11.22/11.44 (* end of lemma zenon_L201_ *) % 11.22/11.44 assert (zenon_L202_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e0)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e1))) -> False). % 11.22/11.44 do 0 intro. intros zenon_H4c zenon_Hb7 zenon_H4d zenon_H34 zenon_H3c zenon_H113 zenon_H10b zenon_H61 zenon_H44 zenon_H38 zenon_H141 zenon_H13f zenon_H8d zenon_Hed zenon_H13a zenon_H92 zenon_H148 zenon_H79 zenon_H117 zenon_Hcb zenon_H1e zenon_Hfa zenon_H105 zenon_H71 zenon_H54 zenon_Hc4 zenon_H161 zenon_Hc3 zenon_H20. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.22/11.44 exact (zenon_H4d zenon_H4f). % 11.22/11.44 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.22/11.44 apply (zenon_L2_); trivial. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.22/11.44 apply (zenon_L114_); trivial. % 11.22/11.44 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ]. % 11.22/11.44 exact (zenon_H4d zenon_H4f). % 11.22/11.44 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ]. % 11.22/11.44 apply (zenon_L125_); trivial. % 11.22/11.44 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ]. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ]. % 11.22/11.44 exact (zenon_H38 zenon_H33). % 11.22/11.44 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ]. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ]. % 11.22/11.44 apply (zenon_L118_); trivial. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ]. % 11.22/11.44 apply (zenon_L87_); trivial. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ]. % 11.22/11.44 apply (zenon_L128_); trivial. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H39 | zenon_intro zenon_H149 ]. % 11.22/11.44 apply (zenon_L8_); trivial. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H78 | zenon_intro zenon_H14a ]. % 11.22/11.44 exact (zenon_H79 zenon_H78). % 11.22/11.44 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H145 | zenon_intro zenon_H147 ]. % 11.22/11.44 apply (zenon_L198_); trivial. % 11.22/11.44 apply (zenon_L200_); trivial. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ]. % 11.22/11.44 apply (zenon_L136_); trivial. % 11.22/11.44 apply (zenon_L201_); trivial. % 11.22/11.44 apply (zenon_L79_); trivial. % 11.22/11.44 (* end of lemma zenon_L202_ *) % 11.22/11.44 assert (zenon_L203_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (~((e0) = (e1))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> False). % 11.22/11.44 do 0 intro. intros zenon_H4c zenon_H4d zenon_H20 zenon_H13a zenon_Hed zenon_H3c zenon_H1e zenon_H34 zenon_H38 zenon_H44 zenon_H61 zenon_H90. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.22/11.44 exact (zenon_H4d zenon_H4f). % 11.22/11.44 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.22/11.44 apply (zenon_L2_); trivial. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.22/11.44 apply (zenon_L114_); trivial. % 11.22/11.44 apply (zenon_L127_); trivial. % 11.22/11.44 (* end of lemma zenon_L203_ *) % 11.22/11.44 assert (zenon_L204_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e2) (e1)) = (e2))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e1))) -> ((op (e2) (e0)) = (e1)) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e2)) = (e2)) -> (~((e0) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e2)) = (e3)) -> False). % 11.22/11.44 do 0 intro. intros zenon_H105 zenon_H54 zenon_Hc4 zenon_H106 zenon_H68 zenon_H1a9 zenon_Hfa zenon_H20 zenon_H6f zenon_H1e zenon_Hcb zenon_H5a zenon_H27 zenon_Hf0 zenon_He3 zenon_He5 zenon_Heb zenon_Hec. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H1f | zenon_intro zenon_H107 ]. % 11.22/11.44 apply (zenon_L2_); trivial. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H56 | zenon_intro zenon_H108 ]. % 11.22/11.44 exact (zenon_H54 zenon_H56). % 11.22/11.44 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hc5 | zenon_intro zenon_He6 ]. % 11.22/11.44 apply (zenon_L53_); trivial. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H2c | zenon_intro zenon_H109 ]. % 11.22/11.44 apply (zenon_L4_); trivial. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H6c | zenon_intro zenon_H10a ]. % 11.22/11.44 exact (zenon_H68 zenon_H6c). % 11.22/11.44 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Ha4 ]. % 11.22/11.44 exact (zenon_H1a9 zenon_Hc7). % 11.22/11.44 apply (zenon_L85_); trivial. % 11.22/11.44 (* end of lemma zenon_L204_ *) % 11.22/11.44 assert (zenon_L205_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e2) (e1)) = (e2))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e1))) -> (~((e0) = (e2))) -> ((op (e3) (e2)) = (e3)) -> (~((e0) = (e3))) -> ((op (e3) (e0)) = (e1)) -> False). % 11.22/11.44 do 0 intro. intros zenon_H106 zenon_H1e zenon_H68 zenon_H1a9 zenon_H122 zenon_H20 zenon_H27 zenon_Hec zenon_H34 zenon_H99. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H2c | zenon_intro zenon_H109 ]. % 11.22/11.44 apply (zenon_L4_); trivial. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H6c | zenon_intro zenon_H10a ]. % 11.22/11.44 exact (zenon_H68 zenon_H6c). % 11.22/11.44 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Ha4 ]. % 11.22/11.44 exact (zenon_H1a9 zenon_Hc7). % 11.22/11.44 apply (zenon_L99_); trivial. % 11.22/11.44 (* end of lemma zenon_L205_ *) % 11.22/11.44 assert (zenon_L206_ : (((op (e2) (e2)) = (e2))/\(((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0)))/\(((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e1))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (e1))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e2) (e1)) = (e2))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> False). % 11.22/11.44 do 0 intro. intros zenon_H132 zenon_H130 zenon_H122 zenon_H4c zenon_H30 zenon_H27 zenon_H65 zenon_H44 zenon_H41 zenon_H3c zenon_H34 zenon_H49 zenon_H1e zenon_H20 zenon_H4d zenon_H69 zenon_H61 zenon_H5c zenon_Hb7 zenon_Hb9 zenon_Had zenon_Hb0 zenon_H95 zenon_H54 zenon_H8d zenon_H92 zenon_H71 zenon_Hb8 zenon_H105 zenon_H1a9 zenon_Hfa zenon_Hf3 zenon_He3 zenon_He5 zenon_Heb zenon_Hf0 zenon_Hf6 zenon_Hfb zenon_Hcb zenon_H106 zenon_Hc4 zenon_H12d zenon_Hc0 zenon_H113 zenon_H10b zenon_H10e. % 11.22/11.44 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H5a. zenon_intro zenon_H133. % 11.22/11.44 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H135. zenon_intro zenon_H134. % 11.22/11.44 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H137. zenon_intro zenon_H136. % 11.22/11.44 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_H139. zenon_intro zenon_H138. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H2b | zenon_intro zenon_Hd0 ]. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H68 | zenon_intro zenon_H88 ]. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hec ]. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H25 | zenon_intro zenon_H12e ]. % 11.22/11.44 apply (zenon_L105_); trivial. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H57 | zenon_intro zenon_H12f ]. % 11.22/11.44 apply (zenon_L25_); trivial. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H6e | zenon_intro zenon_Hc3 ]. % 11.22/11.44 apply (zenon_L49_); trivial. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.22/11.44 exact (zenon_H4d zenon_H4f). % 11.22/11.44 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.22/11.44 apply (zenon_L2_); trivial. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.22/11.44 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ]. % 11.22/11.44 exact (zenon_H4d zenon_H4f). % 11.22/11.44 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ]. % 11.22/11.44 apply (zenon_L28_); trivial. % 11.22/11.44 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ]. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H1f | zenon_intro zenon_H107 ]. % 11.22/11.44 apply (zenon_L2_); trivial. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H56 | zenon_intro zenon_H108 ]. % 11.22/11.44 exact (zenon_H54 zenon_H56). % 11.22/11.44 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hc5 | zenon_intro zenon_He6 ]. % 11.22/11.44 apply (zenon_L53_); trivial. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H2c | zenon_intro zenon_H109 ]. % 11.22/11.44 apply (zenon_L4_); trivial. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H6c | zenon_intro zenon_H10a ]. % 11.22/11.44 exact (zenon_H68 zenon_H6c). % 11.22/11.44 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Ha4 ]. % 11.22/11.44 exact (zenon_H1a9 zenon_Hc7). % 11.22/11.44 apply (zenon_L78_); trivial. % 11.22/11.44 apply (zenon_L79_); trivial. % 11.22/11.44 apply (zenon_L24_); trivial. % 11.22/11.44 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ]. % 11.22/11.44 exact (zenon_H4d zenon_H4f). % 11.22/11.44 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ]. % 11.22/11.44 apply (zenon_L28_); trivial. % 11.22/11.44 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ]. % 11.22/11.44 apply (zenon_L204_); trivial. % 11.22/11.44 apply (zenon_L205_); trivial. % 11.22/11.44 apply (zenon_L110_); trivial. % 11.22/11.44 apply (zenon_L111_); trivial. % 11.22/11.44 (* end of lemma zenon_L206_ *) % 11.22/11.44 assert (zenon_L207_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e1) = (e3))) -> ((op (e1) (e0)) = (e1)) -> (~((e0) = (e3))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> False). % 11.22/11.44 do 0 intro. intros zenon_H161 zenon_H38 zenon_H3c zenon_H6d zenon_H34 zenon_H6e zenon_H15d zenon_Hed. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ]. % 11.22/11.44 exact (zenon_H38 zenon_H33). % 11.22/11.44 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ]. % 11.22/11.44 apply (zenon_L123_); trivial. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ]. % 11.22/11.44 apply (zenon_L161_); trivial. % 11.22/11.44 apply (zenon_L141_); trivial. % 11.22/11.44 (* end of lemma zenon_L207_ *) % 11.22/11.44 assert (zenon_L208_ : ((op (e2) (e0)) = (e2)) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> False). % 11.22/11.44 do 0 intro. intros zenon_Hb5 zenon_H26 zenon_H1aa. % 11.22/11.44 elim (classic ((op (e2) (e0)) = (op (e2) (e0)))); [ zenon_intro zenon_H1ab | zenon_intro zenon_H98 ]. % 11.22/11.44 cut (((op (e2) (e0)) = (op (e2) (e0))) = ((op (e0) (e0)) = (op (e2) (e0)))). % 11.22/11.44 intro zenon_D_pnotp. % 11.22/11.44 apply zenon_H1aa. % 11.22/11.44 rewrite <- zenon_D_pnotp. % 11.22/11.44 exact zenon_H1ab. % 11.22/11.44 cut (((op (e2) (e0)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H98]. % 11.22/11.44 cut (((op (e2) (e0)) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H1ac]. % 11.22/11.44 congruence. % 11.22/11.44 cut (((op (e2) (e0)) = (e2)) = ((op (e2) (e0)) = (op (e0) (e0)))). % 11.22/11.44 intro zenon_D_pnotp. % 11.22/11.44 apply zenon_H1ac. % 11.22/11.44 rewrite <- zenon_D_pnotp. % 11.22/11.44 exact zenon_Hb5. % 11.22/11.44 cut (((e2) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H172]. % 11.22/11.44 cut (((op (e2) (e0)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H98]. % 11.22/11.44 congruence. % 11.22/11.44 apply zenon_H98. apply refl_equal. % 11.22/11.44 apply zenon_H172. apply sym_equal. exact zenon_H26. % 11.22/11.44 apply zenon_H98. apply refl_equal. % 11.22/11.44 apply zenon_H98. apply refl_equal. % 11.22/11.44 (* end of lemma zenon_L208_ *) % 11.22/11.44 assert (zenon_L209_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e2)) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e3))) -> False). % 11.22/11.44 do 0 intro. intros zenon_H44 zenon_H38 zenon_H34 zenon_H1e zenon_H41 zenon_H2f zenon_H47 zenon_H3c. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.22/11.44 exact (zenon_H38 zenon_H33). % 11.22/11.44 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.22/11.44 apply (zenon_L8_); trivial. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.22/11.44 apply (zenon_L13_); trivial. % 11.22/11.44 apply (zenon_L14_); trivial. % 11.22/11.44 (* end of lemma zenon_L209_ *) % 11.22/11.44 assert (zenon_L210_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e0)) = (e0)) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e0) = (e1))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e3))) -> (~((e0) = (e2))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e2))) -> False). % 11.22/11.44 do 0 intro. intros zenon_H4c zenon_H4d zenon_H49 zenon_H113 zenon_H10b zenon_H61 zenon_H141 zenon_H13f zenon_H79 zenon_H8d zenon_H13a zenon_H92 zenon_H15d zenon_H161 zenon_H54 zenon_H65 zenon_Had zenon_H5c zenon_Hc0 zenon_H6e zenon_H19c zenon_H192 zenon_H19f zenon_H197 zenon_H194 zenon_H117 zenon_H16e zenon_Hed zenon_He3 zenon_H1a9 zenon_H1aa zenon_H1a2 zenon_H20 zenon_H167 zenon_Hcb zenon_He2 zenon_H27 zenon_H3c zenon_H41 zenon_H1e zenon_H34 zenon_H38 zenon_H44 zenon_H30. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.22/11.44 exact (zenon_H4d zenon_H4f). % 11.22/11.44 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.22/11.44 apply (zenon_L2_); trivial. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.22/11.44 apply (zenon_L114_); trivial. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.22/11.44 exact (zenon_H38 zenon_H33). % 11.22/11.44 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.22/11.44 apply (zenon_L163_); trivial. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ]. % 11.22/11.44 apply (zenon_L121_); trivial. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ]. % 11.22/11.44 apply (zenon_L87_); trivial. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ]. % 11.22/11.44 apply (zenon_L128_); trivial. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H6d | zenon_intro zenon_H93 ]. % 11.22/11.44 apply (zenon_L207_); trivial. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H56 | zenon_intro zenon_H94 ]. % 11.22/11.44 exact (zenon_H54 zenon_H56). % 11.22/11.44 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H88 | zenon_intro zenon_H90 ]. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H1a3 ]. % 11.22/11.44 apply (zenon_L208_); trivial. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H1a4 ]. % 11.22/11.44 exact (zenon_H1a9 zenon_Hc7). % 11.22/11.44 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H5a | zenon_intro zenon_H18a ]. % 11.22/11.44 apply (zenon_L190_); trivial. % 11.22/11.44 apply (zenon_L195_); trivial. % 11.22/11.44 apply (zenon_L38_); trivial. % 11.22/11.44 apply (zenon_L14_); trivial. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.22/11.44 apply (zenon_L4_); trivial. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.22/11.44 apply (zenon_L209_); trivial. % 11.22/11.44 apply (zenon_L15_); trivial. % 11.22/11.44 (* end of lemma zenon_L210_ *) % 11.22/11.44 assert (zenon_L211_ : ((op (e0) (e1)) = (e1)) -> ((op (e0) (e1)) = (e2)) -> (~((e1) = (e2))) -> False). % 11.22/11.44 do 0 intro. intros zenon_H1f zenon_H2c zenon_H30. % 11.22/11.44 elim (classic ((e2) = (e2))); [ zenon_intro zenon_H28 | zenon_intro zenon_H29 ]. % 11.22/11.44 cut (((e2) = (e2)) = ((e1) = (e2))). % 11.22/11.44 intro zenon_D_pnotp. % 11.22/11.44 apply zenon_H30. % 11.22/11.44 rewrite <- zenon_D_pnotp. % 11.22/11.44 exact zenon_H28. % 11.22/11.44 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H29]. % 11.22/11.44 cut (((e2) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H31]. % 11.22/11.44 congruence. % 11.22/11.44 cut (((op (e0) (e1)) = (e1)) = ((e2) = (e1))). % 11.22/11.44 intro zenon_D_pnotp. % 11.22/11.44 apply zenon_H31. % 11.22/11.44 rewrite <- zenon_D_pnotp. % 11.22/11.44 exact zenon_H1f. % 11.22/11.44 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H22]. % 11.22/11.44 cut (((op (e0) (e1)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 11.22/11.44 congruence. % 11.22/11.44 exact (zenon_H2d zenon_H2c). % 11.22/11.44 apply zenon_H22. apply refl_equal. % 11.22/11.44 apply zenon_H29. apply refl_equal. % 11.22/11.44 apply zenon_H29. apply refl_equal. % 11.22/11.44 (* end of lemma zenon_L211_ *) % 11.22/11.44 assert (zenon_L212_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e2)) -> ((op (e3) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False). % 11.22/11.44 do 0 intro. intros zenon_H44 zenon_H38 zenon_H3c zenon_H1f zenon_H41 zenon_H2f zenon_Hed zenon_H13a. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.22/11.44 exact (zenon_H38 zenon_H33). % 11.22/11.44 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.22/11.44 apply (zenon_L130_); trivial. % 11.22/11.44 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.22/11.44 apply (zenon_L13_); trivial. % 11.22/11.44 apply (zenon_L113_); trivial. % 11.22/11.44 (* end of lemma zenon_L212_ *) % 11.22/11.44 assert (zenon_L213_ : ((op (e2) (e3)) = (e2)) -> ((op (e0) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False). % 11.22/11.45 do 0 intro. intros zenon_H18a zenon_H3f zenon_H16e. % 11.22/11.45 elim (classic ((op (e2) (e3)) = (op (e2) (e3)))); [ zenon_intro zenon_H18c | zenon_intro zenon_He4 ]. % 11.22/11.45 cut (((op (e2) (e3)) = (op (e2) (e3))) = ((op (e0) (e3)) = (op (e2) (e3)))). % 11.22/11.45 intro zenon_D_pnotp. % 11.22/11.45 apply zenon_H16e. % 11.22/11.45 rewrite <- zenon_D_pnotp. % 11.22/11.45 exact zenon_H18c. % 11.22/11.45 cut (((op (e2) (e3)) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_He4]. % 11.22/11.45 cut (((op (e2) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H1ad]. % 11.22/11.45 congruence. % 11.22/11.45 cut (((op (e2) (e3)) = (e2)) = ((op (e2) (e3)) = (op (e0) (e3)))). % 11.22/11.45 intro zenon_D_pnotp. % 11.22/11.45 apply zenon_H1ad. % 11.22/11.45 rewrite <- zenon_D_pnotp. % 11.22/11.45 exact zenon_H18a. % 11.22/11.45 cut (((e2) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H1ae]. % 11.22/11.45 cut (((op (e2) (e3)) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_He4]. % 11.22/11.45 congruence. % 11.22/11.45 apply zenon_He4. apply refl_equal. % 11.22/11.45 apply zenon_H1ae. apply sym_equal. exact zenon_H3f. % 11.22/11.45 apply zenon_He4. apply refl_equal. % 11.22/11.45 apply zenon_He4. apply refl_equal. % 11.22/11.45 (* end of lemma zenon_L213_ *) % 11.22/11.45 assert (zenon_L214_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e0) (e0)) = (e0)) -> (~((e1) = (e2))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (~((e1) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False). % 11.22/11.45 do 0 intro. intros zenon_H49 zenon_H27 zenon_H25 zenon_H30 zenon_H13a zenon_Hed zenon_H41 zenon_H1f zenon_H3c zenon_H38 zenon_H44 zenon_H18a zenon_H16e. % 11.22/11.45 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.22/11.45 apply (zenon_L3_); trivial. % 11.22/11.45 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.22/11.45 apply (zenon_L211_); trivial. % 11.22/11.45 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.22/11.45 apply (zenon_L212_); trivial. % 11.22/11.45 apply (zenon_L213_); trivial. % 11.22/11.45 (* end of lemma zenon_L214_ *) % 11.22/11.45 assert (zenon_L215_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e2)) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e1)) -> ((op (e3) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False). % 11.22/11.45 do 0 intro. intros zenon_H44 zenon_H38 zenon_H41 zenon_H2c zenon_H3c zenon_H2e zenon_Hed zenon_H13a. % 11.22/11.45 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.22/11.45 exact (zenon_H38 zenon_H33). % 11.22/11.45 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.22/11.45 apply (zenon_L65_); trivial. % 11.22/11.45 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.22/11.45 apply (zenon_L9_); trivial. % 11.22/11.45 apply (zenon_L113_); trivial. % 11.22/11.45 (* end of lemma zenon_L215_ *) % 11.22/11.45 assert (zenon_L216_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e0) (e2)) = (e1)) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False). % 11.22/11.45 do 0 intro. intros zenon_H49 zenon_H27 zenon_H25 zenon_H13a zenon_Hed zenon_H3c zenon_H41 zenon_H38 zenon_H44 zenon_H30 zenon_H2e zenon_H18a zenon_H16e. % 11.22/11.45 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.22/11.45 apply (zenon_L3_); trivial. % 11.22/11.45 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.22/11.45 apply (zenon_L215_); trivial. % 11.22/11.45 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.22/11.45 apply (zenon_L6_); trivial. % 11.22/11.45 apply (zenon_L213_); trivial. % 11.22/11.45 (* end of lemma zenon_L216_ *) % 11.22/11.45 assert (zenon_L217_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e0) (e0)) = (e0)) -> (~((e0) = (e2))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e2))) -> False). % 11.22/11.45 do 0 intro. intros zenon_H4c zenon_H4d zenon_H16e zenon_H18a zenon_H3c zenon_H49 zenon_H25 zenon_H27 zenon_H13a zenon_Hed zenon_H41 zenon_H1e zenon_H34 zenon_H38 zenon_H44 zenon_H30. % 11.22/11.45 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.22/11.45 exact (zenon_H4d zenon_H4f). % 11.22/11.45 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.22/11.45 apply (zenon_L214_); trivial. % 11.22/11.45 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.22/11.45 apply (zenon_L216_); trivial. % 11.22/11.45 apply (zenon_L116_); trivial. % 11.22/11.45 (* end of lemma zenon_L217_ *) % 11.22/11.45 assert (zenon_L218_ : (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e0)) -> ((op (e3) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((e0) = (e1))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (e1))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((e1) = (e3))) -> False). % 11.22/11.45 do 0 intro. intros zenon_H61 zenon_H44 zenon_H38 zenon_H34 zenon_H1e zenon_Hed zenon_H13a zenon_H20 zenon_H4d zenon_H4c zenon_H19f zenon_H41 zenon_H18a zenon_H192 zenon_H19c zenon_H6e zenon_Hc0 zenon_H5c zenon_Had zenon_H65 zenon_H54 zenon_H161 zenon_H15d zenon_H92 zenon_H3c. % 11.22/11.45 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.22/11.45 exact (zenon_H4d zenon_H4f). % 11.22/11.45 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.22/11.45 apply (zenon_L2_); trivial. % 11.22/11.45 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.22/11.45 apply (zenon_L114_); trivial. % 11.22/11.45 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.22/11.45 exact (zenon_H38 zenon_H33). % 11.22/11.45 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.22/11.45 apply (zenon_L8_); trivial. % 11.22/11.45 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.22/11.45 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H6d | zenon_intro zenon_H93 ]. % 11.22/11.45 apply (zenon_L207_); trivial. % 11.22/11.45 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H56 | zenon_intro zenon_H94 ]. % 11.22/11.45 exact (zenon_H54 zenon_H56). % 11.22/11.45 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H88 | zenon_intro zenon_H90 ]. % 11.22/11.45 apply (zenon_L195_); trivial. % 11.22/11.45 apply (zenon_L203_); trivial. % 11.22/11.45 apply (zenon_L14_); trivial. % 11.22/11.45 (* end of lemma zenon_L218_ *) % 11.22/11.45 assert (zenon_L219_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e0)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e0) = (e1))) -> False). % 11.22/11.45 do 0 intro. intros zenon_H12d zenon_H30 zenon_H27 zenon_H49 zenon_H16e zenon_H15d zenon_H65 zenon_Had zenon_H5c zenon_Hc0 zenon_H19c zenon_H192 zenon_H18a zenon_H41 zenon_H19f zenon_H4c zenon_Hb7 zenon_H4d zenon_H34 zenon_H3c zenon_H113 zenon_H10b zenon_H61 zenon_H44 zenon_H38 zenon_H141 zenon_H13f zenon_H8d zenon_Hed zenon_H13a zenon_H92 zenon_H148 zenon_H79 zenon_H117 zenon_Hcb zenon_H1e zenon_Hfa zenon_H105 zenon_H71 zenon_H54 zenon_Hc4 zenon_H161 zenon_H20. % 11.22/11.45 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H25 | zenon_intro zenon_H12e ]. % 11.22/11.45 apply (zenon_L217_); trivial. % 11.22/11.45 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H57 | zenon_intro zenon_H12f ]. % 11.22/11.45 apply (zenon_L122_); trivial. % 11.22/11.45 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H6e | zenon_intro zenon_Hc3 ]. % 11.22/11.45 apply (zenon_L218_); trivial. % 11.22/11.45 apply (zenon_L202_); trivial. % 11.22/11.45 (* end of lemma zenon_L219_ *) % 11.22/11.45 assert (zenon_L220_ : ((~((op (e2) (e2)) = (e1)))\/(~((op (e2) (e1)) = (e2)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e0)) = (e1))) -> (~((e0) = (e1))) -> ((op (e0) (e1)) = (e0)) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (e1))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))\/((((op (e1) (e1)) = (e1))/\(((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0)))/\(((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1)))/\(((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2)))/\((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3)))))))\/((((op (e2) (e2)) = (e2))/\(((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0)))/\(((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3)))))))\/(((op (e3) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3)))))))))) -> False). % 11.22/11.45 do 0 intro. intros zenon_H1af zenon_H1aa zenon_H4d zenon_H20 zenon_H1e zenon_H49 zenon_H34 zenon_H3c zenon_H41 zenon_H44 zenon_H30 zenon_H27 zenon_H4c zenon_H54 zenon_H12d zenon_Hc4 zenon_H106 zenon_Hcb zenon_Hfb zenon_Hf6 zenon_Hf0 zenon_Heb zenon_He5 zenon_He3 zenon_Hf3 zenon_Hfa zenon_Hc8 zenon_H105 zenon_Hc0 zenon_Hb8 zenon_H71 zenon_H92 zenon_H8d zenon_H95 zenon_Hb0 zenon_Had zenon_Hb9 zenon_Hb7 zenon_H5c zenon_H61 zenon_H69 zenon_H65 zenon_H125 zenon_H10e zenon_H113 zenon_H122 zenon_H117 zenon_H11b zenon_H10b zenon_H101 zenon_H130 zenon_H13a zenon_H13f zenon_H141 zenon_H1a2 zenon_H19c zenon_H19f zenon_H192 zenon_H194 zenon_H197 zenon_H18f zenon_H187 zenon_H148 zenon_H16a zenon_H167 zenon_H161 zenon_H15d zenon_H154 zenon_H14f zenon_H157 zenon_H15a zenon_H16c zenon_H16e zenon_H18b zenon_H1b0. % 11.22/11.45 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_H11c | zenon_intro zenon_H1a9 ]. % 11.22/11.45 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H51 | zenon_intro zenon_H1b1 ]. % 11.22/11.45 apply (zenon_L18_); trivial. % 11.22/11.45 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H53 | zenon_intro zenon_H1b2 ]. % 11.22/11.45 apply (zenon_L19_); trivial. % 11.22/11.45 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H132 | zenon_intro zenon_H15f ]. % 11.22/11.45 apply (zenon_L112_); trivial. % 11.22/11.45 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_Hed. zenon_intro zenon_H160. % 11.22/11.45 apply (zenon_and_s _ _ zenon_H160). zenon_intro zenon_H1b4. zenon_intro zenon_H1b3. % 11.22/11.45 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_H1b6. zenon_intro zenon_H1b5. % 11.22/11.45 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H18e. zenon_intro zenon_H1b7. % 11.22/11.45 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H38 | zenon_intro zenon_H72 ]. % 11.22/11.45 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H79 | zenon_intro zenon_H90 ]. % 11.22/11.45 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H25 | zenon_intro zenon_H12e ]. % 11.22/11.45 apply (zenon_L117_); trivial. % 11.22/11.45 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H57 | zenon_intro zenon_H12f ]. % 11.22/11.45 apply (zenon_L122_); trivial. % 11.22/11.45 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H6e | zenon_intro zenon_Hc3 ]. % 11.22/11.45 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.22/11.45 exact (zenon_H4d zenon_H4f). % 11.22/11.45 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.22/11.45 apply (zenon_L2_); trivial. % 11.22/11.45 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.22/11.45 apply (zenon_L114_); trivial. % 11.22/11.45 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ]. % 11.22/11.45 exact (zenon_H4d zenon_H4f). % 11.22/11.45 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ]. % 11.22/11.45 apply (zenon_L125_); trivial. % 11.22/11.45 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ]. % 11.22/11.45 apply (zenon_L29_); trivial. % 11.22/11.45 apply (zenon_L197_); trivial. % 11.22/11.45 apply (zenon_L202_); trivial. % 11.22/11.45 apply (zenon_L203_); trivial. % 11.22/11.45 apply (zenon_L30_); trivial. % 11.22/11.45 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H51 | zenon_intro zenon_H1b1 ]. % 11.22/11.45 apply (zenon_L18_); trivial. % 11.22/11.45 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H53 | zenon_intro zenon_H1b2 ]. % 11.22/11.45 apply (zenon_L19_); trivial. % 11.22/11.45 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H132 | zenon_intro zenon_H15f ]. % 11.22/11.45 apply (zenon_L206_); trivial. % 11.22/11.45 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_Hed. zenon_intro zenon_H160. % 11.22/11.45 apply (zenon_and_s _ _ zenon_H160). zenon_intro zenon_H1b4. zenon_intro zenon_H1b3. % 11.22/11.45 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_H1b6. zenon_intro zenon_H1b5. % 11.22/11.45 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H18e. zenon_intro zenon_H1b7. % 11.22/11.45 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H38 | zenon_intro zenon_H72 ]. % 11.22/11.45 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H79 | zenon_intro zenon_H90 ]. % 11.22/11.45 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_He2 | zenon_intro zenon_H18a ]. % 11.22/11.45 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H25 | zenon_intro zenon_H12e ]. % 11.22/11.45 apply (zenon_L17_); trivial. % 11.22/11.45 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H57 | zenon_intro zenon_H12f ]. % 11.22/11.45 apply (zenon_L122_); trivial. % 11.22/11.45 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H6e | zenon_intro zenon_Hc3 ]. % 11.22/11.45 apply (zenon_L210_); trivial. % 11.22/11.45 apply (zenon_L202_); trivial. % 11.22/11.45 apply (zenon_L219_); trivial. % 11.22/11.45 apply (zenon_L203_); trivial. % 11.22/11.45 apply (zenon_L30_); trivial. % 11.22/11.45 (* end of lemma zenon_L220_ *) % 11.22/11.45 assert (zenon_L221_ : ((op (e0) (e2)) = (e0)) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> False). % 11.22/11.45 do 0 intro. intros zenon_Hd0 zenon_H25 zenon_H1b8. % 11.22/11.45 elim (classic ((op (e0) (e2)) = (op (e0) (e2)))); [ zenon_intro zenon_H1b9 | zenon_intro zenon_H140 ]. % 11.22/11.45 cut (((op (e0) (e2)) = (op (e0) (e2))) = ((op (e0) (e0)) = (op (e0) (e2)))). % 11.22/11.45 intro zenon_D_pnotp. % 11.22/11.45 apply zenon_H1b8. % 11.22/11.45 rewrite <- zenon_D_pnotp. % 11.22/11.45 exact zenon_H1b9. % 11.22/11.45 cut (((op (e0) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H140]. % 11.22/11.45 cut (((op (e0) (e2)) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H1ba]. % 11.22/11.45 congruence. % 11.22/11.45 cut (((op (e0) (e2)) = (e0)) = ((op (e0) (e2)) = (op (e0) (e0)))). % 11.22/11.45 intro zenon_D_pnotp. % 11.22/11.45 apply zenon_H1ba. % 11.22/11.45 rewrite <- zenon_D_pnotp. % 11.22/11.45 exact zenon_Hd0. % 11.22/11.45 cut (((e0) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H1bb]. % 11.22/11.45 cut (((op (e0) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H140]. % 11.22/11.45 congruence. % 11.22/11.45 apply zenon_H140. apply refl_equal. % 11.22/11.45 apply zenon_H1bb. apply sym_equal. exact zenon_H25. % 11.22/11.45 apply zenon_H140. apply refl_equal. % 11.22/11.45 apply zenon_H140. apply refl_equal. % 11.22/11.45 (* end of lemma zenon_L221_ *) % 11.22/11.45 assert (zenon_L222_ : (((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))))))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> False). % 11.22/11.45 do 0 intro. intros zenon_H51 zenon_Hd0 zenon_H1b8. % 11.22/11.45 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H25. zenon_intro zenon_H52. % 11.22/11.45 apply (zenon_L221_); trivial. % 11.22/11.45 (* end of lemma zenon_L222_ *) % 11.22/11.45 assert (zenon_L223_ : ((op (e1) (e1)) = (e1)) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> False). % 11.22/11.45 do 0 intro. intros zenon_H56 zenon_H1f zenon_H10b. % 11.22/11.45 elim (classic ((op (e1) (e1)) = (op (e1) (e1)))); [ zenon_intro zenon_H1bc | zenon_intro zenon_H1bd ]. % 11.22/11.45 cut (((op (e1) (e1)) = (op (e1) (e1))) = ((op (e0) (e1)) = (op (e1) (e1)))). % 11.22/11.45 intro zenon_D_pnotp. % 11.22/11.45 apply zenon_H10b. % 11.22/11.45 rewrite <- zenon_D_pnotp. % 11.22/11.45 exact zenon_H1bc. % 11.22/11.45 cut (((op (e1) (e1)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1bd]. % 11.22/11.45 cut (((op (e1) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1be]. % 11.22/11.45 congruence. % 11.22/11.45 cut (((op (e1) (e1)) = (e1)) = ((op (e1) (e1)) = (op (e0) (e1)))). % 11.22/11.45 intro zenon_D_pnotp. % 11.22/11.45 apply zenon_H1be. % 11.22/11.45 rewrite <- zenon_D_pnotp. % 11.22/11.45 exact zenon_H56. % 11.22/11.45 cut (((e1) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1a7]. % 11.22/11.45 cut (((op (e1) (e1)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1bd]. % 11.22/11.45 congruence. % 11.22/11.45 apply zenon_H1bd. apply refl_equal. % 11.22/11.45 apply zenon_H1a7. apply sym_equal. exact zenon_H1f. % 11.22/11.45 apply zenon_H1bd. apply refl_equal. % 11.22/11.45 apply zenon_H1bd. apply refl_equal. % 11.22/11.45 (* end of lemma zenon_L223_ *) % 11.22/11.45 assert (zenon_L224_ : (((op (e1) (e1)) = (e1))/\(((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0)))/\(((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1)))/\(((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2)))/\((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((e0) = (e1))) -> ((op (e0) (e2)) = (e0)) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> False). % 11.22/11.45 do 0 intro. intros zenon_H53 zenon_H10b zenon_H20 zenon_Hd0 zenon_H49 zenon_H30 zenon_H27 zenon_H41 zenon_H34 zenon_H3c zenon_H44 zenon_H2b zenon_H4c. % 11.22/11.45 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H56. zenon_intro zenon_H55. % 11.22/11.45 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H1c0. zenon_intro zenon_H1bf. % 11.22/11.45 apply (zenon_or_s _ _ zenon_H1c0); [ zenon_intro zenon_H4d | zenon_intro zenon_H1e ]. % 11.22/11.45 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.22/11.45 exact (zenon_H4d zenon_H4f). % 11.22/11.45 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.22/11.45 apply (zenon_L223_); trivial. % 11.22/11.45 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.22/11.45 apply (zenon_L61_); trivial. % 11.22/11.45 apply (zenon_L67_); trivial. % 11.22/11.45 apply (zenon_L68_); trivial. % 11.22/11.45 (* end of lemma zenon_L224_ *) % 11.22/11.45 assert (zenon_L225_ : (((op (e2) (e2)) = (e2))/\(((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0)))/\(((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))))))) -> (~((op (e2) (e2)) = (e2))) -> False). % 11.22/11.45 do 0 intro. intros zenon_H132 zenon_H1c1. % 11.22/11.45 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H5a. zenon_intro zenon_H133. % 11.22/11.45 exact (zenon_H1c1 zenon_H5a). % 11.22/11.45 (* end of lemma zenon_L225_ *) % 11.22/11.45 assert (zenon_L226_ : (~((op (e0) (op (e0) (e0))) = (op (e0) (e1)))) -> ((op (e0) (e0)) = (e1)) -> False). % 11.22/11.45 do 0 intro. intros zenon_H1c2 zenon_H4f. % 11.22/11.45 cut (((op (e0) (e0)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H4d]. % 11.22/11.45 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d]. % 11.22/11.45 congruence. % 11.22/11.45 apply zenon_H1d. apply refl_equal. % 11.22/11.45 exact (zenon_H4d zenon_H4f). % 11.22/11.45 (* end of lemma zenon_L226_ *) % 11.22/11.45 assert (zenon_L227_ : ((op (e0) (e1)) = (e2)) -> ((op (e0) (e2)) = (e3)) -> ((op (e0) (e0)) = (e1)) -> False). % 11.22/11.45 do 0 intro. intros zenon_H2c zenon_H3b zenon_H4f. % 11.22/11.45 apply (zenon_notand_s _ _ ax22); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1c3 ]. % 11.22/11.45 elim (classic ((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [ zenon_intro zenon_Hd4 | zenon_intro zenon_Hd5 ]. % 11.22/11.45 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0)))) = ((e2) = (op (e0) (op (e0) (e0))))). % 11.22/11.45 intro zenon_D_pnotp. % 11.22/11.45 apply zenon_H1c4. % 11.22/11.45 rewrite <- zenon_D_pnotp. % 11.22/11.45 exact zenon_Hd4. % 11.22/11.45 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_Hd5]. % 11.22/11.45 cut (((op (e0) (op (e0) (e0))) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H1c5]. % 11.22/11.45 congruence. % 11.22/11.45 cut (((op (e0) (e1)) = (e2)) = ((op (e0) (op (e0) (e0))) = (e2))). % 11.22/11.45 intro zenon_D_pnotp. % 11.22/11.45 apply zenon_H1c5. % 11.22/11.45 rewrite <- zenon_D_pnotp. % 11.22/11.45 exact zenon_H2c. % 11.22/11.45 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H29]. % 11.22/11.45 cut (((op (e0) (e1)) = (op (e0) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H1c6]. % 11.22/11.45 congruence. % 11.22/11.45 elim (classic ((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [ zenon_intro zenon_Hd4 | zenon_intro zenon_Hd5 ]. % 11.22/11.45 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0)))) = ((op (e0) (e1)) = (op (e0) (op (e0) (e0))))). % 11.22/11.45 intro zenon_D_pnotp. % 11.22/11.45 apply zenon_H1c6. % 11.22/11.45 rewrite <- zenon_D_pnotp. % 11.22/11.45 exact zenon_Hd4. % 11.22/11.45 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_Hd5]. % 11.22/11.45 cut (((op (e0) (op (e0) (e0))) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1c2]. % 11.22/11.45 congruence. % 11.22/11.45 apply (zenon_L226_); trivial. % 11.22/11.45 apply zenon_Hd5. apply refl_equal. % 11.22/11.45 apply zenon_Hd5. apply refl_equal. % 11.22/11.45 apply zenon_H29. apply refl_equal. % 11.22/11.45 apply zenon_Hd5. apply refl_equal. % 11.22/11.45 apply zenon_Hd5. apply refl_equal. % 11.22/11.45 apply (zenon_notand_s _ _ zenon_H1c3); [ zenon_intro zenon_H173 | zenon_intro zenon_H1c7 ]. % 11.22/11.45 elim (classic ((op (e0) (op (e0) (op (e0) (e0)))) = (op (e0) (op (e0) (op (e0) (e0)))))); [ zenon_intro zenon_Hdb | zenon_intro zenon_Hdc ]. % 11.22/11.45 cut (((op (e0) (op (e0) (op (e0) (e0)))) = (op (e0) (op (e0) (op (e0) (e0))))) = ((e3) = (op (e0) (op (e0) (op (e0) (e0)))))). % 11.22/11.45 intro zenon_D_pnotp. % 11.22/11.45 apply zenon_H173. % 11.22/11.45 rewrite <- zenon_D_pnotp. % 11.22/11.45 exact zenon_Hdb. % 11.22/11.45 cut (((op (e0) (op (e0) (op (e0) (e0)))) = (op (e0) (op (e0) (op (e0) (e0)))))); [idtac | apply NNPP; zenon_intro zenon_Hdc]. % 11.22/11.45 cut (((op (e0) (op (e0) (op (e0) (e0)))) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H174]. % 11.22/11.45 congruence. % 11.22/11.45 cut (((op (e0) (e2)) = (e3)) = ((op (e0) (op (e0) (op (e0) (e0)))) = (e3))). % 11.22/11.45 intro zenon_D_pnotp. % 11.22/11.45 apply zenon_H174. % 11.22/11.45 rewrite <- zenon_D_pnotp. % 11.22/11.45 exact zenon_H3b. % 11.22/11.45 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H36]. % 11.22/11.45 cut (((op (e0) (e2)) = (op (e0) (op (e0) (op (e0) (e0)))))); [idtac | apply NNPP; zenon_intro zenon_H1c8]. % 11.22/11.45 congruence. % 11.22/11.45 elim (classic ((op (e0) (op (e0) (op (e0) (e0)))) = (op (e0) (op (e0) (op (e0) (e0)))))); [ zenon_intro zenon_Hdb | zenon_intro zenon_Hdc ]. % 11.22/11.45 cut (((op (e0) (op (e0) (op (e0) (e0)))) = (op (e0) (op (e0) (op (e0) (e0))))) = ((op (e0) (e2)) = (op (e0) (op (e0) (op (e0) (e0)))))). % 11.22/11.45 intro zenon_D_pnotp. % 11.22/11.45 apply zenon_H1c8. % 11.22/11.45 rewrite <- zenon_D_pnotp. % 11.22/11.45 exact zenon_Hdb. % 11.22/11.45 cut (((op (e0) (op (e0) (op (e0) (e0)))) = (op (e0) (op (e0) (op (e0) (e0)))))); [idtac | apply NNPP; zenon_intro zenon_Hdc]. % 11.22/11.45 cut (((op (e0) (op (e0) (op (e0) (e0)))) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H1c9]. % 11.22/11.45 congruence. % 11.22/11.45 cut (((op (e0) (op (e0) (e0))) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H1c5]. % 11.22/11.45 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d]. % 11.22/11.45 congruence. % 11.22/11.45 apply zenon_H1d. apply refl_equal. % 11.22/11.45 cut (((op (e0) (e1)) = (e2)) = ((op (e0) (op (e0) (e0))) = (e2))). % 11.22/11.45 intro zenon_D_pnotp. % 11.22/11.45 apply zenon_H1c5. % 11.22/11.45 rewrite <- zenon_D_pnotp. % 11.22/11.45 exact zenon_H2c. % 11.22/11.45 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H29]. % 11.22/11.45 cut (((op (e0) (e1)) = (op (e0) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H1c6]. % 11.22/11.45 congruence. % 11.22/11.45 elim (classic ((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [ zenon_intro zenon_Hd4 | zenon_intro zenon_Hd5 ]. % 11.22/11.45 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0)))) = ((op (e0) (e1)) = (op (e0) (op (e0) (e0))))). % 11.22/11.45 intro zenon_D_pnotp. % 11.22/11.45 apply zenon_H1c6. % 11.22/11.45 rewrite <- zenon_D_pnotp. % 11.22/11.45 exact zenon_Hd4. % 11.22/11.45 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_Hd5]. % 11.22/11.45 cut (((op (e0) (op (e0) (e0))) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1c2]. % 11.22/11.45 congruence. % 11.22/11.45 apply (zenon_L226_); trivial. % 11.22/11.45 apply zenon_Hd5. apply refl_equal. % 11.22/11.45 apply zenon_Hd5. apply refl_equal. % 11.22/11.45 apply zenon_H29. apply refl_equal. % 11.22/11.45 apply zenon_Hdc. apply refl_equal. % 11.22/11.45 apply zenon_Hdc. apply refl_equal. % 11.22/11.45 apply zenon_H36. apply refl_equal. % 11.22/11.45 apply zenon_Hdc. apply refl_equal. % 11.22/11.45 apply zenon_Hdc. apply refl_equal. % 11.22/11.45 apply zenon_H1c7. apply sym_equal. exact zenon_H4f. % 11.22/11.45 (* end of lemma zenon_L227_ *) % 11.22/11.45 assert (zenon_L228_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e2) = (e3))) -> ((op (e0) (e0)) = (e1)) -> ((op (e0) (e1)) = (e2)) -> ((op (e3) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False). % 11.22/11.45 do 0 intro. intros zenon_H44 zenon_H38 zenon_H41 zenon_H4f zenon_H2c zenon_Hed zenon_H13a. % 11.22/11.45 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.22/11.45 exact (zenon_H38 zenon_H33). % 11.22/11.45 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.22/11.45 apply (zenon_L65_); trivial. % 11.22/11.45 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.22/11.45 apply (zenon_L227_); trivial. % 11.22/11.45 apply (zenon_L113_); trivial. % 11.22/11.45 (* end of lemma zenon_L228_ *) % 11.22/11.45 assert (zenon_L229_ : (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e3)) -> ((op (e1) (e2)) = (e3)) -> False). % 11.22/11.45 do 0 intro. intros zenon_H10e zenon_H75 zenon_H89. % 11.22/11.45 cut (((op (e1) (e0)) = (e3)) = ((op (e1) (e0)) = (op (e1) (e2)))). % 11.22/11.45 intro zenon_D_pnotp. % 11.22/11.45 apply zenon_H10e. % 11.22/11.45 rewrite <- zenon_D_pnotp. % 11.22/11.45 exact zenon_H75. % 11.22/11.45 cut (((e3) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H127]. % 11.22/11.45 cut (((op (e1) (e0)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H110]. % 11.22/11.45 congruence. % 11.22/11.45 apply zenon_H110. apply refl_equal. % 11.22/11.45 apply zenon_H127. apply sym_equal. exact zenon_H89. % 11.22/11.45 (* end of lemma zenon_L229_ *) % 11.22/11.45 assert (zenon_L230_ : (((op (e3) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e2)) = (e3)) -> False). % 11.22/11.45 do 0 intro. intros zenon_H15f zenon_Heb zenon_Hec. % 11.22/11.45 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_Hed. zenon_intro zenon_H160. % 11.22/11.45 apply (zenon_L74_); trivial. % 11.22/11.45 (* end of lemma zenon_L230_ *) % 11.22/11.45 assert (zenon_L231_ : (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> ((op (e1) (e0)) = (e3)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e3) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> False). % 11.22/11.45 do 0 intro. intros zenon_Hf3 zenon_H34 zenon_Hd0 zenon_H75 zenon_H10e zenon_He2 zenon_H15f zenon_Heb. % 11.22/11.45 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H3b | zenon_intro zenon_Hf4 ]. % 11.22/11.45 apply (zenon_L59_); trivial. % 11.22/11.45 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H89 | zenon_intro zenon_Hf5 ]. % 11.22/11.45 apply (zenon_L229_); trivial. % 11.22/11.45 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_He1 | zenon_intro zenon_Hec ]. % 11.22/11.45 exact (zenon_He2 zenon_He1). % 11.22/11.45 apply (zenon_L230_); trivial. % 11.22/11.45 (* end of lemma zenon_L231_ *) % 11.22/11.45 assert (zenon_L232_ : (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e0)) = (e0)) -> ((op (e1) (e1)) = (e0)) -> False). % 11.22/11.45 do 0 intro. intros zenon_H1ca zenon_H57 zenon_H10c. % 11.22/11.45 cut (((op (e1) (e0)) = (e0)) = ((op (e1) (e0)) = (op (e1) (e1)))). % 11.22/11.45 intro zenon_D_pnotp. % 11.22/11.45 apply zenon_H1ca. % 11.22/11.45 rewrite <- zenon_D_pnotp. % 11.22/11.45 exact zenon_H57. % 11.22/11.45 cut (((e0) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H10d]. % 11.22/11.45 cut (((op (e1) (e0)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H110]. % 11.22/11.45 congruence. % 11.22/11.45 apply zenon_H110. apply refl_equal. % 11.22/11.45 apply zenon_H10d. apply sym_equal. exact zenon_H10c. % 11.22/11.45 (* end of lemma zenon_L232_ *) % 11.22/11.45 assert (zenon_L233_ : ((op (e2) (e0)) = (e2)) -> ((op (e2) (e0)) = (e3)) -> (~((e2) = (e3))) -> False). % 11.22/11.45 do 0 intro. intros zenon_Hb5 zenon_H152 zenon_H41. % 11.22/11.45 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H35 | zenon_intro zenon_H36 ]. % 11.22/11.45 cut (((e3) = (e3)) = ((e2) = (e3))). % 11.22/11.45 intro zenon_D_pnotp. % 11.22/11.45 apply zenon_H41. % 11.22/11.45 rewrite <- zenon_D_pnotp. % 11.22/11.45 exact zenon_H35. % 11.22/11.45 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H36]. % 11.22/11.45 cut (((e3) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H42]. % 11.22/11.45 congruence. % 11.22/11.45 cut (((op (e2) (e0)) = (e2)) = ((e3) = (e2))). % 11.22/11.45 intro zenon_D_pnotp. % 11.22/11.45 apply zenon_H42. % 11.22/11.45 rewrite <- zenon_D_pnotp. % 11.22/11.45 exact zenon_Hb5. % 11.22/11.45 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H29]. % 11.22/11.45 cut (((op (e2) (e0)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H153]. % 11.22/11.45 congruence. % 11.22/11.45 exact (zenon_H153 zenon_H152). % 11.22/11.45 apply zenon_H29. apply refl_equal. % 11.22/11.45 apply zenon_H36. apply refl_equal. % 11.22/11.45 apply zenon_H36. apply refl_equal. % 11.22/11.45 (* end of lemma zenon_L233_ *) % 11.22/11.45 assert (zenon_L234_ : (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e1)) = (e2)) -> ((op (e3) (e1)) = (e2)) -> False). % 11.22/11.45 do 0 intro. intros zenon_H1cb zenon_Hc7 zenon_Ha4. % 11.22/11.45 cut (((op (e2) (e1)) = (e2)) = ((op (e2) (e1)) = (op (e3) (e1)))). % 11.22/11.45 intro zenon_D_pnotp. % 11.22/11.45 apply zenon_H1cb. % 11.22/11.45 rewrite <- zenon_D_pnotp. % 11.22/11.45 exact zenon_Hc7. % 11.22/11.45 cut (((e2) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1cc]. % 11.22/11.45 cut (((op (e2) (e1)) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H14c]. % 11.22/11.45 congruence. % 11.22/11.45 apply zenon_H14c. apply refl_equal. % 11.22/11.45 apply zenon_H1cc. apply sym_equal. exact zenon_Ha4. % 11.22/11.45 (* end of lemma zenon_L234_ *) % 11.22/11.45 assert (zenon_L235_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e3)) -> ((op (e3) (e1)) = (e2)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (e2))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False). % 11.22/11.45 do 0 intro. intros zenon_H1a2 zenon_H41 zenon_H152 zenon_Ha4 zenon_H1cb zenon_H1c1 zenon_H3f zenon_H16e. % 11.22/11.45 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H1a3 ]. % 11.22/11.45 apply (zenon_L233_); trivial. % 11.22/11.45 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H1a4 ]. % 11.22/11.45 apply (zenon_L234_); trivial. % 11.22/11.45 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H5a | zenon_intro zenon_H18a ]. % 11.22/11.45 exact (zenon_H1c1 zenon_H5a). % 11.22/11.45 apply (zenon_L213_); trivial. % 11.22/11.45 (* end of lemma zenon_L235_ *) % 11.22/11.45 assert (zenon_L236_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e0) (e1)) = (e3)) -> (~((op (e1) (e1)) = (e2))) -> ((op (e2) (e1)) = (e0)) -> (~((e0) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e3)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (e2))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False). % 11.22/11.45 do 0 intro. intros zenon_H106 zenon_H39 zenon_H68 zenon_Hcc zenon_H27 zenon_H1a2 zenon_H41 zenon_H152 zenon_H1cb zenon_H1c1 zenon_H3f zenon_H16e. % 11.22/11.45 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H2c | zenon_intro zenon_H109 ]. % 11.22/11.45 apply (zenon_L65_); trivial. % 11.22/11.45 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H6c | zenon_intro zenon_H10a ]. % 11.22/11.45 exact (zenon_H68 zenon_H6c). % 11.22/11.45 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Ha4 ]. % 11.22/11.45 apply (zenon_L164_); trivial. % 11.22/11.45 apply (zenon_L235_); trivial. % 11.22/11.45 (* end of lemma zenon_L236_ *) % 11.22/11.45 assert (zenon_L237_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e0)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> ((op (e3) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False). % 11.22/11.45 do 0 intro. intros zenon_H44 zenon_H38 zenon_He3 zenon_He2 zenon_Hcb zenon_H6e zenon_H167 zenon_H34 zenon_Hd0 zenon_Hed zenon_H13a. % 11.22/11.45 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.22/11.45 exact (zenon_H38 zenon_H33). % 11.22/11.45 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.22/11.45 apply (zenon_L163_); trivial. % 11.22/11.45 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.22/11.45 apply (zenon_L59_); trivial. % 11.22/11.45 apply (zenon_L113_); trivial. % 11.22/11.45 (* end of lemma zenon_L237_ *) % 11.22/11.45 assert (zenon_L238_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e0) = (e3))) -> ((op (e1) (e0)) = (e0)) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> False). % 11.22/11.45 do 0 intro. intros zenon_H161 zenon_H38 zenon_H34 zenon_H57 zenon_H3c zenon_H6f zenon_H15d zenon_Hed. % 11.22/11.45 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ]. % 11.22/11.45 exact (zenon_H38 zenon_H33). % 11.22/11.45 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ]. % 11.22/11.45 apply (zenon_L118_); trivial. % 11.22/11.45 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ]. % 11.22/11.45 apply (zenon_L136_); trivial. % 11.22/11.45 apply (zenon_L141_); trivial. % 11.22/11.45 (* end of lemma zenon_L238_ *) % 11.22/11.45 assert (zenon_L239_ : (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e1)) -> ((op (e2) (e1)) = (e1)) -> False). % 11.22/11.45 do 0 intro. intros zenon_H157 zenon_H56 zenon_Hc5. % 11.22/11.45 cut (((op (e1) (e1)) = (e1)) = ((op (e1) (e1)) = (op (e2) (e1)))). % 11.22/11.45 intro zenon_D_pnotp. % 11.22/11.45 apply zenon_H157. % 11.22/11.45 rewrite <- zenon_D_pnotp. % 11.22/11.45 exact zenon_H56. % 11.22/11.45 cut (((e1) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Hc6]. % 11.22/11.45 cut (((op (e1) (e1)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1bd]. % 11.22/11.45 congruence. % 11.22/11.45 apply zenon_H1bd. apply refl_equal. % 11.22/11.45 apply zenon_Hc6. apply sym_equal. exact zenon_Hc5. % 11.22/11.45 (* end of lemma zenon_L239_ *) % 11.22/11.45 assert (zenon_L240_ : (~((op (e2) (op (e2) (e2))) = (op (e2) (e1)))) -> ((op (e2) (e2)) = (e1)) -> False). % 11.22/11.45 do 0 intro. intros zenon_H1cd zenon_H11f. % 11.22/11.45 cut (((op (e2) (e2)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H11c]. % 11.22/11.45 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H29]. % 11.22/11.45 congruence. % 11.22/11.45 apply zenon_H29. apply refl_equal. % 11.22/11.45 exact (zenon_H11c zenon_H11f). % 11.22/11.45 (* end of lemma zenon_L240_ *) % 11.22/11.45 assert (zenon_L241_ : ((op (e2) (e1)) = (e0)) -> ((op (e2) (e2)) = (e1)) -> (~((e0) = (op (e2) (op (e2) (e2))))) -> False). % 11.22/11.45 do 0 intro. intros zenon_Hcc zenon_H11f zenon_H1ce. % 11.22/11.45 elim (classic ((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [ zenon_intro zenon_H17c | zenon_intro zenon_H17d ]. % 11.22/11.45 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2)))) = ((e0) = (op (e2) (op (e2) (e2))))). % 11.22/11.45 intro zenon_D_pnotp. % 11.22/11.45 apply zenon_H1ce. % 11.22/11.45 rewrite <- zenon_D_pnotp. % 11.22/11.45 exact zenon_H17c. % 11.22/11.45 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H17d]. % 11.22/11.45 cut (((op (e2) (op (e2) (e2))) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1cf]. % 11.22/11.45 congruence. % 11.22/11.45 cut (((op (e2) (e1)) = (e0)) = ((op (e2) (op (e2) (e2))) = (e0))). % 11.22/11.45 intro zenon_D_pnotp. % 11.22/11.45 apply zenon_H1cf. % 11.22/11.45 rewrite <- zenon_D_pnotp. % 11.22/11.45 exact zenon_Hcc. % 11.22/11.45 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d]. % 11.22/11.45 cut (((op (e2) (e1)) = (op (e2) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H1d0]. % 11.22/11.45 congruence. % 11.22/11.45 elim (classic ((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [ zenon_intro zenon_H17c | zenon_intro zenon_H17d ]. % 11.22/11.45 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2)))) = ((op (e2) (e1)) = (op (e2) (op (e2) (e2))))). % 11.22/11.45 intro zenon_D_pnotp. % 11.22/11.45 apply zenon_H1d0. % 11.22/11.45 rewrite <- zenon_D_pnotp. % 11.22/11.45 exact zenon_H17c. % 11.22/11.45 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H17d]. % 11.22/11.45 cut (((op (e2) (op (e2) (e2))) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1cd]. % 11.22/11.45 congruence. % 11.22/11.45 apply (zenon_L240_); trivial. % 11.22/11.45 apply zenon_H17d. apply refl_equal. % 11.22/11.45 apply zenon_H17d. apply refl_equal. % 11.22/11.45 apply zenon_H1d. apply refl_equal. % 11.22/11.45 apply zenon_H17d. apply refl_equal. % 11.22/11.45 apply zenon_H17d. apply refl_equal. % 11.22/11.45 (* end of lemma zenon_L241_ *) % 11.22/11.45 assert (zenon_L242_ : ((op (e2) (e1)) = (e0)) -> ((op (e2) (e0)) = (e3)) -> ((op (e2) (e2)) = (e1)) -> False). % 11.22/11.45 do 0 intro. intros zenon_Hcc zenon_H152 zenon_H11f. % 11.22/11.45 apply (zenon_notand_s _ _ ax11); [ zenon_intro zenon_H1ce | zenon_intro zenon_H1d1 ]. % 11.22/11.45 apply (zenon_L241_); trivial. % 11.22/11.45 apply (zenon_notand_s _ _ zenon_H1d1); [ zenon_intro zenon_H181 | zenon_intro zenon_H19a ]. % 11.22/11.45 elim (classic ((op (e2) (op (e2) (op (e2) (e2)))) = (op (e2) (op (e2) (op (e2) (e2)))))); [ zenon_intro zenon_H182 | zenon_intro zenon_H183 ]. % 11.22/11.45 cut (((op (e2) (op (e2) (op (e2) (e2)))) = (op (e2) (op (e2) (op (e2) (e2))))) = ((e3) = (op (e2) (op (e2) (op (e2) (e2)))))). % 11.22/11.45 intro zenon_D_pnotp. % 11.22/11.45 apply zenon_H181. % 11.22/11.45 rewrite <- zenon_D_pnotp. % 11.22/11.45 exact zenon_H182. % 11.22/11.45 cut (((op (e2) (op (e2) (op (e2) (e2)))) = (op (e2) (op (e2) (op (e2) (e2)))))); [idtac | apply NNPP; zenon_intro zenon_H183]. % 11.22/11.45 cut (((op (e2) (op (e2) (op (e2) (e2)))) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H184]. % 11.22/11.45 congruence. % 11.22/11.45 cut (((op (e2) (e0)) = (e3)) = ((op (e2) (op (e2) (op (e2) (e2)))) = (e3))). % 11.22/11.45 intro zenon_D_pnotp. % 11.22/11.45 apply zenon_H184. % 11.22/11.45 rewrite <- zenon_D_pnotp. % 11.22/11.45 exact zenon_H152. % 11.22/11.45 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H36]. % 11.22/11.45 cut (((op (e2) (e0)) = (op (e2) (op (e2) (op (e2) (e2)))))); [idtac | apply NNPP; zenon_intro zenon_H1d2]. % 11.22/11.45 congruence. % 11.22/11.45 elim (classic ((op (e2) (op (e2) (op (e2) (e2)))) = (op (e2) (op (e2) (op (e2) (e2)))))); [ zenon_intro zenon_H182 | zenon_intro zenon_H183 ]. % 11.22/11.45 cut (((op (e2) (op (e2) (op (e2) (e2)))) = (op (e2) (op (e2) (op (e2) (e2))))) = ((op (e2) (e0)) = (op (e2) (op (e2) (op (e2) (e2)))))). % 11.22/11.45 intro zenon_D_pnotp. % 11.22/11.45 apply zenon_H1d2. % 11.22/11.45 rewrite <- zenon_D_pnotp. % 11.22/11.45 exact zenon_H182. % 11.22/11.45 cut (((op (e2) (op (e2) (op (e2) (e2)))) = (op (e2) (op (e2) (op (e2) (e2)))))); [idtac | apply NNPP; zenon_intro zenon_H183]. % 11.22/11.45 cut (((op (e2) (op (e2) (op (e2) (e2)))) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H1d3]. % 11.22/11.45 congruence. % 11.22/11.45 cut (((op (e2) (op (e2) (e2))) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1cf]. % 11.22/11.45 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H29]. % 11.22/11.45 congruence. % 11.22/11.45 apply zenon_H29. apply refl_equal. % 11.22/11.45 cut (((op (e2) (e1)) = (e0)) = ((op (e2) (op (e2) (e2))) = (e0))). % 11.22/11.45 intro zenon_D_pnotp. % 11.22/11.45 apply zenon_H1cf. % 11.22/11.45 rewrite <- zenon_D_pnotp. % 11.22/11.45 exact zenon_Hcc. % 11.22/11.45 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d]. % 11.22/11.45 cut (((op (e2) (e1)) = (op (e2) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H1d0]. % 11.22/11.45 congruence. % 11.22/11.45 elim (classic ((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [ zenon_intro zenon_H17c | zenon_intro zenon_H17d ]. % 11.22/11.45 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2)))) = ((op (e2) (e1)) = (op (e2) (op (e2) (e2))))). % 11.22/11.45 intro zenon_D_pnotp. % 11.22/11.45 apply zenon_H1d0. % 11.22/11.45 rewrite <- zenon_D_pnotp. % 11.22/11.45 exact zenon_H17c. % 11.22/11.45 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H17d]. % 11.22/11.45 cut (((op (e2) (op (e2) (e2))) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1cd]. % 11.22/11.45 congruence. % 11.22/11.45 apply (zenon_L240_); trivial. % 11.22/11.45 apply zenon_H17d. apply refl_equal. % 11.22/11.45 apply zenon_H17d. apply refl_equal. % 11.22/11.45 apply zenon_H1d. apply refl_equal. % 11.22/11.45 apply zenon_H183. apply refl_equal. % 11.22/11.45 apply zenon_H183. apply refl_equal. % 11.22/11.45 apply zenon_H36. apply refl_equal. % 11.22/11.45 apply zenon_H183. apply refl_equal. % 11.22/11.45 apply zenon_H183. apply refl_equal. % 11.29/11.45 apply zenon_H19a. apply sym_equal. exact zenon_H11f. % 11.29/11.45 (* end of lemma zenon_L242_ *) % 11.29/11.45 assert (zenon_L243_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e2)) -> ((op (e0) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e3))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False). % 11.29/11.45 do 0 intro. intros zenon_H167 zenon_H41 zenon_Hb5 zenon_H39 zenon_Hcb zenon_He2 zenon_Hed zenon_He3. % 11.29/11.45 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H152 | zenon_intro zenon_H168 ]. % 11.29/11.45 apply (zenon_L233_); trivial. % 11.29/11.45 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H145 | zenon_intro zenon_H169 ]. % 11.29/11.45 apply (zenon_L162_); trivial. % 11.29/11.45 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_He1 | zenon_intro zenon_H164 ]. % 11.29/11.45 exact (zenon_He2 zenon_He1). % 11.29/11.45 apply (zenon_L144_); trivial. % 11.29/11.45 (* end of lemma zenon_L243_ *) % 11.29/11.45 assert (zenon_L244_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e2)) -> (~((e2) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> ((op (e3) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False). % 11.29/11.45 do 0 intro. intros zenon_H44 zenon_H38 zenon_He3 zenon_He2 zenon_Hcb zenon_Hb5 zenon_H41 zenon_H167 zenon_H34 zenon_Hd0 zenon_Hed zenon_H13a. % 11.29/11.45 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.29/11.45 exact (zenon_H38 zenon_H33). % 11.29/11.45 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.29/11.45 apply (zenon_L243_); trivial. % 11.29/11.45 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.29/11.45 apply (zenon_L59_); trivial. % 11.29/11.45 apply (zenon_L113_); trivial. % 11.29/11.45 (* end of lemma zenon_L244_ *) % 11.29/11.45 assert (zenon_L245_ : (~((e1) = (e2))) -> ((op (e2) (e3)) = (e2)) -> ((op (e2) (e3)) = (e1)) -> False). % 11.29/11.45 do 0 intro. intros zenon_H30 zenon_H18a zenon_H118. % 11.29/11.45 cut (((op (e2) (e3)) = (e2)) = ((e1) = (e2))). % 11.29/11.45 intro zenon_D_pnotp. % 11.29/11.45 apply zenon_H30. % 11.29/11.45 rewrite <- zenon_D_pnotp. % 11.29/11.45 exact zenon_H18a. % 11.29/11.45 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H29]. % 11.29/11.45 cut (((op (e2) (e3)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H179]. % 11.29/11.45 congruence. % 11.29/11.45 exact (zenon_H179 zenon_H118). % 11.29/11.45 apply zenon_H29. apply refl_equal. % 11.29/11.45 (* end of lemma zenon_L245_ *) % 11.29/11.45 assert (zenon_L246_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((e1) = (e3))) -> ((op (e1) (e0)) = (e0)) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e3)) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e2) (e1)) = (e0)) -> (~((e0) = (e2))) -> (~((op (e2) (e2)) = (e2))) -> (~((e1) = (e2))) -> False). % 11.29/11.45 do 0 intro. intros zenon_H11b zenon_H15d zenon_H3c zenon_H57 zenon_H161 zenon_H56 zenon_H157 zenon_H152 zenon_H1a2 zenon_H13a zenon_Hed zenon_Hd0 zenon_H34 zenon_H167 zenon_H41 zenon_Hcb zenon_He2 zenon_He3 zenon_H38 zenon_H44 zenon_Hcc zenon_H27 zenon_H1c1 zenon_H30. % 11.29/11.45 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H6f | zenon_intro zenon_H11d ]. % 11.29/11.45 apply (zenon_L238_); trivial. % 11.29/11.45 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H11e ]. % 11.29/11.45 apply (zenon_L239_); trivial. % 11.29/11.45 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H11f | zenon_intro zenon_H118 ]. % 11.29/11.45 apply (zenon_L242_); trivial. % 11.29/11.45 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H1a3 ]. % 11.29/11.45 apply (zenon_L244_); trivial. % 11.29/11.45 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H1a4 ]. % 11.29/11.45 apply (zenon_L164_); trivial. % 11.29/11.45 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H5a | zenon_intro zenon_H18a ]. % 11.29/11.45 exact (zenon_H1c1 zenon_H5a). % 11.29/11.45 apply (zenon_L245_); trivial. % 11.29/11.45 (* end of lemma zenon_L246_ *) % 11.29/11.45 assert (zenon_L247_ : ((op (e1) (e3)) = (e1)) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> False). % 11.29/11.45 do 0 intro. intros zenon_H90 zenon_H56 zenon_H14f. % 11.29/11.45 elim (classic ((op (e1) (e3)) = (op (e1) (e3)))); [ zenon_intro zenon_H150 | zenon_intro zenon_H11a ]. % 11.29/11.45 cut (((op (e1) (e3)) = (op (e1) (e3))) = ((op (e1) (e1)) = (op (e1) (e3)))). % 11.29/11.45 intro zenon_D_pnotp. % 11.29/11.45 apply zenon_H14f. % 11.29/11.45 rewrite <- zenon_D_pnotp. % 11.29/11.45 exact zenon_H150. % 11.29/11.45 cut (((op (e1) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H11a]. % 11.29/11.45 cut (((op (e1) (e3)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H151]. % 11.29/11.45 congruence. % 11.29/11.45 cut (((op (e1) (e3)) = (e1)) = ((op (e1) (e3)) = (op (e1) (e1)))). % 11.29/11.45 intro zenon_D_pnotp. % 11.29/11.45 apply zenon_H151. % 11.29/11.45 rewrite <- zenon_D_pnotp. % 11.29/11.45 exact zenon_H90. % 11.29/11.45 cut (((e1) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1d4]. % 11.29/11.45 cut (((op (e1) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H11a]. % 11.29/11.45 congruence. % 11.29/11.45 apply zenon_H11a. apply refl_equal. % 11.29/11.45 apply zenon_H1d4. apply sym_equal. exact zenon_H56. % 11.29/11.45 apply zenon_H11a. apply refl_equal. % 11.29/11.45 apply zenon_H11a. apply refl_equal. % 11.29/11.45 (* end of lemma zenon_L247_ *) % 11.29/11.45 assert (zenon_L248_ : (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> ((op (e3) (e3)) = (e1)) -> False). % 11.29/11.45 do 0 intro. intros zenon_H141 zenon_H90 zenon_He7. % 11.29/11.45 cut (((op (e1) (e3)) = (e1)) = ((op (e1) (e3)) = (op (e3) (e3)))). % 11.29/11.45 intro zenon_D_pnotp. % 11.29/11.45 apply zenon_H141. % 11.29/11.45 rewrite <- zenon_D_pnotp. % 11.29/11.45 exact zenon_H90. % 11.29/11.45 cut (((e1) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_He8]. % 11.29/11.45 cut (((op (e1) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H11a]. % 11.29/11.45 congruence. % 11.29/11.45 apply zenon_H11a. apply refl_equal. % 11.29/11.45 apply zenon_He8. apply sym_equal. exact zenon_He7. % 11.29/11.45 (* end of lemma zenon_L248_ *) % 11.29/11.45 assert (zenon_L249_ : (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e0)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e3) (e3)) = (e1)) -> ((op (e0) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False). % 11.29/11.45 do 0 intro. intros zenon_H154 zenon_H96 zenon_H117 zenon_He7 zenon_H3f zenon_H61 zenon_Hed zenon_H141. % 11.29/11.45 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H7a | zenon_intro zenon_H155 ]. % 11.29/11.45 apply (zenon_L187_); trivial. % 11.29/11.45 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H90 | zenon_intro zenon_H156 ]. % 11.29/11.45 apply (zenon_L248_); trivial. % 11.29/11.45 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H62 | zenon_intro zenon_H8b ]. % 11.29/11.45 apply (zenon_L22_); trivial. % 11.29/11.45 apply (zenon_L120_); trivial. % 11.29/11.45 (* end of lemma zenon_L249_ *) % 11.29/11.45 assert (zenon_L250_ : (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e2))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e0)) = (e1)) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e1)) = (e1)) -> (~((e0) = (e1))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e0)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False). % 11.29/11.45 do 0 intro. intros zenon_H1d5 zenon_H30 zenon_Hd0 zenon_H27 zenon_Hc7 zenon_Hcb zenon_H4f zenon_H49 zenon_H14f zenon_H56 zenon_H20 zenon_H154 zenon_H96 zenon_H117 zenon_H3f zenon_H61 zenon_Hed zenon_H141. % 11.29/11.45 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H47 | zenon_intro zenon_H1d6 ]. % 11.29/11.45 apply (zenon_L169_); trivial. % 11.29/11.45 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H90 | zenon_intro zenon_H1d7 ]. % 11.29/11.45 apply (zenon_L247_); trivial. % 11.29/11.45 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H118 | zenon_intro zenon_He7 ]. % 11.29/11.45 apply (zenon_L166_); trivial. % 11.29/11.45 apply (zenon_L249_); trivial. % 11.29/11.45 (* end of lemma zenon_L250_ *) % 11.29/11.45 assert (zenon_L251_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e0)) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((e0) = (e1))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e0)) -> (~((e1) = (e2))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (e2))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False). % 11.29/11.45 do 0 intro. intros zenon_H1a2 zenon_H41 zenon_H152 zenon_H141 zenon_Hed zenon_H61 zenon_H117 zenon_H96 zenon_H154 zenon_H20 zenon_H56 zenon_H14f zenon_H49 zenon_H4f zenon_Hcb zenon_H27 zenon_Hd0 zenon_H30 zenon_H1d5 zenon_H1c1 zenon_H3f zenon_H16e. % 11.29/11.45 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H1a3 ]. % 11.29/11.45 apply (zenon_L233_); trivial. % 11.29/11.45 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H1a4 ]. % 11.29/11.45 apply (zenon_L250_); trivial. % 11.29/11.45 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H5a | zenon_intro zenon_H18a ]. % 11.29/11.45 exact (zenon_H1c1 zenon_H5a). % 11.29/11.45 apply (zenon_L213_); trivial. % 11.29/11.45 (* end of lemma zenon_L251_ *) % 11.29/11.45 assert (zenon_L252_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e1) (e0)) = (e0)) -> (~((e1) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((e0) = (e1))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e0)) -> (~((e1) = (e2))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (e2))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False). % 11.29/11.45 do 0 intro. intros zenon_Hfa zenon_H44 zenon_H38 zenon_He3 zenon_He2 zenon_H167 zenon_H34 zenon_H13a zenon_H157 zenon_H161 zenon_H57 zenon_H3c zenon_H15d zenon_H11b zenon_H65 zenon_H1a2 zenon_H41 zenon_H152 zenon_H141 zenon_Hed zenon_H61 zenon_H117 zenon_H154 zenon_H20 zenon_H56 zenon_H14f zenon_H49 zenon_H4f zenon_Hcb zenon_H27 zenon_Hd0 zenon_H30 zenon_H1d5 zenon_H1c1 zenon_H3f zenon_H16e. % 11.29/11.45 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H6e | zenon_intro zenon_Hfc ]. % 11.29/11.45 apply (zenon_L237_); trivial. % 11.29/11.45 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hfd ]. % 11.29/11.45 apply (zenon_L246_); trivial. % 11.29/11.45 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hce | zenon_intro zenon_H96 ]. % 11.29/11.45 apply (zenon_L165_); trivial. % 11.29/11.45 apply (zenon_L251_); trivial. % 11.29/11.45 (* end of lemma zenon_L252_ *) % 11.29/11.45 assert (zenon_L253_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e3)) -> (~((op (e1) (e1)) = (e2))) -> ((op (e2) (e1)) = (e1)) -> (~((e1) = (e2))) -> ((op (e3) (e1)) = (e0)) -> (~((e0) = (e2))) -> False). % 11.29/11.45 do 0 intro. intros zenon_H106 zenon_H41 zenon_H39 zenon_H68 zenon_Hc5 zenon_H30 zenon_H120 zenon_H27. % 11.29/11.45 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H2c | zenon_intro zenon_H109 ]. % 11.29/11.45 apply (zenon_L65_); trivial. % 11.29/11.45 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H6c | zenon_intro zenon_H10a ]. % 11.29/11.45 exact (zenon_H68 zenon_H6c). % 11.29/11.45 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Ha4 ]. % 11.29/11.45 apply (zenon_L95_); trivial. % 11.29/11.45 apply (zenon_L98_); trivial. % 11.29/11.45 (* end of lemma zenon_L253_ *) % 11.29/11.45 assert (zenon_L254_ : (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e0)) -> ((op (e3) (e2)) = (e0)) -> False). % 11.29/11.45 do 0 intro. intros zenon_H1d8 zenon_H120 zenon_Hf7. % 11.29/11.45 cut (((op (e3) (e1)) = (e0)) = ((op (e3) (e1)) = (op (e3) (e2)))). % 11.29/11.45 intro zenon_D_pnotp. % 11.29/11.45 apply zenon_H1d8. % 11.29/11.45 rewrite <- zenon_D_pnotp. % 11.29/11.45 exact zenon_H120. % 11.29/11.45 cut (((e0) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hf8]. % 11.29/11.45 cut (((op (e3) (e1)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_He9]. % 11.29/11.45 congruence. % 11.29/11.45 apply zenon_He9. apply refl_equal. % 11.29/11.45 apply zenon_Hf8. apply sym_equal. exact zenon_Hf7. % 11.29/11.45 (* end of lemma zenon_L254_ *) % 11.29/11.45 assert (zenon_L255_ : (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e1)) -> ((op (e3) (e2)) = (e1)) -> False). % 11.29/11.45 do 0 intro. intros zenon_H1d8 zenon_He6 zenon_H1d9. % 11.29/11.45 cut (((op (e3) (e1)) = (e1)) = ((op (e3) (e1)) = (op (e3) (e2)))). % 11.29/11.45 intro zenon_D_pnotp. % 11.29/11.45 apply zenon_H1d8. % 11.29/11.45 rewrite <- zenon_D_pnotp. % 11.29/11.45 exact zenon_He6. % 11.29/11.45 cut (((e1) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H1da]. % 11.29/11.45 cut (((op (e3) (e1)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_He9]. % 11.29/11.45 congruence. % 11.29/11.45 apply zenon_He9. apply refl_equal. % 11.29/11.45 apply zenon_H1da. apply sym_equal. exact zenon_H1d9. % 11.29/11.45 (* end of lemma zenon_L255_ *) % 11.29/11.45 assert (zenon_L256_ : (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e2)) -> ((op (e3) (e2)) = (e2)) -> False). % 11.29/11.45 do 0 intro. intros zenon_Hf6 zenon_H9a zenon_Hae. % 11.29/11.45 cut (((op (e3) (e0)) = (e2)) = ((op (e3) (e0)) = (op (e3) (e2)))). % 11.29/11.45 intro zenon_D_pnotp. % 11.29/11.45 apply zenon_Hf6. % 11.29/11.45 rewrite <- zenon_D_pnotp. % 11.29/11.45 exact zenon_H9a. % 11.29/11.45 cut (((e2) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Haf]. % 11.29/11.45 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hf9]. % 11.29/11.45 congruence. % 11.29/11.45 apply zenon_Hf9. apply refl_equal. % 11.29/11.45 apply zenon_Haf. apply sym_equal. exact zenon_Hae. % 11.29/11.45 (* end of lemma zenon_L256_ *) % 11.29/11.45 assert (zenon_L257_ : (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> ((op (e3) (e1)) = (e0)) -> ((op (e3) (e1)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e3)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> False). % 11.29/11.45 do 0 intro. intros zenon_H1db zenon_H120 zenon_He6 zenon_H1d8 zenon_H9a zenon_Hf6 zenon_H89 zenon_H125. % 11.29/11.45 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H1dc ]. % 11.29/11.45 apply (zenon_L254_); trivial. % 11.29/11.45 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H1d9 | zenon_intro zenon_H1dd ]. % 11.29/11.45 apply (zenon_L255_); trivial. % 11.29/11.45 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_Hae | zenon_intro zenon_Hec ]. % 11.29/11.45 apply (zenon_L256_); trivial. % 11.29/11.45 apply (zenon_L101_); trivial. % 11.29/11.45 (* end of lemma zenon_L257_ *) % 11.29/11.45 assert (zenon_L258_ : (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e0)) -> ((op (e3) (e1)) = (e0)) -> False). % 11.29/11.45 do 0 intro. intros zenon_H16a zenon_Hc3 zenon_H120. % 11.29/11.45 cut (((op (e3) (e0)) = (e0)) = ((op (e3) (e0)) = (op (e3) (e1)))). % 11.29/11.45 intro zenon_D_pnotp. % 11.29/11.45 apply zenon_H16a. % 11.29/11.45 rewrite <- zenon_D_pnotp. % 11.29/11.45 exact zenon_Hc3. % 11.29/11.45 cut (((e0) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1de]. % 11.29/11.45 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hf9]. % 11.29/11.45 congruence. % 11.29/11.45 apply zenon_Hf9. apply refl_equal. % 11.29/11.45 apply zenon_H1de. apply sym_equal. exact zenon_H120. % 11.29/11.45 (* end of lemma zenon_L258_ *) % 11.29/11.45 assert (zenon_L259_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((op (e3) (e1)) = (e0)) -> ((op (e3) (e1)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e3) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> False). % 11.29/11.45 do 0 intro. intros zenon_H1df zenon_H120 zenon_He6 zenon_H16a zenon_Hae zenon_Hf6 zenon_H15f zenon_H15d. % 11.29/11.45 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H1e0 ]. % 11.29/11.45 apply (zenon_L258_); trivial. % 11.29/11.45 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H99 | zenon_intro zenon_H1e1 ]. % 11.29/11.45 apply (zenon_L146_); trivial. % 11.29/11.45 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H9a | zenon_intro zenon_H15e ]. % 11.29/11.45 apply (zenon_L256_); trivial. % 11.29/11.45 apply (zenon_L142_); trivial. % 11.29/11.45 (* end of lemma zenon_L259_ *) % 11.29/11.45 assert (zenon_L260_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e0)) = (e3)) -> (~((e2) = (e3))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e1)) -> ((op (e3) (e1)) = (e0)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e3)) = (e2))) -> False). % 11.29/11.45 do 0 intro. intros zenon_Hb0 zenon_H125 zenon_H89 zenon_H1d8 zenon_H1db zenon_H16e zenon_H3f zenon_H1c1 zenon_H1cb zenon_H152 zenon_H41 zenon_H1a2 zenon_H15d zenon_H15f zenon_Hf6 zenon_H16a zenon_He6 zenon_H120 zenon_H1df zenon_Hb1. % 11.29/11.45 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H9a | zenon_intro zenon_Hb2 ]. % 11.29/11.45 apply (zenon_L257_); trivial. % 11.29/11.45 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Hb3 ]. % 11.29/11.45 apply (zenon_L235_); trivial. % 11.29/11.45 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_Hae | zenon_intro zenon_Hb4 ]. % 11.29/11.45 apply (zenon_L259_); trivial. % 11.29/11.45 exact (zenon_Hb1 zenon_Hb4). % 11.29/11.45 (* end of lemma zenon_L260_ *) % 11.29/11.45 assert (zenon_L261_ : (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e0)) -> ((op (e3) (e0)) = (e0)) -> False). % 11.29/11.45 do 0 intro. intros zenon_H1e2 zenon_H25 zenon_Hc3. % 11.29/11.45 cut (((op (e0) (e0)) = (e0)) = ((op (e0) (e0)) = (op (e3) (e0)))). % 11.29/11.45 intro zenon_D_pnotp. % 11.29/11.45 apply zenon_H1e2. % 11.29/11.45 rewrite <- zenon_D_pnotp. % 11.29/11.45 exact zenon_H25. % 11.29/11.45 cut (((e0) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H1e3]. % 11.29/11.45 cut (((op (e0) (e0)) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H188]. % 11.29/11.45 congruence. % 11.29/11.45 apply zenon_H188. apply refl_equal. % 11.29/11.45 apply zenon_H1e3. apply sym_equal. exact zenon_Hc3. % 11.29/11.45 (* end of lemma zenon_L261_ *) % 11.29/11.45 assert (zenon_L262_ : (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e1)) -> ((op (e3) (e3)) = (e1)) -> False). % 11.29/11.45 do 0 intro. intros zenon_H15d zenon_H99 zenon_He7. % 11.29/11.45 cut (((op (e3) (e0)) = (e1)) = ((op (e3) (e0)) = (op (e3) (e3)))). % 11.29/11.45 intro zenon_D_pnotp. % 11.29/11.45 apply zenon_H15d. % 11.29/11.45 rewrite <- zenon_D_pnotp. % 11.29/11.45 exact zenon_H99. % 11.29/11.45 cut (((e1) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_He8]. % 11.29/11.45 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hf9]. % 11.29/11.45 congruence. % 11.29/11.45 apply zenon_Hf9. apply refl_equal. % 11.29/11.45 apply zenon_He8. apply sym_equal. exact zenon_He7. % 11.29/11.45 (* end of lemma zenon_L262_ *) % 11.29/11.45 assert (zenon_L263_ : (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> ((op (e3) (e0)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e2)) = (e3)) -> False). % 11.29/11.45 do 0 intro. intros zenon_Hf0 zenon_H9e zenon_H99 zenon_H15d zenon_Hb1 zenon_Heb zenon_Hec. % 11.29/11.45 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf1 ]. % 11.29/11.45 exact (zenon_H9e zenon_H9d). % 11.29/11.45 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_He7 | zenon_intro zenon_Hf2 ]. % 11.29/11.45 apply (zenon_L262_); trivial. % 11.29/11.45 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_Hb4 | zenon_intro zenon_Hed ]. % 11.29/11.45 exact (zenon_Hb1 zenon_Hb4). % 11.29/11.45 apply (zenon_L74_); trivial. % 11.29/11.45 (* end of lemma zenon_L263_ *) % 11.29/11.45 assert (zenon_L264_ : (~((op (e3) (op (e3) (e3))) = (op (e3) (e1)))) -> ((op (e3) (e3)) = (e1)) -> False). % 11.29/11.45 do 0 intro. intros zenon_H1e4 zenon_He7. % 11.29/11.45 cut (((op (e3) (e3)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H1e5]. % 11.29/11.45 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H36]. % 11.29/11.46 congruence. % 11.29/11.46 apply zenon_H36. apply refl_equal. % 11.29/11.46 exact (zenon_H1e5 zenon_He7). % 11.29/11.46 (* end of lemma zenon_L264_ *) % 11.29/11.46 assert (zenon_L265_ : ((op (e3) (e1)) = (e0)) -> ((op (e3) (e3)) = (e1)) -> (~((e0) = (op (e3) (op (e3) (e3))))) -> False). % 11.29/11.46 do 0 intro. intros zenon_H120 zenon_He7 zenon_H1e6. % 11.29/11.46 elim (classic ((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [ zenon_intro zenon_Ha0 | zenon_intro zenon_Ha1 ]. % 11.29/11.46 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3)))) = ((e0) = (op (e3) (op (e3) (e3))))). % 11.29/11.46 intro zenon_D_pnotp. % 11.29/11.46 apply zenon_H1e6. % 11.29/11.46 rewrite <- zenon_D_pnotp. % 11.29/11.46 exact zenon_Ha0. % 11.29/11.46 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_Ha1]. % 11.29/11.46 cut (((op (e3) (op (e3) (e3))) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1e7]. % 11.29/11.46 congruence. % 11.29/11.46 cut (((op (e3) (e1)) = (e0)) = ((op (e3) (op (e3) (e3))) = (e0))). % 11.29/11.46 intro zenon_D_pnotp. % 11.29/11.46 apply zenon_H1e7. % 11.29/11.46 rewrite <- zenon_D_pnotp. % 11.29/11.46 exact zenon_H120. % 11.29/11.46 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d]. % 11.29/11.46 cut (((op (e3) (e1)) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H1e8]. % 11.29/11.46 congruence. % 11.29/11.46 elim (classic ((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [ zenon_intro zenon_Ha0 | zenon_intro zenon_Ha1 ]. % 11.29/11.46 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3)))) = ((op (e3) (e1)) = (op (e3) (op (e3) (e3))))). % 11.29/11.46 intro zenon_D_pnotp. % 11.29/11.46 apply zenon_H1e8. % 11.29/11.46 rewrite <- zenon_D_pnotp. % 11.29/11.46 exact zenon_Ha0. % 11.29/11.46 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_Ha1]. % 11.29/11.46 cut (((op (e3) (op (e3) (e3))) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1e4]. % 11.29/11.46 congruence. % 11.29/11.46 apply (zenon_L264_); trivial. % 11.29/11.46 apply zenon_Ha1. apply refl_equal. % 11.29/11.46 apply zenon_Ha1. apply refl_equal. % 11.29/11.46 apply zenon_H1d. apply refl_equal. % 11.29/11.46 apply zenon_Ha1. apply refl_equal. % 11.29/11.46 apply zenon_Ha1. apply refl_equal. % 11.29/11.46 (* end of lemma zenon_L265_ *) % 11.29/11.46 assert (zenon_L266_ : ((op (e3) (e1)) = (e0)) -> ((op (e3) (e0)) = (e2)) -> ((op (e3) (e3)) = (e1)) -> False). % 11.29/11.46 do 0 intro. intros zenon_H120 zenon_H9a zenon_He7. % 11.29/11.46 apply (zenon_notand_s _ _ ax9); [ zenon_intro zenon_H1e6 | zenon_intro zenon_H1e9 ]. % 11.29/11.46 apply (zenon_L265_); trivial. % 11.29/11.46 apply (zenon_notand_s _ _ zenon_H1e9); [ zenon_intro zenon_Ha7 | zenon_intro zenon_He8 ]. % 11.29/11.46 elim (classic ((op (e3) (op (e3) (op (e3) (e3)))) = (op (e3) (op (e3) (op (e3) (e3)))))); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Ha9 ]. % 11.29/11.46 cut (((op (e3) (op (e3) (op (e3) (e3)))) = (op (e3) (op (e3) (op (e3) (e3))))) = ((e2) = (op (e3) (op (e3) (op (e3) (e3)))))). % 11.29/11.46 intro zenon_D_pnotp. % 11.29/11.46 apply zenon_Ha7. % 11.29/11.46 rewrite <- zenon_D_pnotp. % 11.29/11.46 exact zenon_Ha8. % 11.29/11.46 cut (((op (e3) (op (e3) (op (e3) (e3)))) = (op (e3) (op (e3) (op (e3) (e3)))))); [idtac | apply NNPP; zenon_intro zenon_Ha9]. % 11.29/11.46 cut (((op (e3) (op (e3) (op (e3) (e3)))) = (e2))); [idtac | apply NNPP; zenon_intro zenon_Haa]. % 11.29/11.46 congruence. % 11.29/11.46 cut (((op (e3) (e0)) = (e2)) = ((op (e3) (op (e3) (op (e3) (e3)))) = (e2))). % 11.29/11.46 intro zenon_D_pnotp. % 11.29/11.46 apply zenon_Haa. % 11.29/11.46 rewrite <- zenon_D_pnotp. % 11.29/11.46 exact zenon_H9a. % 11.29/11.46 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H29]. % 11.29/11.46 cut (((op (e3) (e0)) = (op (e3) (op (e3) (op (e3) (e3)))))); [idtac | apply NNPP; zenon_intro zenon_H1ea]. % 11.29/11.46 congruence. % 11.29/11.46 elim (classic ((op (e3) (op (e3) (op (e3) (e3)))) = (op (e3) (op (e3) (op (e3) (e3)))))); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Ha9 ]. % 11.29/11.46 cut (((op (e3) (op (e3) (op (e3) (e3)))) = (op (e3) (op (e3) (op (e3) (e3))))) = ((op (e3) (e0)) = (op (e3) (op (e3) (op (e3) (e3)))))). % 11.29/11.46 intro zenon_D_pnotp. % 11.29/11.46 apply zenon_H1ea. % 11.29/11.46 rewrite <- zenon_D_pnotp. % 11.29/11.46 exact zenon_Ha8. % 11.29/11.46 cut (((op (e3) (op (e3) (op (e3) (e3)))) = (op (e3) (op (e3) (op (e3) (e3)))))); [idtac | apply NNPP; zenon_intro zenon_Ha9]. % 11.29/11.46 cut (((op (e3) (op (e3) (op (e3) (e3)))) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H1eb]. % 11.29/11.46 congruence. % 11.29/11.46 cut (((op (e3) (op (e3) (e3))) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1e7]. % 11.29/11.46 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H36]. % 11.29/11.46 congruence. % 11.29/11.46 apply zenon_H36. apply refl_equal. % 11.29/11.46 cut (((op (e3) (e1)) = (e0)) = ((op (e3) (op (e3) (e3))) = (e0))). % 11.29/11.46 intro zenon_D_pnotp. % 11.29/11.46 apply zenon_H1e7. % 11.29/11.46 rewrite <- zenon_D_pnotp. % 11.29/11.46 exact zenon_H120. % 11.29/11.46 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d]. % 11.29/11.46 cut (((op (e3) (e1)) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H1e8]. % 11.29/11.46 congruence. % 11.29/11.46 elim (classic ((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [ zenon_intro zenon_Ha0 | zenon_intro zenon_Ha1 ]. % 11.29/11.46 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3)))) = ((op (e3) (e1)) = (op (e3) (op (e3) (e3))))). % 11.29/11.46 intro zenon_D_pnotp. % 11.29/11.46 apply zenon_H1e8. % 11.29/11.46 rewrite <- zenon_D_pnotp. % 11.29/11.46 exact zenon_Ha0. % 11.29/11.46 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_Ha1]. % 11.29/11.46 cut (((op (e3) (op (e3) (e3))) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1e4]. % 11.29/11.46 congruence. % 11.29/11.46 apply (zenon_L264_); trivial. % 11.29/11.46 apply zenon_Ha1. apply refl_equal. % 11.29/11.46 apply zenon_Ha1. apply refl_equal. % 11.29/11.46 apply zenon_H1d. apply refl_equal. % 11.29/11.46 apply zenon_Ha9. apply refl_equal. % 11.29/11.46 apply zenon_Ha9. apply refl_equal. % 11.29/11.46 apply zenon_H29. apply refl_equal. % 11.29/11.46 apply zenon_Ha9. apply refl_equal. % 11.29/11.46 apply zenon_Ha9. apply refl_equal. % 11.29/11.46 apply zenon_He8. apply sym_equal. exact zenon_He7. % 11.29/11.46 (* end of lemma zenon_L266_ *) % 11.29/11.46 assert (zenon_L267_ : (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> ((op (e3) (e0)) = (e2)) -> ((op (e3) (e1)) = (e0)) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e2)) = (e3)) -> False). % 11.29/11.46 do 0 intro. intros zenon_Hf0 zenon_H9e zenon_H9a zenon_H120 zenon_Hb1 zenon_Heb zenon_Hec. % 11.29/11.46 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf1 ]. % 11.29/11.46 exact (zenon_H9e zenon_H9d). % 11.29/11.46 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_He7 | zenon_intro zenon_Hf2 ]. % 11.29/11.46 apply (zenon_L266_); trivial. % 11.29/11.46 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_Hb4 | zenon_intro zenon_Hed ]. % 11.29/11.46 exact (zenon_Hb1 zenon_Hb4). % 11.29/11.46 apply (zenon_L74_); trivial. % 11.29/11.46 (* end of lemma zenon_L267_ *) % 11.29/11.46 assert (zenon_L268_ : (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e2)) -> ((op (e3) (e1)) = (e2)) -> False). % 11.29/11.46 do 0 intro. intros zenon_H16a zenon_H9a zenon_Ha4. % 11.29/11.46 cut (((op (e3) (e0)) = (e2)) = ((op (e3) (e0)) = (op (e3) (e1)))). % 11.29/11.46 intro zenon_D_pnotp. % 11.29/11.46 apply zenon_H16a. % 11.29/11.46 rewrite <- zenon_D_pnotp. % 11.29/11.46 exact zenon_H9a. % 11.29/11.46 cut (((e2) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1cc]. % 11.29/11.46 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hf9]. % 11.29/11.46 congruence. % 11.29/11.46 apply zenon_Hf9. apply refl_equal. % 11.29/11.46 apply zenon_H1cc. apply sym_equal. exact zenon_Ha4. % 11.29/11.46 (* end of lemma zenon_L268_ *) % 11.29/11.46 assert (zenon_L269_ : ((op (e3) (e2)) = (e3)) -> ((op (e3) (e0)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> False). % 11.29/11.46 do 0 intro. intros zenon_Hec zenon_H15e zenon_Hf6. % 11.29/11.46 elim (classic ((op (e3) (e2)) = (op (e3) (e2)))); [ zenon_intro zenon_H102 | zenon_intro zenon_Hef ]. % 11.29/11.46 cut (((op (e3) (e2)) = (op (e3) (e2))) = ((op (e3) (e0)) = (op (e3) (e2)))). % 11.29/11.46 intro zenon_D_pnotp. % 11.29/11.46 apply zenon_Hf6. % 11.29/11.46 rewrite <- zenon_D_pnotp. % 11.29/11.46 exact zenon_H102. % 11.29/11.46 cut (((op (e3) (e2)) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hef]. % 11.29/11.46 cut (((op (e3) (e2)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H1ec]. % 11.29/11.46 congruence. % 11.29/11.46 cut (((op (e3) (e2)) = (e3)) = ((op (e3) (e2)) = (op (e3) (e0)))). % 11.29/11.46 intro zenon_D_pnotp. % 11.29/11.46 apply zenon_H1ec. % 11.29/11.46 rewrite <- zenon_D_pnotp. % 11.29/11.46 exact zenon_Hec. % 11.29/11.46 cut (((e3) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H1ed]. % 11.29/11.46 cut (((op (e3) (e2)) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hef]. % 11.29/11.46 congruence. % 11.29/11.46 apply zenon_Hef. apply refl_equal. % 11.29/11.46 apply zenon_H1ed. apply sym_equal. exact zenon_H15e. % 11.29/11.46 apply zenon_Hef. apply refl_equal. % 11.29/11.46 apply zenon_Hef. apply refl_equal. % 11.29/11.46 (* end of lemma zenon_L269_ *) % 11.29/11.46 assert (zenon_L270_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e1)) = (e1)) -> ((op (e3) (e1)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> False). % 11.29/11.46 do 0 intro. intros zenon_H1df zenon_H25 zenon_H1e2 zenon_He6 zenon_Ha4 zenon_H16a zenon_Hec zenon_Hf6. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H1e0 ]. % 11.29/11.46 apply (zenon_L261_); trivial. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H99 | zenon_intro zenon_H1e1 ]. % 11.29/11.46 apply (zenon_L146_); trivial. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H9a | zenon_intro zenon_H15e ]. % 11.29/11.46 apply (zenon_L268_); trivial. % 11.29/11.46 apply (zenon_L269_); trivial. % 11.29/11.46 (* end of lemma zenon_L270_ *) % 11.29/11.46 assert (zenon_L271_ : (~((e2) = (e3))) -> ((op (e3) (e2)) = (e3)) -> ((op (e3) (e2)) = (e2)) -> False). % 11.29/11.46 do 0 intro. intros zenon_H41 zenon_Hec zenon_Hae. % 11.29/11.46 cut (((op (e3) (e2)) = (e3)) = ((e2) = (e3))). % 11.29/11.46 intro zenon_D_pnotp. % 11.29/11.46 apply zenon_H41. % 11.29/11.46 rewrite <- zenon_D_pnotp. % 11.29/11.46 exact zenon_Hec. % 11.29/11.46 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H36]. % 11.29/11.46 cut (((op (e3) (e2)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H1ee]. % 11.29/11.46 congruence. % 11.29/11.46 exact (zenon_H1ee zenon_Hae). % 11.29/11.46 apply zenon_H36. apply refl_equal. % 11.29/11.46 (* end of lemma zenon_L271_ *) % 11.29/11.46 assert (zenon_L272_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e0)) -> (~((op (e3) (e3)) = (e0))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e0)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((op (e3) (e2)) = (e3)) -> (~((e2) = (e3))) -> (~((op (e3) (e3)) = (e2))) -> False). % 11.29/11.46 do 0 intro. intros zenon_Hb0 zenon_Heb zenon_H120 zenon_H9e zenon_Hf0 zenon_Hf6 zenon_H16a zenon_He6 zenon_H1e2 zenon_H25 zenon_H1df zenon_Hec zenon_H41 zenon_Hb1. % 11.29/11.46 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H9a | zenon_intro zenon_Hb2 ]. % 11.29/11.46 apply (zenon_L267_); trivial. % 11.29/11.46 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Hb3 ]. % 11.29/11.46 apply (zenon_L270_); trivial. % 11.29/11.46 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_Hae | zenon_intro zenon_Hb4 ]. % 11.29/11.46 apply (zenon_L271_); trivial. % 11.29/11.46 exact (zenon_Hb1 zenon_Hb4). % 11.29/11.46 (* end of lemma zenon_L272_ *) % 11.29/11.46 assert (zenon_L273_ : (~((e1) = (e3))) -> ((op (e3) (e2)) = (e3)) -> ((op (e3) (e2)) = (e1)) -> False). % 11.29/11.46 do 0 intro. intros zenon_H3c zenon_Hec zenon_H1d9. % 11.29/11.46 cut (((op (e3) (e2)) = (e3)) = ((e1) = (e3))). % 11.29/11.46 intro zenon_D_pnotp. % 11.29/11.46 apply zenon_H3c. % 11.29/11.46 rewrite <- zenon_D_pnotp. % 11.29/11.46 exact zenon_Hec. % 11.29/11.46 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H36]. % 11.29/11.46 cut (((op (e3) (e2)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H1ef]. % 11.29/11.46 congruence. % 11.29/11.46 exact (zenon_H1ef zenon_H1d9). % 11.29/11.46 apply zenon_H36. apply refl_equal. % 11.29/11.46 (* end of lemma zenon_L273_ *) % 11.29/11.46 assert (zenon_L274_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e1)) -> ((op (e3) (e1)) = (e0)) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> False). % 11.29/11.46 do 0 intro. intros zenon_H1df zenon_H25 zenon_H1e2 zenon_H15d zenon_He7 zenon_H120 zenon_Hec zenon_Hf6. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H1e0 ]. % 11.29/11.46 apply (zenon_L261_); trivial. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H99 | zenon_intro zenon_H1e1 ]. % 11.29/11.46 apply (zenon_L262_); trivial. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H9a | zenon_intro zenon_H15e ]. % 11.29/11.46 apply (zenon_L266_); trivial. % 11.29/11.46 apply (zenon_L269_); trivial. % 11.29/11.46 (* end of lemma zenon_L274_ *) % 11.29/11.46 assert (zenon_L275_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e2))) -> (~((e2) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e0)) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> False). % 11.29/11.46 do 0 intro. intros zenon_H1f0 zenon_Hb1 zenon_H41 zenon_H16a zenon_Hf0 zenon_H9e zenon_Heb zenon_Hb0 zenon_H3c zenon_H1df zenon_H25 zenon_H1e2 zenon_H15d zenon_H120 zenon_Hec zenon_Hf6. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H99 | zenon_intro zenon_H1f1 ]. % 11.29/11.46 apply (zenon_L263_); trivial. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_He6 | zenon_intro zenon_H1f2 ]. % 11.29/11.46 apply (zenon_L272_); trivial. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H1d9 | zenon_intro zenon_He7 ]. % 11.29/11.46 apply (zenon_L273_); trivial. % 11.29/11.46 apply (zenon_L274_); trivial. % 11.29/11.46 (* end of lemma zenon_L275_ *) % 11.29/11.46 assert (zenon_L276_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e3) (e3)) = (e0)) -> ((op (e3) (e0)) = (e1)) -> ((op (e3) (e2)) = (e3)) -> (~((e2) = (e3))) -> (~((op (e3) (e3)) = (e2))) -> False). % 11.29/11.46 do 0 intro. intros zenon_Hb0 zenon_H30 zenon_H9d zenon_H99 zenon_Hec zenon_H41 zenon_Hb1. % 11.29/11.46 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H9a | zenon_intro zenon_Hb2 ]. % 11.29/11.46 apply (zenon_L41_); trivial. % 11.29/11.46 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Hb3 ]. % 11.29/11.46 apply (zenon_L45_); trivial. % 11.29/11.46 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_Hae | zenon_intro zenon_Hb4 ]. % 11.29/11.46 apply (zenon_L271_); trivial. % 11.29/11.46 exact (zenon_Hb1 zenon_Hb4). % 11.29/11.46 (* end of lemma zenon_L276_ *) % 11.29/11.46 assert (zenon_L277_ : (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e1)) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e2)) = (e3)) -> False). % 11.29/11.46 do 0 intro. intros zenon_Hf0 zenon_H41 zenon_H99 zenon_H30 zenon_Hb0 zenon_H1e5 zenon_Hb1 zenon_Heb zenon_Hec. % 11.29/11.46 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf1 ]. % 11.29/11.46 apply (zenon_L276_); trivial. % 11.29/11.46 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_He7 | zenon_intro zenon_Hf2 ]. % 11.29/11.46 exact (zenon_H1e5 zenon_He7). % 11.29/11.46 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_Hb4 | zenon_intro zenon_Hed ]. % 11.29/11.46 exact (zenon_Hb1 zenon_Hb4). % 11.29/11.46 apply (zenon_L74_); trivial. % 11.29/11.46 (* end of lemma zenon_L277_ *) % 11.29/11.46 assert (zenon_L278_ : (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e1)) -> ((op (e3) (e1)) = (e1)) -> False). % 11.29/11.46 do 0 intro. intros zenon_H1f3 zenon_H56 zenon_He6. % 11.29/11.46 cut (((op (e1) (e1)) = (e1)) = ((op (e1) (e1)) = (op (e3) (e1)))). % 11.29/11.46 intro zenon_D_pnotp. % 11.29/11.46 apply zenon_H1f3. % 11.29/11.46 rewrite <- zenon_D_pnotp. % 11.29/11.46 exact zenon_H56. % 11.29/11.46 cut (((e1) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H16b]. % 11.29/11.46 cut (((op (e1) (e1)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1bd]. % 11.29/11.46 congruence. % 11.29/11.46 apply zenon_H1bd. apply refl_equal. % 11.29/11.46 apply zenon_H16b. apply sym_equal. exact zenon_He6. % 11.29/11.46 (* end of lemma zenon_L278_ *) % 11.29/11.46 assert (zenon_L279_ : ((op (e3) (e2)) = (e3)) -> ((op (e3) (e1)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> False). % 11.29/11.46 do 0 intro. intros zenon_Hec zenon_H147 zenon_H1d8. % 11.29/11.46 elim (classic ((op (e3) (e2)) = (op (e3) (e2)))); [ zenon_intro zenon_H102 | zenon_intro zenon_Hef ]. % 11.29/11.46 cut (((op (e3) (e2)) = (op (e3) (e2))) = ((op (e3) (e1)) = (op (e3) (e2)))). % 11.29/11.46 intro zenon_D_pnotp. % 11.29/11.46 apply zenon_H1d8. % 11.29/11.46 rewrite <- zenon_D_pnotp. % 11.29/11.46 exact zenon_H102. % 11.29/11.46 cut (((op (e3) (e2)) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hef]. % 11.29/11.46 cut (((op (e3) (e2)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1f4]. % 11.29/11.46 congruence. % 11.29/11.46 cut (((op (e3) (e2)) = (e3)) = ((op (e3) (e2)) = (op (e3) (e1)))). % 11.29/11.46 intro zenon_D_pnotp. % 11.29/11.46 apply zenon_H1f4. % 11.29/11.46 rewrite <- zenon_D_pnotp. % 11.29/11.46 exact zenon_Hec. % 11.29/11.46 cut (((e3) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1f5]. % 11.29/11.46 cut (((op (e3) (e2)) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hef]. % 11.29/11.46 congruence. % 11.29/11.46 apply zenon_Hef. apply refl_equal. % 11.29/11.46 apply zenon_H1f5. apply sym_equal. exact zenon_H147. % 11.29/11.46 apply zenon_Hef. apply refl_equal. % 11.29/11.46 apply zenon_Hef. apply refl_equal. % 11.29/11.46 (* end of lemma zenon_L279_ *) % 11.29/11.46 assert (zenon_L280_ : ((((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))\/((((op (e1) (e1)) = (e1))/\(((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0)))/\(((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1)))/\(((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2)))/\((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3)))))))\/((((op (e2) (e2)) = (e2))/\(((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0)))/\(((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3)))))))\/(((op (e3) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3)))))))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e2))) -> (~((e2) = (e3))) -> (~((e1) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e2)) = (e3)) -> False). % 11.29/11.46 do 0 intro. intros zenon_H1b0 zenon_H122 zenon_H34 zenon_H15d zenon_H16a zenon_Hf6 zenon_H1df zenon_H1e2 zenon_H1f0 zenon_H3c zenon_H1f3 zenon_Hb0 zenon_Hb1 zenon_H41 zenon_H30 zenon_Hf0 zenon_H1d8 zenon_H1c1 zenon_Heb zenon_Hec. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H51 | zenon_intro zenon_H1b1 ]. % 11.29/11.46 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H25. zenon_intro zenon_H52. % 11.29/11.46 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H1f7. zenon_intro zenon_H1f6. % 11.29/11.46 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H1f9. zenon_intro zenon_H1f8. % 11.29/11.46 apply (zenon_and_s _ _ zenon_H1f8). zenon_intro zenon_H1fb. zenon_intro zenon_H1fa. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H9e | zenon_intro zenon_H15e ]. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H123 ]. % 11.29/11.46 apply (zenon_L261_); trivial. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H120 | zenon_intro zenon_H124 ]. % 11.29/11.46 apply (zenon_L275_); trivial. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H9d ]. % 11.29/11.46 apply (zenon_L89_); trivial. % 11.29/11.46 exact (zenon_H9e zenon_H9d). % 11.29/11.46 apply (zenon_L269_); trivial. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H53 | zenon_intro zenon_H1b2 ]. % 11.29/11.46 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H56. zenon_intro zenon_H55. % 11.29/11.46 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H1c0. zenon_intro zenon_H1bf. % 11.29/11.46 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_H1fd. zenon_intro zenon_H1fc. % 11.29/11.46 apply (zenon_and_s _ _ zenon_H1fc). zenon_intro zenon_H1ff. zenon_intro zenon_H1fe. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e5 | zenon_intro zenon_H147 ]. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H99 | zenon_intro zenon_H1f1 ]. % 11.29/11.46 apply (zenon_L277_); trivial. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_He6 | zenon_intro zenon_H1f2 ]. % 11.29/11.46 apply (zenon_L278_); trivial. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H1d9 | zenon_intro zenon_He7 ]. % 11.29/11.46 apply (zenon_L273_); trivial. % 11.29/11.46 exact (zenon_H1e5 zenon_He7). % 11.29/11.46 apply (zenon_L279_); trivial. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H132 | zenon_intro zenon_H15f ]. % 11.29/11.46 apply (zenon_L225_); trivial. % 11.29/11.46 apply (zenon_L230_); trivial. % 11.29/11.46 (* end of lemma zenon_L280_ *) % 11.29/11.46 assert (zenon_L281_ : ((~((op (e3) (e3)) = (e2)))\/(~((op (e3) (e2)) = (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((e1) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> ((((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))\/((((op (e1) (e1)) = (e1))/\(((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0)))/\(((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1)))/\(((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2)))/\((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3)))))))\/((((op (e2) (e2)) = (e2))/\(((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0)))/\(((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3)))))))\/(((op (e3) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3)))))))))) -> False). % 11.29/11.46 do 0 intro. intros zenon_H200 zenon_H122 zenon_H34 zenon_Hf0 zenon_Hec zenon_Heb zenon_H15d zenon_Hb0 zenon_H41 zenon_H16a zenon_Hf6 zenon_H1df zenon_H3c zenon_H1f0 zenon_H1e2 zenon_H1f3 zenon_H30 zenon_H1d8 zenon_H1c1 zenon_H1b0. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H201 ]. % 11.29/11.46 apply (zenon_L280_); trivial. % 11.29/11.46 exact (zenon_H201 zenon_Hec). % 11.29/11.46 (* end of lemma zenon_L281_ *) % 11.29/11.46 assert (zenon_L282_ : ((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2)))) -> ((((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))\/((((op (e1) (e1)) = (e1))/\(((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0)))/\(((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1)))/\(((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2)))/\((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3)))))))\/((((op (e2) (e2)) = (e2))/\(((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0)))/\(((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3)))))))\/(((op (e3) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3)))))))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e2)) = (e3)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((~((op (e3) (e3)) = (e2)))\/(~((op (e3) (e2)) = (e3)))) -> False). % 11.29/11.46 do 0 intro. intros zenon_H202 zenon_H1b0 zenon_H1d8 zenon_H30 zenon_H1f3 zenon_H1e2 zenon_H1f0 zenon_H3c zenon_H1df zenon_Hf6 zenon_H16a zenon_H41 zenon_Hb0 zenon_H15d zenon_Heb zenon_Hec zenon_Hf0 zenon_H34 zenon_H122 zenon_H200. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1c1 ]. % 11.29/11.46 apply (zenon_L281_); trivial. % 11.29/11.46 apply (zenon_L281_); trivial. % 11.29/11.46 (* end of lemma zenon_L282_ *) % 11.29/11.46 assert (zenon_L283_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> ((op (e0) (e3)) = (e2)) -> (~((e2) = (e3))) -> False). % 11.29/11.46 do 0 intro. intros zenon_H44 zenon_H38 zenon_H3c zenon_H1f zenon_H34 zenon_Hd0 zenon_H3f zenon_H41. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.29/11.46 exact (zenon_H38 zenon_H33). % 11.29/11.46 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.29/11.46 apply (zenon_L130_); trivial. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.29/11.46 apply (zenon_L59_); trivial. % 11.29/11.46 apply (zenon_L11_); trivial. % 11.29/11.46 (* end of lemma zenon_L283_ *) % 11.29/11.46 assert (zenon_L284_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e1) = (e2))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((e2) = (e3))) -> False). % 11.29/11.46 do 0 intro. intros zenon_H49 zenon_H2b zenon_H30 zenon_H13a zenon_Hed zenon_H44 zenon_H38 zenon_H3c zenon_H1f zenon_H34 zenon_Hd0 zenon_H41. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.29/11.46 exact (zenon_H2b zenon_H26). % 11.29/11.46 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.29/11.46 apply (zenon_L211_); trivial. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.29/11.46 apply (zenon_L212_); trivial. % 11.29/11.46 apply (zenon_L283_); trivial. % 11.29/11.46 (* end of lemma zenon_L284_ *) % 11.29/11.46 assert (zenon_L285_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e2)) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e3))) -> False). % 11.29/11.46 do 0 intro. intros zenon_H44 zenon_H38 zenon_H41 zenon_H2c zenon_H34 zenon_Hd0 zenon_H47 zenon_H3c. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.29/11.46 exact (zenon_H38 zenon_H33). % 11.29/11.46 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.29/11.46 apply (zenon_L65_); trivial. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.29/11.46 apply (zenon_L59_); trivial. % 11.29/11.46 apply (zenon_L14_); trivial. % 11.29/11.46 (* end of lemma zenon_L285_ *) % 11.29/11.46 assert (zenon_L286_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e0)) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e2))) -> False). % 11.29/11.46 do 0 intro. intros zenon_H49 zenon_H2b zenon_H3c zenon_H34 zenon_H41 zenon_H38 zenon_H44 zenon_H27 zenon_Hd0 zenon_H47 zenon_H30. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.29/11.46 exact (zenon_H2b zenon_H26). % 11.29/11.46 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.29/11.46 apply (zenon_L285_); trivial. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.29/11.46 apply (zenon_L57_); trivial. % 11.29/11.46 apply (zenon_L15_); trivial. % 11.29/11.46 (* end of lemma zenon_L286_ *) % 11.29/11.46 assert (zenon_L287_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((~((op (e3) (e3)) = (e2)))\/(~((op (e3) (e2)) = (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))\/((((op (e1) (e1)) = (e1))/\(((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0)))/\(((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1)))/\(((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2)))/\((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3)))))))\/((((op (e2) (e2)) = (e2))/\(((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0)))/\(((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3)))))))\/(((op (e3) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3)))))))))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2)))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e2))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e1)) = (e2))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e1) (e0)) = (e0)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e3) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e0)) -> (~((e1) = (e2))) -> False). % 11.29/11.46 do 0 intro. intros zenon_H4c zenon_H10e zenon_H200 zenon_H122 zenon_Hf0 zenon_Heb zenon_Hb0 zenon_H16a zenon_Hf6 zenon_H1df zenon_H1f0 zenon_H1e2 zenon_H1f3 zenon_H1d8 zenon_H1b0 zenon_H202 zenon_He2 zenon_H125 zenon_H1db zenon_H16e zenon_H1c1 zenon_H1cb zenon_H1a2 zenon_Hb1 zenon_Hf3 zenon_H106 zenon_H68 zenon_Hfa zenon_He3 zenon_H167 zenon_H157 zenon_H161 zenon_H57 zenon_H11b zenon_H65 zenon_H141 zenon_H61 zenon_H117 zenon_H154 zenon_H14f zenon_Hcb zenon_H1d5 zenon_H105 zenon_H1ca zenon_H203 zenon_H15f zenon_H15d zenon_Hed zenon_H13a zenon_H20 zenon_H49 zenon_H2b zenon_H3c zenon_H34 zenon_H41 zenon_H38 zenon_H44 zenon_H27 zenon_Hd0 zenon_H30. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.29/11.46 exact (zenon_H2b zenon_H26). % 11.29/11.46 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.29/11.46 apply (zenon_L228_); trivial. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.29/11.46 apply (zenon_L57_); trivial. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.29/11.46 exact (zenon_H38 zenon_H33). % 11.29/11.46 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ]. % 11.29/11.46 exact (zenon_H38 zenon_H33). % 11.29/11.46 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ]. % 11.29/11.46 apply (zenon_L231_); trivial. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ]. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H1e | zenon_intro zenon_H204 ]. % 11.29/11.46 apply (zenon_L8_); trivial. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H10c | zenon_intro zenon_H205 ]. % 11.29/11.46 apply (zenon_L232_); trivial. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_Hcc | zenon_intro zenon_H120 ]. % 11.29/11.46 apply (zenon_L236_); trivial. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H1f | zenon_intro zenon_H107 ]. % 11.29/11.46 apply (zenon_L130_); trivial. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H56 | zenon_intro zenon_H108 ]. % 11.29/11.46 apply (zenon_L252_); trivial. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hc5 | zenon_intro zenon_He6 ]. % 11.29/11.46 apply (zenon_L253_); trivial. % 11.29/11.46 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H3b | zenon_intro zenon_Hf4 ]. % 11.29/11.46 apply (zenon_L59_); trivial. % 11.29/11.46 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H89 | zenon_intro zenon_Hf5 ]. % 11.29/11.46 apply (zenon_L260_); trivial. % 11.29/11.46 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_He1 | zenon_intro zenon_Hec ]. % 11.29/11.46 exact (zenon_He2 zenon_He1). % 11.29/11.46 apply (zenon_L282_); trivial. % 11.29/11.46 apply (zenon_L142_); trivial. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.29/11.46 apply (zenon_L59_); trivial. % 11.29/11.46 apply (zenon_L113_); trivial. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.29/11.46 apply (zenon_L284_); trivial. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.29/11.46 apply (zenon_L61_); trivial. % 11.29/11.46 apply (zenon_L286_); trivial. % 11.29/11.46 (* end of lemma zenon_L287_ *) % 11.29/11.46 assert (zenon_L288_ : (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e0) = (e3))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e0)) = (e3)) -> (~((e2) = (e3))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e1) (e1)) = (e2))) -> ((op (e0) (e1)) = (e3)) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e0)) -> False). % 11.29/11.46 do 0 intro. intros zenon_H203 zenon_H34 zenon_H57 zenon_H1ca zenon_H16e zenon_H3f zenon_H1c1 zenon_H1cb zenon_H152 zenon_H41 zenon_H1a2 zenon_H27 zenon_H68 zenon_H39 zenon_H106 zenon_H16a zenon_Hc3. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H1e | zenon_intro zenon_H204 ]. % 11.29/11.46 apply (zenon_L8_); trivial. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H10c | zenon_intro zenon_H205 ]. % 11.29/11.46 apply (zenon_L232_); trivial. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_Hcc | zenon_intro zenon_H120 ]. % 11.29/11.46 apply (zenon_L236_); trivial. % 11.29/11.46 apply (zenon_L258_); trivial. % 11.29/11.46 (* end of lemma zenon_L288_ *) % 11.29/11.46 assert (zenon_L289_ : (~((op (e1) (op (e1) (e1))) = (op (e1) (e0)))) -> ((op (e1) (e1)) = (e0)) -> False). % 11.29/11.46 do 0 intro. intros zenon_H206 zenon_H10c. % 11.29/11.46 cut (((op (e1) (e1)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H207]. % 11.29/11.46 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H22]. % 11.29/11.46 congruence. % 11.29/11.46 apply zenon_H22. apply refl_equal. % 11.29/11.46 exact (zenon_H207 zenon_H10c). % 11.29/11.46 (* end of lemma zenon_L289_ *) % 11.29/11.46 assert (zenon_L290_ : ((op (e1) (e0)) = (e2)) -> ((op (e1) (e1)) = (e0)) -> (~((e2) = (op (e1) (op (e1) (e1))))) -> False). % 11.29/11.46 do 0 intro. intros zenon_H58 zenon_H10c zenon_H208. % 11.29/11.46 elim (classic ((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [ zenon_intro zenon_H7c | zenon_intro zenon_H7d ]. % 11.29/11.46 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1)))) = ((e2) = (op (e1) (op (e1) (e1))))). % 11.29/11.46 intro zenon_D_pnotp. % 11.29/11.46 apply zenon_H208. % 11.29/11.46 rewrite <- zenon_D_pnotp. % 11.29/11.46 exact zenon_H7c. % 11.29/11.46 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H7d]. % 11.29/11.46 cut (((op (e1) (op (e1) (e1))) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H209]. % 11.29/11.46 congruence. % 11.29/11.46 cut (((op (e1) (e0)) = (e2)) = ((op (e1) (op (e1) (e1))) = (e2))). % 11.29/11.46 intro zenon_D_pnotp. % 11.29/11.46 apply zenon_H209. % 11.29/11.46 rewrite <- zenon_D_pnotp. % 11.29/11.46 exact zenon_H58. % 11.29/11.46 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H29]. % 11.29/11.46 cut (((op (e1) (e0)) = (op (e1) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H20a]. % 11.29/11.46 congruence. % 11.29/11.46 elim (classic ((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [ zenon_intro zenon_H7c | zenon_intro zenon_H7d ]. % 11.29/11.46 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1)))) = ((op (e1) (e0)) = (op (e1) (op (e1) (e1))))). % 11.29/11.46 intro zenon_D_pnotp. % 11.29/11.46 apply zenon_H20a. % 11.29/11.46 rewrite <- zenon_D_pnotp. % 11.29/11.46 exact zenon_H7c. % 11.29/11.46 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H7d]. % 11.29/11.46 cut (((op (e1) (op (e1) (e1))) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H206]. % 11.29/11.46 congruence. % 11.29/11.46 apply (zenon_L289_); trivial. % 11.29/11.46 apply zenon_H7d. apply refl_equal. % 11.29/11.46 apply zenon_H7d. apply refl_equal. % 11.29/11.46 apply zenon_H29. apply refl_equal. % 11.29/11.46 apply zenon_H7d. apply refl_equal. % 11.29/11.46 apply zenon_H7d. apply refl_equal. % 11.29/11.46 (* end of lemma zenon_L290_ *) % 11.29/11.46 assert (zenon_L291_ : ((op (e1) (e0)) = (e2)) -> ((op (e1) (e2)) = (e3)) -> ((op (e1) (e1)) = (e0)) -> False). % 11.29/11.46 do 0 intro. intros zenon_H58 zenon_H89 zenon_H10c. % 11.29/11.46 apply (zenon_notand_s _ _ ax23); [ zenon_intro zenon_H208 | zenon_intro zenon_H20b ]. % 11.29/11.46 apply (zenon_L290_); trivial. % 11.29/11.46 apply (zenon_notand_s _ _ zenon_H20b); [ zenon_intro zenon_H20c | zenon_intro zenon_H10d ]. % 11.29/11.46 elim (classic ((op (e1) (op (e1) (op (e1) (e1)))) = (op (e1) (op (e1) (op (e1) (e1)))))); [ zenon_intro zenon_H83 | zenon_intro zenon_H84 ]. % 11.29/11.46 cut (((op (e1) (op (e1) (op (e1) (e1)))) = (op (e1) (op (e1) (op (e1) (e1))))) = ((e3) = (op (e1) (op (e1) (op (e1) (e1)))))). % 11.29/11.46 intro zenon_D_pnotp. % 11.29/11.46 apply zenon_H20c. % 11.29/11.46 rewrite <- zenon_D_pnotp. % 11.29/11.46 exact zenon_H83. % 11.29/11.46 cut (((op (e1) (op (e1) (op (e1) (e1)))) = (op (e1) (op (e1) (op (e1) (e1)))))); [idtac | apply NNPP; zenon_intro zenon_H84]. % 11.29/11.46 cut (((op (e1) (op (e1) (op (e1) (e1)))) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H20d]. % 11.29/11.46 congruence. % 11.29/11.46 cut (((op (e1) (e2)) = (e3)) = ((op (e1) (op (e1) (op (e1) (e1)))) = (e3))). % 11.29/11.46 intro zenon_D_pnotp. % 11.29/11.46 apply zenon_H20d. % 11.29/11.46 rewrite <- zenon_D_pnotp. % 11.29/11.46 exact zenon_H89. % 11.29/11.46 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H36]. % 11.29/11.46 cut (((op (e1) (e2)) = (op (e1) (op (e1) (op (e1) (e1)))))); [idtac | apply NNPP; zenon_intro zenon_H20e]. % 11.29/11.46 congruence. % 11.29/11.46 elim (classic ((op (e1) (op (e1) (op (e1) (e1)))) = (op (e1) (op (e1) (op (e1) (e1)))))); [ zenon_intro zenon_H83 | zenon_intro zenon_H84 ]. % 11.29/11.46 cut (((op (e1) (op (e1) (op (e1) (e1)))) = (op (e1) (op (e1) (op (e1) (e1))))) = ((op (e1) (e2)) = (op (e1) (op (e1) (op (e1) (e1)))))). % 11.29/11.46 intro zenon_D_pnotp. % 11.29/11.46 apply zenon_H20e. % 11.29/11.46 rewrite <- zenon_D_pnotp. % 11.29/11.46 exact zenon_H83. % 11.29/11.46 cut (((op (e1) (op (e1) (op (e1) (e1)))) = (op (e1) (op (e1) (op (e1) (e1)))))); [idtac | apply NNPP; zenon_intro zenon_H84]. % 11.29/11.46 cut (((op (e1) (op (e1) (op (e1) (e1)))) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H20f]. % 11.29/11.46 congruence. % 11.29/11.46 cut (((op (e1) (op (e1) (e1))) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H209]. % 11.29/11.46 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H22]. % 11.29/11.46 congruence. % 11.29/11.46 apply zenon_H22. apply refl_equal. % 11.29/11.46 cut (((op (e1) (e0)) = (e2)) = ((op (e1) (op (e1) (e1))) = (e2))). % 11.29/11.46 intro zenon_D_pnotp. % 11.29/11.46 apply zenon_H209. % 11.29/11.46 rewrite <- zenon_D_pnotp. % 11.29/11.46 exact zenon_H58. % 11.29/11.46 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H29]. % 11.29/11.46 cut (((op (e1) (e0)) = (op (e1) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H20a]. % 11.29/11.46 congruence. % 11.29/11.46 elim (classic ((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [ zenon_intro zenon_H7c | zenon_intro zenon_H7d ]. % 11.29/11.46 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1)))) = ((op (e1) (e0)) = (op (e1) (op (e1) (e1))))). % 11.29/11.46 intro zenon_D_pnotp. % 11.29/11.46 apply zenon_H20a. % 11.29/11.46 rewrite <- zenon_D_pnotp. % 11.29/11.46 exact zenon_H7c. % 11.29/11.46 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H7d]. % 11.29/11.46 cut (((op (e1) (op (e1) (e1))) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H206]. % 11.29/11.46 congruence. % 11.29/11.46 apply (zenon_L289_); trivial. % 11.29/11.46 apply zenon_H7d. apply refl_equal. % 11.29/11.46 apply zenon_H7d. apply refl_equal. % 11.29/11.46 apply zenon_H29. apply refl_equal. % 11.29/11.46 apply zenon_H84. apply refl_equal. % 11.29/11.46 apply zenon_H84. apply refl_equal. % 11.29/11.46 apply zenon_H36. apply refl_equal. % 11.29/11.46 apply zenon_H84. apply refl_equal. % 11.29/11.46 apply zenon_H84. apply refl_equal. % 11.29/11.46 apply zenon_H10d. apply sym_equal. exact zenon_H10c. % 11.29/11.46 (* end of lemma zenon_L291_ *) % 11.29/11.46 assert (zenon_L292_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e1) (e1)) = (e3))) -> ((op (e1) (e1)) = (e0)) -> ((op (e1) (e0)) = (e2)) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False). % 11.29/11.46 do 0 intro. intros zenon_H8d zenon_H41 zenon_H79 zenon_H10c zenon_H58 zenon_Hed zenon_H141. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H75 | zenon_intro zenon_H8e ]. % 11.29/11.46 apply (zenon_L31_); trivial. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H78 | zenon_intro zenon_H8f ]. % 11.29/11.46 exact (zenon_H79 zenon_H78). % 11.29/11.46 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H8b ]. % 11.29/11.46 apply (zenon_L291_); trivial. % 11.29/11.46 apply (zenon_L120_); trivial. % 11.29/11.46 (* end of lemma zenon_L292_ *) % 11.29/11.46 assert (zenon_L293_ : (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e0)) -> ((op (e1) (e2)) = (e0)) -> False). % 11.29/11.46 do 0 intro. intros zenon_H13f zenon_Hd0 zenon_He0. % 11.29/11.46 cut (((op (e0) (e2)) = (e0)) = ((op (e0) (e2)) = (op (e1) (e2)))). % 11.29/11.46 intro zenon_D_pnotp. % 11.29/11.46 apply zenon_H13f. % 11.29/11.46 rewrite <- zenon_D_pnotp. % 11.29/11.46 exact zenon_Hd0. % 11.29/11.46 cut (((e0) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H10f]. % 11.29/11.46 cut (((op (e0) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H140]. % 11.29/11.46 congruence. % 11.29/11.46 apply zenon_H140. apply refl_equal. % 11.29/11.46 apply zenon_H10f. apply sym_equal. exact zenon_He0. % 11.29/11.46 (* end of lemma zenon_L293_ *) % 11.29/11.46 assert (zenon_L294_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (e2))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (e3))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e0)) -> (~((e1) = (e2))) -> False). % 11.29/11.46 do 0 intro. intros zenon_H4c zenon_Hc3 zenon_He3 zenon_He2 zenon_Hcb zenon_H167 zenon_H15d zenon_H113 zenon_H1ca zenon_H141 zenon_H79 zenon_H8d zenon_H13f zenon_H203 zenon_H14f zenon_H16e zenon_H1c1 zenon_H1cb zenon_H1a2 zenon_H68 zenon_H106 zenon_H16a zenon_H161 zenon_Hb8 zenon_H38 zenon_Hed zenon_H13a zenon_H20 zenon_H49 zenon_H2b zenon_H3c zenon_H34 zenon_H41 zenon_H44 zenon_H27 zenon_Hd0 zenon_H30. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.29/11.46 exact (zenon_H2b zenon_H26). % 11.29/11.46 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.29/11.46 apply (zenon_L228_); trivial. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.29/11.46 apply (zenon_L57_); trivial. % 11.29/11.46 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ]. % 11.29/11.46 exact (zenon_H2b zenon_H26). % 11.29/11.46 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ]. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.29/11.46 exact (zenon_H38 zenon_H33). % 11.29/11.46 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ]. % 11.29/11.46 exact (zenon_H38 zenon_H33). % 11.29/11.46 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ]. % 11.29/11.46 apply (zenon_L31_); trivial. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ]. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ]. % 11.29/11.46 apply (zenon_L288_); trivial. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ]. % 11.29/11.46 apply (zenon_L292_); trivial. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ]. % 11.29/11.46 apply (zenon_L293_); trivial. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H1e | zenon_intro zenon_H204 ]. % 11.29/11.46 apply (zenon_L8_); trivial. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H10c | zenon_intro zenon_H205 ]. % 11.29/11.46 apply (zenon_L135_); trivial. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_Hcc | zenon_intro zenon_H120 ]. % 11.29/11.46 apply (zenon_L236_); trivial. % 11.29/11.46 apply (zenon_L258_); trivial. % 11.29/11.46 apply (zenon_L141_); trivial. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.29/11.46 apply (zenon_L59_); trivial. % 11.29/11.46 apply (zenon_L11_); trivial. % 11.29/11.46 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ]. % 11.29/11.46 apply (zenon_L244_); trivial. % 11.29/11.46 apply (zenon_L51_); trivial. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.29/11.46 apply (zenon_L284_); trivial. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.29/11.46 apply (zenon_L61_); trivial. % 11.29/11.46 apply (zenon_L67_); trivial. % 11.29/11.46 (* end of lemma zenon_L294_ *) % 11.29/11.46 assert (zenon_L295_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> ((op (e3) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e0)) -> (~((e1) = (e2))) -> False). % 11.29/11.46 do 0 intro. intros zenon_H4c zenon_H16e zenon_H18a zenon_Hed zenon_H13a zenon_H20 zenon_H49 zenon_H2b zenon_H3c zenon_H34 zenon_H41 zenon_H38 zenon_H44 zenon_H27 zenon_Hd0 zenon_H30. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.29/11.46 exact (zenon_H2b zenon_H26). % 11.29/11.46 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.29/11.46 apply (zenon_L228_); trivial. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.29/11.46 apply (zenon_L57_); trivial. % 11.29/11.46 apply (zenon_L213_); trivial. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.29/11.46 apply (zenon_L284_); trivial. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.29/11.46 apply (zenon_L61_); trivial. % 11.29/11.46 apply (zenon_L286_); trivial. % 11.29/11.46 (* end of lemma zenon_L295_ *) % 11.29/11.46 assert (zenon_L296_ : (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e0) (e2)) = (e0)) -> ((op (e1) (e1)) = (e0)) -> ((op (e1) (e0)) = (e2)) -> (~((op (e2) (e2)) = (e3))) -> ((((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))\/((((op (e1) (e1)) = (e1))/\(((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0)))/\(((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1)))/\(((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2)))/\((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3)))))))\/((((op (e2) (e2)) = (e2))/\(((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0)))/\(((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3)))))))\/(((op (e3) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3)))))))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e2))) -> (~((e2) = (e3))) -> (~((e1) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> False). % 11.29/11.46 do 0 intro. intros zenon_Hf3 zenon_Hd0 zenon_H10c zenon_H58 zenon_He2 zenon_H1b0 zenon_H122 zenon_H34 zenon_H15d zenon_H16a zenon_Hf6 zenon_H1df zenon_H1e2 zenon_H1f0 zenon_H3c zenon_H1f3 zenon_Hb0 zenon_Hb1 zenon_H41 zenon_H30 zenon_Hf0 zenon_H1d8 zenon_H1c1 zenon_Heb. % 11.29/11.46 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H3b | zenon_intro zenon_Hf4 ]. % 11.29/11.46 apply (zenon_L59_); trivial. % 11.29/11.46 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H89 | zenon_intro zenon_Hf5 ]. % 11.29/11.46 apply (zenon_L291_); trivial. % 11.29/11.46 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_He1 | zenon_intro zenon_Hec ]. % 11.29/11.46 exact (zenon_He2 zenon_He1). % 11.29/11.46 apply (zenon_L280_); trivial. % 11.29/11.46 (* end of lemma zenon_L296_ *) % 11.29/11.46 assert (zenon_L297_ : (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e0) (e2)) = (e0)) -> ((op (e0) (e3)) = (e0)) -> False). % 11.29/11.46 do 0 intro. intros zenon_H210 zenon_Hd0 zenon_H72. % 11.29/11.46 cut (((op (e0) (e2)) = (e0)) = ((op (e0) (e2)) = (op (e0) (e3)))). % 11.29/11.46 intro zenon_D_pnotp. % 11.29/11.46 apply zenon_H210. % 11.29/11.46 rewrite <- zenon_D_pnotp. % 11.29/11.46 exact zenon_Hd0. % 11.29/11.46 cut (((e0) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H73]. % 11.29/11.46 cut (((op (e0) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H140]. % 11.29/11.46 congruence. % 11.29/11.46 apply zenon_H140. apply refl_equal. % 11.29/11.46 apply zenon_H73. apply sym_equal. exact zenon_H72. % 11.29/11.46 (* end of lemma zenon_L297_ *) % 11.29/11.46 assert (zenon_L298_ : (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e0) (e0)) = (e0)) -> ((op (e1) (e0)) = (e0)) -> False). % 11.29/11.46 do 0 intro. intros zenon_H187 zenon_H25 zenon_H57. % 11.29/11.46 cut (((op (e0) (e0)) = (e0)) = ((op (e0) (e0)) = (op (e1) (e0)))). % 11.29/11.46 intro zenon_D_pnotp. % 11.29/11.46 apply zenon_H187. % 11.29/11.46 rewrite <- zenon_D_pnotp. % 11.29/11.46 exact zenon_H25. % 11.29/11.46 cut (((e0) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H211]. % 11.29/11.46 cut (((op (e0) (e0)) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H188]. % 11.29/11.46 congruence. % 11.29/11.46 apply zenon_H188. apply refl_equal. % 11.29/11.46 apply zenon_H211. apply sym_equal. exact zenon_H57. % 11.29/11.46 (* end of lemma zenon_L298_ *) % 11.29/11.46 assert (zenon_L299_ : ((op (e3) (e0)) = (e3)) -> ((op (e1) (e0)) = (e3)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> False). % 11.29/11.46 do 0 intro. intros zenon_H15e zenon_H75 zenon_H212. % 11.29/11.46 elim (classic ((op (e3) (e0)) = (op (e3) (e0)))); [ zenon_intro zenon_H213 | zenon_intro zenon_Hf9 ]. % 11.29/11.46 cut (((op (e3) (e0)) = (op (e3) (e0))) = ((op (e1) (e0)) = (op (e3) (e0)))). % 11.29/11.46 intro zenon_D_pnotp. % 11.29/11.46 apply zenon_H212. % 11.29/11.46 rewrite <- zenon_D_pnotp. % 11.29/11.46 exact zenon_H213. % 11.29/11.46 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hf9]. % 11.29/11.46 cut (((op (e3) (e0)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H214]. % 11.29/11.46 congruence. % 11.29/11.46 cut (((op (e3) (e0)) = (e3)) = ((op (e3) (e0)) = (op (e1) (e0)))). % 11.29/11.46 intro zenon_D_pnotp. % 11.29/11.46 apply zenon_H214. % 11.29/11.46 rewrite <- zenon_D_pnotp. % 11.29/11.46 exact zenon_H15e. % 11.29/11.46 cut (((e3) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H215]. % 11.29/11.46 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hf9]. % 11.29/11.46 congruence. % 11.29/11.46 apply zenon_Hf9. apply refl_equal. % 11.29/11.46 apply zenon_H215. apply sym_equal. exact zenon_H75. % 11.29/11.46 apply zenon_Hf9. apply refl_equal. % 11.29/11.46 apply zenon_Hf9. apply refl_equal. % 11.29/11.46 (* end of lemma zenon_L299_ *) % 11.29/11.46 assert (zenon_L300_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e3)) -> ((op (e1) (e0)) = (e2)) -> (~((e1) = (e3))) -> ((op (e1) (e2)) = (e1)) -> ((op (e1) (e3)) = (e0)) -> (~((e0) = (e3))) -> False). % 11.29/11.46 do 0 intro. intros zenon_H8d zenon_H212 zenon_H15e zenon_H58 zenon_H3c zenon_H88 zenon_H7a zenon_H34. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H75 | zenon_intro zenon_H8e ]. % 11.29/11.46 apply (zenon_L299_); trivial. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H78 | zenon_intro zenon_H8f ]. % 11.29/11.46 apply (zenon_L34_); trivial. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H8b ]. % 11.29/11.46 apply (zenon_L35_); trivial. % 11.29/11.46 apply (zenon_L36_); trivial. % 11.29/11.46 (* end of lemma zenon_L300_ *) % 11.29/11.46 assert (zenon_L301_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e1) (e1)) = (e0))) -> (~((e0) = (e1))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e3)) -> ((op (e1) (e0)) = (e2)) -> (~((e1) = (e3))) -> ((op (e1) (e2)) = (e1)) -> (~((e0) = (e3))) -> False). % 11.29/11.46 do 0 intro. intros zenon_H113 zenon_H25 zenon_H187 zenon_H207 zenon_H20 zenon_H8d zenon_H212 zenon_H15e zenon_H58 zenon_H3c zenon_H88 zenon_H34. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ]. % 11.29/11.46 apply (zenon_L298_); trivial. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ]. % 11.29/11.46 exact (zenon_H207 zenon_H10c). % 11.29/11.46 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ]. % 11.29/11.46 apply (zenon_L92_); trivial. % 11.29/11.46 apply (zenon_L300_); trivial. % 11.29/11.46 (* end of lemma zenon_L301_ *) % 11.29/11.46 assert (zenon_L302_ : (~((e2) = (e3))) -> ((op (e3) (e0)) = (e3)) -> ((op (e3) (e0)) = (e2)) -> False). % 11.29/11.46 do 0 intro. intros zenon_H41 zenon_H15e zenon_H9a. % 11.29/11.46 cut (((op (e3) (e0)) = (e3)) = ((e2) = (e3))). % 11.29/11.46 intro zenon_D_pnotp. % 11.29/11.46 apply zenon_H41. % 11.29/11.46 rewrite <- zenon_D_pnotp. % 11.29/11.46 exact zenon_H15e. % 11.29/11.46 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H36]. % 11.29/11.46 cut (((op (e3) (e0)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H9b]. % 11.29/11.46 congruence. % 11.29/11.46 exact (zenon_H9b zenon_H9a). % 11.29/11.46 apply zenon_H36. apply refl_equal. % 11.29/11.46 (* end of lemma zenon_L302_ *) % 11.29/11.46 assert (zenon_L303_ : (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e0) = (e2))) -> (~((e0) = (e3))) -> ((op (e1) (e2)) = (e1)) -> (~((e1) = (e3))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e0) = (e1))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e0) (e0)) = (e0)) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((op (e2) (e0)) = (e1)) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e3)) -> False). % 11.29/11.46 do 0 intro. intros zenon_Hb8 zenon_H27 zenon_H34 zenon_H88 zenon_H3c zenon_H212 zenon_H8d zenon_H20 zenon_H207 zenon_H187 zenon_H25 zenon_H113 zenon_H6f zenon_H30 zenon_H41 zenon_H15e. % 11.29/11.46 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ]. % 11.29/11.46 apply (zenon_L3_); trivial. % 11.29/11.46 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ]. % 11.29/11.46 apply (zenon_L301_); trivial. % 11.29/11.46 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ]. % 11.29/11.46 apply (zenon_L108_); trivial. % 11.29/11.46 apply (zenon_L302_); trivial. % 11.29/11.46 (* end of lemma zenon_L303_ *) % 11.29/11.46 assert (zenon_L304_ : ((op (e1) (e2)) = (e1)) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> False). % 11.29/11.46 do 0 intro. intros zenon_H88 zenon_H56 zenon_H216. % 11.29/11.46 elim (classic ((op (e1) (e2)) = (op (e1) (e2)))); [ zenon_intro zenon_H129 | zenon_intro zenon_H12a ]. % 11.29/11.46 cut (((op (e1) (e2)) = (op (e1) (e2))) = ((op (e1) (e1)) = (op (e1) (e2)))). % 11.29/11.46 intro zenon_D_pnotp. % 11.29/11.46 apply zenon_H216. % 11.29/11.46 rewrite <- zenon_D_pnotp. % 11.29/11.46 exact zenon_H129. % 11.29/11.46 cut (((op (e1) (e2)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H12a]. % 11.29/11.46 cut (((op (e1) (e2)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H217]. % 11.29/11.46 congruence. % 11.29/11.46 cut (((op (e1) (e2)) = (e1)) = ((op (e1) (e2)) = (op (e1) (e1)))). % 11.29/11.46 intro zenon_D_pnotp. % 11.29/11.46 apply zenon_H217. % 11.29/11.46 rewrite <- zenon_D_pnotp. % 11.29/11.46 exact zenon_H88. % 11.29/11.46 cut (((e1) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1d4]. % 11.29/11.46 cut (((op (e1) (e2)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H12a]. % 11.29/11.46 congruence. % 11.29/11.46 apply zenon_H12a. apply refl_equal. % 11.29/11.46 apply zenon_H1d4. apply sym_equal. exact zenon_H56. % 11.29/11.46 apply zenon_H12a. apply refl_equal. % 11.29/11.46 apply zenon_H12a. apply refl_equal. % 11.29/11.46 (* end of lemma zenon_L304_ *) % 11.29/11.46 assert (zenon_L305_ : (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e0)) = (e3)) -> ((op (e1) (e1)) = (e3)) -> False). % 11.29/11.46 do 0 intro. intros zenon_H1ca zenon_H75 zenon_H78. % 11.29/11.46 cut (((op (e1) (e0)) = (e3)) = ((op (e1) (e0)) = (op (e1) (e1)))). % 11.29/11.46 intro zenon_D_pnotp. % 11.29/11.46 apply zenon_H1ca. % 11.29/11.46 rewrite <- zenon_D_pnotp. % 11.29/11.46 exact zenon_H75. % 11.29/11.46 cut (((e3) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H81]. % 11.29/11.46 cut (((op (e1) (e0)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H110]. % 11.29/11.46 congruence. % 11.29/11.46 apply zenon_H110. apply refl_equal. % 11.29/11.46 apply zenon_H81. apply sym_equal. exact zenon_H78. % 11.29/11.46 (* end of lemma zenon_L305_ *) % 11.29/11.46 assert (zenon_L306_ : (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e0)) = (e3)) -> False). % 11.29/11.46 do 0 intro. intros zenon_H15a zenon_H207 zenon_H216 zenon_H88 zenon_H68 zenon_H1ca zenon_H75. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H10c | zenon_intro zenon_H15b ]. % 11.29/11.46 exact (zenon_H207 zenon_H10c). % 11.29/11.46 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H56 | zenon_intro zenon_H15c ]. % 11.29/11.46 apply (zenon_L304_); trivial. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_H6c | zenon_intro zenon_H78 ]. % 11.29/11.46 exact (zenon_H68 zenon_H6c). % 11.29/11.46 apply (zenon_L305_); trivial. % 11.29/11.46 (* end of lemma zenon_L306_ *) % 11.29/11.46 assert (zenon_L307_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e2))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e1)) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e2)) -> False). % 11.29/11.46 do 0 intro. intros zenon_H161 zenon_H34 zenon_H25 zenon_H1ca zenon_H68 zenon_H88 zenon_H216 zenon_H207 zenon_H15a zenon_H3c zenon_H6f zenon_H41 zenon_H9a. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ]. % 11.29/11.46 apply (zenon_L7_); trivial. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ]. % 11.29/11.46 apply (zenon_L306_); trivial. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ]. % 11.29/11.46 apply (zenon_L136_); trivial. % 11.29/11.46 apply (zenon_L302_); trivial. % 11.29/11.46 (* end of lemma zenon_L307_ *) % 11.29/11.46 assert (zenon_L308_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((e0) = (e1))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e2))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e1)) -> (~((e2) = (e3))) -> False). % 11.29/11.46 do 0 intro. intros zenon_H113 zenon_H187 zenon_H20 zenon_H8d zenon_H212 zenon_H27 zenon_Hb8 zenon_H30 zenon_H161 zenon_H34 zenon_H25 zenon_H1ca zenon_H68 zenon_H88 zenon_H216 zenon_H207 zenon_H15a zenon_H3c zenon_H6f zenon_H41. % 11.29/11.46 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ]. % 11.29/11.46 apply (zenon_L3_); trivial. % 11.29/11.46 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ]. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ]. % 11.29/11.46 apply (zenon_L7_); trivial. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ]. % 11.29/11.46 apply (zenon_L31_); trivial. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ]. % 11.29/11.46 apply (zenon_L136_); trivial. % 11.29/11.46 apply (zenon_L303_); trivial. % 11.29/11.46 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ]. % 11.29/11.46 apply (zenon_L108_); trivial. % 11.29/11.46 apply (zenon_L307_); trivial. % 11.29/11.46 (* end of lemma zenon_L308_ *) % 11.29/11.46 assert (zenon_L309_ : (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e0))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e0)) = (e3)) -> False). % 11.29/11.46 do 0 intro. intros zenon_H15a zenon_H207 zenon_Hc5 zenon_H157 zenon_H68 zenon_H1ca zenon_H75. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H10c | zenon_intro zenon_H15b ]. % 11.29/11.46 exact (zenon_H207 zenon_H10c). % 11.29/11.46 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H56 | zenon_intro zenon_H15c ]. % 11.29/11.46 apply (zenon_L239_); trivial. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_H6c | zenon_intro zenon_H78 ]. % 11.29/11.46 exact (zenon_H68 zenon_H6c). % 11.29/11.46 apply (zenon_L305_); trivial. % 11.29/11.46 (* end of lemma zenon_L309_ *) % 11.29/11.46 assert (zenon_L310_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e1) (e1)) = (e0))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e1) (e0)) = (e2)) -> (~((e1) = (e3))) -> ((op (e1) (e2)) = (e1)) -> ((op (e1) (e3)) = (e0)) -> (~((e0) = (e3))) -> False). % 11.29/11.46 do 0 intro. intros zenon_H8d zenon_H1ca zenon_H68 zenon_H157 zenon_Hc5 zenon_H207 zenon_H15a zenon_H58 zenon_H3c zenon_H88 zenon_H7a zenon_H34. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H75 | zenon_intro zenon_H8e ]. % 11.29/11.46 apply (zenon_L309_); trivial. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H78 | zenon_intro zenon_H8f ]. % 11.29/11.46 apply (zenon_L34_); trivial. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H8b ]. % 11.29/11.46 apply (zenon_L35_); trivial. % 11.29/11.46 apply (zenon_L36_); trivial. % 11.29/11.46 (* end of lemma zenon_L310_ *) % 11.29/11.46 assert (zenon_L311_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e2))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((e0) = (e3))) -> ((op (e1) (e3)) = (e0)) -> ((op (e1) (e2)) = (e1)) -> (~((e1) = (e3))) -> ((op (e1) (e0)) = (e2)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e1)) -> False). % 11.29/11.46 do 0 intro. intros zenon_H105 zenon_H30 zenon_H2c zenon_H216 zenon_H34 zenon_H7a zenon_H88 zenon_H3c zenon_H58 zenon_H15a zenon_H207 zenon_H157 zenon_H68 zenon_H1ca zenon_H8d zenon_H16a zenon_H99. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H1f | zenon_intro zenon_H107 ]. % 11.29/11.46 apply (zenon_L211_); trivial. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H56 | zenon_intro zenon_H108 ]. % 11.29/11.46 apply (zenon_L304_); trivial. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hc5 | zenon_intro zenon_He6 ]. % 11.29/11.46 apply (zenon_L310_); trivial. % 11.29/11.46 apply (zenon_L146_); trivial. % 11.29/11.46 (* end of lemma zenon_L311_ *) % 11.29/11.46 assert (zenon_L312_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e2))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e1)) -> ((op (e1) (e0)) = (e3)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e1)) -> False). % 11.29/11.46 do 0 intro. intros zenon_H105 zenon_H30 zenon_H2c zenon_H216 zenon_H88 zenon_H75 zenon_H1ca zenon_H68 zenon_H157 zenon_H207 zenon_H15a zenon_H16a zenon_H99. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H1f | zenon_intro zenon_H107 ]. % 11.29/11.46 apply (zenon_L211_); trivial. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H56 | zenon_intro zenon_H108 ]. % 11.29/11.46 apply (zenon_L304_); trivial. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hc5 | zenon_intro zenon_He6 ]. % 11.29/11.46 apply (zenon_L309_); trivial. % 11.29/11.46 apply (zenon_L146_); trivial. % 11.29/11.46 (* end of lemma zenon_L312_ *) % 11.29/11.46 assert (zenon_L313_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e1)) -> ((op (e2) (e0)) = (e2)) -> (~((e1) = (e2))) -> (~((e1) = (e3))) -> ((op (e3) (e0)) = (e3)) -> False). % 11.29/11.46 do 0 intro. intros zenon_Hb7 zenon_H20 zenon_H25 zenon_H10e zenon_H88 zenon_Hb5 zenon_H30 zenon_H3c zenon_H15e. % 11.29/11.46 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ]. % 11.29/11.46 apply (zenon_L129_); trivial. % 11.29/11.46 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ]. % 11.29/11.46 apply (zenon_L106_); trivial. % 11.29/11.46 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ]. % 11.29/11.46 apply (zenon_L108_); trivial. % 11.29/11.46 apply (zenon_L196_); trivial. % 11.29/11.46 (* end of lemma zenon_L313_ *) % 11.29/11.46 assert (zenon_L314_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e3) (e0)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e0) (e1)) = (e2)) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e1)) -> ((op (e2) (e0)) = (e2)) -> (~((e1) = (e2))) -> (~((e1) = (e3))) -> False). % 11.29/11.46 do 0 intro. intros zenon_H161 zenon_H34 zenon_H99 zenon_H16a zenon_H15a zenon_H207 zenon_H157 zenon_H68 zenon_H1ca zenon_H216 zenon_H2c zenon_H105 zenon_H41 zenon_Hb7 zenon_H20 zenon_H25 zenon_H10e zenon_H88 zenon_Hb5 zenon_H30 zenon_H3c. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ]. % 11.29/11.46 apply (zenon_L7_); trivial. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ]. % 11.29/11.46 apply (zenon_L312_); trivial. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ]. % 11.29/11.46 apply (zenon_L233_); trivial. % 11.29/11.46 apply (zenon_L313_); trivial. % 11.29/11.46 (* end of lemma zenon_L314_ *) % 11.29/11.46 assert (zenon_L315_ : (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e0) = (e2))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e1) = (e3))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e0) (e0)) = (e0)) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e2) = (e3))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e3) (e0)) = (e1)) -> (~((e1) = (e2))) -> False). % 11.29/11.46 do 0 intro. intros zenon_Hb8 zenon_H27 zenon_H8d zenon_H187 zenon_H113 zenon_H3c zenon_H88 zenon_H10e zenon_H25 zenon_H20 zenon_Hb7 zenon_H41 zenon_H105 zenon_H2c zenon_H216 zenon_H1ca zenon_H68 zenon_H157 zenon_H207 zenon_H15a zenon_H16a zenon_H34 zenon_H161 zenon_H99 zenon_H30. % 11.29/11.46 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ]. % 11.29/11.46 apply (zenon_L3_); trivial. % 11.29/11.46 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ]. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ]. % 11.29/11.46 apply (zenon_L298_); trivial. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ]. % 11.29/11.46 exact (zenon_H207 zenon_H10c). % 11.29/11.46 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ]. % 11.29/11.46 apply (zenon_L92_); trivial. % 11.29/11.46 apply (zenon_L311_); trivial. % 11.29/11.46 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ]. % 11.29/11.46 apply (zenon_L314_); trivial. % 11.29/11.46 apply (zenon_L41_); trivial. % 11.29/11.46 (* end of lemma zenon_L315_ *) % 11.29/11.46 assert (zenon_L316_ : (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e2)) -> ((op (e1) (e2)) = (e2)) -> False). % 11.29/11.46 do 0 intro. intros zenon_H13f zenon_H2f zenon_H5b. % 11.29/11.46 cut (((op (e0) (e2)) = (e2)) = ((op (e0) (e2)) = (op (e1) (e2)))). % 11.29/11.46 intro zenon_D_pnotp. % 11.29/11.46 apply zenon_H13f. % 11.29/11.46 rewrite <- zenon_D_pnotp. % 11.29/11.46 exact zenon_H2f. % 11.29/11.46 cut (((e2) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H60]. % 11.29/11.46 cut (((op (e0) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H140]. % 11.29/11.46 congruence. % 11.29/11.46 apply zenon_H140. apply refl_equal. % 11.29/11.46 apply zenon_H60. apply sym_equal. exact zenon_H5b. % 11.29/11.46 (* end of lemma zenon_L316_ *) % 11.29/11.46 assert (zenon_L317_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e1) (e0)) = (e3)) -> (~((op (e1) (e1)) = (e2))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e1) (e3)) = (e0)) -> (~((e0) = (e2))) -> False). % 11.29/11.46 do 0 intro. intros zenon_H69 zenon_H41 zenon_H75 zenon_H68 zenon_H2f zenon_H13f zenon_H7a zenon_H27. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H58 | zenon_intro zenon_H6a ]. % 11.29/11.46 apply (zenon_L31_); trivial. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6c | zenon_intro zenon_H6b ]. % 11.29/11.46 exact (zenon_H68 zenon_H6c). % 11.29/11.46 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H5b | zenon_intro zenon_H62 ]. % 11.29/11.46 apply (zenon_L316_); trivial. % 11.29/11.46 apply (zenon_L103_); trivial. % 11.29/11.46 (* end of lemma zenon_L317_ *) % 11.29/11.46 assert (zenon_L318_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e1) (e1)) = (e0))) -> ((op (e1) (e2)) = (e1)) -> (~((e0) = (e1))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e1) (e0)) = (e3)) -> (~((op (e1) (e1)) = (e2))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((e0) = (e2))) -> False). % 11.29/11.46 do 0 intro. intros zenon_H113 zenon_H34 zenon_H207 zenon_H88 zenon_H20 zenon_H69 zenon_H41 zenon_H75 zenon_H68 zenon_H2f zenon_H13f zenon_H27. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ]. % 11.29/11.46 apply (zenon_L118_); trivial. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ]. % 11.29/11.46 exact (zenon_H207 zenon_H10c). % 11.29/11.46 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ]. % 11.29/11.46 apply (zenon_L92_); trivial. % 11.29/11.46 apply (zenon_L317_); trivial. % 11.29/11.46 (* end of lemma zenon_L318_ *) % 11.29/11.46 assert (zenon_L319_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e0)) = (e0)) -> (~((e0) = (e2))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e1) (e1)) = (e2))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e0) = (e1))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e1)) = (e0))) -> (~((e0) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e2)) -> (~((e1) = (e3))) -> ((op (e3) (e0)) = (e1)) -> False). % 11.29/11.46 do 0 intro. intros zenon_H161 zenon_H25 zenon_H27 zenon_H13f zenon_H2f zenon_H68 zenon_H69 zenon_H20 zenon_H88 zenon_H207 zenon_H34 zenon_H113 zenon_H41 zenon_Hb5 zenon_H3c zenon_H99. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ]. % 11.29/11.46 apply (zenon_L7_); trivial. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ]. % 11.29/11.46 apply (zenon_L318_); trivial. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ]. % 11.29/11.46 apply (zenon_L233_); trivial. % 11.29/11.46 apply (zenon_L196_); trivial. % 11.29/11.46 (* end of lemma zenon_L319_ *) % 11.29/11.46 assert (zenon_L320_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((e0) = (e1))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> ((op (e0) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((e0) = (e3))) -> ((op (e1) (e2)) = (e1)) -> (~((e1) = (e3))) -> ((op (e1) (e0)) = (e2)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e1)) -> False). % 11.29/11.46 do 0 intro. intros zenon_H113 zenon_H25 zenon_H187 zenon_H20 zenon_H105 zenon_H39 zenon_H216 zenon_H34 zenon_H88 zenon_H3c zenon_H58 zenon_H15a zenon_H207 zenon_H157 zenon_H68 zenon_H1ca zenon_H8d zenon_H16a zenon_H99. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ]. % 11.29/11.46 apply (zenon_L298_); trivial. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ]. % 11.29/11.46 exact (zenon_H207 zenon_H10c). % 11.29/11.46 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ]. % 11.29/11.46 apply (zenon_L92_); trivial. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H1f | zenon_intro zenon_H107 ]. % 11.29/11.46 apply (zenon_L130_); trivial. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H56 | zenon_intro zenon_H108 ]. % 11.29/11.46 apply (zenon_L304_); trivial. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hc5 | zenon_intro zenon_He6 ]. % 11.29/11.46 apply (zenon_L310_); trivial. % 11.29/11.46 apply (zenon_L146_); trivial. % 11.29/11.46 (* end of lemma zenon_L320_ *) % 11.29/11.46 assert (zenon_L321_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e1) (e0)) = (e2)) -> ((op (e0) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e1) (e3)) = (e0)) -> (~((e0) = (e3))) -> False). % 11.29/11.46 do 0 intro. intros zenon_H8d zenon_H41 zenon_H58 zenon_H3b zenon_H13f zenon_H7a zenon_H34. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H75 | zenon_intro zenon_H8e ]. % 11.29/11.46 apply (zenon_L31_); trivial. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H78 | zenon_intro zenon_H8f ]. % 11.29/11.46 apply (zenon_L34_); trivial. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H8b ]. % 11.29/11.46 apply (zenon_L119_); trivial. % 11.29/11.46 apply (zenon_L36_); trivial. % 11.29/11.46 (* end of lemma zenon_L321_ *) % 11.29/11.46 assert (zenon_L322_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e2))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e2)) -> (~((e1) = (e3))) -> ((op (e3) (e0)) = (e1)) -> False). % 11.29/11.46 do 0 intro. intros zenon_H161 zenon_H34 zenon_H25 zenon_H1ca zenon_H68 zenon_H88 zenon_H216 zenon_H207 zenon_H15a zenon_H41 zenon_Hb5 zenon_H3c zenon_H99. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ]. % 11.29/11.46 apply (zenon_L7_); trivial. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ]. % 11.29/11.46 apply (zenon_L306_); trivial. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ]. % 11.29/11.46 apply (zenon_L233_); trivial. % 11.29/11.46 apply (zenon_L196_); trivial. % 11.29/11.46 (* end of lemma zenon_L322_ *) % 11.29/11.46 assert (zenon_L323_ : (((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))))))) -> (~((e0) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> False). % 11.29/11.46 do 0 intro. intros zenon_H51 zenon_H20 zenon_H10e zenon_H88 zenon_H15a zenon_H1ca zenon_H68 zenon_H216 zenon_H34 zenon_H41 zenon_H3c zenon_Hb8 zenon_H30 zenon_H187 zenon_H8d zenon_H212 zenon_H113 zenon_H161 zenon_H27 zenon_H49 zenon_H44 zenon_H69 zenon_H13f zenon_H157 zenon_H16a zenon_H105 zenon_Hb7. % 11.29/11.46 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H25. zenon_intro zenon_H52. % 11.29/11.46 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H1f7. zenon_intro zenon_H1f6. % 11.29/11.46 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H1f9. zenon_intro zenon_H1f8. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H207 | zenon_intro zenon_H6d ]. % 11.29/11.46 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ]. % 11.29/11.46 apply (zenon_L129_); trivial. % 11.29/11.46 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ]. % 11.29/11.46 apply (zenon_L106_); trivial. % 11.29/11.46 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ]. % 11.29/11.46 apply (zenon_L308_); trivial. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.29/11.46 apply (zenon_L3_); trivial. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.29/11.46 apply (zenon_L315_); trivial. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.29/11.46 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ]. % 11.29/11.46 apply (zenon_L3_); trivial. % 11.29/11.46 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ]. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ]. % 11.29/11.46 apply (zenon_L298_); trivial. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ]. % 11.29/11.46 exact (zenon_H207 zenon_H10c). % 11.29/11.46 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ]. % 11.29/11.46 apply (zenon_L92_); trivial. % 11.29/11.46 apply (zenon_L37_); trivial. % 11.29/11.46 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ]. % 11.29/11.46 apply (zenon_L319_); trivial. % 11.29/11.46 apply (zenon_L41_); trivial. % 11.29/11.46 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ]. % 11.29/11.46 apply (zenon_L3_); trivial. % 11.29/11.46 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ]. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.29/11.46 apply (zenon_L7_); trivial. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.29/11.46 apply (zenon_L320_); trivial. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ]. % 11.29/11.46 apply (zenon_L298_); trivial. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ]. % 11.29/11.46 exact (zenon_H207 zenon_H10c). % 11.29/11.46 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ]. % 11.29/11.46 apply (zenon_L92_); trivial. % 11.29/11.46 apply (zenon_L321_); trivial. % 11.29/11.46 apply (zenon_L11_); trivial. % 11.29/11.46 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ]. % 11.29/11.46 apply (zenon_L322_); trivial. % 11.29/11.46 apply (zenon_L41_); trivial. % 11.29/11.46 apply (zenon_L106_); trivial. % 11.29/11.46 (* end of lemma zenon_L323_ *) % 11.29/11.46 assert (zenon_L324_ : (((op (e1) (e1)) = (e1))/\(((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0)))/\(((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1)))/\(((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2)))/\((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))))))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> False). % 11.29/11.46 do 0 intro. intros zenon_H53 zenon_H88 zenon_H216. % 11.29/11.46 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H56. zenon_intro zenon_H55. % 11.29/11.46 apply (zenon_L304_); trivial. % 11.29/11.46 (* end of lemma zenon_L324_ *) % 11.29/11.46 assert (zenon_L325_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e1)) = (e3))) -> (~((e1) = (e3))) -> ((op (e1) (e2)) = (e1)) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False). % 11.29/11.46 do 0 intro. intros zenon_H8d zenon_H6d zenon_H79 zenon_H3c zenon_H88 zenon_Hed zenon_H141. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H75 | zenon_intro zenon_H8e ]. % 11.29/11.46 apply (zenon_L123_); trivial. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H78 | zenon_intro zenon_H8f ]. % 11.29/11.46 exact (zenon_H79 zenon_H78). % 11.29/11.46 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H8b ]. % 11.29/11.46 apply (zenon_L35_); trivial. % 11.29/11.46 apply (zenon_L120_); trivial. % 11.29/11.46 (* end of lemma zenon_L325_ *) % 11.29/11.46 assert (zenon_L326_ : (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (e3))) -> False). % 11.29/11.46 do 0 intro. intros zenon_H15a zenon_H57 zenon_H1ca zenon_H10b zenon_H1f zenon_H68 zenon_H79. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H10c | zenon_intro zenon_H15b ]. % 11.29/11.46 apply (zenon_L232_); trivial. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H56 | zenon_intro zenon_H15c ]. % 11.29/11.46 apply (zenon_L223_); trivial. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_H6c | zenon_intro zenon_H78 ]. % 11.29/11.46 exact (zenon_H68 zenon_H6c). % 11.29/11.46 exact (zenon_H79 zenon_H78). % 11.29/11.46 (* end of lemma zenon_L326_ *) % 11.29/11.46 assert (zenon_L327_ : (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e0)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (e3))) -> False). % 11.29/11.46 do 0 intro. intros zenon_H15a zenon_H14f zenon_H7a zenon_H10b zenon_H1f zenon_H68 zenon_H79. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H10c | zenon_intro zenon_H15b ]. % 11.29/11.46 apply (zenon_L135_); trivial. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H56 | zenon_intro zenon_H15c ]. % 11.29/11.46 apply (zenon_L223_); trivial. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_H6c | zenon_intro zenon_H78 ]. % 11.29/11.46 exact (zenon_H68 zenon_H6c). % 11.29/11.46 exact (zenon_H79 zenon_H78). % 11.29/11.46 (* end of lemma zenon_L327_ *) % 11.29/11.46 assert (zenon_L328_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> ((op (e1) (e0)) = (e2)) -> (~((e2) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e1) (e2)) = (e1)) -> (~((e0) = (e1))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (e3))) -> False). % 11.29/11.46 do 0 intro. intros zenon_H113 zenon_H1ca zenon_H141 zenon_Hed zenon_H58 zenon_H41 zenon_H8d zenon_H88 zenon_H20 zenon_H15a zenon_H14f zenon_H10b zenon_H1f zenon_H68 zenon_H79. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ]. % 11.29/11.46 apply (zenon_L326_); trivial. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ]. % 11.29/11.46 apply (zenon_L292_); trivial. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ]. % 11.29/11.46 apply (zenon_L92_); trivial. % 11.29/11.46 apply (zenon_L327_); trivial. % 11.29/11.46 (* end of lemma zenon_L328_ *) % 11.29/11.46 assert (zenon_L329_ : (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((e0) = (e1))) -> ((op (e1) (e2)) = (e1)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e2) (e2)) = (e3))) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e1)) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> False). % 11.29/11.46 do 0 intro. intros zenon_Hb8 zenon_H27 zenon_H25 zenon_H79 zenon_H10b zenon_H14f zenon_H15a zenon_H20 zenon_H88 zenon_H8d zenon_H141 zenon_H1ca zenon_H113 zenon_H106 zenon_H30 zenon_H1f zenon_H68 zenon_He3 zenon_Hed zenon_He2 zenon_H41 zenon_H6f zenon_H3c zenon_H167 zenon_H16a. % 11.29/11.46 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ]. % 11.29/11.46 apply (zenon_L3_); trivial. % 11.29/11.46 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ]. % 11.29/11.46 apply (zenon_L328_); trivial. % 11.29/11.46 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ]. % 11.29/11.46 apply (zenon_L108_); trivial. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H2c | zenon_intro zenon_H109 ]. % 11.29/11.46 apply (zenon_L211_); trivial. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H6c | zenon_intro zenon_H10a ]. % 11.29/11.46 exact (zenon_H68 zenon_H6c). % 11.29/11.46 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Ha4 ]. % 11.29/11.46 apply (zenon_L145_); trivial. % 11.29/11.46 apply (zenon_L268_); trivial. % 11.29/11.46 (* end of lemma zenon_L329_ *) % 11.29/11.46 assert (zenon_L330_ : (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e1)) -> ((op (e2) (e1)) = (e1)) -> False). % 11.29/11.46 do 0 intro. intros zenon_Hcb zenon_H1f zenon_Hc5. % 11.29/11.46 cut (((op (e0) (e1)) = (e1)) = ((op (e0) (e1)) = (op (e2) (e1)))). % 11.29/11.46 intro zenon_D_pnotp. % 11.29/11.46 apply zenon_Hcb. % 11.29/11.46 rewrite <- zenon_D_pnotp. % 11.29/11.46 exact zenon_H1f. % 11.29/11.46 cut (((e1) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Hc6]. % 11.29/11.46 cut (((op (e0) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H74]. % 11.29/11.46 congruence. % 11.29/11.46 apply zenon_H74. apply refl_equal. % 11.29/11.46 apply zenon_Hc6. apply sym_equal. exact zenon_Hc5. % 11.29/11.46 (* end of lemma zenon_L330_ *) % 11.29/11.46 assert (zenon_L331_ : (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e0)) = (e1)) -> ((op (e3) (e0)) = (e1)) -> False). % 11.29/11.46 do 0 intro. intros zenon_H212 zenon_H6d zenon_H99. % 11.29/11.46 cut (((op (e1) (e0)) = (e1)) = ((op (e1) (e0)) = (op (e3) (e0)))). % 11.29/11.46 intro zenon_D_pnotp. % 11.29/11.46 apply zenon_H212. % 11.29/11.46 rewrite <- zenon_D_pnotp. % 11.29/11.46 exact zenon_H6d. % 11.29/11.46 cut (((e1) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H218]. % 11.29/11.46 cut (((op (e1) (e0)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H110]. % 11.29/11.46 congruence. % 11.29/11.46 apply zenon_H110. apply refl_equal. % 11.29/11.46 apply zenon_H218. apply sym_equal. exact zenon_H99. % 11.29/11.46 (* end of lemma zenon_L331_ *) % 11.29/11.46 assert (zenon_L332_ : ((op (e2) (e3)) = (e2)) -> ((op (e1) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False). % 11.29/11.46 do 0 intro. intros zenon_H18a zenon_H62 zenon_H117. % 11.29/11.46 elim (classic ((op (e2) (e3)) = (op (e2) (e3)))); [ zenon_intro zenon_H18c | zenon_intro zenon_He4 ]. % 11.29/11.46 cut (((op (e2) (e3)) = (op (e2) (e3))) = ((op (e1) (e3)) = (op (e2) (e3)))). % 11.29/11.46 intro zenon_D_pnotp. % 11.29/11.46 apply zenon_H117. % 11.29/11.46 rewrite <- zenon_D_pnotp. % 11.29/11.46 exact zenon_H18c. % 11.29/11.46 cut (((op (e2) (e3)) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_He4]. % 11.29/11.46 cut (((op (e2) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H219]. % 11.29/11.46 congruence. % 11.29/11.46 cut (((op (e2) (e3)) = (e2)) = ((op (e2) (e3)) = (op (e1) (e3)))). % 11.29/11.46 intro zenon_D_pnotp. % 11.29/11.46 apply zenon_H219. % 11.29/11.46 rewrite <- zenon_D_pnotp. % 11.29/11.46 exact zenon_H18a. % 11.29/11.46 cut (((e2) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H63]. % 11.29/11.46 cut (((op (e2) (e3)) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_He4]. % 11.29/11.46 congruence. % 11.29/11.46 apply zenon_He4. apply refl_equal. % 11.29/11.46 apply zenon_H63. apply sym_equal. exact zenon_H62. % 11.29/11.46 apply zenon_He4. apply refl_equal. % 11.29/11.46 apply zenon_He4. apply refl_equal. % 11.29/11.46 (* end of lemma zenon_L332_ *) % 11.29/11.46 assert (zenon_L333_ : (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e2)) -> ((op (e3) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False). % 11.29/11.46 do 0 intro. intros zenon_H194 zenon_H72 zenon_H16e zenon_H90 zenon_H117 zenon_H62 zenon_Hed zenon_He3. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H96 | zenon_intro zenon_H195 ]. % 11.29/11.46 apply (zenon_L176_); trivial. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H118 | zenon_intro zenon_H196 ]. % 11.29/11.46 apply (zenon_L96_); trivial. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H18a | zenon_intro zenon_H164 ]. % 11.29/11.46 apply (zenon_L332_); trivial. % 11.29/11.46 apply (zenon_L144_); trivial. % 11.29/11.46 (* end of lemma zenon_L333_ *) % 11.29/11.46 assert (zenon_L334_ : ((op (e2) (e3)) = (e2)) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> False). % 11.29/11.46 do 0 intro. intros zenon_H18a zenon_Hb5 zenon_H95. % 11.29/11.46 elim (classic ((op (e2) (e3)) = (op (e2) (e3)))); [ zenon_intro zenon_H18c | zenon_intro zenon_He4 ]. % 11.29/11.46 cut (((op (e2) (e3)) = (op (e2) (e3))) = ((op (e2) (e0)) = (op (e2) (e3)))). % 11.29/11.46 intro zenon_D_pnotp. % 11.29/11.46 apply zenon_H95. % 11.29/11.46 rewrite <- zenon_D_pnotp. % 11.29/11.46 exact zenon_H18c. % 11.29/11.46 cut (((op (e2) (e3)) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_He4]. % 11.29/11.46 cut (((op (e2) (e3)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H21a]. % 11.29/11.46 congruence. % 11.29/11.46 cut (((op (e2) (e3)) = (e2)) = ((op (e2) (e3)) = (op (e2) (e0)))). % 11.29/11.46 intro zenon_D_pnotp. % 11.29/11.46 apply zenon_H21a. % 11.29/11.46 rewrite <- zenon_D_pnotp. % 11.29/11.46 exact zenon_H18a. % 11.29/11.46 cut (((e2) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hc2]. % 11.29/11.46 cut (((op (e2) (e3)) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_He4]. % 11.29/11.46 congruence. % 11.29/11.46 apply zenon_He4. apply refl_equal. % 11.29/11.46 apply zenon_Hc2. apply sym_equal. exact zenon_Hb5. % 11.29/11.46 apply zenon_He4. apply refl_equal. % 11.29/11.46 apply zenon_He4. apply refl_equal. % 11.29/11.46 (* end of lemma zenon_L334_ *) % 11.29/11.46 assert (zenon_L335_ : (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> ((op (e1) (e3)) = (e0)) -> False). % 11.29/11.46 do 0 intro. intros zenon_H61 zenon_H72 zenon_H7a. % 11.29/11.46 cut (((op (e0) (e3)) = (e0)) = ((op (e0) (e3)) = (op (e1) (e3)))). % 11.29/11.46 intro zenon_D_pnotp. % 11.29/11.46 apply zenon_H61. % 11.29/11.46 rewrite <- zenon_D_pnotp. % 11.29/11.46 exact zenon_H72. % 11.29/11.46 cut (((e0) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H21b]. % 11.29/11.46 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H64]. % 11.29/11.46 congruence. % 11.29/11.46 apply zenon_H64. apply refl_equal. % 11.29/11.46 apply zenon_H21b. apply sym_equal. exact zenon_H7a. % 11.29/11.46 (* end of lemma zenon_L335_ *) % 11.29/11.46 assert (zenon_L336_ : (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e2)) -> ((op (e3) (e3)) = (e2)) -> False). % 11.29/11.46 do 0 intro. intros zenon_H141 zenon_H62 zenon_Hb4. % 11.29/11.46 cut (((op (e1) (e3)) = (e2)) = ((op (e1) (e3)) = (op (e3) (e3)))). % 11.29/11.46 intro zenon_D_pnotp. % 11.29/11.46 apply zenon_H141. % 11.29/11.46 rewrite <- zenon_D_pnotp. % 11.29/11.46 exact zenon_H62. % 11.29/11.46 cut (((e2) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hea]. % 11.29/11.46 cut (((op (e1) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H11a]. % 11.29/11.46 congruence. % 11.29/11.46 apply zenon_H11a. apply refl_equal. % 11.29/11.46 apply zenon_Hea. apply sym_equal. exact zenon_Hb4. % 11.29/11.46 (* end of lemma zenon_L336_ *) % 11.29/11.46 assert (zenon_L337_ : (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e2) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e3) (e3)) = (e2)) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False). % 11.29/11.46 do 0 intro. intros zenon_H154 zenon_H72 zenon_H61 zenon_H118 zenon_H117 zenon_Hb4 zenon_Hed zenon_H141. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H7a | zenon_intro zenon_H155 ]. % 11.29/11.46 apply (zenon_L335_); trivial. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H90 | zenon_intro zenon_H156 ]. % 11.29/11.46 apply (zenon_L96_); trivial. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H62 | zenon_intro zenon_H8b ]. % 11.29/11.46 apply (zenon_L336_); trivial. % 11.29/11.46 apply (zenon_L120_); trivial. % 11.29/11.46 (* end of lemma zenon_L337_ *) % 11.29/11.46 assert (zenon_L338_ : (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e2)) -> ((op (e3) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False). % 11.29/11.46 do 0 intro. intros zenon_H194 zenon_H16e zenon_H141 zenon_H117 zenon_H61 zenon_H72 zenon_H154 zenon_Hb4 zenon_Hed zenon_He3. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H96 | zenon_intro zenon_H195 ]. % 11.29/11.46 apply (zenon_L176_); trivial. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H118 | zenon_intro zenon_H196 ]. % 11.29/11.46 apply (zenon_L337_); trivial. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H18a | zenon_intro zenon_H164 ]. % 11.29/11.46 apply (zenon_L188_); trivial. % 11.29/11.46 apply (zenon_L144_); trivial. % 11.29/11.46 (* end of lemma zenon_L338_ *) % 11.29/11.46 assert (zenon_L339_ : (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e0)) = (e2)) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False). % 11.29/11.46 do 0 intro. intros zenon_H197 zenon_H27 zenon_H90 zenon_H95 zenon_Hb5 zenon_H194 zenon_H16e zenon_H141 zenon_H117 zenon_H61 zenon_H72 zenon_H154 zenon_Hed zenon_He3. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H197); [ zenon_intro zenon_H3f | zenon_intro zenon_H198 ]. % 11.29/11.46 apply (zenon_L180_); trivial. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H62 | zenon_intro zenon_H199 ]. % 11.29/11.46 apply (zenon_L333_); trivial. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H18a | zenon_intro zenon_Hb4 ]. % 11.29/11.46 apply (zenon_L334_); trivial. % 11.29/11.46 apply (zenon_L338_); trivial. % 11.29/11.46 (* end of lemma zenon_L339_ *) % 11.29/11.46 assert (zenon_L340_ : (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> ((op (e3) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e2)) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e0)) = (e2)) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False). % 11.29/11.46 do 0 intro. intros zenon_H92 zenon_H99 zenon_H212 zenon_H10b zenon_H1f zenon_Heb zenon_He2 zenon_H3c zenon_H2f zenon_H41 zenon_Hf3 zenon_H197 zenon_H27 zenon_H95 zenon_Hb5 zenon_H194 zenon_H16e zenon_H141 zenon_H117 zenon_H61 zenon_H72 zenon_H154 zenon_Hed zenon_He3. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H6d | zenon_intro zenon_H93 ]. % 11.29/11.46 apply (zenon_L331_); trivial. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H56 | zenon_intro zenon_H94 ]. % 11.29/11.46 apply (zenon_L223_); trivial. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H88 | zenon_intro zenon_H90 ]. % 11.29/11.46 apply (zenon_L171_); trivial. % 11.29/11.46 apply (zenon_L339_); trivial. % 11.29/11.46 (* end of lemma zenon_L340_ *) % 11.29/11.46 assert (zenon_L341_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((e1) = (e2))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e1)) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e2))) -> False). % 11.29/11.46 do 0 intro. intros zenon_H49 zenon_H1aa zenon_H30 zenon_He3 zenon_Hed zenon_H154 zenon_H61 zenon_H117 zenon_H141 zenon_H16e zenon_H194 zenon_Hb5 zenon_H95 zenon_H197 zenon_Hf3 zenon_H41 zenon_H3c zenon_He2 zenon_Heb zenon_H1f zenon_H10b zenon_H212 zenon_H99 zenon_H92 zenon_H72 zenon_H27. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.29/11.46 apply (zenon_L208_); trivial. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.29/11.46 apply (zenon_L211_); trivial. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.29/11.46 apply (zenon_L340_); trivial. % 11.29/11.46 apply (zenon_L180_); trivial. % 11.29/11.46 (* end of lemma zenon_L341_ *) % 11.29/11.46 assert (zenon_L342_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e2))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e0)) = (e2)) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e1)) = (e0)) -> (~((e0) = (e1))) -> ((op (e2) (e3)) = (e1)) -> ((op (e3) (e0)) = (e1)) -> ((op (e3) (e1)) = (e2)) -> False). % 11.29/11.46 do 0 intro. intros zenon_Hb9 zenon_H27 zenon_H92 zenon_H212 zenon_H10b zenon_H1f zenon_Heb zenon_He2 zenon_H3c zenon_H41 zenon_Hf3 zenon_H197 zenon_H95 zenon_Hb5 zenon_H194 zenon_H16e zenon_H141 zenon_H117 zenon_H61 zenon_H154 zenon_Hed zenon_He3 zenon_H30 zenon_H1aa zenon_H49 zenon_H14f zenon_H10c zenon_H20 zenon_H118 zenon_H99 zenon_Ha4. % 11.29/11.46 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H72 | zenon_intro zenon_Hbe ]. % 11.29/11.46 apply (zenon_L341_); trivial. % 11.29/11.46 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H7a | zenon_intro zenon_Hbf ]. % 11.29/11.46 apply (zenon_L135_); trivial. % 11.29/11.46 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H96 | zenon_intro zenon_H9d ]. % 11.29/11.46 apply (zenon_L166_); trivial. % 11.29/11.46 apply (zenon_L45_); trivial. % 11.29/11.46 (* end of lemma zenon_L342_ *) % 11.29/11.46 assert (zenon_L343_ : ((op (e2) (e0)) = (e2)) -> ((op (e1) (e0)) = (e2)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> False). % 11.29/11.46 do 0 intro. intros zenon_Hb5 zenon_H58 zenon_H16c. % 11.29/11.46 elim (classic ((op (e2) (e0)) = (op (e2) (e0)))); [ zenon_intro zenon_H1ab | zenon_intro zenon_H98 ]. % 11.29/11.46 cut (((op (e2) (e0)) = (op (e2) (e0))) = ((op (e1) (e0)) = (op (e2) (e0)))). % 11.29/11.46 intro zenon_D_pnotp. % 11.29/11.46 apply zenon_H16c. % 11.29/11.46 rewrite <- zenon_D_pnotp. % 11.29/11.46 exact zenon_H1ab. % 11.29/11.46 cut (((op (e2) (e0)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H98]. % 11.29/11.46 cut (((op (e2) (e0)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H21c]. % 11.29/11.46 congruence. % 11.29/11.46 cut (((op (e2) (e0)) = (e2)) = ((op (e2) (e0)) = (op (e1) (e0)))). % 11.29/11.46 intro zenon_D_pnotp. % 11.29/11.46 apply zenon_H21c. % 11.29/11.46 rewrite <- zenon_D_pnotp. % 11.29/11.46 exact zenon_Hb5. % 11.29/11.46 cut (((e2) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H21d]. % 11.29/11.46 cut (((op (e2) (e0)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H98]. % 11.29/11.46 congruence. % 11.29/11.46 apply zenon_H98. apply refl_equal. % 11.29/11.46 apply zenon_H21d. apply sym_equal. exact zenon_H58. % 11.29/11.46 apply zenon_H98. apply refl_equal. % 11.29/11.46 apply zenon_H98. apply refl_equal. % 11.29/11.46 (* end of lemma zenon_L343_ *) % 11.29/11.46 assert (zenon_L344_ : (~((op (e1) (op (e1) (e1))) = (op (e1) (e2)))) -> ((op (e1) (e1)) = (e2)) -> False). % 11.29/11.46 do 0 intro. intros zenon_H21e zenon_H6c. % 11.29/11.46 cut (((op (e1) (e1)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H68]. % 11.29/11.46 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H22]. % 11.29/11.46 congruence. % 11.29/11.46 apply zenon_H22. apply refl_equal. % 11.29/11.46 exact (zenon_H68 zenon_H6c). % 11.29/11.46 (* end of lemma zenon_L344_ *) % 11.29/11.46 assert (zenon_L345_ : ((op (e1) (e2)) = (e0)) -> ((op (e1) (e1)) = (e2)) -> (~((e0) = (op (e1) (op (e1) (e1))))) -> False). % 11.29/11.46 do 0 intro. intros zenon_He0 zenon_H6c zenon_H7b. % 11.29/11.46 elim (classic ((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [ zenon_intro zenon_H7c | zenon_intro zenon_H7d ]. % 11.29/11.46 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1)))) = ((e0) = (op (e1) (op (e1) (e1))))). % 11.29/11.46 intro zenon_D_pnotp. % 11.29/11.46 apply zenon_H7b. % 11.29/11.46 rewrite <- zenon_D_pnotp. % 11.29/11.46 exact zenon_H7c. % 11.29/11.46 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H7d]. % 11.29/11.46 cut (((op (e1) (op (e1) (e1))) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H7e]. % 11.29/11.46 congruence. % 11.29/11.46 cut (((op (e1) (e2)) = (e0)) = ((op (e1) (op (e1) (e1))) = (e0))). % 11.29/11.46 intro zenon_D_pnotp. % 11.29/11.46 apply zenon_H7e. % 11.29/11.46 rewrite <- zenon_D_pnotp. % 11.29/11.46 exact zenon_He0. % 11.29/11.46 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d]. % 11.29/11.46 cut (((op (e1) (e2)) = (op (e1) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H21f]. % 11.29/11.46 congruence. % 11.29/11.46 elim (classic ((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [ zenon_intro zenon_H7c | zenon_intro zenon_H7d ]. % 11.29/11.46 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1)))) = ((op (e1) (e2)) = (op (e1) (op (e1) (e1))))). % 11.29/11.46 intro zenon_D_pnotp. % 11.29/11.46 apply zenon_H21f. % 11.29/11.46 rewrite <- zenon_D_pnotp. % 11.29/11.46 exact zenon_H7c. % 11.29/11.46 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H7d]. % 11.29/11.46 cut (((op (e1) (op (e1) (e1))) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H21e]. % 11.29/11.46 congruence. % 11.29/11.46 apply (zenon_L344_); trivial. % 11.29/11.46 apply zenon_H7d. apply refl_equal. % 11.29/11.46 apply zenon_H7d. apply refl_equal. % 11.29/11.46 apply zenon_H1d. apply refl_equal. % 11.29/11.46 apply zenon_H7d. apply refl_equal. % 11.29/11.46 apply zenon_H7d. apply refl_equal. % 11.29/11.46 (* end of lemma zenon_L345_ *) % 11.29/11.46 assert (zenon_L346_ : ((op (e1) (e2)) = (e0)) -> ((op (e1) (e0)) = (e3)) -> ((op (e1) (e1)) = (e2)) -> False). % 11.29/11.46 do 0 intro. intros zenon_He0 zenon_H75 zenon_H6c. % 11.29/11.46 apply (zenon_notand_s _ _ ax10); [ zenon_intro zenon_H7b | zenon_intro zenon_H220 ]. % 11.29/11.46 apply (zenon_L345_); trivial. % 11.29/11.46 apply (zenon_notand_s _ _ zenon_H220); [ zenon_intro zenon_H20c | zenon_intro zenon_H159 ]. % 11.29/11.46 elim (classic ((op (e1) (op (e1) (op (e1) (e1)))) = (op (e1) (op (e1) (op (e1) (e1)))))); [ zenon_intro zenon_H83 | zenon_intro zenon_H84 ]. % 11.29/11.46 cut (((op (e1) (op (e1) (op (e1) (e1)))) = (op (e1) (op (e1) (op (e1) (e1))))) = ((e3) = (op (e1) (op (e1) (op (e1) (e1)))))). % 11.29/11.46 intro zenon_D_pnotp. % 11.29/11.46 apply zenon_H20c. % 11.29/11.46 rewrite <- zenon_D_pnotp. % 11.29/11.46 exact zenon_H83. % 11.29/11.46 cut (((op (e1) (op (e1) (op (e1) (e1)))) = (op (e1) (op (e1) (op (e1) (e1)))))); [idtac | apply NNPP; zenon_intro zenon_H84]. % 11.29/11.46 cut (((op (e1) (op (e1) (op (e1) (e1)))) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H20d]. % 11.29/11.46 congruence. % 11.29/11.46 cut (((op (e1) (e0)) = (e3)) = ((op (e1) (op (e1) (op (e1) (e1)))) = (e3))). % 11.29/11.46 intro zenon_D_pnotp. % 11.29/11.46 apply zenon_H20d. % 11.29/11.46 rewrite <- zenon_D_pnotp. % 11.29/11.46 exact zenon_H75. % 11.29/11.46 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H36]. % 11.29/11.46 cut (((op (e1) (e0)) = (op (e1) (op (e1) (op (e1) (e1)))))); [idtac | apply NNPP; zenon_intro zenon_H86]. % 11.29/11.46 congruence. % 11.29/11.46 elim (classic ((op (e1) (op (e1) (op (e1) (e1)))) = (op (e1) (op (e1) (op (e1) (e1)))))); [ zenon_intro zenon_H83 | zenon_intro zenon_H84 ]. % 11.29/11.46 cut (((op (e1) (op (e1) (op (e1) (e1)))) = (op (e1) (op (e1) (op (e1) (e1))))) = ((op (e1) (e0)) = (op (e1) (op (e1) (op (e1) (e1)))))). % 11.29/11.46 intro zenon_D_pnotp. % 11.29/11.46 apply zenon_H86. % 11.29/11.46 rewrite <- zenon_D_pnotp. % 11.29/11.46 exact zenon_H83. % 11.29/11.46 cut (((op (e1) (op (e1) (op (e1) (e1)))) = (op (e1) (op (e1) (op (e1) (e1)))))); [idtac | apply NNPP; zenon_intro zenon_H84]. % 11.29/11.46 cut (((op (e1) (op (e1) (op (e1) (e1)))) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H87]. % 11.29/11.46 congruence. % 11.29/11.46 cut (((op (e1) (op (e1) (e1))) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H7e]. % 11.29/11.46 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H22]. % 11.29/11.46 congruence. % 11.29/11.46 apply zenon_H22. apply refl_equal. % 11.29/11.46 cut (((op (e1) (e2)) = (e0)) = ((op (e1) (op (e1) (e1))) = (e0))). % 11.29/11.46 intro zenon_D_pnotp. % 11.29/11.46 apply zenon_H7e. % 11.29/11.46 rewrite <- zenon_D_pnotp. % 11.29/11.46 exact zenon_He0. % 11.29/11.46 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d]. % 11.29/11.46 cut (((op (e1) (e2)) = (op (e1) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H21f]. % 11.29/11.46 congruence. % 11.29/11.46 elim (classic ((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [ zenon_intro zenon_H7c | zenon_intro zenon_H7d ]. % 11.29/11.46 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1)))) = ((op (e1) (e2)) = (op (e1) (op (e1) (e1))))). % 11.29/11.46 intro zenon_D_pnotp. % 11.29/11.46 apply zenon_H21f. % 11.29/11.46 rewrite <- zenon_D_pnotp. % 11.29/11.46 exact zenon_H7c. % 11.29/11.46 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H7d]. % 11.29/11.46 cut (((op (e1) (op (e1) (e1))) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H21e]. % 11.29/11.46 congruence. % 11.29/11.46 apply (zenon_L344_); trivial. % 11.29/11.46 apply zenon_H7d. apply refl_equal. % 11.29/11.46 apply zenon_H7d. apply refl_equal. % 11.29/11.46 apply zenon_H1d. apply refl_equal. % 11.29/11.46 apply zenon_H84. apply refl_equal. % 11.29/11.46 apply zenon_H84. apply refl_equal. % 11.29/11.46 apply zenon_H36. apply refl_equal. % 11.29/11.46 apply zenon_H84. apply refl_equal. % 11.29/11.46 apply zenon_H84. apply refl_equal. % 11.29/11.46 apply zenon_H159. apply sym_equal. exact zenon_H6c. % 11.29/11.46 (* end of lemma zenon_L346_ *) % 11.29/11.46 assert (zenon_L347_ : ((op (e1) (e2)) = (e0)) -> ((op (e1) (e2)) = (e2)) -> (~((e0) = (e2))) -> False). % 11.29/11.46 do 0 intro. intros zenon_He0 zenon_H5b zenon_H27. % 11.29/11.46 elim (classic ((e2) = (e2))); [ zenon_intro zenon_H28 | zenon_intro zenon_H29 ]. % 11.29/11.46 cut (((e2) = (e2)) = ((e0) = (e2))). % 11.29/11.46 intro zenon_D_pnotp. % 11.29/11.46 apply zenon_H27. % 11.29/11.46 rewrite <- zenon_D_pnotp. % 11.29/11.46 exact zenon_H28. % 11.29/11.46 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H29]. % 11.29/11.46 cut (((e2) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H2a]. % 11.29/11.46 congruence. % 11.29/11.46 cut (((op (e1) (e2)) = (e0)) = ((e2) = (e0))). % 11.29/11.46 intro zenon_D_pnotp. % 11.29/11.46 apply zenon_H2a. % 11.29/11.46 rewrite <- zenon_D_pnotp. % 11.29/11.46 exact zenon_He0. % 11.29/11.46 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d]. % 11.29/11.46 cut (((op (e1) (e2)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H221]. % 11.29/11.46 congruence. % 11.29/11.46 exact (zenon_H221 zenon_H5b). % 11.29/11.46 apply zenon_H1d. apply refl_equal. % 11.29/11.46 apply zenon_H29. apply refl_equal. % 11.29/11.46 apply zenon_H29. apply refl_equal. % 11.29/11.46 (* end of lemma zenon_L347_ *) % 11.29/11.46 assert (zenon_L348_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e2) (e0)) = (e2)) -> ((op (e1) (e0)) = (e3)) -> (~((e0) = (e2))) -> ((op (e1) (e2)) = (e0)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e2)) -> False). % 11.29/11.46 do 0 intro. intros zenon_H69 zenon_H16c zenon_Hb5 zenon_H75 zenon_H27 zenon_He0 zenon_H61 zenon_H3f. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H58 | zenon_intro zenon_H6a ]. % 11.29/11.46 apply (zenon_L343_); trivial. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6c | zenon_intro zenon_H6b ]. % 11.29/11.46 apply (zenon_L346_); trivial. % 11.29/11.46 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H5b | zenon_intro zenon_H62 ]. % 11.29/11.46 apply (zenon_L347_); trivial. % 11.29/11.46 apply (zenon_L22_); trivial. % 11.29/11.46 (* end of lemma zenon_L348_ *) % 11.29/11.46 assert (zenon_L349_ : (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e0) (e0)) = (e0)) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((e0) = (e2))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e1) = (e2))) -> False). % 11.29/11.47 do 0 intro. intros zenon_H13a zenon_H44 zenon_H3c zenon_H88 zenon_H10e zenon_H25 zenon_H20 zenon_Hb7 zenon_H41 zenon_H34 zenon_H49 zenon_H1aa zenon_He3 zenon_Hed zenon_H154 zenon_H117 zenon_H141 zenon_H16e zenon_H194 zenon_H95 zenon_H197 zenon_Hf3 zenon_He2 zenon_Heb zenon_H212 zenon_H92 zenon_Hb9 zenon_H5c zenon_Hcb zenon_Hb8 zenon_H8d zenon_H1ca zenon_H113 zenon_H106 zenon_H167 zenon_H16a zenon_H11b zenon_H148 zenon_He5 zenon_H61 zenon_H27 zenon_H16c zenon_H69 zenon_H15a zenon_H14f zenon_H10b zenon_H1f zenon_H68 zenon_H79 zenon_H38 zenon_H161 zenon_H30. % 11.29/11.47 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ]. % 11.29/11.47 apply (zenon_L129_); trivial. % 11.29/11.47 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ]. % 11.29/11.47 apply (zenon_L325_); trivial. % 11.29/11.47 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ]. % 11.29/11.47 apply (zenon_L329_); trivial. % 11.29/11.47 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.29/11.47 apply (zenon_L3_); trivial. % 11.29/11.47 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.29/11.47 apply (zenon_L211_); trivial. % 11.29/11.47 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.29/11.47 apply (zenon_L212_); trivial. % 11.29/11.47 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ]. % 11.29/11.47 apply (zenon_L3_); trivial. % 11.29/11.47 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ]. % 11.29/11.47 apply (zenon_L328_); trivial. % 11.29/11.47 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ]. % 11.29/11.47 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ]. % 11.29/11.47 exact (zenon_H38 zenon_H33). % 11.29/11.47 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ]. % 11.29/11.47 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ]. % 11.29/11.47 apply (zenon_L118_); trivial. % 11.29/11.47 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ]. % 11.29/11.47 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H2c | zenon_intro zenon_H109 ]. % 11.29/11.47 apply (zenon_L211_); trivial. % 11.29/11.47 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H6c | zenon_intro zenon_H10a ]. % 11.29/11.47 exact (zenon_H68 zenon_H6c). % 11.29/11.47 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Ha4 ]. % 11.29/11.47 apply (zenon_L133_); trivial. % 11.29/11.47 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H6f | zenon_intro zenon_H11d ]. % 11.29/11.47 apply (zenon_L329_); trivial. % 11.29/11.47 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H11e ]. % 11.29/11.47 apply (zenon_L330_); trivial. % 11.29/11.47 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H11f | zenon_intro zenon_H118 ]. % 11.29/11.47 apply (zenon_L192_); trivial. % 11.29/11.47 apply (zenon_L342_); trivial. % 11.29/11.47 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ]. % 11.29/11.47 apply (zenon_L348_); trivial. % 11.29/11.47 apply (zenon_L327_); trivial. % 11.29/11.47 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ]. % 11.29/11.47 apply (zenon_L233_); trivial. % 11.29/11.47 apply (zenon_L313_); trivial. % 11.29/11.47 apply (zenon_L41_); trivial. % 11.29/11.47 (* end of lemma zenon_L349_ *) % 11.29/11.47 assert (zenon_L350_ : (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e0) (e2)) = (e1)) -> ((op (e1) (e0)) = (e3)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> ((((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))\/((((op (e1) (e1)) = (e1))/\(((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0)))/\(((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1)))/\(((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2)))/\((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3)))))))\/((((op (e2) (e2)) = (e2))/\(((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0)))/\(((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3)))))))\/(((op (e3) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3)))))))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e2))) -> (~((e2) = (e3))) -> (~((e1) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> False). % 11.29/11.47 do 0 intro. intros zenon_Hf3 zenon_H2e zenon_H75 zenon_H10e zenon_He2 zenon_H1b0 zenon_H122 zenon_H34 zenon_H15d zenon_H16a zenon_Hf6 zenon_H1df zenon_H1e2 zenon_H1f0 zenon_H3c zenon_H1f3 zenon_Hb0 zenon_Hb1 zenon_H41 zenon_H30 zenon_Hf0 zenon_H1d8 zenon_H1c1 zenon_Heb. % 11.29/11.47 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H3b | zenon_intro zenon_Hf4 ]. % 11.29/11.47 apply (zenon_L9_); trivial. % 11.29/11.47 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H89 | zenon_intro zenon_Hf5 ]. % 11.29/11.47 apply (zenon_L229_); trivial. % 11.29/11.47 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_He1 | zenon_intro zenon_Hec ]. % 11.29/11.47 exact (zenon_He2 zenon_He1). % 11.29/11.47 apply (zenon_L280_); trivial. % 11.29/11.47 (* end of lemma zenon_L350_ *) % 11.29/11.47 assert (zenon_L351_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> (~((op (e3) (e3)) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((e0) = (e3))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))\/((((op (e1) (e1)) = (e1))/\(((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0)))/\(((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1)))/\(((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2)))/\((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3)))))))\/((((op (e2) (e2)) = (e2))/\(((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0)))/\(((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3)))))))\/(((op (e3) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3)))))))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e1)) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (~((e1) = (e3))) -> ((op (e1) (e2)) = (e1)) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False). % 11.29/11.47 do 0 intro. intros zenon_H8d zenon_Heb zenon_H1c1 zenon_H1d8 zenon_Hf0 zenon_H30 zenon_H41 zenon_Hb1 zenon_Hb0 zenon_H1f3 zenon_H1f0 zenon_H1e2 zenon_H1df zenon_Hf6 zenon_H16a zenon_H15d zenon_H34 zenon_H122 zenon_H1b0 zenon_He2 zenon_H10e zenon_H2e zenon_Hf3 zenon_H79 zenon_H3c zenon_H88 zenon_Hed zenon_H141. % 11.29/11.47 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H75 | zenon_intro zenon_H8e ]. % 11.29/11.47 apply (zenon_L350_); trivial. % 11.29/11.47 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H78 | zenon_intro zenon_H8f ]. % 11.29/11.47 exact (zenon_H79 zenon_H78). % 11.29/11.47 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H8b ]. % 11.29/11.47 apply (zenon_L35_); trivial. % 11.29/11.47 apply (zenon_L120_); trivial. % 11.29/11.47 (* end of lemma zenon_L351_ *) % 11.29/11.47 assert (zenon_L352_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e2) = (e3))) -> ((op (e1) (e0)) = (e2)) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e1)) -> (((op (e3) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> False). % 11.29/11.47 do 0 intro. intros zenon_H161 zenon_H38 zenon_H41 zenon_H58 zenon_H3c zenon_H6f zenon_H15f zenon_H15d. % 11.29/11.47 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ]. % 11.29/11.47 exact (zenon_H38 zenon_H33). % 11.29/11.47 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ]. % 11.29/11.47 apply (zenon_L31_); trivial. % 11.29/11.47 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ]. % 11.29/11.47 apply (zenon_L136_); trivial. % 11.29/11.47 apply (zenon_L142_); trivial. % 11.29/11.47 (* end of lemma zenon_L352_ *) % 11.29/11.47 assert (zenon_L353_ : (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e2)) -> ((op (e1) (e1)) = (e2)) -> False). % 11.29/11.47 do 0 intro. intros zenon_H10b zenon_H2c zenon_H6c. % 11.29/11.47 cut (((op (e0) (e1)) = (e2)) = ((op (e0) (e1)) = (op (e1) (e1)))). % 11.29/11.47 intro zenon_D_pnotp. % 11.29/11.47 apply zenon_H10b. % 11.29/11.47 rewrite <- zenon_D_pnotp. % 11.29/11.47 exact zenon_H2c. % 11.29/11.47 cut (((e2) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H159]. % 11.29/11.47 cut (((op (e0) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H74]. % 11.29/11.47 congruence. % 11.29/11.47 apply zenon_H74. apply refl_equal. % 11.29/11.47 apply zenon_H159. apply sym_equal. exact zenon_H6c. % 11.29/11.47 (* end of lemma zenon_L353_ *) % 11.29/11.47 assert (zenon_L354_ : (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e1)) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e3))) -> False). % 11.29/11.47 do 0 intro. intros zenon_H15a zenon_H57 zenon_H1ca zenon_H216 zenon_H88 zenon_H2c zenon_H10b zenon_H79. % 11.29/11.47 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H10c | zenon_intro zenon_H15b ]. % 11.29/11.47 apply (zenon_L232_); trivial. % 11.29/11.47 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H56 | zenon_intro zenon_H15c ]. % 11.29/11.47 apply (zenon_L304_); trivial. % 11.29/11.47 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_H6c | zenon_intro zenon_H78 ]. % 11.29/11.47 apply (zenon_L353_); trivial. % 11.29/11.47 exact (zenon_H79 zenon_H78). % 11.29/11.47 (* end of lemma zenon_L354_ *) % 11.29/11.47 assert (zenon_L355_ : (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e2)) -> ((op (e3) (e1)) = (e2)) -> False). % 11.29/11.47 do 0 intro. intros zenon_H222 zenon_H2c zenon_Ha4. % 11.29/11.47 cut (((op (e0) (e1)) = (e2)) = ((op (e0) (e1)) = (op (e3) (e1)))). % 11.29/11.47 intro zenon_D_pnotp. % 11.29/11.47 apply zenon_H222. % 11.29/11.47 rewrite <- zenon_D_pnotp. % 11.29/11.47 exact zenon_H2c. % 11.29/11.47 cut (((e2) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1cc]. % 11.29/11.47 cut (((op (e0) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H74]. % 11.29/11.47 congruence. % 11.29/11.47 apply zenon_H74. apply refl_equal. % 11.29/11.47 apply zenon_H1cc. apply sym_equal. exact zenon_Ha4. % 11.29/11.47 (* end of lemma zenon_L355_ *) % 11.29/11.47 assert (zenon_L356_ : (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e3) (e2)) = (e0)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> False). % 11.29/11.47 do 0 intro. intros zenon_H223 zenon_Hf7 zenon_H1d8 zenon_H56 zenon_H1f3 zenon_H2c zenon_H222 zenon_He5 zenon_Hed. % 11.29/11.47 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H120 | zenon_intro zenon_H224 ]. % 11.29/11.47 apply (zenon_L254_); trivial. % 11.29/11.47 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_He6 | zenon_intro zenon_H225 ]. % 11.29/11.47 apply (zenon_L278_); trivial. % 11.29/11.47 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_Ha4 | zenon_intro zenon_H147 ]. % 11.29/11.47 apply (zenon_L355_); trivial. % 11.29/11.47 apply (zenon_L132_); trivial. % 11.29/11.47 (* end of lemma zenon_L356_ *) % 11.29/11.47 assert (zenon_L357_ : (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e0)) -> ((op (e3) (e3)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e0)) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (e3))) -> False). % 11.29/11.47 do 0 intro. intros zenon_H15a zenon_H14f zenon_H7a zenon_Hed zenon_He5 zenon_H222 zenon_H2c zenon_H1f3 zenon_H1d8 zenon_Hf7 zenon_H223 zenon_H68 zenon_H79. % 11.29/11.47 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H10c | zenon_intro zenon_H15b ]. % 11.29/11.47 apply (zenon_L135_); trivial. % 11.29/11.47 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H56 | zenon_intro zenon_H15c ]. % 11.29/11.47 apply (zenon_L356_); trivial. % 11.29/11.47 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_H6c | zenon_intro zenon_H78 ]. % 11.29/11.47 exact (zenon_H68 zenon_H6c). % 11.29/11.47 exact (zenon_H79 zenon_H78). % 11.29/11.47 (* end of lemma zenon_L357_ *) % 11.29/11.47 assert (zenon_L358_ : (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e1)) = (e2))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e3) (e2)) = (e0)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False). % 11.29/11.47 do 0 intro. intros zenon_H154 zenon_H79 zenon_H68 zenon_H223 zenon_Hf7 zenon_H1d8 zenon_H1f3 zenon_H2c zenon_H222 zenon_He5 zenon_H14f zenon_H15a zenon_H47 zenon_H61 zenon_H117 zenon_H18a zenon_Hed zenon_H141. % 11.29/11.47 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H7a | zenon_intro zenon_H155 ]. % 11.29/11.47 apply (zenon_L357_); trivial. % 11.29/11.47 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H90 | zenon_intro zenon_H156 ]. % 11.29/11.47 apply (zenon_L127_); trivial. % 11.29/11.47 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H62 | zenon_intro zenon_H8b ]. % 11.29/11.47 apply (zenon_L332_); trivial. % 11.29/11.47 apply (zenon_L120_); trivial. % 11.29/11.47 (* end of lemma zenon_L358_ *) % 11.29/11.47 assert (zenon_L359_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((op (e2) (e0)) = (e1)) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> ((op (e2) (e1)) = (e3)) -> (~((op (e2) (e2)) = (e2))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e1)) = (e2))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e3) (e2)) = (e0)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False). % 11.29/11.47 do 0 intro. intros zenon_H1a2 zenon_H6f zenon_H30 zenon_H41 zenon_H145 zenon_H1c1 zenon_H154 zenon_H79 zenon_H68 zenon_H223 zenon_Hf7 zenon_H1d8 zenon_H1f3 zenon_H2c zenon_H222 zenon_He5 zenon_H14f zenon_H15a zenon_H47 zenon_H61 zenon_H117 zenon_Hed zenon_H141. % 11.29/11.47 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H1a3 ]. % 11.29/11.47 apply (zenon_L108_); trivial. % 11.29/11.47 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H1a4 ]. % 11.29/11.47 apply (zenon_L131_); trivial. % 11.29/11.47 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H5a | zenon_intro zenon_H18a ]. % 11.29/11.47 exact (zenon_H1c1 zenon_H5a). % 11.29/11.47 apply (zenon_L358_); trivial. % 11.29/11.47 (* end of lemma zenon_L359_ *) % 11.29/11.47 assert (zenon_L360_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e1)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (e2))) -> (~((e2) = (e3))) -> (~((e1) = (e2))) -> ((op (e2) (e0)) = (e1)) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((op (e1) (e2)) = (e2)) -> (~((e0) = (e2))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> False). % 11.29/11.47 do 0 intro. intros zenon_H148 zenon_H141 zenon_H117 zenon_H61 zenon_H47 zenon_H15a zenon_H14f zenon_H222 zenon_H2c zenon_H1f3 zenon_H1d8 zenon_H223 zenon_H68 zenon_H79 zenon_H154 zenon_H1c1 zenon_H41 zenon_H30 zenon_H6f zenon_H1a2 zenon_H5b zenon_H27 zenon_H25 zenon_H1b8 zenon_Hfb zenon_He5 zenon_Hed. % 11.29/11.47 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H39 | zenon_intro zenon_H149 ]. % 11.29/11.47 apply (zenon_L65_); trivial. % 11.29/11.47 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H78 | zenon_intro zenon_H14a ]. % 11.29/11.47 exact (zenon_H79 zenon_H78). % 11.29/11.47 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H145 | zenon_intro zenon_H147 ]. % 11.29/11.47 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hd0 | zenon_intro zenon_Hfe ]. % 11.29/11.47 apply (zenon_L221_); trivial. % 11.29/11.47 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_He0 | zenon_intro zenon_Hff ]. % 11.29/11.47 apply (zenon_L347_); trivial. % 11.29/11.47 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Hce | zenon_intro zenon_Hf7 ]. % 11.29/11.47 apply (zenon_L174_); trivial. % 11.29/11.47 apply (zenon_L359_); trivial. % 11.29/11.47 apply (zenon_L132_); trivial. % 11.29/11.47 (* end of lemma zenon_L360_ *) % 11.29/11.47 assert (zenon_L361_ : (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e2) (e0)) = (e2)) -> ((op (e3) (e0)) = (e2)) -> False). % 11.29/11.47 do 0 intro. intros zenon_H226 zenon_Hb5 zenon_H9a. % 11.29/11.47 cut (((op (e2) (e0)) = (e2)) = ((op (e2) (e0)) = (op (e3) (e0)))). % 11.29/11.47 intro zenon_D_pnotp. % 11.29/11.47 apply zenon_H226. % 11.29/11.47 rewrite <- zenon_D_pnotp. % 11.29/11.47 exact zenon_Hb5. % 11.29/11.47 cut (((e2) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H227]. % 11.29/11.47 cut (((op (e2) (e0)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H98]. % 11.29/11.47 congruence. % 11.29/11.47 apply zenon_H98. apply refl_equal. % 11.29/11.47 apply zenon_H227. apply sym_equal. exact zenon_H9a. % 11.29/11.47 (* end of lemma zenon_L361_ *) % 11.29/11.47 assert (zenon_L362_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((op (e3) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e2) (e2)) = (e3))) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e1)) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (e2))) -> ((op (e1) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False). % 11.29/11.47 do 0 intro. intros zenon_H1a2 zenon_H9a zenon_H226 zenon_He3 zenon_Hed zenon_He2 zenon_H41 zenon_H6f zenon_H3c zenon_H167 zenon_H1c1 zenon_H62 zenon_H117. % 11.29/11.47 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H1a3 ]. % 11.29/11.47 apply (zenon_L361_); trivial. % 11.29/11.47 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H1a4 ]. % 11.29/11.47 apply (zenon_L145_); trivial. % 11.29/11.47 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H5a | zenon_intro zenon_H18a ]. % 11.29/11.47 exact (zenon_H1c1 zenon_H5a). % 11.29/11.47 apply (zenon_L332_); trivial. % 11.29/11.47 (* end of lemma zenon_L362_ *) % 11.29/11.47 assert (zenon_L363_ : (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e0)) -> ((op (e2) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (e3))) -> False). % 11.29/11.47 do 0 intro. intros zenon_H15a zenon_H14f zenon_H7a zenon_Hc5 zenon_H157 zenon_H68 zenon_H79. % 11.29/11.47 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H10c | zenon_intro zenon_H15b ]. % 11.29/11.47 apply (zenon_L135_); trivial. % 11.29/11.47 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H56 | zenon_intro zenon_H15c ]. % 11.29/11.47 apply (zenon_L239_); trivial. % 11.29/11.47 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_H6c | zenon_intro zenon_H78 ]. % 11.29/11.47 exact (zenon_H68 zenon_H6c). % 11.29/11.47 exact (zenon_H79 zenon_H78). % 11.29/11.47 (* end of lemma zenon_L363_ *) % 11.29/11.47 assert (zenon_L364_ : ((op (e1) (e3)) = (e0)) -> ((op (e1) (e2)) = (e0)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> False). % 11.29/11.47 do 0 intro. intros zenon_H7a zenon_He0 zenon_H228. % 11.29/11.47 elim (classic ((op (e1) (e3)) = (op (e1) (e3)))); [ zenon_intro zenon_H150 | zenon_intro zenon_H11a ]. % 11.29/11.47 cut (((op (e1) (e3)) = (op (e1) (e3))) = ((op (e1) (e2)) = (op (e1) (e3)))). % 11.29/11.47 intro zenon_D_pnotp. % 11.29/11.47 apply zenon_H228. % 11.29/11.47 rewrite <- zenon_D_pnotp. % 11.29/11.47 exact zenon_H150. % 11.29/11.47 cut (((op (e1) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H11a]. % 11.29/11.47 cut (((op (e1) (e3)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H229]. % 11.29/11.47 congruence. % 11.29/11.47 cut (((op (e1) (e3)) = (e0)) = ((op (e1) (e3)) = (op (e1) (e2)))). % 11.29/11.47 intro zenon_D_pnotp. % 11.29/11.47 apply zenon_H229. % 11.29/11.47 rewrite <- zenon_D_pnotp. % 11.29/11.47 exact zenon_H7a. % 11.29/11.47 cut (((e0) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H10f]. % 11.29/11.47 cut (((op (e1) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H11a]. % 11.29/11.47 congruence. % 11.29/11.47 apply zenon_H11a. apply refl_equal. % 11.29/11.47 apply zenon_H10f. apply sym_equal. exact zenon_He0. % 11.29/11.47 apply zenon_H11a. apply refl_equal. % 11.29/11.47 apply zenon_H11a. apply refl_equal. % 11.29/11.47 (* end of lemma zenon_L364_ *) % 11.29/11.47 assert (zenon_L365_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e1)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (e2))) -> (~((e2) = (e3))) -> (~((e1) = (e2))) -> ((op (e2) (e0)) = (e1)) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((op (e1) (e3)) = (e0)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e1) = (e3))) -> False). % 11.29/11.47 do 0 intro. intros zenon_H105 zenon_H10b zenon_H216 zenon_H88 zenon_H157 zenon_H148 zenon_H141 zenon_Hed zenon_H117 zenon_H61 zenon_H47 zenon_H15a zenon_H14f zenon_He5 zenon_H222 zenon_H2c zenon_H1f3 zenon_H1d8 zenon_H223 zenon_H68 zenon_H79 zenon_H154 zenon_H1c1 zenon_H41 zenon_H30 zenon_H6f zenon_H1a2 zenon_H7a zenon_H228 zenon_H49 zenon_H2b zenon_H34 zenon_H38 zenon_H44 zenon_H27 zenon_Hfb zenon_H3c. % 11.29/11.47 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H1f | zenon_intro zenon_H107 ]. % 11.29/11.47 apply (zenon_L327_); trivial. % 11.29/11.47 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H56 | zenon_intro zenon_H108 ]. % 11.29/11.47 apply (zenon_L304_); trivial. % 11.29/11.47 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hc5 | zenon_intro zenon_He6 ]. % 11.29/11.47 apply (zenon_L363_); trivial. % 11.29/11.47 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H39 | zenon_intro zenon_H149 ]. % 11.29/11.47 apply (zenon_L65_); trivial. % 11.29/11.47 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H78 | zenon_intro zenon_H14a ]. % 11.29/11.47 exact (zenon_H79 zenon_H78). % 11.29/11.47 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H145 | zenon_intro zenon_H147 ]. % 11.29/11.47 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hd0 | zenon_intro zenon_Hfe ]. % 11.29/11.47 apply (zenon_L286_); trivial. % 11.29/11.47 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_He0 | zenon_intro zenon_Hff ]. % 11.29/11.47 apply (zenon_L364_); trivial. % 11.29/11.47 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Hce | zenon_intro zenon_Hf7 ]. % 11.29/11.47 apply (zenon_L174_); trivial. % 11.29/11.47 apply (zenon_L359_); trivial. % 11.29/11.47 apply (zenon_L157_); trivial. % 11.29/11.47 (* end of lemma zenon_L365_ *) % 11.29/11.47 assert (zenon_L366_ : (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e1) (e2)) = (e3)) -> ((op (e1) (e0)) = (e2)) -> ((op (e2) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (e3))) -> False). % 11.29/11.47 do 0 intro. intros zenon_H15a zenon_H89 zenon_H58 zenon_Hc5 zenon_H157 zenon_H68 zenon_H79. % 11.29/11.47 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H10c | zenon_intro zenon_H15b ]. % 11.29/11.47 apply (zenon_L291_); trivial. % 11.29/11.47 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H56 | zenon_intro zenon_H15c ]. % 11.29/11.47 apply (zenon_L239_); trivial. % 11.29/11.47 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_H6c | zenon_intro zenon_H78 ]. % 11.29/11.47 exact (zenon_H68 zenon_H6c). % 11.29/11.47 exact (zenon_H79 zenon_H78). % 11.29/11.47 (* end of lemma zenon_L366_ *) % 11.29/11.47 assert (zenon_L367_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e1)) -> ((op (e1) (e0)) = (e2)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False). % 11.29/11.47 do 0 intro. intros zenon_H8d zenon_H41 zenon_H79 zenon_H68 zenon_H157 zenon_Hc5 zenon_H58 zenon_H15a zenon_Hed zenon_H141. % 11.29/11.47 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H75 | zenon_intro zenon_H8e ]. % 11.29/11.47 apply (zenon_L31_); trivial. % 11.29/11.47 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H78 | zenon_intro zenon_H8f ]. % 11.29/11.47 exact (zenon_H79 zenon_H78). % 11.29/11.47 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H8b ]. % 11.29/11.47 apply (zenon_L366_); trivial. % 11.29/11.47 apply (zenon_L120_); trivial. % 11.29/11.47 (* end of lemma zenon_L367_ *) % 11.29/11.47 assert (zenon_L368_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e1) (e0)) = (e2)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (e3))) -> (~((e2) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e1)) -> False). % 11.29/11.47 do 0 intro. intros zenon_H105 zenon_H71 zenon_H47 zenon_H216 zenon_H88 zenon_H141 zenon_Hed zenon_H15a zenon_H58 zenon_H157 zenon_H68 zenon_H79 zenon_H41 zenon_H8d zenon_H16a zenon_H99. % 11.29/11.47 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H1f | zenon_intro zenon_H107 ]. % 11.29/11.47 apply (zenon_L199_); trivial. % 11.29/11.47 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H56 | zenon_intro zenon_H108 ]. % 11.29/11.47 apply (zenon_L304_); trivial. % 11.29/11.47 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hc5 | zenon_intro zenon_He6 ]. % 11.29/11.47 apply (zenon_L367_); trivial. % 11.29/11.47 apply (zenon_L146_); trivial. % 11.29/11.47 (* end of lemma zenon_L368_ *) % 11.29/11.47 assert (zenon_L369_ : (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e0)) -> ((op (e3) (e1)) = (e0)) -> False). % 11.29/11.47 do 0 intro. intros zenon_H1f3 zenon_H10c zenon_H120. % 11.29/11.47 cut (((op (e1) (e1)) = (e0)) = ((op (e1) (e1)) = (op (e3) (e1)))). % 11.29/11.47 intro zenon_D_pnotp. % 11.29/11.47 apply zenon_H1f3. % 11.29/11.47 rewrite <- zenon_D_pnotp. % 11.29/11.47 exact zenon_H10c. % 11.29/11.47 cut (((e0) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1de]. % 11.29/11.47 cut (((op (e1) (e1)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1bd]. % 11.29/11.47 congruence. % 11.29/11.47 apply zenon_H1bd. apply refl_equal. % 11.29/11.47 apply zenon_H1de. apply sym_equal. exact zenon_H120. % 11.29/11.47 (* end of lemma zenon_L369_ *) % 11.29/11.47 assert (zenon_L370_ : (((op (e3) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e3)) -> False). % 11.29/11.47 do 0 intro. intros zenon_H15f zenon_He5 zenon_H147. % 11.29/11.47 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_Hed. zenon_intro zenon_H160. % 11.29/11.47 apply (zenon_L132_); trivial. % 11.29/11.47 (* end of lemma zenon_L370_ *) % 11.29/11.47 assert (zenon_L371_ : (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e3) (e2)) = (e0)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> False). % 11.29/11.47 do 0 intro. intros zenon_H223 zenon_Hf7 zenon_H1d8 zenon_H99 zenon_H16a zenon_H2c zenon_H222 zenon_H15f zenon_He5. % 11.29/11.47 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H120 | zenon_intro zenon_H224 ]. % 11.29/11.47 apply (zenon_L254_); trivial. % 11.29/11.47 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_He6 | zenon_intro zenon_H225 ]. % 11.29/11.47 apply (zenon_L146_); trivial. % 11.29/11.47 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_Ha4 | zenon_intro zenon_H147 ]. % 11.29/11.47 apply (zenon_L355_); trivial. % 11.29/11.47 apply (zenon_L370_); trivial. % 11.29/11.47 (* end of lemma zenon_L371_ *) % 11.29/11.47 assert (zenon_L372_ : (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> ((op (e3) (e0)) = (e1)) -> (~((e1) = (e2))) -> False). % 11.29/11.47 do 0 intro. intros zenon_Hb8 zenon_H27 zenon_H25 zenon_H16a zenon_H8d zenon_H41 zenon_H79 zenon_H68 zenon_H157 zenon_H15a zenon_Hed zenon_H141 zenon_H88 zenon_H216 zenon_H47 zenon_H71 zenon_H105 zenon_H95 zenon_H18a zenon_H99 zenon_H30. % 11.29/11.47 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ]. % 11.29/11.47 apply (zenon_L3_); trivial. % 11.29/11.47 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ]. % 11.29/11.47 apply (zenon_L368_); trivial. % 11.29/11.47 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ]. % 11.29/11.47 apply (zenon_L334_); trivial. % 11.29/11.47 apply (zenon_L41_); trivial. % 11.29/11.47 (* end of lemma zenon_L372_ *) % 11.29/11.47 assert (zenon_L373_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e2))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e3)) = (e0)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e1)) -> False). % 11.29/11.47 do 0 intro. intros zenon_H105 zenon_H30 zenon_H2c zenon_H216 zenon_H88 zenon_H79 zenon_H68 zenon_H157 zenon_H7a zenon_H14f zenon_H15a zenon_H16a zenon_H99. % 11.29/11.47 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H1f | zenon_intro zenon_H107 ]. % 11.29/11.47 apply (zenon_L211_); trivial. % 11.29/11.47 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H56 | zenon_intro zenon_H108 ]. % 11.29/11.47 apply (zenon_L304_); trivial. % 11.29/11.47 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hc5 | zenon_intro zenon_He6 ]. % 11.29/11.47 apply (zenon_L363_); trivial. % 11.29/11.47 apply (zenon_L146_); trivial. % 11.29/11.47 (* end of lemma zenon_L373_ *) % 11.29/11.47 assert (zenon_L374_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e3) (e0)) = (e1)) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e0)) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e0) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> ((op (e1) (e2)) = (e1)) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e2))) -> False). % 11.29/11.47 do 0 intro. intros zenon_H49 zenon_H99 zenon_H161 zenon_H38 zenon_H16a zenon_H15a zenon_H14f zenon_H157 zenon_H68 zenon_H79 zenon_H216 zenon_H105 zenon_H20 zenon_H122 zenon_H1e2 zenon_H1f3 zenon_He5 zenon_H15f zenon_H222 zenon_H1d8 zenon_H223 zenon_H194 zenon_H16e zenon_H95 zenon_H71 zenon_H141 zenon_H8d zenon_H25 zenon_H27 zenon_Hb8 zenon_He3 zenon_H34 zenon_H113 zenon_Hed zenon_Heb zenon_He2 zenon_H88 zenon_H3c zenon_H41 zenon_Hf3 zenon_H47 zenon_H30. % 11.29/11.47 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.29/11.47 apply (zenon_L3_); trivial. % 11.29/11.47 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.29/11.47 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ]. % 11.29/11.47 apply (zenon_L3_); trivial. % 11.29/11.47 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ]. % 11.29/11.47 apply (zenon_L368_); trivial. % 11.29/11.47 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ]. % 11.29/11.47 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ]. % 11.29/11.47 exact (zenon_H38 zenon_H33). % 11.29/11.47 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ]. % 11.29/11.47 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ]. % 11.29/11.47 apply (zenon_L118_); trivial. % 11.29/11.47 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ]. % 11.29/11.47 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H123 ]. % 11.29/11.47 apply (zenon_L261_); trivial. % 11.29/11.47 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H120 | zenon_intro zenon_H124 ]. % 11.29/11.47 apply (zenon_L369_); trivial. % 11.29/11.47 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H9d ]. % 11.29/11.47 apply (zenon_L371_); trivial. % 11.29/11.47 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H96 | zenon_intro zenon_H195 ]. % 11.29/11.47 apply (zenon_L71_); trivial. % 11.29/11.47 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H118 | zenon_intro zenon_H196 ]. % 11.29/11.47 apply (zenon_L150_); trivial. % 11.29/11.47 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H18a | zenon_intro zenon_H164 ]. % 11.29/11.47 apply (zenon_L372_); trivial. % 11.29/11.47 apply (zenon_L144_); trivial. % 11.29/11.47 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ]. % 11.29/11.47 apply (zenon_L92_); trivial. % 11.29/11.47 apply (zenon_L373_); trivial. % 11.29/11.47 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ]. % 11.29/11.47 apply (zenon_L233_); trivial. % 11.29/11.47 apply (zenon_L196_); trivial. % 11.29/11.47 apply (zenon_L41_); trivial. % 11.29/11.47 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.29/11.47 apply (zenon_L171_); trivial. % 11.29/11.47 apply (zenon_L15_); trivial. % 11.29/11.47 (* end of lemma zenon_L374_ *) % 11.29/11.47 assert (zenon_L375_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e0)) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e0) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> ((op (e1) (e2)) = (e1)) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e2))) -> False). % 11.29/11.47 do 0 intro. intros zenon_Hb7 zenon_H15d zenon_H1ca zenon_H167 zenon_H226 zenon_H1b8 zenon_H69 zenon_H10b zenon_H148 zenon_H117 zenon_H61 zenon_H154 zenon_H1c1 zenon_H1a2 zenon_H228 zenon_H2b zenon_H44 zenon_Hfb zenon_H49 zenon_H161 zenon_H38 zenon_H16a zenon_H15a zenon_H14f zenon_H157 zenon_H68 zenon_H79 zenon_H216 zenon_H105 zenon_H20 zenon_H122 zenon_H1e2 zenon_H1f3 zenon_He5 zenon_H15f zenon_H222 zenon_H1d8 zenon_H223 zenon_H194 zenon_H16e zenon_H95 zenon_H71 zenon_H141 zenon_H8d zenon_H25 zenon_H27 zenon_Hb8 zenon_He3 zenon_H34 zenon_H113 zenon_Hed zenon_Heb zenon_He2 zenon_H88 zenon_H3c zenon_H41 zenon_Hf3 zenon_H47 zenon_H30. % 11.29/11.47 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ]. % 11.29/11.47 apply (zenon_L129_); trivial. % 11.29/11.47 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ]. % 11.29/11.47 apply (zenon_L325_); trivial. % 11.29/11.47 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ]. % 11.29/11.47 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.29/11.47 exact (zenon_H2b zenon_H26). % 11.29/11.47 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.29/11.47 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ]. % 11.29/11.47 exact (zenon_H2b zenon_H26). % 11.29/11.47 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ]. % 11.29/11.47 apply (zenon_L352_); trivial. % 11.29/11.47 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ]. % 11.29/11.47 apply (zenon_L108_); trivial. % 11.29/11.47 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ]. % 11.29/11.47 apply (zenon_L354_); trivial. % 11.29/11.47 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ]. % 11.29/11.47 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H58 | zenon_intro zenon_H6a ]. % 11.29/11.47 apply (zenon_L292_); trivial. % 11.29/11.47 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6c | zenon_intro zenon_H6b ]. % 11.29/11.47 exact (zenon_H68 zenon_H6c). % 11.29/11.47 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H5b | zenon_intro zenon_H62 ]. % 11.29/11.47 apply (zenon_L360_); trivial. % 11.29/11.47 apply (zenon_L362_); trivial. % 11.29/11.47 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ]. % 11.29/11.47 apply (zenon_L92_); trivial. % 11.29/11.47 apply (zenon_L365_); trivial. % 11.29/11.47 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.29/11.47 apply (zenon_L171_); trivial. % 11.29/11.47 apply (zenon_L15_); trivial. % 11.29/11.47 apply (zenon_L374_); trivial. % 11.29/11.47 (* end of lemma zenon_L375_ *) % 11.29/11.47 assert (zenon_L376_ : (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (e3))) -> False). % 11.29/11.47 do 0 intro. intros zenon_H15a zenon_H1e zenon_H10b zenon_Hc5 zenon_H157 zenon_H68 zenon_H79. % 11.29/11.47 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H10c | zenon_intro zenon_H15b ]. % 11.29/11.47 apply (zenon_L87_); trivial. % 11.29/11.47 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H56 | zenon_intro zenon_H15c ]. % 11.29/11.47 apply (zenon_L239_); trivial. % 11.29/11.47 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_H6c | zenon_intro zenon_H78 ]. % 11.29/11.47 exact (zenon_H68 zenon_H6c). % 11.29/11.47 exact (zenon_H79 zenon_H78). % 11.29/11.47 (* end of lemma zenon_L376_ *) % 11.29/11.47 assert (zenon_L377_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (e3))) -> False). % 11.29/11.47 do 0 intro. intros zenon_H105 zenon_H20 zenon_H216 zenon_H88 zenon_H157 zenon_H15a zenon_H1e zenon_H10b zenon_H1f3 zenon_H68 zenon_H79. % 11.29/11.47 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H1f | zenon_intro zenon_H107 ]. % 11.29/11.47 apply (zenon_L2_); trivial. % 11.29/11.47 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H56 | zenon_intro zenon_H108 ]. % 11.29/11.47 apply (zenon_L304_); trivial. % 11.29/11.47 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hc5 | zenon_intro zenon_He6 ]. % 11.29/11.47 apply (zenon_L376_); trivial. % 11.29/11.47 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H10c | zenon_intro zenon_H15b ]. % 11.29/11.47 apply (zenon_L87_); trivial. % 11.29/11.47 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H56 | zenon_intro zenon_H15c ]. % 11.29/11.47 apply (zenon_L278_); trivial. % 11.29/11.47 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_H6c | zenon_intro zenon_H78 ]. % 11.29/11.47 exact (zenon_H68 zenon_H6c). % 11.29/11.47 exact (zenon_H79 zenon_H78). % 11.29/11.47 (* end of lemma zenon_L377_ *) % 11.29/11.47 assert (zenon_L378_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (~((e1) = (e3))) -> ((op (e1) (e2)) = (e1)) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False). % 11.29/11.47 do 0 intro. intros zenon_H8d zenon_Heb zenon_H15f zenon_He2 zenon_H10e zenon_Hd0 zenon_H34 zenon_Hf3 zenon_H79 zenon_H3c zenon_H88 zenon_Hed zenon_H141. % 11.29/11.47 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H75 | zenon_intro zenon_H8e ]. % 11.29/11.47 apply (zenon_L231_); trivial. % 11.29/11.47 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H78 | zenon_intro zenon_H8f ]. % 11.29/11.47 exact (zenon_H79 zenon_H78). % 11.29/11.47 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H8b ]. % 11.29/11.47 apply (zenon_L35_); trivial. % 11.29/11.47 apply (zenon_L120_); trivial. % 11.29/11.47 (* end of lemma zenon_L378_ *) % 11.29/11.47 assert (zenon_L379_ : ((op (e0) (e3)) = (e0)) -> ((op (e0) (e3)) = (e3)) -> (~((e0) = (e3))) -> False). % 11.29/11.47 do 0 intro. intros zenon_H72 zenon_H40 zenon_H34. % 11.29/11.47 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H35 | zenon_intro zenon_H36 ]. % 11.29/11.47 cut (((e3) = (e3)) = ((e0) = (e3))). % 11.29/11.47 intro zenon_D_pnotp. % 11.29/11.47 apply zenon_H34. % 11.29/11.47 rewrite <- zenon_D_pnotp. % 11.29/11.47 exact zenon_H35. % 11.29/11.47 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H36]. % 11.29/11.47 cut (((e3) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H37]. % 11.29/11.47 congruence. % 11.29/11.47 cut (((op (e0) (e3)) = (e0)) = ((e3) = (e0))). % 11.29/11.47 intro zenon_D_pnotp. % 11.29/11.47 apply zenon_H37. % 11.29/11.47 rewrite <- zenon_D_pnotp. % 11.29/11.47 exact zenon_H72. % 11.29/11.47 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d]. % 11.29/11.47 cut (((op (e0) (e3)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H43]. % 11.29/11.47 congruence. % 11.29/11.47 exact (zenon_H43 zenon_H40). % 11.29/11.47 apply zenon_H1d. apply refl_equal. % 11.29/11.47 apply zenon_H36. apply refl_equal. % 11.29/11.47 apply zenon_H36. apply refl_equal. % 11.29/11.47 (* end of lemma zenon_L379_ *) % 11.29/11.47 assert (zenon_L380_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> ((op (e0) (e0)) = (e1)) -> ((op (e0) (e1)) = (e2)) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e3))) -> False). % 11.29/11.47 do 0 intro. intros zenon_H44 zenon_H3c zenon_H41 zenon_H4f zenon_H2c zenon_H72 zenon_H34. % 11.29/11.47 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.29/11.47 apply (zenon_L58_); trivial. % 11.29/11.47 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.29/11.47 apply (zenon_L65_); trivial. % 11.29/11.47 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.29/11.47 apply (zenon_L227_); trivial. % 11.29/11.47 apply (zenon_L379_); trivial. % 11.29/11.47 (* end of lemma zenon_L380_ *) % 11.29/11.47 assert (zenon_L381_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((e0) = (e3))) -> ((op (e0) (e0)) = (e1)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> ((op (e1) (e2)) = (e1)) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e2))) -> False). % 11.29/11.47 do 0 intro. intros zenon_H49 zenon_H30 zenon_H34 zenon_H4f zenon_H44 zenon_Hed zenon_Heb zenon_He2 zenon_H88 zenon_H3c zenon_H41 zenon_Hf3 zenon_H72 zenon_H27. % 11.29/11.47 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.29/11.47 apply (zenon_L160_); trivial. % 11.29/11.47 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.29/11.47 apply (zenon_L380_); trivial. % 11.29/11.47 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.29/11.47 apply (zenon_L171_); trivial. % 11.29/11.47 apply (zenon_L180_); trivial. % 11.29/11.47 (* end of lemma zenon_L381_ *) % 11.29/11.47 assert (zenon_L382_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e1) = (e2))) -> ((op (e0) (e1)) = (e1)) -> ((op (e3) (e3)) = (e3)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> ((op (e1) (e2)) = (e1)) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e2))) -> False). % 11.29/11.47 do 0 intro. intros zenon_H49 zenon_H2b zenon_H30 zenon_H1f zenon_Hed zenon_Heb zenon_He2 zenon_H88 zenon_H3c zenon_H41 zenon_Hf3 zenon_H72 zenon_H27. % 11.29/11.47 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.29/11.47 exact (zenon_H2b zenon_H26). % 11.29/11.47 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.29/11.47 apply (zenon_L211_); trivial. % 11.29/11.47 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.29/11.47 apply (zenon_L171_); trivial. % 11.29/11.47 apply (zenon_L180_); trivial. % 11.29/11.47 (* end of lemma zenon_L382_ *) % 11.29/11.47 assert (zenon_L383_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> ((op (e1) (e2)) = (e1)) -> (~((e1) = (e3))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> ((((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))\/((((op (e1) (e1)) = (e1))/\(((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0)))/\(((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1)))/\(((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2)))/\((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3)))))))\/((((op (e2) (e2)) = (e2))/\(((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0)))/\(((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3)))))))\/(((op (e3) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3)))))))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e2))) -> (~((e2) = (e3))) -> (~((e1) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e1))) -> False). % 11.29/11.47 do 0 intro. intros zenon_H4c zenon_H44 zenon_H27 zenon_H2b zenon_H49 zenon_H141 zenon_Hed zenon_H88 zenon_H3c zenon_H79 zenon_Hf3 zenon_H10e zenon_He2 zenon_H1b0 zenon_H122 zenon_H34 zenon_H15d zenon_H16a zenon_Hf6 zenon_H1df zenon_H1e2 zenon_H1f0 zenon_H1f3 zenon_Hb0 zenon_Hb1 zenon_H41 zenon_H30 zenon_Hf0 zenon_H1d8 zenon_H1c1 zenon_Heb zenon_H8d zenon_H72 zenon_H20. % 11.29/11.47 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.29/11.47 apply (zenon_L381_); trivial. % 11.29/11.47 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.29/11.47 apply (zenon_L382_); trivial. % 11.29/11.47 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.29/11.47 apply (zenon_L351_); trivial. % 11.29/11.47 apply (zenon_L182_); trivial. % 11.29/11.47 (* end of lemma zenon_L383_ *) % 11.29/11.47 assert (zenon_L384_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> ((op (e1) (e1)) = (e0)) -> (~((op (e1) (e1)) = (e3))) -> (~((e2) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (e2))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False). % 11.29/11.47 do 0 intro. intros zenon_H69 zenon_H141 zenon_Hed zenon_H10c zenon_H79 zenon_H41 zenon_H8d zenon_H68 zenon_H2f zenon_H13f zenon_H18a zenon_H117. % 11.29/11.47 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H58 | zenon_intro zenon_H6a ]. % 11.29/11.47 apply (zenon_L292_); trivial. % 11.29/11.47 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6c | zenon_intro zenon_H6b ]. % 11.29/11.47 exact (zenon_H68 zenon_H6c). % 11.29/11.47 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H5b | zenon_intro zenon_H62 ]. % 11.29/11.47 apply (zenon_L316_); trivial. % 11.29/11.47 apply (zenon_L332_); trivial. % 11.29/11.47 (* end of lemma zenon_L384_ *) % 11.29/11.47 assert (zenon_L385_ : (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))))))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e0) = (e2))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e1) (e1)) = (e2))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e0) = (e1))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e1)) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((e0) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e1)) -> (~((e2) = (e3))) -> False). % 11.29/11.47 do 0 intro. intros zenon_Hb8 zenon_H25 zenon_H15d zenon_H15f zenon_H30 zenon_H161 zenon_H38 zenon_H27 zenon_H13f zenon_H2f zenon_H68 zenon_H69 zenon_H20 zenon_H88 zenon_H141 zenon_Hed zenon_H79 zenon_H8d zenon_H18a zenon_H117 zenon_H34 zenon_H113 zenon_H3c zenon_H6f zenon_H41. % 11.29/11.47 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ]. % 11.29/11.47 apply (zenon_L3_); trivial. % 11.29/11.47 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ]. % 11.29/11.47 apply (zenon_L352_); trivial. % 11.29/11.47 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ]. % 11.29/11.47 apply (zenon_L108_); trivial. % 11.29/11.47 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ]. % 11.29/11.47 exact (zenon_H38 zenon_H33). % 11.29/11.47 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ]. % 11.29/11.47 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ]. % 11.29/11.47 apply (zenon_L118_); trivial. % 11.29/11.47 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ]. % 11.29/11.47 apply (zenon_L384_); trivial. % 11.29/11.47 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ]. % 11.29/11.47 apply (zenon_L92_); trivial. % 11.29/11.47 apply (zenon_L317_); trivial. % 11.29/11.47 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ]. % 11.29/11.47 apply (zenon_L136_); trivial. % 11.29/11.47 apply (zenon_L302_); trivial. % 11.29/11.47 (* end of lemma zenon_L385_ *) % 11.29/11.47 assert (zenon_L386_ : (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> ((op (e3) (e0)) = (e1)) -> (~((e1) = (e2))) -> False). % 11.29/11.47 do 0 intro. intros zenon_Hb8 zenon_H2b zenon_H16a zenon_H8d zenon_H41 zenon_H79 zenon_H68 zenon_H157 zenon_H15a zenon_Hed zenon_H141 zenon_H88 zenon_H216 zenon_H47 zenon_H71 zenon_H105 zenon_H95 zenon_H18a zenon_H99 zenon_H30. % 11.29/11.47 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ]. % 11.29/11.47 exact (zenon_H2b zenon_H26). % 11.29/11.47 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ]. % 11.29/11.47 apply (zenon_L368_); trivial. % 11.29/11.47 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ]. % 11.29/11.47 apply (zenon_L334_); trivial. % 11.29/11.47 apply (zenon_L41_); trivial. % 11.29/11.47 (* end of lemma zenon_L386_ *) % 11.29/11.47 assert (zenon_L387_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e1) (e1)) = (e2))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e1) (e1)) = (e3))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((op (e1) (e2)) = (e1)) -> (~((e0) = (e1))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False). % 11.29/11.47 do 0 intro. intros zenon_H113 zenon_H1f zenon_H10b zenon_H1ca zenon_H15a zenon_H117 zenon_H18a zenon_H13f zenon_H2f zenon_H68 zenon_H8d zenon_H41 zenon_H79 zenon_Hed zenon_H141 zenon_H69 zenon_H88 zenon_H20 zenon_H61 zenon_H72. % 11.29/11.47 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ]. % 11.29/11.47 apply (zenon_L326_); trivial. % 11.29/11.47 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ]. % 11.29/11.47 apply (zenon_L384_); trivial. % 11.29/11.47 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ]. % 11.29/11.47 apply (zenon_L92_); trivial. % 11.29/11.47 apply (zenon_L335_); trivial. % 11.29/11.47 (* end of lemma zenon_L387_ *) % 11.29/11.47 assert (zenon_L388_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e1)) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e2)) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e1)) -> ((op (e3) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False). % 11.29/11.47 do 0 intro. intros zenon_H44 zenon_H4f zenon_H41 zenon_H2c zenon_H3c zenon_H2e zenon_Hed zenon_H13a. % 11.29/11.47 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.29/11.47 apply (zenon_L58_); trivial. % 11.29/11.47 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.29/11.47 apply (zenon_L65_); trivial. % 11.29/11.47 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.29/11.47 apply (zenon_L9_); trivial. % 11.29/11.47 apply (zenon_L113_); trivial. % 11.29/11.47 (* end of lemma zenon_L388_ *) % 11.29/11.47 assert (zenon_L389_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> ((op (e0) (e0)) = (e1)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e0) (e2)) = (e1)) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e2))) -> False). % 11.29/11.47 do 0 intro. intros zenon_H49 zenon_H13a zenon_Hed zenon_H3c zenon_H41 zenon_H4f zenon_H44 zenon_H30 zenon_H2e zenon_H72 zenon_H27. % 11.29/11.47 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.29/11.47 apply (zenon_L160_); trivial. % 11.29/11.47 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.29/11.47 apply (zenon_L388_); trivial. % 11.29/11.47 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.29/11.47 apply (zenon_L6_); trivial. % 11.29/11.47 apply (zenon_L180_); trivial. % 11.29/11.47 (* end of lemma zenon_L389_ *) % 11.29/11.47 assert (zenon_L390_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> ((op (e1) (e0)) = (e2)) -> (~((op (e1) (e1)) = (e3))) -> (~((e2) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e1) (e2)) = (e1)) -> (~((e0) = (e1))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False). % 11.29/11.47 do 0 intro. intros zenon_H113 zenon_H10b zenon_H2c zenon_H216 zenon_H1ca zenon_H15a zenon_H141 zenon_Hed zenon_H58 zenon_H79 zenon_H41 zenon_H8d zenon_H88 zenon_H20 zenon_H61 zenon_H72. % 11.29/11.47 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ]. % 11.29/11.47 apply (zenon_L354_); trivial. % 11.29/11.47 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ]. % 11.29/11.47 apply (zenon_L292_); trivial. % 11.29/11.47 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ]. % 11.29/11.47 apply (zenon_L92_); trivial. % 11.29/11.47 apply (zenon_L335_); trivial. % 11.29/11.47 (* end of lemma zenon_L390_ *) % 11.29/11.47 assert (zenon_L391_ : ((op (e1) (e3)) = (e1)) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> False). % 11.29/11.47 do 0 intro. intros zenon_H90 zenon_H88 zenon_H228. % 11.29/11.47 elim (classic ((op (e1) (e3)) = (op (e1) (e3)))); [ zenon_intro zenon_H150 | zenon_intro zenon_H11a ]. % 11.29/11.47 cut (((op (e1) (e3)) = (op (e1) (e3))) = ((op (e1) (e2)) = (op (e1) (e3)))). % 11.29/11.47 intro zenon_D_pnotp. % 11.29/11.47 apply zenon_H228. % 11.29/11.47 rewrite <- zenon_D_pnotp. % 11.29/11.47 exact zenon_H150. % 11.29/11.47 cut (((op (e1) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H11a]. % 11.29/11.47 cut (((op (e1) (e3)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H229]. % 11.29/11.47 congruence. % 11.29/11.47 cut (((op (e1) (e3)) = (e1)) = ((op (e1) (e3)) = (op (e1) (e2)))). % 11.29/11.47 intro zenon_D_pnotp. % 11.29/11.47 apply zenon_H229. % 11.29/11.47 rewrite <- zenon_D_pnotp. % 11.29/11.47 exact zenon_H90. % 11.29/11.47 cut (((e1) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H22a]. % 11.29/11.47 cut (((op (e1) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H11a]. % 11.29/11.47 congruence. % 11.29/11.47 apply zenon_H11a. apply refl_equal. % 11.29/11.47 apply zenon_H22a. apply sym_equal. exact zenon_H88. % 11.29/11.47 apply zenon_H11a. apply refl_equal. % 11.29/11.47 apply zenon_H11a. apply refl_equal. % 11.29/11.47 (* end of lemma zenon_L391_ *) % 11.29/11.47 assert (zenon_L392_ : (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e2)) = (e1)) -> ((op (e2) (e3)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e1)) -> False). % 11.29/11.47 do 0 intro. intros zenon_H1d5 zenon_H20 zenon_H72 zenon_H228 zenon_H88 zenon_H18a zenon_H30 zenon_He5 zenon_He6. % 11.29/11.47 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H47 | zenon_intro zenon_H1d6 ]. % 11.29/11.47 apply (zenon_L182_); trivial. % 11.29/11.47 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H90 | zenon_intro zenon_H1d7 ]. % 11.29/11.47 apply (zenon_L391_); trivial. % 11.29/11.47 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H118 | zenon_intro zenon_He7 ]. % 11.29/11.47 apply (zenon_L245_); trivial. % 11.29/11.47 apply (zenon_L72_); trivial. % 11.29/11.47 (* end of lemma zenon_L392_ *) % 11.29/11.47 assert (zenon_L393_ : (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e1)) -> ((op (e3) (e2)) = (e1)) -> False). % 11.29/11.47 do 0 intro. intros zenon_H125 zenon_H88 zenon_H1d9. % 11.29/11.47 cut (((op (e1) (e2)) = (e1)) = ((op (e1) (e2)) = (op (e3) (e2)))). % 11.29/11.47 intro zenon_D_pnotp. % 11.29/11.47 apply zenon_H125. % 11.29/11.47 rewrite <- zenon_D_pnotp. % 11.29/11.47 exact zenon_H88. % 11.29/11.47 cut (((e1) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H1da]. % 11.29/11.47 cut (((op (e1) (e2)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H12a]. % 11.29/11.47 congruence. % 11.29/11.47 apply zenon_H12a. apply refl_equal. % 11.29/11.47 apply zenon_H1da. apply sym_equal. exact zenon_H1d9. % 11.29/11.47 (* end of lemma zenon_L393_ *) % 11.29/11.47 assert (zenon_L394_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> ((op (e2) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((e1) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e2)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e1) (e2)) = (e1)) -> (~((e0) = (e1))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False). % 11.29/11.47 do 0 intro. intros zenon_H113 zenon_H79 zenon_H10b zenon_H2c zenon_H216 zenon_H1ca zenon_H15a zenon_H141 zenon_Hed zenon_H18a zenon_H117 zenon_H14f zenon_H154 zenon_H125 zenon_H1d5 zenon_H228 zenon_H30 zenon_He5 zenon_H9a zenon_H1f0 zenon_H88 zenon_H20 zenon_H61 zenon_H72. % 11.29/11.47 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ]. % 11.29/11.47 apply (zenon_L354_); trivial. % 11.29/11.47 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ]. % 11.29/11.47 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H99 | zenon_intro zenon_H1f1 ]. % 11.29/11.47 apply (zenon_L41_); trivial. % 11.29/11.47 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_He6 | zenon_intro zenon_H1f2 ]. % 11.29/11.47 apply (zenon_L392_); trivial. % 11.29/11.47 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H1d9 | zenon_intro zenon_He7 ]. % 11.29/11.47 apply (zenon_L393_); trivial. % 11.29/11.47 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H7a | zenon_intro zenon_H155 ]. % 11.29/11.47 apply (zenon_L135_); trivial. % 11.29/11.47 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H90 | zenon_intro zenon_H156 ]. % 11.29/11.47 apply (zenon_L248_); trivial. % 11.29/11.47 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H62 | zenon_intro zenon_H8b ]. % 11.29/11.47 apply (zenon_L332_); trivial. % 11.29/11.47 apply (zenon_L120_); trivial. % 11.29/11.47 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ]. % 11.29/11.47 apply (zenon_L92_); trivial. % 11.29/11.47 apply (zenon_L335_); trivial. % 11.29/11.47 (* end of lemma zenon_L394_ *) % 11.29/11.47 assert (zenon_L395_ : (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e2)) = (e1)) -> ((op (e2) (e3)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e1)) -> False). % 11.29/11.47 do 0 intro. intros zenon_H1d5 zenon_H20 zenon_H72 zenon_H228 zenon_H88 zenon_H18a zenon_H30 zenon_H15d zenon_H99. % 11.29/11.47 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H47 | zenon_intro zenon_H1d6 ]. % 11.29/11.47 apply (zenon_L182_); trivial. % 11.29/11.47 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H90 | zenon_intro zenon_H1d7 ]. % 11.29/11.47 apply (zenon_L391_); trivial. % 11.29/11.47 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H118 | zenon_intro zenon_He7 ]. % 11.29/11.48 apply (zenon_L245_); trivial. % 11.29/11.48 apply (zenon_L262_); trivial. % 11.29/11.48 (* end of lemma zenon_L395_ *) % 11.29/11.48 assert (zenon_L396_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e2))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> ((op (e2) (e3)) = (e2)) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e2) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e0)) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((e1) = (e3))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e1))) -> False). % 11.29/11.48 do 0 intro. intros zenon_H4c zenon_H13f zenon_H68 zenon_H69 zenon_H15d zenon_H30 zenon_H18a zenon_H88 zenon_H228 zenon_H1d5 zenon_H49 zenon_H61 zenon_H1f0 zenon_He5 zenon_H125 zenon_H154 zenon_H14f zenon_H117 zenon_Hed zenon_H141 zenon_H15a zenon_H1ca zenon_H216 zenon_H10b zenon_H79 zenon_H113 zenon_H41 zenon_H8d zenon_H25 zenon_H27 zenon_Hb8 zenon_H16e zenon_H3c zenon_H13a zenon_H44 zenon_Hb7 zenon_H72 zenon_H20. % 11.29/11.48 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.29/11.48 apply (zenon_L129_); trivial. % 11.29/11.48 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.29/11.48 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.29/11.48 apply (zenon_L3_); trivial. % 11.29/11.48 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.29/11.48 apply (zenon_L211_); trivial. % 11.29/11.48 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.29/11.48 apply (zenon_L387_); trivial. % 11.29/11.48 apply (zenon_L180_); trivial. % 11.29/11.48 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.29/11.48 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ]. % 11.29/11.48 apply (zenon_L389_); trivial. % 11.29/11.48 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ]. % 11.29/11.48 apply (zenon_L325_); trivial. % 11.29/11.48 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ]. % 11.29/11.48 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.29/11.48 apply (zenon_L3_); trivial. % 11.29/11.48 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.29/11.48 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ]. % 11.29/11.48 apply (zenon_L3_); trivial. % 11.29/11.48 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ]. % 11.29/11.48 apply (zenon_L390_); trivial. % 11.29/11.48 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ]. % 11.29/11.48 apply (zenon_L108_); trivial. % 11.29/11.48 apply (zenon_L394_); trivial. % 11.29/11.48 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.29/11.48 apply (zenon_L6_); trivial. % 11.29/11.48 apply (zenon_L213_); trivial. % 11.29/11.48 apply (zenon_L395_); trivial. % 11.29/11.48 apply (zenon_L182_); trivial. % 11.29/11.48 (* end of lemma zenon_L396_ *) % 11.29/11.48 assert (zenon_L397_ : (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> ((op (e0) (e0)) = (e1)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> ((op (e2) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((e1) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e1) (e2)) = (e1)) -> (~((e0) = (e1))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False). % 11.29/11.48 do 0 intro. intros zenon_Hb8 zenon_H4f zenon_H8d zenon_H41 zenon_H95 zenon_H113 zenon_H79 zenon_H10b zenon_H2c zenon_H216 zenon_H1ca zenon_H15a zenon_H141 zenon_Hed zenon_H18a zenon_H117 zenon_H14f zenon_H154 zenon_H125 zenon_H1d5 zenon_H228 zenon_H30 zenon_He5 zenon_H1f0 zenon_H88 zenon_H20 zenon_H61 zenon_H72. % 11.29/11.48 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ]. % 11.29/11.48 apply (zenon_L160_); trivial. % 11.29/11.48 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ]. % 11.29/11.48 apply (zenon_L390_); trivial. % 11.29/11.48 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ]. % 11.29/11.48 apply (zenon_L334_); trivial. % 11.29/11.48 apply (zenon_L394_); trivial. % 11.29/11.48 (* end of lemma zenon_L397_ *) % 11.29/11.48 assert (zenon_L398_ : (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (e3))) -> False). % 11.29/11.48 do 0 intro. intros zenon_H15a zenon_H57 zenon_H1ca zenon_Hc5 zenon_H157 zenon_H68 zenon_H79. % 11.29/11.48 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H10c | zenon_intro zenon_H15b ]. % 11.29/11.48 apply (zenon_L232_); trivial. % 11.29/11.48 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H56 | zenon_intro zenon_H15c ]. % 11.29/11.48 apply (zenon_L239_); trivial. % 11.29/11.48 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_H6c | zenon_intro zenon_H78 ]. % 11.29/11.48 exact (zenon_H68 zenon_H6c). % 11.29/11.48 exact (zenon_H79 zenon_H78). % 11.29/11.48 (* end of lemma zenon_L398_ *) % 11.29/11.48 assert (zenon_L399_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> ((op (e2) (e3)) = (e2)) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e0)) = (e0)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e1))) -> False). % 11.29/11.48 do 0 intro. intros zenon_H4c zenon_H157 zenon_H34 zenon_Hb8 zenon_H95 zenon_H113 zenon_H117 zenon_H14f zenon_H154 zenon_H125 zenon_H1f0 zenon_H61 zenon_H15d zenon_H30 zenon_H18a zenon_H88 zenon_H228 zenon_H1d5 zenon_H105 zenon_H79 zenon_H68 zenon_H10b zenon_H1ca zenon_H57 zenon_H15a zenon_H216 zenon_Hc4 zenon_He5 zenon_H8d zenon_H3c zenon_Hed zenon_H141 zenon_H49 zenon_H13a zenon_H41 zenon_H44 zenon_H27 zenon_Hb7 zenon_H72 zenon_H20. % 11.29/11.48 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.29/11.48 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.29/11.48 apply (zenon_L160_); trivial. % 11.29/11.48 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.29/11.48 apply (zenon_L397_); trivial. % 11.29/11.48 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.29/11.48 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.29/11.48 apply (zenon_L58_); trivial. % 11.29/11.48 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.29/11.48 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H1f | zenon_intro zenon_H107 ]. % 11.29/11.48 apply (zenon_L130_); trivial. % 11.29/11.48 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H56 | zenon_intro zenon_H108 ]. % 11.29/11.48 apply (zenon_L304_); trivial. % 11.29/11.48 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hc5 | zenon_intro zenon_He6 ]. % 11.29/11.48 apply (zenon_L398_); trivial. % 11.29/11.48 apply (zenon_L392_); trivial. % 11.29/11.48 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.29/11.48 apply (zenon_L13_); trivial. % 11.29/11.48 apply (zenon_L379_); trivial. % 11.29/11.48 apply (zenon_L180_); trivial. % 11.29/11.48 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.29/11.48 apply (zenon_L326_); trivial. % 11.29/11.48 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.29/11.48 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ]. % 11.29/11.48 apply (zenon_L389_); trivial. % 11.29/11.48 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ]. % 11.29/11.48 apply (zenon_L325_); trivial. % 11.29/11.48 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ]. % 11.29/11.48 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H1f | zenon_intro zenon_H107 ]. % 11.29/11.48 apply (zenon_L326_); trivial. % 11.29/11.48 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H56 | zenon_intro zenon_H108 ]. % 11.29/11.48 apply (zenon_L304_); trivial. % 11.29/11.48 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hc5 | zenon_intro zenon_He6 ]. % 11.29/11.48 apply (zenon_L53_); trivial. % 11.29/11.48 apply (zenon_L392_); trivial. % 11.29/11.48 apply (zenon_L395_); trivial. % 11.29/11.48 apply (zenon_L182_); trivial. % 11.29/11.48 (* end of lemma zenon_L399_ *) % 11.29/11.48 assert (zenon_L400_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e0) = (e3))) -> ((op (e1) (e0)) = (e3)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e1) (e1)) = (e2))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e1) (e1)) = (e3))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((op (e1) (e2)) = (e1)) -> (~((e0) = (e1))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False). % 11.29/11.48 do 0 intro. intros zenon_H113 zenon_H34 zenon_H75 zenon_H117 zenon_H18a zenon_H13f zenon_H2f zenon_H68 zenon_H8d zenon_H41 zenon_H79 zenon_Hed zenon_H141 zenon_H69 zenon_H88 zenon_H20 zenon_H61 zenon_H72. % 11.29/11.48 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ]. % 11.29/11.48 apply (zenon_L118_); trivial. % 11.29/11.48 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ]. % 11.29/11.48 apply (zenon_L384_); trivial. % 11.29/11.48 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ]. % 11.29/11.48 apply (zenon_L92_); trivial. % 11.29/11.48 apply (zenon_L335_); trivial. % 11.29/11.48 (* end of lemma zenon_L400_ *) % 11.29/11.48 assert (zenon_L401_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e0) = (e3))) -> (((op (e3) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> ((op (e2) (e3)) = (e2)) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e2) (e0)) = (e0)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (~((e1) = (e3))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e1))) -> False). % 11.29/11.48 do 0 intro. intros zenon_H4c zenon_H161 zenon_H34 zenon_H15f zenon_Hb8 zenon_H95 zenon_H216 zenon_H14f zenon_H154 zenon_H125 zenon_He5 zenon_H1f0 zenon_H61 zenon_H69 zenon_H68 zenon_H13f zenon_H117 zenon_H15a zenon_H1ca zenon_H10b zenon_H113 zenon_H16e zenon_H15d zenon_H30 zenon_H18a zenon_H88 zenon_H228 zenon_H1d5 zenon_H6e zenon_H8d zenon_H79 zenon_H3c zenon_Hed zenon_H141 zenon_H49 zenon_H13a zenon_H41 zenon_H44 zenon_H27 zenon_Hb7 zenon_H72 zenon_H20. % 11.29/11.48 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.29/11.48 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.29/11.48 apply (zenon_L160_); trivial. % 11.29/11.48 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.29/11.48 apply (zenon_L397_); trivial. % 11.29/11.48 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.29/11.48 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ]. % 11.29/11.48 apply (zenon_L58_); trivial. % 11.29/11.48 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ]. % 11.29/11.48 apply (zenon_L400_); trivial. % 11.29/11.48 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ]. % 11.29/11.48 apply (zenon_L161_); trivial. % 11.29/11.48 apply (zenon_L142_); trivial. % 11.29/11.48 apply (zenon_L180_); trivial. % 11.29/11.48 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.29/11.48 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ]. % 11.29/11.48 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.29/11.48 apply (zenon_L160_); trivial. % 11.29/11.48 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.29/11.48 apply (zenon_L211_); trivial. % 11.29/11.48 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.29/11.48 apply (zenon_L387_); trivial. % 11.29/11.48 apply (zenon_L213_); trivial. % 11.29/11.48 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ]. % 11.29/11.48 apply (zenon_L325_); trivial. % 11.29/11.48 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ]. % 11.29/11.48 apply (zenon_L29_); trivial. % 11.29/11.48 apply (zenon_L395_); trivial. % 11.29/11.48 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.29/11.48 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ]. % 11.29/11.48 apply (zenon_L389_); trivial. % 11.29/11.48 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ]. % 11.29/11.48 apply (zenon_L325_); trivial. % 11.29/11.48 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ]. % 11.29/11.48 apply (zenon_L29_); trivial. % 11.29/11.48 apply (zenon_L395_); trivial. % 11.29/11.48 apply (zenon_L182_); trivial. % 11.29/11.48 (* end of lemma zenon_L401_ *) % 11.29/11.48 assert (zenon_L402_ : (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e0) (e0)) = (e1)) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((e0) = (e1))) -> ((op (e1) (e2)) = (e1)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e1) (e1)) = (e3))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e2))) -> False). % 11.29/11.48 do 0 intro. intros zenon_Hb8 zenon_H30 zenon_H4f zenon_H72 zenon_H61 zenon_H20 zenon_H88 zenon_H8d zenon_H41 zenon_H79 zenon_Hed zenon_H141 zenon_H15a zenon_H1ca zenon_H216 zenon_H2c zenon_H10b zenon_H113 zenon_H95 zenon_H18a zenon_Hc3 zenon_H27. % 11.29/11.48 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ]. % 11.29/11.48 apply (zenon_L160_); trivial. % 11.29/11.48 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ]. % 11.29/11.48 apply (zenon_L390_); trivial. % 11.29/11.48 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ]. % 11.29/11.48 apply (zenon_L334_); trivial. % 11.29/11.48 apply (zenon_L51_); trivial. % 11.29/11.48 (* end of lemma zenon_L402_ *) % 11.29/11.48 assert (zenon_L403_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e3)) -> ((op (e2) (e1)) = (e0)) -> (~((e1) = (e2))) -> ((op (e2) (e3)) = (e2)) -> False). % 11.29/11.48 do 0 intro. intros zenon_H11b zenon_H3c zenon_H1f zenon_Hcb zenon_H152 zenon_Hcc zenon_H30 zenon_H18a. % 11.29/11.48 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H6f | zenon_intro zenon_H11d ]. % 11.29/11.48 apply (zenon_L136_); trivial. % 11.29/11.48 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H11e ]. % 11.29/11.48 apply (zenon_L330_); trivial. % 11.29/11.48 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H11f | zenon_intro zenon_H118 ]. % 11.29/11.48 apply (zenon_L242_); trivial. % 11.29/11.48 apply (zenon_L245_); trivial. % 11.29/11.48 (* end of lemma zenon_L403_ *) % 11.29/11.48 assert (zenon_L404_ : (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e1) (e2)) = (e3)) -> ((op (e1) (e0)) = (e2)) -> ((op (e3) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (e3))) -> False). % 11.29/11.48 do 0 intro. intros zenon_H15a zenon_H89 zenon_H58 zenon_He6 zenon_H1f3 zenon_H68 zenon_H79. % 11.29/11.48 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H10c | zenon_intro zenon_H15b ]. % 11.29/11.48 apply (zenon_L291_); trivial. % 11.29/11.48 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H56 | zenon_intro zenon_H15c ]. % 11.29/11.48 apply (zenon_L278_); trivial. % 11.29/11.48 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_H6c | zenon_intro zenon_H78 ]. % 11.29/11.48 exact (zenon_H68 zenon_H6c). % 11.29/11.48 exact (zenon_H79 zenon_H78). % 11.29/11.48 (* end of lemma zenon_L404_ *) % 11.29/11.48 assert (zenon_L405_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e1)) -> ((op (e1) (e0)) = (e2)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False). % 11.29/11.48 do 0 intro. intros zenon_H8d zenon_H34 zenon_H57 zenon_H79 zenon_H68 zenon_H1f3 zenon_He6 zenon_H58 zenon_H15a zenon_Hed zenon_H141. % 11.29/11.48 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H75 | zenon_intro zenon_H8e ]. % 11.29/11.48 apply (zenon_L118_); trivial. % 11.29/11.48 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H78 | zenon_intro zenon_H8f ]. % 11.29/11.48 exact (zenon_H79 zenon_H78). % 11.29/11.48 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H8b ]. % 11.29/11.48 apply (zenon_L404_); trivial. % 11.29/11.48 apply (zenon_L120_); trivial. % 11.29/11.48 (* end of lemma zenon_L405_ *) % 11.29/11.48 assert (zenon_L406_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((e0) = (e2))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e1)) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e1) (e2)) = (e1)) -> (~((e0) = (e1))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e0)) = (e1)) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False). % 11.29/11.48 do 0 intro. intros zenon_H49 zenon_H10b zenon_H27 zenon_Hc3 zenon_H95 zenon_H44 zenon_H15d zenon_H15f zenon_H113 zenon_H16a zenon_H105 zenon_H30 zenon_Hcb zenon_H3c zenon_H11b zenon_H216 zenon_H157 zenon_H1ca zenon_H68 zenon_H1f3 zenon_H15a zenon_H69 zenon_H13f zenon_H117 zenon_H203 zenon_H141 zenon_Hed zenon_H79 zenon_H8d zenon_H88 zenon_H20 zenon_H61 zenon_H4f zenon_H161 zenon_H41 zenon_H72 zenon_H34 zenon_Hb8 zenon_H18a zenon_H16e. % 11.29/11.48 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.29/11.48 apply (zenon_L160_); trivial. % 11.29/11.48 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.29/11.48 apply (zenon_L402_); trivial. % 11.29/11.48 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.29/11.48 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ]. % 11.29/11.48 apply (zenon_L160_); trivial. % 11.29/11.48 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ]. % 11.29/11.48 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.29/11.48 apply (zenon_L58_); trivial. % 11.29/11.48 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.29/11.48 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ]. % 11.29/11.48 apply (zenon_L58_); trivial. % 11.29/11.48 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ]. % 11.29/11.48 apply (zenon_L31_); trivial. % 11.29/11.48 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ]. % 11.29/11.48 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ]. % 11.29/11.48 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H1e | zenon_intro zenon_H204 ]. % 11.29/11.48 apply (zenon_L8_); trivial. % 11.29/11.48 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H10c | zenon_intro zenon_H205 ]. % 11.29/11.48 apply (zenon_L384_); trivial. % 11.29/11.48 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_Hcc | zenon_intro zenon_H120 ]. % 11.29/11.48 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H1f | zenon_intro zenon_H107 ]. % 11.29/11.48 apply (zenon_L403_); trivial. % 11.29/11.48 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H56 | zenon_intro zenon_H108 ]. % 11.29/11.48 apply (zenon_L304_); trivial. % 11.29/11.48 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hc5 | zenon_intro zenon_He6 ]. % 11.29/11.48 apply (zenon_L398_); trivial. % 11.29/11.48 apply (zenon_L405_); trivial. % 11.29/11.48 apply (zenon_L258_); trivial. % 11.29/11.48 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ]. % 11.29/11.48 apply (zenon_L292_); trivial. % 11.29/11.48 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ]. % 11.29/11.48 apply (zenon_L92_); trivial. % 11.29/11.48 apply (zenon_L335_); trivial. % 11.29/11.48 apply (zenon_L142_); trivial. % 11.29/11.48 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.29/11.48 apply (zenon_L13_); trivial. % 11.29/11.48 apply (zenon_L379_); trivial. % 11.29/11.48 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ]. % 11.29/11.48 apply (zenon_L334_); trivial. % 11.29/11.48 apply (zenon_L51_); trivial. % 11.29/11.48 apply (zenon_L213_); trivial. % 11.29/11.48 (* end of lemma zenon_L406_ *) % 11.29/11.48 assert (zenon_L407_ : (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((e0) = (e1))) -> ((op (e1) (e2)) = (e1)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e1) (e1)) = (e3))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e2))) -> False). % 11.29/11.48 do 0 intro. intros zenon_Hb8 zenon_H2b zenon_H72 zenon_H61 zenon_H20 zenon_H88 zenon_H8d zenon_H41 zenon_H79 zenon_Hed zenon_H141 zenon_H15a zenon_H1ca zenon_H216 zenon_H2c zenon_H10b zenon_H113 zenon_H95 zenon_H18a zenon_Hc3 zenon_H27. % 11.29/11.48 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ]. % 11.29/11.48 exact (zenon_H2b zenon_H26). % 11.29/11.48 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ]. % 11.29/11.48 apply (zenon_L390_); trivial. % 11.29/11.48 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ]. % 11.29/11.48 apply (zenon_L334_); trivial. % 11.29/11.48 apply (zenon_L51_); trivial. % 11.29/11.48 (* end of lemma zenon_L407_ *) % 11.29/11.48 assert (zenon_L408_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e2))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e1) (e2)) = (e1)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e1) (e1)) = (e3))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e1))) -> False). % 11.29/11.48 do 0 intro. intros zenon_H12d zenon_Hc4 zenon_Hb7 zenon_H13a zenon_H1d5 zenon_H228 zenon_H1f0 zenon_He5 zenon_H125 zenon_H154 zenon_H14f zenon_H4c zenon_H34 zenon_H161 zenon_H203 zenon_H1f3 zenon_H157 zenon_H11b zenon_H3c zenon_Hcb zenon_H105 zenon_H16a zenon_H15f zenon_H15d zenon_H44 zenon_H117 zenon_H13f zenon_H68 zenon_H69 zenon_H16e zenon_H18a zenon_H30 zenon_Hb8 zenon_H2b zenon_H61 zenon_H88 zenon_H8d zenon_H41 zenon_H79 zenon_Hed zenon_H141 zenon_H15a zenon_H1ca zenon_H216 zenon_H10b zenon_H113 zenon_H95 zenon_H27 zenon_H49 zenon_H72 zenon_H20. % 11.29/11.48 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H25 | zenon_intro zenon_H12e ]. % 11.29/11.48 apply (zenon_L396_); trivial. % 11.29/11.48 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H57 | zenon_intro zenon_H12f ]. % 11.29/11.48 apply (zenon_L399_); trivial. % 11.29/11.48 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H6e | zenon_intro zenon_Hc3 ]. % 11.29/11.48 apply (zenon_L401_); trivial. % 11.29/11.48 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.29/11.48 apply (zenon_L406_); trivial. % 11.29/11.48 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.29/11.48 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.29/11.48 exact (zenon_H2b zenon_H26). % 11.29/11.48 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.29/11.48 apply (zenon_L407_); trivial. % 11.29/11.48 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.29/11.48 apply (zenon_L387_); trivial. % 11.29/11.48 apply (zenon_L180_); trivial. % 11.29/11.48 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.29/11.48 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.29/11.48 exact (zenon_H2b zenon_H26). % 11.29/11.48 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.29/11.48 apply (zenon_L407_); trivial. % 11.29/11.48 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.29/11.48 apply (zenon_L6_); trivial. % 11.29/11.48 apply (zenon_L213_); trivial. % 11.29/11.48 apply (zenon_L182_); trivial. % 11.29/11.48 (* end of lemma zenon_L408_ *) % 11.29/11.48 assert (zenon_L409_ : (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e2))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e1) (e2)) = (e1)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e1) (e1)) = (e3))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e1))) -> False). % 11.29/11.48 do 0 intro. intros zenon_H18f zenon_H71 zenon_H1b8 zenon_H148 zenon_H222 zenon_H1d8 zenon_H223 zenon_H1c1 zenon_H1a2 zenon_Hfb zenon_H10e zenon_H38 zenon_H12d zenon_Hc4 zenon_Hb7 zenon_H13a zenon_H1d5 zenon_H228 zenon_H1f0 zenon_He5 zenon_H125 zenon_H154 zenon_H14f zenon_H4c zenon_H34 zenon_H161 zenon_H203 zenon_H1f3 zenon_H157 zenon_H11b zenon_H3c zenon_Hcb zenon_H105 zenon_H16a zenon_H15f zenon_H15d zenon_H44 zenon_H117 zenon_H13f zenon_H68 zenon_H69 zenon_H16e zenon_H18a zenon_H30 zenon_Hb8 zenon_H2b zenon_H61 zenon_H88 zenon_H8d zenon_H41 zenon_H79 zenon_Hed zenon_H141 zenon_H15a zenon_H1ca zenon_H216 zenon_H10b zenon_H113 zenon_H95 zenon_H27 zenon_H49 zenon_H20. % 11.29/11.48 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H25 | zenon_intro zenon_H190 ]. % 11.29/11.48 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.29/11.48 apply (zenon_L129_); trivial. % 11.29/11.48 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.29/11.48 apply (zenon_L214_); trivial. % 11.29/11.48 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.29/11.48 apply (zenon_L216_); trivial. % 11.29/11.48 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ]. % 11.29/11.48 apply (zenon_L129_); trivial. % 11.29/11.48 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ]. % 11.29/11.48 apply (zenon_L106_); trivial. % 11.29/11.48 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ]. % 11.29/11.48 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.29/11.48 exact (zenon_H2b zenon_H26). % 11.29/11.48 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.29/11.48 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ]. % 11.29/11.48 exact (zenon_H2b zenon_H26). % 11.29/11.48 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ]. % 11.29/11.48 apply (zenon_L352_); trivial. % 11.29/11.48 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ]. % 11.29/11.48 apply (zenon_L108_); trivial. % 11.29/11.48 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ]. % 11.29/11.48 exact (zenon_H38 zenon_H33). % 11.29/11.48 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ]. % 11.29/11.48 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ]. % 11.29/11.48 apply (zenon_L118_); trivial. % 11.29/11.48 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ]. % 11.29/11.48 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H58 | zenon_intro zenon_H6a ]. % 11.29/11.48 apply (zenon_L292_); trivial. % 11.29/11.48 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6c | zenon_intro zenon_H6b ]. % 11.29/11.48 exact (zenon_H68 zenon_H6c). % 11.29/11.48 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H5b | zenon_intro zenon_H62 ]. % 11.29/11.48 apply (zenon_L360_); trivial. % 11.29/11.48 apply (zenon_L332_); trivial. % 11.29/11.48 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ]. % 11.29/11.48 apply (zenon_L92_); trivial. % 11.29/11.48 apply (zenon_L365_); trivial. % 11.29/11.48 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ]. % 11.29/11.48 apply (zenon_L136_); trivial. % 11.29/11.48 apply (zenon_L302_); trivial. % 11.29/11.48 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.29/11.48 apply (zenon_L385_); trivial. % 11.29/11.48 apply (zenon_L15_); trivial. % 11.29/11.48 apply (zenon_L386_); trivial. % 11.29/11.48 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H1e | zenon_intro zenon_H191 ]. % 11.29/11.48 apply (zenon_L377_); trivial. % 11.29/11.48 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H72 ]. % 11.29/11.48 apply (zenon_L295_); trivial. % 11.29/11.48 apply (zenon_L408_); trivial. % 11.29/11.48 (* end of lemma zenon_L409_ *) % 11.29/11.48 assert (zenon_L410_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e1)) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (~((e1) = (e3))) -> ((op (e1) (e2)) = (e1)) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False). % 11.29/11.48 do 0 intro. intros zenon_H8d zenon_H201 zenon_He2 zenon_H10e zenon_H2e zenon_Hf3 zenon_H79 zenon_H3c zenon_H88 zenon_Hed zenon_H141. % 11.29/11.48 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H75 | zenon_intro zenon_H8e ]. % 11.29/11.48 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H3b | zenon_intro zenon_Hf4 ]. % 11.29/11.48 apply (zenon_L9_); trivial. % 11.29/11.48 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H89 | zenon_intro zenon_Hf5 ]. % 11.29/11.48 apply (zenon_L229_); trivial. % 11.29/11.48 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_He1 | zenon_intro zenon_Hec ]. % 11.29/11.48 exact (zenon_He2 zenon_He1). % 11.29/11.48 exact (zenon_H201 zenon_Hec). % 11.29/11.48 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H78 | zenon_intro zenon_H8f ]. % 11.29/11.48 exact (zenon_H79 zenon_H78). % 11.29/11.48 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H8b ]. % 11.29/11.48 apply (zenon_L35_); trivial. % 11.29/11.48 apply (zenon_L120_); trivial. % 11.29/11.48 (* end of lemma zenon_L410_ *) % 11.29/11.48 assert (zenon_L411_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (~((e0) = (e2))) -> (~((e2) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> ((op (e1) (e2)) = (e1)) -> (~((e1) = (e3))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e3) (e2)) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e1))) -> False). % 11.29/11.48 do 0 intro. intros zenon_H4c zenon_H44 zenon_H34 zenon_H27 zenon_H41 zenon_Heb zenon_H30 zenon_H2b zenon_H49 zenon_H141 zenon_Hed zenon_H88 zenon_H3c zenon_H79 zenon_Hf3 zenon_H10e zenon_He2 zenon_H201 zenon_H8d zenon_H72 zenon_H20. % 11.29/11.48 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.29/11.48 apply (zenon_L381_); trivial. % 11.29/11.48 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.29/11.48 apply (zenon_L382_); trivial. % 11.29/11.48 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.29/11.48 apply (zenon_L410_); trivial. % 11.29/11.48 apply (zenon_L182_); trivial. % 11.29/11.48 (* end of lemma zenon_L411_ *) % 11.29/11.48 assert (zenon_L412_ : (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e3) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (~((e0) = (e2))) -> (~((e2) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> ((op (e1) (e2)) = (e1)) -> (~((e1) = (e3))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e3) (e2)) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e0) = (e1))) -> False). % 11.29/11.48 do 0 intro. intros zenon_H18f zenon_H113 zenon_He3 zenon_Hb8 zenon_H71 zenon_H95 zenon_H16e zenon_H194 zenon_H223 zenon_H1d8 zenon_H222 zenon_He5 zenon_H1e2 zenon_H122 zenon_H14f zenon_H16a zenon_H38 zenon_H161 zenon_Hfb zenon_H228 zenon_H1a2 zenon_H1c1 zenon_H154 zenon_H61 zenon_H117 zenon_H148 zenon_H69 zenon_H1b8 zenon_H226 zenon_H167 zenon_H1ca zenon_H15d zenon_Hb7 zenon_H13a zenon_H1aa zenon_H197 zenon_H212 zenon_H92 zenon_Hb9 zenon_H5c zenon_Hcb zenon_H106 zenon_H11b zenon_H16c zenon_H68 zenon_H1f3 zenon_H10b zenon_H15a zenon_H157 zenon_H216 zenon_H105 zenon_H15f zenon_H4c zenon_H44 zenon_H34 zenon_H27 zenon_H41 zenon_Heb zenon_H30 zenon_H2b zenon_H49 zenon_H141 zenon_Hed zenon_H88 zenon_H3c zenon_H79 zenon_Hf3 zenon_H10e zenon_He2 zenon_H201 zenon_H8d zenon_H20. % 11.29/11.48 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H25 | zenon_intro zenon_H190 ]. % 11.29/11.48 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.29/11.48 apply (zenon_L129_); trivial. % 11.29/11.48 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.29/11.48 apply (zenon_L349_); trivial. % 11.29/11.48 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.29/11.48 apply (zenon_L410_); trivial. % 11.29/11.48 apply (zenon_L375_); trivial. % 11.29/11.48 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H1e | zenon_intro zenon_H191 ]. % 11.29/11.48 apply (zenon_L377_); trivial. % 11.29/11.48 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H72 ]. % 11.29/11.48 apply (zenon_L378_); trivial. % 11.29/11.48 apply (zenon_L411_); trivial. % 11.29/11.48 (* end of lemma zenon_L412_ *) % 11.29/11.48 assert (zenon_L413_ : ((~((op (e3) (e3)) = (e2)))\/(~((op (e3) (e2)) = (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((e0) = (e1))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))\/((((op (e1) (e1)) = (e1))/\(((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0)))/\(((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1)))/\(((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2)))/\((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3)))))))\/((((op (e2) (e2)) = (e2))/\(((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0)))/\(((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3)))))))\/(((op (e3) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3)))))))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> False). % 11.29/11.48 do 0 intro. intros zenon_H200 zenon_Hb7 zenon_H105 zenon_H16a zenon_H157 zenon_H13f zenon_H69 zenon_H44 zenon_H49 zenon_H27 zenon_H161 zenon_H113 zenon_H212 zenon_H8d zenon_H187 zenon_H30 zenon_Hb8 zenon_H3c zenon_H41 zenon_H34 zenon_H216 zenon_H68 zenon_H1ca zenon_H15a zenon_H88 zenon_H10e zenon_H20 zenon_H1c1 zenon_H18f zenon_H13a zenon_H16c zenon_H148 zenon_He5 zenon_H11b zenon_Hf3 zenon_Heb zenon_H197 zenon_H154 zenon_H61 zenon_H95 zenon_H16e zenon_H117 zenon_H194 zenon_H92 zenon_H1aa zenon_Hb9 zenon_H5c zenon_Hcb zenon_H14f zenon_H10b zenon_H106 zenon_He3 zenon_H167 zenon_H141 zenon_H1b0 zenon_H1d8 zenon_H1f3 zenon_H1e2 zenon_H1f0 zenon_H1df zenon_Hf6 zenon_Hb0 zenon_H15d zenon_Hf0 zenon_H122 zenon_H71 zenon_H2b zenon_H226 zenon_Hfb zenon_H223 zenon_H222 zenon_H1a2 zenon_H1b8 zenon_H228 zenon_H4c zenon_H1d5 zenon_H125 zenon_Hc4 zenon_H203 zenon_H12d. % 11.29/11.48 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H201 ]. % 11.29/11.48 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H51 | zenon_intro zenon_H1b1 ]. % 11.29/11.48 apply (zenon_L323_); trivial. % 11.29/11.48 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H53 | zenon_intro zenon_H1b2 ]. % 11.29/11.48 apply (zenon_L324_); trivial. % 11.29/11.48 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H132 | zenon_intro zenon_H15f ]. % 11.29/11.48 apply (zenon_L225_); trivial. % 11.29/11.48 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_Hed. zenon_intro zenon_H160. % 11.29/11.48 apply (zenon_and_s _ _ zenon_H160). zenon_intro zenon_H1b4. zenon_intro zenon_H1b3. % 11.29/11.48 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_H1b6. zenon_intro zenon_H1b5. % 11.29/11.48 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H18e. zenon_intro zenon_H1b7. % 11.29/11.48 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H38 | zenon_intro zenon_H72 ]. % 11.29/11.48 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H79 | zenon_intro zenon_H90 ]. % 11.29/11.48 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_He2 | zenon_intro zenon_H18a ]. % 11.29/11.48 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H25 | zenon_intro zenon_H190 ]. % 11.29/11.48 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.29/11.48 apply (zenon_L129_); trivial. % 11.29/11.48 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.29/11.48 apply (zenon_L349_); trivial. % 11.29/11.48 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.29/11.48 apply (zenon_L351_); trivial. % 11.29/11.48 apply (zenon_L375_); trivial. % 11.29/11.48 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H1e | zenon_intro zenon_H191 ]. % 11.29/11.48 apply (zenon_L377_); trivial. % 11.29/11.48 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H72 ]. % 11.29/11.48 apply (zenon_L378_); trivial. % 11.29/11.48 apply (zenon_L383_); trivial. % 11.29/11.48 apply (zenon_L409_); trivial. % 11.29/11.48 apply (zenon_L391_); trivial. % 11.29/11.48 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H79 | zenon_intro zenon_H90 ]. % 11.29/11.48 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_He2 | zenon_intro zenon_H18a ]. % 11.33/11.49 apply (zenon_L383_); trivial. % 11.33/11.49 apply (zenon_L408_); trivial. % 11.33/11.49 apply (zenon_L391_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H51 | zenon_intro zenon_H1b1 ]. % 11.33/11.49 apply (zenon_L323_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H53 | zenon_intro zenon_H1b2 ]. % 11.33/11.49 apply (zenon_L324_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H132 | zenon_intro zenon_H15f ]. % 11.33/11.49 apply (zenon_L225_); trivial. % 11.33/11.49 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_Hed. zenon_intro zenon_H160. % 11.33/11.49 apply (zenon_and_s _ _ zenon_H160). zenon_intro zenon_H1b4. zenon_intro zenon_H1b3. % 11.33/11.49 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_H1b6. zenon_intro zenon_H1b5. % 11.33/11.49 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H18e. zenon_intro zenon_H1b7. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H38 | zenon_intro zenon_H72 ]. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H79 | zenon_intro zenon_H90 ]. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_He2 | zenon_intro zenon_H18a ]. % 11.33/11.49 apply (zenon_L412_); trivial. % 11.33/11.49 apply (zenon_L409_); trivial. % 11.33/11.49 apply (zenon_L391_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H79 | zenon_intro zenon_H90 ]. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_He2 | zenon_intro zenon_H18a ]. % 11.33/11.49 apply (zenon_L411_); trivial. % 11.33/11.49 apply (zenon_L408_); trivial. % 11.33/11.49 apply (zenon_L391_); trivial. % 11.33/11.49 (* end of lemma zenon_L413_ *) % 11.33/11.49 assert (zenon_L414_ : ((~((op (e1) (e1)) = (e2)))\/(~((op (e1) (e2)) = (e1)))) -> ((~((op (e3) (e3)) = (e2)))\/(~((op (e3) (e2)) = (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))\/((((op (e1) (e1)) = (e1))/\(((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0)))/\(((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1)))/\(((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2)))/\((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3)))))))\/((((op (e2) (e2)) = (e2))/\(((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0)))/\(((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3)))))))\/(((op (e3) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3)))))))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2)))) -> False). % 11.33/11.49 do 0 intro. intros zenon_H22b zenon_H200 zenon_Hb7 zenon_H105 zenon_H16a zenon_H157 zenon_H13f zenon_H69 zenon_H44 zenon_H49 zenon_H27 zenon_H161 zenon_H113 zenon_H212 zenon_H8d zenon_H187 zenon_H30 zenon_Hb8 zenon_H3c zenon_H41 zenon_H34 zenon_H216 zenon_H1ca zenon_H15a zenon_H88 zenon_H10e zenon_H20 zenon_H18f zenon_H13a zenon_H16c zenon_H148 zenon_He5 zenon_H11b zenon_Hf3 zenon_Heb zenon_H197 zenon_H154 zenon_H61 zenon_H95 zenon_H16e zenon_H117 zenon_H194 zenon_H92 zenon_H1aa zenon_Hb9 zenon_H5c zenon_Hcb zenon_H14f zenon_H10b zenon_H106 zenon_He3 zenon_H167 zenon_H141 zenon_H1b0 zenon_H1d8 zenon_H1f3 zenon_H1e2 zenon_H1f0 zenon_H1df zenon_Hf6 zenon_Hb0 zenon_H15d zenon_Hf0 zenon_H122 zenon_H71 zenon_H2b zenon_H226 zenon_Hfb zenon_H223 zenon_H222 zenon_H1a2 zenon_H1b8 zenon_H228 zenon_H4c zenon_H1d5 zenon_H125 zenon_Hc4 zenon_H203 zenon_H12d zenon_H202. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H68 | zenon_intro zenon_H22c ]. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1c1 ]. % 11.33/11.49 apply (zenon_L413_); trivial. % 11.33/11.49 apply (zenon_L413_); trivial. % 11.33/11.49 exact (zenon_H22c zenon_H88). % 11.33/11.49 (* end of lemma zenon_L414_ *) % 11.33/11.49 assert (zenon_L415_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e3)) -> ((op (e2) (e1)) = (e1)) -> (~((e1) = (e2))) -> (~((op (e2) (e2)) = (e2))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False). % 11.33/11.49 do 0 intro. intros zenon_H1a2 zenon_H41 zenon_H152 zenon_Hc5 zenon_H30 zenon_H1c1 zenon_H3f zenon_H16e. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H1a3 ]. % 11.33/11.49 apply (zenon_L233_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H1a4 ]. % 11.33/11.49 apply (zenon_L95_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H5a | zenon_intro zenon_H18a ]. % 11.33/11.49 exact (zenon_H1c1 zenon_H5a). % 11.33/11.49 apply (zenon_L213_); trivial. % 11.33/11.49 (* end of lemma zenon_L415_ *) % 11.33/11.49 assert (zenon_L416_ : (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e0)) -> ((op (e3) (e2)) = (e0)) -> False). % 11.33/11.49 do 0 intro. intros zenon_H101 zenon_Hd0 zenon_Hf7. % 11.33/11.49 cut (((op (e0) (e2)) = (e0)) = ((op (e0) (e2)) = (op (e3) (e2)))). % 11.33/11.49 intro zenon_D_pnotp. % 11.33/11.49 apply zenon_H101. % 11.33/11.49 rewrite <- zenon_D_pnotp. % 11.33/11.49 exact zenon_Hd0. % 11.33/11.49 cut (((e0) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hf8]. % 11.33/11.49 cut (((op (e0) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H140]. % 11.33/11.49 congruence. % 11.33/11.49 apply zenon_H140. apply refl_equal. % 11.33/11.49 apply zenon_Hf8. apply sym_equal. exact zenon_Hf7. % 11.33/11.49 (* end of lemma zenon_L416_ *) % 11.33/11.49 assert (zenon_L417_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e2) (e2)) = (e2))) -> (~((e1) = (e2))) -> ((op (e2) (e0)) = (e3)) -> (~((e2) = (e3))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e2)) = (e3))) -> False). % 11.33/11.49 do 0 intro. intros zenon_H105 zenon_H3c zenon_H39 zenon_H14f zenon_H90 zenon_H16e zenon_H3f zenon_H1c1 zenon_H30 zenon_H152 zenon_H41 zenon_H1a2 zenon_H1db zenon_Hd0 zenon_H101 zenon_H1d8 zenon_H9a zenon_Hf6 zenon_H201. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H1f | zenon_intro zenon_H107 ]. % 11.33/11.49 apply (zenon_L130_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H56 | zenon_intro zenon_H108 ]. % 11.33/11.49 apply (zenon_L247_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hc5 | zenon_intro zenon_He6 ]. % 11.33/11.49 apply (zenon_L415_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H1dc ]. % 11.33/11.49 apply (zenon_L416_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H1d9 | zenon_intro zenon_H1dd ]. % 11.33/11.49 apply (zenon_L255_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_Hae | zenon_intro zenon_Hec ]. % 11.33/11.49 apply (zenon_L256_); trivial. % 11.33/11.49 exact (zenon_H201 zenon_Hec). % 11.33/11.49 (* end of lemma zenon_L417_ *) % 11.33/11.49 assert (zenon_L418_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e0) = (e3))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e2) (e2)) = (e2))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e0) (e1)) = (e3)) -> (~((e1) = (e3))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e2)) -> False). % 11.33/11.49 do 0 intro. intros zenon_H161 zenon_H38 zenon_H34 zenon_H57 zenon_H201 zenon_Hf6 zenon_H1d8 zenon_H101 zenon_Hd0 zenon_H1db zenon_H1a2 zenon_H30 zenon_H1c1 zenon_H3f zenon_H16e zenon_H90 zenon_H14f zenon_H39 zenon_H3c zenon_H105 zenon_H41 zenon_H9a. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ]. % 11.33/11.49 exact (zenon_H38 zenon_H33). % 11.33/11.49 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ]. % 11.33/11.49 apply (zenon_L118_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ]. % 11.33/11.49 apply (zenon_L417_); trivial. % 11.33/11.49 apply (zenon_L302_); trivial. % 11.33/11.49 (* end of lemma zenon_L418_ *) % 11.33/11.49 assert (zenon_L419_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e3) (e0)) = (e2)) -> (~((e2) = (e3))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e2) (e2)) = (e2))) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e2)) = (e3))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> ((op (e3) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False). % 11.33/11.49 do 0 intro. intros zenon_H44 zenon_H9a zenon_H41 zenon_H105 zenon_H3c zenon_H14f zenon_H90 zenon_H16e zenon_H3f zenon_H1c1 zenon_H30 zenon_H1a2 zenon_H1db zenon_H101 zenon_H1d8 zenon_Hf6 zenon_H201 zenon_H57 zenon_H38 zenon_H161 zenon_H34 zenon_Hd0 zenon_Hed zenon_H13a. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.33/11.49 exact (zenon_H38 zenon_H33). % 11.33/11.49 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.33/11.49 apply (zenon_L418_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.33/11.49 apply (zenon_L59_); trivial. % 11.33/11.49 apply (zenon_L113_); trivial. % 11.33/11.49 (* end of lemma zenon_L419_ *) % 11.33/11.49 assert (zenon_L420_ : (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e2)) -> ((op (e3) (e3)) = (e2)) -> False). % 11.33/11.49 do 0 intro. intros zenon_H13a zenon_H3f zenon_Hb4. % 11.33/11.49 cut (((op (e0) (e3)) = (e2)) = ((op (e0) (e3)) = (op (e3) (e3)))). % 11.33/11.49 intro zenon_D_pnotp. % 11.33/11.49 apply zenon_H13a. % 11.33/11.49 rewrite <- zenon_D_pnotp. % 11.33/11.49 exact zenon_H3f. % 11.33/11.49 cut (((e2) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hea]. % 11.33/11.49 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H64]. % 11.33/11.49 congruence. % 11.33/11.49 apply zenon_H64. apply refl_equal. % 11.33/11.49 apply zenon_Hea. apply sym_equal. exact zenon_Hb4. % 11.33/11.49 (* end of lemma zenon_L420_ *) % 11.33/11.49 assert (zenon_L421_ : (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e0)) = (e1)) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e1))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e2))) -> (~((op (e1) (e1)) = (e2))) -> ((op (e0) (e1)) = (e3)) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e3) (e3)) = (e3)) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((e1) = (e3))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e0)) = (e3)) -> (~((e2) = (e3))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e0)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e2)) -> False). % 11.33/11.49 do 0 intro. intros zenon_H1d5 zenon_Hcb zenon_H4f zenon_H49 zenon_H20 zenon_H154 zenon_H117 zenon_H61 zenon_H141 zenon_H65 zenon_H11b zenon_H157 zenon_H167 zenon_He2 zenon_He3 zenon_Hfa zenon_H27 zenon_H68 zenon_H39 zenon_H106 zenon_Hb0 zenon_Hed zenon_Hd0 zenon_H34 zenon_H161 zenon_H38 zenon_H57 zenon_H201 zenon_H1d8 zenon_H101 zenon_H1db zenon_H30 zenon_H90 zenon_H14f zenon_H3c zenon_H105 zenon_H44 zenon_H16e zenon_H1c1 zenon_H1cb zenon_H152 zenon_H41 zenon_H1a2 zenon_H15d zenon_H15f zenon_Hf6 zenon_H16a zenon_H120 zenon_H1df zenon_H13a zenon_H3f. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H1f | zenon_intro zenon_H107 ]. % 11.33/11.49 apply (zenon_L130_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H56 | zenon_intro zenon_H108 ]. % 11.33/11.49 apply (zenon_L252_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hc5 | zenon_intro zenon_He6 ]. % 11.33/11.49 apply (zenon_L253_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H9a | zenon_intro zenon_Hb2 ]. % 11.33/11.49 apply (zenon_L419_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Hb3 ]. % 11.33/11.49 apply (zenon_L235_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_Hae | zenon_intro zenon_Hb4 ]. % 11.33/11.49 apply (zenon_L259_); trivial. % 11.33/11.49 apply (zenon_L420_); trivial. % 11.33/11.49 (* end of lemma zenon_L421_ *) % 11.33/11.49 assert (zenon_L422_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e2)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> ((op (e0) (e3)) = (e2)) -> (~((e2) = (e3))) -> False). % 11.33/11.49 do 0 intro. intros zenon_H44 zenon_H38 zenon_He3 zenon_Hed zenon_He2 zenon_Hcb zenon_Hb5 zenon_H167 zenon_H34 zenon_Hd0 zenon_H3f zenon_H41. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.33/11.49 exact (zenon_H38 zenon_H33). % 11.33/11.49 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.33/11.49 apply (zenon_L243_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.33/11.49 apply (zenon_L59_); trivial. % 11.33/11.49 apply (zenon_L11_); trivial. % 11.33/11.49 (* end of lemma zenon_L422_ *) % 11.33/11.49 assert (zenon_L423_ : (~((e0) = (e1))) -> ((op (e1) (e0)) = (e1)) -> ((op (e1) (e0)) = (e0)) -> False). % 11.33/11.49 do 0 intro. intros zenon_H20 zenon_H6d zenon_H57. % 11.33/11.49 cut (((op (e1) (e0)) = (e1)) = ((e0) = (e1))). % 11.33/11.49 intro zenon_D_pnotp. % 11.33/11.49 apply zenon_H20. % 11.33/11.49 rewrite <- zenon_D_pnotp. % 11.33/11.49 exact zenon_H6d. % 11.33/11.49 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H22]. % 11.33/11.49 cut (((op (e1) (e0)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H22d]. % 11.33/11.49 congruence. % 11.33/11.49 exact (zenon_H22d zenon_H57). % 11.33/11.49 apply zenon_H22. apply refl_equal. % 11.33/11.49 (* end of lemma zenon_L423_ *) % 11.33/11.49 assert (zenon_L424_ : (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> ((op (e1) (e1)) = (e0)) -> ((op (e1) (e0)) = (e2)) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e3) (e2)) = (e3))) -> False). % 11.33/11.49 do 0 intro. intros zenon_Hf3 zenon_H34 zenon_Hd0 zenon_H10c zenon_H58 zenon_He2 zenon_H201. % 11.33/11.49 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H3b | zenon_intro zenon_Hf4 ]. % 11.33/11.49 apply (zenon_L59_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H89 | zenon_intro zenon_Hf5 ]. % 11.33/11.49 apply (zenon_L291_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_He1 | zenon_intro zenon_Hec ]. % 11.33/11.49 exact (zenon_He2 zenon_He1). % 11.33/11.49 exact (zenon_H201 zenon_Hec). % 11.33/11.49 (* end of lemma zenon_L424_ *) % 11.33/11.49 assert (zenon_L425_ : (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((~((op (e1) (e1)) = (e2)))\/(~((op (e1) (e2)) = (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e1))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (e2))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> ((~((op (e2) (e2)) = (e2)))\/(~((op (e2) (e2)) = (e2)))) -> ((((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))\/((((op (e1) (e1)) = (e1))/\(((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0)))/\(((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1)))/\(((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2)))/\((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3)))))))\/((((op (e2) (e2)) = (e2))/\(((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0)))/\(((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3)))))))\/(((op (e3) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3)))))))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((~((op (e3) (e3)) = (e2)))\/(~((op (e3) (e2)) = (e3)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> False). % 11.33/11.49 do 0 intro. intros zenon_H187 zenon_H22b zenon_Hb7 zenon_H69 zenon_H212 zenon_H216 zenon_H15a zenon_H18f zenon_H16c zenon_H148 zenon_He5 zenon_H197 zenon_H95 zenon_H194 zenon_H92 zenon_H1aa zenon_Hb9 zenon_H5c zenon_H71 zenon_H226 zenon_Hfb zenon_H223 zenon_H222 zenon_H228 zenon_Hc4 zenon_H101 zenon_Hd0 zenon_H1b8 zenon_H4c zenon_H2b zenon_H44 zenon_H3c zenon_H34 zenon_H41 zenon_H27 zenon_H30 zenon_H49 zenon_H20 zenon_H10b zenon_H1c1 zenon_H12d zenon_H113 zenon_H13f zenon_H8d zenon_Hb8 zenon_H1ca zenon_H106 zenon_H1cb zenon_H16e zenon_H1a2 zenon_H68 zenon_H105 zenon_Hb0 zenon_H16a zenon_H1df zenon_H1d8 zenon_Hf6 zenon_H125 zenon_H1db zenon_H202 zenon_H1b0 zenon_H1f3 zenon_H1e2 zenon_H1f0 zenon_Hf0 zenon_H122 zenon_H200 zenon_Hcb zenon_He3 zenon_H167 zenon_H11b zenon_H157 zenon_H15d zenon_H161 zenon_H65 zenon_H14f zenon_H154 zenon_H61 zenon_H141 zenon_H117 zenon_H1d5 zenon_Hfa zenon_H203 zenon_H10e zenon_Heb zenon_Hf3 zenon_H13a zenon_H210. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H201 ]. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H51 | zenon_intro zenon_H1b1 ]. % 11.33/11.49 apply (zenon_L222_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H53 | zenon_intro zenon_H1b2 ]. % 11.33/11.49 apply (zenon_L224_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H132 | zenon_intro zenon_H15f ]. % 11.33/11.49 apply (zenon_L225_); trivial. % 11.33/11.49 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_Hed. zenon_intro zenon_H160. % 11.33/11.49 apply (zenon_and_s _ _ zenon_H160). zenon_intro zenon_H1b4. zenon_intro zenon_H1b3. % 11.33/11.49 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_H1b6. zenon_intro zenon_H1b5. % 11.33/11.49 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H18e. zenon_intro zenon_H1b7. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H38 | zenon_intro zenon_H72 ]. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H79 | zenon_intro zenon_H90 ]. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_He2 | zenon_intro zenon_H18a ]. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H25 | zenon_intro zenon_H12e ]. % 11.33/11.49 apply (zenon_L221_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H57 | zenon_intro zenon_H12f ]. % 11.33/11.49 apply (zenon_L287_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H6e | zenon_intro zenon_Hc3 ]. % 11.33/11.49 apply (zenon_L237_); trivial. % 11.33/11.49 apply (zenon_L294_); trivial. % 11.33/11.49 apply (zenon_L295_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_He2 | zenon_intro zenon_H18a ]. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H25 | zenon_intro zenon_H12e ]. % 11.33/11.49 apply (zenon_L221_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H57 | zenon_intro zenon_H12f ]. % 11.33/11.49 apply (zenon_L287_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H6e | zenon_intro zenon_Hc3 ]. % 11.33/11.49 apply (zenon_L237_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.33/11.49 exact (zenon_H2b zenon_H26). % 11.33/11.49 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.33/11.49 apply (zenon_L228_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.33/11.49 apply (zenon_L57_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ]. % 11.33/11.49 exact (zenon_H2b zenon_H26). % 11.33/11.49 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ]. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.33/11.49 exact (zenon_H38 zenon_H33). % 11.33/11.49 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ]. % 11.33/11.49 exact (zenon_H38 zenon_H33). % 11.33/11.49 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ]. % 11.33/11.49 apply (zenon_L31_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ]. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ]. % 11.33/11.49 apply (zenon_L288_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ]. % 11.33/11.49 apply (zenon_L296_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ]. % 11.33/11.49 apply (zenon_L293_); trivial. % 11.33/11.49 apply (zenon_L38_); trivial. % 11.33/11.49 apply (zenon_L201_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.33/11.49 apply (zenon_L59_); trivial. % 11.33/11.49 apply (zenon_L113_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ]. % 11.33/11.49 apply (zenon_L244_); trivial. % 11.33/11.49 apply (zenon_L51_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.33/11.49 apply (zenon_L284_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.33/11.49 apply (zenon_L61_); trivial. % 11.33/11.49 apply (zenon_L127_); trivial. % 11.33/11.49 apply (zenon_L295_); trivial. % 11.33/11.49 apply (zenon_L297_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H51 | zenon_intro zenon_H1b1 ]. % 11.33/11.49 apply (zenon_L222_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H53 | zenon_intro zenon_H1b2 ]. % 11.33/11.49 apply (zenon_L224_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H132 | zenon_intro zenon_H15f ]. % 11.33/11.49 apply (zenon_L225_); trivial. % 11.33/11.49 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_Hed. zenon_intro zenon_H160. % 11.33/11.49 apply (zenon_and_s _ _ zenon_H160). zenon_intro zenon_H1b4. zenon_intro zenon_H1b3. % 11.33/11.49 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_H1b6. zenon_intro zenon_H1b5. % 11.33/11.49 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H18e. zenon_intro zenon_H1b7. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H38 | zenon_intro zenon_H72 ]. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H79 | zenon_intro zenon_H90 ]. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_He2 | zenon_intro zenon_H18a ]. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H25 | zenon_intro zenon_H12e ]. % 11.33/11.49 apply (zenon_L221_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H57 | zenon_intro zenon_H12f ]. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.33/11.49 exact (zenon_H2b zenon_H26). % 11.33/11.49 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.33/11.49 apply (zenon_L228_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.33/11.49 apply (zenon_L57_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ]. % 11.33/11.49 exact (zenon_H2b zenon_H26). % 11.33/11.49 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ]. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.33/11.49 exact (zenon_H38 zenon_H33). % 11.33/11.49 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ]. % 11.33/11.49 exact (zenon_H38 zenon_H33). % 11.33/11.49 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ]. % 11.33/11.49 apply (zenon_L231_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ]. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H1e | zenon_intro zenon_H204 ]. % 11.33/11.49 apply (zenon_L68_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H10c | zenon_intro zenon_H205 ]. % 11.33/11.49 apply (zenon_L292_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_Hcc | zenon_intro zenon_H120 ]. % 11.33/11.49 apply (zenon_L236_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H6d | zenon_intro zenon_H93 ]. % 11.33/11.49 apply (zenon_L179_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H56 | zenon_intro zenon_H94 ]. % 11.33/11.49 apply (zenon_L252_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H88 | zenon_intro zenon_H90 ]. % 11.33/11.49 apply (zenon_L414_); trivial. % 11.33/11.49 apply (zenon_L421_); trivial. % 11.33/11.49 apply (zenon_L141_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.33/11.49 apply (zenon_L59_); trivial. % 11.33/11.49 apply (zenon_L11_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ]. % 11.33/11.49 apply (zenon_L422_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.33/11.49 exact (zenon_H38 zenon_H33). % 11.33/11.49 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ]. % 11.33/11.49 exact (zenon_H38 zenon_H33). % 11.33/11.49 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ]. % 11.33/11.49 apply (zenon_L118_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ]. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H6d | zenon_intro zenon_H93 ]. % 11.33/11.49 apply (zenon_L423_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H56 | zenon_intro zenon_H94 ]. % 11.33/11.49 apply (zenon_L252_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H88 | zenon_intro zenon_H90 ]. % 11.33/11.49 apply (zenon_L412_); trivial. % 11.33/11.49 apply (zenon_L418_); trivial. % 11.33/11.49 apply (zenon_L302_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.33/11.49 apply (zenon_L59_); trivial. % 11.33/11.49 apply (zenon_L113_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.33/11.49 apply (zenon_L326_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.33/11.49 apply (zenon_L61_); trivial. % 11.33/11.49 apply (zenon_L286_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H6e | zenon_intro zenon_Hc3 ]. % 11.33/11.49 apply (zenon_L237_); trivial. % 11.33/11.49 apply (zenon_L294_); trivial. % 11.33/11.49 apply (zenon_L295_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_He2 | zenon_intro zenon_H18a ]. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H25 | zenon_intro zenon_H12e ]. % 11.33/11.49 apply (zenon_L221_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H57 | zenon_intro zenon_H12f ]. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.33/11.49 exact (zenon_H2b zenon_H26). % 11.33/11.49 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.33/11.49 apply (zenon_L228_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.33/11.49 apply (zenon_L57_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ]. % 11.33/11.49 exact (zenon_H2b zenon_H26). % 11.33/11.49 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ]. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.33/11.49 exact (zenon_H38 zenon_H33). % 11.33/11.49 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ]. % 11.33/11.49 exact (zenon_H38 zenon_H33). % 11.33/11.49 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ]. % 11.33/11.49 apply (zenon_L31_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ]. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H1e | zenon_intro zenon_H204 ]. % 11.33/11.49 apply (zenon_L8_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H10c | zenon_intro zenon_H205 ]. % 11.33/11.49 apply (zenon_L424_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_Hcc | zenon_intro zenon_H120 ]. % 11.33/11.49 apply (zenon_L236_); trivial. % 11.33/11.49 apply (zenon_L421_); trivial. % 11.33/11.49 apply (zenon_L141_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.33/11.49 apply (zenon_L59_); trivial. % 11.33/11.49 apply (zenon_L113_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ]. % 11.33/11.49 apply (zenon_L422_); trivial. % 11.33/11.49 apply (zenon_L419_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.33/11.49 apply (zenon_L284_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.33/11.49 apply (zenon_L61_); trivial. % 11.33/11.49 apply (zenon_L286_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H6e | zenon_intro zenon_Hc3 ]. % 11.33/11.49 apply (zenon_L237_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.33/11.49 exact (zenon_H2b zenon_H26). % 11.33/11.49 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.33/11.49 apply (zenon_L228_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.33/11.49 apply (zenon_L57_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ]. % 11.33/11.49 exact (zenon_H2b zenon_H26). % 11.33/11.49 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ]. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.33/11.49 exact (zenon_H38 zenon_H33). % 11.33/11.49 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ]. % 11.33/11.49 exact (zenon_H38 zenon_H33). % 11.33/11.49 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ]. % 11.33/11.49 apply (zenon_L31_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ]. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ]. % 11.33/11.49 apply (zenon_L288_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ]. % 11.33/11.49 apply (zenon_L424_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ]. % 11.33/11.49 apply (zenon_L293_); trivial. % 11.33/11.49 apply (zenon_L38_); trivial. % 11.33/11.49 apply (zenon_L201_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.33/11.49 apply (zenon_L59_); trivial. % 11.33/11.49 apply (zenon_L11_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ]. % 11.33/11.49 apply (zenon_L244_); trivial. % 11.33/11.49 apply (zenon_L51_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.33/11.49 apply (zenon_L284_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.33/11.49 apply (zenon_L61_); trivial. % 11.33/11.49 apply (zenon_L127_); trivial. % 11.33/11.49 apply (zenon_L295_); trivial. % 11.33/11.49 apply (zenon_L297_); trivial. % 11.33/11.49 (* end of lemma zenon_L425_ *) % 11.33/11.49 assert (zenon_L426_ : (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e0)) = (e3)) -> ((op (e2) (e2)) = (e3)) -> False). % 11.33/11.49 do 0 intro. intros zenon_Hc0 zenon_H152 zenon_He1. % 11.33/11.49 cut (((op (e2) (e0)) = (e3)) = ((op (e2) (e0)) = (op (e2) (e2)))). % 11.33/11.49 intro zenon_D_pnotp. % 11.33/11.49 apply zenon_Hc0. % 11.33/11.49 rewrite <- zenon_D_pnotp. % 11.33/11.49 exact zenon_H152. % 11.33/11.49 cut (((e3) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H19b]. % 11.33/11.49 cut (((op (e2) (e0)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H98]. % 11.33/11.49 congruence. % 11.33/11.49 apply zenon_H98. apply refl_equal. % 11.33/11.49 apply zenon_H19b. apply sym_equal. exact zenon_He1. % 11.33/11.49 (* end of lemma zenon_L426_ *) % 11.33/11.49 assert (zenon_L427_ : (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e1)) = (e0)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e0)) = (e3)) -> False). % 11.33/11.49 do 0 intro. intros zenon_H19c zenon_Hd0 zenon_H65 zenon_Hcc zenon_H5c zenon_H5b zenon_Hc0 zenon_H152. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_Hce | zenon_intro zenon_H19d ]. % 11.33/11.49 apply (zenon_L165_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H11f | zenon_intro zenon_H19e ]. % 11.33/11.49 apply (zenon_L242_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H5a | zenon_intro zenon_He1 ]. % 11.33/11.49 apply (zenon_L21_); trivial. % 11.33/11.49 apply (zenon_L426_); trivial. % 11.33/11.49 (* end of lemma zenon_L427_ *) % 11.33/11.49 assert (zenon_L428_ : (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e1)) = (e0)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e0)) = (e3)) -> False). % 11.33/11.49 do 0 intro. intros zenon_H19f zenon_H27 zenon_H5c zenon_H18a zenon_H192 zenon_H19c zenon_Hd0 zenon_H65 zenon_Hcc zenon_Had zenon_Hc0 zenon_H152. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_H2f | zenon_intro zenon_H1a0 ]. % 11.33/11.49 apply (zenon_L57_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5b | zenon_intro zenon_H1a1 ]. % 11.33/11.49 apply (zenon_L427_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_H5a | zenon_intro zenon_Hae ]. % 11.33/11.49 apply (zenon_L186_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_Hce | zenon_intro zenon_H19d ]. % 11.33/11.49 apply (zenon_L165_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H11f | zenon_intro zenon_H19e ]. % 11.33/11.49 apply (zenon_L242_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H5a | zenon_intro zenon_He1 ]. % 11.33/11.49 apply (zenon_L46_); trivial. % 11.33/11.49 apply (zenon_L426_); trivial. % 11.33/11.49 (* end of lemma zenon_L428_ *) % 11.33/11.49 assert (zenon_L429_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e1) (e0)) = (e2)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e2) (e2)) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e1)) = (e0)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e0)) = (e3)) -> False). % 11.33/11.49 do 0 intro. intros zenon_H1a2 zenon_H16c zenon_H58 zenon_H157 zenon_H6c zenon_H1c1 zenon_H19f zenon_H27 zenon_H5c zenon_H192 zenon_H19c zenon_Hd0 zenon_H65 zenon_Hcc zenon_Had zenon_Hc0 zenon_H152. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H1a3 ]. % 11.33/11.49 apply (zenon_L343_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H1a4 ]. % 11.33/11.49 apply (zenon_L139_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H5a | zenon_intro zenon_H18a ]. % 11.33/11.49 exact (zenon_H1c1 zenon_H5a). % 11.33/11.49 apply (zenon_L428_); trivial. % 11.33/11.49 (* end of lemma zenon_L429_ *) % 11.33/11.49 assert (zenon_L430_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e1) (e2)) = (e1))) -> ((op (e2) (e0)) = (e3)) -> ((op (e2) (e1)) = (e0)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e1)) -> False). % 11.33/11.49 do 0 intro. intros zenon_H22e zenon_H20 zenon_Hd0 zenon_H22c zenon_H152 zenon_Hcc zenon_H1d8 zenon_He6. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H2e | zenon_intro zenon_H22f ]. % 11.33/11.49 apply (zenon_L61_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H88 | zenon_intro zenon_H230 ]. % 11.33/11.49 exact (zenon_H22c zenon_H88). % 11.33/11.49 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H11f | zenon_intro zenon_H1d9 ]. % 11.33/11.49 apply (zenon_L242_); trivial. % 11.33/11.49 apply (zenon_L255_); trivial. % 11.33/11.49 (* end of lemma zenon_L430_ *) % 11.33/11.49 assert (zenon_L431_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((e2) = (e3))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e1) (e0)) = (e2)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e0) (e1)) = (e3)) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e1) (e2)) = (e1))) -> ((op (e2) (e0)) = (e3)) -> ((op (e2) (e1)) = (e0)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> False). % 11.33/11.49 do 0 intro. intros zenon_H105 zenon_H3c zenon_H14f zenon_H90 zenon_H16e zenon_H3f zenon_H1c1 zenon_H1cb zenon_H41 zenon_H1a2 zenon_H30 zenon_H16c zenon_H58 zenon_H157 zenon_H19f zenon_H27 zenon_H5c zenon_H192 zenon_H19c zenon_H65 zenon_Had zenon_Hc0 zenon_H39 zenon_H106 zenon_H22e zenon_H20 zenon_Hd0 zenon_H22c zenon_H152 zenon_Hcc zenon_H1d8. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H1f | zenon_intro zenon_H107 ]. % 11.33/11.49 apply (zenon_L130_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H56 | zenon_intro zenon_H108 ]. % 11.33/11.49 apply (zenon_L247_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hc5 | zenon_intro zenon_He6 ]. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H2c | zenon_intro zenon_H109 ]. % 11.33/11.49 apply (zenon_L65_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H6c | zenon_intro zenon_H10a ]. % 11.33/11.49 apply (zenon_L429_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Ha4 ]. % 11.33/11.49 apply (zenon_L95_); trivial. % 11.33/11.49 apply (zenon_L235_); trivial. % 11.33/11.49 apply (zenon_L430_); trivial. % 11.33/11.49 (* end of lemma zenon_L431_ *) % 11.33/11.49 assert (zenon_L432_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e2) (e2)) = (e2))) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e1) (e2)) = (e1))) -> ((op (e2) (e0)) = (e3)) -> ((op (e2) (e1)) = (e0)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> False). % 11.33/11.49 do 0 intro. intros zenon_H105 zenon_H34 zenon_H3c zenon_H38 zenon_H44 zenon_Hed zenon_H13a zenon_H2b zenon_H49 zenon_H14f zenon_H90 zenon_H16e zenon_H3f zenon_H1c1 zenon_H30 zenon_H41 zenon_H1a2 zenon_H22e zenon_H20 zenon_Hd0 zenon_H22c zenon_H152 zenon_Hcc zenon_H1d8. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H1f | zenon_intro zenon_H107 ]. % 11.33/11.49 apply (zenon_L284_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H56 | zenon_intro zenon_H108 ]. % 11.33/11.49 apply (zenon_L247_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hc5 | zenon_intro zenon_He6 ]. % 11.33/11.49 apply (zenon_L415_); trivial. % 11.33/11.49 apply (zenon_L430_); trivial. % 11.33/11.49 (* end of lemma zenon_L432_ *) % 11.33/11.49 assert (zenon_L433_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> ((op (e0) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e2)) -> ((op (e2) (e0)) = (e3)) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e2)) -> ((op (e3) (e1)) = (e0)) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> ((((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))\/((((op (e1) (e1)) = (e1))/\(((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0)))/\(((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1)))/\(((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2)))/\((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3)))))))\/((((op (e2) (e2)) = (e2))/\(((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0)))/\(((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3)))))))\/(((op (e3) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3)))))))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e2))) -> (~((e2) = (e3))) -> (~((e1) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> False). % 11.33/11.49 do 0 intro. intros zenon_H105 zenon_H39 zenon_H14f zenon_H90 zenon_H16e zenon_H3f zenon_H152 zenon_H1a2 zenon_Hf3 zenon_Hd0 zenon_H125 zenon_H9a zenon_H120 zenon_H1db zenon_He2 zenon_H1b0 zenon_H122 zenon_H34 zenon_H15d zenon_H16a zenon_Hf6 zenon_H1df zenon_H1e2 zenon_H1f0 zenon_H3c zenon_H1f3 zenon_Hb0 zenon_Hb1 zenon_H41 zenon_H30 zenon_Hf0 zenon_H1d8 zenon_H1c1 zenon_Heb. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H1f | zenon_intro zenon_H107 ]. % 11.33/11.49 apply (zenon_L130_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H56 | zenon_intro zenon_H108 ]. % 11.33/11.49 apply (zenon_L247_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hc5 | zenon_intro zenon_He6 ]. % 11.33/11.49 apply (zenon_L415_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H3b | zenon_intro zenon_Hf4 ]. % 11.33/11.49 apply (zenon_L59_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H89 | zenon_intro zenon_Hf5 ]. % 11.33/11.49 apply (zenon_L257_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_He1 | zenon_intro zenon_Hec ]. % 11.33/11.49 exact (zenon_He2 zenon_He1). % 11.33/11.49 apply (zenon_L280_); trivial. % 11.33/11.49 (* end of lemma zenon_L433_ *) % 11.33/11.49 assert (zenon_L434_ : ((op (e3) (e0)) = (e2)) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e2)) = (e1))) -> (~((e0) = (e1))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> ((((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))\/((((op (e1) (e1)) = (e1))/\(((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0)))/\(((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1)))/\(((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2)))/\((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3)))))))\/((((op (e2) (e2)) = (e2))/\(((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0)))/\(((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3)))))))\/(((op (e3) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3)))))))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e2))) -> (~((e1) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> ((op (e0) (e3)) = (e2)) -> (~((e2) = (e3))) -> False). % 11.33/11.49 do 0 intro. intros zenon_H9a zenon_H203 zenon_H57 zenon_H1ca zenon_H22c zenon_H20 zenon_H22e zenon_H49 zenon_H2b zenon_H13a zenon_Hed zenon_H44 zenon_H38 zenon_H105 zenon_H14f zenon_H90 zenon_H16e zenon_H1a2 zenon_Hf3 zenon_H125 zenon_H1db zenon_He2 zenon_H1b0 zenon_H122 zenon_H15d zenon_H16a zenon_Hf6 zenon_H1df zenon_H1e2 zenon_H1f0 zenon_H3c zenon_H1f3 zenon_Hb0 zenon_Hb1 zenon_H30 zenon_Hf0 zenon_H1d8 zenon_H1c1 zenon_Heb zenon_H161 zenon_H34 zenon_Hd0 zenon_H3f zenon_H41. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.33/11.49 exact (zenon_H38 zenon_H33). % 11.33/11.49 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ]. % 11.33/11.49 exact (zenon_H38 zenon_H33). % 11.33/11.49 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ]. % 11.33/11.49 apply (zenon_L118_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ]. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H1e | zenon_intro zenon_H204 ]. % 11.33/11.49 apply (zenon_L8_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H10c | zenon_intro zenon_H205 ]. % 11.33/11.49 apply (zenon_L232_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_Hcc | zenon_intro zenon_H120 ]. % 11.33/11.49 apply (zenon_L432_); trivial. % 11.33/11.49 apply (zenon_L433_); trivial. % 11.33/11.49 apply (zenon_L302_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.33/11.49 apply (zenon_L59_); trivial. % 11.33/11.49 apply (zenon_L11_); trivial. % 11.33/11.49 (* end of lemma zenon_L434_ *) % 11.33/11.49 assert (zenon_L435_ : (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> False). % 11.33/11.49 do 0 intro. intros zenon_H223 zenon_Hc3 zenon_H16a zenon_H56 zenon_H1f3 zenon_H2c zenon_H222 zenon_He5 zenon_Hed. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H120 | zenon_intro zenon_H224 ]. % 11.33/11.49 apply (zenon_L258_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_He6 | zenon_intro zenon_H225 ]. % 11.33/11.49 apply (zenon_L278_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_Ha4 | zenon_intro zenon_H147 ]. % 11.33/11.49 apply (zenon_L355_); trivial. % 11.33/11.49 apply (zenon_L132_); trivial. % 11.33/11.49 (* end of lemma zenon_L435_ *) % 11.33/11.49 assert (zenon_L436_ : (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((e2) = (e3))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e1) (e0)) = (e2)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e0) (e1)) = (e3)) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e1) (e2)) = (e1))) -> ((op (e2) (e0)) = (e3)) -> ((op (e2) (e1)) = (e0)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> False). % 11.33/11.49 do 0 intro. intros zenon_H92 zenon_H223 zenon_Hc3 zenon_H16a zenon_H1f3 zenon_H222 zenon_He5 zenon_Hed zenon_H105 zenon_H3c zenon_H14f zenon_H16e zenon_H3f zenon_H1c1 zenon_H1cb zenon_H41 zenon_H1a2 zenon_H30 zenon_H16c zenon_H58 zenon_H157 zenon_H19f zenon_H27 zenon_H5c zenon_H192 zenon_H19c zenon_H65 zenon_Had zenon_Hc0 zenon_H39 zenon_H106 zenon_H22e zenon_H20 zenon_Hd0 zenon_H22c zenon_H152 zenon_Hcc zenon_H1d8. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H6d | zenon_intro zenon_H93 ]. % 11.33/11.49 apply (zenon_L26_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H56 | zenon_intro zenon_H94 ]. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H2c | zenon_intro zenon_H109 ]. % 11.33/11.49 apply (zenon_L435_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H6c | zenon_intro zenon_H10a ]. % 11.33/11.49 apply (zenon_L429_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Ha4 ]. % 11.33/11.49 apply (zenon_L164_); trivial. % 11.33/11.49 apply (zenon_L235_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H88 | zenon_intro zenon_H90 ]. % 11.33/11.49 exact (zenon_H22c zenon_H88). % 11.33/11.49 apply (zenon_L431_); trivial. % 11.33/11.49 (* end of lemma zenon_L436_ *) % 11.33/11.49 assert (zenon_L437_ : (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e0) = (e3))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e2) (e0)) = (e3)) -> (~((op (e1) (e2)) = (e1))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e1))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e0) (e1)) = (e3)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e0)) = (e2)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (e2))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((e1) = (e3))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e0)) -> False). % 11.33/11.49 do 0 intro. intros zenon_H203 zenon_H34 zenon_H57 zenon_H1ca zenon_H1d8 zenon_H152 zenon_H22c zenon_Hd0 zenon_H20 zenon_H22e zenon_H106 zenon_H39 zenon_Hc0 zenon_Had zenon_H65 zenon_H19c zenon_H192 zenon_H5c zenon_H27 zenon_H19f zenon_H157 zenon_H58 zenon_H16c zenon_H30 zenon_H1a2 zenon_H41 zenon_H1cb zenon_H1c1 zenon_H3f zenon_H16e zenon_H14f zenon_H3c zenon_H105 zenon_Hed zenon_He5 zenon_H222 zenon_H1f3 zenon_H223 zenon_H92 zenon_H16a zenon_Hc3. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H1e | zenon_intro zenon_H204 ]. % 11.33/11.49 apply (zenon_L8_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H10c | zenon_intro zenon_H205 ]. % 11.33/11.49 apply (zenon_L232_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_Hcc | zenon_intro zenon_H120 ]. % 11.33/11.49 apply (zenon_L436_); trivial. % 11.33/11.49 apply (zenon_L258_); trivial. % 11.33/11.49 (* end of lemma zenon_L437_ *) % 11.33/11.49 assert (zenon_L438_ : ((op (e3) (e0)) = (e3)) -> ((op (e2) (e0)) = (e3)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> False). % 11.33/11.49 do 0 intro. intros zenon_H15e zenon_H152 zenon_H226. % 11.33/11.49 elim (classic ((op (e3) (e0)) = (op (e3) (e0)))); [ zenon_intro zenon_H213 | zenon_intro zenon_Hf9 ]. % 11.33/11.49 cut (((op (e3) (e0)) = (op (e3) (e0))) = ((op (e2) (e0)) = (op (e3) (e0)))). % 11.33/11.49 intro zenon_D_pnotp. % 11.33/11.49 apply zenon_H226. % 11.33/11.49 rewrite <- zenon_D_pnotp. % 11.33/11.49 exact zenon_H213. % 11.33/11.49 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hf9]. % 11.33/11.49 cut (((op (e3) (e0)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H231]. % 11.33/11.49 congruence. % 11.33/11.49 cut (((op (e3) (e0)) = (e3)) = ((op (e3) (e0)) = (op (e2) (e0)))). % 11.33/11.49 intro zenon_D_pnotp. % 11.33/11.49 apply zenon_H231. % 11.33/11.49 rewrite <- zenon_D_pnotp. % 11.33/11.49 exact zenon_H15e. % 11.33/11.49 cut (((e3) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H232]. % 11.33/11.49 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hf9]. % 11.33/11.49 congruence. % 11.33/11.49 apply zenon_Hf9. apply refl_equal. % 11.33/11.49 apply zenon_H232. apply sym_equal. exact zenon_H152. % 11.33/11.49 apply zenon_Hf9. apply refl_equal. % 11.33/11.49 apply zenon_Hf9. apply refl_equal. % 11.33/11.49 (* end of lemma zenon_L438_ *) % 11.33/11.49 assert (zenon_L439_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((e2) = (e3))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e1) (e0)) = (e2)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e0) (e1)) = (e3)) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e1) (e2)) = (e1))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e0)) = (e0)) -> (~((e0) = (e3))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e2) (e0)) = (e3)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> False). % 11.33/11.49 do 0 intro. intros zenon_H1df zenon_H92 zenon_H223 zenon_H1f3 zenon_H222 zenon_He5 zenon_Hed zenon_H105 zenon_H3c zenon_H14f zenon_H16e zenon_H3f zenon_H1c1 zenon_H1cb zenon_H41 zenon_H1a2 zenon_H30 zenon_H16c zenon_H58 zenon_H157 zenon_H19f zenon_H27 zenon_H5c zenon_H192 zenon_H19c zenon_H65 zenon_Had zenon_Hc0 zenon_H39 zenon_H106 zenon_H22e zenon_H20 zenon_Hd0 zenon_H22c zenon_H1d8 zenon_H1ca zenon_H57 zenon_H34 zenon_H203 zenon_He6 zenon_H16a zenon_Hae zenon_Hf6 zenon_H152 zenon_H226. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H1e0 ]. % 11.33/11.49 apply (zenon_L437_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H99 | zenon_intro zenon_H1e1 ]. % 11.33/11.49 apply (zenon_L146_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H9a | zenon_intro zenon_H15e ]. % 11.33/11.49 apply (zenon_L256_); trivial. % 11.33/11.49 apply (zenon_L438_); trivial. % 11.33/11.49 (* end of lemma zenon_L439_ *) % 11.33/11.49 assert (zenon_L440_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))\/((((op (e1) (e1)) = (e1))/\(((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0)))/\(((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1)))/\(((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2)))/\((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3)))))))\/((((op (e2) (e2)) = (e2))/\(((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0)))/\(((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3)))))))\/(((op (e3) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3)))))))))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e2) (e0)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e0) = (e3))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (e1))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e1))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e0) (e1)) = (e3)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e0)) = (e2)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (e2))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((e1) = (e3))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e3)) = (e2))) -> False). % 11.33/11.49 do 0 intro. intros zenon_H161 zenon_Heb zenon_Hf0 zenon_Hb0 zenon_H1f0 zenon_H1e2 zenon_H15d zenon_H122 zenon_H1b0 zenon_He2 zenon_H1db zenon_H125 zenon_Hf3 zenon_H90 zenon_H38 zenon_H44 zenon_H13a zenon_H2b zenon_H49 zenon_H226 zenon_H152 zenon_Hf6 zenon_H16a zenon_H203 zenon_H34 zenon_H57 zenon_H1ca zenon_H1d8 zenon_H22c zenon_Hd0 zenon_H20 zenon_H22e zenon_H106 zenon_H39 zenon_Hc0 zenon_Had zenon_H65 zenon_H19c zenon_H192 zenon_H5c zenon_H27 zenon_H19f zenon_H157 zenon_H58 zenon_H16c zenon_H30 zenon_H1a2 zenon_H41 zenon_H1cb zenon_H1c1 zenon_H3f zenon_H16e zenon_H14f zenon_H3c zenon_H105 zenon_Hed zenon_He5 zenon_H222 zenon_H1f3 zenon_H223 zenon_H92 zenon_H1df zenon_Hb1. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H1e | zenon_intro zenon_H204 ]. % 11.33/11.49 apply (zenon_L8_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H10c | zenon_intro zenon_H205 ]. % 11.33/11.49 apply (zenon_L232_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_Hcc | zenon_intro zenon_H120 ]. % 11.33/11.49 apply (zenon_L431_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H1f | zenon_intro zenon_H107 ]. % 11.33/11.49 apply (zenon_L130_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H56 | zenon_intro zenon_H108 ]. % 11.33/11.49 apply (zenon_L247_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hc5 | zenon_intro zenon_He6 ]. % 11.33/11.49 apply (zenon_L415_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H9a | zenon_intro zenon_Hb2 ]. % 11.33/11.49 apply (zenon_L434_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Hb3 ]. % 11.33/11.49 apply (zenon_L98_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_Hae | zenon_intro zenon_Hb4 ]. % 11.33/11.49 apply (zenon_L439_); trivial. % 11.33/11.49 exact (zenon_Hb1 zenon_Hb4). % 11.33/11.49 (* end of lemma zenon_L440_ *) % 11.33/11.49 assert (zenon_L441_ : (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e0) = (e3))) -> ((op (e1) (e3)) = (e0)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e2) (e0)) = (e3)) -> (~((op (e1) (e2)) = (e1))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e1))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e0) (e1)) = (e3)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e0)) = (e2)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (e2))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((e1) = (e3))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e0)) -> False). % 11.33/11.49 do 0 intro. intros zenon_H203 zenon_H34 zenon_H7a zenon_H1d8 zenon_H152 zenon_H22c zenon_Hd0 zenon_H20 zenon_H22e zenon_H106 zenon_H39 zenon_Hc0 zenon_Had zenon_H65 zenon_H19c zenon_H192 zenon_H5c zenon_H27 zenon_H19f zenon_H157 zenon_H58 zenon_H16c zenon_H30 zenon_H1a2 zenon_H41 zenon_H1cb zenon_H1c1 zenon_H3f zenon_H16e zenon_H14f zenon_H3c zenon_H105 zenon_Hed zenon_He5 zenon_H222 zenon_H1f3 zenon_H223 zenon_H92 zenon_H16a zenon_Hc3. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H1e | zenon_intro zenon_H204 ]. % 11.33/11.49 apply (zenon_L8_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H10c | zenon_intro zenon_H205 ]. % 11.33/11.49 apply (zenon_L135_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_Hcc | zenon_intro zenon_H120 ]. % 11.33/11.49 apply (zenon_L436_); trivial. % 11.33/11.49 apply (zenon_L258_); trivial. % 11.33/11.49 (* end of lemma zenon_L441_ *) % 11.33/11.49 assert (zenon_L442_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (e1))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e0)) -> (~((e1) = (e2))) -> False). % 11.33/11.49 do 0 intro. intros zenon_H4c zenon_Hc3 zenon_He3 zenon_He2 zenon_Hcb zenon_H167 zenon_H15d zenon_H113 zenon_H1ca zenon_H141 zenon_H79 zenon_H8d zenon_H13f zenon_H203 zenon_H1d8 zenon_H22c zenon_H22e zenon_H106 zenon_Hc0 zenon_Had zenon_H65 zenon_H19c zenon_H192 zenon_H5c zenon_H19f zenon_H157 zenon_H16c zenon_H1a2 zenon_H1cb zenon_H1c1 zenon_H16e zenon_H14f zenon_H105 zenon_He5 zenon_H222 zenon_H1f3 zenon_H223 zenon_H92 zenon_H16a zenon_H161 zenon_Hb8 zenon_Hed zenon_H13a zenon_H20 zenon_H49 zenon_H2b zenon_H3c zenon_H34 zenon_H41 zenon_H38 zenon_H44 zenon_H27 zenon_Hd0 zenon_H30. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.33/11.49 exact (zenon_H2b zenon_H26). % 11.33/11.49 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.33/11.49 apply (zenon_L228_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.33/11.49 apply (zenon_L57_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ]. % 11.33/11.49 exact (zenon_H2b zenon_H26). % 11.33/11.49 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ]. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.33/11.49 exact (zenon_H38 zenon_H33). % 11.33/11.49 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ]. % 11.33/11.49 exact (zenon_H38 zenon_H33). % 11.33/11.49 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ]. % 11.33/11.49 apply (zenon_L31_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ]. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ]. % 11.33/11.49 apply (zenon_L437_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ]. % 11.33/11.49 apply (zenon_L292_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ]. % 11.33/11.49 apply (zenon_L293_); trivial. % 11.33/11.49 apply (zenon_L441_); trivial. % 11.33/11.49 apply (zenon_L141_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.33/11.49 apply (zenon_L59_); trivial. % 11.33/11.49 apply (zenon_L113_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ]. % 11.33/11.49 apply (zenon_L244_); trivial. % 11.33/11.49 apply (zenon_L51_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.33/11.49 apply (zenon_L284_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.33/11.49 apply (zenon_L61_); trivial. % 11.33/11.49 apply (zenon_L286_); trivial. % 11.33/11.49 (* end of lemma zenon_L442_ *) % 11.33/11.49 assert (zenon_L443_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e2))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e0)) = (e1)) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e1)) = (e1)) -> (~((e0) = (e1))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False). % 11.33/11.49 do 0 intro. intros zenon_Hfa zenon_H13a zenon_H34 zenon_H167 zenon_He2 zenon_He3 zenon_H38 zenon_H44 zenon_H65 zenon_H1d5 zenon_H30 zenon_Hd0 zenon_H27 zenon_Hc7 zenon_Hcb zenon_H4f zenon_H49 zenon_H14f zenon_H56 zenon_H20 zenon_H154 zenon_H117 zenon_H3f zenon_H61 zenon_Hed zenon_H141. % 11.33/11.49 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H6e | zenon_intro zenon_Hfc ]. % 11.33/11.49 apply (zenon_L237_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hfd ]. % 11.33/11.49 apply (zenon_L164_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hce | zenon_intro zenon_H96 ]. % 11.33/11.49 apply (zenon_L165_); trivial. % 11.33/11.49 apply (zenon_L250_); trivial. % 11.33/11.49 (* end of lemma zenon_L443_ *) % 11.33/11.49 assert (zenon_L444_ : (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e2) (e2)) = (e3))) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e2) (e0)) = (e3)) -> (~((op (e1) (e2)) = (e1))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e1))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e0) (e1)) = (e3)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e0)) = (e2)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (e2))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((e1) = (e3))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e0)) -> False). % 11.33/11.49 do 0 intro. intros zenon_H203 zenon_H201 zenon_He2 zenon_H34 zenon_Hf3 zenon_H1d8 zenon_H152 zenon_H22c zenon_Hd0 zenon_H20 zenon_H22e zenon_H106 zenon_H39 zenon_Hc0 zenon_Had zenon_H65 zenon_H19c zenon_H192 zenon_H5c zenon_H27 zenon_H19f zenon_H157 zenon_H58 zenon_H16c zenon_H30 zenon_H1a2 zenon_H41 zenon_H1cb zenon_H1c1 zenon_H3f zenon_H16e zenon_H90 zenon_H14f zenon_H3c zenon_H105 zenon_H16a zenon_Hc3. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H1e | zenon_intro zenon_H204 ]. % 11.33/11.49 apply (zenon_L8_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H10c | zenon_intro zenon_H205 ]. % 11.33/11.49 apply (zenon_L424_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_Hcc | zenon_intro zenon_H120 ]. % 11.33/11.49 apply (zenon_L431_); trivial. % 11.33/11.49 apply (zenon_L258_); trivial. % 11.33/11.49 (* end of lemma zenon_L444_ *) % 11.33/11.49 assert (zenon_L445_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((e2) = (e3))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e1) (e0)) = (e2)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e0) (e1)) = (e3)) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e1) (e2)) = (e1))) -> ((op (e2) (e0)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e0) = (e3))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e3) (e2)) = (e3))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e3) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> False). % 11.33/11.49 do 0 intro. intros zenon_H1df zenon_H105 zenon_H3c zenon_H14f zenon_H90 zenon_H16e zenon_H3f zenon_H1c1 zenon_H1cb zenon_H41 zenon_H1a2 zenon_H30 zenon_H16c zenon_H58 zenon_H157 zenon_H19f zenon_H27 zenon_H5c zenon_H192 zenon_H19c zenon_H65 zenon_Had zenon_Hc0 zenon_H39 zenon_H106 zenon_H22e zenon_H20 zenon_Hd0 zenon_H22c zenon_H152 zenon_H1d8 zenon_Hf3 zenon_H34 zenon_He2 zenon_H201 zenon_H203 zenon_He6 zenon_H16a zenon_Hae zenon_Hf6 zenon_H15f zenon_H15d. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H1e0 ]. % 11.33/11.49 apply (zenon_L444_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H99 | zenon_intro zenon_H1e1 ]. % 11.33/11.49 apply (zenon_L146_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H9a | zenon_intro zenon_H15e ]. % 11.33/11.49 apply (zenon_L256_); trivial. % 11.33/11.49 apply (zenon_L142_); trivial. % 11.33/11.49 (* end of lemma zenon_L445_ *) % 11.33/11.49 assert (zenon_L446_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e3) (e3)) = (e3)) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e2) (e2)) = (e3))) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e2) (e0)) = (e3)) -> (~((op (e1) (e2)) = (e1))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e1))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e0) (e1)) = (e3)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e0)) = (e2)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((e1) = (e3))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e2)) -> False). % 11.33/11.49 do 0 intro. intros zenon_Hb0 zenon_Hed zenon_H161 zenon_H38 zenon_H57 zenon_H101 zenon_H1db zenon_H44 zenon_H15d zenon_H15f zenon_Hf6 zenon_H16a zenon_H203 zenon_H201 zenon_He2 zenon_H34 zenon_Hf3 zenon_H1d8 zenon_H152 zenon_H22c zenon_Hd0 zenon_H20 zenon_H22e zenon_H106 zenon_H39 zenon_Hc0 zenon_Had zenon_H65 zenon_H19c zenon_H192 zenon_H5c zenon_H27 zenon_H19f zenon_H157 zenon_H58 zenon_H16c zenon_H30 zenon_H1a2 zenon_H41 zenon_H1cb zenon_H1c1 zenon_H16e zenon_H90 zenon_H14f zenon_H3c zenon_H105 zenon_H1df zenon_H13a zenon_H3f. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H1f | zenon_intro zenon_H107 ]. % 11.33/11.49 apply (zenon_L130_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H56 | zenon_intro zenon_H108 ]. % 11.33/11.49 apply (zenon_L247_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hc5 | zenon_intro zenon_He6 ]. % 11.33/11.49 apply (zenon_L415_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H9a | zenon_intro zenon_Hb2 ]. % 11.33/11.49 apply (zenon_L419_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Hb3 ]. % 11.33/11.49 apply (zenon_L235_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_Hae | zenon_intro zenon_Hb4 ]. % 11.33/11.49 apply (zenon_L445_); trivial. % 11.33/11.49 apply (zenon_L420_); trivial. % 11.33/11.49 (* end of lemma zenon_L446_ *) % 11.33/11.49 assert (zenon_L447_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (((op (e3) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e0) = (e2))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e3) (e2)) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (e1))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e1))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> False). % 11.33/11.49 do 0 intro. intros zenon_H12d zenon_H1b8 zenon_H1df zenon_H15f zenon_Hb0 zenon_H15d zenon_H1db zenon_H101 zenon_Hf6 zenon_H4c zenon_H27 zenon_He3 zenon_He2 zenon_Hcb zenon_H167 zenon_H203 zenon_H201 zenon_Hf3 zenon_H1d8 zenon_H22c zenon_H22e zenon_H106 zenon_Hc0 zenon_Had zenon_H65 zenon_H19c zenon_H192 zenon_H5c zenon_H19f zenon_H157 zenon_H16c zenon_H1a2 zenon_H1cb zenon_H1c1 zenon_H16e zenon_H14f zenon_H105 zenon_H16a zenon_H161 zenon_Hb8 zenon_H41 zenon_H34 zenon_H3c zenon_H38 zenon_H44 zenon_Hed zenon_H13a zenon_H30 zenon_H2b zenon_H49 zenon_H20 zenon_Hd0 zenon_H61 zenon_H90. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H25 | zenon_intro zenon_H12e ]. % 11.33/11.49 apply (zenon_L221_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H57 | zenon_intro zenon_H12f ]. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.33/11.49 exact (zenon_H2b zenon_H26). % 11.33/11.49 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.33/11.49 apply (zenon_L228_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.33/11.49 apply (zenon_L57_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ]. % 11.33/11.49 exact (zenon_H2b zenon_H26). % 11.33/11.49 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ]. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.33/11.49 exact (zenon_H38 zenon_H33). % 11.33/11.49 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ]. % 11.33/11.49 exact (zenon_H38 zenon_H33). % 11.33/11.49 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ]. % 11.33/11.49 apply (zenon_L31_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ]. % 11.33/11.49 apply (zenon_L446_); trivial. % 11.33/11.49 apply (zenon_L141_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.33/11.49 apply (zenon_L59_); trivial. % 11.33/11.49 apply (zenon_L11_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ]. % 11.33/11.49 apply (zenon_L422_); trivial. % 11.33/11.49 apply (zenon_L419_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.33/11.49 apply (zenon_L284_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.33/11.49 apply (zenon_L61_); trivial. % 11.33/11.49 apply (zenon_L286_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H6e | zenon_intro zenon_Hc3 ]. % 11.33/11.49 apply (zenon_L237_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.33/11.49 exact (zenon_H2b zenon_H26). % 11.33/11.49 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.33/11.49 apply (zenon_L228_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.33/11.49 apply (zenon_L57_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ]. % 11.33/11.49 exact (zenon_H2b zenon_H26). % 11.33/11.49 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ]. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.33/11.49 exact (zenon_H38 zenon_H33). % 11.33/11.49 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ]. % 11.33/11.49 exact (zenon_H38 zenon_H33). % 11.33/11.49 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ]. % 11.33/11.49 apply (zenon_L31_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ]. % 11.33/11.49 apply (zenon_L444_); trivial. % 11.33/11.49 apply (zenon_L201_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.33/11.49 apply (zenon_L59_); trivial. % 11.33/11.49 apply (zenon_L11_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ]. % 11.33/11.49 apply (zenon_L422_); trivial. % 11.33/11.49 apply (zenon_L51_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.33/11.49 apply (zenon_L284_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.33/11.49 apply (zenon_L61_); trivial. % 11.33/11.49 apply (zenon_L127_); trivial. % 11.33/11.49 (* end of lemma zenon_L447_ *) % 11.33/11.49 assert (zenon_L448_ : (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e2) (e1)) = (e2)) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e2)) = (e0)) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e1) = (e2))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e2)) = (e1))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e2)) = (e3))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e3) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((e0) = (e1))) -> ((op (e2) (e3)) = (e0)) -> ((op (e3) (e1)) = (e0)) -> ((op (e3) (e0)) = (e2)) -> False). % 11.33/11.49 do 0 intro. intros zenon_H1d5 zenon_Hc7 zenon_H4f zenon_H61 zenon_Hd0 zenon_H49 zenon_H2b zenon_H30 zenon_H13a zenon_Hed zenon_H44 zenon_H38 zenon_H3c zenon_H34 zenon_H41 zenon_Hb8 zenon_H161 zenon_H16a zenon_H105 zenon_H14f zenon_H16e zenon_H1c1 zenon_H1cb zenon_H1a2 zenon_H16c zenon_H157 zenon_H19f zenon_H5c zenon_H192 zenon_H19c zenon_H65 zenon_Had zenon_Hc0 zenon_H106 zenon_H22e zenon_H22c zenon_H1d8 zenon_Hf3 zenon_H201 zenon_H203 zenon_H167 zenon_Hcb zenon_He2 zenon_He3 zenon_H27 zenon_H4c zenon_Hf6 zenon_H101 zenon_H1db zenon_H15d zenon_Hb0 zenon_H15f zenon_H1df zenon_H1b8 zenon_H12d zenon_H20 zenon_H96 zenon_H120 zenon_H9a. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H47 | zenon_intro zenon_H1d6 ]. % 11.33/11.49 apply (zenon_L169_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H90 | zenon_intro zenon_H1d7 ]. % 11.33/11.49 apply (zenon_L447_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H118 | zenon_intro zenon_He7 ]. % 11.33/11.49 apply (zenon_L166_); trivial. % 11.33/11.49 apply (zenon_L266_); trivial. % 11.33/11.49 (* end of lemma zenon_L448_ *) % 11.33/11.49 assert (zenon_L449_ : (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e2)) -> ((op (e3) (e1)) = (e0)) -> ((op (e2) (e3)) = (e0)) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (((op (e3) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e0) = (e2))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e3) (e2)) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (e1))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e0)) = (e1)) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (e2))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False). % 11.33/11.49 do 0 intro. intros zenon_H226 zenon_H9a zenon_H120 zenon_H96 zenon_H20 zenon_H12d zenon_H1b8 zenon_H1df zenon_H15f zenon_Hb0 zenon_H15d zenon_H1db zenon_H101 zenon_Hf6 zenon_H4c zenon_H27 zenon_He3 zenon_He2 zenon_Hcb zenon_H167 zenon_H203 zenon_H201 zenon_Hf3 zenon_H1d8 zenon_H22c zenon_H22e zenon_H106 zenon_Hc0 zenon_Had zenon_H65 zenon_H19c zenon_H192 zenon_H5c zenon_H19f zenon_H157 zenon_H16c zenon_H1a2 zenon_H1cb zenon_H14f zenon_H105 zenon_H16a zenon_H161 zenon_Hb8 zenon_H41 zenon_H34 zenon_H3c zenon_H38 zenon_H44 zenon_Hed zenon_H13a zenon_H30 zenon_H2b zenon_H49 zenon_Hd0 zenon_H61 zenon_H4f zenon_H1d5 zenon_H1c1 zenon_H3f zenon_H16e. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H1a3 ]. % 11.33/11.49 apply (zenon_L361_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H1a4 ]. % 11.33/11.49 apply (zenon_L448_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H5a | zenon_intro zenon_H18a ]. % 11.33/11.49 exact (zenon_H1c1 zenon_H5a). % 11.33/11.49 apply (zenon_L213_); trivial. % 11.33/11.49 (* end of lemma zenon_L449_ *) % 11.33/11.49 assert (zenon_L450_ : ((~((op (e3) (e3)) = (e2)))\/(~((op (e3) (e2)) = (e3)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e1))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))\/((((op (e1) (e1)) = (e1))/\(((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0)))/\(((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1)))/\(((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2)))/\((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3)))))))\/((((op (e2) (e2)) = (e2))/\(((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0)))/\(((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3)))))))\/(((op (e3) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3)))))))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e2)) = (e1))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> False). % 11.33/11.49 do 0 intro. intros zenon_H200 zenon_H101 zenon_Hd0 zenon_H1b8 zenon_H4c zenon_H2b zenon_H44 zenon_H3c zenon_H34 zenon_H41 zenon_H27 zenon_H30 zenon_H49 zenon_H20 zenon_H10b zenon_H1c1 zenon_H12d zenon_H113 zenon_H13f zenon_H8d zenon_Hf3 zenon_Heb zenon_H10e zenon_H1ca zenon_H105 zenon_H1d8 zenon_H22e zenon_H19c zenon_Hc0 zenon_H5c zenon_H192 zenon_Had zenon_H19f zenon_H16c zenon_H1cb zenon_H106 zenon_H203 zenon_H122 zenon_Hf0 zenon_Hb0 zenon_H16a zenon_H1df zenon_H1f0 zenon_H1e2 zenon_H1f3 zenon_H1b0 zenon_Hf6 zenon_H125 zenon_H1db zenon_H226 zenon_H92 zenon_H223 zenon_He5 zenon_H222 zenon_H22c zenon_Hcb zenon_He3 zenon_H167 zenon_H11b zenon_H1a2 zenon_H157 zenon_H15d zenon_H161 zenon_H65 zenon_H16e zenon_H14f zenon_H154 zenon_H61 zenon_H141 zenon_H117 zenon_H1d5 zenon_Hfa zenon_H187 zenon_Hb8 zenon_H13a zenon_H210. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H201 ]. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H51 | zenon_intro zenon_H1b1 ]. % 11.33/11.49 apply (zenon_L222_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H53 | zenon_intro zenon_H1b2 ]. % 11.33/11.49 apply (zenon_L224_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H132 | zenon_intro zenon_H15f ]. % 11.33/11.49 apply (zenon_L225_); trivial. % 11.33/11.49 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_Hed. zenon_intro zenon_H160. % 11.33/11.49 apply (zenon_and_s _ _ zenon_H160). zenon_intro zenon_H1b4. zenon_intro zenon_H1b3. % 11.33/11.49 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_H1b6. zenon_intro zenon_H1b5. % 11.33/11.49 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H18e. zenon_intro zenon_H1b7. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H38 | zenon_intro zenon_H72 ]. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H79 | zenon_intro zenon_H90 ]. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_He2 | zenon_intro zenon_H18a ]. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H25 | zenon_intro zenon_H12e ]. % 11.33/11.49 apply (zenon_L221_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H57 | zenon_intro zenon_H12f ]. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.33/11.49 exact (zenon_H2b zenon_H26). % 11.33/11.49 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.33/11.49 apply (zenon_L228_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.33/11.49 apply (zenon_L57_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ]. % 11.33/11.49 exact (zenon_H2b zenon_H26). % 11.33/11.49 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ]. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.33/11.49 exact (zenon_H38 zenon_H33). % 11.33/11.49 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ]. % 11.33/11.49 exact (zenon_H38 zenon_H33). % 11.33/11.49 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ]. % 11.33/11.49 apply (zenon_L231_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ]. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H6d | zenon_intro zenon_H93 ]. % 11.33/11.49 apply (zenon_L423_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H56 | zenon_intro zenon_H94 ]. % 11.33/11.49 apply (zenon_L252_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H88 | zenon_intro zenon_H90 ]. % 11.33/11.49 exact (zenon_H22c zenon_H88). % 11.33/11.49 apply (zenon_L440_); trivial. % 11.33/11.49 apply (zenon_L141_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.33/11.49 apply (zenon_L59_); trivial. % 11.33/11.49 apply (zenon_L113_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ]. % 11.33/11.49 apply (zenon_L422_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.33/11.49 exact (zenon_H38 zenon_H33). % 11.33/11.49 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ]. % 11.33/11.49 exact (zenon_H38 zenon_H33). % 11.33/11.49 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ]. % 11.33/11.49 apply (zenon_L118_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ]. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H1e | zenon_intro zenon_H204 ]. % 11.33/11.49 apply (zenon_L8_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H10c | zenon_intro zenon_H205 ]. % 11.33/11.49 apply (zenon_L232_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_Hcc | zenon_intro zenon_H120 ]. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H6d | zenon_intro zenon_H93 ]. % 11.33/11.49 apply (zenon_L179_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H56 | zenon_intro zenon_H94 ]. % 11.33/11.49 apply (zenon_L246_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H88 | zenon_intro zenon_H90 ]. % 11.33/11.49 exact (zenon_H22c zenon_H88). % 11.33/11.49 apply (zenon_L432_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H6d | zenon_intro zenon_H93 ]. % 11.33/11.49 apply (zenon_L423_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H56 | zenon_intro zenon_H94 ]. % 11.33/11.49 apply (zenon_L252_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H88 | zenon_intro zenon_H90 ]. % 11.33/11.49 exact (zenon_H22c zenon_H88). % 11.33/11.49 apply (zenon_L433_); trivial. % 11.33/11.49 apply (zenon_L142_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.33/11.49 apply (zenon_L59_); trivial. % 11.33/11.49 apply (zenon_L11_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.33/11.49 apply (zenon_L284_); trivial. % 11.33/11.49 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.33/11.49 apply (zenon_L61_); trivial. % 11.33/11.49 apply (zenon_L286_); trivial. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H6e | zenon_intro zenon_Hc3 ]. % 11.33/11.50 apply (zenon_L237_); trivial. % 11.33/11.50 apply (zenon_L442_); trivial. % 11.33/11.50 apply (zenon_L295_); trivial. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_He2 | zenon_intro zenon_H18a ]. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H25 | zenon_intro zenon_H12e ]. % 11.33/11.50 apply (zenon_L221_); trivial. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H57 | zenon_intro zenon_H12f ]. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.33/11.50 exact (zenon_H2b zenon_H26). % 11.33/11.50 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.33/11.50 apply (zenon_L228_); trivial. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.33/11.50 apply (zenon_L57_); trivial. % 11.33/11.50 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ]. % 11.33/11.50 exact (zenon_H2b zenon_H26). % 11.33/11.50 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ]. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.33/11.50 exact (zenon_H38 zenon_H33). % 11.33/11.50 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ]. % 11.33/11.50 exact (zenon_H38 zenon_H33). % 11.33/11.50 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ]. % 11.33/11.50 apply (zenon_L231_); trivial. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ]. % 11.33/11.50 apply (zenon_L440_); trivial. % 11.33/11.50 apply (zenon_L142_); trivial. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.33/11.50 apply (zenon_L59_); trivial. % 11.33/11.50 apply (zenon_L113_); trivial. % 11.33/11.50 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ]. % 11.33/11.50 apply (zenon_L244_); trivial. % 11.33/11.50 apply (zenon_L434_); trivial. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.33/11.50 apply (zenon_L284_); trivial. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.33/11.50 apply (zenon_L61_); trivial. % 11.33/11.50 apply (zenon_L67_); trivial. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H6e | zenon_intro zenon_Hc3 ]. % 11.33/11.50 apply (zenon_L237_); trivial. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.33/11.50 exact (zenon_H2b zenon_H26). % 11.33/11.50 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.33/11.50 apply (zenon_L228_); trivial. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.33/11.50 apply (zenon_L57_); trivial. % 11.33/11.50 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ]. % 11.33/11.50 exact (zenon_H2b zenon_H26). % 11.33/11.50 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ]. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.33/11.50 exact (zenon_H38 zenon_H33). % 11.33/11.50 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ]. % 11.33/11.50 exact (zenon_H38 zenon_H33). % 11.33/11.50 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ]. % 11.33/11.50 apply (zenon_L31_); trivial. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ]. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ]. % 11.33/11.50 apply (zenon_L437_); trivial. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ]. % 11.33/11.50 apply (zenon_L296_); trivial. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ]. % 11.33/11.50 apply (zenon_L293_); trivial. % 11.33/11.50 apply (zenon_L441_); trivial. % 11.33/11.50 apply (zenon_L201_); trivial. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.33/11.50 apply (zenon_L59_); trivial. % 11.33/11.50 apply (zenon_L113_); trivial. % 11.33/11.50 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ]. % 11.33/11.50 apply (zenon_L422_); trivial. % 11.33/11.50 apply (zenon_L51_); trivial. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.33/11.50 apply (zenon_L284_); trivial. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.33/11.50 apply (zenon_L61_); trivial. % 11.33/11.50 apply (zenon_L127_); trivial. % 11.33/11.50 apply (zenon_L295_); trivial. % 11.33/11.50 apply (zenon_L297_); trivial. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H51 | zenon_intro zenon_H1b1 ]. % 11.33/11.50 apply (zenon_L222_); trivial. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H53 | zenon_intro zenon_H1b2 ]. % 11.33/11.50 apply (zenon_L224_); trivial. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H132 | zenon_intro zenon_H15f ]. % 11.33/11.50 apply (zenon_L225_); trivial. % 11.33/11.50 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_Hed. zenon_intro zenon_H160. % 11.33/11.50 apply (zenon_and_s _ _ zenon_H160). zenon_intro zenon_H1b4. zenon_intro zenon_H1b3. % 11.33/11.50 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_H1b6. zenon_intro zenon_H1b5. % 11.33/11.50 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H18e. zenon_intro zenon_H1b7. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H38 | zenon_intro zenon_H72 ]. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H79 | zenon_intro zenon_H90 ]. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_He2 | zenon_intro zenon_H18a ]. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H25 | zenon_intro zenon_H12e ]. % 11.33/11.50 apply (zenon_L221_); trivial. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H57 | zenon_intro zenon_H12f ]. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.33/11.50 exact (zenon_H2b zenon_H26). % 11.33/11.50 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.33/11.50 apply (zenon_L228_); trivial. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.33/11.50 apply (zenon_L57_); trivial. % 11.33/11.50 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ]. % 11.33/11.50 exact (zenon_H2b zenon_H26). % 11.33/11.50 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ]. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.33/11.50 exact (zenon_H38 zenon_H33). % 11.33/11.50 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ]. % 11.33/11.50 exact (zenon_H38 zenon_H33). % 11.33/11.50 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ]. % 11.33/11.50 apply (zenon_L118_); trivial. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ]. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H6d | zenon_intro zenon_H93 ]. % 11.33/11.50 apply (zenon_L179_); trivial. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H56 | zenon_intro zenon_H94 ]. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H2c | zenon_intro zenon_H109 ]. % 11.33/11.50 apply (zenon_L65_); trivial. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H6c | zenon_intro zenon_H10a ]. % 11.33/11.50 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H6e | zenon_intro zenon_Hfc ]. % 11.33/11.50 apply (zenon_L161_); trivial. % 11.33/11.50 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hfd ]. % 11.33/11.50 apply (zenon_L429_); trivial. % 11.33/11.50 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hce | zenon_intro zenon_H96 ]. % 11.33/11.50 apply (zenon_L165_); trivial. % 11.33/11.50 apply (zenon_L251_); trivial. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Ha4 ]. % 11.33/11.50 apply (zenon_L443_); trivial. % 11.33/11.50 apply (zenon_L235_); trivial. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H88 | zenon_intro zenon_H90 ]. % 11.33/11.50 exact (zenon_H22c zenon_H88). % 11.33/11.50 apply (zenon_L446_); trivial. % 11.33/11.50 apply (zenon_L141_); trivial. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.33/11.50 apply (zenon_L59_); trivial. % 11.33/11.50 apply (zenon_L113_); trivial. % 11.33/11.50 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ]. % 11.33/11.50 apply (zenon_L422_); trivial. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.33/11.50 exact (zenon_H38 zenon_H33). % 11.33/11.50 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ]. % 11.33/11.50 exact (zenon_H38 zenon_H33). % 11.33/11.50 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ]. % 11.33/11.50 apply (zenon_L231_); trivial. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ]. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H1e | zenon_intro zenon_H204 ]. % 11.33/11.50 apply (zenon_L8_); trivial. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H10c | zenon_intro zenon_H205 ]. % 11.33/11.50 apply (zenon_L232_); trivial. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_Hcc | zenon_intro zenon_H120 ]. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H6d | zenon_intro zenon_H93 ]. % 11.33/11.50 apply (zenon_L423_); trivial. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H56 | zenon_intro zenon_H94 ]. % 11.33/11.50 apply (zenon_L246_); trivial. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H88 | zenon_intro zenon_H90 ]. % 11.33/11.50 exact (zenon_H22c zenon_H88). % 11.33/11.50 apply (zenon_L417_); trivial. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H6d | zenon_intro zenon_H93 ]. % 11.33/11.50 apply (zenon_L179_); trivial. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H56 | zenon_intro zenon_H94 ]. % 11.33/11.50 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H6e | zenon_intro zenon_Hfc ]. % 11.33/11.50 apply (zenon_L161_); trivial. % 11.33/11.50 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hfd ]. % 11.33/11.50 apply (zenon_L246_); trivial. % 11.33/11.50 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hce | zenon_intro zenon_H96 ]. % 11.33/11.50 apply (zenon_L165_); trivial. % 11.33/11.50 apply (zenon_L449_); trivial. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H88 | zenon_intro zenon_H90 ]. % 11.33/11.50 exact (zenon_H22c zenon_H88). % 11.33/11.50 apply (zenon_L417_); trivial. % 11.33/11.50 apply (zenon_L302_); trivial. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.33/11.50 apply (zenon_L59_); trivial. % 11.33/11.50 apply (zenon_L11_); trivial. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.33/11.50 apply (zenon_L284_); trivial. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.33/11.50 apply (zenon_L61_); trivial. % 11.33/11.50 apply (zenon_L286_); trivial. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H6e | zenon_intro zenon_Hc3 ]. % 11.33/11.50 apply (zenon_L237_); trivial. % 11.33/11.50 apply (zenon_L442_); trivial. % 11.33/11.50 apply (zenon_L295_); trivial. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_He2 | zenon_intro zenon_H18a ]. % 11.33/11.50 apply (zenon_L447_); trivial. % 11.33/11.50 apply (zenon_L295_); trivial. % 11.33/11.50 apply (zenon_L297_); trivial. % 11.33/11.50 (* end of lemma zenon_L450_ *) % 11.33/11.50 assert (zenon_L451_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e2)) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e1)) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e3))) -> False). % 11.33/11.50 do 0 intro. intros zenon_H44 zenon_H38 zenon_H41 zenon_H2c zenon_H3c zenon_H2e zenon_H72 zenon_H34. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.33/11.50 exact (zenon_H38 zenon_H33). % 11.33/11.50 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.33/11.50 apply (zenon_L65_); trivial. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.33/11.50 apply (zenon_L9_); trivial. % 11.33/11.50 apply (zenon_L379_); trivial. % 11.33/11.50 (* end of lemma zenon_L451_ *) % 11.33/11.50 assert (zenon_L452_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e0) (e2)) = (e1)) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e2))) -> False). % 11.33/11.50 do 0 intro. intros zenon_H49 zenon_H34 zenon_H3c zenon_H41 zenon_H38 zenon_H44 zenon_H30 zenon_H2e zenon_H72 zenon_H27. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.33/11.50 exact (zenon_H38 zenon_H33). % 11.33/11.50 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.33/11.50 apply (zenon_L156_); trivial. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.33/11.50 apply (zenon_L9_); trivial. % 11.33/11.50 apply (zenon_L379_); trivial. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.33/11.50 apply (zenon_L451_); trivial. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.33/11.50 apply (zenon_L6_); trivial. % 11.33/11.50 apply (zenon_L180_); trivial. % 11.33/11.50 (* end of lemma zenon_L452_ *) % 11.33/11.50 assert (zenon_L453_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e0) (e0)) = (e1)) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e2))) -> False). % 11.33/11.50 do 0 intro. intros zenon_H49 zenon_H30 zenon_H4f zenon_H3c zenon_H34 zenon_H41 zenon_H1e zenon_H38 zenon_H44 zenon_H72 zenon_H27. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.33/11.50 apply (zenon_L160_); trivial. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.33/11.50 apply (zenon_L380_); trivial. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.33/11.50 exact (zenon_H38 zenon_H33). % 11.33/11.50 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.33/11.50 apply (zenon_L8_); trivial. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.33/11.50 apply (zenon_L13_); trivial. % 11.33/11.50 apply (zenon_L379_); trivial. % 11.33/11.50 apply (zenon_L180_); trivial. % 11.33/11.50 (* end of lemma zenon_L453_ *) % 11.33/11.50 assert (zenon_L454_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e1) = (e2))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e2))) -> False). % 11.33/11.50 do 0 intro. intros zenon_H49 zenon_H2b zenon_H30 zenon_H1f zenon_H65 zenon_H5a zenon_H72 zenon_H27. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.33/11.50 exact (zenon_H2b zenon_H26). % 11.33/11.50 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.33/11.50 apply (zenon_L211_); trivial. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.33/11.50 apply (zenon_L23_); trivial. % 11.33/11.50 apply (zenon_L180_); trivial. % 11.33/11.50 (* end of lemma zenon_L454_ *) % 11.33/11.50 assert (zenon_L455_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e1)) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e2))) -> False). % 11.33/11.50 do 0 intro. intros zenon_H49 zenon_H2b zenon_H34 zenon_H2e zenon_H3c zenon_H41 zenon_H38 zenon_H44 zenon_H65 zenon_H5a zenon_H72 zenon_H27. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.33/11.50 exact (zenon_H2b zenon_H26). % 11.33/11.50 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.33/11.50 apply (zenon_L451_); trivial. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.33/11.50 apply (zenon_L23_); trivial. % 11.33/11.50 apply (zenon_L180_); trivial. % 11.33/11.50 (* end of lemma zenon_L455_ *) % 11.33/11.50 assert (zenon_L456_ : (((op (e3) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))))))) -> (~((op (e3) (e3)) = (e3))) -> False). % 11.33/11.50 do 0 intro. intros zenon_H15f zenon_H233. % 11.33/11.50 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_Hed. zenon_intro zenon_H160. % 11.33/11.50 exact (zenon_H233 zenon_Hed). % 11.33/11.50 (* end of lemma zenon_L456_ *) % 11.33/11.50 assert (zenon_L457_ : ((((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))\/((((op (e1) (e1)) = (e1))/\(((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0)))/\(((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1)))/\(((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2)))/\((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3)))))))\/((((op (e2) (e2)) = (e2))/\(((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0)))/\(((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3)))))))\/(((op (e3) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3)))))))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e0) (e0)) = (e3))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> False). % 11.33/11.50 do 0 intro. intros zenon_H1b0 zenon_H10b zenon_H4c zenon_H20 zenon_H38 zenon_H30 zenon_H44 zenon_H72 zenon_H34 zenon_H41 zenon_H3c zenon_H65 zenon_H27 zenon_H49 zenon_H210 zenon_H233. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H51 | zenon_intro zenon_H1b1 ]. % 11.33/11.50 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H25. zenon_intro zenon_H52. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.33/11.50 apply (zenon_L129_); trivial. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.33/11.50 apply (zenon_L3_); trivial. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.33/11.50 apply (zenon_L211_); trivial. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.33/11.50 exact (zenon_H38 zenon_H33). % 11.33/11.50 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.33/11.50 apply (zenon_L130_); trivial. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.33/11.50 apply (zenon_L13_); trivial. % 11.33/11.50 apply (zenon_L379_); trivial. % 11.33/11.50 apply (zenon_L180_); trivial. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.33/11.50 apply (zenon_L452_); trivial. % 11.33/11.50 apply (zenon_L182_); trivial. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H53 | zenon_intro zenon_H1b2 ]. % 11.33/11.50 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H56. zenon_intro zenon_H55. % 11.33/11.50 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H1c0. zenon_intro zenon_H1bf. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H1c0); [ zenon_intro zenon_H4d | zenon_intro zenon_H1e ]. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.33/11.50 exact (zenon_H4d zenon_H4f). % 11.33/11.50 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.33/11.50 apply (zenon_L223_); trivial. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.33/11.50 apply (zenon_L452_); trivial. % 11.33/11.50 apply (zenon_L182_); trivial. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.33/11.50 apply (zenon_L453_); trivial. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.33/11.50 apply (zenon_L223_); trivial. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.33/11.50 apply (zenon_L452_); trivial. % 11.33/11.50 apply (zenon_L182_); trivial. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H132 | zenon_intro zenon_H15f ]. % 11.33/11.50 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H5a. zenon_intro zenon_H133. % 11.33/11.50 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H135. zenon_intro zenon_H134. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H2b | zenon_intro zenon_Hd0 ]. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.33/11.50 exact (zenon_H2b zenon_H26). % 11.33/11.50 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.33/11.50 apply (zenon_L380_); trivial. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.33/11.50 apply (zenon_L23_); trivial. % 11.33/11.50 apply (zenon_L180_); trivial. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.33/11.50 apply (zenon_L454_); trivial. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.33/11.50 apply (zenon_L455_); trivial. % 11.33/11.50 apply (zenon_L182_); trivial. % 11.33/11.50 apply (zenon_L297_); trivial. % 11.33/11.50 apply (zenon_L456_); trivial. % 11.33/11.50 (* end of lemma zenon_L457_ *) % 11.33/11.50 assert (zenon_L458_ : (((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))))))) -> (~((op (e0) (e0)) = (e0))) -> False). % 11.33/11.50 do 0 intro. intros zenon_H51 zenon_H234. % 11.33/11.50 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H25. zenon_intro zenon_H52. % 11.33/11.50 exact (zenon_H234 zenon_H25). % 11.33/11.50 (* end of lemma zenon_L458_ *) % 11.33/11.50 assert (zenon_L459_ : ((op (e1) (e1)) = (e1)) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> False). % 11.33/11.50 do 0 intro. intros zenon_H56 zenon_H6d zenon_H1ca. % 11.33/11.50 elim (classic ((op (e1) (e1)) = (op (e1) (e1)))); [ zenon_intro zenon_H1bc | zenon_intro zenon_H1bd ]. % 11.33/11.50 cut (((op (e1) (e1)) = (op (e1) (e1))) = ((op (e1) (e0)) = (op (e1) (e1)))). % 11.33/11.50 intro zenon_D_pnotp. % 11.33/11.50 apply zenon_H1ca. % 11.33/11.50 rewrite <- zenon_D_pnotp. % 11.33/11.50 exact zenon_H1bc. % 11.33/11.50 cut (((op (e1) (e1)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1bd]. % 11.33/11.50 cut (((op (e1) (e1)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H235]. % 11.33/11.50 congruence. % 11.33/11.50 cut (((op (e1) (e1)) = (e1)) = ((op (e1) (e1)) = (op (e1) (e0)))). % 11.33/11.50 intro zenon_D_pnotp. % 11.33/11.50 apply zenon_H235. % 11.33/11.50 rewrite <- zenon_D_pnotp. % 11.33/11.50 exact zenon_H56. % 11.33/11.50 cut (((e1) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H12c]. % 11.33/11.50 cut (((op (e1) (e1)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1bd]. % 11.33/11.50 congruence. % 11.33/11.50 apply zenon_H1bd. apply refl_equal. % 11.33/11.50 apply zenon_H12c. apply sym_equal. exact zenon_H6d. % 11.33/11.50 apply zenon_H1bd. apply refl_equal. % 11.33/11.50 apply zenon_H1bd. apply refl_equal. % 11.33/11.50 (* end of lemma zenon_L459_ *) % 11.33/11.50 assert (zenon_L460_ : (((op (e1) (e1)) = (e1))/\(((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0)))/\(((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1)))/\(((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2)))/\((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))))))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> False). % 11.33/11.50 do 0 intro. intros zenon_H53 zenon_H6d zenon_H1ca. % 11.33/11.50 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H56. zenon_intro zenon_H55. % 11.33/11.50 apply (zenon_L459_); trivial. % 11.33/11.50 (* end of lemma zenon_L460_ *) % 11.33/11.50 assert (zenon_L461_ : (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e1)) = (e2))) -> ((op (e1) (e3)) = (e0)) -> ((op (e1) (e0)) = (e2)) -> False). % 11.33/11.50 do 0 intro. intros zenon_H15a zenon_H207 zenon_H1ca zenon_H6d zenon_H68 zenon_H7a zenon_H58. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H10c | zenon_intro zenon_H15b ]. % 11.33/11.50 exact (zenon_H207 zenon_H10c). % 11.33/11.50 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H56 | zenon_intro zenon_H15c ]. % 11.33/11.50 apply (zenon_L459_); trivial. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_H6c | zenon_intro zenon_H78 ]. % 11.33/11.50 exact (zenon_H68 zenon_H6c). % 11.33/11.50 apply (zenon_L34_); trivial. % 11.33/11.50 (* end of lemma zenon_L461_ *) % 11.33/11.50 assert (zenon_L462_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> ((op (e1) (e3)) = (e0)) -> (~((e0) = (e2))) -> False). % 11.33/11.50 do 0 intro. intros zenon_H69 zenon_H6d zenon_H1ca zenon_H207 zenon_H15a zenon_H68 zenon_H5c zenon_H5a zenon_H7a zenon_H27. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H58 | zenon_intro zenon_H6a ]. % 11.33/11.50 apply (zenon_L461_); trivial. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6c | zenon_intro zenon_H6b ]. % 11.33/11.50 exact (zenon_H68 zenon_H6c). % 11.33/11.50 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H5b | zenon_intro zenon_H62 ]. % 11.33/11.50 apply (zenon_L21_); trivial. % 11.33/11.50 apply (zenon_L103_); trivial. % 11.33/11.50 (* end of lemma zenon_L462_ *) % 11.33/11.50 assert (zenon_L463_ : ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((e0) = (e1))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> False). % 11.33/11.50 do 0 intro. intros zenon_H137 zenon_H10e zenon_H20 zenon_H6d zenon_H207 zenon_H13f zenon_Hd0 zenon_H69 zenon_H27 zenon_H5a zenon_H5c zenon_H1ca zenon_H15a zenon_H113. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H68 | zenon_intro zenon_H88 ]. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ]. % 11.33/11.50 apply (zenon_L423_); trivial. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ]. % 11.33/11.50 exact (zenon_H207 zenon_H10c). % 11.33/11.50 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ]. % 11.33/11.50 apply (zenon_L293_); trivial. % 11.33/11.50 apply (zenon_L462_); trivial. % 11.33/11.50 apply (zenon_L106_); trivial. % 11.33/11.50 (* end of lemma zenon_L463_ *) % 11.33/11.50 assert (zenon_L464_ : (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e0)) -> ((op (e2) (e1)) = (e0)) -> False). % 11.33/11.50 do 0 intro. intros zenon_Hc4 zenon_H6e zenon_Hcc. % 11.33/11.50 cut (((op (e2) (e0)) = (e0)) = ((op (e2) (e0)) = (op (e2) (e1)))). % 11.33/11.50 intro zenon_D_pnotp. % 11.33/11.50 apply zenon_Hc4. % 11.33/11.50 rewrite <- zenon_D_pnotp. % 11.33/11.50 exact zenon_H6e. % 11.33/11.50 cut (((e0) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Hcd]. % 11.33/11.50 cut (((op (e2) (e0)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H98]. % 11.33/11.50 congruence. % 11.33/11.50 apply zenon_H98. apply refl_equal. % 11.33/11.50 apply zenon_Hcd. apply sym_equal. exact zenon_Hcc. % 11.33/11.50 (* end of lemma zenon_L464_ *) % 11.33/11.50 assert (zenon_L465_ : ((op (e1) (e3)) = (e2)) -> ((op (e1) (e3)) = (e3)) -> (~((e2) = (e3))) -> False). % 11.33/11.50 do 0 intro. intros zenon_H62 zenon_H8b zenon_H41. % 11.33/11.50 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H35 | zenon_intro zenon_H36 ]. % 11.33/11.50 cut (((e3) = (e3)) = ((e2) = (e3))). % 11.33/11.50 intro zenon_D_pnotp. % 11.33/11.50 apply zenon_H41. % 11.33/11.50 rewrite <- zenon_D_pnotp. % 11.33/11.50 exact zenon_H35. % 11.33/11.50 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H36]. % 11.33/11.50 cut (((e3) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H42]. % 11.33/11.50 congruence. % 11.33/11.50 cut (((op (e1) (e3)) = (e2)) = ((e3) = (e2))). % 11.33/11.50 intro zenon_D_pnotp. % 11.33/11.50 apply zenon_H42. % 11.33/11.50 rewrite <- zenon_D_pnotp. % 11.33/11.50 exact zenon_H62. % 11.33/11.50 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H29]. % 11.33/11.50 cut (((op (e1) (e3)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H8c]. % 11.33/11.50 congruence. % 11.33/11.50 exact (zenon_H8c zenon_H8b). % 11.33/11.50 apply zenon_H29. apply refl_equal. % 11.33/11.50 apply zenon_H36. apply refl_equal. % 11.33/11.50 apply zenon_H36. apply refl_equal. % 11.33/11.50 (* end of lemma zenon_L465_ *) % 11.33/11.50 assert (zenon_L466_ : (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> ((op (e3) (e3)) = (e0)) -> False). % 11.33/11.50 do 0 intro. intros zenon_H13a zenon_H72 zenon_H9d. % 11.33/11.50 cut (((op (e0) (e3)) = (e0)) = ((op (e0) (e3)) = (op (e3) (e3)))). % 11.33/11.50 intro zenon_D_pnotp. % 11.33/11.50 apply zenon_H13a. % 11.33/11.50 rewrite <- zenon_D_pnotp. % 11.33/11.50 exact zenon_H72. % 11.33/11.50 cut (((e0) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Ha6]. % 11.33/11.50 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H64]. % 11.33/11.50 congruence. % 11.33/11.50 apply zenon_H64. apply refl_equal. % 11.33/11.50 apply zenon_Ha6. apply sym_equal. exact zenon_H9d. % 11.33/11.50 (* end of lemma zenon_L466_ *) % 11.33/11.50 assert (zenon_L467_ : (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e2)) -> ((op (e3) (e1)) = (e0)) -> ((op (e1) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False). % 11.33/11.50 do 0 intro. intros zenon_Hf0 zenon_H72 zenon_H13a zenon_H9a zenon_H120 zenon_H62 zenon_H141 zenon_H164 zenon_He3. % 11.33/11.50 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf1 ]. % 11.33/11.50 apply (zenon_L466_); trivial. % 11.33/11.50 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_He7 | zenon_intro zenon_Hf2 ]. % 11.33/11.50 apply (zenon_L266_); trivial. % 11.33/11.50 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_Hb4 | zenon_intro zenon_Hed ]. % 11.33/11.50 apply (zenon_L336_); trivial. % 11.33/11.50 apply (zenon_L144_); trivial. % 11.33/11.50 (* end of lemma zenon_L467_ *) % 11.33/11.50 assert (zenon_L468_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e1)) = (e2))) -> (~((e0) = (e2))) -> ((op (e1) (e2)) = (e0)) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e0)) -> ((op (e3) (e0)) = (e2)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e2)) = (e3)) -> False). % 11.33/11.50 do 0 intro. intros zenon_H69 zenon_H30 zenon_H6d zenon_H68 zenon_H27 zenon_He0 zenon_H236 zenon_H34 zenon_H41 zenon_He3 zenon_H141 zenon_H120 zenon_H9a zenon_H13a zenon_H72 zenon_Hf0 zenon_Heb zenon_Hec. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H58 | zenon_intro zenon_H6a ]. % 11.33/11.50 apply (zenon_L26_); trivial. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6c | zenon_intro zenon_H6b ]. % 11.33/11.50 exact (zenon_H68 zenon_H6c). % 11.33/11.50 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H5b | zenon_intro zenon_H62 ]. % 11.33/11.50 apply (zenon_L347_); trivial. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H40 | zenon_intro zenon_H237 ]. % 11.33/11.50 apply (zenon_L379_); trivial. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H8b | zenon_intro zenon_H238 ]. % 11.33/11.50 apply (zenon_L465_); trivial. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H164 | zenon_intro zenon_Hed ]. % 11.33/11.50 apply (zenon_L467_); trivial. % 11.33/11.50 apply (zenon_L74_); trivial. % 11.33/11.50 (* end of lemma zenon_L468_ *) % 11.33/11.50 assert (zenon_L469_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e0) = (e1))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e2)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (~((op (e1) (e1)) = (e2))) -> ((op (e1) (e0)) = (e1)) -> (~((e1) = (e2))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((op (e2) (e2)) = (e2)) -> ((op (e0) (e2)) = (e1)) -> (~((e1) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e1) (e1)) = (e0))) -> ((op (e0) (e1)) = (e2)) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False). % 11.33/11.50 do 0 intro. intros zenon_H113 zenon_H20 zenon_Heb zenon_Hf0 zenon_H13a zenon_H9a zenon_H141 zenon_He3 zenon_H41 zenon_H34 zenon_H236 zenon_H27 zenon_H68 zenon_H6d zenon_H30 zenon_H69 zenon_H5a zenon_H2e zenon_H3c zenon_Hf3 zenon_Hc4 zenon_H6e zenon_H207 zenon_H2c zenon_H203 zenon_H61 zenon_H72. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ]. % 11.33/11.50 apply (zenon_L423_); trivial. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ]. % 11.33/11.50 exact (zenon_H207 zenon_H10c). % 11.33/11.50 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ]. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H1e | zenon_intro zenon_H204 ]. % 11.33/11.50 apply (zenon_L4_); trivial. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H10c | zenon_intro zenon_H205 ]. % 11.33/11.50 exact (zenon_H207 zenon_H10c). % 11.33/11.50 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_Hcc | zenon_intro zenon_H120 ]. % 11.33/11.50 apply (zenon_L464_); trivial. % 11.33/11.50 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H3b | zenon_intro zenon_Hf4 ]. % 11.33/11.50 apply (zenon_L9_); trivial. % 11.33/11.50 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H89 | zenon_intro zenon_Hf5 ]. % 11.33/11.50 apply (zenon_L69_); trivial. % 11.33/11.50 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_He1 | zenon_intro zenon_Hec ]. % 11.33/11.50 apply (zenon_L70_); trivial. % 11.33/11.50 apply (zenon_L468_); trivial. % 11.33/11.50 apply (zenon_L335_); trivial. % 11.33/11.50 (* end of lemma zenon_L469_ *) % 11.33/11.50 assert (zenon_L470_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e0)) = (e0))) -> (~((e0) = (e1))) -> ((op (e0) (e3)) = (e0)) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e1) = (e3))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (e2))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e1) = (e2))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((e0) = (e2))) -> False). % 11.33/11.50 do 0 intro. intros zenon_H12d zenon_H234 zenon_H20 zenon_H72 zenon_H49 zenon_H61 zenon_H203 zenon_H207 zenon_Hc4 zenon_Hf3 zenon_H3c zenon_H69 zenon_H68 zenon_H236 zenon_H34 zenon_H41 zenon_He3 zenon_H141 zenon_H13a zenon_Hf0 zenon_Heb zenon_H113 zenon_H65 zenon_H187 zenon_H4c zenon_Hb8 zenon_H2b zenon_H30 zenon_H6d zenon_Hc0 zenon_H5a zenon_H27. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H25 | zenon_intro zenon_H12e ]. % 11.33/11.50 exact (zenon_H234 zenon_H25). % 11.33/11.50 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H57 | zenon_intro zenon_H12f ]. % 11.33/11.50 apply (zenon_L423_); trivial. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H6e | zenon_intro zenon_Hc3 ]. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.33/11.50 apply (zenon_L179_); trivial. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.33/11.50 apply (zenon_L454_); trivial. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.33/11.50 exact (zenon_H2b zenon_H26). % 11.33/11.50 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.33/11.50 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ]. % 11.33/11.50 exact (zenon_H2b zenon_H26). % 11.33/11.50 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ]. % 11.33/11.50 apply (zenon_L26_); trivial. % 11.33/11.50 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ]. % 11.33/11.50 apply (zenon_L48_); trivial. % 11.33/11.50 apply (zenon_L469_); trivial. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.33/11.50 apply (zenon_L23_); trivial. % 11.33/11.50 apply (zenon_L180_); trivial. % 11.33/11.50 apply (zenon_L182_); trivial. % 11.33/11.50 apply (zenon_L52_); trivial. % 11.33/11.50 (* end of lemma zenon_L470_ *) % 11.33/11.50 assert (zenon_L471_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e3))) -> ((op (e1) (e0)) = (e1)) -> (~((e1) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False). % 11.33/11.50 do 0 intro. intros zenon_H44 zenon_H38 zenon_H1f zenon_H141 zenon_H13f zenon_H79 zenon_H6d zenon_H3c zenon_H8d zenon_Hed zenon_H13a. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.33/11.50 exact (zenon_H38 zenon_H33). % 11.33/11.50 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.33/11.50 apply (zenon_L130_); trivial. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.33/11.50 apply (zenon_L124_); trivial. % 11.33/11.50 apply (zenon_L113_); trivial. % 11.33/11.50 (* end of lemma zenon_L471_ *) % 11.33/11.50 assert (zenon_L472_ : (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e0)) -> ((op (e3) (e1)) = (e0)) -> False). % 11.33/11.50 do 0 intro. intros zenon_H222 zenon_H1e zenon_H120. % 11.33/11.50 cut (((op (e0) (e1)) = (e0)) = ((op (e0) (e1)) = (op (e3) (e1)))). % 11.33/11.50 intro zenon_D_pnotp. % 11.33/11.50 apply zenon_H222. % 11.33/11.50 rewrite <- zenon_D_pnotp. % 11.33/11.50 exact zenon_H1e. % 11.33/11.50 cut (((e0) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1de]. % 11.33/11.50 cut (((op (e0) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H74]. % 11.33/11.50 congruence. % 11.33/11.50 apply zenon_H74. apply refl_equal. % 11.33/11.50 apply zenon_H1de. apply sym_equal. exact zenon_H120. % 11.33/11.50 (* end of lemma zenon_L472_ *) % 11.33/11.50 assert (zenon_L473_ : (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e3) (e3)) = (e1))) -> ((op (e3) (e1)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e3)) -> False). % 11.33/11.50 do 0 intro. intros zenon_Hf0 zenon_H9e zenon_H1e5 zenon_Ha4 zenon_He5 zenon_H15d zenon_H15e. % 11.33/11.50 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf1 ]. % 11.33/11.50 exact (zenon_H9e zenon_H9d). % 11.33/11.50 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_He7 | zenon_intro zenon_Hf2 ]. % 11.33/11.50 exact (zenon_H1e5 zenon_He7). % 11.33/11.50 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_Hb4 | zenon_intro zenon_Hed ]. % 11.33/11.50 apply (zenon_L73_); trivial. % 11.33/11.50 apply (zenon_L141_); trivial. % 11.33/11.50 (* end of lemma zenon_L473_ *) % 11.33/11.50 assert (zenon_L474_ : ((op (e3) (e1)) = (e3)) -> ((op (e3) (e0)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> False). % 11.33/11.50 do 0 intro. intros zenon_H147 zenon_H15e zenon_H16a. % 11.33/11.50 elim (classic ((op (e3) (e1)) = (op (e3) (e1)))); [ zenon_intro zenon_H239 | zenon_intro zenon_He9 ]. % 11.33/11.50 cut (((op (e3) (e1)) = (op (e3) (e1))) = ((op (e3) (e0)) = (op (e3) (e1)))). % 11.33/11.50 intro zenon_D_pnotp. % 11.33/11.50 apply zenon_H16a. % 11.33/11.50 rewrite <- zenon_D_pnotp. % 11.33/11.50 exact zenon_H239. % 11.33/11.50 cut (((op (e3) (e1)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_He9]. % 11.33/11.50 cut (((op (e3) (e1)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H23a]. % 11.33/11.50 congruence. % 11.33/11.50 cut (((op (e3) (e1)) = (e3)) = ((op (e3) (e1)) = (op (e3) (e0)))). % 11.33/11.50 intro zenon_D_pnotp. % 11.33/11.50 apply zenon_H23a. % 11.33/11.50 rewrite <- zenon_D_pnotp. % 11.33/11.50 exact zenon_H147. % 11.33/11.50 cut (((e3) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H1ed]. % 11.33/11.50 cut (((op (e3) (e1)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_He9]. % 11.33/11.50 congruence. % 11.33/11.50 apply zenon_He9. apply refl_equal. % 11.33/11.50 apply zenon_H1ed. apply sym_equal. exact zenon_H15e. % 11.33/11.50 apply zenon_He9. apply refl_equal. % 11.33/11.50 apply zenon_He9. apply refl_equal. % 11.33/11.50 (* end of lemma zenon_L474_ *) % 11.33/11.50 assert (zenon_L475_ : (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> False). % 11.33/11.50 do 0 intro. intros zenon_H223 zenon_H1e zenon_H222 zenon_H56 zenon_H1f3 zenon_H15d zenon_He5 zenon_H1e5 zenon_H9e zenon_Hf0 zenon_H15e zenon_H16a. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H120 | zenon_intro zenon_H224 ]. % 11.33/11.50 apply (zenon_L472_); trivial. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_He6 | zenon_intro zenon_H225 ]. % 11.33/11.50 apply (zenon_L278_); trivial. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_Ha4 | zenon_intro zenon_H147 ]. % 11.33/11.50 apply (zenon_L473_); trivial. % 11.33/11.50 apply (zenon_L474_); trivial. % 11.33/11.50 (* end of lemma zenon_L475_ *) % 11.33/11.50 assert (zenon_L476_ : (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e1)) -> ((op (e3) (e2)) = (e1)) -> False). % 11.33/11.50 do 0 intro. intros zenon_H101 zenon_H2e zenon_H1d9. % 11.33/11.50 cut (((op (e0) (e2)) = (e1)) = ((op (e0) (e2)) = (op (e3) (e2)))). % 11.33/11.50 intro zenon_D_pnotp. % 11.33/11.50 apply zenon_H101. % 11.33/11.50 rewrite <- zenon_D_pnotp. % 11.33/11.50 exact zenon_H2e. % 11.33/11.50 cut (((e1) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H1da]. % 11.33/11.50 cut (((op (e0) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H140]. % 11.33/11.50 congruence. % 11.33/11.50 apply zenon_H140. apply refl_equal. % 11.33/11.50 apply zenon_H1da. apply sym_equal. exact zenon_H1d9. % 11.33/11.50 (* end of lemma zenon_L476_ *) % 11.33/11.50 assert (zenon_L477_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e3) (e0)) = (e3)) -> (~((e1) = (e3))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e1))) -> False). % 11.33/11.50 do 0 intro. intros zenon_H1f0 zenon_H15e zenon_H3c zenon_H56 zenon_H1f3 zenon_H2e zenon_H101 zenon_H1e5. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H99 | zenon_intro zenon_H1f1 ]. % 11.33/11.50 apply (zenon_L196_); trivial. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_He6 | zenon_intro zenon_H1f2 ]. % 11.33/11.50 apply (zenon_L278_); trivial. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H1d9 | zenon_intro zenon_He7 ]. % 11.33/11.50 apply (zenon_L476_); trivial. % 11.33/11.50 exact (zenon_H1e5 zenon_He7). % 11.33/11.50 (* end of lemma zenon_L477_ *) % 11.33/11.50 assert (zenon_L478_ : ((op (e3) (e0)) = (e3)) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> False). % 11.33/11.50 do 0 intro. intros zenon_H15e zenon_H33 zenon_H1e2. % 11.33/11.50 elim (classic ((op (e3) (e0)) = (op (e3) (e0)))); [ zenon_intro zenon_H213 | zenon_intro zenon_Hf9 ]. % 11.33/11.50 cut (((op (e3) (e0)) = (op (e3) (e0))) = ((op (e0) (e0)) = (op (e3) (e0)))). % 11.33/11.50 intro zenon_D_pnotp. % 11.33/11.50 apply zenon_H1e2. % 11.33/11.50 rewrite <- zenon_D_pnotp. % 11.33/11.50 exact zenon_H213. % 11.33/11.50 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hf9]. % 11.33/11.50 cut (((op (e3) (e0)) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H23b]. % 11.33/11.50 congruence. % 11.33/11.50 cut (((op (e3) (e0)) = (e3)) = ((op (e3) (e0)) = (op (e0) (e0)))). % 11.33/11.50 intro zenon_D_pnotp. % 11.33/11.50 apply zenon_H23b. % 11.33/11.50 rewrite <- zenon_D_pnotp. % 11.33/11.50 exact zenon_H15e. % 11.33/11.50 cut (((e3) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hd9]. % 11.33/11.50 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hf9]. % 11.33/11.50 congruence. % 11.33/11.50 apply zenon_Hf9. apply refl_equal. % 11.33/11.50 apply zenon_Hd9. apply sym_equal. exact zenon_H33. % 11.33/11.50 apply zenon_Hf9. apply refl_equal. % 11.33/11.50 apply zenon_Hf9. apply refl_equal. % 11.33/11.50 (* end of lemma zenon_L478_ *) % 11.33/11.50 assert (zenon_L479_ : (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e0)) = (e0)) -> ((op (e1) (e3)) = (e0)) -> False). % 11.33/11.50 do 0 intro. intros zenon_H23c zenon_H57 zenon_H7a. % 11.33/11.50 cut (((op (e1) (e0)) = (e0)) = ((op (e1) (e0)) = (op (e1) (e3)))). % 11.33/11.50 intro zenon_D_pnotp. % 11.33/11.50 apply zenon_H23c. % 11.33/11.50 rewrite <- zenon_D_pnotp. % 11.33/11.50 exact zenon_H57. % 11.33/11.50 cut (((e0) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H21b]. % 11.33/11.50 cut (((op (e1) (e0)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H110]. % 11.33/11.50 congruence. % 11.33/11.50 apply zenon_H110. apply refl_equal. % 11.33/11.50 apply zenon_H21b. apply sym_equal. exact zenon_H7a. % 11.33/11.50 (* end of lemma zenon_L479_ *) % 11.33/11.50 assert (zenon_L480_ : (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e3) (e3)) = (e1))) -> ((op (e1) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e3)) -> False). % 11.33/11.50 do 0 intro. intros zenon_Hf0 zenon_H9e zenon_H1e5 zenon_H62 zenon_H141 zenon_H15d zenon_H15e. % 11.33/11.50 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf1 ]. % 11.33/11.50 exact (zenon_H9e zenon_H9d). % 11.33/11.50 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_He7 | zenon_intro zenon_Hf2 ]. % 11.33/11.50 exact (zenon_H1e5 zenon_He7). % 11.33/11.50 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_Hb4 | zenon_intro zenon_Hed ]. % 11.33/11.50 apply (zenon_L336_); trivial. % 11.33/11.50 apply (zenon_L141_); trivial. % 11.33/11.50 (* end of lemma zenon_L480_ *) % 11.33/11.50 assert (zenon_L481_ : (~((op (e2) (op (e2) (e2))) = (op (e2) (e3)))) -> ((op (e2) (e2)) = (e3)) -> False). % 11.33/11.50 do 0 intro. intros zenon_H23d zenon_He1. % 11.33/11.50 cut (((op (e2) (e2)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_He2]. % 11.33/11.50 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H29]. % 11.33/11.50 congruence. % 11.33/11.50 apply zenon_H29. apply refl_equal. % 11.33/11.50 exact (zenon_He2 zenon_He1). % 11.33/11.50 (* end of lemma zenon_L481_ *) % 11.33/11.50 assert (zenon_L482_ : ((op (e2) (e3)) = (e0)) -> ((op (e2) (e0)) = (e1)) -> ((op (e2) (e2)) = (e3)) -> False). % 11.33/11.50 do 0 intro. intros zenon_H96 zenon_H6f zenon_He1. % 11.33/11.50 apply (zenon_notand_s _ _ ax6); [ zenon_intro zenon_H1ce | zenon_intro zenon_H23e ]. % 11.33/11.50 elim (classic ((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [ zenon_intro zenon_H17c | zenon_intro zenon_H17d ]. % 11.33/11.50 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2)))) = ((e0) = (op (e2) (op (e2) (e2))))). % 11.33/11.50 intro zenon_D_pnotp. % 11.33/11.50 apply zenon_H1ce. % 11.33/11.50 rewrite <- zenon_D_pnotp. % 11.33/11.50 exact zenon_H17c. % 11.33/11.50 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H17d]. % 11.33/11.50 cut (((op (e2) (op (e2) (e2))) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1cf]. % 11.33/11.50 congruence. % 11.33/11.50 cut (((op (e2) (e3)) = (e0)) = ((op (e2) (op (e2) (e2))) = (e0))). % 11.33/11.50 intro zenon_D_pnotp. % 11.33/11.50 apply zenon_H1cf. % 11.33/11.50 rewrite <- zenon_D_pnotp. % 11.33/11.50 exact zenon_H96. % 11.33/11.50 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d]. % 11.33/11.50 cut (((op (e2) (e3)) = (op (e2) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H23f]. % 11.33/11.50 congruence. % 11.33/11.50 elim (classic ((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [ zenon_intro zenon_H17c | zenon_intro zenon_H17d ]. % 11.33/11.50 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2)))) = ((op (e2) (e3)) = (op (e2) (op (e2) (e2))))). % 11.33/11.50 intro zenon_D_pnotp. % 11.33/11.50 apply zenon_H23f. % 11.33/11.50 rewrite <- zenon_D_pnotp. % 11.33/11.50 exact zenon_H17c. % 11.33/11.50 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H17d]. % 11.33/11.50 cut (((op (e2) (op (e2) (e2))) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H23d]. % 11.33/11.50 congruence. % 11.33/11.50 apply (zenon_L481_); trivial. % 11.33/11.50 apply zenon_H17d. apply refl_equal. % 11.33/11.50 apply zenon_H17d. apply refl_equal. % 11.33/11.50 apply zenon_H1d. apply refl_equal. % 11.33/11.50 apply zenon_H17d. apply refl_equal. % 11.33/11.50 apply zenon_H17d. apply refl_equal. % 11.33/11.50 apply (zenon_notand_s _ _ zenon_H23e); [ zenon_intro zenon_H240 | zenon_intro zenon_H19b ]. % 11.33/11.50 elim (classic ((op (e2) (op (e2) (op (e2) (e2)))) = (op (e2) (op (e2) (op (e2) (e2)))))); [ zenon_intro zenon_H182 | zenon_intro zenon_H183 ]. % 11.33/11.50 cut (((op (e2) (op (e2) (op (e2) (e2)))) = (op (e2) (op (e2) (op (e2) (e2))))) = ((e1) = (op (e2) (op (e2) (op (e2) (e2)))))). % 11.33/11.50 intro zenon_D_pnotp. % 11.33/11.50 apply zenon_H240. % 11.33/11.50 rewrite <- zenon_D_pnotp. % 11.33/11.50 exact zenon_H182. % 11.33/11.50 cut (((op (e2) (op (e2) (op (e2) (e2)))) = (op (e2) (op (e2) (op (e2) (e2)))))); [idtac | apply NNPP; zenon_intro zenon_H183]. % 11.33/11.50 cut (((op (e2) (op (e2) (op (e2) (e2)))) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H241]. % 11.33/11.50 congruence. % 11.33/11.50 cut (((op (e2) (e0)) = (e1)) = ((op (e2) (op (e2) (op (e2) (e2)))) = (e1))). % 11.33/11.50 intro zenon_D_pnotp. % 11.33/11.50 apply zenon_H241. % 11.33/11.50 rewrite <- zenon_D_pnotp. % 11.33/11.50 exact zenon_H6f. % 11.33/11.50 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H22]. % 11.33/11.50 cut (((op (e2) (e0)) = (op (e2) (op (e2) (op (e2) (e2)))))); [idtac | apply NNPP; zenon_intro zenon_H1d2]. % 11.33/11.50 congruence. % 11.33/11.50 elim (classic ((op (e2) (op (e2) (op (e2) (e2)))) = (op (e2) (op (e2) (op (e2) (e2)))))); [ zenon_intro zenon_H182 | zenon_intro zenon_H183 ]. % 11.33/11.50 cut (((op (e2) (op (e2) (op (e2) (e2)))) = (op (e2) (op (e2) (op (e2) (e2))))) = ((op (e2) (e0)) = (op (e2) (op (e2) (op (e2) (e2)))))). % 11.33/11.50 intro zenon_D_pnotp. % 11.33/11.50 apply zenon_H1d2. % 11.33/11.50 rewrite <- zenon_D_pnotp. % 11.33/11.50 exact zenon_H182. % 11.33/11.50 cut (((op (e2) (op (e2) (op (e2) (e2)))) = (op (e2) (op (e2) (op (e2) (e2)))))); [idtac | apply NNPP; zenon_intro zenon_H183]. % 11.33/11.50 cut (((op (e2) (op (e2) (op (e2) (e2)))) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H1d3]. % 11.33/11.50 congruence. % 11.33/11.50 cut (((op (e2) (op (e2) (e2))) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1cf]. % 11.33/11.50 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H29]. % 11.33/11.50 congruence. % 11.33/11.50 apply zenon_H29. apply refl_equal. % 11.33/11.50 cut (((op (e2) (e3)) = (e0)) = ((op (e2) (op (e2) (e2))) = (e0))). % 11.33/11.50 intro zenon_D_pnotp. % 11.33/11.50 apply zenon_H1cf. % 11.33/11.50 rewrite <- zenon_D_pnotp. % 11.33/11.50 exact zenon_H96. % 11.33/11.50 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d]. % 11.33/11.50 cut (((op (e2) (e3)) = (op (e2) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H23f]. % 11.33/11.50 congruence. % 11.33/11.50 elim (classic ((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [ zenon_intro zenon_H17c | zenon_intro zenon_H17d ]. % 11.33/11.50 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2)))) = ((op (e2) (e3)) = (op (e2) (op (e2) (e2))))). % 11.33/11.50 intro zenon_D_pnotp. % 11.33/11.50 apply zenon_H23f. % 11.33/11.50 rewrite <- zenon_D_pnotp. % 11.33/11.50 exact zenon_H17c. % 11.33/11.50 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H17d]. % 11.33/11.50 cut (((op (e2) (op (e2) (e2))) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H23d]. % 11.33/11.50 congruence. % 11.33/11.50 apply (zenon_L481_); trivial. % 11.33/11.50 apply zenon_H17d. apply refl_equal. % 11.33/11.50 apply zenon_H17d. apply refl_equal. % 11.33/11.50 apply zenon_H1d. apply refl_equal. % 11.33/11.50 apply zenon_H183. apply refl_equal. % 11.33/11.50 apply zenon_H183. apply refl_equal. % 11.33/11.50 apply zenon_H22. apply refl_equal. % 11.33/11.50 apply zenon_H183. apply refl_equal. % 11.33/11.50 apply zenon_H183. apply refl_equal. % 11.33/11.50 apply zenon_H19b. apply sym_equal. exact zenon_He1. % 11.33/11.50 (* end of lemma zenon_L482_ *) % 11.33/11.50 assert (zenon_L483_ : (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e3)) -> ((op (e2) (e3)) = (e3)) -> False). % 11.33/11.50 do 0 intro. intros zenon_H117 zenon_H8b zenon_H164. % 11.33/11.50 cut (((op (e1) (e3)) = (e3)) = ((op (e1) (e3)) = (op (e2) (e3)))). % 11.33/11.50 intro zenon_D_pnotp. % 11.33/11.50 apply zenon_H117. % 11.33/11.50 rewrite <- zenon_D_pnotp. % 11.33/11.50 exact zenon_H8b. % 11.33/11.50 cut (((e3) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H166]. % 11.33/11.50 cut (((op (e1) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H11a]. % 11.33/11.50 congruence. % 11.33/11.50 apply zenon_H11a. apply refl_equal. % 11.33/11.50 apply zenon_H166. apply sym_equal. exact zenon_H164. % 11.33/11.50 (* end of lemma zenon_L483_ *) % 11.33/11.50 assert (zenon_L484_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e3)) -> ((op (e0) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e3) (e3)) = (e0))) -> ((op (e2) (e0)) = (e1)) -> (~((e0) = (e3))) -> ((op (e0) (e3)) = (e1)) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e3)) -> False). % 11.33/11.50 do 0 intro. intros zenon_H167 zenon_H226 zenon_H15e zenon_H39 zenon_Hcb zenon_H9e zenon_H6f zenon_H34 zenon_H47 zenon_H20 zenon_Hb9 zenon_H117 zenon_H8b. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H152 | zenon_intro zenon_H168 ]. % 11.33/11.50 apply (zenon_L438_); trivial. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H145 | zenon_intro zenon_H169 ]. % 11.33/11.50 apply (zenon_L162_); trivial. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_He1 | zenon_intro zenon_H164 ]. % 11.33/11.50 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H72 | zenon_intro zenon_Hbe ]. % 11.33/11.50 apply (zenon_L182_); trivial. % 11.33/11.50 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H7a | zenon_intro zenon_Hbf ]. % 11.33/11.50 apply (zenon_L36_); trivial. % 11.33/11.50 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H96 | zenon_intro zenon_H9d ]. % 11.33/11.50 apply (zenon_L482_); trivial. % 11.33/11.50 exact (zenon_H9e zenon_H9d). % 11.33/11.50 apply (zenon_L483_); trivial. % 11.33/11.50 (* end of lemma zenon_L484_ *) % 11.33/11.50 assert (zenon_L485_ : (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e3)) -> ((op (e0) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e3) (e3)) = (e0))) -> ((op (e2) (e0)) = (e1)) -> (~((e0) = (e3))) -> ((op (e0) (e3)) = (e1)) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False). % 11.33/11.50 do 0 intro. intros zenon_H154 zenon_H96 zenon_H61 zenon_H15d zenon_H141 zenon_H1e5 zenon_Hf0 zenon_H167 zenon_H226 zenon_H15e zenon_H39 zenon_Hcb zenon_H9e zenon_H6f zenon_H34 zenon_H47 zenon_H20 zenon_Hb9 zenon_H117. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H7a | zenon_intro zenon_H155 ]. % 11.33/11.50 apply (zenon_L187_); trivial. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H90 | zenon_intro zenon_H156 ]. % 11.33/11.50 apply (zenon_L127_); trivial. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H62 | zenon_intro zenon_H8b ]. % 11.33/11.50 apply (zenon_L480_); trivial. % 11.33/11.50 apply (zenon_L484_); trivial. % 11.33/11.50 (* end of lemma zenon_L485_ *) % 11.33/11.50 assert (zenon_L486_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e1)) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e0)) = (e0)) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e3))) -> False). % 11.33/11.50 do 0 intro. intros zenon_H44 zenon_H1e2 zenon_H9e zenon_H154 zenon_H61 zenon_H15d zenon_H141 zenon_H1e5 zenon_Hf0 zenon_H167 zenon_H226 zenon_H15e zenon_Hcb zenon_H6f zenon_H20 zenon_Hb9 zenon_H117 zenon_H23c zenon_H57 zenon_H34 zenon_Hd0 zenon_H47 zenon_H3c. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.33/11.50 apply (zenon_L478_); trivial. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.33/11.50 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H72 | zenon_intro zenon_Hbe ]. % 11.33/11.50 apply (zenon_L182_); trivial. % 11.33/11.50 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H7a | zenon_intro zenon_Hbf ]. % 11.33/11.50 apply (zenon_L479_); trivial. % 11.33/11.50 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H96 | zenon_intro zenon_H9d ]. % 11.33/11.50 apply (zenon_L485_); trivial. % 11.33/11.50 exact (zenon_H9e zenon_H9d). % 11.33/11.50 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.33/11.50 apply (zenon_L59_); trivial. % 11.33/11.50 apply (zenon_L14_); trivial. % 11.33/11.50 (* end of lemma zenon_L486_ *) % 11.33/11.50 assert (zenon_L487_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e2) (e0)) = (e0)) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e1)) -> False). % 11.33/11.50 do 0 intro. intros zenon_H11b zenon_H20 zenon_H6e zenon_H56 zenon_H157 zenon_H11c zenon_H16e zenon_H47. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H6f | zenon_intro zenon_H11d ]. % 11.33/11.50 apply (zenon_L29_); trivial. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H11e ]. % 11.33/11.50 apply (zenon_L239_); trivial. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H11f | zenon_intro zenon_H118 ]. % 11.33/11.50 exact (zenon_H11c zenon_H11f). % 11.33/11.50 apply (zenon_L150_); trivial. % 11.33/11.50 (* end of lemma zenon_L487_ *) % 11.33/11.50 assert (zenon_L488_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e2)) = (e0)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e2) (e0)) = (e0)) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False). % 11.33/11.50 do 0 intro. intros zenon_H4c zenon_H4d zenon_H10b zenon_Hd0 zenon_H11b zenon_H20 zenon_H6e zenon_H56 zenon_H157 zenon_H11c zenon_H16e. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.33/11.50 exact (zenon_H4d zenon_H4f). % 11.33/11.50 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.33/11.50 apply (zenon_L223_); trivial. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.33/11.50 apply (zenon_L61_); trivial. % 11.33/11.50 apply (zenon_L487_); trivial. % 11.33/11.50 (* end of lemma zenon_L488_ *) % 11.33/11.50 assert (zenon_L489_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (~((e1) = (e3))) -> ((op (e3) (e0)) = (e3)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e1))) -> False). % 11.33/11.50 do 0 intro. intros zenon_H4c zenon_H4d zenon_H10b zenon_H1e5 zenon_H101 zenon_H1f3 zenon_H56 zenon_H3c zenon_H15e zenon_H1f0 zenon_H72 zenon_H20. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.33/11.50 exact (zenon_H4d zenon_H4f). % 11.33/11.50 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.33/11.50 apply (zenon_L223_); trivial. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.33/11.50 apply (zenon_L477_); trivial. % 11.33/11.50 apply (zenon_L182_); trivial. % 11.33/11.50 (* end of lemma zenon_L489_ *) % 11.33/11.50 assert (zenon_L490_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e1))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((e0) = (e2))) -> ((op (e2) (e1)) = (e2)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e3))) -> False). % 11.33/11.50 do 0 intro. intros zenon_H44 zenon_H1e2 zenon_H117 zenon_Hb9 zenon_H20 zenon_H6f zenon_H9e zenon_Hcb zenon_H15e zenon_H226 zenon_H167 zenon_Hf0 zenon_H1e5 zenon_H141 zenon_H15d zenon_H61 zenon_H154 zenon_H65 zenon_H27 zenon_Hc7 zenon_Hfa zenon_H34 zenon_Hd0 zenon_H47 zenon_H3c. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.33/11.50 apply (zenon_L478_); trivial. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.33/11.50 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H6e | zenon_intro zenon_Hfc ]. % 11.33/11.50 apply (zenon_L29_); trivial. % 11.33/11.50 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hfd ]. % 11.33/11.50 apply (zenon_L164_); trivial. % 11.33/11.50 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hce | zenon_intro zenon_H96 ]. % 11.33/11.50 apply (zenon_L165_); trivial. % 11.33/11.50 apply (zenon_L485_); trivial. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.33/11.50 apply (zenon_L59_); trivial. % 11.33/11.50 apply (zenon_L14_); trivial. % 11.33/11.50 (* end of lemma zenon_L490_ *) % 11.33/11.50 assert (zenon_L491_ : ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> False). % 11.33/11.50 do 0 intro. intros zenon_H1fe zenon_H222 zenon_H1e zenon_H1f3 zenon_H56 zenon_Hf0 zenon_H15e zenon_H15d zenon_He5 zenon_H9e zenon_H16a zenon_H223. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e5 | zenon_intro zenon_H147 ]. % 11.33/11.50 apply (zenon_L475_); trivial. % 11.33/11.50 apply (zenon_L474_); trivial. % 11.33/11.50 (* end of lemma zenon_L491_ *) % 11.33/11.50 assert (zenon_L492_ : (((op (e1) (e1)) = (e1))/\(((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0)))/\(((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1)))/\(((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2)))/\((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))))))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e3)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((e0) = (e2))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> False). % 11.33/11.50 do 0 intro. intros zenon_H53 zenon_H234 zenon_H223 zenon_H16a zenon_H9e zenon_He5 zenon_H15d zenon_H15e zenon_Hf0 zenon_H1f3 zenon_H222 zenon_H12d zenon_H11b zenon_H16e zenon_H157 zenon_H10b zenon_H1f0 zenon_H101 zenon_H3c zenon_Hb7 zenon_H1e2 zenon_H117 zenon_H61 zenon_H141 zenon_H167 zenon_H34 zenon_Hb9 zenon_Hcb zenon_H226 zenon_H154 zenon_H23c zenon_H20 zenon_H44 zenon_H1ca zenon_H4c zenon_H18f zenon_H27 zenon_H65 zenon_Hfa. % 11.33/11.50 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H56. zenon_intro zenon_H55. % 11.33/11.50 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H1c0. zenon_intro zenon_H1bf. % 11.33/11.50 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_H1fd. zenon_intro zenon_H1fc. % 11.33/11.50 apply (zenon_and_s _ _ zenon_H1fc). zenon_intro zenon_H1ff. zenon_intro zenon_H1fe. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H1c0); [ zenon_intro zenon_H4d | zenon_intro zenon_H1e ]. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H11c | zenon_intro zenon_Hc7 ]. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e5 | zenon_intro zenon_H147 ]. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H25 | zenon_intro zenon_H190 ]. % 11.33/11.50 exact (zenon_H234 zenon_H25). % 11.33/11.50 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H1e | zenon_intro zenon_H191 ]. % 11.33/11.50 apply (zenon_L475_); trivial. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H72 ]. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H25 | zenon_intro zenon_H12e ]. % 11.33/11.50 exact (zenon_H234 zenon_H25). % 11.33/11.50 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H57 | zenon_intro zenon_H12f ]. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.33/11.50 exact (zenon_H4d zenon_H4f). % 11.33/11.50 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.33/11.50 apply (zenon_L223_); trivial. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.33/11.50 apply (zenon_L477_); trivial. % 11.33/11.50 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ]. % 11.33/11.50 exact (zenon_H4d zenon_H4f). % 11.33/11.50 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ]. % 11.33/11.50 apply (zenon_L459_); trivial. % 11.33/11.50 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ]. % 11.33/11.50 apply (zenon_L486_); trivial. % 11.33/11.50 apply (zenon_L196_); trivial. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H6e | zenon_intro zenon_Hc3 ]. % 11.33/11.50 apply (zenon_L488_); trivial. % 11.33/11.50 apply (zenon_L201_); trivial. % 11.33/11.50 apply (zenon_L489_); trivial. % 11.33/11.50 apply (zenon_L474_); trivial. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e5 | zenon_intro zenon_H147 ]. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H25 | zenon_intro zenon_H190 ]. % 11.33/11.50 exact (zenon_H234 zenon_H25). % 11.33/11.50 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H1e | zenon_intro zenon_H191 ]. % 11.33/11.50 apply (zenon_L475_); trivial. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H72 ]. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.33/11.50 exact (zenon_H4d zenon_H4f). % 11.33/11.50 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.33/11.50 apply (zenon_L223_); trivial. % 11.33/11.50 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.33/11.51 apply (zenon_L61_); trivial. % 11.33/11.51 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ]. % 11.33/11.51 exact (zenon_H4d zenon_H4f). % 11.33/11.51 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ]. % 11.33/11.51 apply (zenon_L459_); trivial. % 11.33/11.51 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ]. % 11.33/11.51 apply (zenon_L490_); trivial. % 11.33/11.51 apply (zenon_L196_); trivial. % 11.33/11.51 apply (zenon_L489_); trivial. % 11.33/11.51 apply (zenon_L474_); trivial. % 11.33/11.51 apply (zenon_L491_); trivial. % 11.33/11.51 (* end of lemma zenon_L492_ *) % 11.33/11.51 assert (zenon_L493_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e3) (e0)) = (e3)) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e2))) -> False). % 11.33/11.51 do 0 intro. intros zenon_Hb0 zenon_H15e zenon_H41 zenon_H2c zenon_H222 zenon_H5a zenon_Had zenon_Hb1. % 11.33/11.51 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H9a | zenon_intro zenon_Hb2 ]. % 11.33/11.51 apply (zenon_L302_); trivial. % 11.33/11.51 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Hb3 ]. % 11.33/11.51 apply (zenon_L355_); trivial. % 11.33/11.51 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_Hae | zenon_intro zenon_Hb4 ]. % 11.33/11.51 apply (zenon_L46_); trivial. % 11.33/11.51 exact (zenon_Hb1 zenon_Hb4). % 11.33/11.51 (* end of lemma zenon_L493_ *) % 11.33/11.51 assert (zenon_L494_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e3)) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e1)) -> ((op (e0) (e3)) = (e2)) -> (~((e2) = (e3))) -> False). % 11.33/11.51 do 0 intro. intros zenon_H44 zenon_H1e2 zenon_H15e zenon_H34 zenon_H1e zenon_H3c zenon_H2e zenon_H3f zenon_H41. % 11.33/11.51 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.33/11.51 apply (zenon_L478_); trivial. % 11.33/11.51 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.33/11.51 apply (zenon_L8_); trivial. % 11.33/11.51 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.33/11.51 apply (zenon_L9_); trivial. % 11.33/11.51 apply (zenon_L11_); trivial. % 11.33/11.51 (* end of lemma zenon_L494_ *) % 11.33/11.51 assert (zenon_L495_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e3)) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e1)) -> (~((e2) = (e3))) -> False). % 11.33/11.51 do 0 intro. intros zenon_H49 zenon_H2b zenon_Hb1 zenon_Had zenon_H5a zenon_H222 zenon_Hb0 zenon_H30 zenon_H44 zenon_H1e2 zenon_H15e zenon_H34 zenon_H1e zenon_H3c zenon_H2e zenon_H41. % 11.33/11.51 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.33/11.51 exact (zenon_H2b zenon_H26). % 11.33/11.51 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.33/11.51 apply (zenon_L493_); trivial. % 11.33/11.51 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.33/11.51 apply (zenon_L6_); trivial. % 11.33/11.51 apply (zenon_L494_); trivial. % 11.33/11.51 (* end of lemma zenon_L495_ *) % 11.33/11.51 assert (zenon_L496_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e3)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e2))) -> False). % 11.33/11.51 do 0 intro. intros zenon_H49 zenon_H2b zenon_Hb1 zenon_Had zenon_H222 zenon_H41 zenon_H15e zenon_Hb0 zenon_H65 zenon_H5a zenon_H72 zenon_H27. % 11.33/11.51 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.33/11.51 exact (zenon_H2b zenon_H26). % 11.33/11.51 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.33/11.51 apply (zenon_L493_); trivial. % 11.33/11.51 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.33/11.51 apply (zenon_L23_); trivial. % 11.33/11.51 apply (zenon_L180_); trivial. % 11.33/11.51 (* end of lemma zenon_L496_ *) % 11.33/11.51 assert (zenon_L497_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e2))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e3))) -> ((op (e1) (e2)) = (e1)) -> (~((e1) = (e3))) -> ((op (e1) (e0)) = (e2)) -> ((op (e3) (e0)) = (e3)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e3) (e3)) = (e0))) -> False). % 11.33/11.51 do 0 intro. intros zenon_Hb9 zenon_H27 zenon_H5a zenon_H65 zenon_Hb0 zenon_H41 zenon_H222 zenon_Had zenon_Hb1 zenon_H2b zenon_H49 zenon_H34 zenon_H88 zenon_H3c zenon_H58 zenon_H15e zenon_H212 zenon_H8d zenon_H6e zenon_H95 zenon_H9e. % 11.33/11.51 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H72 | zenon_intro zenon_Hbe ]. % 11.33/11.51 apply (zenon_L496_); trivial. % 11.33/11.51 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H7a | zenon_intro zenon_Hbf ]. % 11.33/11.51 apply (zenon_L300_); trivial. % 11.33/11.51 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H96 | zenon_intro zenon_H9d ]. % 11.33/11.51 apply (zenon_L40_); trivial. % 11.33/11.51 exact (zenon_H9e zenon_H9d). % 11.33/11.51 (* end of lemma zenon_L497_ *) % 11.33/11.51 assert (zenon_L498_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e0)) = (e2)) -> (~((e1) = (e3))) -> ((op (e1) (e2)) = (e1)) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> ((op (e3) (e0)) = (e3)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> False). % 11.33/11.51 do 0 intro. intros zenon_H242 zenon_H9e zenon_H95 zenon_H8d zenon_H212 zenon_H58 zenon_H3c zenon_H88 zenon_H34 zenon_H49 zenon_H2b zenon_Hb1 zenon_Had zenon_H222 zenon_H41 zenon_Hb0 zenon_H65 zenon_H27 zenon_Hb9 zenon_Hc5 zenon_Hc4 zenon_Hc0 zenon_H5a zenon_H15e zenon_H226. % 11.33/11.51 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H6e | zenon_intro zenon_H243 ]. % 11.33/11.51 apply (zenon_L497_); trivial. % 11.33/11.51 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H6f | zenon_intro zenon_H244 ]. % 11.33/11.51 apply (zenon_L53_); trivial. % 11.33/11.51 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H152 ]. % 11.33/11.51 apply (zenon_L50_); trivial. % 11.33/11.51 apply (zenon_L438_); trivial. % 11.33/11.51 (* end of lemma zenon_L498_ *) % 11.33/11.51 assert (zenon_L499_ : (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e3)) -> False). % 11.33/11.51 do 0 intro. intros zenon_Hf0 zenon_H9e zenon_He6 zenon_He5 zenon_Hb1 zenon_H15d zenon_H15e. % 11.33/11.51 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf1 ]. % 11.33/11.51 exact (zenon_H9e zenon_H9d). % 11.33/11.51 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_He7 | zenon_intro zenon_Hf2 ]. % 11.33/11.51 apply (zenon_L72_); trivial. % 11.33/11.51 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_Hb4 | zenon_intro zenon_Hed ]. % 11.33/11.51 exact (zenon_Hb1 zenon_Hb4). % 11.33/11.51 apply (zenon_L141_); trivial. % 11.33/11.51 (* end of lemma zenon_L499_ *) % 11.33/11.51 assert (zenon_L500_ : (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> ((op (e3) (e0)) = (e2)) -> ((op (e3) (e1)) = (e0)) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e3)) -> False). % 11.33/11.51 do 0 intro. intros zenon_Hf0 zenon_H9e zenon_H9a zenon_H120 zenon_Hb1 zenon_H15d zenon_H15e. % 11.33/11.51 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf1 ]. % 11.33/11.51 exact (zenon_H9e zenon_H9d). % 11.33/11.51 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_He7 | zenon_intro zenon_Hf2 ]. % 11.33/11.51 apply (zenon_L266_); trivial. % 11.33/11.51 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_Hb4 | zenon_intro zenon_Hed ]. % 11.33/11.51 exact (zenon_Hb1 zenon_Hb4). % 11.33/11.51 apply (zenon_L141_); trivial. % 11.33/11.51 (* end of lemma zenon_L500_ *) % 11.33/11.51 assert (zenon_L501_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e3) (e0)) = (e3)) -> (~((e0) = (e3))) -> (~((e0) = (e2))) -> ((op (e3) (e1)) = (e2)) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e0))) -> False). % 11.33/11.51 do 0 intro. intros zenon_H122 zenon_H15e zenon_H34 zenon_H27 zenon_Ha4 zenon_Hd0 zenon_H101 zenon_H9e. % 11.33/11.51 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H123 ]. % 11.33/11.51 apply (zenon_L201_); trivial. % 11.33/11.51 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H120 | zenon_intro zenon_H124 ]. % 11.33/11.51 apply (zenon_L98_); trivial. % 11.33/11.51 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H9d ]. % 11.33/11.51 apply (zenon_L416_); trivial. % 11.33/11.51 exact (zenon_H9e zenon_H9d). % 11.33/11.51 (* end of lemma zenon_L501_ *) % 11.33/11.51 assert (zenon_L502_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e0)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e2))) -> (~((e0) = (e3))) -> ((op (e3) (e0)) = (e3)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e2))) -> False). % 11.33/11.51 do 0 intro. intros zenon_Hb0 zenon_H15d zenon_H120 zenon_Hf0 zenon_H9e zenon_H101 zenon_Hd0 zenon_H27 zenon_H34 zenon_H15e zenon_H122 zenon_H5a zenon_Had zenon_Hb1. % 11.33/11.51 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H9a | zenon_intro zenon_Hb2 ]. % 11.33/11.51 apply (zenon_L500_); trivial. % 11.33/11.51 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Hb3 ]. % 11.33/11.51 apply (zenon_L501_); trivial. % 11.33/11.51 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_Hae | zenon_intro zenon_Hb4 ]. % 11.33/11.51 apply (zenon_L46_); trivial. % 11.33/11.51 exact (zenon_Hb1 zenon_Hb4). % 11.33/11.51 (* end of lemma zenon_L502_ *) % 11.33/11.51 assert (zenon_L503_ : (~((op (e3) (e3)) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e3) (e0)) = (e3)) -> (~((e0) = (e3))) -> (~((e0) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e0))) -> False). % 11.33/11.51 do 0 intro. intros zenon_Hb1 zenon_Had zenon_H5a zenon_H122 zenon_H15e zenon_H34 zenon_H27 zenon_Hf0 zenon_H15d zenon_Hb0 zenon_Hd0 zenon_H101 zenon_H9e. % 11.33/11.51 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H123 ]. % 11.33/11.51 apply (zenon_L201_); trivial. % 11.33/11.51 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H120 | zenon_intro zenon_H124 ]. % 11.33/11.51 apply (zenon_L502_); trivial. % 11.33/11.51 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H9d ]. % 11.33/11.51 apply (zenon_L416_); trivial. % 11.33/11.51 exact (zenon_H9e zenon_H9d). % 11.33/11.51 (* end of lemma zenon_L503_ *) % 11.33/11.51 assert (zenon_L504_ : ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e0) = (e1))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> False). % 11.33/11.51 do 0 intro. intros zenon_H138 zenon_Hf6 zenon_H234 zenon_Hb8 zenon_H20 zenon_H216 zenon_H88 zenon_H242 zenon_H226 zenon_Hc0 zenon_Hc4 zenon_H49 zenon_H27 zenon_H65 zenon_H41 zenon_H15e zenon_H222 zenon_Had zenon_H5a zenon_Hb0 zenon_H8d zenon_H34 zenon_H3c zenon_H212 zenon_H95 zenon_H9e zenon_Hb9 zenon_Hf0 zenon_H15d zenon_He5 zenon_H105 zenon_H2b zenon_H122 zenon_H101 zenon_H18f. % 11.33/11.51 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hec ]. % 11.33/11.51 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H25 | zenon_intro zenon_H190 ]. % 11.33/11.51 exact (zenon_H234 zenon_H25). % 11.33/11.51 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H1e | zenon_intro zenon_H191 ]. % 11.33/11.51 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ]. % 11.33/11.51 exact (zenon_H2b zenon_H26). % 11.33/11.51 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ]. % 11.33/11.51 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H1f | zenon_intro zenon_H107 ]. % 11.33/11.51 apply (zenon_L2_); trivial. % 11.33/11.51 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H56 | zenon_intro zenon_H108 ]. % 11.33/11.51 apply (zenon_L304_); trivial. % 11.33/11.51 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hc5 | zenon_intro zenon_He6 ]. % 11.33/11.51 apply (zenon_L498_); trivial. % 11.33/11.51 apply (zenon_L499_); trivial. % 11.33/11.51 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ]. % 11.33/11.51 apply (zenon_L50_); trivial. % 11.33/11.51 apply (zenon_L302_); trivial. % 11.33/11.51 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H72 ]. % 11.33/11.51 apply (zenon_L503_); trivial. % 11.33/11.51 apply (zenon_L496_); trivial. % 11.33/11.51 apply (zenon_L269_); trivial. % 11.33/11.51 (* end of lemma zenon_L504_ *) % 11.33/11.51 assert (zenon_L505_ : (~((e1) = (e2))) -> ((op (e2) (e2)) = (e2)) -> ((op (e2) (e2)) = (e1)) -> False). % 11.33/11.51 do 0 intro. intros zenon_H30 zenon_H5a zenon_H11f. % 11.33/11.51 cut (((op (e2) (e2)) = (e2)) = ((e1) = (e2))). % 11.33/11.51 intro zenon_D_pnotp. % 11.33/11.51 apply zenon_H30. % 11.33/11.51 rewrite <- zenon_D_pnotp. % 11.33/11.51 exact zenon_H5a. % 11.33/11.51 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H29]. % 11.33/11.51 cut (((op (e2) (e2)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H11c]. % 11.33/11.51 congruence. % 11.33/11.51 exact (zenon_H11c zenon_H11f). % 11.33/11.51 apply zenon_H29. apply refl_equal. % 11.33/11.51 (* end of lemma zenon_L505_ *) % 11.33/11.51 assert (zenon_L506_ : (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e3) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e3)) -> False). % 11.33/11.51 do 0 intro. intros zenon_H245 zenon_H57 zenon_H10e zenon_H1d9 zenon_H125 zenon_H5c zenon_H5a zenon_H13f zenon_H3b. % 11.33/11.51 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_He0 | zenon_intro zenon_H246 ]. % 11.33/11.51 apply (zenon_L88_); trivial. % 11.33/11.51 apply (zenon_or_s _ _ zenon_H246); [ zenon_intro zenon_H88 | zenon_intro zenon_H247 ]. % 11.33/11.51 apply (zenon_L393_); trivial. % 11.33/11.51 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_H5b | zenon_intro zenon_H89 ]. % 11.33/11.51 apply (zenon_L21_); trivial. % 11.33/11.51 apply (zenon_L119_); trivial. % 11.33/11.51 (* end of lemma zenon_L506_ *) % 11.33/11.51 assert (zenon_L507_ : (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e1)) -> ((op (e3) (e3)) = (e1)) -> False). % 11.33/11.51 do 0 intro. intros zenon_H13a zenon_H47 zenon_He7. % 11.33/11.51 cut (((op (e0) (e3)) = (e1)) = ((op (e0) (e3)) = (op (e3) (e3)))). % 11.33/11.51 intro zenon_D_pnotp. % 11.33/11.51 apply zenon_H13a. % 11.33/11.51 rewrite <- zenon_D_pnotp. % 11.33/11.51 exact zenon_H47. % 11.33/11.51 cut (((e1) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_He8]. % 11.33/11.51 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H64]. % 11.33/11.51 congruence. % 11.33/11.51 apply zenon_H64. apply refl_equal. % 11.33/11.51 apply zenon_He8. apply sym_equal. exact zenon_He7. % 11.33/11.51 (* end of lemma zenon_L507_ *) % 11.33/11.51 assert (zenon_L508_ : (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e3)) -> False). % 11.33/11.51 do 0 intro. intros zenon_Hf0 zenon_H9e zenon_H47 zenon_H13a zenon_Hb1 zenon_H15d zenon_H15e. % 11.33/11.51 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf1 ]. % 11.33/11.51 exact (zenon_H9e zenon_H9d). % 11.33/11.51 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_He7 | zenon_intro zenon_Hf2 ]. % 11.33/11.51 apply (zenon_L507_); trivial. % 11.33/11.51 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_Hb4 | zenon_intro zenon_Hed ]. % 11.33/11.51 exact (zenon_Hb1 zenon_Hb4). % 11.33/11.51 apply (zenon_L141_); trivial. % 11.33/11.51 (* end of lemma zenon_L508_ *) % 11.33/11.51 assert (zenon_L509_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((e0) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((e0) = (e1))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e3)) -> False). % 11.33/11.51 do 0 intro. intros zenon_H4c zenon_H22e zenon_H18f zenon_H101 zenon_H122 zenon_H105 zenon_He5 zenon_Hb9 zenon_H95 zenon_H212 zenon_H8d zenon_H65 zenon_H27 zenon_Hc4 zenon_Hc0 zenon_H226 zenon_H242 zenon_H216 zenon_Hb8 zenon_H234 zenon_Hf6 zenon_H138 zenon_H245 zenon_H57 zenon_H10e zenon_H125 zenon_H5c zenon_H13f zenon_H20 zenon_H41 zenon_H3c zenon_H1e zenon_H34 zenon_H1e2 zenon_H44 zenon_H30 zenon_Hb0 zenon_H222 zenon_H5a zenon_Had zenon_H2b zenon_H49 zenon_Hf0 zenon_H9e zenon_H13a zenon_Hb1 zenon_H15d zenon_H15e. % 11.33/11.51 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.33/11.51 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.33/11.51 exact (zenon_H2b zenon_H26). % 11.33/11.51 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.33/11.51 apply (zenon_L493_); trivial. % 11.33/11.51 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.33/11.51 apply (zenon_L23_); trivial. % 11.33/11.51 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.33/11.51 apply (zenon_L58_); trivial. % 11.33/11.51 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.33/11.51 apply (zenon_L8_); trivial. % 11.33/11.51 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.33/11.51 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H2e | zenon_intro zenon_H22f ]. % 11.33/11.51 apply (zenon_L495_); trivial. % 11.33/11.51 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H88 | zenon_intro zenon_H230 ]. % 11.33/11.51 apply (zenon_L504_); trivial. % 11.33/11.51 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H11f | zenon_intro zenon_H1d9 ]. % 11.33/11.51 apply (zenon_L505_); trivial. % 11.33/11.51 apply (zenon_L506_); trivial. % 11.33/11.51 apply (zenon_L11_); trivial. % 11.33/11.51 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.33/11.51 apply (zenon_L2_); trivial. % 11.33/11.51 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.33/11.51 apply (zenon_L495_); trivial. % 11.33/11.51 apply (zenon_L508_); trivial. % 11.33/11.51 (* end of lemma zenon_L509_ *) % 11.33/11.51 assert (zenon_L510_ : ((op (e1) (e1)) = (e1)) -> ((op (e1) (e1)) = (e3)) -> (~((e1) = (e3))) -> False). % 11.33/11.51 do 0 intro. intros zenon_H56 zenon_H78 zenon_H3c. % 11.33/11.51 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H35 | zenon_intro zenon_H36 ]. % 11.33/11.51 cut (((e3) = (e3)) = ((e1) = (e3))). % 11.33/11.51 intro zenon_D_pnotp. % 11.33/11.51 apply zenon_H3c. % 11.33/11.51 rewrite <- zenon_D_pnotp. % 11.33/11.51 exact zenon_H35. % 11.33/11.51 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H36]. % 11.33/11.51 cut (((e3) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H3d]. % 11.33/11.51 congruence. % 11.33/11.51 cut (((op (e1) (e1)) = (e1)) = ((e3) = (e1))). % 11.33/11.51 intro zenon_D_pnotp. % 11.33/11.51 apply zenon_H3d. % 11.33/11.51 rewrite <- zenon_D_pnotp. % 11.33/11.51 exact zenon_H56. % 11.33/11.51 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H22]. % 11.33/11.51 cut (((op (e1) (e1)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H79]. % 11.33/11.51 congruence. % 11.33/11.51 exact (zenon_H79 zenon_H78). % 11.33/11.51 apply zenon_H22. apply refl_equal. % 11.33/11.51 apply zenon_H36. apply refl_equal. % 11.33/11.51 apply zenon_H36. apply refl_equal. % 11.33/11.51 (* end of lemma zenon_L510_ *) % 11.33/11.51 assert (zenon_L511_ : (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e0) (e3)) = (e0)) -> (~((e2) = (e3))) -> ((op (e1) (e3)) = (e3)) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> False). % 11.33/11.51 do 0 intro. intros zenon_H197 zenon_H27 zenon_H72 zenon_H41 zenon_H8b zenon_H5a zenon_H192 zenon_Hb1. % 11.33/11.51 apply (zenon_or_s _ _ zenon_H197); [ zenon_intro zenon_H3f | zenon_intro zenon_H198 ]. % 11.33/11.51 apply (zenon_L180_); trivial. % 11.33/11.51 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H62 | zenon_intro zenon_H199 ]. % 11.33/11.51 apply (zenon_L465_); trivial. % 11.33/11.51 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H18a | zenon_intro zenon_Hb4 ]. % 11.33/11.51 apply (zenon_L186_); trivial. % 11.33/11.51 exact (zenon_Hb1 zenon_Hb4). % 11.33/11.51 (* end of lemma zenon_L511_ *) % 11.33/11.51 assert (zenon_L512_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e2) (e2)) = (e2)) -> (~((e2) = (e3))) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e3))) -> ((op (e1) (e3)) = (e3)) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e3) (e3)) = (e0))) -> False). % 11.33/11.51 do 0 intro. intros zenon_Hb9 zenon_Hb1 zenon_H192 zenon_H5a zenon_H41 zenon_H27 zenon_H197 zenon_H34 zenon_H8b zenon_H6e zenon_H95 zenon_H9e. % 11.33/11.51 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H72 | zenon_intro zenon_Hbe ]. % 11.33/11.51 apply (zenon_L511_); trivial. % 11.33/11.51 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H7a | zenon_intro zenon_Hbf ]. % 11.33/11.51 apply (zenon_L36_); trivial. % 11.33/11.51 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H96 | zenon_intro zenon_H9d ]. % 11.33/11.51 apply (zenon_L40_); trivial. % 11.33/11.51 exact (zenon_H9e zenon_H9d). % 11.33/11.51 (* end of lemma zenon_L512_ *) % 11.33/11.51 assert (zenon_L513_ : (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e0)) -> ((op (e3) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e3)) -> False). % 11.33/11.51 do 0 intro. intros zenon_H245 zenon_H228 zenon_H7a zenon_H1d9 zenon_H125 zenon_H5c zenon_H5a zenon_H13f zenon_H3b. % 11.33/11.51 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_He0 | zenon_intro zenon_H246 ]. % 11.33/11.51 apply (zenon_L364_); trivial. % 11.33/11.51 apply (zenon_or_s _ _ zenon_H246); [ zenon_intro zenon_H88 | zenon_intro zenon_H247 ]. % 11.33/11.51 apply (zenon_L393_); trivial. % 11.33/11.51 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_H5b | zenon_intro zenon_H89 ]. % 11.33/11.51 apply (zenon_L21_); trivial. % 11.33/11.51 apply (zenon_L119_); trivial. % 11.33/11.51 (* end of lemma zenon_L513_ *) % 11.33/11.51 assert (zenon_L514_ : ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((e0) = (e3))) -> ((op (e3) (e0)) = (e3)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e2))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> False). % 11.33/11.51 do 0 intro. intros zenon_H138 zenon_Hf6 zenon_H34 zenon_H15e zenon_Hb0 zenon_H5a zenon_Had zenon_H27 zenon_H101 zenon_Hd0 zenon_H122 zenon_H9e zenon_H15d zenon_Hf0. % 11.33/11.51 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hec ]. % 11.33/11.51 apply (zenon_L503_); trivial. % 11.33/11.51 apply (zenon_L269_); trivial. % 11.33/11.51 (* end of lemma zenon_L514_ *) % 11.33/11.51 assert (zenon_L515_ : ((((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))\/((((op (e1) (e1)) = (e1))/\(((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0)))/\(((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1)))/\(((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2)))/\((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3)))))))\/((((op (e2) (e2)) = (e2))/\(((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0)))/\(((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3)))))))\/(((op (e3) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3)))))))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((e2) = (e3))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e3)) -> False). % 11.33/11.51 do 0 intro. intros zenon_H1b0 zenon_Hfa zenon_H1ca zenon_H23c zenon_H154 zenon_Hcb zenon_H167 zenon_H141 zenon_H61 zenon_H117 zenon_Hb7 zenon_H1f0 zenon_H10b zenon_H157 zenon_H16e zenon_H11b zenon_H1f3 zenon_H16a zenon_H223 zenon_H234 zenon_H12d zenon_H197 zenon_H192 zenon_H228 zenon_H3c zenon_H34 zenon_H22e zenon_H10e zenon_H125 zenon_H5c zenon_H13f zenon_H245 zenon_H18f zenon_H101 zenon_H122 zenon_H105 zenon_He5 zenon_Hf0 zenon_Hb9 zenon_H9e zenon_H95 zenon_H212 zenon_H8d zenon_H27 zenon_Hc4 zenon_Hc0 zenon_H226 zenon_H242 zenon_H216 zenon_H20 zenon_Hb8 zenon_Hf6 zenon_H30 zenon_H44 zenon_H1e2 zenon_H49 zenon_H65 zenon_H41 zenon_H222 zenon_Had zenon_Hb0 zenon_H13a zenon_H4c zenon_H15d zenon_H15e. % 11.33/11.51 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H51 | zenon_intro zenon_H1b1 ]. % 11.33/11.51 apply (zenon_L458_); trivial. % 11.33/11.51 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H53 | zenon_intro zenon_H1b2 ]. % 11.33/11.51 apply (zenon_L492_); trivial. % 11.33/11.51 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H132 | zenon_intro zenon_H15f ]. % 11.33/11.51 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H5a. zenon_intro zenon_H133. % 11.33/11.51 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H135. zenon_intro zenon_H134. % 11.33/11.51 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H137. zenon_intro zenon_H136. % 11.33/11.51 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_H139. zenon_intro zenon_H138. % 11.33/11.51 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H2b | zenon_intro zenon_Hd0 ]. % 11.33/11.51 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hec ]. % 11.33/11.51 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H25 | zenon_intro zenon_H190 ]. % 11.33/11.51 exact (zenon_H234 zenon_H25). % 11.33/11.51 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H1e | zenon_intro zenon_H191 ]. % 11.33/11.51 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H25 | zenon_intro zenon_H12e ]. % 11.33/11.51 exact (zenon_H234 zenon_H25). % 11.33/11.51 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H57 | zenon_intro zenon_H12f ]. % 11.33/11.51 apply (zenon_L509_); trivial. % 11.33/11.51 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H6e | zenon_intro zenon_Hc3 ]. % 11.33/11.51 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.33/11.51 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.33/11.51 exact (zenon_H2b zenon_H26). % 11.33/11.51 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.33/11.51 apply (zenon_L493_); trivial. % 11.33/11.51 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.33/11.51 apply (zenon_L23_); trivial. % 11.33/11.51 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ]. % 11.33/11.51 exact (zenon_H2b zenon_H26). % 11.33/11.51 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ]. % 11.33/11.51 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.33/11.51 apply (zenon_L58_); trivial. % 11.33/11.51 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.33/11.51 apply (zenon_L8_); trivial. % 11.33/11.51 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.33/11.51 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H1f | zenon_intro zenon_H107 ]. % 11.33/11.51 apply (zenon_L2_); trivial. % 11.33/11.51 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H56 | zenon_intro zenon_H108 ]. % 11.33/11.51 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H75 | zenon_intro zenon_H8e ]. % 11.33/11.51 apply (zenon_L299_); trivial. % 11.33/11.51 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H78 | zenon_intro zenon_H8f ]. % 11.33/11.51 apply (zenon_L510_); trivial. % 11.33/11.51 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H8b ]. % 11.33/11.51 apply (zenon_L119_); trivial. % 11.33/11.51 apply (zenon_L512_); trivial. % 11.33/11.51 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hc5 | zenon_intro zenon_He6 ]. % 11.33/11.51 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H2e | zenon_intro zenon_H22f ]. % 11.33/11.51 apply (zenon_L9_); trivial. % 11.33/11.51 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H88 | zenon_intro zenon_H230 ]. % 11.33/11.51 apply (zenon_L498_); trivial. % 11.33/11.51 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H11f | zenon_intro zenon_H1d9 ]. % 11.33/11.51 apply (zenon_L505_); trivial. % 11.33/11.51 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H72 | zenon_intro zenon_Hbe ]. % 11.33/11.51 apply (zenon_L180_); trivial. % 11.33/11.51 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H7a | zenon_intro zenon_Hbf ]. % 11.33/11.51 apply (zenon_L513_); trivial. % 11.33/11.51 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H96 | zenon_intro zenon_H9d ]. % 11.33/11.51 apply (zenon_L40_); trivial. % 11.33/11.51 exact (zenon_H9e zenon_H9d). % 11.33/11.51 apply (zenon_L499_); trivial. % 11.33/11.51 apply (zenon_L11_); trivial. % 11.33/11.51 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ]. % 11.33/11.51 apply (zenon_L50_); trivial. % 11.33/11.51 apply (zenon_L302_); trivial. % 11.33/11.51 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.33/11.51 apply (zenon_L2_); trivial. % 11.33/11.51 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.33/11.51 apply (zenon_L495_); trivial. % 11.33/11.51 apply (zenon_L508_); trivial. % 11.33/11.51 apply (zenon_L201_); trivial. % 11.33/11.51 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H72 ]. % 11.33/11.51 apply (zenon_L503_); trivial. % 11.33/11.51 apply (zenon_L496_); trivial. % 11.33/11.51 apply (zenon_L269_); trivial. % 11.33/11.51 apply (zenon_L514_); trivial. % 11.33/11.51 apply (zenon_L142_); trivial. % 11.33/11.51 (* end of lemma zenon_L515_ *) % 11.33/11.51 assert (zenon_L516_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e1)) = (e3))) -> (~((e0) = (e3))) -> ((op (e1) (e2)) = (e0)) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False). % 11.33/11.51 do 0 intro. intros zenon_H8d zenon_H3c zenon_H6d zenon_H79 zenon_H34 zenon_He0 zenon_Hed zenon_H141. % 11.33/11.51 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H75 | zenon_intro zenon_H8e ]. % 11.33/11.51 apply (zenon_L123_); trivial. % 11.33/11.51 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H78 | zenon_intro zenon_H8f ]. % 11.33/11.51 exact (zenon_H79 zenon_H78). % 11.33/11.51 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H8b ]. % 11.33/11.51 apply (zenon_L69_); trivial. % 11.33/11.51 apply (zenon_L120_); trivial. % 11.33/11.51 (* end of lemma zenon_L516_ *) % 11.33/11.51 assert (zenon_L517_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e0) = (e1))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((e0) = (e3))) -> (~((op (e1) (e1)) = (e3))) -> ((op (e1) (e0)) = (e1)) -> (~((e1) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False). % 11.33/11.51 do 0 intro. intros zenon_H113 zenon_H20 zenon_H207 zenon_H141 zenon_Hed zenon_H34 zenon_H79 zenon_H6d zenon_H3c zenon_H8d zenon_H61 zenon_H72. % 11.33/11.51 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ]. % 11.33/11.51 apply (zenon_L423_); trivial. % 11.33/11.51 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ]. % 11.33/11.51 exact (zenon_H207 zenon_H10c). % 11.33/11.51 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ]. % 11.33/11.51 apply (zenon_L516_); trivial. % 11.33/11.51 apply (zenon_L335_); trivial. % 11.33/11.51 (* end of lemma zenon_L517_ *) % 11.33/11.51 assert (zenon_L518_ : (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e3)) -> (~((op (e1) (e1)) = (e0))) -> ((op (e2) (e0)) = (e3)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e0)) -> False). % 11.33/11.51 do 0 intro. intros zenon_H203 zenon_H34 zenon_H39 zenon_H207 zenon_H152 zenon_Hc0 zenon_Had zenon_H65 zenon_Hd0 zenon_H19c zenon_H192 zenon_H18a zenon_H5c zenon_H27 zenon_H19f zenon_H16a zenon_Hc3. % 11.33/11.51 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H1e | zenon_intro zenon_H204 ]. % 11.33/11.51 apply (zenon_L8_); trivial. % 11.33/11.51 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H10c | zenon_intro zenon_H205 ]. % 11.33/11.51 exact (zenon_H207 zenon_H10c). % 11.33/11.51 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_Hcc | zenon_intro zenon_H120 ]. % 11.33/11.51 apply (zenon_L428_); trivial. % 11.33/11.51 apply (zenon_L258_); trivial. % 11.33/11.51 (* end of lemma zenon_L518_ *) % 11.33/11.51 assert (zenon_L519_ : ((op (e1) (e3)) = (e1)) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> False). % 11.33/11.51 do 0 intro. intros zenon_H90 zenon_H6d zenon_H23c. % 11.33/11.51 elim (classic ((op (e1) (e3)) = (op (e1) (e3)))); [ zenon_intro zenon_H150 | zenon_intro zenon_H11a ]. % 11.33/11.51 cut (((op (e1) (e3)) = (op (e1) (e3))) = ((op (e1) (e0)) = (op (e1) (e3)))). % 11.33/11.51 intro zenon_D_pnotp. % 11.33/11.51 apply zenon_H23c. % 11.33/11.51 rewrite <- zenon_D_pnotp. % 11.33/11.51 exact zenon_H150. % 11.33/11.51 cut (((op (e1) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H11a]. % 11.33/11.51 cut (((op (e1) (e3)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H248]. % 11.33/11.51 congruence. % 11.33/11.51 cut (((op (e1) (e3)) = (e1)) = ((op (e1) (e3)) = (op (e1) (e0)))). % 11.33/11.51 intro zenon_D_pnotp. % 11.33/11.51 apply zenon_H248. % 11.33/11.51 rewrite <- zenon_D_pnotp. % 11.33/11.51 exact zenon_H90. % 11.33/11.51 cut (((e1) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H12c]. % 11.33/11.51 cut (((op (e1) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H11a]. % 11.33/11.51 congruence. % 11.33/11.51 apply zenon_H11a. apply refl_equal. % 11.33/11.51 apply zenon_H12c. apply sym_equal. exact zenon_H6d. % 11.33/11.51 apply zenon_H11a. apply refl_equal. % 11.33/11.51 apply zenon_H11a. apply refl_equal. % 11.33/11.51 (* end of lemma zenon_L519_ *) % 11.33/11.51 assert (zenon_L520_ : (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e3) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False). % 11.33/11.51 do 0 intro. intros zenon_H154 zenon_H72 zenon_H61 zenon_He7 zenon_H117 zenon_H18a zenon_Hed zenon_H141. % 11.33/11.51 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H7a | zenon_intro zenon_H155 ]. % 11.33/11.51 apply (zenon_L335_); trivial. % 11.33/11.51 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H90 | zenon_intro zenon_H156 ]. % 11.33/11.51 apply (zenon_L248_); trivial. % 11.33/11.51 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H62 | zenon_intro zenon_H8b ]. % 11.33/11.51 apply (zenon_L332_); trivial. % 11.33/11.51 apply (zenon_L120_); trivial. % 11.33/11.51 (* end of lemma zenon_L520_ *) % 11.33/11.51 assert (zenon_L521_ : (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e0)) = (e1)) -> (~((e1) = (e2))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False). % 11.33/11.51 do 0 intro. intros zenon_H1d5 zenon_H71 zenon_H1f zenon_H23c zenon_H6d zenon_H30 zenon_H154 zenon_H72 zenon_H61 zenon_H117 zenon_H18a zenon_Hed zenon_H141. % 11.33/11.51 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H47 | zenon_intro zenon_H1d6 ]. % 11.33/11.51 apply (zenon_L199_); trivial. % 11.33/11.51 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H90 | zenon_intro zenon_H1d7 ]. % 11.33/11.51 apply (zenon_L519_); trivial. % 11.33/11.51 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H118 | zenon_intro zenon_He7 ]. % 11.33/11.51 apply (zenon_L245_); trivial. % 11.33/11.51 apply (zenon_L520_); trivial. % 11.33/11.51 (* end of lemma zenon_L521_ *) % 11.33/11.51 assert (zenon_L522_ : ((op (e0) (e3)) = (e1)) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> False). % 11.33/11.51 do 0 intro. intros zenon_H47 zenon_H2e zenon_H210. % 11.33/11.51 elim (classic ((op (e0) (e3)) = (op (e0) (e3)))); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H64 ]. % 11.33/11.51 cut (((op (e0) (e3)) = (op (e0) (e3))) = ((op (e0) (e2)) = (op (e0) (e3)))). % 11.33/11.51 intro zenon_D_pnotp. % 11.33/11.51 apply zenon_H210. % 11.33/11.51 rewrite <- zenon_D_pnotp. % 11.33/11.51 exact zenon_H1a5. % 11.33/11.51 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H64]. % 11.33/11.51 cut (((op (e0) (e3)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H249]. % 11.33/11.51 congruence. % 11.33/11.51 cut (((op (e0) (e3)) = (e1)) = ((op (e0) (e3)) = (op (e0) (e2)))). % 11.33/11.51 intro zenon_D_pnotp. % 11.33/11.51 apply zenon_H249. % 11.33/11.51 rewrite <- zenon_D_pnotp. % 11.33/11.51 exact zenon_H47. % 11.33/11.51 cut (((e1) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H24a]. % 11.33/11.51 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H64]. % 11.33/11.51 congruence. % 11.33/11.51 apply zenon_H64. apply refl_equal. % 11.33/11.51 apply zenon_H24a. apply sym_equal. exact zenon_H2e. % 11.33/11.51 apply zenon_H64. apply refl_equal. % 11.33/11.51 apply zenon_H64. apply refl_equal. % 11.33/11.51 (* end of lemma zenon_L522_ *) % 11.33/11.51 assert (zenon_L523_ : (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e0)) = (e1)) -> ((op (e2) (e3)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e1)) -> False). % 11.33/11.51 do 0 intro. intros zenon_H1d5 zenon_H210 zenon_H2e zenon_H23c zenon_H6d zenon_H18a zenon_H30 zenon_He5 zenon_He6. % 11.33/11.51 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H47 | zenon_intro zenon_H1d6 ]. % 11.33/11.51 apply (zenon_L522_); trivial. % 11.33/11.51 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H90 | zenon_intro zenon_H1d7 ]. % 11.33/11.51 apply (zenon_L519_); trivial. % 11.33/11.51 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H118 | zenon_intro zenon_He7 ]. % 11.33/11.51 apply (zenon_L245_); trivial. % 11.33/11.51 apply (zenon_L72_); trivial. % 11.33/11.51 (* end of lemma zenon_L523_ *) % 11.33/11.51 assert (zenon_L524_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> ((op (e2) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e0)) = (e1)) -> (~((e1) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e1))) -> False). % 11.33/11.51 do 0 intro. intros zenon_H4c zenon_H187 zenon_H71 zenon_H141 zenon_Hed zenon_H18a zenon_H117 zenon_H61 zenon_H154 zenon_H101 zenon_H1d5 zenon_H210 zenon_H23c zenon_H6d zenon_H30 zenon_He5 zenon_H212 zenon_H1f0 zenon_H72 zenon_H20. % 11.33/11.51 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.33/11.51 apply (zenon_L179_); trivial. % 11.33/11.51 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.33/11.51 apply (zenon_L521_); trivial. % 11.33/11.51 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.33/11.51 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H99 | zenon_intro zenon_H1f1 ]. % 11.33/11.51 apply (zenon_L331_); trivial. % 11.33/11.51 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_He6 | zenon_intro zenon_H1f2 ]. % 11.33/11.51 apply (zenon_L523_); trivial. % 11.33/11.51 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H1d9 | zenon_intro zenon_He7 ]. % 11.33/11.51 apply (zenon_L476_); trivial. % 11.33/11.51 apply (zenon_L520_); trivial. % 11.33/11.51 apply (zenon_L182_); trivial. % 11.33/11.51 (* end of lemma zenon_L524_ *) % 11.33/11.51 assert (zenon_L525_ : (~((e1) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> ((((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))\/((((op (e1) (e1)) = (e1))/\(((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0)))/\(((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1)))/\(((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2)))/\((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3)))))))\/((((op (e2) (e2)) = (e2))/\(((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0)))/\(((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3)))))))\/(((op (e3) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3)))))))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((e0) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((e2) = (e3))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> ((op (e2) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e0)) = (e1)) -> (~((e1) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> False). % 11.33/11.51 do 0 intro. intros zenon_H3c zenon_H8d zenon_H79 zenon_H13f zenon_H161 zenon_H38 zenon_H19f zenon_H19c zenon_H207 zenon_H203 zenon_H1b0 zenon_Hfa zenon_H1ca zenon_Hcb zenon_H167 zenon_Hb7 zenon_H10b zenon_H157 zenon_H16e zenon_H11b zenon_H1f3 zenon_H16a zenon_H223 zenon_H234 zenon_H12d zenon_H197 zenon_H192 zenon_H228 zenon_H34 zenon_H22e zenon_H10e zenon_H125 zenon_H5c zenon_H245 zenon_H18f zenon_H122 zenon_H105 zenon_Hf0 zenon_Hb9 zenon_H9e zenon_H95 zenon_H27 zenon_Hc4 zenon_Hc0 zenon_H226 zenon_H242 zenon_H216 zenon_Hb8 zenon_Hf6 zenon_H44 zenon_H1e2 zenon_H49 zenon_H65 zenon_H41 zenon_H222 zenon_Had zenon_Hb0 zenon_H13a zenon_H15d zenon_H4c zenon_H187 zenon_H71 zenon_H141 zenon_Hed zenon_H18a zenon_H117 zenon_H61 zenon_H154 zenon_H101 zenon_H1d5 zenon_H210 zenon_H23c zenon_H6d zenon_H30 zenon_He5 zenon_H212 zenon_H1f0 zenon_H20. % 11.33/11.51 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H25 | zenon_intro zenon_H190 ]. % 11.33/11.51 exact (zenon_H234 zenon_H25). % 11.33/11.51 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H1e | zenon_intro zenon_H191 ]. % 11.33/11.51 apply (zenon_L126_); trivial. % 11.33/11.51 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H72 ]. % 11.33/11.51 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H25 | zenon_intro zenon_H12e ]. % 11.33/11.51 exact (zenon_H234 zenon_H25). % 11.33/11.51 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H57 | zenon_intro zenon_H12f ]. % 11.33/11.51 apply (zenon_L423_); trivial. % 11.33/11.51 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H6e | zenon_intro zenon_Hc3 ]. % 11.33/11.51 apply (zenon_L207_); trivial. % 11.33/11.51 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.33/11.51 apply (zenon_L179_); trivial. % 11.33/11.51 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.33/11.51 apply (zenon_L471_); trivial. % 11.33/11.51 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.33/11.51 apply (zenon_L61_); trivial. % 11.33/11.51 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.33/11.51 exact (zenon_H38 zenon_H33). % 11.33/11.51 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.33/11.51 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ]. % 11.33/11.51 exact (zenon_H38 zenon_H33). % 11.33/11.51 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ]. % 11.33/11.51 apply (zenon_L123_); trivial. % 11.33/11.51 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ]. % 11.33/11.51 apply (zenon_L518_); trivial. % 11.33/11.51 apply (zenon_L515_); trivial. % 11.33/11.51 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.33/11.51 apply (zenon_L124_); trivial. % 11.33/11.51 apply (zenon_L14_); trivial. % 11.33/11.51 apply (zenon_L524_); trivial. % 11.33/11.51 (* end of lemma zenon_L525_ *) % 11.33/11.51 assert (zenon_L526_ : ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((e0) = (e1))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e1)) = (e0))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> False). % 11.33/11.51 do 0 intro. intros zenon_H1b6 zenon_H23c zenon_H20 zenon_H6d zenon_H207 zenon_H8d zenon_Hed zenon_H141 zenon_H34 zenon_H3c zenon_H61 zenon_H72 zenon_H113. % 11.33/11.51 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H79 | zenon_intro zenon_H90 ]. % 11.33/11.51 apply (zenon_L517_); trivial. % 11.33/11.51 apply (zenon_L519_); trivial. % 11.33/11.51 (* end of lemma zenon_L526_ *) % 11.33/11.51 assert (zenon_L527_ : (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e2)) -> ((op (e2) (e3)) = (e0)) -> ((op (e2) (e0)) = (e1)) -> False). % 11.33/11.51 do 0 intro. intros zenon_H19c zenon_Hcf zenon_H11c zenon_H65 zenon_H2f zenon_H96 zenon_H6f. % 11.33/11.51 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_Hce | zenon_intro zenon_H19d ]. % 11.33/11.51 exact (zenon_Hcf zenon_Hce). % 11.33/11.51 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H11f | zenon_intro zenon_H19e ]. % 11.33/11.51 exact (zenon_H11c zenon_H11f). % 11.33/11.51 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H5a | zenon_intro zenon_He1 ]. % 11.33/11.51 apply (zenon_L23_); trivial. % 11.33/11.51 apply (zenon_L482_); trivial. % 11.33/11.51 (* end of lemma zenon_L527_ *) % 11.33/11.51 assert (zenon_L528_ : (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e1) (e2)) = (e2)) -> ((op (e2) (e3)) = (e0)) -> ((op (e2) (e0)) = (e1)) -> False). % 11.33/11.51 do 0 intro. intros zenon_H19c zenon_Hcf zenon_H11c zenon_H5c zenon_H5b zenon_H96 zenon_H6f. % 11.33/11.51 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_Hce | zenon_intro zenon_H19d ]. % 11.33/11.51 exact (zenon_Hcf zenon_Hce). % 11.33/11.51 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H11f | zenon_intro zenon_H19e ]. % 11.33/11.51 exact (zenon_H11c zenon_H11f). % 11.33/11.51 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H5a | zenon_intro zenon_He1 ]. % 11.33/11.51 apply (zenon_L21_); trivial. % 11.33/11.51 apply (zenon_L482_); trivial. % 11.33/11.51 (* end of lemma zenon_L528_ *) % 11.33/11.51 assert (zenon_L529_ : (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e2) (e2)) = (e1))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e3)) = (e0)) -> ((op (e2) (e0)) = (e1)) -> False). % 11.33/11.51 do 0 intro. intros zenon_H19c zenon_Hcf zenon_H11c zenon_Hae zenon_Had zenon_H96 zenon_H6f. % 11.33/11.51 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_Hce | zenon_intro zenon_H19d ]. % 11.33/11.51 exact (zenon_Hcf zenon_Hce). % 11.33/11.51 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H11f | zenon_intro zenon_H19e ]. % 11.33/11.51 exact (zenon_H11c zenon_H11f). % 11.33/11.51 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H5a | zenon_intro zenon_He1 ]. % 11.33/11.51 apply (zenon_L46_); trivial. % 11.33/11.51 apply (zenon_L482_); trivial. % 11.33/11.51 (* end of lemma zenon_L529_ *) % 11.33/11.51 assert (zenon_L530_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e1))) -> ((op (e2) (e3)) = (e0)) -> (~((e0) = (e1))) -> False). % 11.33/11.51 do 0 intro. intros zenon_H11b zenon_Had zenon_Hcf zenon_H19c zenon_Hb5 zenon_Hc0 zenon_H5c zenon_H65 zenon_H19f zenon_H56 zenon_H157 zenon_H11c zenon_H96 zenon_H20. % 11.33/11.51 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H6f | zenon_intro zenon_H11d ]. % 11.33/11.51 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_H2f | zenon_intro zenon_H1a0 ]. % 11.33/11.51 apply (zenon_L527_); trivial. % 11.33/11.51 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5b | zenon_intro zenon_H1a1 ]. % 11.33/11.51 apply (zenon_L528_); trivial. % 11.33/11.51 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_H5a | zenon_intro zenon_Hae ]. % 11.33/11.51 apply (zenon_L50_); trivial. % 11.33/11.51 apply (zenon_L529_); trivial. % 11.33/11.51 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H11e ]. % 11.33/11.51 apply (zenon_L239_); trivial. % 11.33/11.51 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H11f | zenon_intro zenon_H118 ]. % 11.33/11.51 exact (zenon_H11c zenon_H11f). % 11.33/11.51 apply (zenon_L166_); trivial. % 11.33/11.51 (* end of lemma zenon_L530_ *) % 11.33/11.51 assert (zenon_L531_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e2))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e1))) -> (~((e0) = (e1))) -> False). % 11.33/11.51 do 0 intro. intros zenon_Hfa zenon_H27 zenon_H1e zenon_Hcb zenon_H11b zenon_Had zenon_Hcf zenon_H19c zenon_Hb5 zenon_Hc0 zenon_H5c zenon_H65 zenon_H19f zenon_H56 zenon_H157 zenon_H11c zenon_H20. % 11.33/11.51 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H6e | zenon_intro zenon_Hfc ]. % 11.33/11.51 apply (zenon_L48_); trivial. % 11.33/11.51 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hfd ]. % 11.33/11.51 apply (zenon_L55_); trivial. % 11.33/11.51 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hce | zenon_intro zenon_H96 ]. % 11.33/11.51 exact (zenon_Hcf zenon_Hce). % 11.33/11.51 apply (zenon_L530_); trivial. % 11.33/11.51 (* end of lemma zenon_L531_ *) % 11.33/11.51 assert (zenon_L532_ : ((op (e2) (e1)) = (e2)) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> False). % 11.33/11.51 do 0 intro. intros zenon_Hc7 zenon_Hb5 zenon_Hc4. % 11.33/11.51 elim (classic ((op (e2) (e1)) = (op (e2) (e1)))); [ zenon_intro zenon_H14b | zenon_intro zenon_H14c ]. % 11.33/11.51 cut (((op (e2) (e1)) = (op (e2) (e1))) = ((op (e2) (e0)) = (op (e2) (e1)))). % 11.33/11.51 intro zenon_D_pnotp. % 11.33/11.51 apply zenon_Hc4. % 11.33/11.51 rewrite <- zenon_D_pnotp. % 11.33/11.51 exact zenon_H14b. % 11.33/11.51 cut (((op (e2) (e1)) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H14c]. % 11.33/11.51 cut (((op (e2) (e1)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H24b]. % 11.33/11.51 congruence. % 11.33/11.51 cut (((op (e2) (e1)) = (e2)) = ((op (e2) (e1)) = (op (e2) (e0)))). % 11.33/11.51 intro zenon_D_pnotp. % 11.33/11.51 apply zenon_H24b. % 11.33/11.51 rewrite <- zenon_D_pnotp. % 11.33/11.51 exact zenon_Hc7. % 11.33/11.52 cut (((e2) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hc2]. % 11.33/11.52 cut (((op (e2) (e1)) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H14c]. % 11.33/11.52 congruence. % 11.33/11.52 apply zenon_H14c. apply refl_equal. % 11.33/11.52 apply zenon_Hc2. apply sym_equal. exact zenon_Hb5. % 11.33/11.52 apply zenon_H14c. apply refl_equal. % 11.33/11.52 apply zenon_H14c. apply refl_equal. % 11.33/11.52 (* end of lemma zenon_L532_ *) % 11.33/11.52 assert (zenon_L533_ : ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((e0) = (e2))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e2) (e2)) = (e0))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> False). % 11.33/11.52 do 0 intro. intros zenon_H1ff zenon_Hc4 zenon_H27 zenon_Hb5 zenon_Hcb zenon_H1e zenon_Hcf zenon_H11b zenon_H20 zenon_H56 zenon_H157 zenon_H19c zenon_H65 zenon_H5c zenon_Hc0 zenon_Had zenon_H19f zenon_Hfa. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H11c | zenon_intro zenon_Hc7 ]. % 11.33/11.52 apply (zenon_L531_); trivial. % 11.33/11.52 apply (zenon_L532_); trivial. % 11.33/11.52 (* end of lemma zenon_L533_ *) % 11.33/11.52 assert (zenon_L534_ : (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e1)) -> ((op (e3) (e2)) = (e1)) -> False). % 11.33/11.52 do 0 intro. intros zenon_Hf6 zenon_H99 zenon_H1d9. % 11.33/11.52 cut (((op (e3) (e0)) = (e1)) = ((op (e3) (e0)) = (op (e3) (e2)))). % 11.33/11.52 intro zenon_D_pnotp. % 11.33/11.52 apply zenon_Hf6. % 11.33/11.52 rewrite <- zenon_D_pnotp. % 11.33/11.52 exact zenon_H99. % 11.33/11.52 cut (((e1) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H1da]. % 11.33/11.52 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hf9]. % 11.33/11.52 congruence. % 11.33/11.52 apply zenon_Hf9. apply refl_equal. % 11.33/11.52 apply zenon_H1da. apply sym_equal. exact zenon_H1d9. % 11.33/11.52 (* end of lemma zenon_L534_ *) % 11.33/11.52 assert (zenon_L535_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e1)) -> False). % 11.33/11.52 do 0 intro. intros zenon_H22e zenon_H210 zenon_H47 zenon_H216 zenon_H56 zenon_H11c zenon_Hf6 zenon_H99. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H2e | zenon_intro zenon_H22f ]. % 11.33/11.52 apply (zenon_L522_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H88 | zenon_intro zenon_H230 ]. % 11.33/11.52 apply (zenon_L304_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H11f | zenon_intro zenon_H1d9 ]. % 11.33/11.52 exact (zenon_H11c zenon_H11f). % 11.33/11.52 apply (zenon_L534_); trivial. % 11.33/11.52 (* end of lemma zenon_L535_ *) % 11.33/11.52 assert (zenon_L536_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e2) (e0)) = (e2)) -> (~((e1) = (e2))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> False). % 11.33/11.52 do 0 intro. intros zenon_Hb7 zenon_H4d zenon_H1ca zenon_Hb5 zenon_H30 zenon_H22e zenon_H210 zenon_H47 zenon_H216 zenon_H56 zenon_H11c zenon_Hf6. % 11.33/11.52 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ]. % 11.33/11.52 exact (zenon_H4d zenon_H4f). % 11.33/11.52 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ]. % 11.33/11.52 apply (zenon_L459_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ]. % 11.33/11.52 apply (zenon_L108_); trivial. % 11.33/11.52 apply (zenon_L535_); trivial. % 11.33/11.52 (* end of lemma zenon_L536_ *) % 11.33/11.52 assert (zenon_L537_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((e0) = (e1))) -> ((op (e0) (e2)) = (e0)) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e2) (e0)) = (e2)) -> (~((e1) = (e2))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> False). % 11.33/11.52 do 0 intro. intros zenon_H4c zenon_H10b zenon_H20 zenon_Hd0 zenon_Hb7 zenon_H4d zenon_H1ca zenon_Hb5 zenon_H30 zenon_H22e zenon_H210 zenon_H216 zenon_H56 zenon_H11c zenon_Hf6. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.33/11.52 exact (zenon_H4d zenon_H4f). % 11.33/11.52 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.33/11.52 apply (zenon_L223_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.33/11.52 apply (zenon_L61_); trivial. % 11.33/11.52 apply (zenon_L536_); trivial. % 11.33/11.52 (* end of lemma zenon_L537_ *) % 11.33/11.52 assert (zenon_L538_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> ((op (e3) (e0)) = (e2)) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e1))) -> False). % 11.33/11.52 do 0 intro. intros zenon_H1f0 zenon_H30 zenon_H9a zenon_H56 zenon_H1f3 zenon_H2e zenon_H101 zenon_H1e5. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H99 | zenon_intro zenon_H1f1 ]. % 11.33/11.52 apply (zenon_L41_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_He6 | zenon_intro zenon_H1f2 ]. % 11.33/11.52 apply (zenon_L278_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H1d9 | zenon_intro zenon_He7 ]. % 11.33/11.52 apply (zenon_L476_); trivial. % 11.33/11.52 exact (zenon_H1e5 zenon_He7). % 11.33/11.52 (* end of lemma zenon_L538_ *) % 11.33/11.52 assert (zenon_L539_ : (~((op (e3) (op (e3) (e3))) = (op (e3) (e2)))) -> ((op (e3) (e3)) = (e2)) -> False). % 11.33/11.52 do 0 intro. intros zenon_H24c zenon_Hb4. % 11.33/11.52 cut (((op (e3) (e3)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_Hb1]. % 11.33/11.52 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H36]. % 11.33/11.52 congruence. % 11.33/11.52 apply zenon_H36. apply refl_equal. % 11.33/11.52 exact (zenon_Hb1 zenon_Hb4). % 11.33/11.52 (* end of lemma zenon_L539_ *) % 11.33/11.52 assert (zenon_L540_ : ((op (e3) (e2)) = (e0)) -> ((op (e3) (e3)) = (e2)) -> (~((e0) = (op (e3) (op (e3) (e3))))) -> False). % 11.33/11.52 do 0 intro. intros zenon_Hf7 zenon_Hb4 zenon_H1e6. % 11.33/11.52 elim (classic ((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [ zenon_intro zenon_Ha0 | zenon_intro zenon_Ha1 ]. % 11.33/11.52 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3)))) = ((e0) = (op (e3) (op (e3) (e3))))). % 11.33/11.52 intro zenon_D_pnotp. % 11.33/11.52 apply zenon_H1e6. % 11.33/11.52 rewrite <- zenon_D_pnotp. % 11.33/11.52 exact zenon_Ha0. % 11.33/11.52 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_Ha1]. % 11.33/11.52 cut (((op (e3) (op (e3) (e3))) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1e7]. % 11.33/11.52 congruence. % 11.33/11.52 cut (((op (e3) (e2)) = (e0)) = ((op (e3) (op (e3) (e3))) = (e0))). % 11.33/11.52 intro zenon_D_pnotp. % 11.33/11.52 apply zenon_H1e7. % 11.33/11.52 rewrite <- zenon_D_pnotp. % 11.33/11.52 exact zenon_Hf7. % 11.33/11.52 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d]. % 11.33/11.52 cut (((op (e3) (e2)) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H24d]. % 11.33/11.52 congruence. % 11.33/11.52 elim (classic ((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [ zenon_intro zenon_Ha0 | zenon_intro zenon_Ha1 ]. % 11.33/11.52 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3)))) = ((op (e3) (e2)) = (op (e3) (op (e3) (e3))))). % 11.33/11.52 intro zenon_D_pnotp. % 11.33/11.52 apply zenon_H24d. % 11.33/11.52 rewrite <- zenon_D_pnotp. % 11.33/11.52 exact zenon_Ha0. % 11.33/11.52 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_Ha1]. % 11.33/11.52 cut (((op (e3) (op (e3) (e3))) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H24c]. % 11.33/11.52 congruence. % 11.33/11.52 apply (zenon_L539_); trivial. % 11.33/11.52 apply zenon_Ha1. apply refl_equal. % 11.33/11.52 apply zenon_Ha1. apply refl_equal. % 11.33/11.52 apply zenon_H1d. apply refl_equal. % 11.33/11.52 apply zenon_Ha1. apply refl_equal. % 11.33/11.52 apply zenon_Ha1. apply refl_equal. % 11.33/11.52 (* end of lemma zenon_L540_ *) % 11.33/11.52 assert (zenon_L541_ : ((op (e3) (e2)) = (e0)) -> ((op (e3) (e0)) = (e1)) -> ((op (e3) (e3)) = (e2)) -> False). % 11.33/11.52 do 0 intro. intros zenon_Hf7 zenon_H99 zenon_Hb4. % 11.33/11.52 apply (zenon_notand_s _ _ ax7); [ zenon_intro zenon_H1e6 | zenon_intro zenon_H24e ]. % 11.33/11.52 apply (zenon_L540_); trivial. % 11.33/11.52 apply (zenon_notand_s _ _ zenon_H24e); [ zenon_intro zenon_H24f | zenon_intro zenon_Hea ]. % 11.33/11.52 elim (classic ((op (e3) (op (e3) (op (e3) (e3)))) = (op (e3) (op (e3) (op (e3) (e3)))))); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Ha9 ]. % 11.33/11.52 cut (((op (e3) (op (e3) (op (e3) (e3)))) = (op (e3) (op (e3) (op (e3) (e3))))) = ((e1) = (op (e3) (op (e3) (op (e3) (e3)))))). % 11.33/11.52 intro zenon_D_pnotp. % 11.33/11.52 apply zenon_H24f. % 11.33/11.52 rewrite <- zenon_D_pnotp. % 11.33/11.52 exact zenon_Ha8. % 11.33/11.52 cut (((op (e3) (op (e3) (op (e3) (e3)))) = (op (e3) (op (e3) (op (e3) (e3)))))); [idtac | apply NNPP; zenon_intro zenon_Ha9]. % 11.33/11.52 cut (((op (e3) (op (e3) (op (e3) (e3)))) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H250]. % 11.33/11.52 congruence. % 11.33/11.52 cut (((op (e3) (e0)) = (e1)) = ((op (e3) (op (e3) (op (e3) (e3)))) = (e1))). % 11.33/11.52 intro zenon_D_pnotp. % 11.33/11.52 apply zenon_H250. % 11.33/11.52 rewrite <- zenon_D_pnotp. % 11.33/11.52 exact zenon_H99. % 11.33/11.52 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H22]. % 11.33/11.52 cut (((op (e3) (e0)) = (op (e3) (op (e3) (op (e3) (e3)))))); [idtac | apply NNPP; zenon_intro zenon_H1ea]. % 11.33/11.52 congruence. % 11.33/11.52 elim (classic ((op (e3) (op (e3) (op (e3) (e3)))) = (op (e3) (op (e3) (op (e3) (e3)))))); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Ha9 ]. % 11.33/11.52 cut (((op (e3) (op (e3) (op (e3) (e3)))) = (op (e3) (op (e3) (op (e3) (e3))))) = ((op (e3) (e0)) = (op (e3) (op (e3) (op (e3) (e3)))))). % 11.33/11.52 intro zenon_D_pnotp. % 11.33/11.52 apply zenon_H1ea. % 11.33/11.52 rewrite <- zenon_D_pnotp. % 11.33/11.52 exact zenon_Ha8. % 11.33/11.52 cut (((op (e3) (op (e3) (op (e3) (e3)))) = (op (e3) (op (e3) (op (e3) (e3)))))); [idtac | apply NNPP; zenon_intro zenon_Ha9]. % 11.33/11.52 cut (((op (e3) (op (e3) (op (e3) (e3)))) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H1eb]. % 11.33/11.52 congruence. % 11.33/11.52 cut (((op (e3) (op (e3) (e3))) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1e7]. % 11.33/11.52 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H36]. % 11.33/11.52 congruence. % 11.33/11.52 apply zenon_H36. apply refl_equal. % 11.33/11.52 cut (((op (e3) (e2)) = (e0)) = ((op (e3) (op (e3) (e3))) = (e0))). % 11.33/11.52 intro zenon_D_pnotp. % 11.33/11.52 apply zenon_H1e7. % 11.33/11.52 rewrite <- zenon_D_pnotp. % 11.33/11.52 exact zenon_Hf7. % 11.33/11.52 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1d]. % 11.33/11.52 cut (((op (e3) (e2)) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H24d]. % 11.33/11.52 congruence. % 11.33/11.52 elim (classic ((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [ zenon_intro zenon_Ha0 | zenon_intro zenon_Ha1 ]. % 11.33/11.52 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3)))) = ((op (e3) (e2)) = (op (e3) (op (e3) (e3))))). % 11.33/11.52 intro zenon_D_pnotp. % 11.33/11.52 apply zenon_H24d. % 11.33/11.52 rewrite <- zenon_D_pnotp. % 11.33/11.52 exact zenon_Ha0. % 11.33/11.52 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_Ha1]. % 11.33/11.52 cut (((op (e3) (op (e3) (e3))) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H24c]. % 11.33/11.52 congruence. % 11.33/11.52 apply (zenon_L539_); trivial. % 11.33/11.52 apply zenon_Ha1. apply refl_equal. % 11.33/11.52 apply zenon_Ha1. apply refl_equal. % 11.33/11.52 apply zenon_H1d. apply refl_equal. % 11.33/11.52 apply zenon_Ha9. apply refl_equal. % 11.33/11.52 apply zenon_Ha9. apply refl_equal. % 11.33/11.52 apply zenon_H22. apply refl_equal. % 11.33/11.52 apply zenon_Ha9. apply refl_equal. % 11.33/11.52 apply zenon_Ha9. apply refl_equal. % 11.33/11.52 apply zenon_Hea. apply sym_equal. exact zenon_Hb4. % 11.33/11.52 (* end of lemma zenon_L541_ *) % 11.33/11.52 assert (zenon_L542_ : (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e1)) -> ((op (e3) (e2)) = (e0)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e3)) -> False). % 11.33/11.52 do 0 intro. intros zenon_Hf0 zenon_H72 zenon_H13a zenon_H15d zenon_H99 zenon_Hf7 zenon_He5 zenon_H147. % 11.33/11.52 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf1 ]. % 11.33/11.52 apply (zenon_L466_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_He7 | zenon_intro zenon_Hf2 ]. % 11.33/11.52 apply (zenon_L262_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_Hb4 | zenon_intro zenon_Hed ]. % 11.33/11.52 apply (zenon_L541_); trivial. % 11.33/11.52 apply (zenon_L132_); trivial. % 11.33/11.52 (* end of lemma zenon_L542_ *) % 11.33/11.52 assert (zenon_L543_ : (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (e3))) -> ((op (e3) (e0)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e3) (e2)) = (e2)) -> (~((e2) = (e3))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e3) (e2)) = (e0)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> False). % 11.33/11.52 do 0 intro. intros zenon_H251 zenon_H252 zenon_H99 zenon_H15d zenon_H13a zenon_H72 zenon_Hf0 zenon_Hae zenon_H41 zenon_H223 zenon_Hf7 zenon_H1d8 zenon_H56 zenon_H1f3 zenon_H2c zenon_H222 zenon_He5. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H15e | zenon_intro zenon_H253 ]. % 11.33/11.52 exact (zenon_H252 zenon_H15e). % 11.33/11.52 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ]. % 11.33/11.52 apply (zenon_L542_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_Hec | zenon_intro zenon_Hed ]. % 11.33/11.52 apply (zenon_L271_); trivial. % 11.33/11.52 apply (zenon_L356_); trivial. % 11.33/11.52 (* end of lemma zenon_L543_ *) % 11.33/11.52 assert (zenon_L544_ : (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e2) (e0)) = (e2)) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e0) (e3)) = (e0)) -> (~((e2) = (e3))) -> ((op (e1) (e3)) = (e3)) -> (~((e1) = (e2))) -> ((op (e3) (e0)) = (e1)) -> False). % 11.33/11.52 do 0 intro. intros zenon_Hfb zenon_H210 zenon_H57 zenon_H10e zenon_Hcf zenon_H11b zenon_Hb5 zenon_H56 zenon_H157 zenon_H11c zenon_H197 zenon_H27 zenon_H72 zenon_H41 zenon_H8b zenon_H30 zenon_H99. % 11.33/11.52 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hd0 | zenon_intro zenon_Hfe ]. % 11.33/11.52 apply (zenon_L297_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_He0 | zenon_intro zenon_Hff ]. % 11.33/11.52 apply (zenon_L88_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Hce | zenon_intro zenon_Hf7 ]. % 11.33/11.52 exact (zenon_Hcf zenon_Hce). % 11.33/11.52 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H6f | zenon_intro zenon_H11d ]. % 11.33/11.52 apply (zenon_L108_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H11e ]. % 11.33/11.52 apply (zenon_L239_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H11f | zenon_intro zenon_H118 ]. % 11.33/11.52 exact (zenon_H11c zenon_H11f). % 11.33/11.52 apply (zenon_or_s _ _ zenon_H197); [ zenon_intro zenon_H3f | zenon_intro zenon_H198 ]. % 11.33/11.52 apply (zenon_L180_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H62 | zenon_intro zenon_H199 ]. % 11.33/11.52 apply (zenon_L465_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H18a | zenon_intro zenon_Hb4 ]. % 11.33/11.52 apply (zenon_L245_); trivial. % 11.33/11.52 apply (zenon_L541_); trivial. % 11.33/11.52 (* end of lemma zenon_L544_ *) % 11.33/11.52 assert (zenon_L545_ : (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e0) = (e1))) -> ((op (e0) (e2)) = (e1)) -> (~((e0) = (e2))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e0)) -> False). % 11.33/11.52 do 0 intro. intros zenon_Hfb zenon_H20 zenon_H2e zenon_H27 zenon_H5b zenon_Hcf zenon_Hf6 zenon_Hc3. % 11.33/11.52 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hd0 | zenon_intro zenon_Hfe ]. % 11.33/11.52 apply (zenon_L61_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_He0 | zenon_intro zenon_Hff ]. % 11.33/11.52 apply (zenon_L347_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Hce | zenon_intro zenon_Hf7 ]. % 11.33/11.52 exact (zenon_Hcf zenon_Hce). % 11.33/11.52 apply (zenon_L77_); trivial. % 11.33/11.52 (* end of lemma zenon_L545_ *) % 11.33/11.52 assert (zenon_L546_ : (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e0) = (e1))) -> ((op (e0) (e2)) = (e1)) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e3)) -> False). % 11.33/11.52 do 0 intro. intros zenon_Hfb zenon_H20 zenon_H2e zenon_H57 zenon_H10e zenon_Hcf zenon_Hf0 zenon_H72 zenon_H13a zenon_H15d zenon_H99 zenon_He5 zenon_H147. % 11.33/11.52 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hd0 | zenon_intro zenon_Hfe ]. % 11.33/11.52 apply (zenon_L61_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_He0 | zenon_intro zenon_Hff ]. % 11.33/11.52 apply (zenon_L88_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Hce | zenon_intro zenon_Hf7 ]. % 11.33/11.52 exact (zenon_Hcf zenon_Hce). % 11.33/11.52 apply (zenon_L542_); trivial. % 11.33/11.52 (* end of lemma zenon_L546_ *) % 11.33/11.52 assert (zenon_L547_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e0)) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e1) = (e2))) -> ((op (e2) (e0)) = (e2)) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e1))) -> False). % 11.33/11.52 do 0 intro. intros zenon_H4c zenon_H10b zenon_H147 zenon_He5 zenon_H15d zenon_H13a zenon_Hf0 zenon_Hcf zenon_H10e zenon_H57 zenon_Hfb zenon_H30 zenon_Hb5 zenon_H56 zenon_H1ca zenon_H4d zenon_Hb7 zenon_H72 zenon_H20. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.33/11.52 exact (zenon_H4d zenon_H4f). % 11.33/11.52 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.33/11.52 apply (zenon_L223_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.33/11.52 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ]. % 11.33/11.52 exact (zenon_H4d zenon_H4f). % 11.33/11.52 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ]. % 11.33/11.52 apply (zenon_L459_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ]. % 11.33/11.52 apply (zenon_L108_); trivial. % 11.33/11.52 apply (zenon_L546_); trivial. % 11.33/11.52 apply (zenon_L182_); trivial. % 11.33/11.52 (* end of lemma zenon_L547_ *) % 11.33/11.52 assert (zenon_L548_ : (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e0)) -> ((op (e3) (e3)) = (e0)) -> False). % 11.33/11.52 do 0 intro. intros zenon_H15d zenon_Hc3 zenon_H9d. % 11.33/11.52 cut (((op (e3) (e0)) = (e0)) = ((op (e3) (e0)) = (op (e3) (e3)))). % 11.33/11.52 intro zenon_D_pnotp. % 11.33/11.52 apply zenon_H15d. % 11.33/11.52 rewrite <- zenon_D_pnotp. % 11.33/11.52 exact zenon_Hc3. % 11.33/11.52 cut (((e0) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Ha6]. % 11.33/11.52 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hf9]. % 11.33/11.52 congruence. % 11.33/11.52 apply zenon_Hf9. apply refl_equal. % 11.33/11.52 apply zenon_Ha6. apply sym_equal. exact zenon_H9d. % 11.33/11.52 (* end of lemma zenon_L548_ *) % 11.33/11.52 assert (zenon_L549_ : (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> ((op (e3) (e0)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False). % 11.33/11.52 do 0 intro. intros zenon_Hf0 zenon_Hc3 zenon_H99 zenon_H15d zenon_H62 zenon_H141 zenon_H164 zenon_He3. % 11.33/11.52 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf1 ]. % 11.33/11.52 apply (zenon_L548_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_He7 | zenon_intro zenon_Hf2 ]. % 11.33/11.52 apply (zenon_L262_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_Hb4 | zenon_intro zenon_Hed ]. % 11.33/11.52 apply (zenon_L336_); trivial. % 11.33/11.52 apply (zenon_L144_); trivial. % 11.33/11.52 (* end of lemma zenon_L549_ *) % 11.33/11.52 assert (zenon_L550_ : (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e3)) = (e0)) -> (~((e2) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e1)) -> ((op (e3) (e0)) = (e0)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e3)) -> False). % 11.33/11.52 do 0 intro. intros zenon_H236 zenon_H34 zenon_H72 zenon_H41 zenon_He3 zenon_H141 zenon_H62 zenon_H15d zenon_H99 zenon_Hc3 zenon_Hf0 zenon_He5 zenon_H147. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H40 | zenon_intro zenon_H237 ]. % 11.33/11.52 apply (zenon_L379_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H8b | zenon_intro zenon_H238 ]. % 11.33/11.52 apply (zenon_L465_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H164 | zenon_intro zenon_Hed ]. % 11.33/11.52 apply (zenon_L549_); trivial. % 11.33/11.52 apply (zenon_L132_); trivial. % 11.33/11.52 (* end of lemma zenon_L550_ *) % 11.33/11.52 assert (zenon_L551_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> ((op (e3) (e0)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e0) = (e1))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e0) (e2)) = (e1)) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e2))) -> False). % 11.33/11.52 do 0 intro. intros zenon_H49 zenon_H1aa zenon_H147 zenon_He5 zenon_Hf0 zenon_Hc3 zenon_H99 zenon_H15d zenon_H141 zenon_He3 zenon_H41 zenon_H34 zenon_H236 zenon_Hfb zenon_H20 zenon_Hcf zenon_Hf6 zenon_H10b zenon_Hb5 zenon_H16c zenon_H69 zenon_H30 zenon_H2e zenon_H72 zenon_H27. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.33/11.52 apply (zenon_L208_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H58 | zenon_intro zenon_H6a ]. % 11.33/11.52 apply (zenon_L343_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6c | zenon_intro zenon_H6b ]. % 11.33/11.52 apply (zenon_L353_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H5b | zenon_intro zenon_H62 ]. % 11.33/11.52 apply (zenon_L545_); trivial. % 11.33/11.52 apply (zenon_L550_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.33/11.52 apply (zenon_L6_); trivial. % 11.33/11.52 apply (zenon_L180_); trivial. % 11.33/11.52 (* end of lemma zenon_L551_ *) % 11.33/11.52 assert (zenon_L552_ : (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e0) = (e1))) -> False). % 11.33/11.52 do 0 intro. intros zenon_H18f zenon_H157 zenon_H19f zenon_H65 zenon_H5c zenon_Hc0 zenon_H19c zenon_Had zenon_H11b zenon_Hcb zenon_Hfa zenon_H11c zenon_H216 zenon_H210 zenon_H22e zenon_H12d zenon_H234 zenon_H10e zenon_H13a zenon_H4c zenon_H27 zenon_H30 zenon_H69 zenon_H16c zenon_Hb5 zenon_H10b zenon_Hf6 zenon_Hcf zenon_Hfb zenon_H236 zenon_H34 zenon_H41 zenon_He3 zenon_H141 zenon_H15d zenon_Hf0 zenon_He5 zenon_H147 zenon_H1aa zenon_H49 zenon_H56 zenon_H1ca zenon_H4d zenon_Hb7 zenon_H20. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H25 | zenon_intro zenon_H190 ]. % 11.33/11.52 exact (zenon_H234 zenon_H25). % 11.33/11.52 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H1e | zenon_intro zenon_H191 ]. % 11.33/11.52 apply (zenon_L531_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H72 ]. % 11.33/11.52 apply (zenon_L537_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H25 | zenon_intro zenon_H12e ]. % 11.33/11.52 exact (zenon_H234 zenon_H25). % 11.33/11.52 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H57 | zenon_intro zenon_H12f ]. % 11.33/11.52 apply (zenon_L547_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H6e | zenon_intro zenon_Hc3 ]. % 11.33/11.52 apply (zenon_L48_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.33/11.52 exact (zenon_H4d zenon_H4f). % 11.33/11.52 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.33/11.52 apply (zenon_L223_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.33/11.52 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ]. % 11.33/11.52 exact (zenon_H4d zenon_H4f). % 11.33/11.52 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ]. % 11.33/11.52 apply (zenon_L459_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ]. % 11.33/11.52 apply (zenon_L108_); trivial. % 11.33/11.52 apply (zenon_L551_); trivial. % 11.33/11.52 apply (zenon_L182_); trivial. % 11.33/11.52 (* end of lemma zenon_L552_ *) % 11.33/11.52 assert (zenon_L553_ : (((op (e2) (e2)) = (e2))/\(((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0)))/\(((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))))))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> False). % 11.33/11.52 do 0 intro. intros zenon_H132 zenon_Hb5 zenon_Hc0. % 11.33/11.52 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H5a. zenon_intro zenon_H133. % 11.33/11.52 apply (zenon_L50_); trivial. % 11.33/11.52 (* end of lemma zenon_L553_ *) % 11.33/11.52 assert (zenon_L554_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e0) = (e3))) -> ((op (e1) (e0)) = (e0)) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e3) (e0)) = (e3))) -> False). % 11.33/11.52 do 0 intro. intros zenon_H161 zenon_H38 zenon_H34 zenon_H57 zenon_H41 zenon_Hb5 zenon_H252. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ]. % 11.33/11.52 exact (zenon_H38 zenon_H33). % 11.33/11.52 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ]. % 11.33/11.52 apply (zenon_L118_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ]. % 11.33/11.52 apply (zenon_L233_); trivial. % 11.33/11.52 exact (zenon_H252 zenon_H15e). % 11.33/11.52 (* end of lemma zenon_L554_ *) % 11.33/11.52 assert (zenon_L555_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e2) (e0)) = (e2)) -> (~((e0) = (e2))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> ((op (e1) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False). % 11.33/11.52 do 0 intro. intros zenon_Hfa zenon_Hb5 zenon_H27 zenon_H1e zenon_Hcb zenon_Hcf zenon_H255 zenon_H16e zenon_H90 zenon_H62 zenon_H61 zenon_Hed zenon_H13a. % 11.33/11.52 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H6e | zenon_intro zenon_Hfc ]. % 11.33/11.52 apply (zenon_L48_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hfd ]. % 11.33/11.52 apply (zenon_L55_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hce | zenon_intro zenon_H96 ]. % 11.33/11.52 exact (zenon_Hcf zenon_Hce). % 11.33/11.52 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H72 | zenon_intro zenon_H256 ]. % 11.33/11.52 apply (zenon_L176_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H47 | zenon_intro zenon_H257 ]. % 11.33/11.52 apply (zenon_L127_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H3f | zenon_intro zenon_H40 ]. % 11.33/11.52 apply (zenon_L22_); trivial. % 11.33/11.52 apply (zenon_L113_); trivial. % 11.33/11.52 (* end of lemma zenon_L555_ *) % 11.33/11.52 assert (zenon_L556_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e1) (e0)) = (e3)) -> ((op (e1) (e2)) = (e0)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e2) (e0)) = (e2)) -> (~((e0) = (e2))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False). % 11.33/11.52 do 0 intro. intros zenon_H69 zenon_H16c zenon_H75 zenon_He0 zenon_Hfa zenon_Hb5 zenon_H27 zenon_H1e zenon_Hcb zenon_Hcf zenon_H255 zenon_H16e zenon_H90 zenon_H61 zenon_Hed zenon_H13a. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H58 | zenon_intro zenon_H6a ]. % 11.33/11.52 apply (zenon_L343_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6c | zenon_intro zenon_H6b ]. % 11.33/11.52 apply (zenon_L346_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H5b | zenon_intro zenon_H62 ]. % 11.33/11.52 apply (zenon_L347_); trivial. % 11.33/11.52 apply (zenon_L555_); trivial. % 11.33/11.52 (* end of lemma zenon_L556_ *) % 11.33/11.52 assert (zenon_L557_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e2) (e0)) = (e2)) -> (~((e0) = (e2))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e0)) -> False). % 11.33/11.52 do 0 intro. intros zenon_Hfa zenon_Hb5 zenon_H27 zenon_H1e zenon_Hcb zenon_Hcf zenon_H117 zenon_H7a. % 11.33/11.52 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H6e | zenon_intro zenon_Hfc ]. % 11.33/11.52 apply (zenon_L48_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hfd ]. % 11.33/11.52 apply (zenon_L55_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hce | zenon_intro zenon_H96 ]. % 11.33/11.52 exact (zenon_Hcf zenon_Hce). % 11.33/11.52 apply (zenon_L187_); trivial. % 11.33/11.52 (* end of lemma zenon_L557_ *) % 11.33/11.52 assert (zenon_L558_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((op (e1) (e0)) = (e3)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e0) = (e1))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e1) (e1)) = (e3))) -> (~((e0) = (e3))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e2) (e0)) = (e2)) -> (~((e0) = (e2))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False). % 11.33/11.52 do 0 intro. intros zenon_H113 zenon_H207 zenon_H13a zenon_Hed zenon_H61 zenon_H16e zenon_H255 zenon_H75 zenon_H16c zenon_H69 zenon_H20 zenon_H223 zenon_Hc3 zenon_H16a zenon_H1f3 zenon_H2c zenon_H222 zenon_He5 zenon_H8d zenon_H3c zenon_H79 zenon_H34 zenon_H141 zenon_H92 zenon_Hfa zenon_Hb5 zenon_H27 zenon_H1e zenon_Hcb zenon_Hcf zenon_H117. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ]. % 11.33/11.52 apply (zenon_L118_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ]. % 11.33/11.52 exact (zenon_H207 zenon_H10c). % 11.33/11.52 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ]. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H6d | zenon_intro zenon_H93 ]. % 11.33/11.52 apply (zenon_L516_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H56 | zenon_intro zenon_H94 ]. % 11.33/11.52 apply (zenon_L435_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H88 | zenon_intro zenon_H90 ]. % 11.33/11.52 apply (zenon_L92_); trivial. % 11.33/11.52 apply (zenon_L556_); trivial. % 11.33/11.52 apply (zenon_L557_); trivial. % 11.33/11.52 (* end of lemma zenon_L558_ *) % 11.33/11.52 assert (zenon_L559_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e2))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((e0) = (e3))) -> (~((op (e1) (e1)) = (e3))) -> (~((e1) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e0)) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e1))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e3) (e0)) = (e3))) -> False). % 11.33/11.52 do 0 intro. intros zenon_H161 zenon_H38 zenon_H117 zenon_Hcf zenon_Hcb zenon_H1e zenon_H27 zenon_Hfa zenon_H92 zenon_H141 zenon_H34 zenon_H79 zenon_H3c zenon_H8d zenon_He5 zenon_H222 zenon_H2c zenon_H1f3 zenon_H16a zenon_Hc3 zenon_H223 zenon_H20 zenon_H69 zenon_H16c zenon_H255 zenon_H16e zenon_H61 zenon_Hed zenon_H13a zenon_H207 zenon_H113 zenon_H41 zenon_Hb5 zenon_H252. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ]. % 11.33/11.52 exact (zenon_H38 zenon_H33). % 11.33/11.52 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ]. % 11.33/11.52 apply (zenon_L558_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ]. % 11.33/11.52 apply (zenon_L233_); trivial. % 11.33/11.52 exact (zenon_H252 zenon_H15e). % 11.33/11.52 (* end of lemma zenon_L559_ *) % 11.33/11.52 assert (zenon_L560_ : (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e2)) -> ((op (e1) (e0)) = (e3)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> False). % 11.33/11.52 do 0 intro. intros zenon_Hf3 zenon_H41 zenon_H2f zenon_H75 zenon_H10e zenon_He2 zenon_Heb zenon_Hed. % 11.33/11.52 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H3b | zenon_intro zenon_Hf4 ]. % 11.33/11.52 apply (zenon_L13_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H89 | zenon_intro zenon_Hf5 ]. % 11.33/11.52 apply (zenon_L229_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_He1 | zenon_intro zenon_Hec ]. % 11.33/11.52 exact (zenon_He2 zenon_He1). % 11.33/11.52 apply (zenon_L74_); trivial. % 11.33/11.52 (* end of lemma zenon_L560_ *) % 11.33/11.52 assert (zenon_L561_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e2)) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e3) (e0)) = (e3))) -> False). % 11.33/11.52 do 0 intro. intros zenon_H161 zenon_H38 zenon_Hed zenon_Heb zenon_He2 zenon_H10e zenon_H2f zenon_Hf3 zenon_H41 zenon_Hb5 zenon_H252. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ]. % 11.33/11.52 exact (zenon_H38 zenon_H33). % 11.33/11.52 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ]. % 11.33/11.52 apply (zenon_L560_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ]. % 11.33/11.52 apply (zenon_L233_); trivial. % 11.33/11.52 exact (zenon_H252 zenon_H15e). % 11.33/11.52 (* end of lemma zenon_L561_ *) % 11.33/11.52 assert (zenon_L562_ : (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e3)) -> ((op (e1) (e1)) = (e2)) -> ((op (e1) (e0)) = (e3)) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e0)) -> False). % 11.33/11.52 do 0 intro. intros zenon_Hfb zenon_H34 zenon_H3b zenon_H6c zenon_H75 zenon_Hcf zenon_Hf6 zenon_Hc3. % 11.33/11.52 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hd0 | zenon_intro zenon_Hfe ]. % 11.33/11.52 apply (zenon_L59_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_He0 | zenon_intro zenon_Hff ]. % 11.33/11.52 apply (zenon_L346_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Hce | zenon_intro zenon_Hf7 ]. % 11.33/11.52 exact (zenon_Hcf zenon_Hce). % 11.33/11.52 apply (zenon_L77_); trivial. % 11.33/11.52 (* end of lemma zenon_L562_ *) % 11.33/11.52 assert (zenon_L563_ : (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e3)) -> (~((e0) = (e2))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e0)) -> False). % 11.33/11.52 do 0 intro. intros zenon_Hfb zenon_H34 zenon_H3b zenon_H27 zenon_H5b zenon_Hcf zenon_Hf6 zenon_Hc3. % 11.33/11.52 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hd0 | zenon_intro zenon_Hfe ]. % 11.33/11.52 apply (zenon_L59_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_He0 | zenon_intro zenon_Hff ]. % 11.33/11.52 apply (zenon_L347_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Hce | zenon_intro zenon_Hf7 ]. % 11.33/11.52 exact (zenon_Hcf zenon_Hce). % 11.33/11.52 apply (zenon_L77_); trivial. % 11.33/11.52 (* end of lemma zenon_L563_ *) % 11.33/11.52 assert (zenon_L564_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e2) (e0)) = (e2)) -> ((op (e1) (e0)) = (e3)) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e0))) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e3)) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e2)) -> False). % 11.33/11.52 do 0 intro. intros zenon_H69 zenon_H16c zenon_Hb5 zenon_H75 zenon_Hc3 zenon_Hf6 zenon_Hcf zenon_H27 zenon_H3b zenon_H34 zenon_Hfb zenon_H61 zenon_H3f. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H58 | zenon_intro zenon_H6a ]. % 11.33/11.52 apply (zenon_L343_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6c | zenon_intro zenon_H6b ]. % 11.33/11.52 apply (zenon_L562_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H5b | zenon_intro zenon_H62 ]. % 11.33/11.52 apply (zenon_L563_); trivial. % 11.33/11.52 apply (zenon_L22_); trivial. % 11.33/11.52 (* end of lemma zenon_L564_ *) % 11.33/11.52 assert (zenon_L565_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e1)) = (e0)) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e3))) -> ((op (e2) (e0)) = (e2)) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e0))) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e3)) = (e2)) -> (~((e2) = (e3))) -> False). % 11.33/11.52 do 0 intro. intros zenon_H44 zenon_H1e zenon_Hc3 zenon_H34 zenon_Hb5 zenon_H69 zenon_H16c zenon_Hf6 zenon_Hcf zenon_H27 zenon_Hfb zenon_H61 zenon_H38 zenon_H161 zenon_H3f zenon_H41. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.33/11.52 exact (zenon_H38 zenon_H33). % 11.33/11.52 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.33/11.52 apply (zenon_L8_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ]. % 11.33/11.52 exact (zenon_H38 zenon_H33). % 11.33/11.52 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ]. % 11.33/11.52 apply (zenon_L564_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ]. % 11.33/11.52 apply (zenon_L233_); trivial. % 11.33/11.52 apply (zenon_L201_); trivial. % 11.33/11.52 apply (zenon_L11_); trivial. % 11.33/11.52 (* end of lemma zenon_L565_ *) % 11.33/11.52 assert (zenon_L566_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e0)) = (e1)) -> (~((e0) = (e3))) -> ((op (e1) (e0)) = (e0)) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e3) (e0)) = (e3))) -> False). % 11.33/11.52 do 0 intro. intros zenon_H161 zenon_H3c zenon_H4f zenon_H34 zenon_H57 zenon_H41 zenon_Hb5 zenon_H252. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ]. % 11.33/11.52 apply (zenon_L58_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ]. % 11.33/11.52 apply (zenon_L118_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ]. % 11.33/11.52 apply (zenon_L233_); trivial. % 11.33/11.52 exact (zenon_H252 zenon_H15e). % 11.33/11.52 (* end of lemma zenon_L566_ *) % 11.33/11.52 assert (zenon_L567_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e2)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e2)) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e3))) -> False). % 11.33/11.52 do 0 intro. intros zenon_H44 zenon_H3c zenon_H4f zenon_He3 zenon_Hed zenon_He2 zenon_Hcb zenon_Hb5 zenon_H167 zenon_H41 zenon_H2f zenon_H72 zenon_H34. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.33/11.52 apply (zenon_L58_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.33/11.52 apply (zenon_L243_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.33/11.52 apply (zenon_L13_); trivial. % 11.33/11.52 apply (zenon_L379_); trivial. % 11.33/11.52 (* end of lemma zenon_L567_ *) % 11.33/11.52 assert (zenon_L568_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((e1) = (e2))) -> ((op (e0) (e1)) = (e1)) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e3))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e0)) = (e1)) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e2))) -> False). % 11.33/11.52 do 0 intro. intros zenon_H49 zenon_H1aa zenon_H30 zenon_H1f zenon_H34 zenon_H41 zenon_H167 zenon_Hb5 zenon_Hcb zenon_He2 zenon_Hed zenon_He3 zenon_H4f zenon_H3c zenon_H44 zenon_H72 zenon_H27. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.33/11.52 apply (zenon_L208_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.33/11.52 apply (zenon_L211_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.33/11.52 apply (zenon_L567_); trivial. % 11.33/11.52 apply (zenon_L180_); trivial. % 11.33/11.52 (* end of lemma zenon_L568_ *) % 11.33/11.52 assert (zenon_L569_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((op (e3) (e2)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e2)) -> (~((e1) = (e3))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> ((op (e3) (e1)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (e3))) -> False). % 11.33/11.52 do 0 intro. intros zenon_H1df zenon_Hf7 zenon_Hf6 zenon_He3 zenon_Hed zenon_H154 zenon_H72 zenon_H61 zenon_H117 zenon_H141 zenon_H16e zenon_H194 zenon_Hb5 zenon_H95 zenon_H27 zenon_H197 zenon_Hf3 zenon_H41 zenon_H2f zenon_H3c zenon_He2 zenon_Heb zenon_H1f zenon_H10b zenon_H212 zenon_H92 zenon_Ha4 zenon_H16a zenon_H252. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H1e0 ]. % 11.33/11.52 apply (zenon_L77_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H99 | zenon_intro zenon_H1e1 ]. % 11.33/11.52 apply (zenon_L340_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H9a | zenon_intro zenon_H15e ]. % 11.33/11.52 apply (zenon_L268_); trivial. % 11.33/11.52 exact (zenon_H252 zenon_H15e). % 11.33/11.52 (* end of lemma zenon_L569_ *) % 11.33/11.52 assert (zenon_L570_ : (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e2)) -> (~((e0) = (e3))) -> ((op (e1) (e2)) = (e3)) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e0)) -> False). % 11.33/11.52 do 0 intro. intros zenon_Hfb zenon_H27 zenon_H2f zenon_H34 zenon_H89 zenon_Hcf zenon_Hf6 zenon_Hc3. % 11.33/11.52 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hd0 | zenon_intro zenon_Hfe ]. % 11.33/11.52 apply (zenon_L57_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_He0 | zenon_intro zenon_Hff ]. % 11.33/11.52 apply (zenon_L69_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Hce | zenon_intro zenon_Hf7 ]. % 11.33/11.52 exact (zenon_Hcf zenon_Hce). % 11.33/11.52 apply (zenon_L77_); trivial. % 11.33/11.52 (* end of lemma zenon_L570_ *) % 11.33/11.52 assert (zenon_L571_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e0))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e2)) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((op (e1) (e3)) = (e2)) -> (~((e2) = (e3))) -> False). % 11.33/11.52 do 0 intro. intros zenon_H8d zenon_Hed zenon_Heb zenon_He2 zenon_H10e zenon_Hf3 zenon_H79 zenon_Hc3 zenon_Hf6 zenon_Hcf zenon_H34 zenon_H2f zenon_H27 zenon_Hfb zenon_H62 zenon_H41. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H75 | zenon_intro zenon_H8e ]. % 11.33/11.52 apply (zenon_L560_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H78 | zenon_intro zenon_H8f ]. % 11.33/11.52 exact (zenon_H79 zenon_H78). % 11.33/11.52 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H8b ]. % 11.33/11.52 apply (zenon_L570_); trivial. % 11.33/11.52 apply (zenon_L465_); trivial. % 11.33/11.52 (* end of lemma zenon_L571_ *) % 11.33/11.52 assert (zenon_L572_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e1) (e3)) = (e2)) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e2)) -> (~((e0) = (e3))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (e3))) -> False). % 11.33/11.52 do 0 intro. intros zenon_H1df zenon_H41 zenon_H62 zenon_Hfb zenon_H27 zenon_H2f zenon_H34 zenon_Hcf zenon_H79 zenon_Hf3 zenon_H10e zenon_He2 zenon_Heb zenon_Hed zenon_H8d zenon_He6 zenon_H16a zenon_Hae zenon_Hf6 zenon_H252. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H1e0 ]. % 11.33/11.52 apply (zenon_L571_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H99 | zenon_intro zenon_H1e1 ]. % 11.33/11.52 apply (zenon_L146_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H9a | zenon_intro zenon_H15e ]. % 11.33/11.52 apply (zenon_L256_); trivial. % 11.33/11.52 exact (zenon_H252 zenon_H15e). % 11.33/11.52 (* end of lemma zenon_L572_ *) % 11.33/11.52 assert (zenon_L573_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((op (e3) (e2)) = (e0)) -> ((op (e3) (e2)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (e3))) -> False). % 11.33/11.52 do 0 intro. intros zenon_H1df zenon_Hf7 zenon_H1d9 zenon_Hf6 zenon_Ha4 zenon_H16a zenon_H252. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H1e0 ]. % 11.33/11.52 apply (zenon_L77_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H99 | zenon_intro zenon_H1e1 ]. % 11.33/11.52 apply (zenon_L534_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H9a | zenon_intro zenon_H15e ]. % 11.33/11.52 apply (zenon_L268_); trivial. % 11.33/11.52 exact (zenon_H252 zenon_H15e). % 11.33/11.52 (* end of lemma zenon_L573_ *) % 11.33/11.52 assert (zenon_L574_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e1)) -> ((op (e3) (e2)) = (e0)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e2) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False). % 11.33/11.52 do 0 intro. intros zenon_Hb0 zenon_Hb5 zenon_H226 zenon_H16a zenon_H252 zenon_Hf6 zenon_H1d9 zenon_Hf7 zenon_H1df zenon_H154 zenon_H72 zenon_H61 zenon_H118 zenon_H117 zenon_Hed zenon_H141. % 11.33/11.52 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H9a | zenon_intro zenon_Hb2 ]. % 11.33/11.52 apply (zenon_L361_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Hb3 ]. % 11.33/11.52 apply (zenon_L573_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_Hae | zenon_intro zenon_Hb4 ]. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H1e0 ]. % 11.33/11.52 apply (zenon_L77_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H99 | zenon_intro zenon_H1e1 ]. % 11.33/11.52 apply (zenon_L534_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H9a | zenon_intro zenon_H15e ]. % 11.33/11.52 apply (zenon_L256_); trivial. % 11.33/11.52 exact (zenon_H252 zenon_H15e). % 11.33/11.52 apply (zenon_L337_); trivial. % 11.33/11.52 (* end of lemma zenon_L574_ *) % 11.33/11.52 assert (zenon_L575_ : (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((e0) = (e3))) -> (~((op (e1) (e1)) = (e3))) -> (~((e1) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e0)) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e1) (e2)) = (e0)) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e0)) = (e2)) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False). % 11.33/11.52 do 0 intro. intros zenon_H92 zenon_H34 zenon_H79 zenon_H3c zenon_H8d zenon_He5 zenon_H222 zenon_H2c zenon_H1f3 zenon_H16a zenon_Hc3 zenon_H223 zenon_He0 zenon_H20 zenon_H197 zenon_H27 zenon_H95 zenon_Hb5 zenon_H194 zenon_H16e zenon_H141 zenon_H117 zenon_H61 zenon_H72 zenon_H154 zenon_Hed zenon_He3. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H6d | zenon_intro zenon_H93 ]. % 11.33/11.52 apply (zenon_L516_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H56 | zenon_intro zenon_H94 ]. % 11.33/11.52 apply (zenon_L435_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H88 | zenon_intro zenon_H90 ]. % 11.33/11.52 apply (zenon_L92_); trivial. % 11.33/11.52 apply (zenon_L339_); trivial. % 11.33/11.52 (* end of lemma zenon_L575_ *) % 11.33/11.52 assert (zenon_L576_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((op (e1) (e0)) = (e3)) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e1))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e1) (e1)) = (e3))) -> (~((e0) = (e3))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False). % 11.33/11.52 do 0 intro. intros zenon_H113 zenon_H75 zenon_H207 zenon_He3 zenon_Hed zenon_H154 zenon_H117 zenon_H141 zenon_H16e zenon_H194 zenon_Hb5 zenon_H95 zenon_H27 zenon_H197 zenon_H20 zenon_H223 zenon_Hc3 zenon_H16a zenon_H1f3 zenon_H2c zenon_H222 zenon_He5 zenon_H8d zenon_H3c zenon_H79 zenon_H34 zenon_H92 zenon_H61 zenon_H72. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ]. % 11.33/11.52 apply (zenon_L118_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ]. % 11.33/11.52 exact (zenon_H207 zenon_H10c). % 11.33/11.52 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ]. % 11.33/11.52 apply (zenon_L575_); trivial. % 11.33/11.52 apply (zenon_L335_); trivial. % 11.33/11.52 (* end of lemma zenon_L576_ *) % 11.33/11.52 assert (zenon_L577_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e1) (e1)) = (e0))) -> (~((e0) = (e3))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((e1) = (e2))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e2))) -> False). % 11.33/11.52 do 0 intro. intros zenon_Hb7 zenon_H44 zenon_Hcb zenon_H167 zenon_H113 zenon_Hfb zenon_Hcf zenon_Hf6 zenon_Hc3 zenon_H207 zenon_H34 zenon_H79 zenon_H8d zenon_H49 zenon_H1aa zenon_H30 zenon_He3 zenon_Hed zenon_H154 zenon_H61 zenon_H117 zenon_H141 zenon_H16e zenon_H194 zenon_Hb5 zenon_H95 zenon_H197 zenon_Hf3 zenon_H41 zenon_H3c zenon_He2 zenon_Heb zenon_H1f zenon_H10b zenon_H212 zenon_H92 zenon_H72 zenon_H27. % 11.33/11.52 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ]. % 11.33/11.52 apply (zenon_L568_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ]. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.33/11.52 apply (zenon_L208_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.33/11.52 apply (zenon_L211_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ]. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H75 | zenon_intro zenon_H8e ]. % 11.33/11.52 apply (zenon_L118_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H78 | zenon_intro zenon_H8f ]. % 11.33/11.52 exact (zenon_H79 zenon_H78). % 11.33/11.52 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H8b ]. % 11.33/11.52 apply (zenon_L570_); trivial. % 11.33/11.52 apply (zenon_L120_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ]. % 11.33/11.52 exact (zenon_H207 zenon_H10c). % 11.33/11.52 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ]. % 11.33/11.52 apply (zenon_L516_); trivial. % 11.33/11.52 apply (zenon_L335_); trivial. % 11.33/11.52 apply (zenon_L180_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ]. % 11.33/11.52 apply (zenon_L108_); trivial. % 11.33/11.52 apply (zenon_L341_); trivial. % 11.33/11.52 (* end of lemma zenon_L577_ *) % 11.33/11.52 assert (zenon_L578_ : (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e1)) -> ((op (e2) (e2)) = (e1)) -> False). % 11.33/11.52 do 0 intro. intros zenon_H65 zenon_H2e zenon_H11f. % 11.33/11.52 cut (((op (e0) (e2)) = (e1)) = ((op (e0) (e2)) = (op (e2) (e2)))). % 11.33/11.52 intro zenon_D_pnotp. % 11.33/11.52 apply zenon_H65. % 11.33/11.52 rewrite <- zenon_D_pnotp. % 11.33/11.52 exact zenon_H2e. % 11.33/11.52 cut (((e1) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H19a]. % 11.33/11.52 cut (((op (e0) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H140]. % 11.33/11.52 congruence. % 11.33/11.52 apply zenon_H140. apply refl_equal. % 11.33/11.52 apply zenon_H19a. apply sym_equal. exact zenon_H11f. % 11.33/11.52 (* end of lemma zenon_L578_ *) % 11.33/11.52 assert (zenon_L579_ : (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e0))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e2)) = (e3))) -> False). % 11.33/11.52 do 0 intro. intros zenon_H19c zenon_Hcf zenon_H2e zenon_H65 zenon_Hc0 zenon_Hb5 zenon_He2. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_Hce | zenon_intro zenon_H19d ]. % 11.33/11.52 exact (zenon_Hcf zenon_Hce). % 11.33/11.52 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H11f | zenon_intro zenon_H19e ]. % 11.33/11.52 apply (zenon_L578_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H5a | zenon_intro zenon_He1 ]. % 11.33/11.52 apply (zenon_L50_); trivial. % 11.33/11.52 exact (zenon_He2 zenon_He1). % 11.33/11.52 (* end of lemma zenon_L579_ *) % 11.33/11.52 assert (zenon_L580_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (e3))) -> (~((e0) = (e2))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (~((e0) = (e3))) -> (~((op (e1) (e1)) = (e0))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e2) (e2)) = (e3))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e1))) -> False). % 11.33/11.52 do 0 intro. intros zenon_H4c zenon_H161 zenon_He5 zenon_H222 zenon_H1f3 zenon_H16a zenon_H223 zenon_H252 zenon_H27 zenon_H92 zenon_H212 zenon_H10b zenon_Heb zenon_H3c zenon_H41 zenon_Hf3 zenon_H197 zenon_H95 zenon_H194 zenon_H16e zenon_H141 zenon_H117 zenon_H61 zenon_H154 zenon_Hed zenon_He3 zenon_H30 zenon_H1aa zenon_H49 zenon_H8d zenon_H79 zenon_H34 zenon_H207 zenon_Hc3 zenon_Hf6 zenon_Hfb zenon_H113 zenon_H167 zenon_Hcb zenon_H44 zenon_Hb7 zenon_He2 zenon_Hb5 zenon_Hc0 zenon_H65 zenon_Hcf zenon_H19c zenon_H72 zenon_H20. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.33/11.52 apply (zenon_L160_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ]. % 11.33/11.52 apply (zenon_L58_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ]. % 11.33/11.52 apply (zenon_L576_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ]. % 11.33/11.52 apply (zenon_L233_); trivial. % 11.33/11.52 exact (zenon_H252 zenon_H15e). % 11.33/11.52 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.33/11.52 apply (zenon_L567_); trivial. % 11.33/11.52 apply (zenon_L180_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.33/11.52 apply (zenon_L577_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.33/11.52 apply (zenon_L579_); trivial. % 11.33/11.52 apply (zenon_L182_); trivial. % 11.33/11.52 (* end of lemma zenon_L580_ *) % 11.33/11.52 assert (zenon_L581_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((e0) = (e1))) -> ((op (e0) (e3)) = (e0)) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (e0))) -> (~((e0) = (e3))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((e1) = (e2))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((e0) = (e2))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((op (e3) (e3)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e0)) = (e3))) -> False). % 11.33/11.52 do 0 intro. intros zenon_H1df zenon_H20 zenon_H72 zenon_H19c zenon_Hcf zenon_H65 zenon_Hc0 zenon_He2 zenon_Hb7 zenon_H44 zenon_Hcb zenon_H167 zenon_H113 zenon_Hfb zenon_Hf6 zenon_H207 zenon_H34 zenon_H79 zenon_H8d zenon_H49 zenon_H1aa zenon_H30 zenon_He3 zenon_Hed zenon_H154 zenon_H61 zenon_H117 zenon_H141 zenon_H16e zenon_H194 zenon_H95 zenon_H197 zenon_Hf3 zenon_H41 zenon_H3c zenon_Heb zenon_H10b zenon_H212 zenon_H92 zenon_H27 zenon_H223 zenon_H16a zenon_H1f3 zenon_H222 zenon_He5 zenon_H161 zenon_H4c zenon_He7 zenon_H15d zenon_Hb5 zenon_H226 zenon_H252. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H1e0 ]. % 11.33/11.52 apply (zenon_L580_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H99 | zenon_intro zenon_H1e1 ]. % 11.33/11.52 apply (zenon_L262_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H9a | zenon_intro zenon_H15e ]. % 11.33/11.52 apply (zenon_L361_); trivial. % 11.33/11.52 exact (zenon_H252 zenon_H15e). % 11.33/11.52 (* end of lemma zenon_L581_ *) % 11.33/11.52 assert (zenon_L582_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e2)) -> ((op (e0) (e1)) = (e1)) -> ((op (e2) (e3)) = (e1)) -> ((op (e3) (e2)) = (e0)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((e0) = (e1))) -> ((op (e0) (e3)) = (e0)) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (e0))) -> (~((e0) = (e3))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((e1) = (e2))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((e0) = (e2))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e0)) = (e3))) -> False). % 11.33/11.52 do 0 intro. intros zenon_H1f0 zenon_H6d zenon_H10e zenon_H2f zenon_H1f zenon_H118 zenon_Hf7 zenon_Hb0 zenon_H1df zenon_H20 zenon_H72 zenon_H19c zenon_Hcf zenon_H65 zenon_Hc0 zenon_He2 zenon_Hb7 zenon_H44 zenon_Hcb zenon_H167 zenon_H113 zenon_Hfb zenon_Hf6 zenon_H207 zenon_H34 zenon_H79 zenon_H8d zenon_H49 zenon_H1aa zenon_H30 zenon_He3 zenon_Hed zenon_H154 zenon_H61 zenon_H117 zenon_H141 zenon_H16e zenon_H194 zenon_H95 zenon_H197 zenon_Hf3 zenon_H41 zenon_H3c zenon_Heb zenon_H10b zenon_H212 zenon_H92 zenon_H27 zenon_H223 zenon_H16a zenon_H1f3 zenon_H222 zenon_He5 zenon_H161 zenon_H4c zenon_H15d zenon_Hb5 zenon_H226 zenon_H252. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H99 | zenon_intro zenon_H1f1 ]. % 11.33/11.52 apply (zenon_L331_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_He6 | zenon_intro zenon_H1f2 ]. % 11.33/11.52 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H9a | zenon_intro zenon_Hb2 ]. % 11.33/11.52 apply (zenon_L361_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Hb3 ]. % 11.33/11.52 apply (zenon_L569_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_Hae | zenon_intro zenon_Hb4 ]. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H197); [ zenon_intro zenon_H3f | zenon_intro zenon_H198 ]. % 11.33/11.52 apply (zenon_L180_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H62 | zenon_intro zenon_H199 ]. % 11.33/11.52 apply (zenon_L572_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H18a | zenon_intro zenon_Hb4 ]. % 11.33/11.52 apply (zenon_L245_); trivial. % 11.33/11.52 apply (zenon_L338_); trivial. % 11.33/11.52 apply (zenon_L337_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H1d9 | zenon_intro zenon_He7 ]. % 11.33/11.52 apply (zenon_L574_); trivial. % 11.33/11.52 apply (zenon_L581_); trivial. % 11.33/11.52 (* end of lemma zenon_L582_ *) % 11.33/11.52 assert (zenon_L583_ : ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (e3))) -> ((op (e2) (e0)) = (e2)) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((e0) = (e1))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e0))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> False). % 11.33/11.52 do 0 intro. intros zenon_H1b6 zenon_H12d zenon_H161 zenon_H252 zenon_Hb5 zenon_H41 zenon_H34 zenon_H3c zenon_H210 zenon_Hcf zenon_H1d5 zenon_H212 zenon_Hb0 zenon_Hfb zenon_H8d zenon_Hf6 zenon_H92 zenon_H10b zenon_H16a zenon_H1df zenon_H226 zenon_H15d zenon_H113 zenon_H223 zenon_He5 zenon_H222 zenon_H1f3 zenon_H20 zenon_H207 zenon_Hb7 zenon_H19c zenon_Hc0 zenon_H65 zenon_H4c zenon_H1f0 zenon_H194 zenon_H117 zenon_H16e zenon_H95 zenon_H61 zenon_H141 zenon_H154 zenon_H197 zenon_H71 zenon_H10e zenon_Heb zenon_Hf3 zenon_H1aa zenon_H30 zenon_H44 zenon_H72 zenon_Hcb zenon_He3 zenon_Hed zenon_H167 zenon_H27 zenon_H49 zenon_H234 zenon_H18e. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H79 | zenon_intro zenon_H90 ]. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_He2 | zenon_intro zenon_H18a ]. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H25 | zenon_intro zenon_H12e ]. % 11.33/11.52 exact (zenon_H234 zenon_H25). % 11.33/11.52 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H57 | zenon_intro zenon_H12f ]. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.33/11.52 apply (zenon_L566_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.33/11.52 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ]. % 11.33/11.52 apply (zenon_L568_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ]. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.33/11.52 apply (zenon_L208_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.33/11.52 apply (zenon_L211_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H75 | zenon_intro zenon_H8e ]. % 11.33/11.52 apply (zenon_L560_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H78 | zenon_intro zenon_H8f ]. % 11.33/11.52 exact (zenon_H79 zenon_H78). % 11.33/11.52 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H8b ]. % 11.33/11.52 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hd0 | zenon_intro zenon_Hfe ]. % 11.33/11.52 apply (zenon_L297_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_He0 | zenon_intro zenon_Hff ]. % 11.33/11.52 apply (zenon_L69_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Hce | zenon_intro zenon_Hf7 ]. % 11.33/11.52 exact (zenon_Hcf zenon_Hce). % 11.33/11.52 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H47 | zenon_intro zenon_H1d6 ]. % 11.33/11.52 apply (zenon_L199_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H90 | zenon_intro zenon_H1d7 ]. % 11.33/11.52 apply (zenon_L339_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H118 | zenon_intro zenon_He7 ]. % 11.33/11.52 apply (zenon_L582_); trivial. % 11.33/11.52 apply (zenon_L581_); trivial. % 11.33/11.52 apply (zenon_L120_); trivial. % 11.33/11.52 apply (zenon_L180_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ]. % 11.33/11.52 apply (zenon_L108_); trivial. % 11.33/11.52 apply (zenon_L341_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.33/11.52 apply (zenon_L579_); trivial. % 11.33/11.52 apply (zenon_L182_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H6e | zenon_intro zenon_Hc3 ]. % 11.33/11.52 apply (zenon_L48_); trivial. % 11.33/11.52 apply (zenon_L580_); trivial. % 11.33/11.52 apply (zenon_L334_); trivial. % 11.33/11.52 apply (zenon_L339_); trivial. % 11.33/11.52 (* end of lemma zenon_L583_ *) % 11.33/11.52 assert (zenon_L584_ : (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e0) = (e1))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e0) (e0)) = (e3))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e3) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((e1) = (e2))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> False). % 11.33/11.52 do 0 intro. intros zenon_H234 zenon_H12d zenon_H1aa zenon_H207 zenon_H92 zenon_H16c zenon_Hfa zenon_H16e zenon_H61 zenon_H13a zenon_H255 zenon_Hcf zenon_Hcb zenon_H69 zenon_H20 zenon_H16a zenon_H1f3 zenon_H222 zenon_He5 zenon_H223 zenon_H3c zenon_H79 zenon_H141 zenon_Hed zenon_H8d zenon_H117 zenon_H113 zenon_H10e zenon_Heb zenon_Hf3 zenon_H44 zenon_Hf6 zenon_Hfb zenon_H49 zenon_H27 zenon_H38 zenon_H34 zenon_H41 zenon_Hb5 zenon_H252 zenon_H161 zenon_He3 zenon_H167 zenon_H1b6 zenon_H210 zenon_H1d5 zenon_H212 zenon_Hb0 zenon_H10b zenon_H1df zenon_H226 zenon_H15d zenon_Hb7 zenon_H19c zenon_Hc0 zenon_H65 zenon_H4c zenon_H1f0 zenon_H194 zenon_H95 zenon_H154 zenon_H197 zenon_H71 zenon_H30 zenon_H18e zenon_H18f. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_He2 | zenon_intro zenon_H18a ]. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H25 | zenon_intro zenon_H190 ]. % 11.33/11.52 exact (zenon_H234 zenon_H25). % 11.33/11.52 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H1e | zenon_intro zenon_H191 ]. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H25 | zenon_intro zenon_H12e ]. % 11.33/11.52 exact (zenon_H234 zenon_H25). % 11.33/11.52 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H57 | zenon_intro zenon_H12f ]. % 11.33/11.52 apply (zenon_L554_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H6e | zenon_intro zenon_Hc3 ]. % 11.33/11.52 apply (zenon_L48_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.33/11.52 apply (zenon_L208_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.33/11.52 apply (zenon_L559_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.33/11.52 apply (zenon_L561_); trivial. % 11.33/11.52 apply (zenon_L565_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H72 ]. % 11.33/11.52 apply (zenon_L244_); trivial. % 11.33/11.52 apply (zenon_L583_); trivial. % 11.33/11.52 apply (zenon_L334_); trivial. % 11.33/11.52 (* end of lemma zenon_L584_ *) % 11.33/11.52 assert (zenon_L585_ : (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e3)) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e0) = (e2))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e0)) -> False). % 11.33/11.52 do 0 intro. intros zenon_Hfb zenon_Heb zenon_H15f zenon_He2 zenon_H10e zenon_H75 zenon_H34 zenon_Hf3 zenon_H27 zenon_H5b zenon_Hcf zenon_Hf6 zenon_Hc3. % 11.33/11.52 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hd0 | zenon_intro zenon_Hfe ]. % 11.33/11.52 apply (zenon_L231_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_He0 | zenon_intro zenon_Hff ]. % 11.33/11.52 apply (zenon_L347_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Hce | zenon_intro zenon_Hf7 ]. % 11.33/11.52 exact (zenon_Hcf zenon_Hce). % 11.33/11.52 apply (zenon_L77_); trivial. % 11.33/11.52 (* end of lemma zenon_L585_ *) % 11.33/11.52 assert (zenon_L586_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e1) (e0)) = (e3)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e3) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e2) (e0)) = (e2)) -> (~((e0) = (e2))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False). % 11.33/11.52 do 0 intro. intros zenon_H69 zenon_H16c zenon_H2c zenon_H10b zenon_Hc3 zenon_Hf6 zenon_Hf3 zenon_H34 zenon_H75 zenon_H10e zenon_He2 zenon_H15f zenon_Heb zenon_Hfb zenon_Hfa zenon_Hb5 zenon_H27 zenon_H1e zenon_Hcb zenon_Hcf zenon_H255 zenon_H16e zenon_H90 zenon_H61 zenon_Hed zenon_H13a. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H58 | zenon_intro zenon_H6a ]. % 11.33/11.52 apply (zenon_L343_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6c | zenon_intro zenon_H6b ]. % 11.33/11.52 apply (zenon_L353_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H5b | zenon_intro zenon_H62 ]. % 11.33/11.52 apply (zenon_L585_); trivial. % 11.33/11.52 apply (zenon_L555_); trivial. % 11.33/11.52 (* end of lemma zenon_L586_ *) % 11.33/11.52 assert (zenon_L587_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e3) (e0)) = (e3))) -> False). % 11.33/11.52 do 0 intro. intros zenon_H161 zenon_H38 zenon_Heb zenon_H15f zenon_He2 zenon_H10e zenon_Hd0 zenon_H34 zenon_Hf3 zenon_H41 zenon_Hb5 zenon_H252. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ]. % 11.33/11.52 exact (zenon_H38 zenon_H33). % 11.33/11.52 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ]. % 11.33/11.52 apply (zenon_L231_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ]. % 11.33/11.52 apply (zenon_L233_); trivial. % 11.33/11.52 exact (zenon_H252 zenon_H15e). % 11.33/11.52 (* end of lemma zenon_L587_ *) % 11.33/11.52 assert (zenon_L588_ : ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((e0) = (e2))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e3) (e0)) = (e3))) -> False). % 11.33/11.52 do 0 intro. intros zenon_Hc3 zenon_Hf6 zenon_Hcf zenon_H69 zenon_H16c zenon_H27 zenon_H61 zenon_H3f zenon_H161 zenon_H38 zenon_Heb zenon_H15f zenon_He2 zenon_H10e zenon_H34 zenon_Hf3 zenon_Hfb zenon_H41 zenon_Hb5 zenon_H252. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ]. % 11.33/11.52 exact (zenon_H38 zenon_H33). % 11.33/11.52 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ]. % 11.33/11.52 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hd0 | zenon_intro zenon_Hfe ]. % 11.33/11.52 apply (zenon_L587_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_He0 | zenon_intro zenon_Hff ]. % 11.33/11.52 apply (zenon_L348_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Hce | zenon_intro zenon_Hf7 ]. % 11.33/11.52 exact (zenon_Hcf zenon_Hce). % 11.33/11.52 apply (zenon_L77_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ]. % 11.33/11.52 apply (zenon_L233_); trivial. % 11.33/11.52 exact (zenon_H252 zenon_H15e). % 11.33/11.52 (* end of lemma zenon_L588_ *) % 11.33/11.52 assert (zenon_L589_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((e0) = (e1))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((e0) = (e2))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e3) (e0)) = (e3))) -> False). % 11.33/11.52 do 0 intro. intros zenon_H12d zenon_H234 zenon_H19c zenon_H65 zenon_Hc0 zenon_H20 zenon_H3c zenon_H4c zenon_H49 zenon_H1aa zenon_H10b zenon_Hfa zenon_H1e zenon_Hcb zenon_H255 zenon_H16e zenon_H90 zenon_H13a zenon_Hed zenon_Hf6 zenon_Hcf zenon_H69 zenon_H16c zenon_H27 zenon_H61 zenon_H161 zenon_H38 zenon_Heb zenon_H15f zenon_He2 zenon_H10e zenon_H34 zenon_Hf3 zenon_Hfb zenon_H41 zenon_Hb5 zenon_H252. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H25 | zenon_intro zenon_H12e ]. % 11.33/11.52 exact (zenon_H234 zenon_H25). % 11.33/11.52 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H57 | zenon_intro zenon_H12f ]. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.33/11.52 apply (zenon_L566_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.33/11.52 apply (zenon_L2_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.33/11.52 apply (zenon_L579_); trivial. % 11.33/11.52 apply (zenon_L127_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H6e | zenon_intro zenon_Hc3 ]. % 11.33/11.52 apply (zenon_L48_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.33/11.52 apply (zenon_L208_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ]. % 11.33/11.52 exact (zenon_H38 zenon_H33). % 11.33/11.52 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ]. % 11.33/11.52 apply (zenon_L586_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ]. % 11.33/11.52 apply (zenon_L233_); trivial. % 11.33/11.52 exact (zenon_H252 zenon_H15e). % 11.33/11.52 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.33/11.52 apply (zenon_L561_); trivial. % 11.33/11.52 apply (zenon_L588_); trivial. % 11.33/11.52 (* end of lemma zenon_L589_ *) % 11.33/11.52 assert (zenon_L590_ : ((((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))\/((((op (e1) (e1)) = (e1))/\(((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0)))/\(((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1)))/\(((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2)))/\((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3)))))))\/((((op (e2) (e2)) = (e2))/\(((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0)))/\(((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3)))))))\/(((op (e3) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3)))))))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e0) = (e1))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e3) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> False). % 11.33/11.52 do 0 intro. intros zenon_H1b0 zenon_H101 zenon_H251 zenon_H1d8 zenon_Hf0 zenon_H236 zenon_H216 zenon_H22e zenon_H1ca zenon_H19f zenon_Had zenon_H5c zenon_H157 zenon_H11b zenon_Hc4 zenon_H234 zenon_H12d zenon_H1aa zenon_H207 zenon_H92 zenon_H16c zenon_Hfa zenon_H16e zenon_H61 zenon_H13a zenon_H255 zenon_Hcf zenon_Hcb zenon_H69 zenon_H20 zenon_H16a zenon_H1f3 zenon_H222 zenon_He5 zenon_H223 zenon_H3c zenon_H141 zenon_H8d zenon_H117 zenon_H113 zenon_H10e zenon_Heb zenon_Hf3 zenon_H44 zenon_Hf6 zenon_Hfb zenon_H49 zenon_H27 zenon_H34 zenon_H41 zenon_Hb5 zenon_H252 zenon_H161 zenon_He3 zenon_H167 zenon_H210 zenon_H1d5 zenon_H212 zenon_Hb0 zenon_H10b zenon_H1df zenon_H226 zenon_H15d zenon_Hb7 zenon_H19c zenon_Hc0 zenon_H65 zenon_H4c zenon_H1f0 zenon_H194 zenon_H95 zenon_H154 zenon_H197 zenon_H71 zenon_H30 zenon_H18f. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H51 | zenon_intro zenon_H1b1 ]. % 11.33/11.52 apply (zenon_L458_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H53 | zenon_intro zenon_H1b2 ]. % 11.33/11.52 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H56. zenon_intro zenon_H55. % 11.33/11.52 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H1c0. zenon_intro zenon_H1bf. % 11.33/11.52 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_H1fd. zenon_intro zenon_H1fc. % 11.33/11.52 apply (zenon_and_s _ _ zenon_H1fc). zenon_intro zenon_H1ff. zenon_intro zenon_H1fe. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H1c0); [ zenon_intro zenon_H4d | zenon_intro zenon_H1e ]. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H11c | zenon_intro zenon_Hc7 ]. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e5 | zenon_intro zenon_H147 ]. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H25 | zenon_intro zenon_H190 ]. % 11.33/11.52 exact (zenon_H234 zenon_H25). % 11.33/11.52 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H1e | zenon_intro zenon_H191 ]. % 11.33/11.52 apply (zenon_L533_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H72 ]. % 11.33/11.52 apply (zenon_L537_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H25 | zenon_intro zenon_H12e ]. % 11.33/11.52 exact (zenon_H234 zenon_H25). % 11.33/11.52 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H57 | zenon_intro zenon_H12f ]. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.33/11.52 exact (zenon_H4d zenon_H4f). % 11.33/11.52 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.33/11.52 apply (zenon_L223_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.33/11.52 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ]. % 11.33/11.52 exact (zenon_H4d zenon_H4f). % 11.33/11.52 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ]. % 11.33/11.52 apply (zenon_L459_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ]. % 11.33/11.52 apply (zenon_L108_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.33/11.52 apply (zenon_L208_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H75 | zenon_intro zenon_H8e ]. % 11.33/11.52 apply (zenon_L118_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H78 | zenon_intro zenon_H8f ]. % 11.33/11.52 apply (zenon_L510_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H8b ]. % 11.33/11.52 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hd0 | zenon_intro zenon_Hfe ]. % 11.33/11.52 apply (zenon_L297_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_He0 | zenon_intro zenon_Hff ]. % 11.33/11.52 apply (zenon_L69_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Hce | zenon_intro zenon_Hf7 ]. % 11.33/11.52 exact (zenon_Hcf zenon_Hce). % 11.33/11.52 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H9a | zenon_intro zenon_Hb2 ]. % 11.33/11.52 apply (zenon_L538_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Hb3 ]. % 11.33/11.52 apply (zenon_L355_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_Hae | zenon_intro zenon_Hb4 ]. % 11.33/11.52 apply (zenon_L543_); trivial. % 11.33/11.52 apply (zenon_L541_); trivial. % 11.33/11.52 apply (zenon_L544_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.33/11.52 apply (zenon_L6_); trivial. % 11.33/11.52 apply (zenon_L180_); trivial. % 11.33/11.52 apply (zenon_L536_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H6e | zenon_intro zenon_Hc3 ]. % 11.33/11.52 apply (zenon_L48_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.33/11.52 exact (zenon_H4d zenon_H4f). % 11.33/11.52 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.33/11.52 apply (zenon_L223_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.33/11.52 apply (zenon_L208_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_H2f | zenon_intro zenon_H1a0 ]. % 11.33/11.52 apply (zenon_L6_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5b | zenon_intro zenon_H1a1 ]. % 11.33/11.52 apply (zenon_L545_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_H5a | zenon_intro zenon_Hae ]. % 11.33/11.52 apply (zenon_L50_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H15e | zenon_intro zenon_H253 ]. % 11.33/11.52 exact (zenon_H252 zenon_H15e). % 11.33/11.52 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ]. % 11.33/11.52 apply (zenon_L552_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_Hec | zenon_intro zenon_Hed ]. % 11.33/11.52 apply (zenon_L271_); trivial. % 11.33/11.52 apply (zenon_L435_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.33/11.52 apply (zenon_L6_); trivial. % 11.33/11.52 apply (zenon_L180_); trivial. % 11.33/11.52 apply (zenon_L182_); trivial. % 11.33/11.52 apply (zenon_L552_); trivial. % 11.33/11.52 apply (zenon_L532_); trivial. % 11.33/11.52 apply (zenon_L533_); trivial. % 11.33/11.52 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H132 | zenon_intro zenon_H15f ]. % 11.33/11.52 apply (zenon_L553_); trivial. % 11.33/11.52 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_Hed. zenon_intro zenon_H160. % 11.33/11.52 apply (zenon_and_s _ _ zenon_H160). zenon_intro zenon_H1b4. zenon_intro zenon_H1b3. % 11.33/11.53 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_H1b6. zenon_intro zenon_H1b5. % 11.33/11.53 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H18e. zenon_intro zenon_H1b7. % 11.33/11.53 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H38 | zenon_intro zenon_H72 ]. % 11.33/11.53 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H79 | zenon_intro zenon_H90 ]. % 11.33/11.53 apply (zenon_L584_); trivial. % 11.33/11.53 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_He2 | zenon_intro zenon_H18a ]. % 11.33/11.53 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H25 | zenon_intro zenon_H190 ]. % 11.33/11.53 exact (zenon_H234 zenon_H25). % 11.33/11.53 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H1e | zenon_intro zenon_H191 ]. % 11.33/11.53 apply (zenon_L589_); trivial. % 11.33/11.53 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H72 ]. % 11.33/11.53 apply (zenon_L244_); trivial. % 11.33/11.53 apply (zenon_L339_); trivial. % 11.33/11.53 apply (zenon_L334_); trivial. % 11.33/11.53 apply (zenon_L583_); trivial. % 11.33/11.53 (* end of lemma zenon_L590_ *) % 11.33/11.53 assert (zenon_L591_ : ((op (e0) (e3)) = (e0)) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e1) (e1)) = (e0))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e1)) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((e0) = (e1))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))\/((((op (e1) (e1)) = (e1))/\(((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0)))/\(((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1)))/\(((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2)))/\((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3)))))))\/((((op (e2) (e2)) = (e2))/\(((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0)))/\(((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3)))))))\/(((op (e3) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3)))))))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False). % 11.33/11.53 do 0 intro. intros zenon_H72 zenon_H203 zenon_H207 zenon_H6e zenon_Hc4 zenon_Hf3 zenon_H3c zenon_H2e zenon_H27 zenon_H236 zenon_H34 zenon_H41 zenon_He3 zenon_H141 zenon_H13a zenon_Hf0 zenon_Heb zenon_H20 zenon_H113 zenon_H1b0 zenon_H101 zenon_H251 zenon_H1d8 zenon_H216 zenon_H22e zenon_H1ca zenon_H19f zenon_Had zenon_H157 zenon_H11b zenon_H234 zenon_H12d zenon_H1aa zenon_H92 zenon_H16c zenon_Hfa zenon_H16e zenon_H255 zenon_Hcf zenon_Hcb zenon_H16a zenon_H1f3 zenon_H222 zenon_He5 zenon_H223 zenon_H8d zenon_H117 zenon_H10e zenon_H44 zenon_Hf6 zenon_Hfb zenon_H49 zenon_H252 zenon_H161 zenon_H167 zenon_H210 zenon_H1d5 zenon_H212 zenon_Hb0 zenon_H10b zenon_H1df zenon_H226 zenon_H15d zenon_Hb7 zenon_H19c zenon_Hc0 zenon_H4c zenon_H1f0 zenon_H194 zenon_H95 zenon_H154 zenon_H197 zenon_H71 zenon_H18f zenon_H2b zenon_Hb8 zenon_H65 zenon_H69 zenon_H30 zenon_H6d zenon_H68 zenon_H5c zenon_H5a zenon_H61. % 11.33/11.53 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.33/11.53 exact (zenon_H2b zenon_H26). % 11.33/11.53 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.33/11.53 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ]. % 11.33/11.53 exact (zenon_H2b zenon_H26). % 11.33/11.53 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ]. % 11.33/11.53 apply (zenon_L26_); trivial. % 11.33/11.53 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ]. % 11.33/11.53 apply (zenon_L590_); trivial. % 11.33/11.53 apply (zenon_L469_); trivial. % 11.33/11.53 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.33/11.53 apply (zenon_L23_); trivial. % 11.33/11.53 apply (zenon_L27_); trivial. % 11.33/11.53 (* end of lemma zenon_L591_ *) % 11.33/11.53 assert (zenon_L592_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e1) = (e3))) -> ((op (e1) (e0)) = (e1)) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (e0))) -> ((op (e0) (e1)) = (e3)) -> (~((e0) = (e3))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e3) (e0)) = (e3))) -> False). % 11.38/11.53 do 0 intro. intros zenon_H161 zenon_H38 zenon_H3c zenon_H6d zenon_Hc3 zenon_H16a zenon_H19f zenon_H27 zenon_H5c zenon_H18a zenon_H192 zenon_H19c zenon_Hd0 zenon_H65 zenon_Had zenon_Hc0 zenon_H207 zenon_H39 zenon_H34 zenon_H203 zenon_H252. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ]. % 11.38/11.53 exact (zenon_H38 zenon_H33). % 11.38/11.53 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ]. % 11.38/11.53 apply (zenon_L123_); trivial. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ]. % 11.38/11.53 apply (zenon_L518_); trivial. % 11.38/11.53 exact (zenon_H252 zenon_H15e). % 11.38/11.53 (* end of lemma zenon_L592_ *) % 11.38/11.53 assert (zenon_L593_ : (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e1) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e3) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> ((op (e2) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e0)) = (e1)) -> (~((e1) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> False). % 11.38/11.53 do 0 intro. intros zenon_H18f zenon_H8d zenon_H79 zenon_H13f zenon_H13a zenon_H34 zenon_H161 zenon_H38 zenon_H3c zenon_H16a zenon_H19f zenon_H27 zenon_H5c zenon_H192 zenon_H19c zenon_H65 zenon_Had zenon_Hc0 zenon_H207 zenon_H203 zenon_H252 zenon_H44 zenon_H234 zenon_H12d zenon_H4c zenon_H187 zenon_H71 zenon_H141 zenon_Hed zenon_H18a zenon_H117 zenon_H61 zenon_H154 zenon_H101 zenon_H1d5 zenon_H210 zenon_H23c zenon_H6d zenon_H30 zenon_He5 zenon_H212 zenon_H1f0 zenon_H20. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H25 | zenon_intro zenon_H190 ]. % 11.38/11.53 exact (zenon_H234 zenon_H25). % 11.38/11.53 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H1e | zenon_intro zenon_H191 ]. % 11.38/11.53 apply (zenon_L126_); trivial. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H72 ]. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H25 | zenon_intro zenon_H12e ]. % 11.38/11.53 exact (zenon_H234 zenon_H25). % 11.38/11.53 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H57 | zenon_intro zenon_H12f ]. % 11.38/11.53 apply (zenon_L423_); trivial. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H6e | zenon_intro zenon_Hc3 ]. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ]. % 11.38/11.53 exact (zenon_H38 zenon_H33). % 11.38/11.53 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ]. % 11.38/11.53 apply (zenon_L123_); trivial. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ]. % 11.38/11.53 apply (zenon_L161_); trivial. % 11.38/11.53 exact (zenon_H252 zenon_H15e). % 11.38/11.53 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.38/11.53 exact (zenon_H38 zenon_H33). % 11.38/11.53 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.38/11.53 apply (zenon_L592_); trivial. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.38/11.53 apply (zenon_L59_); trivial. % 11.38/11.53 apply (zenon_L113_); trivial. % 11.38/11.53 apply (zenon_L524_); trivial. % 11.38/11.53 (* end of lemma zenon_L593_ *) % 11.38/11.53 assert (zenon_L594_ : (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e1) = (e2))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e2) (e0)) = (e2))) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e2))) -> False). % 11.38/11.53 do 0 intro. intros zenon_Hb8 zenon_H2b zenon_H30 zenon_H6d zenon_H258 zenon_Hc3 zenon_H27. % 11.38/11.53 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ]. % 11.38/11.53 exact (zenon_H2b zenon_H26). % 11.38/11.53 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ]. % 11.38/11.53 apply (zenon_L26_); trivial. % 11.38/11.53 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ]. % 11.38/11.53 exact (zenon_H258 zenon_Hb5). % 11.38/11.53 apply (zenon_L51_); trivial. % 11.38/11.53 (* end of lemma zenon_L594_ *) % 11.38/11.53 assert (zenon_L595_ : (((op (e2) (e2)) = (e2))/\(((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0)))/\(((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e0))) -> (~((e0) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((e0) = (e2))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e1) (e0)) = (e1)) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e0))) -> False). % 11.38/11.53 do 0 intro. intros zenon_H132 zenon_H18f zenon_H4c zenon_Hb8 zenon_H203 zenon_H3c zenon_H34 zenon_H41 zenon_Hf0 zenon_He3 zenon_H141 zenon_H13a zenon_Heb zenon_H236 zenon_Hf3 zenon_Hc4 zenon_H258 zenon_H187 zenon_H12d zenon_H113 zenon_H15a zenon_H1ca zenon_H13f zenon_H207 zenon_H20 zenon_H10e zenon_H27 zenon_H65 zenon_H69 zenon_H61 zenon_H5c zenon_H6d zenon_H30 zenon_H49 zenon_H234. % 11.38/11.53 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H5a. zenon_intro zenon_H133. % 11.38/11.53 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H135. zenon_intro zenon_H134. % 11.38/11.53 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H137. zenon_intro zenon_H136. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H2b | zenon_intro zenon_Hd0 ]. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H68 | zenon_intro zenon_H88 ]. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H25 | zenon_intro zenon_H190 ]. % 11.38/11.53 exact (zenon_H234 zenon_H25). % 11.38/11.53 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H1e | zenon_intro zenon_H191 ]. % 11.38/11.53 apply (zenon_L28_); trivial. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H72 ]. % 11.38/11.53 apply (zenon_L463_); trivial. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H25 | zenon_intro zenon_H12e ]. % 11.38/11.53 exact (zenon_H234 zenon_H25). % 11.38/11.53 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H57 | zenon_intro zenon_H12f ]. % 11.38/11.53 apply (zenon_L423_); trivial. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H6e | zenon_intro zenon_Hc3 ]. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.38/11.53 apply (zenon_L179_); trivial. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.38/11.53 apply (zenon_L454_); trivial. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.38/11.53 exact (zenon_H2b zenon_H26). % 11.38/11.53 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.38/11.53 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ]. % 11.38/11.53 exact (zenon_H2b zenon_H26). % 11.38/11.53 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ]. % 11.38/11.53 apply (zenon_L26_); trivial. % 11.38/11.53 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ]. % 11.38/11.53 exact (zenon_H258 zenon_Hb5). % 11.38/11.53 apply (zenon_L469_); trivial. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.38/11.53 apply (zenon_L6_); trivial. % 11.38/11.53 apply (zenon_L180_); trivial. % 11.38/11.53 apply (zenon_L182_); trivial. % 11.38/11.53 apply (zenon_L594_); trivial. % 11.38/11.53 apply (zenon_L106_); trivial. % 11.38/11.53 apply (zenon_L463_); trivial. % 11.38/11.53 (* end of lemma zenon_L595_ *) % 11.38/11.53 assert (zenon_L596_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e3)) -> ((op (e2) (e1)) = (e0)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e1)) -> False). % 11.38/11.53 do 0 intro. intros zenon_H11b zenon_H3c zenon_H56 zenon_H157 zenon_H152 zenon_Hcc zenon_H16e zenon_H47. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H6f | zenon_intro zenon_H11d ]. % 11.38/11.53 apply (zenon_L136_); trivial. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H11e ]. % 11.38/11.53 apply (zenon_L239_); trivial. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H11f | zenon_intro zenon_H118 ]. % 11.38/11.53 apply (zenon_L242_); trivial. % 11.38/11.53 apply (zenon_L150_); trivial. % 11.38/11.53 (* end of lemma zenon_L596_ *) % 11.38/11.53 assert (zenon_L597_ : (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e0))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e3))) -> False). % 11.38/11.53 do 0 intro. intros zenon_H15a zenon_H207 zenon_Hc5 zenon_H157 zenon_H2c zenon_H10b zenon_H79. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H10c | zenon_intro zenon_H15b ]. % 11.38/11.53 exact (zenon_H207 zenon_H10c). % 11.38/11.53 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H56 | zenon_intro zenon_H15c ]. % 11.38/11.53 apply (zenon_L239_); trivial. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_H6c | zenon_intro zenon_H78 ]. % 11.38/11.53 apply (zenon_L353_); trivial. % 11.38/11.53 exact (zenon_H79 zenon_H78). % 11.38/11.53 (* end of lemma zenon_L597_ *) % 11.38/11.53 assert (zenon_L598_ : (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> ((op (e2) (e1)) = (e0)) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e1) (e1)) = (e0))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e3)) -> False). % 11.38/11.53 do 0 intro. intros zenon_H259 zenon_Hcc zenon_H79 zenon_H10b zenon_H157 zenon_Hc5 zenon_H207 zenon_H15a zenon_Hcb zenon_H145. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H1e | zenon_intro zenon_H25a ]. % 11.38/11.53 apply (zenon_L55_); trivial. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H1f | zenon_intro zenon_H25b ]. % 11.38/11.53 apply (zenon_L330_); trivial. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H2c | zenon_intro zenon_H39 ]. % 11.38/11.53 apply (zenon_L597_); trivial. % 11.38/11.53 apply (zenon_L162_); trivial. % 11.38/11.53 (* end of lemma zenon_L598_ *) % 11.38/11.53 assert (zenon_L599_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e0) (e0)) = (e2)) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e0))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e3))) -> ((op (e2) (e1)) = (e0)) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (((op (e3) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> False). % 11.38/11.53 do 0 intro. intros zenon_H148 zenon_H26 zenon_H2e zenon_Hcb zenon_H15a zenon_H207 zenon_Hc5 zenon_H157 zenon_H10b zenon_H79 zenon_Hcc zenon_H259 zenon_H15f zenon_He5. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H39 | zenon_intro zenon_H149 ]. % 11.38/11.53 apply (zenon_L156_); trivial. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H78 | zenon_intro zenon_H14a ]. % 11.38/11.53 exact (zenon_H79 zenon_H78). % 11.38/11.53 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H145 | zenon_intro zenon_H147 ]. % 11.38/11.53 apply (zenon_L598_); trivial. % 11.38/11.53 apply (zenon_L370_); trivial. % 11.38/11.53 (* end of lemma zenon_L599_ *) % 11.38/11.53 assert (zenon_L600_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e1) (e0)) = (e1)) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e1)) = (e0)) -> ((op (e2) (e0)) = (e3)) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))))))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e0)) = (e2)) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e1)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e1) (e3)) = (e0)) -> (~((e0) = (e3))) -> False). % 11.38/11.53 do 0 intro. intros zenon_H8d zenon_H6d zenon_H47 zenon_H16e zenon_Hcc zenon_H152 zenon_H22e zenon_He5 zenon_H15f zenon_H259 zenon_H79 zenon_H10b zenon_H157 zenon_H207 zenon_H15a zenon_Hcb zenon_H26 zenon_H148 zenon_H3c zenon_H1d8 zenon_He6 zenon_H11b zenon_H7a zenon_H34. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H75 | zenon_intro zenon_H8e ]. % 11.38/11.53 apply (zenon_L123_); trivial. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H78 | zenon_intro zenon_H8f ]. % 11.38/11.53 exact (zenon_H79 zenon_H78). % 11.38/11.53 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H8b ]. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H6f | zenon_intro zenon_H11d ]. % 11.38/11.53 apply (zenon_L136_); trivial. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H11e ]. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H2e | zenon_intro zenon_H22f ]. % 11.38/11.53 apply (zenon_L599_); trivial. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H88 | zenon_intro zenon_H230 ]. % 11.38/11.53 apply (zenon_L35_); trivial. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H11f | zenon_intro zenon_H1d9 ]. % 11.38/11.53 apply (zenon_L242_); trivial. % 11.38/11.53 apply (zenon_L255_); trivial. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H11f | zenon_intro zenon_H118 ]. % 11.38/11.53 apply (zenon_L242_); trivial. % 11.38/11.53 apply (zenon_L150_); trivial. % 11.38/11.53 apply (zenon_L36_); trivial. % 11.38/11.53 (* end of lemma zenon_L600_ *) % 11.38/11.53 assert (zenon_L601_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e0) = (e1))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((e1) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e0) (e0)) = (e2)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (((op (e3) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((op (e2) (e0)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e1)) -> ((op (e1) (e0)) = (e1)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e0)) -> False). % 11.38/11.53 do 0 intro. intros zenon_H113 zenon_H20 zenon_H203 zenon_H13f zenon_H141 zenon_H38 zenon_H44 zenon_H34 zenon_H11b zenon_H1d8 zenon_H3c zenon_H148 zenon_H26 zenon_Hcb zenon_H15a zenon_H207 zenon_H157 zenon_H10b zenon_H79 zenon_H259 zenon_H15f zenon_He5 zenon_H22e zenon_H152 zenon_H16e zenon_H47 zenon_H6d zenon_H8d zenon_H1a2 zenon_H258 zenon_He3 zenon_Hed zenon_H117 zenon_H194 zenon_H30 zenon_H197 zenon_H19f zenon_H27 zenon_H5c zenon_H192 zenon_H19c zenon_Hd0 zenon_H65 zenon_Had zenon_Hc0 zenon_H71 zenon_H105 zenon_H16a zenon_Hc3. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ]. % 11.38/11.53 apply (zenon_L423_); trivial. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ]. % 11.38/11.53 exact (zenon_H207 zenon_H10c). % 11.38/11.53 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ]. % 11.38/11.53 apply (zenon_L293_); trivial. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H1e | zenon_intro zenon_H204 ]. % 11.38/11.53 apply (zenon_L125_); trivial. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H10c | zenon_intro zenon_H205 ]. % 11.38/11.53 exact (zenon_H207 zenon_H10c). % 11.38/11.53 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_Hcc | zenon_intro zenon_H120 ]. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H1f | zenon_intro zenon_H107 ]. % 11.38/11.53 apply (zenon_L199_); trivial. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H56 | zenon_intro zenon_H108 ]. % 11.38/11.53 apply (zenon_L596_); trivial. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hc5 | zenon_intro zenon_He6 ]. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H1a3 ]. % 11.38/11.53 exact (zenon_H258 zenon_Hb5). % 11.38/11.53 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H1a4 ]. % 11.38/11.53 apply (zenon_L95_); trivial. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H5a | zenon_intro zenon_H18a ]. % 11.38/11.53 apply (zenon_L190_); trivial. % 11.38/11.53 apply (zenon_L428_); trivial. % 11.38/11.53 apply (zenon_L600_); trivial. % 11.38/11.53 apply (zenon_L258_); trivial. % 11.38/11.53 (* end of lemma zenon_L601_ *) % 11.38/11.53 assert (zenon_L602_ : ((~((op (e1) (e1)) = (e0)))\/(~((op (e1) (e0)) = (e1)))) -> ((~((op (e3) (e3)) = (e0)))\/(~((op (e3) (e0)) = (e3)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e0)) = (e0))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((e0) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((e0) = (e1))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))\/((((op (e1) (e1)) = (e1))/\(((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0)))/\(((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1)))/\(((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2)))/\((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3)))))))\/((((op (e2) (e2)) = (e2))/\(((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0)))/\(((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3)))))))\/(((op (e3) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3)))))))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((~((op (e2) (e2)) = (e0)))\/(~((op (e2) (e0)) = (e2)))) -> False). % 11.38/11.53 do 0 intro. intros zenon_H25c zenon_H25d zenon_H92 zenon_H255 zenon_H1df zenon_H16c zenon_H1aa zenon_H1d8 zenon_H251 zenon_Hfb zenon_H234 zenon_H6d zenon_H1ca zenon_H49 zenon_H30 zenon_H5c zenon_H61 zenon_H69 zenon_H65 zenon_H27 zenon_H10e zenon_H20 zenon_H13f zenon_H15a zenon_H113 zenon_H12d zenon_Hc0 zenon_H187 zenon_Hc4 zenon_Hf3 zenon_H236 zenon_Heb zenon_H13a zenon_H141 zenon_He3 zenon_Hf0 zenon_H41 zenon_H34 zenon_H3c zenon_H203 zenon_Hb8 zenon_H4c zenon_H18f zenon_Hcb zenon_H167 zenon_H161 zenon_Hfa zenon_H23c zenon_H154 zenon_H226 zenon_Hb9 zenon_H1e2 zenon_Hb7 zenon_H101 zenon_H1f0 zenon_H10b zenon_H11b zenon_H222 zenon_H1f3 zenon_H15d zenon_He5 zenon_H223 zenon_H228 zenon_H22e zenon_H125 zenon_H245 zenon_H122 zenon_H105 zenon_H95 zenon_H212 zenon_H242 zenon_H216 zenon_Hf6 zenon_Hb0 zenon_H1b0 zenon_H16a zenon_H1a2 zenon_H19c zenon_Had zenon_H19f zenon_H192 zenon_H194 zenon_H16e zenon_H117 zenon_H197 zenon_H157 zenon_H8d zenon_H44 zenon_H1d5 zenon_H71 zenon_H210 zenon_H259 zenon_H148 zenon_H25e. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H207 | zenon_intro zenon_H25f ]. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_Hcf | zenon_intro zenon_H258 ]. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H9e | zenon_intro zenon_H252 ]. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H51 | zenon_intro zenon_H1b1 ]. % 11.38/11.53 apply (zenon_L458_); trivial. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H53 | zenon_intro zenon_H1b2 ]. % 11.38/11.53 apply (zenon_L460_); trivial. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H132 | zenon_intro zenon_H15f ]. % 11.38/11.53 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H5a. zenon_intro zenon_H133. % 11.38/11.53 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H135. zenon_intro zenon_H134. % 11.38/11.53 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H137. zenon_intro zenon_H136. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H2b | zenon_intro zenon_Hd0 ]. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H68 | zenon_intro zenon_H88 ]. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H25 | zenon_intro zenon_H190 ]. % 11.38/11.53 exact (zenon_H234 zenon_H25). % 11.38/11.53 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H1e | zenon_intro zenon_H191 ]. % 11.38/11.53 apply (zenon_L28_); trivial. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H72 ]. % 11.38/11.53 apply (zenon_L463_); trivial. % 11.38/11.53 apply (zenon_L470_); trivial. % 11.38/11.53 apply (zenon_L106_); trivial. % 11.38/11.53 apply (zenon_L463_); trivial. % 11.38/11.53 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_Hed. zenon_intro zenon_H160. % 11.38/11.53 apply (zenon_and_s _ _ zenon_H160). zenon_intro zenon_H1b4. zenon_intro zenon_H1b3. % 11.38/11.53 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_H1b6. zenon_intro zenon_H1b5. % 11.38/11.53 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H18e. zenon_intro zenon_H1b7. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H38 | zenon_intro zenon_H72 ]. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H79 | zenon_intro zenon_H90 ]. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_He2 | zenon_intro zenon_H18a ]. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H25 | zenon_intro zenon_H190 ]. % 11.38/11.53 exact (zenon_H234 zenon_H25). % 11.38/11.53 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H1e | zenon_intro zenon_H191 ]. % 11.38/11.53 apply (zenon_L126_); trivial. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H72 ]. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H25 | zenon_intro zenon_H12e ]. % 11.38/11.53 exact (zenon_H234 zenon_H25). % 11.38/11.53 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H57 | zenon_intro zenon_H12f ]. % 11.38/11.53 apply (zenon_L423_); trivial. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H6e | zenon_intro zenon_Hc3 ]. % 11.38/11.53 apply (zenon_L237_); trivial. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.38/11.53 apply (zenon_L179_); trivial. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.38/11.53 apply (zenon_L471_); trivial. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.38/11.53 apply (zenon_L61_); trivial. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.38/11.53 exact (zenon_H38 zenon_H33). % 11.38/11.53 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ]. % 11.38/11.53 exact (zenon_H38 zenon_H33). % 11.38/11.53 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ]. % 11.38/11.53 apply (zenon_L123_); trivial. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ]. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ]. % 11.38/11.53 apply (zenon_L423_); trivial. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ]. % 11.38/11.53 exact (zenon_H207 zenon_H10c). % 11.38/11.53 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ]. % 11.38/11.53 apply (zenon_L293_); trivial. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H1e | zenon_intro zenon_H204 ]. % 11.38/11.53 apply (zenon_L8_); trivial. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H10c | zenon_intro zenon_H205 ]. % 11.38/11.53 exact (zenon_H207 zenon_H10c). % 11.38/11.53 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_Hcc | zenon_intro zenon_H120 ]. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H58 | zenon_intro zenon_H6a ]. % 11.38/11.53 apply (zenon_L26_); trivial. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6c | zenon_intro zenon_H6b ]. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H1a3 ]. % 11.38/11.53 apply (zenon_L233_); trivial. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H1a4 ]. % 11.38/11.53 apply (zenon_L139_); trivial. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H5a | zenon_intro zenon_H18a ]. % 11.38/11.53 apply (zenon_L190_); trivial. % 11.38/11.53 apply (zenon_L428_); trivial. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H5b | zenon_intro zenon_H62 ]. % 11.38/11.53 apply (zenon_L427_); trivial. % 11.38/11.53 apply (zenon_L103_); trivial. % 11.38/11.53 apply (zenon_L258_); trivial. % 11.38/11.53 apply (zenon_L515_); trivial. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.38/11.53 apply (zenon_L124_); trivial. % 11.38/11.53 apply (zenon_L14_); trivial. % 11.38/11.53 apply (zenon_L517_); trivial. % 11.38/11.53 apply (zenon_L525_); trivial. % 11.38/11.53 apply (zenon_L519_); trivial. % 11.38/11.53 apply (zenon_L526_); trivial. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H51 | zenon_intro zenon_H1b1 ]. % 11.38/11.53 apply (zenon_L458_); trivial. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H53 | zenon_intro zenon_H1b2 ]. % 11.38/11.53 apply (zenon_L460_); trivial. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H132 | zenon_intro zenon_H15f ]. % 11.38/11.53 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H5a. zenon_intro zenon_H133. % 11.38/11.53 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H135. zenon_intro zenon_H134. % 11.38/11.53 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H137. zenon_intro zenon_H136. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H2b | zenon_intro zenon_Hd0 ]. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H68 | zenon_intro zenon_H88 ]. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H25 | zenon_intro zenon_H190 ]. % 11.38/11.53 exact (zenon_H234 zenon_H25). % 11.38/11.53 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H1e | zenon_intro zenon_H191 ]. % 11.38/11.53 apply (zenon_L28_); trivial. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H72 ]. % 11.38/11.53 apply (zenon_L463_); trivial. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H25 | zenon_intro zenon_H12e ]. % 11.38/11.53 exact (zenon_H234 zenon_H25). % 11.38/11.53 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H57 | zenon_intro zenon_H12f ]. % 11.38/11.53 apply (zenon_L423_); trivial. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H6e | zenon_intro zenon_Hc3 ]. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.38/11.53 apply (zenon_L179_); trivial. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.38/11.53 apply (zenon_L454_); trivial. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.38/11.53 apply (zenon_L591_); trivial. % 11.38/11.53 apply (zenon_L182_); trivial. % 11.38/11.53 apply (zenon_L52_); trivial. % 11.38/11.53 apply (zenon_L106_); trivial. % 11.38/11.53 apply (zenon_L463_); trivial. % 11.38/11.53 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_Hed. zenon_intro zenon_H160. % 11.38/11.53 apply (zenon_and_s _ _ zenon_H160). zenon_intro zenon_H1b4. zenon_intro zenon_H1b3. % 11.38/11.53 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_H1b6. zenon_intro zenon_H1b5. % 11.38/11.53 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H18e. zenon_intro zenon_H1b7. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H38 | zenon_intro zenon_H72 ]. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H79 | zenon_intro zenon_H90 ]. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_He2 | zenon_intro zenon_H18a ]. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H25 | zenon_intro zenon_H190 ]. % 11.38/11.53 exact (zenon_H234 zenon_H25). % 11.38/11.53 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H1e | zenon_intro zenon_H191 ]. % 11.38/11.53 apply (zenon_L126_); trivial. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H72 ]. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H25 | zenon_intro zenon_H12e ]. % 11.38/11.53 exact (zenon_H234 zenon_H25). % 11.38/11.53 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H57 | zenon_intro zenon_H12f ]. % 11.38/11.53 apply (zenon_L423_); trivial. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H6e | zenon_intro zenon_Hc3 ]. % 11.38/11.53 apply (zenon_L237_); trivial. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.38/11.53 apply (zenon_L179_); trivial. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.38/11.53 apply (zenon_L471_); trivial. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.38/11.53 apply (zenon_L61_); trivial. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.38/11.53 exact (zenon_H38 zenon_H33). % 11.38/11.53 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ]. % 11.38/11.53 exact (zenon_H38 zenon_H33). % 11.38/11.53 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ]. % 11.38/11.53 apply (zenon_L231_); trivial. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ]. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ]. % 11.38/11.53 apply (zenon_L423_); trivial. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ]. % 11.38/11.53 exact (zenon_H207 zenon_H10c). % 11.38/11.53 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ]. % 11.38/11.53 apply (zenon_L516_); trivial. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H1e | zenon_intro zenon_H204 ]. % 11.38/11.53 apply (zenon_L8_); trivial. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H10c | zenon_intro zenon_H205 ]. % 11.38/11.53 exact (zenon_H207 zenon_H10c). % 11.38/11.53 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_Hcc | zenon_intro zenon_H120 ]. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H58 | zenon_intro zenon_H6a ]. % 11.38/11.53 apply (zenon_L26_); trivial. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6c | zenon_intro zenon_H6b ]. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H1a3 ]. % 11.38/11.53 apply (zenon_L584_); trivial. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H1a4 ]. % 11.38/11.53 apply (zenon_L139_); trivial. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H5a | zenon_intro zenon_H18a ]. % 11.38/11.53 apply (zenon_L190_); trivial. % 11.38/11.53 apply (zenon_L428_); trivial. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H5b | zenon_intro zenon_H62 ]. % 11.38/11.53 apply (zenon_L427_); trivial. % 11.38/11.53 apply (zenon_L103_); trivial. % 11.38/11.53 apply (zenon_L258_); trivial. % 11.38/11.53 exact (zenon_H252 zenon_H15e). % 11.38/11.53 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.38/11.53 apply (zenon_L59_); trivial. % 11.38/11.53 apply (zenon_L113_); trivial. % 11.38/11.53 apply (zenon_L517_); trivial. % 11.38/11.53 apply (zenon_L593_); trivial. % 11.38/11.53 apply (zenon_L519_); trivial. % 11.38/11.53 apply (zenon_L526_); trivial. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H9e | zenon_intro zenon_H252 ]. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H51 | zenon_intro zenon_H1b1 ]. % 11.38/11.53 apply (zenon_L458_); trivial. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H53 | zenon_intro zenon_H1b2 ]. % 11.38/11.53 apply (zenon_L460_); trivial. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H132 | zenon_intro zenon_H15f ]. % 11.38/11.53 apply (zenon_L595_); trivial. % 11.38/11.53 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_Hed. zenon_intro zenon_H160. % 11.38/11.53 apply (zenon_and_s _ _ zenon_H160). zenon_intro zenon_H1b4. zenon_intro zenon_H1b3. % 11.38/11.53 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_H1b6. zenon_intro zenon_H1b5. % 11.38/11.53 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H18e. zenon_intro zenon_H1b7. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H38 | zenon_intro zenon_H72 ]. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H79 | zenon_intro zenon_H90 ]. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_He2 | zenon_intro zenon_H18a ]. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H25 | zenon_intro zenon_H190 ]. % 11.38/11.53 exact (zenon_H234 zenon_H25). % 11.38/11.53 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H1e | zenon_intro zenon_H191 ]. % 11.38/11.53 apply (zenon_L126_); trivial. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H72 ]. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H25 | zenon_intro zenon_H12e ]. % 11.38/11.53 exact (zenon_H234 zenon_H25). % 11.38/11.53 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H57 | zenon_intro zenon_H12f ]. % 11.38/11.53 apply (zenon_L423_); trivial. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H6e | zenon_intro zenon_Hc3 ]. % 11.38/11.53 apply (zenon_L237_); trivial. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.38/11.53 apply (zenon_L179_); trivial. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.38/11.53 apply (zenon_L471_); trivial. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.38/11.53 apply (zenon_L61_); trivial. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ]. % 11.38/11.53 exact (zenon_H38 zenon_H33). % 11.38/11.53 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ]. % 11.38/11.53 apply (zenon_L123_); trivial. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ]. % 11.38/11.53 apply (zenon_L601_); trivial. % 11.38/11.53 apply (zenon_L201_); trivial. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.38/11.53 apply (zenon_L66_); trivial. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.38/11.53 apply (zenon_L57_); trivial. % 11.38/11.53 apply (zenon_L15_); trivial. % 11.38/11.53 apply (zenon_L526_); trivial. % 11.38/11.53 apply (zenon_L525_); trivial. % 11.38/11.53 apply (zenon_L519_); trivial. % 11.38/11.53 apply (zenon_L526_); trivial. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H51 | zenon_intro zenon_H1b1 ]. % 11.38/11.53 apply (zenon_L458_); trivial. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H53 | zenon_intro zenon_H1b2 ]. % 11.38/11.53 apply (zenon_L460_); trivial. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H132 | zenon_intro zenon_H15f ]. % 11.38/11.53 apply (zenon_L595_); trivial. % 11.38/11.53 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_Hed. zenon_intro zenon_H160. % 11.38/11.53 apply (zenon_and_s _ _ zenon_H160). zenon_intro zenon_H1b4. zenon_intro zenon_H1b3. % 11.38/11.53 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_H1b6. zenon_intro zenon_H1b5. % 11.38/11.53 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H18e. zenon_intro zenon_H1b7. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H38 | zenon_intro zenon_H72 ]. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H79 | zenon_intro zenon_H90 ]. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_He2 | zenon_intro zenon_H18a ]. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H25 | zenon_intro zenon_H190 ]. % 11.38/11.53 exact (zenon_H234 zenon_H25). % 11.38/11.53 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H1e | zenon_intro zenon_H191 ]. % 11.38/11.53 apply (zenon_L126_); trivial. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H72 ]. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H25 | zenon_intro zenon_H12e ]. % 11.38/11.53 exact (zenon_H234 zenon_H25). % 11.38/11.53 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H57 | zenon_intro zenon_H12f ]. % 11.38/11.53 apply (zenon_L423_); trivial. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H6e | zenon_intro zenon_Hc3 ]. % 11.38/11.53 apply (zenon_L237_); trivial. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.38/11.53 apply (zenon_L179_); trivial. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.38/11.53 apply (zenon_L471_); trivial. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.38/11.53 apply (zenon_L61_); trivial. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ]. % 11.38/11.53 exact (zenon_H38 zenon_H33). % 11.38/11.53 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ]. % 11.38/11.53 apply (zenon_L231_); trivial. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ]. % 11.38/11.53 apply (zenon_L601_); trivial. % 11.38/11.53 exact (zenon_H252 zenon_H15e). % 11.38/11.53 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.38/11.53 apply (zenon_L285_); trivial. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.38/11.53 apply (zenon_L57_); trivial. % 11.38/11.53 apply (zenon_L15_); trivial. % 11.38/11.53 apply (zenon_L526_); trivial. % 11.38/11.53 apply (zenon_L593_); trivial. % 11.38/11.53 apply (zenon_L519_); trivial. % 11.38/11.53 apply (zenon_L526_); trivial. % 11.38/11.53 exact (zenon_H25f zenon_H6d). % 11.38/11.53 (* end of lemma zenon_L602_ *) % 11.38/11.53 assert (zenon_L603_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (e0))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e0)) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e0) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> ((op (e1) (e2)) = (e1)) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e2))) -> False). % 11.38/11.53 do 0 intro. intros zenon_Hb7 zenon_Hc4 zenon_H69 zenon_H15d zenon_Hfb zenon_H260 zenon_H154 zenon_H61 zenon_H148 zenon_H1a2 zenon_H226 zenon_H167 zenon_H1c1 zenon_H117 zenon_H49 zenon_H161 zenon_H38 zenon_H16a zenon_H15a zenon_H14f zenon_H157 zenon_H68 zenon_H79 zenon_H216 zenon_H105 zenon_H20 zenon_H122 zenon_H1e2 zenon_H1f3 zenon_He5 zenon_H15f zenon_H222 zenon_H1d8 zenon_H223 zenon_H194 zenon_H16e zenon_H95 zenon_H71 zenon_H141 zenon_H8d zenon_H25 zenon_H27 zenon_Hb8 zenon_He3 zenon_H34 zenon_H113 zenon_Hed zenon_Heb zenon_He2 zenon_H88 zenon_H3c zenon_H41 zenon_Hf3 zenon_H47 zenon_H30. % 11.38/11.53 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ]. % 11.38/11.53 apply (zenon_L129_); trivial. % 11.38/11.53 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ]. % 11.38/11.53 apply (zenon_L325_); trivial. % 11.38/11.53 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ]. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.38/11.53 apply (zenon_L3_); trivial. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.38/11.53 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ]. % 11.38/11.53 apply (zenon_L3_); trivial. % 11.38/11.53 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ]. % 11.38/11.53 apply (zenon_L352_); trivial. % 11.38/11.53 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ]. % 11.38/11.53 apply (zenon_L108_); trivial. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H1f | zenon_intro zenon_H107 ]. % 11.38/11.53 apply (zenon_L211_); trivial. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H56 | zenon_intro zenon_H108 ]. % 11.38/11.53 apply (zenon_L304_); trivial. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hc5 | zenon_intro zenon_He6 ]. % 11.38/11.53 apply (zenon_L53_); trivial. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H58 | zenon_intro zenon_H6a ]. % 11.38/11.53 apply (zenon_L352_); trivial. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6c | zenon_intro zenon_H6b ]. % 11.38/11.53 exact (zenon_H68 zenon_H6c). % 11.38/11.53 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H5b | zenon_intro zenon_H62 ]. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H39 | zenon_intro zenon_H149 ]. % 11.38/11.53 apply (zenon_L65_); trivial. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H78 | zenon_intro zenon_H14a ]. % 11.38/11.53 exact (zenon_H79 zenon_H78). % 11.38/11.53 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H145 | zenon_intro zenon_H147 ]. % 11.38/11.53 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hd0 | zenon_intro zenon_Hfe ]. % 11.38/11.53 exact (zenon_H260 zenon_Hd0). % 11.38/11.53 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_He0 | zenon_intro zenon_Hff ]. % 11.38/11.53 apply (zenon_L347_); trivial. % 11.38/11.53 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Hce | zenon_intro zenon_Hf7 ]. % 11.38/11.53 apply (zenon_L174_); trivial. % 11.38/11.53 apply (zenon_L359_); trivial. % 11.38/11.53 apply (zenon_L157_); trivial. % 11.38/11.53 apply (zenon_L362_); trivial. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.38/11.53 apply (zenon_L171_); trivial. % 11.38/11.53 apply (zenon_L15_); trivial. % 11.38/11.53 apply (zenon_L374_); trivial. % 11.38/11.53 (* end of lemma zenon_L603_ *) % 11.38/11.53 assert (zenon_L604_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e0) (e0)) = (e0)) -> (~((e1) = (e2))) -> ((op (e0) (e1)) = (e1)) -> ((op (e3) (e3)) = (e3)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> ((op (e1) (e2)) = (e1)) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e2))) -> False). % 11.38/11.53 do 0 intro. intros zenon_H49 zenon_H25 zenon_H30 zenon_H1f zenon_Hed zenon_Heb zenon_He2 zenon_H88 zenon_H3c zenon_H41 zenon_Hf3 zenon_H72 zenon_H27. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.38/11.53 apply (zenon_L3_); trivial. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.38/11.53 apply (zenon_L211_); trivial. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.38/11.53 apply (zenon_L171_); trivial. % 11.38/11.53 apply (zenon_L180_); trivial. % 11.38/11.53 (* end of lemma zenon_L604_ *) % 11.38/11.53 assert (zenon_L605_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e0) (e0)) = (e1)) -> (~((e1) = (e2))) -> ((op (e0) (e1)) = (e1)) -> ((op (e3) (e3)) = (e3)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> ((op (e1) (e2)) = (e1)) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e2))) -> False). % 11.38/11.53 do 0 intro. intros zenon_H49 zenon_H4f zenon_H30 zenon_H1f zenon_Hed zenon_Heb zenon_He2 zenon_H88 zenon_H3c zenon_H41 zenon_Hf3 zenon_H72 zenon_H27. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.38/11.53 apply (zenon_L160_); trivial. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.38/11.53 apply (zenon_L211_); trivial. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.38/11.53 apply (zenon_L171_); trivial. % 11.38/11.53 apply (zenon_L180_); trivial. % 11.38/11.53 (* end of lemma zenon_L605_ *) % 11.38/11.53 assert (zenon_L606_ : (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (e0))) -> (~((e0) = (e2))) -> ((op (e1) (e2)) = (e2)) -> ((op (e2) (e1)) = (e3)) -> ((op (e2) (e0)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e0)) -> False). % 11.38/11.53 do 0 intro. intros zenon_Hfb zenon_H260 zenon_H27 zenon_H5b zenon_H145 zenon_H6f zenon_Hf6 zenon_Hc3. % 11.38/11.53 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hd0 | zenon_intro zenon_Hfe ]. % 11.38/11.53 exact (zenon_H260 zenon_Hd0). % 11.38/11.53 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_He0 | zenon_intro zenon_Hff ]. % 11.38/11.53 apply (zenon_L347_); trivial. % 11.38/11.53 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Hce | zenon_intro zenon_Hf7 ]. % 11.38/11.53 apply (zenon_L174_); trivial. % 11.38/11.53 apply (zenon_L77_); trivial. % 11.38/11.53 (* end of lemma zenon_L606_ *) % 11.38/11.53 assert (zenon_L607_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e1) (e1)) = (e3))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e2) (e0)) = (e1)) -> ((op (e1) (e2)) = (e2)) -> (~((e0) = (e2))) -> (~((op (e0) (e2)) = (e0))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e1) = (e3))) -> ((op (e3) (e1)) = (e1)) -> False). % 11.38/11.53 do 0 intro. intros zenon_H148 zenon_H41 zenon_H2c zenon_H79 zenon_Hc3 zenon_Hf6 zenon_H6f zenon_H5b zenon_H27 zenon_H260 zenon_Hfb zenon_H3c zenon_He6. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H39 | zenon_intro zenon_H149 ]. % 11.38/11.53 apply (zenon_L65_); trivial. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H78 | zenon_intro zenon_H14a ]. % 11.38/11.53 exact (zenon_H79 zenon_H78). % 11.38/11.53 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H145 | zenon_intro zenon_H147 ]. % 11.38/11.53 apply (zenon_L606_); trivial. % 11.38/11.53 apply (zenon_L157_); trivial. % 11.38/11.53 (* end of lemma zenon_L607_ *) % 11.38/11.53 assert (zenon_L608_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> ((op (e1) (e1)) = (e0)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (e2))) -> (~((e1) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (e0))) -> (~((e0) = (e2))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e1) (e1)) = (e3))) -> ((op (e0) (e1)) = (e2)) -> (~((e2) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False). % 11.38/11.53 do 0 intro. intros zenon_H105 zenon_H30 zenon_H216 zenon_H88 zenon_Hc4 zenon_H69 zenon_H141 zenon_Hed zenon_H10c zenon_H8d zenon_H68 zenon_H3c zenon_Hfb zenon_H260 zenon_H27 zenon_H6f zenon_Hf6 zenon_Hc3 zenon_H79 zenon_H2c zenon_H41 zenon_H148 zenon_H18a zenon_H117. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H1f | zenon_intro zenon_H107 ]. % 11.38/11.53 apply (zenon_L211_); trivial. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H56 | zenon_intro zenon_H108 ]. % 11.38/11.53 apply (zenon_L304_); trivial. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hc5 | zenon_intro zenon_He6 ]. % 11.38/11.53 apply (zenon_L53_); trivial. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H58 | zenon_intro zenon_H6a ]. % 11.38/11.53 apply (zenon_L292_); trivial. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6c | zenon_intro zenon_H6b ]. % 11.38/11.53 exact (zenon_H68 zenon_H6c). % 11.38/11.53 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H5b | zenon_intro zenon_H62 ]. % 11.38/11.53 apply (zenon_L607_); trivial. % 11.38/11.53 apply (zenon_L332_); trivial. % 11.38/11.53 (* end of lemma zenon_L608_ *) % 11.38/11.53 assert (zenon_L609_ : (~((e2) = (e3))) -> ((op (e3) (e1)) = (e3)) -> ((op (e3) (e1)) = (e2)) -> False). % 11.38/11.53 do 0 intro. intros zenon_H41 zenon_H147 zenon_Ha4. % 11.38/11.53 cut (((op (e3) (e1)) = (e3)) = ((e2) = (e3))). % 11.38/11.53 intro zenon_D_pnotp. % 11.38/11.53 apply zenon_H41. % 11.38/11.53 rewrite <- zenon_D_pnotp. % 11.38/11.53 exact zenon_H147. % 11.38/11.53 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H36]. % 11.38/11.53 cut (((op (e3) (e1)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H121]. % 11.38/11.53 congruence. % 11.38/11.53 exact (zenon_H121 zenon_Ha4). % 11.38/11.53 apply zenon_H36. apply refl_equal. % 11.38/11.53 (* end of lemma zenon_L609_ *) % 11.38/11.53 assert (zenon_L610_ : (~((e2) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (e0))) -> (~((e0) = (e2))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e1) (e1)) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (~((e1) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e1)) = (e2))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e1)) = (e0)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False). % 11.38/11.53 do 0 intro. intros zenon_H41 zenon_Hfb zenon_H260 zenon_H27 zenon_H6f zenon_Hf6 zenon_Hc3 zenon_H79 zenon_H1f zenon_H3c zenon_H148 zenon_He5 zenon_Hed zenon_H68 zenon_H105 zenon_H30 zenon_H216 zenon_H88 zenon_Hc4 zenon_H69 zenon_H141 zenon_H10c zenon_H8d zenon_H106 zenon_H18a zenon_H117. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H58 | zenon_intro zenon_H6a ]. % 11.38/11.53 apply (zenon_L292_); trivial. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6c | zenon_intro zenon_H6b ]. % 11.38/11.53 exact (zenon_H68 zenon_H6c). % 11.38/11.53 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H5b | zenon_intro zenon_H62 ]. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H2c | zenon_intro zenon_H109 ]. % 11.38/11.53 apply (zenon_L608_); trivial. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H6c | zenon_intro zenon_H10a ]. % 11.38/11.53 exact (zenon_H68 zenon_H6c). % 11.38/11.53 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Ha4 ]. % 11.38/11.53 apply (zenon_L133_); trivial. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H39 | zenon_intro zenon_H149 ]. % 11.38/11.53 apply (zenon_L130_); trivial. % 11.38/11.53 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H78 | zenon_intro zenon_H14a ]. % 11.38/11.53 exact (zenon_H79 zenon_H78). % 11.38/11.53 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H145 | zenon_intro zenon_H147 ]. % 11.38/11.53 apply (zenon_L606_); trivial. % 11.38/11.53 apply (zenon_L609_); trivial. % 11.38/11.53 apply (zenon_L332_); trivial. % 11.38/11.53 (* end of lemma zenon_L610_ *) % 11.38/11.53 assert (zenon_L611_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e0) (e0)) = (e2)) -> ((op (e0) (e2)) = (e1)) -> (~((op (e1) (e1)) = (e3))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e2) (e0)) = (e1)) -> ((op (e1) (e2)) = (e2)) -> (~((e0) = (e2))) -> (~((op (e0) (e2)) = (e0))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e2) = (e3))) -> ((op (e3) (e1)) = (e2)) -> False). % 11.38/11.53 do 0 intro. intros zenon_H148 zenon_H26 zenon_H2e zenon_H79 zenon_Hc3 zenon_Hf6 zenon_H6f zenon_H5b zenon_H27 zenon_H260 zenon_Hfb zenon_H41 zenon_Ha4. % 11.38/11.54 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H39 | zenon_intro zenon_H149 ]. % 11.38/11.54 apply (zenon_L156_); trivial. % 11.38/11.54 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H78 | zenon_intro zenon_H14a ]. % 11.38/11.54 exact (zenon_H79 zenon_H78). % 11.38/11.54 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H145 | zenon_intro zenon_H147 ]. % 11.38/11.54 apply (zenon_L606_); trivial. % 11.38/11.54 apply (zenon_L609_); trivial. % 11.38/11.54 (* end of lemma zenon_L611_ *) % 11.38/11.54 assert (zenon_L612_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e1)) = (e2))) -> ((op (e3) (e1)) = (e1)) -> (~((e1) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e0) (e0)) = (e2)) -> ((op (e0) (e2)) = (e1)) -> (~((op (e1) (e1)) = (e3))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e2) (e0)) = (e1)) -> ((op (e1) (e2)) = (e2)) -> (~((e0) = (e2))) -> (~((op (e0) (e2)) = (e0))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e2) = (e3))) -> False). % 11.38/11.54 do 0 intro. intros zenon_H106 zenon_H68 zenon_He6 zenon_H3c zenon_H148 zenon_H26 zenon_H2e zenon_H79 zenon_Hc3 zenon_Hf6 zenon_H6f zenon_H5b zenon_H27 zenon_H260 zenon_Hfb zenon_H41. % 11.38/11.54 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H2c | zenon_intro zenon_H109 ]. % 11.38/11.54 apply (zenon_L607_); trivial. % 11.38/11.54 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H6c | zenon_intro zenon_H10a ]. % 11.38/11.54 exact (zenon_H68 zenon_H6c). % 11.38/11.54 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Ha4 ]. % 11.38/11.54 apply (zenon_L158_); trivial. % 11.38/11.54 apply (zenon_L611_); trivial. % 11.38/11.54 (* end of lemma zenon_L612_ *) % 11.38/11.54 assert (zenon_L613_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e1) (e1)) = (e3))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e2) (e0)) = (e1)) -> (~((e0) = (e2))) -> (~((op (e0) (e2)) = (e0))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e1) = (e3))) -> (~((op (e1) (e1)) = (e2))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((e1) = (e2))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> ((op (e1) (e2)) = (e1)) -> (~((e0) = (e1))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False). % 11.38/11.54 do 0 intro. intros zenon_H113 zenon_H10b zenon_H1ca zenon_H15a zenon_H117 zenon_H18a zenon_H148 zenon_H41 zenon_H2c zenon_H79 zenon_Hc3 zenon_Hf6 zenon_H6f zenon_H27 zenon_H260 zenon_Hfb zenon_H3c zenon_H68 zenon_H8d zenon_Hed zenon_H141 zenon_H69 zenon_Hc4 zenon_H216 zenon_H30 zenon_H105 zenon_H88 zenon_H20 zenon_H61 zenon_H72. % 11.38/11.54 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ]. % 11.38/11.54 apply (zenon_L354_); trivial. % 11.38/11.54 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ]. % 11.38/11.54 apply (zenon_L608_); trivial. % 11.38/11.54 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ]. % 11.38/11.54 apply (zenon_L92_); trivial. % 11.38/11.54 apply (zenon_L335_); trivial. % 11.38/11.54 (* end of lemma zenon_L613_ *) % 11.38/11.54 assert (zenon_L614_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> ((op (e2) (e3)) = (e2)) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((e0) = (e3))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (e2))) -> (~((e1) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (e0))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e0) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e1))) -> False). % 11.38/11.54 do 0 intro. intros zenon_H12d zenon_H13a zenon_H1f0 zenon_H125 zenon_H154 zenon_H14f zenon_H4c zenon_H16e zenon_H161 zenon_H203 zenon_H11b zenon_Hcb zenon_H16a zenon_H15f zenon_H44 zenon_H13f zenon_H15d zenon_H30 zenon_H18a zenon_H88 zenon_H228 zenon_H1d5 zenon_H49 zenon_He5 zenon_H106 zenon_H157 zenon_H1f3 zenon_H34 zenon_H61 zenon_H105 zenon_H216 zenon_Hc4 zenon_H69 zenon_H141 zenon_Hed zenon_H8d zenon_H68 zenon_H3c zenon_Hfb zenon_H260 zenon_Hf6 zenon_H79 zenon_H41 zenon_H148 zenon_H117 zenon_H15a zenon_H1ca zenon_H10b zenon_H113 zenon_H27 zenon_H95 zenon_Hb8 zenon_Hb7 zenon_H72 zenon_H20. % 11.38/11.54 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H25 | zenon_intro zenon_H12e ]. % 11.38/11.54 apply (zenon_L396_); trivial. % 11.38/11.54 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H57 | zenon_intro zenon_H12f ]. % 11.38/11.54 apply (zenon_L399_); trivial. % 11.38/11.54 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H6e | zenon_intro zenon_Hc3 ]. % 11.38/11.54 apply (zenon_L401_); trivial. % 11.38/11.54 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.38/11.54 apply (zenon_L406_); trivial. % 11.38/11.54 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.38/11.54 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ]. % 11.38/11.54 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.38/11.54 apply (zenon_L160_); trivial. % 11.38/11.54 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.38/11.54 apply (zenon_L402_); trivial. % 11.38/11.54 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.38/11.54 apply (zenon_L387_); trivial. % 11.38/11.54 apply (zenon_L180_); trivial. % 11.38/11.54 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ]. % 11.38/11.54 apply (zenon_L325_); trivial. % 11.38/11.54 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ]. % 11.38/11.54 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ]. % 11.38/11.54 apply (zenon_L326_); trivial. % 11.38/11.54 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ]. % 11.38/11.54 apply (zenon_L610_); trivial. % 11.38/11.54 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ]. % 11.38/11.54 apply (zenon_L92_); trivial. % 11.38/11.54 apply (zenon_L335_); trivial. % 11.38/11.54 apply (zenon_L395_); trivial. % 11.38/11.54 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.38/11.54 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ]. % 11.38/11.54 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.38/11.54 apply (zenon_L160_); trivial. % 11.38/11.54 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.38/11.54 apply (zenon_L402_); trivial. % 11.38/11.54 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.38/11.54 apply (zenon_L6_); trivial. % 11.38/11.54 apply (zenon_L180_); trivial. % 11.38/11.54 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ]. % 11.38/11.54 apply (zenon_L325_); trivial. % 11.38/11.54 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ]. % 11.38/11.54 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.38/11.54 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ]. % 11.38/11.54 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H1f | zenon_intro zenon_H107 ]. % 11.38/11.54 apply (zenon_L326_); trivial. % 11.38/11.54 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H56 | zenon_intro zenon_H108 ]. % 11.38/11.54 apply (zenon_L304_); trivial. % 11.38/11.54 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hc5 | zenon_intro zenon_He6 ]. % 11.38/11.54 apply (zenon_L398_); trivial. % 11.38/11.54 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H58 | zenon_intro zenon_H6a ]. % 11.38/11.54 apply (zenon_L405_); trivial. % 11.38/11.54 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6c | zenon_intro zenon_H6b ]. % 11.38/11.54 exact (zenon_H68 zenon_H6c). % 11.38/11.54 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H5b | zenon_intro zenon_H62 ]. % 11.38/11.54 apply (zenon_L612_); trivial. % 11.38/11.54 apply (zenon_L332_); trivial. % 11.38/11.54 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ]. % 11.38/11.54 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H1f | zenon_intro zenon_H107 ]. % 11.38/11.54 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H58 | zenon_intro zenon_H6a ]. % 11.38/11.54 apply (zenon_L292_); trivial. % 11.38/11.54 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6c | zenon_intro zenon_H6b ]. % 11.38/11.54 exact (zenon_H68 zenon_H6c). % 11.38/11.54 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H5b | zenon_intro zenon_H62 ]. % 11.38/11.54 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H2c | zenon_intro zenon_H109 ]. % 11.38/11.54 apply (zenon_L613_); trivial. % 11.38/11.54 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H6c | zenon_intro zenon_H10a ]. % 11.38/11.54 exact (zenon_H68 zenon_H6c). % 11.38/11.54 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Ha4 ]. % 11.38/11.54 apply (zenon_L133_); trivial. % 11.38/11.54 apply (zenon_L611_); trivial. % 11.38/11.54 apply (zenon_L332_); trivial. % 11.38/11.54 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H56 | zenon_intro zenon_H108 ]. % 11.38/11.54 apply (zenon_L304_); trivial. % 11.38/11.54 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hc5 | zenon_intro zenon_He6 ]. % 11.38/11.54 apply (zenon_L53_); trivial. % 11.38/11.54 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H58 | zenon_intro zenon_H6a ]. % 11.38/11.54 apply (zenon_L292_); trivial. % 11.38/11.54 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6c | zenon_intro zenon_H6b ]. % 11.38/11.54 exact (zenon_H68 zenon_H6c). % 11.38/11.54 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H5b | zenon_intro zenon_H62 ]. % 11.38/11.54 apply (zenon_L612_); trivial. % 11.38/11.54 apply (zenon_L332_); trivial. % 11.38/11.54 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ]. % 11.38/11.54 apply (zenon_L92_); trivial. % 11.38/11.54 apply (zenon_L335_); trivial. % 11.38/11.54 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.38/11.54 apply (zenon_L613_); trivial. % 11.38/11.54 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.38/11.54 apply (zenon_L6_); trivial. % 11.38/11.54 apply (zenon_L180_); trivial. % 11.38/11.54 apply (zenon_L395_); trivial. % 11.38/11.54 apply (zenon_L182_); trivial. % 11.38/11.54 (* end of lemma zenon_L614_ *) % 11.38/11.54 assert (zenon_L615_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> ((op (e3) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e2) (e2)) = (e2))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((e0) = (e3))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (e2))) -> (~((e1) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (e0))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e0) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e1))) -> False). % 11.38/11.54 do 0 intro. intros zenon_H1a2 zenon_H92 zenon_H99 zenon_H212 zenon_Heb zenon_He2 zenon_Hf3 zenon_H197 zenon_H194 zenon_He3 zenon_H1aa zenon_H1f zenon_H1c1 zenon_H12d zenon_H13a zenon_H1f0 zenon_H125 zenon_H154 zenon_H14f zenon_H4c zenon_H16e zenon_H161 zenon_H203 zenon_H11b zenon_Hcb zenon_H16a zenon_H15f zenon_H44 zenon_H13f zenon_H15d zenon_H30 zenon_H88 zenon_H228 zenon_H1d5 zenon_H49 zenon_He5 zenon_H106 zenon_H157 zenon_H1f3 zenon_H34 zenon_H61 zenon_H105 zenon_H216 zenon_Hc4 zenon_H69 zenon_H141 zenon_Hed zenon_H8d zenon_H68 zenon_H3c zenon_Hfb zenon_H260 zenon_Hf6 zenon_H79 zenon_H41 zenon_H148 zenon_H117 zenon_H15a zenon_H1ca zenon_H10b zenon_H113 zenon_H27 zenon_H95 zenon_Hb8 zenon_Hb7 zenon_H72 zenon_H20. % 11.38/11.54 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H1a3 ]. % 11.38/11.54 apply (zenon_L341_); trivial. % 11.38/11.54 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H1a4 ]. % 11.38/11.54 apply (zenon_L133_); trivial. % 11.38/11.54 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H5a | zenon_intro zenon_H18a ]. % 11.38/11.54 exact (zenon_H1c1 zenon_H5a). % 11.38/11.54 apply (zenon_L614_); trivial. % 11.38/11.54 (* end of lemma zenon_L615_ *) % 11.38/11.54 assert (zenon_L616_ : ((op (e2) (e0)) = (e0)) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e2) (e2)) = (e2))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((e0) = (e3))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (e2))) -> (~((e1) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (e0))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e0) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e1))) -> False). % 11.38/11.54 do 0 intro. intros zenon_H6e zenon_H1a2 zenon_H92 zenon_H212 zenon_Heb zenon_He2 zenon_Hf3 zenon_H197 zenon_H194 zenon_He3 zenon_H1aa zenon_H1f zenon_H1c1 zenon_H12d zenon_H13a zenon_H1f0 zenon_H125 zenon_H154 zenon_H14f zenon_H4c zenon_H16e zenon_H161 zenon_H203 zenon_H11b zenon_Hcb zenon_H16a zenon_H15f zenon_H44 zenon_H13f zenon_H15d zenon_H30 zenon_H88 zenon_H228 zenon_H1d5 zenon_H49 zenon_He5 zenon_H106 zenon_H157 zenon_H1f3 zenon_H34 zenon_H61 zenon_H105 zenon_H216 zenon_Hc4 zenon_H69 zenon_H141 zenon_Hed zenon_H8d zenon_H68 zenon_H3c zenon_Hfb zenon_H260 zenon_Hf6 zenon_H79 zenon_H41 zenon_H148 zenon_H117 zenon_H15a zenon_H1ca zenon_H10b zenon_H113 zenon_H27 zenon_H95 zenon_Hb8 zenon_Hb7 zenon_H72 zenon_H20. % 11.38/11.54 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ]. % 11.38/11.54 apply (zenon_L605_); trivial. % 11.38/11.54 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ]. % 11.38/11.54 apply (zenon_L325_); trivial. % 11.38/11.54 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ]. % 11.38/11.54 apply (zenon_L29_); trivial. % 11.38/11.54 apply (zenon_L615_); trivial. % 11.38/11.54 (* end of lemma zenon_L616_ *) % 11.38/11.54 assert (zenon_L617_ : (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (e0))) -> ((op (e1) (e2)) = (e1)) -> (~((e0) = (e1))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e2) (e2)) = (e3))) -> ((op (e2) (e0)) = (e1)) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e0)) -> False). % 11.38/11.54 do 0 intro. intros zenon_Hfb zenon_H260 zenon_H88 zenon_H20 zenon_He3 zenon_Hed zenon_He2 zenon_H6f zenon_H3c zenon_H167 zenon_Hf6 zenon_Hc3. % 11.38/11.54 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hd0 | zenon_intro zenon_Hfe ]. % 11.38/11.54 exact (zenon_H260 zenon_Hd0). % 11.38/11.54 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_He0 | zenon_intro zenon_Hff ]. % 11.38/11.54 apply (zenon_L92_); trivial. % 11.38/11.54 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Hce | zenon_intro zenon_Hf7 ]. % 11.38/11.54 apply (zenon_L175_); trivial. % 11.38/11.54 apply (zenon_L77_); trivial. % 11.38/11.54 (* end of lemma zenon_L617_ *) % 11.38/11.54 assert (zenon_L618_ : ((op (e3) (e0)) = (e0)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e2) (e2)) = (e2))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((e0) = (e3))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (e2))) -> (~((e1) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (e0))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e0) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e1))) -> False). % 11.38/11.54 do 0 intro. intros zenon_Hc3 zenon_H167 zenon_H1a2 zenon_H92 zenon_H212 zenon_Heb zenon_He2 zenon_Hf3 zenon_H197 zenon_H194 zenon_He3 zenon_H1aa zenon_H1f zenon_H1c1 zenon_H12d zenon_H13a zenon_H1f0 zenon_H125 zenon_H154 zenon_H14f zenon_H4c zenon_H16e zenon_H161 zenon_H203 zenon_H11b zenon_Hcb zenon_H16a zenon_H15f zenon_H44 zenon_H13f zenon_H15d zenon_H30 zenon_H88 zenon_H228 zenon_H1d5 zenon_H49 zenon_He5 zenon_H106 zenon_H157 zenon_H1f3 zenon_H34 zenon_H61 zenon_H105 zenon_H216 zenon_Hc4 zenon_H69 zenon_H141 zenon_Hed zenon_H8d zenon_H68 zenon_H3c zenon_Hfb zenon_H260 zenon_Hf6 zenon_H79 zenon_H41 zenon_H148 zenon_H117 zenon_H15a zenon_H1ca zenon_H10b zenon_H113 zenon_H27 zenon_H95 zenon_Hb8 zenon_Hb7 zenon_H72 zenon_H20. % 11.38/11.54 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ]. % 11.38/11.54 apply (zenon_L605_); trivial. % 11.38/11.54 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ]. % 11.38/11.54 apply (zenon_L325_); trivial. % 11.38/11.54 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ]. % 11.38/11.54 apply (zenon_L617_); trivial. % 11.38/11.54 apply (zenon_L615_); trivial. % 11.38/11.54 (* end of lemma zenon_L618_ *) % 11.38/11.54 assert (zenon_L619_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((e0) = (e2))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e2)) = (e0))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e1)) = (e2))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e3) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> ((op (e1) (e2)) = (e1)) -> (~((e1) = (e3))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> ((((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))\/((((op (e1) (e1)) = (e1))/\(((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0)))/\(((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1)))/\(((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2)))/\((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3)))))))\/((((op (e2) (e2)) = (e2))/\(((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0)))/\(((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3)))))))\/(((op (e3) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3)))))))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e2))) -> (~((e2) = (e3))) -> (~((e1) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e1))) -> False). % 11.38/11.54 do 0 intro. intros zenon_Hb7 zenon_Hb8 zenon_H95 zenon_H27 zenon_H113 zenon_H10b zenon_H1ca zenon_H15a zenon_H117 zenon_H148 zenon_H260 zenon_Hfb zenon_H68 zenon_H69 zenon_Hc4 zenon_H216 zenon_H105 zenon_H61 zenon_H157 zenon_H106 zenon_He5 zenon_H49 zenon_H1d5 zenon_H228 zenon_H13f zenon_H44 zenon_H15f zenon_Hcb zenon_H11b zenon_H203 zenon_H161 zenon_H16e zenon_H4c zenon_H14f zenon_H154 zenon_H125 zenon_H13a zenon_H12d zenon_H1aa zenon_He3 zenon_H194 zenon_H197 zenon_H212 zenon_H92 zenon_H1a2 zenon_H167 zenon_H141 zenon_Hed zenon_H88 zenon_H3c zenon_H79 zenon_Hf3 zenon_H10e zenon_He2 zenon_H1b0 zenon_H122 zenon_H34 zenon_H15d zenon_H16a zenon_Hf6 zenon_H1df zenon_H1e2 zenon_H1f0 zenon_H1f3 zenon_Hb0 zenon_Hb1 zenon_H41 zenon_H30 zenon_Hf0 zenon_H1d8 zenon_H1c1 zenon_Heb zenon_H8d zenon_H72 zenon_H20. % 11.38/11.54 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H25 | zenon_intro zenon_H12e ]. % 11.38/11.54 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.38/11.54 apply (zenon_L381_); trivial. % 11.38/11.54 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.38/11.54 apply (zenon_L604_); trivial. % 11.38/11.54 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.38/11.54 apply (zenon_L351_); trivial. % 11.38/11.54 apply (zenon_L182_); trivial. % 11.38/11.54 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H57 | zenon_intro zenon_H12f ]. % 11.38/11.54 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.38/11.54 apply (zenon_L381_); trivial. % 11.38/11.54 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.38/11.54 apply (zenon_L326_); trivial. % 11.38/11.54 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.38/11.54 apply (zenon_L351_); trivial. % 11.38/11.54 apply (zenon_L182_); trivial. % 11.38/11.54 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H6e | zenon_intro zenon_Hc3 ]. % 11.38/11.54 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.38/11.54 apply (zenon_L381_); trivial. % 11.38/11.54 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.38/11.54 apply (zenon_L616_); trivial. % 11.38/11.54 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.38/11.54 apply (zenon_L351_); trivial. % 11.38/11.54 apply (zenon_L182_); trivial. % 11.38/11.54 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.38/11.54 apply (zenon_L381_); trivial. % 11.38/11.54 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.38/11.54 apply (zenon_L618_); trivial. % 11.38/11.54 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.38/11.54 apply (zenon_L351_); trivial. % 11.38/11.54 apply (zenon_L182_); trivial. % 11.38/11.54 (* end of lemma zenon_L619_ *) % 11.38/11.54 assert (zenon_L620_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e1)) = (e2))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> ((op (e1) (e3)) = (e0)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e2) (e0)) = (e1)) -> ((op (e1) (e2)) = (e2)) -> (~((e0) = (e2))) -> (~((op (e0) (e2)) = (e0))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e1) = (e3))) -> ((op (e3) (e1)) = (e1)) -> False). % 11.38/11.54 do 0 intro. intros zenon_H148 zenon_H41 zenon_H79 zenon_H68 zenon_H223 zenon_H1d8 zenon_H1f3 zenon_H2c zenon_H222 zenon_He5 zenon_Hed zenon_H7a zenon_H14f zenon_H15a zenon_H6f zenon_H5b zenon_H27 zenon_H260 zenon_Hfb zenon_H3c zenon_He6. % 11.38/11.54 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H39 | zenon_intro zenon_H149 ]. % 11.38/11.54 apply (zenon_L65_); trivial. % 11.38/11.54 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H78 | zenon_intro zenon_H14a ]. % 11.38/11.54 exact (zenon_H79 zenon_H78). % 11.38/11.54 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H145 | zenon_intro zenon_H147 ]. % 11.38/11.54 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hd0 | zenon_intro zenon_Hfe ]. % 11.38/11.54 exact (zenon_H260 zenon_Hd0). % 11.38/11.54 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_He0 | zenon_intro zenon_Hff ]. % 11.38/11.54 apply (zenon_L347_); trivial. % 11.38/11.54 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Hce | zenon_intro zenon_Hf7 ]. % 11.38/11.54 apply (zenon_L174_); trivial. % 11.38/11.54 apply (zenon_L357_); trivial. % 11.38/11.54 apply (zenon_L157_); trivial. % 11.38/11.54 (* end of lemma zenon_L620_ *) % 11.38/11.54 assert (zenon_L621_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e1)) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e2)) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e3))) -> False). % 11.38/11.54 do 0 intro. intros zenon_H44 zenon_H4f zenon_H34 zenon_H1e zenon_H41 zenon_H2f zenon_H47 zenon_H3c. % 11.38/11.54 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.38/11.54 apply (zenon_L58_); trivial. % 11.38/11.54 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.38/11.54 apply (zenon_L8_); trivial. % 11.38/11.54 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.38/11.54 apply (zenon_L13_); trivial. % 11.38/11.54 apply (zenon_L14_); trivial. % 11.38/11.54 (* end of lemma zenon_L621_ *) % 11.38/11.54 assert (zenon_L622_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e3))) -> ((op (e0) (e0)) = (e1)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e2))) -> False). % 11.38/11.54 do 0 intro. intros zenon_H49 zenon_H38 zenon_H3c zenon_H41 zenon_H1e zenon_H34 zenon_H4f zenon_H44 zenon_H47 zenon_H30. % 11.38/11.54 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.38/11.54 apply (zenon_L160_); trivial. % 11.38/11.54 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.38/11.54 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.38/11.54 exact (zenon_H38 zenon_H33). % 11.38/11.54 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.38/11.54 apply (zenon_L8_); trivial. % 11.38/11.54 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.38/11.54 apply (zenon_L227_); trivial. % 11.38/11.54 apply (zenon_L14_); trivial. % 11.38/11.54 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.38/11.54 apply (zenon_L621_); trivial. % 11.38/11.54 apply (zenon_L15_); trivial. % 11.38/11.54 (* end of lemma zenon_L622_ *) % 11.38/11.54 assert (zenon_L623_ : (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (e3))) -> False). % 11.38/11.54 do 0 intro. intros zenon_H15a zenon_H1e zenon_H10b zenon_H1ca zenon_H6d zenon_H68 zenon_H79. % 11.38/11.54 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H10c | zenon_intro zenon_H15b ]. % 11.38/11.54 apply (zenon_L87_); trivial. % 11.38/11.54 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H56 | zenon_intro zenon_H15c ]. % 11.38/11.54 apply (zenon_L459_); trivial. % 11.38/11.54 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_H6c | zenon_intro zenon_H78 ]. % 11.38/11.54 exact (zenon_H68 zenon_H6c). % 11.38/11.54 exact (zenon_H79 zenon_H78). % 11.38/11.54 (* end of lemma zenon_L623_ *) % 11.38/11.54 assert (zenon_L624_ : (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e0)) = (e0)) -> ((op (e2) (e0)) = (e0)) -> False). % 11.38/11.54 do 0 intro. intros zenon_H1aa zenon_H25 zenon_H6e. % 11.38/11.54 cut (((op (e0) (e0)) = (e0)) = ((op (e0) (e0)) = (op (e2) (e0)))). % 11.38/11.54 intro zenon_D_pnotp. % 11.38/11.54 apply zenon_H1aa. % 11.38/11.54 rewrite <- zenon_D_pnotp. % 11.38/11.54 exact zenon_H25. % 11.38/11.54 cut (((e0) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H261]. % 11.38/11.54 cut (((op (e0) (e0)) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H188]. % 11.38/11.54 congruence. % 11.38/11.54 apply zenon_H188. apply refl_equal. % 11.38/11.54 apply zenon_H261. apply sym_equal. exact zenon_H6e. % 11.38/11.54 (* end of lemma zenon_L624_ *) % 11.38/11.54 assert (zenon_L625_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e0)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e1)) -> False). % 11.38/11.54 do 0 intro. intros zenon_H105 zenon_H20 zenon_H216 zenon_H88 zenon_H79 zenon_H68 zenon_H157 zenon_H10b zenon_H1e zenon_H15a zenon_H16a zenon_H99. % 11.38/11.54 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H1f | zenon_intro zenon_H107 ]. % 11.38/11.54 apply (zenon_L2_); trivial. % 11.38/11.54 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H56 | zenon_intro zenon_H108 ]. % 11.38/11.54 apply (zenon_L304_); trivial. % 11.38/11.54 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hc5 | zenon_intro zenon_He6 ]. % 11.38/11.54 apply (zenon_L376_); trivial. % 11.38/11.54 apply (zenon_L146_); trivial. % 11.38/11.54 (* end of lemma zenon_L625_ *) % 11.38/11.54 assert (zenon_L626_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False). % 11.38/11.54 do 0 intro. intros zenon_H49 zenon_H30 zenon_H4f zenon_H13a zenon_Hed zenon_H41 zenon_H1e zenon_H34 zenon_H38 zenon_H44 zenon_H18a zenon_H16e. % 11.38/11.54 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.38/11.54 apply (zenon_L160_); trivial. % 11.38/11.54 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.38/11.54 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.38/11.54 exact (zenon_H38 zenon_H33). % 11.38/11.54 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.38/11.54 apply (zenon_L8_); trivial. % 11.38/11.54 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.38/11.54 apply (zenon_L227_); trivial. % 11.38/11.54 apply (zenon_L113_); trivial. % 11.38/11.54 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.38/11.54 apply (zenon_L115_); trivial. % 11.38/11.54 apply (zenon_L213_); trivial. % 11.38/11.54 (* end of lemma zenon_L626_ *) % 11.38/11.54 assert (zenon_L627_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e1)) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e1)) -> ((op (e0) (e3)) = (e2)) -> (~((e2) = (e3))) -> False). % 11.38/11.54 do 0 intro. intros zenon_H44 zenon_H4f zenon_H34 zenon_H1e zenon_H3c zenon_H2e zenon_H3f zenon_H41. % 11.38/11.54 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.38/11.54 apply (zenon_L58_); trivial. % 11.38/11.54 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.38/11.54 apply (zenon_L8_); trivial. % 11.38/11.54 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.38/11.54 apply (zenon_L9_); trivial. % 11.38/11.54 apply (zenon_L11_); trivial. % 11.38/11.54 (* end of lemma zenon_L627_ *) % 11.38/11.54 assert (zenon_L628_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((op (e1) (e0)) = (e3)) -> (~((op (e1) (e1)) = (e2))) -> ((op (e3) (e1)) = (e1)) -> (~((e1) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (e0))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e1) (e1)) = (e3))) -> ((op (e0) (e1)) = (e2)) -> (~((e2) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e1) (e3)) = (e0)) -> (~((e0) = (e2))) -> False). % 11.38/11.54 do 0 intro. intros zenon_H69 zenon_H75 zenon_H68 zenon_He6 zenon_H3c zenon_Hfb zenon_H260 zenon_H6f zenon_Hf6 zenon_Hc3 zenon_H79 zenon_H2c zenon_H41 zenon_H148 zenon_H7a zenon_H27. % 11.38/11.54 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H58 | zenon_intro zenon_H6a ]. % 11.38/11.54 apply (zenon_L31_); trivial. % 11.38/11.54 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6c | zenon_intro zenon_H6b ]. % 11.38/11.54 exact (zenon_H68 zenon_H6c). % 11.38/11.54 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H5b | zenon_intro zenon_H62 ]. % 11.38/11.54 apply (zenon_L607_); trivial. % 11.38/11.54 apply (zenon_L103_); trivial. % 11.38/11.54 (* end of lemma zenon_L628_ *) % 11.38/11.54 assert (zenon_L629_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e0) = (e2))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e1) (e1)) = (e3))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (e0))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e2) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((e0) = (e1))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e1)) -> (((op (e3) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> False). % 11.38/11.54 do 0 intro. intros zenon_H161 zenon_H38 zenon_H27 zenon_H106 zenon_H69 zenon_H68 zenon_H18b zenon_H18a zenon_H148 zenon_H34 zenon_H1e zenon_H79 zenon_Hc3 zenon_Hf6 zenon_H260 zenon_Hfb zenon_H41 zenon_Hc4 zenon_H88 zenon_H216 zenon_H20 zenon_H105 zenon_H10b zenon_H113 zenon_H3c zenon_H6f zenon_H15f zenon_H15d. % 11.38/11.54 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ]. % 11.38/11.54 exact (zenon_H38 zenon_H33). % 11.38/11.54 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ]. % 11.38/11.54 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ]. % 11.38/11.54 apply (zenon_L118_); trivial. % 11.38/11.54 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ]. % 11.38/11.54 apply (zenon_L87_); trivial. % 11.38/11.54 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ]. % 11.38/11.54 apply (zenon_L92_); trivial. % 11.38/11.54 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H1f | zenon_intro zenon_H107 ]. % 11.38/11.54 apply (zenon_L2_); trivial. % 11.38/11.54 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H56 | zenon_intro zenon_H108 ]. % 11.38/11.54 apply (zenon_L304_); trivial. % 11.38/11.54 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hc5 | zenon_intro zenon_He6 ]. % 11.38/11.54 apply (zenon_L53_); trivial. % 11.38/11.54 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H58 | zenon_intro zenon_H6a ]. % 11.38/11.54 apply (zenon_L31_); trivial. % 11.38/11.54 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6c | zenon_intro zenon_H6b ]. % 11.38/11.54 exact (zenon_H68 zenon_H6c). % 11.38/11.54 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H5b | zenon_intro zenon_H62 ]. % 11.38/11.54 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H2c | zenon_intro zenon_H109 ]. % 11.38/11.54 apply (zenon_L628_); trivial. % 11.38/11.54 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H6c | zenon_intro zenon_H10a ]. % 11.38/11.54 exact (zenon_H68 zenon_H6c). % 11.38/11.54 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Ha4 ]. % 11.38/11.54 apply (zenon_L184_); trivial. % 11.38/11.54 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H39 | zenon_intro zenon_H149 ]. % 11.38/11.54 apply (zenon_L8_); trivial. % 11.38/11.54 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H78 | zenon_intro zenon_H14a ]. % 11.38/11.54 exact (zenon_H79 zenon_H78). % 11.38/11.54 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H145 | zenon_intro zenon_H147 ]. % 11.38/11.54 apply (zenon_L606_); trivial. % 11.38/11.54 apply (zenon_L609_); trivial. % 11.38/11.54 apply (zenon_L103_); trivial. % 11.38/11.54 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ]. % 11.38/11.54 apply (zenon_L136_); trivial. % 11.38/11.54 apply (zenon_L142_); trivial. % 11.38/11.54 (* end of lemma zenon_L629_ *) % 11.38/11.54 assert (zenon_L630_ : (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> ((op (e2) (e3)) = (e2)) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((e0) = (e3))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (e2))) -> (~((e1) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (e0))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e0) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e0) = (e1))) -> False). % 11.38/11.54 do 0 intro. intros zenon_H18f zenon_H222 zenon_H1d8 zenon_H223 zenon_H38 zenon_H18b zenon_Hfa zenon_H1aa zenon_H71 zenon_H12d zenon_H13a zenon_H1f0 zenon_H125 zenon_H154 zenon_H14f zenon_H4c zenon_H16e zenon_H161 zenon_H203 zenon_H11b zenon_Hcb zenon_H16a zenon_H15f zenon_H44 zenon_H13f zenon_H15d zenon_H30 zenon_H18a zenon_H88 zenon_H228 zenon_H1d5 zenon_H49 zenon_He5 zenon_H106 zenon_H157 zenon_H1f3 zenon_H34 zenon_H61 zenon_H105 zenon_H216 zenon_Hc4 zenon_H69 zenon_H141 zenon_Hed zenon_H8d zenon_H68 zenon_H3c zenon_Hfb zenon_H260 zenon_Hf6 zenon_H79 zenon_H41 zenon_H148 zenon_H117 zenon_H15a zenon_H1ca zenon_H10b zenon_H113 zenon_H27 zenon_H95 zenon_Hb8 zenon_Hb7 zenon_H20. % 11.38/11.54 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H25 | zenon_intro zenon_H190 ]. % 11.38/11.54 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.38/11.54 apply (zenon_L129_); trivial. % 11.38/11.54 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.38/11.54 apply (zenon_L214_); trivial. % 11.38/11.54 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.38/11.54 apply (zenon_L216_); trivial. % 11.38/11.54 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ]. % 11.38/11.54 apply (zenon_L129_); trivial. % 11.38/11.54 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ]. % 11.38/11.54 apply (zenon_L325_); trivial. % 11.38/11.54 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ]. % 11.38/11.54 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.38/11.54 apply (zenon_L3_); trivial. % 11.38/11.54 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.38/11.54 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ]. % 11.38/11.54 exact (zenon_H38 zenon_H33). % 11.38/11.54 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ]. % 11.38/11.54 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ]. % 11.38/11.54 apply (zenon_L118_); trivial. % 11.38/11.54 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ]. % 11.38/11.54 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H58 | zenon_intro zenon_H6a ]. % 11.38/11.54 apply (zenon_L292_); trivial. % 11.38/11.54 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6c | zenon_intro zenon_H6b ]. % 11.38/11.54 exact (zenon_H68 zenon_H6c). % 11.38/11.54 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H5b | zenon_intro zenon_H62 ]. % 11.38/11.54 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H39 | zenon_intro zenon_H149 ]. % 11.38/11.54 apply (zenon_L65_); trivial. % 11.38/11.54 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H78 | zenon_intro zenon_H14a ]. % 11.38/11.54 exact (zenon_H79 zenon_H78). % 11.38/11.54 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H145 | zenon_intro zenon_H147 ]. % 11.38/11.54 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hd0 | zenon_intro zenon_Hfe ]. % 11.38/11.54 exact (zenon_H260 zenon_Hd0). % 11.38/11.54 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_He0 | zenon_intro zenon_Hff ]. % 11.38/11.54 apply (zenon_L347_); trivial. % 11.38/11.54 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Hce | zenon_intro zenon_Hf7 ]. % 11.38/11.54 apply (zenon_L174_); trivial. % 11.38/11.54 apply (zenon_L358_); trivial. % 11.38/11.54 apply (zenon_L370_); trivial. % 11.38/11.54 apply (zenon_L332_); trivial. % 11.38/11.54 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ]. % 11.38/11.54 apply (zenon_L92_); trivial. % 11.38/11.54 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H1f | zenon_intro zenon_H107 ]. % 11.38/11.54 apply (zenon_L211_); trivial. % 11.38/11.54 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H56 | zenon_intro zenon_H108 ]. % 11.38/11.54 apply (zenon_L304_); trivial. % 11.38/11.54 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hc5 | zenon_intro zenon_He6 ]. % 11.38/11.54 apply (zenon_L53_); trivial. % 11.38/11.54 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H58 | zenon_intro zenon_H6a ]. % 11.38/11.54 apply (zenon_L31_); trivial. % 11.38/11.54 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6c | zenon_intro zenon_H6b ]. % 11.38/11.54 exact (zenon_H68 zenon_H6c). % 11.38/11.54 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H5b | zenon_intro zenon_H62 ]. % 11.38/11.54 apply (zenon_L620_); trivial. % 11.38/11.54 apply (zenon_L332_); trivial. % 11.38/11.54 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ]. % 11.38/11.54 apply (zenon_L136_); trivial. % 11.38/11.54 apply (zenon_L141_); trivial. % 11.38/11.54 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.38/11.54 apply (zenon_L385_); trivial. % 11.38/11.54 apply (zenon_L213_); trivial. % 11.38/11.54 apply (zenon_L372_); trivial. % 11.38/11.54 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H1e | zenon_intro zenon_H191 ]. % 11.38/11.54 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H25 | zenon_intro zenon_H12e ]. % 11.38/11.54 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.38/11.54 apply (zenon_L129_); trivial. % 11.38/11.54 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.38/11.54 apply (zenon_L2_); trivial. % 11.38/11.54 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.38/11.54 apply (zenon_L216_); trivial. % 11.38/11.54 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ]. % 11.38/11.54 apply (zenon_L622_); trivial. % 11.38/11.54 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ]. % 11.38/11.54 apply (zenon_L623_); trivial. % 11.38/11.54 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ]. % 11.38/11.54 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.38/11.54 apply (zenon_L3_); trivial. % 11.38/11.54 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.38/11.54 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ]. % 11.38/11.54 apply (zenon_L3_); trivial. % 11.38/11.54 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ]. % 11.38/11.54 apply (zenon_L352_); trivial. % 11.38/11.54 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ]. % 11.38/11.54 apply (zenon_L108_); trivial. % 11.38/11.54 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ]. % 11.38/11.54 exact (zenon_H38 zenon_H33). % 11.38/11.54 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ]. % 11.38/11.54 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ]. % 11.38/11.54 apply (zenon_L118_); trivial. % 11.38/11.54 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ]. % 11.38/11.54 apply (zenon_L87_); trivial. % 11.38/11.54 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ]. % 11.38/11.54 apply (zenon_L92_); trivial. % 11.38/11.54 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H1f | zenon_intro zenon_H107 ]. % 11.38/11.54 apply (zenon_L199_); trivial. % 11.38/11.54 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H56 | zenon_intro zenon_H108 ]. % 11.38/11.54 apply (zenon_L304_); trivial. % 11.38/11.54 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hc5 | zenon_intro zenon_He6 ]. % 11.38/11.54 apply (zenon_L53_); trivial. % 11.38/11.54 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H39 | zenon_intro zenon_H149 ]. % 11.38/11.54 apply (zenon_L65_); trivial. % 11.38/11.54 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H78 | zenon_intro zenon_H14a ]. % 11.38/11.54 exact (zenon_H79 zenon_H78). % 11.38/11.54 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H145 | zenon_intro zenon_H147 ]. % 11.38/11.54 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H6e | zenon_intro zenon_Hfc ]. % 11.38/11.54 apply (zenon_L624_); trivial. % 11.38/11.54 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hfd ]. % 11.38/11.54 apply (zenon_L55_); trivial. % 11.38/11.54 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hce | zenon_intro zenon_H96 ]. % 11.38/11.54 apply (zenon_L174_); trivial. % 11.38/11.54 apply (zenon_L187_); trivial. % 11.38/11.54 apply (zenon_L157_); trivial. % 11.38/11.54 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ]. % 11.40/11.55 apply (zenon_L136_); trivial. % 11.40/11.55 apply (zenon_L302_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.40/11.55 apply (zenon_L115_); trivial. % 11.40/11.55 apply (zenon_L213_); trivial. % 11.40/11.55 apply (zenon_L625_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H57 | zenon_intro zenon_H12f ]. % 11.40/11.55 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ]. % 11.40/11.55 apply (zenon_L626_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ]. % 11.40/11.55 apply (zenon_L325_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ]. % 11.40/11.55 apply (zenon_L238_); trivial. % 11.40/11.55 apply (zenon_L625_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H6e | zenon_intro zenon_Hc3 ]. % 11.40/11.55 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ]. % 11.40/11.55 apply (zenon_L626_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ]. % 11.40/11.55 apply (zenon_L325_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ]. % 11.40/11.55 apply (zenon_L29_); trivial. % 11.40/11.55 apply (zenon_L625_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.40/11.55 apply (zenon_L626_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.40/11.55 apply (zenon_L2_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.40/11.55 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ]. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.40/11.55 apply (zenon_L160_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.40/11.55 apply (zenon_L388_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.40/11.55 apply (zenon_L6_); trivial. % 11.40/11.55 apply (zenon_L627_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ]. % 11.40/11.55 apply (zenon_L325_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ]. % 11.40/11.55 apply (zenon_L629_); trivial. % 11.40/11.55 apply (zenon_L625_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ]. % 11.40/11.55 apply (zenon_L622_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ]. % 11.40/11.55 apply (zenon_L623_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ]. % 11.40/11.55 apply (zenon_L629_); trivial. % 11.40/11.55 apply (zenon_L625_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H72 ]. % 11.40/11.55 exact (zenon_H260 zenon_Hd0). % 11.40/11.55 apply (zenon_L614_); trivial. % 11.40/11.55 (* end of lemma zenon_L630_ *) % 11.40/11.55 assert (zenon_L631_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((e0) = (e2))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (e0))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e1)) = (e2))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((e0) = (e3))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((e1) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e3) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> ((op (e1) (e2)) = (e1)) -> (~((e1) = (e3))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e3) (e2)) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e1))) -> False). % 11.40/11.55 do 0 intro. intros zenon_Hb7 zenon_Hb8 zenon_H95 zenon_H27 zenon_H113 zenon_H10b zenon_H1ca zenon_H15a zenon_H117 zenon_H148 zenon_H41 zenon_Hf6 zenon_H260 zenon_Hfb zenon_H68 zenon_H69 zenon_Hc4 zenon_H216 zenon_H105 zenon_H61 zenon_H34 zenon_H1f3 zenon_H157 zenon_H106 zenon_He5 zenon_H49 zenon_H1d5 zenon_H228 zenon_H30 zenon_H15d zenon_H13f zenon_H44 zenon_H15f zenon_H16a zenon_Hcb zenon_H11b zenon_H203 zenon_H161 zenon_H16e zenon_H4c zenon_H14f zenon_H154 zenon_H125 zenon_H1f0 zenon_H13a zenon_H12d zenon_H1c1 zenon_H1aa zenon_He3 zenon_H194 zenon_H197 zenon_Heb zenon_H212 zenon_H92 zenon_H1a2 zenon_H167 zenon_H141 zenon_Hed zenon_H88 zenon_H3c zenon_H79 zenon_Hf3 zenon_H10e zenon_He2 zenon_H201 zenon_H8d zenon_H72 zenon_H20. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H25 | zenon_intro zenon_H12e ]. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.40/11.55 apply (zenon_L381_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.40/11.55 apply (zenon_L604_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.40/11.55 apply (zenon_L410_); trivial. % 11.40/11.55 apply (zenon_L182_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H57 | zenon_intro zenon_H12f ]. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.40/11.55 apply (zenon_L381_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.40/11.55 apply (zenon_L326_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.40/11.55 apply (zenon_L410_); trivial. % 11.40/11.55 apply (zenon_L182_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H6e | zenon_intro zenon_Hc3 ]. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.40/11.55 apply (zenon_L381_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.40/11.55 apply (zenon_L616_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.40/11.55 apply (zenon_L410_); trivial. % 11.40/11.55 apply (zenon_L182_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.40/11.55 apply (zenon_L381_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.40/11.55 apply (zenon_L618_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.40/11.55 apply (zenon_L410_); trivial. % 11.40/11.55 apply (zenon_L182_); trivial. % 11.40/11.55 (* end of lemma zenon_L631_ *) % 11.40/11.55 assert (zenon_L632_ : (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e2)) = (e1)) -> (~((e0) = (e1))) -> ((op (e2) (e3)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e1)) -> False). % 11.40/11.55 do 0 intro. intros zenon_H1d5 zenon_H30 zenon_H3f zenon_H228 zenon_H88 zenon_H20 zenon_H96 zenon_H15d zenon_H99. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H47 | zenon_intro zenon_H1d6 ]. % 11.40/11.55 apply (zenon_L15_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H90 | zenon_intro zenon_H1d7 ]. % 11.40/11.55 apply (zenon_L391_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H118 | zenon_intro zenon_He7 ]. % 11.40/11.55 apply (zenon_L166_); trivial. % 11.40/11.55 apply (zenon_L262_); trivial. % 11.40/11.55 (* end of lemma zenon_L632_ *) % 11.40/11.55 assert (zenon_L633_ : ((~((op (e3) (e3)) = (e2)))\/(~((op (e3) (e2)) = (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((e0) = (e1))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))\/((((op (e1) (e1)) = (e1))/\(((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0)))/\(((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1)))/\(((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2)))/\((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3)))))))\/((((op (e2) (e2)) = (e2))/\(((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0)))/\(((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3)))))))\/(((op (e3) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3)))))))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (e0))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> False). % 11.40/11.55 do 0 intro. intros zenon_H200 zenon_Hb7 zenon_H105 zenon_H16a zenon_H157 zenon_H13f zenon_H69 zenon_H44 zenon_H49 zenon_H27 zenon_H161 zenon_H113 zenon_H212 zenon_H8d zenon_H187 zenon_H30 zenon_Hb8 zenon_H3c zenon_H41 zenon_H34 zenon_H216 zenon_H68 zenon_H1ca zenon_H15a zenon_H88 zenon_H10e zenon_H20 zenon_H1c1 zenon_H18f zenon_H1d5 zenon_H228 zenon_H125 zenon_H203 zenon_H12d zenon_H13a zenon_H16c zenon_H148 zenon_He5 zenon_H11b zenon_Hf3 zenon_Heb zenon_H197 zenon_H154 zenon_H61 zenon_H95 zenon_H16e zenon_H117 zenon_H194 zenon_H92 zenon_H1aa zenon_Hb9 zenon_H5c zenon_Hcb zenon_H14f zenon_H10b zenon_H106 zenon_He3 zenon_H167 zenon_H141 zenon_H1b0 zenon_H1d8 zenon_H1f3 zenon_H1e2 zenon_H1f0 zenon_H1df zenon_Hf6 zenon_Hb0 zenon_H15d zenon_Hf0 zenon_H122 zenon_H71 zenon_Hc4 zenon_H226 zenon_Hfb zenon_H223 zenon_H222 zenon_H1a2 zenon_H260 zenon_H4c zenon_Hfa zenon_H18b. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H201 ]. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H51 | zenon_intro zenon_H1b1 ]. % 11.40/11.55 apply (zenon_L323_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H53 | zenon_intro zenon_H1b2 ]. % 11.40/11.55 apply (zenon_L324_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H132 | zenon_intro zenon_H15f ]. % 11.40/11.55 apply (zenon_L225_); trivial. % 11.40/11.55 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_Hed. zenon_intro zenon_H160. % 11.40/11.55 apply (zenon_and_s _ _ zenon_H160). zenon_intro zenon_H1b4. zenon_intro zenon_H1b3. % 11.40/11.55 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_H1b6. zenon_intro zenon_H1b5. % 11.40/11.55 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H18e. zenon_intro zenon_H1b7. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H38 | zenon_intro zenon_H72 ]. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H79 | zenon_intro zenon_H90 ]. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_He2 | zenon_intro zenon_H18a ]. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H25 | zenon_intro zenon_H190 ]. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.40/11.55 apply (zenon_L129_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.40/11.55 apply (zenon_L349_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.40/11.55 apply (zenon_L351_); trivial. % 11.40/11.55 apply (zenon_L603_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H1e | zenon_intro zenon_H191 ]. % 11.40/11.55 apply (zenon_L377_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H72 ]. % 11.40/11.55 exact (zenon_H260 zenon_Hd0). % 11.40/11.55 apply (zenon_L619_); trivial. % 11.40/11.55 apply (zenon_L630_); trivial. % 11.40/11.55 apply (zenon_L391_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H79 | zenon_intro zenon_H90 ]. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_He2 | zenon_intro zenon_H18a ]. % 11.40/11.55 apply (zenon_L619_); trivial. % 11.40/11.55 apply (zenon_L614_); trivial. % 11.40/11.55 apply (zenon_L391_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H51 | zenon_intro zenon_H1b1 ]. % 11.40/11.55 apply (zenon_L323_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H53 | zenon_intro zenon_H1b2 ]. % 11.40/11.55 apply (zenon_L324_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H132 | zenon_intro zenon_H15f ]. % 11.40/11.55 apply (zenon_L225_); trivial. % 11.40/11.55 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_Hed. zenon_intro zenon_H160. % 11.40/11.55 apply (zenon_and_s _ _ zenon_H160). zenon_intro zenon_H1b4. zenon_intro zenon_H1b3. % 11.40/11.55 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_H1b6. zenon_intro zenon_H1b5. % 11.40/11.55 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H18e. zenon_intro zenon_H1b7. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H38 | zenon_intro zenon_H72 ]. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H79 | zenon_intro zenon_H90 ]. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_He2 | zenon_intro zenon_H18a ]. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H25 | zenon_intro zenon_H190 ]. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.40/11.55 apply (zenon_L129_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.40/11.55 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ]. % 11.40/11.55 apply (zenon_L129_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ]. % 11.40/11.55 apply (zenon_L325_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ]. % 11.40/11.55 apply (zenon_L329_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.40/11.55 apply (zenon_L3_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.40/11.55 apply (zenon_L211_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.40/11.55 apply (zenon_L212_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ]. % 11.40/11.55 apply (zenon_L3_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ]. % 11.40/11.55 apply (zenon_L328_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ]. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H2c | zenon_intro zenon_H109 ]. % 11.40/11.55 apply (zenon_L211_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H6c | zenon_intro zenon_H10a ]. % 11.40/11.55 exact (zenon_H68 zenon_H6c). % 11.40/11.55 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Ha4 ]. % 11.40/11.55 apply (zenon_L532_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H72 | zenon_intro zenon_Hbe ]. % 11.40/11.55 apply (zenon_L631_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H7a | zenon_intro zenon_Hbf ]. % 11.40/11.55 apply (zenon_L327_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H96 | zenon_intro zenon_H9d ]. % 11.40/11.55 apply (zenon_L632_); trivial. % 11.40/11.55 apply (zenon_L45_); trivial. % 11.40/11.55 apply (zenon_L41_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.40/11.55 apply (zenon_L410_); trivial. % 11.40/11.55 apply (zenon_L603_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H1e | zenon_intro zenon_H191 ]. % 11.40/11.55 apply (zenon_L377_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H72 ]. % 11.40/11.55 exact (zenon_H260 zenon_Hd0). % 11.40/11.55 apply (zenon_L631_); trivial. % 11.40/11.55 apply (zenon_L630_); trivial. % 11.40/11.55 apply (zenon_L391_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H79 | zenon_intro zenon_H90 ]. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_He2 | zenon_intro zenon_H18a ]. % 11.40/11.55 apply (zenon_L631_); trivial. % 11.40/11.55 apply (zenon_L614_); trivial. % 11.40/11.55 apply (zenon_L391_); trivial. % 11.40/11.55 (* end of lemma zenon_L633_ *) % 11.40/11.55 assert (zenon_L634_ : (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e3)) -> ((op (e1) (e3)) = (e3)) -> False). % 11.40/11.55 do 0 intro. intros zenon_H61 zenon_H40 zenon_H8b. % 11.40/11.55 cut (((op (e0) (e3)) = (e3)) = ((op (e0) (e3)) = (op (e1) (e3)))). % 11.40/11.55 intro zenon_D_pnotp. % 11.40/11.55 apply zenon_H61. % 11.40/11.55 rewrite <- zenon_D_pnotp. % 11.40/11.55 exact zenon_H40. % 11.40/11.55 cut (((e3) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H143]. % 11.40/11.55 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H64]. % 11.40/11.55 congruence. % 11.40/11.55 apply zenon_H64. apply refl_equal. % 11.40/11.55 apply zenon_H143. apply sym_equal. exact zenon_H8b. % 11.40/11.55 (* end of lemma zenon_L634_ *) % 11.40/11.55 assert (zenon_L635_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e1) (e0)) = (e2)) -> (~((op (e1) (e1)) = (e3))) -> (~((e0) = (e3))) -> ((op (e1) (e2)) = (e0)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e3)) -> False). % 11.40/11.55 do 0 intro. intros zenon_H8d zenon_H41 zenon_H58 zenon_H79 zenon_H34 zenon_He0 zenon_H61 zenon_H40. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H75 | zenon_intro zenon_H8e ]. % 11.40/11.55 apply (zenon_L31_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H78 | zenon_intro zenon_H8f ]. % 11.40/11.55 exact (zenon_H79 zenon_H78). % 11.40/11.55 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H8b ]. % 11.40/11.55 apply (zenon_L69_); trivial. % 11.40/11.55 apply (zenon_L634_); trivial. % 11.40/11.55 (* end of lemma zenon_L635_ *) % 11.40/11.55 assert (zenon_L636_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e1) (e1)) = (e0))) -> ((op (e0) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((e0) = (e3))) -> (~((op (e1) (e1)) = (e3))) -> ((op (e1) (e0)) = (e2)) -> (~((e2) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e1))) -> False). % 11.40/11.55 do 0 intro. intros zenon_H113 zenon_H25 zenon_H187 zenon_H207 zenon_H40 zenon_H61 zenon_H34 zenon_H79 zenon_H58 zenon_H41 zenon_H8d zenon_H90 zenon_H20. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ]. % 11.40/11.55 apply (zenon_L298_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ]. % 11.40/11.55 exact (zenon_H207 zenon_H10c). % 11.40/11.55 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ]. % 11.40/11.55 apply (zenon_L635_); trivial. % 11.40/11.55 apply (zenon_L38_); trivial. % 11.40/11.55 (* end of lemma zenon_L636_ *) % 11.40/11.55 assert (zenon_L637_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e1)) -> ((op (e0) (e2)) = (e2)) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((e0) = (e3))) -> (~((op (e1) (e1)) = (e3))) -> ((op (e1) (e0)) = (e2)) -> (~((e2) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e1))) -> False). % 11.40/11.55 do 0 intro. intros zenon_H44 zenon_H3c zenon_H1f zenon_H2f zenon_H113 zenon_H25 zenon_H187 zenon_H207 zenon_H61 zenon_H34 zenon_H79 zenon_H58 zenon_H41 zenon_H8d zenon_H90 zenon_H20. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.40/11.55 apply (zenon_L7_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.40/11.55 apply (zenon_L130_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.40/11.55 apply (zenon_L13_); trivial. % 11.40/11.55 apply (zenon_L636_); trivial. % 11.40/11.55 (* end of lemma zenon_L637_ *) % 11.40/11.55 assert (zenon_L638_ : (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e0)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> ((op (e1) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> False). % 11.40/11.55 do 0 intro. intros zenon_Hf0 zenon_H96 zenon_He3 zenon_H90 zenon_H62 zenon_H141 zenon_H233. % 11.40/11.55 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf1 ]. % 11.40/11.55 apply (zenon_L71_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_He7 | zenon_intro zenon_Hf2 ]. % 11.40/11.55 apply (zenon_L248_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_Hb4 | zenon_intro zenon_Hed ]. % 11.40/11.55 apply (zenon_L336_); trivial. % 11.40/11.55 exact (zenon_H233 zenon_Hed). % 11.40/11.55 (* end of lemma zenon_L638_ *) % 11.40/11.55 assert (zenon_L639_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e3)) -> ((op (e2) (e1)) = (e0)) -> (~((e1) = (e2))) -> ((op (e2) (e3)) = (e2)) -> False). % 11.40/11.55 do 0 intro. intros zenon_H11b zenon_H6d zenon_H16c zenon_H1f zenon_Hcb zenon_H152 zenon_Hcc zenon_H30 zenon_H18a. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H6f | zenon_intro zenon_H11d ]. % 11.40/11.55 apply (zenon_L149_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H11e ]. % 11.40/11.55 apply (zenon_L330_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H11f | zenon_intro zenon_H118 ]. % 11.40/11.55 apply (zenon_L242_); trivial. % 11.40/11.55 apply (zenon_L245_); trivial. % 11.40/11.55 (* end of lemma zenon_L639_ *) % 11.40/11.55 assert (zenon_L640_ : (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e0)) = (e1)) -> ((op (e2) (e2)) = (e1)) -> False). % 11.40/11.55 do 0 intro. intros zenon_Hc0 zenon_H6f zenon_H11f. % 11.40/11.55 cut (((op (e2) (e0)) = (e1)) = ((op (e2) (e0)) = (op (e2) (e2)))). % 11.40/11.55 intro zenon_D_pnotp. % 11.40/11.55 apply zenon_Hc0. % 11.40/11.55 rewrite <- zenon_D_pnotp. % 11.40/11.55 exact zenon_H6f. % 11.40/11.55 cut (((e1) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H19a]. % 11.40/11.55 cut (((op (e2) (e0)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H98]. % 11.40/11.55 congruence. % 11.40/11.55 apply zenon_H98. apply refl_equal. % 11.40/11.55 apply zenon_H19a. apply sym_equal. exact zenon_H11f. % 11.40/11.55 (* end of lemma zenon_L640_ *) % 11.40/11.55 assert (zenon_L641_ : (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e0))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> False). % 11.40/11.55 do 0 intro. intros zenon_H19c zenon_Hcf zenon_H6f zenon_Hc0 zenon_H18a zenon_H192 zenon_He2. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_Hce | zenon_intro zenon_H19d ]. % 11.40/11.55 exact (zenon_Hcf zenon_Hce). % 11.40/11.55 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H11f | zenon_intro zenon_H19e ]. % 11.40/11.55 apply (zenon_L640_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H5a | zenon_intro zenon_He1 ]. % 11.40/11.55 apply (zenon_L186_); trivial. % 11.40/11.55 exact (zenon_He2 zenon_He1). % 11.40/11.55 (* end of lemma zenon_L641_ *) % 11.40/11.55 assert (zenon_L642_ : (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e0)) -> ((op (e3) (e1)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> False). % 11.40/11.55 do 0 intro. intros zenon_Hf0 zenon_H96 zenon_He6 zenon_He5 zenon_H18a zenon_He3 zenon_H233. % 11.40/11.55 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf1 ]. % 11.40/11.55 apply (zenon_L71_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_He7 | zenon_intro zenon_Hf2 ]. % 11.40/11.55 apply (zenon_L72_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_Hb4 | zenon_intro zenon_Hed ]. % 11.40/11.55 apply (zenon_L188_); trivial. % 11.40/11.55 exact (zenon_H233 zenon_Hed). % 11.40/11.55 (* end of lemma zenon_L642_ *) % 11.40/11.55 assert (zenon_L643_ : ((op (e3) (e1)) = (e3)) -> ((op (e2) (e1)) = (e3)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> False). % 11.40/11.55 do 0 intro. intros zenon_H147 zenon_H145 zenon_H1cb. % 11.40/11.55 elim (classic ((op (e3) (e1)) = (op (e3) (e1)))); [ zenon_intro zenon_H239 | zenon_intro zenon_He9 ]. % 11.40/11.55 cut (((op (e3) (e1)) = (op (e3) (e1))) = ((op (e2) (e1)) = (op (e3) (e1)))). % 11.40/11.55 intro zenon_D_pnotp. % 11.40/11.55 apply zenon_H1cb. % 11.40/11.55 rewrite <- zenon_D_pnotp. % 11.40/11.55 exact zenon_H239. % 11.40/11.55 cut (((op (e3) (e1)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_He9]. % 11.40/11.55 cut (((op (e3) (e1)) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H262]. % 11.40/11.55 congruence. % 11.40/11.55 cut (((op (e3) (e1)) = (e3)) = ((op (e3) (e1)) = (op (e2) (e1)))). % 11.40/11.55 intro zenon_D_pnotp. % 11.40/11.55 apply zenon_H262. % 11.40/11.55 rewrite <- zenon_D_pnotp. % 11.40/11.55 exact zenon_H147. % 11.40/11.55 cut (((e3) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H176]. % 11.40/11.55 cut (((op (e3) (e1)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_He9]. % 11.40/11.55 congruence. % 11.40/11.55 apply zenon_He9. apply refl_equal. % 11.40/11.55 apply zenon_H176. apply sym_equal. exact zenon_H145. % 11.40/11.55 apply zenon_He9. apply refl_equal. % 11.40/11.55 apply zenon_He9. apply refl_equal. % 11.40/11.55 (* end of lemma zenon_L643_ *) % 11.40/11.55 assert (zenon_L644_ : (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((op (e3) (e0)) = (e2)) -> (~((e2) = (e3))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e1)) = (e3)) -> ((op (e3) (e2)) = (e1)) -> (~((e1) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> False). % 11.40/11.55 do 0 intro. intros zenon_H251 zenon_H9a zenon_H41 zenon_H1cb zenon_H145 zenon_H1d9 zenon_H3c zenon_H233. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H15e | zenon_intro zenon_H253 ]. % 11.40/11.55 apply (zenon_L302_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ]. % 11.40/11.55 apply (zenon_L643_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_Hec | zenon_intro zenon_Hed ]. % 11.40/11.55 apply (zenon_L273_); trivial. % 11.40/11.55 exact (zenon_H233 zenon_Hed). % 11.40/11.55 (* end of lemma zenon_L644_ *) % 11.40/11.55 assert (zenon_L645_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e0)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (~((e1) = (e3))) -> ((op (e2) (e1)) = (e3)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((op (e3) (e1)) = (e0)) -> ((op (e3) (e0)) = (e2)) -> False). % 11.40/11.55 do 0 intro. intros zenon_H1f0 zenon_H30 zenon_He3 zenon_H18a zenon_He5 zenon_H96 zenon_Hf0 zenon_H233 zenon_H3c zenon_H145 zenon_H1cb zenon_H41 zenon_H251 zenon_H120 zenon_H9a. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H99 | zenon_intro zenon_H1f1 ]. % 11.40/11.55 apply (zenon_L41_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_He6 | zenon_intro zenon_H1f2 ]. % 11.40/11.55 apply (zenon_L642_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H1d9 | zenon_intro zenon_He7 ]. % 11.40/11.55 apply (zenon_L644_); trivial. % 11.40/11.55 apply (zenon_L266_); trivial. % 11.40/11.55 (* end of lemma zenon_L645_ *) % 11.40/11.55 assert (zenon_L646_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> ((op (e2) (e3)) = (e0)) -> ((op (e2) (e2)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> ((op (e3) (e0)) = (e3)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> False). % 11.40/11.55 do 0 intro. intros zenon_H242 zenon_H96 zenon_H11f zenon_Hc0 zenon_H95 zenon_H18a zenon_H15e zenon_H226. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H6e | zenon_intro zenon_H243 ]. % 11.40/11.55 apply (zenon_L40_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H6f | zenon_intro zenon_H244 ]. % 11.40/11.55 apply (zenon_L640_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H152 ]. % 11.40/11.55 apply (zenon_L334_); trivial. % 11.40/11.55 apply (zenon_L438_); trivial. % 11.40/11.55 (* end of lemma zenon_L646_ *) % 11.40/11.55 assert (zenon_L647_ : (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> ((op (e2) (e2)) = (e1)) -> ((op (e2) (e0)) = (e3)) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> ((op (e3) (e1)) = (e3)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> False). % 11.40/11.55 do 0 intro. intros zenon_H263 zenon_H11f zenon_H152 zenon_H1f zenon_Hcb zenon_H18b zenon_H18a zenon_H147 zenon_H1cb. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_Hcc | zenon_intro zenon_H264 ]. % 11.40/11.55 apply (zenon_L242_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H265 ]. % 11.40/11.55 apply (zenon_L330_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H145 ]. % 11.40/11.55 apply (zenon_L184_); trivial. % 11.40/11.55 apply (zenon_L643_); trivial. % 11.40/11.55 (* end of lemma zenon_L647_ *) % 11.40/11.55 assert (zenon_L648_ : (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e3)) = (e0)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e1)) -> ((op (e2) (e0)) = (e3)) -> ((op (e2) (e2)) = (e1)) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> ((op (e3) (e2)) = (e0)) -> (~((e0) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> False). % 11.40/11.55 do 0 intro. intros zenon_H251 zenon_H226 zenon_H95 zenon_Hc0 zenon_H96 zenon_H242 zenon_H1cb zenon_H18a zenon_H18b zenon_Hcb zenon_H1f zenon_H152 zenon_H11f zenon_H263 zenon_Hf7 zenon_H34 zenon_H233. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H15e | zenon_intro zenon_H253 ]. % 11.40/11.55 apply (zenon_L646_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ]. % 11.40/11.55 apply (zenon_L647_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_Hec | zenon_intro zenon_Hed ]. % 11.40/11.55 apply (zenon_L89_); trivial. % 11.40/11.55 exact (zenon_H233 zenon_Hed). % 11.40/11.55 (* end of lemma zenon_L648_ *) % 11.40/11.55 assert (zenon_L649_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e2)) -> (~((e2) = (e3))) -> ((op (e2) (e1)) = (e3)) -> (~((e1) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e3))) -> (~((e0) = (e3))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> ((op (e2) (e2)) = (e1)) -> ((op (e2) (e0)) = (e3)) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> ((op (e2) (e3)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> False). % 11.40/11.55 do 0 intro. intros zenon_H122 zenon_H25 zenon_H1e2 zenon_H9a zenon_H41 zenon_H145 zenon_H3c zenon_Hf0 zenon_He5 zenon_He3 zenon_H30 zenon_H1f0 zenon_H233 zenon_H34 zenon_H263 zenon_H11f zenon_H152 zenon_H1f zenon_Hcb zenon_H18b zenon_H18a zenon_H1cb zenon_H242 zenon_H96 zenon_Hc0 zenon_H95 zenon_H226 zenon_H251 zenon_H9e. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H123 ]. % 11.40/11.55 apply (zenon_L261_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H120 | zenon_intro zenon_H124 ]. % 11.40/11.55 apply (zenon_L645_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H9d ]. % 11.40/11.55 apply (zenon_L648_); trivial. % 11.40/11.55 exact (zenon_H9e zenon_H9d). % 11.40/11.55 (* end of lemma zenon_L649_ *) % 11.40/11.55 assert (zenon_L650_ : ((op (e2) (e3)) = (e2)) -> ((op (e2) (e3)) = (e3)) -> (~((e2) = (e3))) -> False). % 11.40/11.55 do 0 intro. intros zenon_H18a zenon_H164 zenon_H41. % 11.40/11.55 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H35 | zenon_intro zenon_H36 ]. % 11.40/11.55 cut (((e3) = (e3)) = ((e2) = (e3))). % 11.40/11.55 intro zenon_D_pnotp. % 11.40/11.55 apply zenon_H41. % 11.40/11.55 rewrite <- zenon_D_pnotp. % 11.40/11.55 exact zenon_H35. % 11.40/11.55 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H36]. % 11.40/11.55 cut (((e3) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H42]. % 11.40/11.55 congruence. % 11.40/11.55 cut (((op (e2) (e3)) = (e2)) = ((e3) = (e2))). % 11.40/11.55 intro zenon_D_pnotp. % 11.40/11.55 apply zenon_H42. % 11.40/11.55 rewrite <- zenon_D_pnotp. % 11.40/11.55 exact zenon_H18a. % 11.40/11.55 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H29]. % 11.40/11.55 cut (((op (e2) (e3)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H266]. % 11.40/11.55 congruence. % 11.40/11.55 exact (zenon_H266 zenon_H164). % 11.40/11.55 apply zenon_H29. apply refl_equal. % 11.40/11.55 apply zenon_H36. apply refl_equal. % 11.40/11.55 apply zenon_H36. apply refl_equal. % 11.40/11.55 (* end of lemma zenon_L650_ *) % 11.40/11.55 assert (zenon_L651_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e2) (e2)) = (e3))) -> ((op (e2) (e3)) = (e2)) -> (~((e2) = (e3))) -> False). % 11.40/11.55 do 0 intro. intros zenon_H167 zenon_H3c zenon_H6f zenon_H1cb zenon_H147 zenon_He2 zenon_H18a zenon_H41. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H152 | zenon_intro zenon_H168 ]. % 11.40/11.55 apply (zenon_L136_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H145 | zenon_intro zenon_H169 ]. % 11.40/11.55 apply (zenon_L643_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_He1 | zenon_intro zenon_H164 ]. % 11.40/11.55 exact (zenon_He2 zenon_He1). % 11.40/11.55 apply (zenon_L650_); trivial. % 11.40/11.55 (* end of lemma zenon_L651_ *) % 11.40/11.55 assert (zenon_L652_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e2) = (e3))) -> (~((op (e2) (e2)) = (e3))) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e1)) -> ((op (e2) (e0)) = (e3)) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e2) (e3)) = (e2)) -> False). % 11.40/11.55 do 0 intro. intros zenon_H11b zenon_H41 zenon_He2 zenon_H3c zenon_H167 zenon_H1cb zenon_H147 zenon_H18b zenon_Hcb zenon_H1f zenon_H152 zenon_H263 zenon_H30 zenon_H18a. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H6f | zenon_intro zenon_H11d ]. % 11.40/11.55 apply (zenon_L651_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H11e ]. % 11.40/11.55 apply (zenon_L330_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H11f | zenon_intro zenon_H118 ]. % 11.40/11.55 apply (zenon_L647_); trivial. % 11.40/11.55 apply (zenon_L245_); trivial. % 11.40/11.55 (* end of lemma zenon_L652_ *) % 11.40/11.55 assert (zenon_L653_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e1) (e0)) = (e1)) -> ((op (e2) (e3)) = (e2)) -> (~((e1) = (e2))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((e0) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e0)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e1))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e2)) -> False). % 11.40/11.55 do 0 intro. intros zenon_H161 zenon_H6d zenon_H18a zenon_H30 zenon_H263 zenon_H1f zenon_Hcb zenon_H18b zenon_H1cb zenon_H167 zenon_H3c zenon_He2 zenon_H11b zenon_Hfa zenon_H192 zenon_Hcf zenon_H19c zenon_H9e zenon_H251 zenon_H226 zenon_H95 zenon_Hc0 zenon_H242 zenon_H34 zenon_H233 zenon_H1f0 zenon_He3 zenon_He5 zenon_Hf0 zenon_H1e2 zenon_H25 zenon_H122 zenon_H20 zenon_H79 zenon_H148 zenon_H41 zenon_H9a. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ]. % 11.40/11.55 apply (zenon_L7_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ]. % 11.40/11.55 apply (zenon_L123_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ]. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H39 | zenon_intro zenon_H149 ]. % 11.40/11.55 apply (zenon_L130_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H78 | zenon_intro zenon_H14a ]. % 11.40/11.55 exact (zenon_H79 zenon_H78). % 11.40/11.55 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H145 | zenon_intro zenon_H147 ]. % 11.40/11.55 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H6e | zenon_intro zenon_Hfc ]. % 11.40/11.55 apply (zenon_L161_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hfd ]. % 11.40/11.55 apply (zenon_L403_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hce | zenon_intro zenon_H96 ]. % 11.40/11.55 exact (zenon_Hcf zenon_Hce). % 11.40/11.55 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H6f | zenon_intro zenon_H11d ]. % 11.40/11.55 apply (zenon_L641_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H11e ]. % 11.40/11.55 apply (zenon_L330_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H11f | zenon_intro zenon_H118 ]. % 11.40/11.55 apply (zenon_L649_); trivial. % 11.40/11.55 apply (zenon_L166_); trivial. % 11.40/11.55 apply (zenon_L652_); trivial. % 11.40/11.55 apply (zenon_L302_); trivial. % 11.40/11.55 (* end of lemma zenon_L653_ *) % 11.40/11.55 assert (zenon_L654_ : (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e3)) = (e0)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e1)) -> ((op (e2) (e0)) = (e3)) -> ((op (e2) (e2)) = (e1)) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> ((op (e3) (e2)) = (e2)) -> (~((e2) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> False). % 11.40/11.55 do 0 intro. intros zenon_H251 zenon_H226 zenon_H95 zenon_Hc0 zenon_H96 zenon_H242 zenon_H1cb zenon_H18a zenon_H18b zenon_Hcb zenon_H1f zenon_H152 zenon_H11f zenon_H263 zenon_Hae zenon_H41 zenon_H233. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H15e | zenon_intro zenon_H253 ]. % 11.40/11.55 apply (zenon_L646_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ]. % 11.40/11.55 apply (zenon_L647_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_Hec | zenon_intro zenon_Hed ]. % 11.40/11.55 apply (zenon_L271_); trivial. % 11.40/11.55 exact (zenon_H233 zenon_Hed). % 11.40/11.55 (* end of lemma zenon_L654_ *) % 11.40/11.55 assert (zenon_L655_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e3))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (e3))) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e1) (e0)) = (e1)) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e0) = (e2))) -> ((op (e3) (e1)) = (e0)) -> (~((op (e3) (e3)) = (e3))) -> (~((e2) = (e3))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> ((op (e2) (e2)) = (e1)) -> ((op (e2) (e0)) = (e3)) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> ((op (e2) (e3)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> False). % 11.40/11.55 do 0 intro. intros zenon_Hb0 zenon_H148 zenon_H79 zenon_H20 zenon_H122 zenon_H25 zenon_H1e2 zenon_Hf0 zenon_He5 zenon_H1f0 zenon_H34 zenon_H9e zenon_H19c zenon_Hcf zenon_H192 zenon_Hfa zenon_H11b zenon_He2 zenon_H3c zenon_H167 zenon_H30 zenon_H6d zenon_H161 zenon_H27 zenon_H120 zenon_H233 zenon_H41 zenon_H263 zenon_H11f zenon_H152 zenon_H1f zenon_Hcb zenon_H18b zenon_H1cb zenon_H242 zenon_H96 zenon_Hc0 zenon_H95 zenon_H226 zenon_H251 zenon_He3 zenon_H18a. % 11.40/11.55 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H9a | zenon_intro zenon_Hb2 ]. % 11.40/11.55 apply (zenon_L653_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Hb3 ]. % 11.40/11.55 apply (zenon_L98_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_Hae | zenon_intro zenon_Hb4 ]. % 11.40/11.55 apply (zenon_L654_); trivial. % 11.40/11.55 apply (zenon_L188_); trivial. % 11.40/11.55 (* end of lemma zenon_L655_ *) % 11.40/11.55 assert (zenon_L656_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> ((op (e2) (e1)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> ((op (e3) (e0)) = (e3)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> False). % 11.40/11.55 do 0 intro. intros zenon_H242 zenon_Hcc zenon_Hc4 zenon_H6d zenon_H16c zenon_H95 zenon_H18a zenon_H15e zenon_H226. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H6e | zenon_intro zenon_H243 ]. % 11.40/11.55 apply (zenon_L464_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H6f | zenon_intro zenon_H244 ]. % 11.40/11.55 apply (zenon_L149_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H152 ]. % 11.40/11.55 apply (zenon_L334_); trivial. % 11.40/11.55 apply (zenon_L438_); trivial. % 11.40/11.55 (* end of lemma zenon_L656_ *) % 11.40/11.55 assert (zenon_L657_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> ((op (e2) (e3)) = (e0)) -> ((op (e2) (e1)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> ((op (e3) (e0)) = (e3)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> False). % 11.40/11.55 do 0 intro. intros zenon_H242 zenon_H96 zenon_Hc5 zenon_Hc4 zenon_H95 zenon_H18a zenon_H15e zenon_H226. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H6e | zenon_intro zenon_H243 ]. % 11.40/11.55 apply (zenon_L40_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H6f | zenon_intro zenon_H244 ]. % 11.40/11.55 apply (zenon_L53_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H152 ]. % 11.40/11.55 apply (zenon_L334_); trivial. % 11.40/11.55 apply (zenon_L438_); trivial. % 11.40/11.55 (* end of lemma zenon_L657_ *) % 11.40/11.55 assert (zenon_L658_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e2) (e2)) = (e0))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> ((op (e3) (e0)) = (e3)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> False). % 11.40/11.55 do 0 intro. intros zenon_Hfa zenon_H25 zenon_H1aa zenon_H16c zenon_H6d zenon_Hcf zenon_H242 zenon_Hc5 zenon_Hc4 zenon_H95 zenon_H18a zenon_H15e zenon_H226. % 11.40/11.55 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H6e | zenon_intro zenon_Hfc ]. % 11.40/11.55 apply (zenon_L624_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hfd ]. % 11.40/11.55 apply (zenon_L656_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hce | zenon_intro zenon_H96 ]. % 11.40/11.55 exact (zenon_Hcf zenon_Hce). % 11.40/11.55 apply (zenon_L657_); trivial. % 11.40/11.55 (* end of lemma zenon_L658_ *) % 11.40/11.55 assert (zenon_L659_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e0))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e0)) = (e0)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e3)) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((e0) = (e1))) -> False). % 11.40/11.55 do 0 intro. intros zenon_H11b zenon_He2 zenon_H192 zenon_H19c zenon_Hc4 zenon_Hcf zenon_H6d zenon_H16c zenon_H1aa zenon_H25 zenon_Hfa zenon_H226 zenon_H15e zenon_H18a zenon_H95 zenon_Hc0 zenon_H242 zenon_H20. % 11.40/11.55 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H6e | zenon_intro zenon_Hfc ]. % 11.40/11.55 apply (zenon_L624_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hfd ]. % 11.40/11.55 apply (zenon_L656_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hce | zenon_intro zenon_H96 ]. % 11.40/11.55 exact (zenon_Hcf zenon_Hce). % 11.40/11.55 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H6f | zenon_intro zenon_H11d ]. % 11.40/11.55 apply (zenon_L641_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H11e ]. % 11.40/11.55 apply (zenon_L658_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H11f | zenon_intro zenon_H118 ]. % 11.40/11.55 apply (zenon_L646_); trivial. % 11.40/11.55 apply (zenon_L166_); trivial. % 11.40/11.55 (* end of lemma zenon_L659_ *) % 11.40/11.55 assert (zenon_L660_ : (~((e1) = (e2))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e2) = (e3))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e3))) -> (~((e0) = (e3))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e0))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e0)) = (e0)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((e0) = (e1))) -> False). % 11.40/11.55 do 0 intro. intros zenon_H30 zenon_He3 zenon_H41 zenon_H27 zenon_H161 zenon_H167 zenon_H3c zenon_H1f0 zenon_He5 zenon_Hf0 zenon_H1e2 zenon_H122 zenon_H79 zenon_H148 zenon_Hb0 zenon_H233 zenon_H34 zenon_H263 zenon_H1f zenon_Hcb zenon_H18b zenon_H1cb zenon_H251 zenon_H9e zenon_H11b zenon_He2 zenon_H192 zenon_H19c zenon_Hc4 zenon_Hcf zenon_H6d zenon_H16c zenon_H1aa zenon_H25 zenon_Hfa zenon_H226 zenon_H18a zenon_H95 zenon_Hc0 zenon_H242 zenon_H20. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ]. % 11.40/11.55 apply (zenon_L7_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ]. % 11.40/11.55 apply (zenon_L123_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ]. % 11.40/11.55 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H6e | zenon_intro zenon_Hfc ]. % 11.40/11.55 apply (zenon_L624_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hfd ]. % 11.40/11.55 apply (zenon_L639_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hce | zenon_intro zenon_H96 ]. % 11.40/11.55 exact (zenon_Hcf zenon_Hce). % 11.40/11.55 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H6f | zenon_intro zenon_H11d ]. % 11.40/11.55 apply (zenon_L641_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H11e ]. % 11.40/11.55 apply (zenon_L330_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H11f | zenon_intro zenon_H118 ]. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H123 ]. % 11.40/11.55 apply (zenon_L261_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H120 | zenon_intro zenon_H124 ]. % 11.40/11.55 apply (zenon_L655_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H9d ]. % 11.40/11.55 apply (zenon_L648_); trivial. % 11.40/11.55 exact (zenon_H9e zenon_H9d). % 11.40/11.55 apply (zenon_L245_); trivial. % 11.40/11.55 apply (zenon_L659_); trivial. % 11.40/11.55 (* end of lemma zenon_L660_ *) % 11.40/11.55 assert (zenon_L661_ : (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e0) = (e2))) -> (~((e0) = (e1))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e2)) -> (~((e1) = (e3))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e2) (e2)) = (e3))) -> (~((e0) = (e3))) -> False). % 11.40/11.55 do 0 intro. intros zenon_Hfb zenon_H27 zenon_H20 zenon_Hcf zenon_Hf3 zenon_H41 zenon_H2f zenon_H3c zenon_H88 zenon_He2 zenon_H34. % 11.40/11.55 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hd0 | zenon_intro zenon_Hfe ]. % 11.40/11.55 apply (zenon_L57_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_He0 | zenon_intro zenon_Hff ]. % 11.40/11.55 apply (zenon_L92_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Hce | zenon_intro zenon_Hf7 ]. % 11.40/11.55 exact (zenon_Hcf zenon_Hce). % 11.40/11.55 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H3b | zenon_intro zenon_Hf4 ]. % 11.40/11.55 apply (zenon_L13_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H89 | zenon_intro zenon_Hf5 ]. % 11.40/11.55 apply (zenon_L35_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_He1 | zenon_intro zenon_Hec ]. % 11.40/11.55 exact (zenon_He2 zenon_He1). % 11.40/11.55 apply (zenon_L89_); trivial. % 11.40/11.55 (* end of lemma zenon_L661_ *) % 11.40/11.55 assert (zenon_L662_ : (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> ((op (e3) (e0)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> False). % 11.40/11.55 do 0 intro. intros zenon_Hf0 zenon_Hc3 zenon_H99 zenon_H15d zenon_H18a zenon_He3 zenon_H233. % 11.40/11.55 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf1 ]. % 11.40/11.55 apply (zenon_L548_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_He7 | zenon_intro zenon_Hf2 ]. % 11.40/11.55 apply (zenon_L262_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_Hb4 | zenon_intro zenon_Hed ]. % 11.40/11.55 apply (zenon_L188_); trivial. % 11.40/11.55 exact (zenon_H233 zenon_Hed). % 11.40/11.55 (* end of lemma zenon_L662_ *) % 11.40/11.55 assert (zenon_L663_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e1)) = (e3)) -> (~((e1) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e0)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e2))) -> ((op (e3) (e1)) = (e0)) -> ((op (e3) (e2)) = (e3)) -> (~((e2) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> False). % 11.40/11.55 do 0 intro. intros zenon_Hb0 zenon_H251 zenon_H1cb zenon_H145 zenon_H3c zenon_H233 zenon_Hf0 zenon_H96 zenon_He5 zenon_H30 zenon_H1f0 zenon_H27 zenon_H120 zenon_Hec zenon_H41 zenon_He3 zenon_H18a. % 11.40/11.55 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H9a | zenon_intro zenon_Hb2 ]. % 11.40/11.55 apply (zenon_L645_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Hb3 ]. % 11.40/11.55 apply (zenon_L98_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_Hae | zenon_intro zenon_Hb4 ]. % 11.40/11.55 apply (zenon_L271_); trivial. % 11.40/11.55 apply (zenon_L188_); trivial. % 11.40/11.55 (* end of lemma zenon_L663_ *) % 11.40/11.55 assert (zenon_L664_ : (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e0) (e2)) = (e2)) -> ((op (e1) (e0)) = (e3)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> ((op (e0) (e3)) = (e3)) -> (~((e0) = (e1))) -> ((op (e1) (e3)) = (e1)) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e2) = (e3))) -> ((op (e3) (e1)) = (e0)) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (~((e1) = (e3))) -> ((op (e2) (e1)) = (e3)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e0))) -> False). % 11.40/11.55 do 0 intro. intros zenon_Hf3 zenon_H2f zenon_H75 zenon_H10e zenon_He2 zenon_Hb9 zenon_H34 zenon_H40 zenon_H20 zenon_H90 zenon_H18a zenon_He3 zenon_H41 zenon_H120 zenon_H27 zenon_H1f0 zenon_H30 zenon_He5 zenon_Hf0 zenon_H233 zenon_H3c zenon_H145 zenon_H1cb zenon_H251 zenon_Hb0 zenon_H9e. % 11.40/11.55 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H3b | zenon_intro zenon_Hf4 ]. % 11.40/11.55 apply (zenon_L13_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H89 | zenon_intro zenon_Hf5 ]. % 11.40/11.55 apply (zenon_L229_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_He1 | zenon_intro zenon_Hec ]. % 11.40/11.55 exact (zenon_He2 zenon_He1). % 11.40/11.55 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H72 | zenon_intro zenon_Hbe ]. % 11.40/11.55 apply (zenon_L379_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H7a | zenon_intro zenon_Hbf ]. % 11.40/11.55 apply (zenon_L38_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H96 | zenon_intro zenon_H9d ]. % 11.40/11.55 apply (zenon_L663_); trivial. % 11.40/11.55 exact (zenon_H9e zenon_H9d). % 11.40/11.55 (* end of lemma zenon_L664_ *) % 11.40/11.55 assert (zenon_L665_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e1)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e1)) = (e3)) -> (~((e1) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e2))) -> (~((e2) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e1))) -> ((op (e0) (e3)) = (e3)) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e3)) -> ((op (e0) (e2)) = (e2)) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e0) = (e3))) -> (~((op (e3) (e3)) = (e0))) -> False). % 11.40/11.55 do 0 intro. intros zenon_H122 zenon_H15d zenon_H99 zenon_Hb0 zenon_H251 zenon_H1cb zenon_H145 zenon_H3c zenon_H233 zenon_Hf0 zenon_He5 zenon_H30 zenon_H1f0 zenon_H27 zenon_H41 zenon_He3 zenon_H18a zenon_H90 zenon_H20 zenon_H40 zenon_Hb9 zenon_He2 zenon_H10e zenon_H75 zenon_H2f zenon_Hf3 zenon_H34 zenon_H9e. % 11.40/11.55 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H3b | zenon_intro zenon_Hf4 ]. % 11.40/11.55 apply (zenon_L13_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H89 | zenon_intro zenon_Hf5 ]. % 11.40/11.55 apply (zenon_L229_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_He1 | zenon_intro zenon_Hec ]. % 11.40/11.55 exact (zenon_He2 zenon_He1). % 11.40/11.55 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H123 ]. % 11.40/11.55 apply (zenon_L662_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H120 | zenon_intro zenon_H124 ]. % 11.40/11.55 apply (zenon_L664_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H9d ]. % 11.40/11.55 apply (zenon_L89_); trivial. % 11.40/11.55 exact (zenon_H9e zenon_H9d). % 11.40/11.55 (* end of lemma zenon_L665_ *) % 11.40/11.55 assert (zenon_L666_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e2) = (e3))) -> (~((op (e2) (e2)) = (e3))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e3)) -> ((op (e2) (e1)) = (e0)) -> (~((e1) = (e2))) -> ((op (e2) (e3)) = (e2)) -> False). % 11.40/11.55 do 0 intro. intros zenon_H11b zenon_H41 zenon_He2 zenon_H147 zenon_H1cb zenon_H3c zenon_H167 zenon_H1f zenon_Hcb zenon_H152 zenon_Hcc zenon_H30 zenon_H18a. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H6f | zenon_intro zenon_H11d ]. % 11.40/11.55 apply (zenon_L651_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H11e ]. % 11.40/11.55 apply (zenon_L330_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H11f | zenon_intro zenon_H118 ]. % 11.40/11.55 apply (zenon_L242_); trivial. % 11.40/11.55 apply (zenon_L245_); trivial. % 11.40/11.55 (* end of lemma zenon_L666_ *) % 11.40/11.55 assert (zenon_L667_ : (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e3)) -> ((op (e2) (e3)) = (e3)) -> False). % 11.40/11.55 do 0 intro. intros zenon_H16e zenon_H40 zenon_H164. % 11.40/11.55 cut (((op (e0) (e3)) = (e3)) = ((op (e0) (e3)) = (op (e2) (e3)))). % 11.40/11.55 intro zenon_D_pnotp. % 11.40/11.55 apply zenon_H16e. % 11.40/11.55 rewrite <- zenon_D_pnotp. % 11.40/11.55 exact zenon_H40. % 11.40/11.55 cut (((e3) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H166]. % 11.40/11.55 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H64]. % 11.40/11.55 congruence. % 11.40/11.55 apply zenon_H64. apply refl_equal. % 11.40/11.55 apply zenon_H166. apply sym_equal. exact zenon_H164. % 11.40/11.55 (* end of lemma zenon_L667_ *) % 11.40/11.55 assert (zenon_L668_ : ((op (e2) (e3)) = (e2)) -> (~((e1) = (e2))) -> ((op (e2) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e1)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e3)) -> False). % 11.40/11.55 do 0 intro. intros zenon_H18a zenon_H30 zenon_Hcc zenon_Hcb zenon_H1f zenon_H167 zenon_H3c zenon_H41 zenon_H11b zenon_H1cb zenon_H147 zenon_He2 zenon_H16e zenon_H40. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H152 | zenon_intro zenon_H168 ]. % 11.40/11.55 apply (zenon_L666_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H145 | zenon_intro zenon_H169 ]. % 11.40/11.55 apply (zenon_L643_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_He1 | zenon_intro zenon_H164 ]. % 11.40/11.55 exact (zenon_He2 zenon_He1). % 11.40/11.55 apply (zenon_L667_); trivial. % 11.40/11.55 (* end of lemma zenon_L668_ *) % 11.40/11.55 assert (zenon_L669_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e3) (e3)) = (e0))) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e0) (e2)) = (e2)) -> ((op (e1) (e0)) = (e3)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e1))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e3) (e0)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e2) (e3)) = (e2)) -> (~((e1) = (e2))) -> ((op (e2) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e1)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e3)) -> False). % 11.40/11.55 do 0 intro. intros zenon_H148 zenon_H79 zenon_H9e zenon_H34 zenon_Hf3 zenon_H2f zenon_H75 zenon_H10e zenon_Hb9 zenon_H20 zenon_H90 zenon_He3 zenon_H27 zenon_H1f0 zenon_He5 zenon_Hf0 zenon_H233 zenon_H251 zenon_Hb0 zenon_H99 zenon_H15d zenon_H122 zenon_H18a zenon_H30 zenon_Hcc zenon_Hcb zenon_H1f zenon_H167 zenon_H3c zenon_H41 zenon_H11b zenon_H1cb zenon_He2 zenon_H16e zenon_H40. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H39 | zenon_intro zenon_H149 ]. % 11.40/11.55 apply (zenon_L130_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H78 | zenon_intro zenon_H14a ]. % 11.40/11.55 exact (zenon_H79 zenon_H78). % 11.40/11.55 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H145 | zenon_intro zenon_H147 ]. % 11.40/11.55 apply (zenon_L665_); trivial. % 11.40/11.55 apply (zenon_L668_); trivial. % 11.40/11.55 (* end of lemma zenon_L669_ *) % 11.40/11.55 assert (zenon_L670_ : (~((e0) = (e3))) -> ((op (e3) (e1)) = (e3)) -> ((op (e3) (e1)) = (e0)) -> False). % 11.40/11.55 do 0 intro. intros zenon_H34 zenon_H147 zenon_H120. % 11.40/11.55 cut (((op (e3) (e1)) = (e3)) = ((e0) = (e3))). % 11.40/11.55 intro zenon_D_pnotp. % 11.40/11.55 apply zenon_H34. % 11.40/11.55 rewrite <- zenon_D_pnotp. % 11.40/11.55 exact zenon_H147. % 11.40/11.55 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H36]. % 11.40/11.55 cut (((op (e3) (e1)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H267]. % 11.40/11.55 congruence. % 11.40/11.55 exact (zenon_H267 zenon_H120). % 11.40/11.55 apply zenon_H36. apply refl_equal. % 11.40/11.55 (* end of lemma zenon_L670_ *) % 11.40/11.55 assert (zenon_L671_ : (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((e1) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e2))) -> (~((e2) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((e0) = (e1))) -> ((op (e0) (e3)) = (e3)) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e3)) -> ((op (e0) (e2)) = (e2)) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e3) (e1)) = (e0)) -> False). % 11.40/11.55 do 0 intro. intros zenon_H92 zenon_H10b zenon_Hcf zenon_Hfb zenon_H148 zenon_H1f zenon_H79 zenon_H9e zenon_Hb0 zenon_H251 zenon_H1cb zenon_H3c zenon_H233 zenon_Hf0 zenon_He5 zenon_H30 zenon_H1f0 zenon_H27 zenon_H41 zenon_He3 zenon_H18a zenon_H20 zenon_H40 zenon_Hb9 zenon_He2 zenon_H10e zenon_H75 zenon_H2f zenon_Hf3 zenon_H34 zenon_H120. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H6d | zenon_intro zenon_H93 ]. % 11.40/11.55 apply (zenon_L123_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H56 | zenon_intro zenon_H94 ]. % 11.40/11.55 apply (zenon_L223_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H88 | zenon_intro zenon_H90 ]. % 11.40/11.55 apply (zenon_L661_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H39 | zenon_intro zenon_H149 ]. % 11.40/11.55 apply (zenon_L130_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H78 | zenon_intro zenon_H14a ]. % 11.40/11.55 exact (zenon_H79 zenon_H78). % 11.40/11.55 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H145 | zenon_intro zenon_H147 ]. % 11.40/11.55 apply (zenon_L664_); trivial. % 11.40/11.55 apply (zenon_L670_); trivial. % 11.40/11.55 (* end of lemma zenon_L671_ *) % 11.40/11.55 assert (zenon_L672_ : (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e0)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> (~((e2) = (e3))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> ((op (e2) (e0)) = (e3)) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e3))) -> False). % 11.40/11.55 do 0 intro. intros zenon_H203 zenon_H207 zenon_H148 zenon_H79 zenon_H20 zenon_Hb0 zenon_H9e zenon_H1f0 zenon_H30 zenon_He5 zenon_Hf0 zenon_H3c zenon_H1e2 zenon_H25 zenon_H122 zenon_H27 zenon_H233 zenon_H41 zenon_H263 zenon_H152 zenon_H1f zenon_Hcb zenon_H18b zenon_H1cb zenon_H242 zenon_Hc0 zenon_H95 zenon_H226 zenon_H251 zenon_He3 zenon_H18a zenon_H11b zenon_Hcf zenon_Hfa zenon_H34. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H1e | zenon_intro zenon_H204 ]. % 11.40/11.55 apply (zenon_L2_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H10c | zenon_intro zenon_H205 ]. % 11.40/11.55 exact (zenon_H207 zenon_H10c). % 11.40/11.55 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_Hcc | zenon_intro zenon_H120 ]. % 11.40/11.55 apply (zenon_L403_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H39 | zenon_intro zenon_H149 ]. % 11.40/11.55 apply (zenon_L130_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H78 | zenon_intro zenon_H14a ]. % 11.40/11.55 exact (zenon_H79 zenon_H78). % 11.40/11.55 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H145 | zenon_intro zenon_H147 ]. % 11.40/11.55 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H6e | zenon_intro zenon_Hfc ]. % 11.40/11.55 apply (zenon_L161_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hfd ]. % 11.40/11.55 apply (zenon_L403_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hce | zenon_intro zenon_H96 ]. % 11.40/11.55 exact (zenon_Hcf zenon_Hce). % 11.40/11.55 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H6f | zenon_intro zenon_H11d ]. % 11.40/11.55 apply (zenon_L136_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H11e ]. % 11.40/11.55 apply (zenon_L330_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H11f | zenon_intro zenon_H118 ]. % 11.40/11.55 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H9a | zenon_intro zenon_Hb2 ]. % 11.40/11.55 apply (zenon_L649_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Hb3 ]. % 11.40/11.55 apply (zenon_L98_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_Hae | zenon_intro zenon_Hb4 ]. % 11.40/11.55 apply (zenon_L654_); trivial. % 11.40/11.55 apply (zenon_L188_); trivial. % 11.40/11.55 apply (zenon_L166_); trivial. % 11.40/11.55 apply (zenon_L670_); trivial. % 11.40/11.55 (* end of lemma zenon_L672_ *) % 11.40/11.55 assert (zenon_L673_ : (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e0))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> False). % 11.40/11.55 do 0 intro. intros zenon_H19c zenon_Hcf zenon_H2e zenon_H65 zenon_H18a zenon_H192 zenon_He2. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_Hce | zenon_intro zenon_H19d ]. % 11.40/11.55 exact (zenon_Hcf zenon_Hce). % 11.40/11.55 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H11f | zenon_intro zenon_H19e ]. % 11.40/11.55 apply (zenon_L578_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H5a | zenon_intro zenon_He1 ]. % 11.40/11.55 apply (zenon_L186_); trivial. % 11.40/11.55 exact (zenon_He2 zenon_He1). % 11.40/11.55 (* end of lemma zenon_L673_ *) % 11.40/11.55 assert (zenon_L674_ : (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e3)) = (e1)) -> (~((e0) = (e3))) -> ((op (e1) (e3)) = (e0)) -> (~((e2) = (e3))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e3) (e3)) = (e3))) -> False). % 11.40/11.55 do 0 intro. intros zenon_H236 zenon_H3c zenon_H47 zenon_H34 zenon_H7a zenon_H41 zenon_H18a zenon_H233. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H40 | zenon_intro zenon_H237 ]. % 11.40/11.55 apply (zenon_L14_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H8b | zenon_intro zenon_H238 ]. % 11.40/11.55 apply (zenon_L36_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H164 | zenon_intro zenon_Hed ]. % 11.40/11.55 apply (zenon_L650_); trivial. % 11.40/11.55 exact (zenon_H233 zenon_Hed). % 11.40/11.55 (* end of lemma zenon_L674_ *) % 11.40/11.55 assert (zenon_L675_ : (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e0)) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> False). % 11.40/11.55 do 0 intro. intros zenon_Hf0 zenon_H96 zenon_H47 zenon_H13a zenon_H18a zenon_He3 zenon_H233. % 11.40/11.55 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf1 ]. % 11.40/11.55 apply (zenon_L71_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_He7 | zenon_intro zenon_Hf2 ]. % 11.40/11.55 apply (zenon_L507_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_Hb4 | zenon_intro zenon_Hed ]. % 11.40/11.55 apply (zenon_L188_); trivial. % 11.40/11.55 exact (zenon_H233 zenon_Hed). % 11.40/11.55 (* end of lemma zenon_L675_ *) % 11.40/11.55 assert (zenon_L676_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e1))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e1)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> False). % 11.40/11.55 do 0 intro. intros zenon_Hb9 zenon_H20 zenon_H41 zenon_H34 zenon_H3c zenon_H236 zenon_H233 zenon_He3 zenon_H18a zenon_H13a zenon_H47 zenon_Hf0 zenon_H9e. % 11.40/11.55 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H72 | zenon_intro zenon_Hbe ]. % 11.40/11.55 apply (zenon_L182_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H7a | zenon_intro zenon_Hbf ]. % 11.40/11.55 apply (zenon_L674_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H96 | zenon_intro zenon_H9d ]. % 11.40/11.55 apply (zenon_L675_); trivial. % 11.40/11.55 exact (zenon_H9e zenon_H9d). % 11.40/11.55 (* end of lemma zenon_L676_ *) % 11.40/11.55 assert (zenon_L677_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e0) = (e1))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e3) (e0)) = (e3)) -> False). % 11.40/11.55 do 0 intro. intros zenon_Hb7 zenon_H20 zenon_H242 zenon_H95 zenon_H226 zenon_Hfa zenon_H25 zenon_H1aa zenon_H16c zenon_Hc4 zenon_H11b zenon_He2 zenon_H192 zenon_H18a zenon_Hc0 zenon_Hcf zenon_H19c zenon_H3c zenon_H15e. % 11.40/11.55 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ]. % 11.40/11.55 apply (zenon_L129_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ]. % 11.40/11.55 apply (zenon_L659_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ]. % 11.40/11.55 apply (zenon_L641_); trivial. % 11.40/11.55 apply (zenon_L196_); trivial. % 11.40/11.55 (* end of lemma zenon_L677_ *) % 11.40/11.55 assert (zenon_L678_ : ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> ((op (e1) (e0)) = (e1)) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((e1) = (e2))) -> ((op (e2) (e3)) = (e2)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e0) (e0)) = (e0)) -> (~((e0) = (e1))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> False). % 11.40/11.55 do 0 intro. intros zenon_H1fb zenon_H4c zenon_H236 zenon_H13a zenon_Hb9 zenon_H65 zenon_H34 zenon_H3c zenon_H6d zenon_H19c zenon_He2 zenon_H192 zenon_Hc0 zenon_H161 zenon_H79 zenon_Hfa zenon_H122 zenon_H242 zenon_H226 zenon_H95 zenon_H263 zenon_H18b zenon_Hf0 zenon_H233 zenon_He5 zenon_He3 zenon_H251 zenon_H1cb zenon_H41 zenon_H1f0 zenon_H167 zenon_H148 zenon_H27 zenon_Hb0 zenon_H1e2 zenon_H16c zenon_Hcb zenon_H30 zenon_H18a zenon_H11b zenon_H1aa zenon_Hc4 zenon_H25 zenon_H20 zenon_H1fa. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_Hcf | zenon_intro zenon_Hb5 ]. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H9e | zenon_intro zenon_H15e ]. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.40/11.55 apply (zenon_L129_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.40/11.55 apply (zenon_L660_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.40/11.55 apply (zenon_L673_); trivial. % 11.40/11.55 apply (zenon_L676_); trivial. % 11.40/11.55 apply (zenon_L659_); trivial. % 11.40/11.55 apply (zenon_L334_); trivial. % 11.40/11.55 (* end of lemma zenon_L678_ *) % 11.40/11.55 assert (zenon_L679_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e3)) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e1))) -> (~((e1) = (e2))) -> ((op (e2) (e3)) = (e2)) -> False). % 11.40/11.55 do 0 intro. intros zenon_H11b zenon_H3c zenon_H152 zenon_H56 zenon_H157 zenon_H11c zenon_H30 zenon_H18a. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H6f | zenon_intro zenon_H11d ]. % 11.40/11.55 apply (zenon_L136_); trivial. % 11.40/11.55 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H11e ]. % 11.40/11.56 apply (zenon_L239_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H11f | zenon_intro zenon_H118 ]. % 11.40/11.56 exact (zenon_H11c zenon_H11f). % 11.40/11.56 apply (zenon_L245_); trivial. % 11.40/11.56 (* end of lemma zenon_L679_ *) % 11.40/11.56 assert (zenon_L680_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e0) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e3))) -> ((op (e2) (e3)) = (e2)) -> (~((e2) = (e3))) -> False). % 11.40/11.56 do 0 intro. intros zenon_H167 zenon_H30 zenon_H11c zenon_H157 zenon_H56 zenon_H3c zenon_H11b zenon_H39 zenon_Hcb zenon_He2 zenon_H18a zenon_H41. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H152 | zenon_intro zenon_H168 ]. % 11.40/11.56 apply (zenon_L679_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H145 | zenon_intro zenon_H169 ]. % 11.40/11.56 apply (zenon_L162_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_He1 | zenon_intro zenon_H164 ]. % 11.40/11.56 exact (zenon_He2 zenon_He1). % 11.40/11.56 apply (zenon_L650_); trivial. % 11.40/11.56 (* end of lemma zenon_L680_ *) % 11.40/11.56 assert (zenon_L681_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e0)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e2)) = (e3)) -> (~((e1) = (e3))) -> (~((op (e3) (e3)) = (e1))) -> False). % 11.40/11.56 do 0 intro. intros zenon_H1f0 zenon_H233 zenon_He3 zenon_H18a zenon_H15d zenon_Hc3 zenon_Hf0 zenon_H56 zenon_H1f3 zenon_Hec zenon_H3c zenon_H1e5. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H99 | zenon_intro zenon_H1f1 ]. % 11.40/11.56 apply (zenon_L662_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_He6 | zenon_intro zenon_H1f2 ]. % 11.40/11.56 apply (zenon_L278_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H1d9 | zenon_intro zenon_He7 ]. % 11.40/11.56 apply (zenon_L273_); trivial. % 11.40/11.56 exact (zenon_H1e5 zenon_He7). % 11.40/11.56 (* end of lemma zenon_L681_ *) % 11.40/11.56 assert (zenon_L682_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> ((op (e3) (e0)) = (e2)) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e2)) = (e3)) -> (~((e1) = (e3))) -> (~((op (e3) (e3)) = (e1))) -> False). % 11.40/11.56 do 0 intro. intros zenon_H1f0 zenon_H30 zenon_H9a zenon_H56 zenon_H1f3 zenon_Hec zenon_H3c zenon_H1e5. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H99 | zenon_intro zenon_H1f1 ]. % 11.40/11.56 apply (zenon_L41_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_He6 | zenon_intro zenon_H1f2 ]. % 11.40/11.56 apply (zenon_L278_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H1d9 | zenon_intro zenon_He7 ]. % 11.40/11.56 apply (zenon_L273_); trivial. % 11.40/11.56 exact (zenon_H1e5 zenon_He7). % 11.40/11.56 (* end of lemma zenon_L682_ *) % 11.40/11.56 assert (zenon_L683_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e1))) -> (~((e1) = (e3))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e2))) -> ((op (e3) (e1)) = (e0)) -> ((op (e3) (e2)) = (e3)) -> (~((e2) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> False). % 11.40/11.56 do 0 intro. intros zenon_Hb0 zenon_H1e5 zenon_H3c zenon_H1f3 zenon_H56 zenon_H30 zenon_H1f0 zenon_H27 zenon_H120 zenon_Hec zenon_H41 zenon_He3 zenon_H18a. % 11.40/11.56 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H9a | zenon_intro zenon_Hb2 ]. % 11.40/11.56 apply (zenon_L682_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Hb3 ]. % 11.40/11.56 apply (zenon_L98_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_Hae | zenon_intro zenon_Hb4 ]. % 11.40/11.56 apply (zenon_L271_); trivial. % 11.40/11.56 apply (zenon_L188_); trivial. % 11.40/11.56 (* end of lemma zenon_L683_ *) % 11.40/11.56 assert (zenon_L684_ : (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e1)) -> ((op (e1) (e0)) = (e3)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> (~((e0) = (e3))) -> ((op (e3) (e2)) = (e0)) -> False). % 11.40/11.56 do 0 intro. intros zenon_Hf3 zenon_H3c zenon_H2e zenon_H75 zenon_H10e zenon_He2 zenon_H34 zenon_Hf7. % 11.40/11.56 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H3b | zenon_intro zenon_Hf4 ]. % 11.40/11.56 apply (zenon_L9_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H89 | zenon_intro zenon_Hf5 ]. % 11.40/11.56 apply (zenon_L229_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_He1 | zenon_intro zenon_Hec ]. % 11.40/11.56 exact (zenon_He2 zenon_He1). % 11.40/11.56 apply (zenon_L89_); trivial. % 11.40/11.56 (* end of lemma zenon_L684_ *) % 11.40/11.56 assert (zenon_L685_ : (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e2) (e1)) = (e3)) -> ((op (e2) (e0)) = (e1)) -> (~((op (e2) (e2)) = (e1))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> False). % 11.40/11.56 do 0 intro. intros zenon_H19c zenon_H145 zenon_H6f zenon_H11c zenon_Hae zenon_Had zenon_He2. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_Hce | zenon_intro zenon_H19d ]. % 11.40/11.56 apply (zenon_L174_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H11f | zenon_intro zenon_H19e ]. % 11.40/11.56 exact (zenon_H11c zenon_H11f). % 11.40/11.56 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H5a | zenon_intro zenon_He1 ]. % 11.40/11.56 apply (zenon_L46_); trivial. % 11.40/11.56 exact (zenon_He2 zenon_He1). % 11.40/11.56 (* end of lemma zenon_L685_ *) % 11.40/11.56 assert (zenon_L686_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e3))) -> (~((e1) = (e3))) -> ((op (e3) (e2)) = (e1)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> ((op (e2) (e0)) = (e1)) -> ((op (e2) (e1)) = (e3)) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> False). % 11.40/11.56 do 0 intro. intros zenon_Hb0 zenon_H233 zenon_H3c zenon_H1d9 zenon_H1cb zenon_H41 zenon_H251 zenon_H2c zenon_H222 zenon_He2 zenon_Had zenon_H11c zenon_H6f zenon_H145 zenon_H19c zenon_He3 zenon_H18a. % 11.40/11.56 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H9a | zenon_intro zenon_Hb2 ]. % 11.40/11.56 apply (zenon_L644_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Hb3 ]. % 11.40/11.56 apply (zenon_L355_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_Hae | zenon_intro zenon_Hb4 ]. % 11.40/11.56 apply (zenon_L685_); trivial. % 11.40/11.56 apply (zenon_L188_); trivial. % 11.40/11.56 (* end of lemma zenon_L686_ *) % 11.40/11.56 assert (zenon_L687_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((op (e3) (e2)) = (e0)) -> (~((e0) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e3)) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e1)) = (e1)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e3))) -> (~((e1) = (e3))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> ((op (e2) (e0)) = (e1)) -> ((op (e2) (e1)) = (e3)) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> False). % 11.40/11.56 do 0 intro. intros zenon_H22e zenon_Hf7 zenon_H34 zenon_H10e zenon_H75 zenon_Hf3 zenon_H216 zenon_H56 zenon_Hb0 zenon_H233 zenon_H3c zenon_H1cb zenon_H41 zenon_H251 zenon_H2c zenon_H222 zenon_He2 zenon_Had zenon_H11c zenon_H6f zenon_H145 zenon_H19c zenon_He3 zenon_H18a. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H2e | zenon_intro zenon_H22f ]. % 11.40/11.56 apply (zenon_L684_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H88 | zenon_intro zenon_H230 ]. % 11.40/11.56 apply (zenon_L304_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H11f | zenon_intro zenon_H1d9 ]. % 11.40/11.56 exact (zenon_H11c zenon_H11f). % 11.40/11.56 apply (zenon_L686_); trivial. % 11.40/11.56 (* end of lemma zenon_L687_ *) % 11.40/11.56 assert (zenon_L688_ : ((op (e0) (e2)) = (e1)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((e0) = (e2))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e2) (e1)) = (e3)) -> ((op (e2) (e0)) = (e1)) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e1) (e0)) = (e3)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e1))) -> (~((e1) = (e3))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e3) (e0)) = (e1)) -> (~((e2) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> False). % 11.40/11.56 do 0 intro. intros zenon_H2e zenon_H122 zenon_Hf0 zenon_H15d zenon_H27 zenon_H19c zenon_H145 zenon_H6f zenon_H11c zenon_Had zenon_He2 zenon_H222 zenon_H2c zenon_H251 zenon_H1cb zenon_H233 zenon_H216 zenon_Hf3 zenon_H75 zenon_H10e zenon_H34 zenon_H22e zenon_Hb0 zenon_H1e5 zenon_H3c zenon_H1f3 zenon_H56 zenon_H30 zenon_H1f0 zenon_H99 zenon_H41 zenon_He3 zenon_H18a. % 11.40/11.56 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H3b | zenon_intro zenon_Hf4 ]. % 11.40/11.56 apply (zenon_L9_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H89 | zenon_intro zenon_Hf5 ]. % 11.40/11.56 apply (zenon_L229_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_He1 | zenon_intro zenon_Hec ]. % 11.40/11.56 exact (zenon_He2 zenon_He1). % 11.40/11.56 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H123 ]. % 11.40/11.56 apply (zenon_L681_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H120 | zenon_intro zenon_H124 ]. % 11.40/11.56 apply (zenon_L683_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H9d ]. % 11.40/11.56 apply (zenon_L687_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H9a | zenon_intro zenon_Hb2 ]. % 11.40/11.56 apply (zenon_L682_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Hb3 ]. % 11.40/11.56 apply (zenon_L45_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_Hae | zenon_intro zenon_Hb4 ]. % 11.40/11.56 apply (zenon_L271_); trivial. % 11.40/11.56 apply (zenon_L188_); trivial. % 11.40/11.56 (* end of lemma zenon_L688_ *) % 11.40/11.56 assert (zenon_L689_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((e1) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e1))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> False). % 11.40/11.56 do 0 intro. intros zenon_H148 zenon_Hcb zenon_H11b zenon_H157 zenon_H30 zenon_H167 zenon_H18a zenon_He3 zenon_H19c zenon_H6f zenon_H11c zenon_Had zenon_He2 zenon_H222 zenon_H2c zenon_H251 zenon_H41 zenon_H1cb zenon_H3c zenon_H233 zenon_Hb0 zenon_H56 zenon_H216 zenon_H1f0 zenon_H1f3 zenon_H101 zenon_H1e5 zenon_H22e zenon_H15e zenon_H16a. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H39 | zenon_intro zenon_H149 ]. % 11.40/11.56 apply (zenon_L680_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H78 | zenon_intro zenon_H14a ]. % 11.40/11.56 apply (zenon_L510_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H145 | zenon_intro zenon_H147 ]. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H2e | zenon_intro zenon_H22f ]. % 11.40/11.56 apply (zenon_L477_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H88 | zenon_intro zenon_H230 ]. % 11.40/11.56 apply (zenon_L304_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H11f | zenon_intro zenon_H1d9 ]. % 11.40/11.56 exact (zenon_H11c zenon_H11f). % 11.40/11.56 apply (zenon_L686_); trivial. % 11.40/11.56 apply (zenon_L474_); trivial. % 11.40/11.56 (* end of lemma zenon_L689_ *) % 11.40/11.56 assert (zenon_L690_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e2) = (e3))) -> (~((op (e2) (e2)) = (e3))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e1))) -> (~((e1) = (e2))) -> ((op (e2) (e3)) = (e2)) -> False). % 11.40/11.56 do 0 intro. intros zenon_H11b zenon_H41 zenon_He2 zenon_H147 zenon_H1cb zenon_H3c zenon_H167 zenon_H56 zenon_H157 zenon_H11c zenon_H30 zenon_H18a. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H6f | zenon_intro zenon_H11d ]. % 11.40/11.56 apply (zenon_L651_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H11e ]. % 11.40/11.56 apply (zenon_L239_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H11f | zenon_intro zenon_H118 ]. % 11.40/11.56 exact (zenon_H11c zenon_H11f). % 11.40/11.56 apply (zenon_L245_); trivial. % 11.40/11.56 (* end of lemma zenon_L690_ *) % 11.40/11.56 assert (zenon_L691_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e0) (e3)) = (e1)) -> ((op (e1) (e2)) = (e0)) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e3))) -> (~((e1) = (e3))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> ((op (e2) (e0)) = (e1)) -> ((op (e2) (e1)) = (e3)) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> False). % 11.40/11.56 do 0 intro. intros zenon_H22e zenon_H210 zenon_H47 zenon_He0 zenon_H20 zenon_Hb0 zenon_H233 zenon_H3c zenon_H1cb zenon_H41 zenon_H251 zenon_H2c zenon_H222 zenon_He2 zenon_Had zenon_H11c zenon_H6f zenon_H145 zenon_H19c zenon_He3 zenon_H18a. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H2e | zenon_intro zenon_H22f ]. % 11.40/11.56 apply (zenon_L522_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H88 | zenon_intro zenon_H230 ]. % 11.40/11.56 apply (zenon_L92_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H11f | zenon_intro zenon_H1d9 ]. % 11.40/11.56 exact (zenon_H11c zenon_H11f). % 11.40/11.56 apply (zenon_L686_); trivial. % 11.40/11.56 (* end of lemma zenon_L691_ *) % 11.40/11.56 assert (zenon_L692_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((e2) = (e3))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e2)) = (e3))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> False). % 11.40/11.56 do 0 intro. intros zenon_Hb7 zenon_H4d zenon_H1ca zenon_H41 zenon_H18a zenon_He2 zenon_H147 zenon_H1cb zenon_H3c zenon_H167 zenon_H22e zenon_H210 zenon_H47 zenon_H216 zenon_H56 zenon_H11c zenon_Hf6. % 11.40/11.56 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ]. % 11.40/11.56 exact (zenon_H4d zenon_H4f). % 11.40/11.56 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ]. % 11.40/11.56 apply (zenon_L459_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ]. % 11.40/11.56 apply (zenon_L651_); trivial. % 11.40/11.56 apply (zenon_L535_); trivial. % 11.40/11.56 (* end of lemma zenon_L692_ *) % 11.40/11.56 assert (zenon_L693_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((e1) = (e2))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e1) (e0)) = (e3)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((e0) = (e3))) -> (~((e0) = (e1))) -> ((op (e0) (e2)) = (e3)) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((e2) = (e3))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> False). % 11.40/11.56 do 0 intro. intros zenon_H148 zenon_Hcb zenon_H11b zenon_H157 zenon_H30 zenon_He3 zenon_H19c zenon_H6f zenon_Had zenon_H222 zenon_H2c zenon_H251 zenon_H233 zenon_Hb0 zenon_Hf3 zenon_H75 zenon_H10e zenon_H34 zenon_H20 zenon_H3b zenon_Hfb zenon_Hb7 zenon_H4d zenon_H1ca zenon_H41 zenon_H18a zenon_He2 zenon_H1cb zenon_H3c zenon_H167 zenon_H22e zenon_H210 zenon_H47 zenon_H216 zenon_H56 zenon_H11c zenon_Hf6. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H39 | zenon_intro zenon_H149 ]. % 11.40/11.56 apply (zenon_L680_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H78 | zenon_intro zenon_H14a ]. % 11.40/11.56 apply (zenon_L510_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H145 | zenon_intro zenon_H147 ]. % 11.40/11.56 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hd0 | zenon_intro zenon_Hfe ]. % 11.40/11.56 apply (zenon_L59_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_He0 | zenon_intro zenon_Hff ]. % 11.40/11.56 apply (zenon_L691_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Hce | zenon_intro zenon_Hf7 ]. % 11.40/11.56 apply (zenon_L174_); trivial. % 11.40/11.56 apply (zenon_L687_); trivial. % 11.40/11.56 apply (zenon_L692_); trivial. % 11.40/11.56 (* end of lemma zenon_L693_ *) % 11.40/11.56 assert (zenon_L694_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e1)) = (e1)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> ((op (e2) (e0)) = (e1)) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((e0) = (e3))) -> (~((e0) = (e1))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e3))) -> False). % 11.40/11.56 do 0 intro. intros zenon_H44 zenon_H16a zenon_H22e zenon_H1e5 zenon_H101 zenon_H1f3 zenon_H1f0 zenon_H216 zenon_H56 zenon_Hb0 zenon_H233 zenon_H1cb zenon_H41 zenon_H251 zenon_H2c zenon_H222 zenon_He2 zenon_Had zenon_H11c zenon_H6f zenon_H19c zenon_He3 zenon_H18a zenon_H167 zenon_H30 zenon_H157 zenon_H11b zenon_Hcb zenon_H148 zenon_Hf3 zenon_H10e zenon_H34 zenon_H20 zenon_Hfb zenon_Hb7 zenon_H4d zenon_H1ca zenon_H210 zenon_Hf6 zenon_H161 zenon_H47 zenon_H3c. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.40/11.56 apply (zenon_L64_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.40/11.56 apply (zenon_L680_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ]. % 11.40/11.56 apply (zenon_L64_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ]. % 11.40/11.56 apply (zenon_L693_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ]. % 11.40/11.56 apply (zenon_L136_); trivial. % 11.40/11.56 apply (zenon_L689_); trivial. % 11.40/11.56 apply (zenon_L14_); trivial. % 11.40/11.56 (* end of lemma zenon_L694_ *) % 11.40/11.56 assert (zenon_L695_ : (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((e0) = (e1))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> False). % 11.40/11.56 do 0 intro. intros zenon_H16e zenon_H18a zenon_H44 zenon_H34 zenon_H25 zenon_He2 zenon_Hcb zenon_H11b zenon_H157 zenon_H30 zenon_H167 zenon_H41 zenon_H3c zenon_H16a zenon_H1e5 zenon_H101 zenon_H1f3 zenon_H1f0 zenon_Hb0 zenon_H233 zenon_H1cb zenon_H251 zenon_H222 zenon_Had zenon_H19c zenon_He3 zenon_H148 zenon_Hf3 zenon_H10e zenon_H20 zenon_Hfb zenon_Hb7 zenon_H4d zenon_H1ca zenon_H161 zenon_H27 zenon_H49 zenon_H22e zenon_H210 zenon_H47 zenon_H216 zenon_H56 zenon_H11c zenon_Hf6. % 11.40/11.56 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ]. % 11.40/11.56 exact (zenon_H4d zenon_H4f). % 11.40/11.56 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ]. % 11.40/11.56 apply (zenon_L459_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ]. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.40/11.56 apply (zenon_L3_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.40/11.56 apply (zenon_L694_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.40/11.56 apply (zenon_L7_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.40/11.56 apply (zenon_L680_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.40/11.56 apply (zenon_L13_); trivial. % 11.40/11.56 apply (zenon_L14_); trivial. % 11.40/11.56 apply (zenon_L213_); trivial. % 11.40/11.56 apply (zenon_L535_); trivial. % 11.40/11.56 (* end of lemma zenon_L695_ *) % 11.40/11.56 assert (zenon_L696_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((e0) = (e1))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> False). % 11.40/11.56 do 0 intro. intros zenon_H4c zenon_H10b zenon_H15d zenon_Hf0 zenon_H122 zenon_H79 zenon_H16e zenon_H18a zenon_H44 zenon_H34 zenon_H25 zenon_He2 zenon_Hcb zenon_H11b zenon_H157 zenon_H30 zenon_H167 zenon_H41 zenon_H3c zenon_H16a zenon_H1e5 zenon_H101 zenon_H1f3 zenon_H1f0 zenon_Hb0 zenon_H233 zenon_H1cb zenon_H251 zenon_H222 zenon_Had zenon_H19c zenon_He3 zenon_H148 zenon_Hf3 zenon_H10e zenon_H20 zenon_Hfb zenon_Hb7 zenon_H4d zenon_H1ca zenon_H161 zenon_H27 zenon_H49 zenon_H22e zenon_H210 zenon_H216 zenon_H56 zenon_H11c zenon_Hf6. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.40/11.56 exact (zenon_H4d zenon_H4f). % 11.40/11.56 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.40/11.56 apply (zenon_L223_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.40/11.56 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ]. % 11.40/11.56 exact (zenon_H4d zenon_H4f). % 11.40/11.56 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ]. % 11.40/11.56 apply (zenon_L459_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ]. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.40/11.56 apply (zenon_L3_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ]. % 11.40/11.56 apply (zenon_L7_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ]. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H39 | zenon_intro zenon_H149 ]. % 11.40/11.56 apply (zenon_L680_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H78 | zenon_intro zenon_H14a ]. % 11.40/11.56 exact (zenon_H79 zenon_H78). % 11.40/11.56 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H145 | zenon_intro zenon_H147 ]. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H99 | zenon_intro zenon_H1f1 ]. % 11.40/11.56 apply (zenon_L688_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_He6 | zenon_intro zenon_H1f2 ]. % 11.40/11.56 apply (zenon_L278_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H1d9 | zenon_intro zenon_He7 ]. % 11.40/11.56 apply (zenon_L686_); trivial. % 11.40/11.56 exact (zenon_H1e5 zenon_He7). % 11.40/11.56 apply (zenon_L651_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ]. % 11.40/11.56 apply (zenon_L136_); trivial. % 11.40/11.56 apply (zenon_L689_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.40/11.56 apply (zenon_L6_); trivial. % 11.40/11.56 apply (zenon_L213_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.40/11.56 apply (zenon_L3_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ]. % 11.40/11.56 apply (zenon_L7_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ]. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H39 | zenon_intro zenon_H149 ]. % 11.40/11.56 apply (zenon_L680_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H78 | zenon_intro zenon_H14a ]. % 11.40/11.56 exact (zenon_H79 zenon_H78). % 11.40/11.56 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H145 | zenon_intro zenon_H147 ]. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H6f | zenon_intro zenon_H11d ]. % 11.40/11.56 apply (zenon_L688_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H11e ]. % 11.40/11.56 apply (zenon_L239_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H11f | zenon_intro zenon_H118 ]. % 11.40/11.56 exact (zenon_H11c zenon_H11f). % 11.40/11.56 apply (zenon_L245_); trivial. % 11.40/11.56 apply (zenon_L690_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ]. % 11.40/11.56 apply (zenon_L679_); trivial. % 11.40/11.56 apply (zenon_L477_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.40/11.56 apply (zenon_L6_); trivial. % 11.40/11.56 apply (zenon_L213_); trivial. % 11.40/11.56 apply (zenon_L695_); trivial. % 11.40/11.56 (* end of lemma zenon_L696_ *) % 11.40/11.56 assert (zenon_L697_ : (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> False). % 11.40/11.56 do 0 intro. intros zenon_H19c zenon_H6e zenon_Hc0 zenon_H11c zenon_H18a zenon_H192 zenon_He2. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_Hce | zenon_intro zenon_H19d ]. % 11.40/11.56 apply (zenon_L191_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H11f | zenon_intro zenon_H19e ]. % 11.40/11.56 exact (zenon_H11c zenon_H11f). % 11.40/11.56 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H5a | zenon_intro zenon_He1 ]. % 11.40/11.56 apply (zenon_L186_); trivial. % 11.40/11.56 exact (zenon_He2 zenon_He1). % 11.40/11.56 (* end of lemma zenon_L697_ *) % 11.40/11.56 assert (zenon_L698_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e2) (e2)) = (e0)) -> ((op (e2) (e1)) = (e3)) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e1))) -> (~((e1) = (e2))) -> ((op (e2) (e3)) = (e2)) -> False). % 11.40/11.56 do 0 intro. intros zenon_H11b zenon_Hce zenon_H145 zenon_H56 zenon_H157 zenon_H11c zenon_H30 zenon_H18a. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H6f | zenon_intro zenon_H11d ]. % 11.40/11.56 apply (zenon_L174_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H11e ]. % 11.40/11.56 apply (zenon_L239_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H11f | zenon_intro zenon_H118 ]. % 11.40/11.56 exact (zenon_H11c zenon_H11f). % 11.40/11.56 apply (zenon_L245_); trivial. % 11.40/11.56 (* end of lemma zenon_L698_ *) % 11.40/11.56 assert (zenon_L699_ : (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e2) (e1)) = (e3)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> False). % 11.40/11.56 do 0 intro. intros zenon_H223 zenon_H1e zenon_H222 zenon_H56 zenon_H1f3 zenon_Hb4 zenon_He5 zenon_H145 zenon_H1cb. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H120 | zenon_intro zenon_H224 ]. % 11.40/11.56 apply (zenon_L472_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_He6 | zenon_intro zenon_H225 ]. % 11.40/11.56 apply (zenon_L278_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_Ha4 | zenon_intro zenon_H147 ]. % 11.40/11.56 apply (zenon_L73_); trivial. % 11.40/11.56 apply (zenon_L643_); trivial. % 11.40/11.56 (* end of lemma zenon_L699_ *) % 11.40/11.56 assert (zenon_L700_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e1))) -> (~((e1) = (e3))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e3) (e3)) = (e0)) -> ((op (e3) (e0)) = (e1)) -> ((op (e3) (e2)) = (e3)) -> (~((e2) = (e3))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e2) (e1)) = (e3)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> False). % 11.40/11.56 do 0 intro. intros zenon_Hb0 zenon_H1e5 zenon_H3c zenon_H30 zenon_H1f0 zenon_H9d zenon_H99 zenon_Hec zenon_H41 zenon_H223 zenon_H1e zenon_H222 zenon_H56 zenon_H1f3 zenon_He5 zenon_H145 zenon_H1cb. % 11.40/11.56 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H9a | zenon_intro zenon_Hb2 ]. % 11.40/11.56 apply (zenon_L682_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Hb3 ]. % 11.40/11.56 apply (zenon_L45_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_Hae | zenon_intro zenon_Hb4 ]. % 11.40/11.56 apply (zenon_L271_); trivial. % 11.40/11.56 apply (zenon_L699_); trivial. % 11.40/11.56 (* end of lemma zenon_L700_ *) % 11.40/11.56 assert (zenon_L701_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (~((e0) = (e3))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e1)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e0)) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e2)) = (e3)) -> (~((e1) = (e3))) -> (~((op (e3) (e3)) = (e1))) -> False). % 11.40/11.56 do 0 intro. intros zenon_H122 zenon_Hf0 zenon_H15d zenon_H18a zenon_He3 zenon_H233 zenon_H34 zenon_H1cb zenon_H145 zenon_He5 zenon_H222 zenon_H1e zenon_H223 zenon_H41 zenon_H1f0 zenon_H30 zenon_Hb0 zenon_H56 zenon_H1f3 zenon_Hec zenon_H3c zenon_H1e5. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H123 ]. % 11.40/11.56 apply (zenon_L681_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H120 | zenon_intro zenon_H124 ]. % 11.40/11.56 apply (zenon_L472_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H9d ]. % 11.40/11.56 apply (zenon_L89_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H99 | zenon_intro zenon_H1f1 ]. % 11.40/11.56 apply (zenon_L700_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_He6 | zenon_intro zenon_H1f2 ]. % 11.40/11.56 apply (zenon_L278_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H1d9 | zenon_intro zenon_He7 ]. % 11.40/11.56 apply (zenon_L273_); trivial. % 11.40/11.56 exact (zenon_H1e5 zenon_He7). % 11.40/11.56 (* end of lemma zenon_L701_ *) % 11.40/11.56 assert (zenon_L702_ : (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((op (e3) (e0)) = (e2)) -> (~((op (e3) (e3)) = (e1))) -> (~((e1) = (e3))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e2) = (e3))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e2) (e1)) = (e3)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((e0) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e3)) = (e3))) -> False). % 11.40/11.56 do 0 intro. intros zenon_H251 zenon_H9a zenon_H1e5 zenon_H3c zenon_H1f3 zenon_H56 zenon_Hb0 zenon_H30 zenon_H1f0 zenon_H41 zenon_H223 zenon_H1e zenon_H222 zenon_He5 zenon_H145 zenon_H1cb zenon_H34 zenon_He3 zenon_H18a zenon_H15d zenon_Hf0 zenon_H122 zenon_H233. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H15e | zenon_intro zenon_H253 ]. % 11.40/11.56 apply (zenon_L302_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ]. % 11.40/11.56 apply (zenon_L643_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_Hec | zenon_intro zenon_Hed ]. % 11.40/11.56 apply (zenon_L701_); trivial. % 11.40/11.56 exact (zenon_H233 zenon_Hed). % 11.40/11.56 (* end of lemma zenon_L702_ *) % 11.40/11.56 assert (zenon_L703_ : (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e0)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> ((op (e3) (e1)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> False). % 11.40/11.56 do 0 intro. intros zenon_Hf0 zenon_H96 zenon_He3 zenon_H1e5 zenon_Ha4 zenon_He5 zenon_H233. % 11.40/11.56 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf1 ]. % 11.40/11.56 apply (zenon_L71_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_He7 | zenon_intro zenon_Hf2 ]. % 11.40/11.56 exact (zenon_H1e5 zenon_He7). % 11.40/11.56 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_Hb4 | zenon_intro zenon_Hed ]. % 11.40/11.56 apply (zenon_L73_); trivial. % 11.40/11.56 exact (zenon_H233 zenon_Hed). % 11.40/11.56 (* end of lemma zenon_L703_ *) % 11.40/11.56 assert (zenon_L704_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e0)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> ((op (e2) (e0)) = (e1)) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e2) (e1)) = (e3)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> False). % 11.40/11.56 do 0 intro. intros zenon_H122 zenon_H15d zenon_H18a zenon_H34 zenon_H41 zenon_H1f0 zenon_H30 zenon_Hb0 zenon_H3c zenon_H251 zenon_H233 zenon_H1e5 zenon_He3 zenon_H96 zenon_Hf0 zenon_He2 zenon_Had zenon_H11c zenon_H6f zenon_H19c zenon_H223 zenon_H1e zenon_H222 zenon_H56 zenon_H1f3 zenon_He5 zenon_H145 zenon_H1cb. % 11.40/11.56 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H9a | zenon_intro zenon_Hb2 ]. % 11.40/11.56 apply (zenon_L702_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Hb3 ]. % 11.40/11.56 apply (zenon_L703_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_Hae | zenon_intro zenon_Hb4 ]. % 11.40/11.56 apply (zenon_L685_); trivial. % 11.40/11.56 apply (zenon_L699_); trivial. % 11.40/11.56 (* end of lemma zenon_L704_ *) % 11.40/11.56 assert (zenon_L705_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e1)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e0)) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e1))) -> ((op (e2) (e3)) = (e0)) -> (~((e0) = (e1))) -> False). % 11.40/11.56 do 0 intro. intros zenon_H11b zenon_H1cb zenon_H145 zenon_He5 zenon_H1f3 zenon_H222 zenon_H1e zenon_H223 zenon_H19c zenon_Had zenon_He2 zenon_Hf0 zenon_He3 zenon_H1e5 zenon_H233 zenon_H251 zenon_H3c zenon_Hb0 zenon_H30 zenon_H1f0 zenon_H41 zenon_H34 zenon_H18a zenon_H15d zenon_H122 zenon_H56 zenon_H157 zenon_H11c zenon_H96 zenon_H20. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H6f | zenon_intro zenon_H11d ]. % 11.40/11.56 apply (zenon_L704_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H11e ]. % 11.40/11.56 apply (zenon_L239_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H11f | zenon_intro zenon_H118 ]. % 11.40/11.56 exact (zenon_H11c zenon_H11f). % 11.40/11.56 apply (zenon_L166_); trivial. % 11.40/11.56 (* end of lemma zenon_L705_ *) % 11.40/11.56 assert (zenon_L706_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e1)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e0)) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e1))) -> (~((e0) = (e1))) -> False). % 11.40/11.56 do 0 intro. intros zenon_Hfa zenon_H192 zenon_Hc0 zenon_Hcb zenon_H11b zenon_H1cb zenon_H145 zenon_He5 zenon_H1f3 zenon_H222 zenon_H1e zenon_H223 zenon_H19c zenon_Had zenon_He2 zenon_Hf0 zenon_He3 zenon_H1e5 zenon_H233 zenon_H251 zenon_H3c zenon_Hb0 zenon_H30 zenon_H1f0 zenon_H41 zenon_H34 zenon_H18a zenon_H15d zenon_H122 zenon_H56 zenon_H157 zenon_H11c zenon_H20. % 11.40/11.56 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H6e | zenon_intro zenon_Hfc ]. % 11.40/11.56 apply (zenon_L697_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hfd ]. % 11.40/11.56 apply (zenon_L55_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hce | zenon_intro zenon_H96 ]. % 11.40/11.56 apply (zenon_L698_); trivial. % 11.40/11.56 apply (zenon_L705_); trivial. % 11.40/11.56 (* end of lemma zenon_L706_ *) % 11.40/11.56 assert (zenon_L707_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((e0) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e2) = (e3))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e1))) -> (~((e1) = (e2))) -> ((op (e2) (e3)) = (e2)) -> False). % 11.40/11.56 do 0 intro. intros zenon_H148 zenon_H79 zenon_H20 zenon_H122 zenon_H15d zenon_H34 zenon_H1f0 zenon_Hb0 zenon_H251 zenon_H233 zenon_H1e5 zenon_He3 zenon_Hf0 zenon_Had zenon_H19c zenon_H223 zenon_H1e zenon_H222 zenon_H1f3 zenon_He5 zenon_Hcb zenon_Hc0 zenon_H192 zenon_Hfa zenon_H11b zenon_H41 zenon_He2 zenon_H1cb zenon_H3c zenon_H167 zenon_H56 zenon_H157 zenon_H11c zenon_H30 zenon_H18a. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H39 | zenon_intro zenon_H149 ]. % 11.40/11.56 apply (zenon_L8_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H78 | zenon_intro zenon_H14a ]. % 11.40/11.56 exact (zenon_H79 zenon_H78). % 11.40/11.56 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H145 | zenon_intro zenon_H147 ]. % 11.40/11.56 apply (zenon_L706_); trivial. % 11.40/11.56 apply (zenon_L690_); trivial. % 11.40/11.56 (* end of lemma zenon_L707_ *) % 11.40/11.56 assert (zenon_L708_ : (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> ((op (e3) (e1)) = (e3)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> False). % 11.40/11.56 do 0 intro. intros zenon_H263 zenon_H1e zenon_Hcb zenon_H56 zenon_H157 zenon_H18b zenon_H18a zenon_H147 zenon_H1cb. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_Hcc | zenon_intro zenon_H264 ]. % 11.40/11.56 apply (zenon_L55_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H265 ]. % 11.40/11.56 apply (zenon_L239_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H145 ]. % 11.40/11.56 apply (zenon_L184_); trivial. % 11.40/11.56 apply (zenon_L643_); trivial. % 11.40/11.56 (* end of lemma zenon_L708_ *) % 11.40/11.56 assert (zenon_L709_ : (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e0)) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> ((op (e3) (e2)) = (e1)) -> (~((e1) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> False). % 11.40/11.56 do 0 intro. intros zenon_H251 zenon_H1e2 zenon_H33 zenon_H1cb zenon_H18a zenon_H18b zenon_H157 zenon_H56 zenon_Hcb zenon_H1e zenon_H263 zenon_H1d9 zenon_H3c zenon_H233. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H15e | zenon_intro zenon_H253 ]. % 11.40/11.56 apply (zenon_L478_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ]. % 11.40/11.56 apply (zenon_L708_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_Hec | zenon_intro zenon_Hed ]. % 11.40/11.56 apply (zenon_L273_); trivial. % 11.40/11.56 exact (zenon_H233 zenon_Hed). % 11.40/11.56 (* end of lemma zenon_L709_ *) % 11.40/11.56 assert (zenon_L710_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e0)) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> False). % 11.40/11.56 do 0 intro. intros zenon_H22e zenon_H210 zenon_H47 zenon_H216 zenon_H11c zenon_H251 zenon_H1e2 zenon_H33 zenon_H1cb zenon_H18a zenon_H18b zenon_H157 zenon_H56 zenon_Hcb zenon_H1e zenon_H263 zenon_H3c zenon_H233. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H2e | zenon_intro zenon_H22f ]. % 11.40/11.56 apply (zenon_L522_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H88 | zenon_intro zenon_H230 ]. % 11.40/11.56 apply (zenon_L304_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H11f | zenon_intro zenon_H1d9 ]. % 11.40/11.56 exact (zenon_H11c zenon_H11f). % 11.40/11.56 apply (zenon_L709_); trivial. % 11.40/11.56 (* end of lemma zenon_L710_ *) % 11.40/11.56 assert (zenon_L711_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e1)) = (e2)) -> (~((e2) = (e3))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e1))) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e3))) -> False). % 11.40/11.56 do 0 intro. intros zenon_H44 zenon_H2c zenon_H41 zenon_H18a zenon_He2 zenon_Hcb zenon_H11b zenon_H56 zenon_H157 zenon_H11c zenon_H30 zenon_H167 zenon_H34 zenon_Hd0 zenon_H47 zenon_H3c. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.40/11.56 apply (zenon_L64_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.40/11.56 apply (zenon_L680_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.40/11.56 apply (zenon_L59_); trivial. % 11.40/11.56 apply (zenon_L14_); trivial. % 11.40/11.56 (* end of lemma zenon_L711_ *) % 11.40/11.56 assert (zenon_L712_ : (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> False). % 11.40/11.56 do 0 intro. intros zenon_Hf0 zenon_Hc3 zenon_H15d zenon_H47 zenon_H13a zenon_H18a zenon_He3 zenon_H233. % 11.40/11.56 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf1 ]. % 11.40/11.56 apply (zenon_L548_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_He7 | zenon_intro zenon_Hf2 ]. % 11.40/11.56 apply (zenon_L507_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_Hb4 | zenon_intro zenon_Hed ]. % 11.40/11.56 apply (zenon_L188_); trivial. % 11.40/11.56 exact (zenon_H233 zenon_Hed). % 11.40/11.56 (* end of lemma zenon_L712_ *) % 11.40/11.56 assert (zenon_L713_ : (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e2) (e0)) = (e3)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e0)) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> ((op (e3) (e2)) = (e1)) -> (~((e1) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> False). % 11.40/11.56 do 0 intro. intros zenon_H251 zenon_H226 zenon_H152 zenon_H1cb zenon_H18a zenon_H18b zenon_H157 zenon_H56 zenon_Hcb zenon_H1e zenon_H263 zenon_H1d9 zenon_H3c zenon_H233. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H15e | zenon_intro zenon_H253 ]. % 11.40/11.56 apply (zenon_L438_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ]. % 11.40/11.56 apply (zenon_L708_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_Hec | zenon_intro zenon_Hed ]. % 11.40/11.56 apply (zenon_L273_); trivial. % 11.40/11.56 exact (zenon_H233 zenon_Hed). % 11.40/11.56 (* end of lemma zenon_L713_ *) % 11.40/11.56 assert (zenon_L714_ : ((op (e3) (e1)) = (e3)) -> ((op (e0) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> False). % 11.40/11.56 do 0 intro. intros zenon_H147 zenon_H39 zenon_H222. % 11.40/11.56 elim (classic ((op (e3) (e1)) = (op (e3) (e1)))); [ zenon_intro zenon_H239 | zenon_intro zenon_He9 ]. % 11.40/11.56 cut (((op (e3) (e1)) = (op (e3) (e1))) = ((op (e0) (e1)) = (op (e3) (e1)))). % 11.40/11.56 intro zenon_D_pnotp. % 11.40/11.56 apply zenon_H222. % 11.40/11.56 rewrite <- zenon_D_pnotp. % 11.40/11.56 exact zenon_H239. % 11.40/11.56 cut (((op (e3) (e1)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_He9]. % 11.40/11.56 cut (((op (e3) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H268]. % 11.40/11.56 congruence. % 11.40/11.56 cut (((op (e3) (e1)) = (e3)) = ((op (e3) (e1)) = (op (e0) (e1)))). % 11.40/11.56 intro zenon_D_pnotp. % 11.40/11.56 apply zenon_H268. % 11.40/11.56 rewrite <- zenon_D_pnotp. % 11.40/11.56 exact zenon_H147. % 11.40/11.56 cut (((e3) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H269]. % 11.40/11.56 cut (((op (e3) (e1)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_He9]. % 11.40/11.56 congruence. % 11.40/11.56 apply zenon_He9. apply refl_equal. % 11.40/11.56 apply zenon_H269. apply sym_equal. exact zenon_H39. % 11.40/11.56 apply zenon_He9. apply refl_equal. % 11.40/11.56 apply zenon_He9. apply refl_equal. % 11.40/11.56 (* end of lemma zenon_L714_ *) % 11.40/11.56 assert (zenon_L715_ : (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (~((e1) = (e3))) -> ((op (e3) (e2)) = (e1)) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e0)) = (e3)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((op (e0) (e3)) = (e1)) -> ((op (e1) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> False). % 11.40/11.56 do 0 intro. intros zenon_H259 zenon_H233 zenon_H3c zenon_H1d9 zenon_H263 zenon_Hcb zenon_H56 zenon_H157 zenon_H18b zenon_H18a zenon_H1cb zenon_H152 zenon_H226 zenon_H251 zenon_H71 zenon_H47 zenon_H6c zenon_H10b zenon_H147 zenon_H222. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H1e | zenon_intro zenon_H25a ]. % 11.40/11.56 apply (zenon_L713_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H1f | zenon_intro zenon_H25b ]. % 11.40/11.56 apply (zenon_L199_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H2c | zenon_intro zenon_H39 ]. % 11.40/11.56 apply (zenon_L353_); trivial. % 11.40/11.56 apply (zenon_L714_); trivial. % 11.40/11.56 (* end of lemma zenon_L715_ *) % 11.40/11.56 assert (zenon_L716_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e2)) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> ((op (e3) (e2)) = (e1)) -> (~((e1) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e2) (e2)) = (e3))) -> ((op (e2) (e3)) = (e2)) -> (~((e2) = (e3))) -> False). % 11.40/11.56 do 0 intro. intros zenon_H167 zenon_H222 zenon_H10b zenon_H6c zenon_H47 zenon_H71 zenon_H251 zenon_H226 zenon_H18b zenon_H157 zenon_H56 zenon_Hcb zenon_H263 zenon_H1d9 zenon_H3c zenon_H233 zenon_H259 zenon_H1cb zenon_H147 zenon_He2 zenon_H18a zenon_H41. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H152 | zenon_intro zenon_H168 ]. % 11.40/11.56 apply (zenon_L715_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H145 | zenon_intro zenon_H169 ]. % 11.40/11.56 apply (zenon_L643_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_He1 | zenon_intro zenon_H164 ]. % 11.40/11.56 exact (zenon_He2 zenon_He1). % 11.40/11.56 apply (zenon_L650_); trivial. % 11.40/11.56 (* end of lemma zenon_L716_ *) % 11.40/11.56 assert (zenon_L717_ : (~((e2) = (e3))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> ((op (e3) (e2)) = (e1)) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((op (e0) (e3)) = (e1)) -> ((op (e1) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e1))) -> (~((e1) = (e3))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e1)) -> ((op (e3) (e0)) = (e2)) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e3))) -> False). % 11.40/11.56 do 0 intro. intros zenon_H41 zenon_H18a zenon_He2 zenon_H1cb zenon_H259 zenon_H1d9 zenon_H263 zenon_Hcb zenon_H157 zenon_H18b zenon_H226 zenon_H251 zenon_H71 zenon_H47 zenon_H6c zenon_H10b zenon_H222 zenon_H167 zenon_H1e5 zenon_H3c zenon_H1f3 zenon_H56 zenon_H9a zenon_H30 zenon_H1f0 zenon_H233. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H15e | zenon_intro zenon_H253 ]. % 11.40/11.56 apply (zenon_L302_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ]. % 11.40/11.56 apply (zenon_L716_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_Hec | zenon_intro zenon_Hed ]. % 11.40/11.56 apply (zenon_L682_); trivial. % 11.40/11.56 exact (zenon_H233 zenon_Hed). % 11.40/11.56 (* end of lemma zenon_L717_ *) % 11.40/11.56 assert (zenon_L718_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((e1) = (e3))) -> (~((op (e3) (e3)) = (e1))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e2)) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> ((op (e3) (e2)) = (e1)) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((e2) = (e3))) -> (~((e0) = (e2))) -> ((op (e3) (e1)) = (e0)) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> ((op (e2) (e0)) = (e1)) -> ((op (e2) (e1)) = (e3)) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> False). % 11.40/11.56 do 0 intro. intros zenon_Hb0 zenon_H233 zenon_H1f0 zenon_H30 zenon_H56 zenon_H1f3 zenon_H3c zenon_H1e5 zenon_H167 zenon_H222 zenon_H10b zenon_H6c zenon_H47 zenon_H71 zenon_H251 zenon_H226 zenon_H18b zenon_H157 zenon_Hcb zenon_H263 zenon_H1d9 zenon_H259 zenon_H1cb zenon_H41 zenon_H27 zenon_H120 zenon_He2 zenon_Had zenon_H11c zenon_H6f zenon_H145 zenon_H19c zenon_He3 zenon_H18a. % 11.40/11.56 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H9a | zenon_intro zenon_Hb2 ]. % 11.40/11.56 apply (zenon_L717_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Hb3 ]. % 11.40/11.56 apply (zenon_L98_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_Hae | zenon_intro zenon_Hb4 ]. % 11.40/11.56 apply (zenon_L685_); trivial. % 11.40/11.56 apply (zenon_L188_); trivial. % 11.40/11.56 (* end of lemma zenon_L718_ *) % 11.40/11.56 assert (zenon_L719_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e0)) -> ((op (e3) (e1)) = (e2)) -> ((op (e3) (e1)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> False). % 11.40/11.56 do 0 intro. intros zenon_H1df zenon_H15d zenon_H9d zenon_Ha4 zenon_H147 zenon_H16a. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H1e0 ]. % 11.40/11.56 apply (zenon_L548_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H99 | zenon_intro zenon_H1e1 ]. % 11.40/11.56 apply (zenon_L45_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H9a | zenon_intro zenon_H15e ]. % 11.40/11.56 apply (zenon_L268_); trivial. % 11.40/11.56 apply (zenon_L474_); trivial. % 11.40/11.56 (* end of lemma zenon_L719_ *) % 11.40/11.56 assert (zenon_L720_ : (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e2)) -> ((op (e3) (e3)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e3)) -> (~((op (e3) (e3)) = (e3))) -> False). % 11.40/11.56 do 0 intro. intros zenon_H251 zenon_H1e2 zenon_H33 zenon_H16a zenon_Ha4 zenon_H9d zenon_H15d zenon_H1df zenon_H125 zenon_H89 zenon_H233. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H15e | zenon_intro zenon_H253 ]. % 11.40/11.56 apply (zenon_L478_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ]. % 11.40/11.56 apply (zenon_L719_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_Hec | zenon_intro zenon_Hed ]. % 11.40/11.56 apply (zenon_L101_); trivial. % 11.40/11.56 exact (zenon_H233 zenon_Hed). % 11.40/11.56 (* end of lemma zenon_L720_ *) % 11.40/11.56 assert (zenon_L721_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((e1) = (e3))) -> (~((op (e3) (e3)) = (e1))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e2)) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((e2) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> ((op (e1) (e2)) = (e3)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> ((op (e2) (e0)) = (e1)) -> ((op (e2) (e1)) = (e3)) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> False). % 11.40/11.56 do 0 intro. intros zenon_H22e zenon_H20 zenon_H216 zenon_H122 zenon_H13a zenon_Hf0 zenon_H27 zenon_Hd0 zenon_H101 zenon_Hb0 zenon_H1f0 zenon_H30 zenon_H56 zenon_H1f3 zenon_H3c zenon_H1e5 zenon_H167 zenon_H222 zenon_H10b zenon_H6c zenon_H47 zenon_H71 zenon_H226 zenon_H18b zenon_H157 zenon_Hcb zenon_H263 zenon_H259 zenon_H1cb zenon_H41 zenon_H233 zenon_H89 zenon_H125 zenon_H1df zenon_H15d zenon_H16a zenon_H33 zenon_H1e2 zenon_H251 zenon_He2 zenon_Had zenon_H11c zenon_H6f zenon_H145 zenon_H19c zenon_He3 zenon_H18a. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H2e | zenon_intro zenon_H22f ]. % 11.40/11.56 apply (zenon_L61_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H88 | zenon_intro zenon_H230 ]. % 11.40/11.56 apply (zenon_L304_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H11f | zenon_intro zenon_H1d9 ]. % 11.40/11.56 exact (zenon_H11c zenon_H11f). % 11.40/11.56 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H123 ]. % 11.40/11.56 apply (zenon_L712_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H120 | zenon_intro zenon_H124 ]. % 11.40/11.56 apply (zenon_L718_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H9d ]. % 11.40/11.56 apply (zenon_L416_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H9a | zenon_intro zenon_Hb2 ]. % 11.40/11.56 apply (zenon_L717_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Hb3 ]. % 11.40/11.56 apply (zenon_L720_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_Hae | zenon_intro zenon_Hb4 ]. % 11.40/11.56 apply (zenon_L685_); trivial. % 11.40/11.56 apply (zenon_L188_); trivial. % 11.40/11.56 (* end of lemma zenon_L721_ *) % 11.40/11.56 assert (zenon_L722_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((e2) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e2) (e1)) = (e0)) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e2) (e2)) = (e1))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e0) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (e3))) -> (~((e1) = (e3))) -> False). % 11.40/11.56 do 0 intro. intros zenon_H106 zenon_H44 zenon_H30 zenon_H157 zenon_H167 zenon_H1cb zenon_H41 zenon_H11b zenon_H210 zenon_H19c zenon_H6f zenon_Had zenon_H259 zenon_H263 zenon_Hcb zenon_H18b zenon_H226 zenon_H71 zenon_H10b zenon_H222 zenon_H1e5 zenon_H1f3 zenon_H1f0 zenon_Hb0 zenon_H148 zenon_Hcc zenon_H22e zenon_H20 zenon_H216 zenon_H56 zenon_H11c zenon_Hf3 zenon_H34 zenon_H233 zenon_H125 zenon_H1df zenon_H15d zenon_H16a zenon_H33 zenon_H1e2 zenon_H251 zenon_H101 zenon_Hd0 zenon_H27 zenon_Hf0 zenon_H47 zenon_H13a zenon_H18a zenon_He3 zenon_H122 zenon_He2 zenon_H3c. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H2c | zenon_intro zenon_H109 ]. % 11.40/11.56 apply (zenon_L711_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H6c | zenon_intro zenon_H10a ]. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H39 | zenon_intro zenon_H149 ]. % 11.40/11.56 apply (zenon_L680_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H78 | zenon_intro zenon_H14a ]. % 11.40/11.56 apply (zenon_L510_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H145 | zenon_intro zenon_H147 ]. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H2e | zenon_intro zenon_H22f ]. % 11.40/11.56 apply (zenon_L522_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H88 | zenon_intro zenon_H230 ]. % 11.40/11.56 apply (zenon_L304_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H11f | zenon_intro zenon_H1d9 ]. % 11.40/11.56 exact (zenon_H11c zenon_H11f). % 11.40/11.56 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H3b | zenon_intro zenon_Hf4 ]. % 11.40/11.56 apply (zenon_L59_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H89 | zenon_intro zenon_Hf5 ]. % 11.40/11.56 apply (zenon_L721_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_He1 | zenon_intro zenon_Hec ]. % 11.40/11.56 exact (zenon_He2 zenon_He1). % 11.40/11.56 apply (zenon_L273_); trivial. % 11.40/11.56 apply (zenon_L690_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Ha4 ]. % 11.40/11.56 apply (zenon_L164_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H2e | zenon_intro zenon_H22f ]. % 11.40/11.56 apply (zenon_L61_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H88 | zenon_intro zenon_H230 ]. % 11.40/11.56 apply (zenon_L304_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H11f | zenon_intro zenon_H1d9 ]. % 11.40/11.56 exact (zenon_H11c zenon_H11f). % 11.40/11.56 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H3b | zenon_intro zenon_Hf4 ]. % 11.40/11.56 apply (zenon_L59_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H89 | zenon_intro zenon_Hf5 ]. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H123 ]. % 11.40/11.56 apply (zenon_L712_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H120 | zenon_intro zenon_H124 ]. % 11.40/11.56 apply (zenon_L98_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H9d ]. % 11.40/11.56 apply (zenon_L416_); trivial. % 11.40/11.56 apply (zenon_L720_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_He1 | zenon_intro zenon_Hec ]. % 11.40/11.56 exact (zenon_He2 zenon_He1). % 11.40/11.56 apply (zenon_L273_); trivial. % 11.40/11.56 (* end of lemma zenon_L722_ *) % 11.40/11.56 assert (zenon_L723_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((e1) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e3))) -> ((op (e3) (e1)) = (e0)) -> False). % 11.40/11.56 do 0 intro. intros zenon_H148 zenon_Hcb zenon_H11b zenon_H157 zenon_H30 zenon_H167 zenon_H18a zenon_He3 zenon_H19c zenon_H6f zenon_H11c zenon_Had zenon_He2 zenon_H27 zenon_H251 zenon_H41 zenon_H1cb zenon_H3c zenon_H233 zenon_Hb0 zenon_H56 zenon_H216 zenon_H47 zenon_H210 zenon_H22e zenon_H34 zenon_H120. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H39 | zenon_intro zenon_H149 ]. % 11.40/11.56 apply (zenon_L680_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H78 | zenon_intro zenon_H14a ]. % 11.40/11.56 apply (zenon_L510_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H145 | zenon_intro zenon_H147 ]. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H2e | zenon_intro zenon_H22f ]. % 11.40/11.56 apply (zenon_L522_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H88 | zenon_intro zenon_H230 ]. % 11.40/11.56 apply (zenon_L304_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H11f | zenon_intro zenon_H1d9 ]. % 11.40/11.56 exact (zenon_H11c zenon_H11f). % 11.40/11.56 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H9a | zenon_intro zenon_Hb2 ]. % 11.40/11.56 apply (zenon_L644_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Hb3 ]. % 11.40/11.56 apply (zenon_L98_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_Hae | zenon_intro zenon_Hb4 ]. % 11.40/11.56 apply (zenon_L685_); trivial. % 11.40/11.56 apply (zenon_L188_); trivial. % 11.40/11.56 apply (zenon_L670_); trivial. % 11.40/11.56 (* end of lemma zenon_L723_ *) % 11.40/11.56 assert (zenon_L724_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (~((e0) = (e1))) -> ((op (e0) (e2)) = (e0)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> False). % 11.40/11.56 do 0 intro. intros zenon_H4c zenon_H4d zenon_H10b zenon_H56 zenon_H20 zenon_Hd0 zenon_Hf0 zenon_Hc3 zenon_H15d zenon_H13a zenon_H18a zenon_He3 zenon_H233. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.40/11.56 exact (zenon_H4d zenon_H4f). % 11.40/11.56 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.40/11.56 apply (zenon_L223_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.40/11.56 apply (zenon_L61_); trivial. % 11.40/11.56 apply (zenon_L712_); trivial. % 11.40/11.56 (* end of lemma zenon_L724_ *) % 11.40/11.56 assert (zenon_L725_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e2) = (e3))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (~((e0) = (e1))) -> ((op (e0) (e2)) = (e0)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> False). % 11.40/11.56 do 0 intro. intros zenon_H12d zenon_H1b8 zenon_Hf6 zenon_H216 zenon_H210 zenon_H22e zenon_Hb0 zenon_H1cb zenon_H251 zenon_H27 zenon_Had zenon_H19c zenon_H148 zenon_H106 zenon_H44 zenon_H259 zenon_H263 zenon_H18b zenon_H226 zenon_H71 zenon_H222 zenon_H1e5 zenon_H1f3 zenon_H1f0 zenon_Hf3 zenon_H125 zenon_H1df zenon_H16a zenon_H1e2 zenon_H101 zenon_H122 zenon_H1ca zenon_H203 zenon_H41 zenon_He2 zenon_Hcb zenon_H30 zenon_H167 zenon_H34 zenon_H3c zenon_Hb7 zenon_H16e zenon_H11c zenon_H157 zenon_H11b zenon_H4c zenon_H4d zenon_H10b zenon_H56 zenon_H20 zenon_Hd0 zenon_Hf0 zenon_H15d zenon_H13a zenon_H18a zenon_He3 zenon_H233. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H25 | zenon_intro zenon_H12e ]. % 11.40/11.56 apply (zenon_L221_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H57 | zenon_intro zenon_H12f ]. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.40/11.56 exact (zenon_H4d zenon_H4f). % 11.40/11.56 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.40/11.56 apply (zenon_L223_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.40/11.56 apply (zenon_L61_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ]. % 11.40/11.56 exact (zenon_H4d zenon_H4f). % 11.40/11.56 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ]. % 11.40/11.56 apply (zenon_L459_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ]. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H1e | zenon_intro zenon_H204 ]. % 11.40/11.56 apply (zenon_L710_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H10c | zenon_intro zenon_H205 ]. % 11.40/11.56 apply (zenon_L232_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_Hcc | zenon_intro zenon_H120 ]. % 11.40/11.56 apply (zenon_L722_); trivial. % 11.40/11.56 apply (zenon_L723_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.40/11.56 apply (zenon_L680_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.40/11.56 apply (zenon_L59_); trivial. % 11.40/11.56 apply (zenon_L14_); trivial. % 11.40/11.56 apply (zenon_L535_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H6e | zenon_intro zenon_Hc3 ]. % 11.40/11.56 apply (zenon_L488_); trivial. % 11.40/11.56 apply (zenon_L724_); trivial. % 11.40/11.56 (* end of lemma zenon_L725_ *) % 11.40/11.56 assert (zenon_L726_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e3))) -> ((op (e2) (e3)) = (e2)) -> (~((e2) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e1))) -> False). % 11.40/11.56 do 0 intro. intros zenon_H4c zenon_H4d zenon_H10b zenon_H34 zenon_H3c zenon_H167 zenon_H30 zenon_H11c zenon_H157 zenon_H56 zenon_H11b zenon_Hcb zenon_He2 zenon_H18a zenon_H41 zenon_H38 zenon_H44 zenon_H72 zenon_H20. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.40/11.56 exact (zenon_H4d zenon_H4f). % 11.40/11.56 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.40/11.56 apply (zenon_L223_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.40/11.56 exact (zenon_H38 zenon_H33). % 11.40/11.56 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.40/11.56 apply (zenon_L680_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.40/11.56 apply (zenon_L9_); trivial. % 11.40/11.56 apply (zenon_L379_); trivial. % 11.40/11.56 apply (zenon_L182_); trivial. % 11.40/11.56 (* end of lemma zenon_L726_ *) % 11.40/11.56 assert (zenon_L727_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((e0) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e2) = (e3))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e1))) -> (~((e1) = (e2))) -> ((op (e2) (e3)) = (e2)) -> False). % 11.40/11.56 do 0 intro. intros zenon_H148 zenon_H20 zenon_H122 zenon_H15d zenon_H34 zenon_H1f0 zenon_Hb0 zenon_H251 zenon_H233 zenon_H1e5 zenon_He3 zenon_Hf0 zenon_Had zenon_H19c zenon_H223 zenon_H1e zenon_H222 zenon_H1f3 zenon_He5 zenon_Hcb zenon_Hc0 zenon_H192 zenon_Hfa zenon_H11b zenon_H41 zenon_He2 zenon_H1cb zenon_H3c zenon_H167 zenon_H56 zenon_H157 zenon_H11c zenon_H30 zenon_H18a. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H39 | zenon_intro zenon_H149 ]. % 11.40/11.56 apply (zenon_L8_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H78 | zenon_intro zenon_H14a ]. % 11.40/11.56 apply (zenon_L510_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H145 | zenon_intro zenon_H147 ]. % 11.40/11.56 apply (zenon_L706_); trivial. % 11.40/11.56 apply (zenon_L690_); trivial. % 11.40/11.56 (* end of lemma zenon_L727_ *) % 11.40/11.56 assert (zenon_L728_ : ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((e2) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e1) (e1)) = (e1)) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e3))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> False). % 11.40/11.56 do 0 intro. intros zenon_H1ff zenon_H18b zenon_H148 zenon_H167 zenon_H19c zenon_He2 zenon_H18a zenon_H192 zenon_Hc0 zenon_Hcb zenon_H11b zenon_H30 zenon_H157 zenon_H20 zenon_H251 zenon_H1f0 zenon_H1f3 zenon_H15d zenon_He3 zenon_H233 zenon_Hf0 zenon_H222 zenon_H223 zenon_He5 zenon_Hb0 zenon_H122 zenon_H1cb zenon_H41 zenon_Had zenon_Hfa zenon_H56 zenon_H3c zenon_H1e zenon_H34 zenon_H1fe. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H11c | zenon_intro zenon_Hc7 ]. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e5 | zenon_intro zenon_H147 ]. % 11.40/11.56 apply (zenon_L727_); trivial. % 11.40/11.56 apply (zenon_L690_); trivial. % 11.40/11.56 apply (zenon_L184_); trivial. % 11.40/11.56 (* end of lemma zenon_L728_ *) % 11.40/11.56 assert (zenon_L729_ : (((op (e2) (e2)) = (e2))/\(((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0)))/\(((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> False). % 11.40/11.56 do 0 intro. intros zenon_H132 zenon_H192 zenon_H18a. % 11.40/11.56 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H5a. zenon_intro zenon_H133. % 11.40/11.56 apply (zenon_L186_); trivial. % 11.40/11.56 (* end of lemma zenon_L729_ *) % 11.40/11.56 assert (zenon_L730_ : ((((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))\/((((op (e1) (e1)) = (e1))/\(((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0)))/\(((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1)))/\(((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2)))/\((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3)))))))\/((((op (e2) (e2)) = (e2))/\(((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0)))/\(((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3)))))))\/(((op (e3) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3)))))))))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((e1) = (e3))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e3))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((e0) = (e1))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> False). % 11.40/11.56 do 0 intro. intros zenon_H1b0 zenon_H236 zenon_H65 zenon_Hc4 zenon_H1aa zenon_H16c zenon_H95 zenon_H242 zenon_H92 zenon_Hb9 zenon_H18f zenon_H38 zenon_H1b8 zenon_H1e2 zenon_H263 zenon_H18b zenon_H106 zenon_H13a zenon_H226 zenon_H71 zenon_H259 zenon_H1df zenon_H125 zenon_H203 zenon_H12d zenon_Hfa zenon_He5 zenon_H223 zenon_Hc0 zenon_H10b zenon_Hb7 zenon_H27 zenon_H161 zenon_H101 zenon_H16a zenon_H167 zenon_H41 zenon_He2 zenon_Hcb zenon_H3c zenon_H157 zenon_H30 zenon_H11b zenon_H79 zenon_H10e zenon_H122 zenon_Hf3 zenon_H216 zenon_Had zenon_H19c zenon_H222 zenon_H1cb zenon_H251 zenon_H22e zenon_Hb0 zenon_Hf0 zenon_He3 zenon_H15d zenon_H1f3 zenon_H1f0 zenon_H148 zenon_H34 zenon_H16e zenon_H49 zenon_H1ca zenon_H44 zenon_Hf6 zenon_H20 zenon_H210 zenon_Hfb zenon_H4c zenon_H18a zenon_H192 zenon_H233. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H51 | zenon_intro zenon_H1b1 ]. % 11.40/11.56 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H25. zenon_intro zenon_H52. % 11.40/11.56 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H1f7. zenon_intro zenon_H1f6. % 11.40/11.56 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H1f9. zenon_intro zenon_H1f8. % 11.40/11.56 apply (zenon_and_s _ _ zenon_H1f8). zenon_intro zenon_H1fb. zenon_intro zenon_H1fa. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H207 | zenon_intro zenon_H6d ]. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_Hcf | zenon_intro zenon_Hb5 ]. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H9e | zenon_intro zenon_H15e ]. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.40/11.56 apply (zenon_L129_); trivial. % 11.40/11.56 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.40/11.57 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ]. % 11.40/11.57 apply (zenon_L129_); trivial. % 11.40/11.57 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ]. % 11.40/11.57 apply (zenon_L660_); trivial. % 11.40/11.57 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ]. % 11.40/11.57 apply (zenon_L641_); trivial. % 11.40/11.57 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.40/11.57 apply (zenon_L3_); trivial. % 11.40/11.57 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.40/11.57 apply (zenon_L211_); trivial. % 11.40/11.57 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.40/11.57 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.40/11.57 exact (zenon_H38 zenon_H33). % 11.40/11.57 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.40/11.57 apply (zenon_L130_); trivial. % 11.40/11.57 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.40/11.57 apply (zenon_L13_); trivial. % 11.40/11.57 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ]. % 11.40/11.57 exact (zenon_H38 zenon_H33). % 11.40/11.57 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ]. % 11.40/11.57 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H1e | zenon_intro zenon_H204 ]. % 11.40/11.57 apply (zenon_L2_); trivial. % 11.40/11.57 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H10c | zenon_intro zenon_H205 ]. % 11.40/11.57 exact (zenon_H207 zenon_H10c). % 11.40/11.57 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_Hcc | zenon_intro zenon_H120 ]. % 11.40/11.57 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H6d | zenon_intro zenon_H93 ]. % 11.40/11.57 apply (zenon_L123_); trivial. % 11.40/11.57 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H56 | zenon_intro zenon_H94 ]. % 11.40/11.57 apply (zenon_L223_); trivial. % 11.40/11.57 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H88 | zenon_intro zenon_H90 ]. % 11.40/11.57 apply (zenon_L661_); trivial. % 11.40/11.57 apply (zenon_L669_); trivial. % 11.40/11.57 apply (zenon_L671_); trivial. % 11.40/11.57 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ]. % 11.40/11.57 apply (zenon_L672_); trivial. % 11.40/11.57 apply (zenon_L196_); trivial. % 11.40/11.57 apply (zenon_L213_); trivial. % 11.40/11.57 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.40/11.57 apply (zenon_L673_); trivial. % 11.40/11.57 apply (zenon_L676_); trivial. % 11.40/11.57 apply (zenon_L677_); trivial. % 11.40/11.57 apply (zenon_L334_); trivial. % 11.40/11.57 apply (zenon_L678_); trivial. % 11.40/11.57 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H53 | zenon_intro zenon_H1b2 ]. % 11.40/11.57 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H56. zenon_intro zenon_H55. % 11.40/11.57 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H1c0. zenon_intro zenon_H1bf. % 11.40/11.57 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_H1fd. zenon_intro zenon_H1fc. % 11.40/11.57 apply (zenon_and_s _ _ zenon_H1fc). zenon_intro zenon_H1ff. zenon_intro zenon_H1fe. % 11.40/11.57 apply (zenon_or_s _ _ zenon_H1c0); [ zenon_intro zenon_H4d | zenon_intro zenon_H1e ]. % 11.40/11.57 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H11c | zenon_intro zenon_Hc7 ]. % 11.40/11.57 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e5 | zenon_intro zenon_H147 ]. % 11.40/11.57 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H25 | zenon_intro zenon_H190 ]. % 11.40/11.57 apply (zenon_L696_); trivial. % 11.40/11.57 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H1e | zenon_intro zenon_H191 ]. % 11.40/11.57 apply (zenon_L707_); trivial. % 11.40/11.57 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H72 ]. % 11.40/11.57 apply (zenon_L725_); trivial. % 11.40/11.57 apply (zenon_L726_); trivial. % 11.40/11.57 apply (zenon_L690_); trivial. % 11.40/11.57 apply (zenon_L184_); trivial. % 11.40/11.57 apply (zenon_L728_); trivial. % 11.40/11.57 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H132 | zenon_intro zenon_H15f ]. % 11.40/11.57 apply (zenon_L729_); trivial. % 11.40/11.57 apply (zenon_L456_); trivial. % 11.40/11.57 (* end of lemma zenon_L730_ *) % 11.40/11.57 assert (zenon_L731_ : (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e2)) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((e0) = (e1))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((e1) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e3))) -> (~((e2) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))\/((((op (e1) (e1)) = (e1))/\(((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0)))/\(((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1)))/\(((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2)))/\((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3)))))))\/((((op (e2) (e2)) = (e2))/\(((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0)))/\(((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3)))))))\/(((op (e3) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3)))))))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e3)) -> False). % 11.40/11.57 do 0 intro. intros zenon_H141 zenon_H62 zenon_H194 zenon_H90 zenon_H117 zenon_H233 zenon_H192 zenon_H4c zenon_Hfb zenon_H210 zenon_H20 zenon_Hf6 zenon_H44 zenon_H1ca zenon_H49 zenon_H34 zenon_H148 zenon_H1f0 zenon_H1f3 zenon_H15d zenon_He3 zenon_Hf0 zenon_Hb0 zenon_H22e zenon_H251 zenon_H1cb zenon_H222 zenon_H19c zenon_Had zenon_H216 zenon_Hf3 zenon_H122 zenon_H10e zenon_H79 zenon_H11b zenon_H30 zenon_H157 zenon_H3c zenon_Hcb zenon_He2 zenon_H41 zenon_H167 zenon_H16a zenon_H101 zenon_H161 zenon_H27 zenon_Hb7 zenon_H10b zenon_Hc0 zenon_H223 zenon_He5 zenon_Hfa zenon_H12d zenon_H203 zenon_H125 zenon_H1df zenon_H259 zenon_H71 zenon_H226 zenon_H13a zenon_H106 zenon_H18b zenon_H263 zenon_H1e2 zenon_H1b8 zenon_H38 zenon_H18f zenon_Hb9 zenon_H92 zenon_H242 zenon_H95 zenon_H16c zenon_H1aa zenon_Hc4 zenon_H65 zenon_H236 zenon_H1b0 zenon_H16e zenon_H40. % 11.40/11.57 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H72 | zenon_intro zenon_Hbe ]. % 11.40/11.57 apply (zenon_L379_); trivial. % 11.40/11.57 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H7a | zenon_intro zenon_Hbf ]. % 11.40/11.57 apply (zenon_L103_); trivial. % 11.40/11.57 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H96 | zenon_intro zenon_H9d ]. % 11.40/11.57 apply (zenon_L638_); trivial. % 11.40/11.57 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H96 | zenon_intro zenon_H195 ]. % 11.40/11.57 apply (zenon_L71_); trivial. % 11.40/11.57 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H118 | zenon_intro zenon_H196 ]. % 11.40/11.57 apply (zenon_L96_); trivial. % 11.40/11.57 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H18a | zenon_intro zenon_H164 ]. % 11.40/11.57 apply (zenon_L730_); trivial. % 11.40/11.57 apply (zenon_L667_); trivial. % 11.40/11.57 (* end of lemma zenon_L731_ *) % 11.40/11.57 assert (zenon_L732_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e1) (e1)) = (e0))) -> ((op (e0) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))\/((((op (e1) (e1)) = (e1))/\(((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0)))/\(((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1)))/\(((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2)))/\((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3)))))))\/((((op (e2) (e2)) = (e2))/\(((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0)))/\(((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3)))))))\/(((op (e3) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3)))))))))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((e1) = (e3))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e0)) = (e3)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e1))) -> False). % 11.40/11.57 do 0 intro. intros zenon_H113 zenon_H25 zenon_H187 zenon_H207 zenon_H40 zenon_H16e zenon_H1b0 zenon_H236 zenon_H65 zenon_Hc4 zenon_H1aa zenon_H16c zenon_H95 zenon_H242 zenon_H92 zenon_Hb9 zenon_H18f zenon_H38 zenon_H1b8 zenon_H1e2 zenon_H263 zenon_H18b zenon_H106 zenon_H13a zenon_H226 zenon_H71 zenon_H259 zenon_H1df zenon_H125 zenon_H203 zenon_H12d zenon_Hfa zenon_He5 zenon_H223 zenon_Hc0 zenon_H10b zenon_Hb7 zenon_H27 zenon_H161 zenon_H101 zenon_H16a zenon_H167 zenon_H41 zenon_He2 zenon_Hcb zenon_H3c zenon_H157 zenon_H30 zenon_H11b zenon_H79 zenon_H10e zenon_H122 zenon_Hf3 zenon_H216 zenon_Had zenon_H19c zenon_H222 zenon_H1cb zenon_H251 zenon_H22e zenon_Hb0 zenon_Hf0 zenon_He3 zenon_H15d zenon_H1f3 zenon_H1f0 zenon_H148 zenon_H34 zenon_H49 zenon_H1ca zenon_H44 zenon_Hf6 zenon_H210 zenon_Hfb zenon_H4c zenon_H192 zenon_H233 zenon_H117 zenon_H194 zenon_H141 zenon_H75 zenon_H8d zenon_H61 zenon_H69 zenon_H90 zenon_H20. % 11.40/11.57 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ]. % 11.40/11.57 apply (zenon_L298_); trivial. % 11.40/11.57 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ]. % 11.40/11.57 exact (zenon_H207 zenon_H10c). % 11.40/11.57 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ]. % 11.40/11.57 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H58 | zenon_intro zenon_H6a ]. % 11.40/11.57 apply (zenon_L635_); trivial. % 11.40/11.57 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6c | zenon_intro zenon_H6b ]. % 11.40/11.57 apply (zenon_L346_); trivial. % 11.40/11.57 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H5b | zenon_intro zenon_H62 ]. % 11.40/11.57 apply (zenon_L347_); trivial. % 11.40/11.57 apply (zenon_L731_); trivial. % 11.40/11.57 apply (zenon_L38_); trivial. % 11.40/11.57 (* end of lemma zenon_L732_ *) % 11.40/11.57 assert (zenon_L733_ : (~((e0) = (e1))) -> ((op (e1) (e3)) = (e1)) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))\/((((op (e1) (e1)) = (e1))/\(((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0)))/\(((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1)))/\(((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2)))/\((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3)))))))\/((((op (e2) (e2)) = (e2))/\(((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0)))/\(((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3)))))))\/(((op (e3) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3)))))))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e3)) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e0) (e0)) = (e0)) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e1)) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e2)) -> False). % 11.40/11.57 do 0 intro. intros zenon_H20 zenon_H90 zenon_H69 zenon_H61 zenon_H8d zenon_H141 zenon_H194 zenon_H117 zenon_H233 zenon_H192 zenon_H4c zenon_Hfb zenon_H210 zenon_Hf6 zenon_H44 zenon_H1ca zenon_H49 zenon_H34 zenon_H148 zenon_H1f0 zenon_H1f3 zenon_H15d zenon_He3 zenon_Hf0 zenon_Hb0 zenon_H22e zenon_H251 zenon_H1cb zenon_H222 zenon_H19c zenon_Had zenon_H216 zenon_Hf3 zenon_H122 zenon_H10e zenon_H79 zenon_H11b zenon_H30 zenon_H157 zenon_Hcb zenon_He2 zenon_H167 zenon_H16a zenon_H101 zenon_H161 zenon_H27 zenon_Hb7 zenon_H10b zenon_Hc0 zenon_H223 zenon_He5 zenon_Hfa zenon_H12d zenon_H203 zenon_H125 zenon_H1df zenon_H259 zenon_H71 zenon_H226 zenon_H13a zenon_H106 zenon_H18b zenon_H263 zenon_H1e2 zenon_H1b8 zenon_H38 zenon_H18f zenon_Hb9 zenon_H92 zenon_H242 zenon_H95 zenon_H16c zenon_H1aa zenon_Hc4 zenon_H65 zenon_H236 zenon_H1b0 zenon_H16e zenon_H40 zenon_H207 zenon_H187 zenon_H25 zenon_H113 zenon_H3c zenon_H6f zenon_H41 zenon_H9a. % 11.40/11.57 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ]. % 11.40/11.57 exact (zenon_H38 zenon_H33). % 11.40/11.57 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ]. % 11.40/11.57 apply (zenon_L732_); trivial. % 11.40/11.57 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ]. % 11.40/11.57 apply (zenon_L136_); trivial. % 11.40/11.57 apply (zenon_L302_); trivial. % 11.40/11.57 (* end of lemma zenon_L733_ *) % 11.40/11.57 assert (zenon_L734_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e1) (e0)) = (e3)) -> (~((e0) = (e2))) -> ((op (e1) (e2)) = (e0)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e2)) -> False). % 11.40/11.57 do 0 intro. intros zenon_H69 zenon_H41 zenon_H75 zenon_H27 zenon_He0 zenon_H61 zenon_H3f. % 11.40/11.57 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H58 | zenon_intro zenon_H6a ]. % 11.40/11.57 apply (zenon_L31_); trivial. % 11.40/11.57 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6c | zenon_intro zenon_H6b ]. % 11.40/11.57 apply (zenon_L346_); trivial. % 11.40/11.57 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H5b | zenon_intro zenon_H62 ]. % 11.40/11.57 apply (zenon_L347_); trivial. % 11.40/11.57 apply (zenon_L22_); trivial. % 11.40/11.57 (* end of lemma zenon_L734_ *) % 11.40/11.57 assert (zenon_L735_ : (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e0)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> False). % 11.40/11.57 do 0 intro. intros zenon_Hf0 zenon_H96 zenon_He3 zenon_H90 zenon_H141 zenon_H3f zenon_H13a zenon_H233. % 11.40/11.57 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf1 ]. % 11.40/11.57 apply (zenon_L71_); trivial. % 11.40/11.57 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_He7 | zenon_intro zenon_Hf2 ]. % 11.40/11.57 apply (zenon_L248_); trivial. % 11.40/11.57 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_Hb4 | zenon_intro zenon_Hed ]. % 11.40/11.57 apply (zenon_L420_); trivial. % 11.40/11.57 exact (zenon_H233 zenon_Hed). % 11.40/11.57 (* end of lemma zenon_L735_ *) % 11.40/11.57 assert (zenon_L736_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e2))) -> (~((e0) = (e3))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> False). % 11.40/11.57 do 0 intro. intros zenon_Hb9 zenon_H27 zenon_H34 zenon_H8b zenon_H233 zenon_H13a zenon_H3f zenon_H141 zenon_H90 zenon_He3 zenon_Hf0 zenon_H9e. % 11.40/11.57 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H72 | zenon_intro zenon_Hbe ]. % 11.40/11.57 apply (zenon_L180_); trivial. % 11.40/11.57 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H7a | zenon_intro zenon_Hbf ]. % 11.40/11.57 apply (zenon_L36_); trivial. % 11.40/11.57 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H96 | zenon_intro zenon_H9d ]. % 11.40/11.57 apply (zenon_L735_); trivial. % 11.40/11.57 exact (zenon_H9e zenon_H9d). % 11.40/11.57 (* end of lemma zenon_L736_ *) % 11.40/11.57 assert (zenon_L737_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (~((e0) = (e1))) -> ((op (e1) (e3)) = (e1)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e2))) -> (~((e0) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e0) (e0)) = (e0)) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((op (e0) (e3)) = (e2)) -> (~((e2) = (e3))) -> False). % 11.40/11.57 do 0 intro. intros zenon_H44 zenon_H38 zenon_H3c zenon_H1f zenon_H20 zenon_H90 zenon_H8d zenon_H61 zenon_H69 zenon_H79 zenon_H13f zenon_Hb9 zenon_H27 zenon_H34 zenon_H233 zenon_H13a zenon_H141 zenon_He3 zenon_Hf0 zenon_H9e zenon_H207 zenon_H187 zenon_H25 zenon_H113 zenon_H3f zenon_H41. % 11.40/11.57 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.40/11.57 exact (zenon_H38 zenon_H33). % 11.40/11.57 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.40/11.57 apply (zenon_L130_); trivial. % 11.40/11.57 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.40/11.57 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ]. % 11.40/11.57 apply (zenon_L298_); trivial. % 11.40/11.57 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ]. % 11.40/11.57 exact (zenon_H207 zenon_H10c). % 11.40/11.57 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ]. % 11.40/11.57 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H75 | zenon_intro zenon_H8e ]. % 11.40/11.57 apply (zenon_L734_); trivial. % 11.40/11.57 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H78 | zenon_intro zenon_H8f ]. % 11.40/11.57 exact (zenon_H79 zenon_H78). % 11.40/11.57 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H8b ]. % 11.40/11.57 apply (zenon_L119_); trivial. % 11.40/11.57 apply (zenon_L736_); trivial. % 11.40/11.57 apply (zenon_L38_); trivial. % 11.40/11.57 apply (zenon_L11_); trivial. % 11.40/11.57 (* end of lemma zenon_L737_ *) % 11.40/11.57 assert (zenon_L738_ : (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e3) (e0)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> False). % 11.40/11.57 do 0 intro. intros zenon_Hf0 zenon_H99 zenon_H15d zenon_Ha4 zenon_He5 zenon_H233. % 11.40/11.57 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf1 ]. % 11.40/11.57 apply (zenon_L45_); trivial. % 11.40/11.57 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_He7 | zenon_intro zenon_Hf2 ]. % 11.40/11.57 apply (zenon_L262_); trivial. % 11.40/11.57 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_Hb4 | zenon_intro zenon_Hed ]. % 11.40/11.57 apply (zenon_L73_); trivial. % 11.40/11.57 exact (zenon_H233 zenon_Hed). % 11.40/11.57 (* end of lemma zenon_L738_ *) % 11.40/11.57 assert (zenon_L739_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> ((op (e2) (e0)) = (e2)) -> (~((e1) = (e2))) -> (~((e1) = (e3))) -> ((op (e3) (e0)) = (e3)) -> False). % 11.40/11.57 do 0 intro. intros zenon_Hb7 zenon_H20 zenon_H25 zenon_H23c zenon_H90 zenon_Hb5 zenon_H30 zenon_H3c zenon_H15e. % 11.40/11.57 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ]. % 11.40/11.57 apply (zenon_L129_); trivial. % 11.40/11.57 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ]. % 11.40/11.57 apply (zenon_L519_); trivial. % 11.40/11.57 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ]. % 11.40/11.57 apply (zenon_L108_); trivial. % 11.40/11.57 apply (zenon_L196_); trivial. % 11.40/11.57 (* end of lemma zenon_L739_ *) % 11.40/11.57 assert (zenon_L740_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e1) (e1)) = (e0))) -> (~((e0) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> ((op (e2) (e0)) = (e2)) -> (~((e1) = (e2))) -> (~((e1) = (e3))) -> False). % 11.40/11.57 do 0 intro. intros zenon_H161 zenon_H38 zenon_H106 zenon_H1f zenon_Hc4 zenon_Hf0 zenon_H15d zenon_He5 zenon_H233 zenon_H207 zenon_H34 zenon_H113 zenon_H41 zenon_Hb7 zenon_H20 zenon_H25 zenon_H23c zenon_H90 zenon_Hb5 zenon_H30 zenon_H3c. % 11.40/11.57 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ]. % 11.40/11.57 apply (zenon_L129_); trivial. % 11.40/11.57 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ]. % 11.40/11.57 apply (zenon_L519_); trivial. % 11.40/11.57 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ]. % 11.40/11.57 apply (zenon_L108_); trivial. % 11.40/11.57 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ]. % 11.40/11.57 exact (zenon_H38 zenon_H33). % 11.40/11.57 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ]. % 11.40/11.57 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ]. % 11.40/11.57 apply (zenon_L118_); trivial. % 11.40/11.57 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ]. % 11.40/11.57 exact (zenon_H207 zenon_H10c). % 11.40/11.57 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ]. % 11.40/11.57 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H2c | zenon_intro zenon_H109 ]. % 11.40/11.57 apply (zenon_L211_); trivial. % 11.40/11.57 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H6c | zenon_intro zenon_H10a ]. % 11.40/11.57 apply (zenon_L346_); trivial. % 11.40/11.57 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Ha4 ]. % 11.40/11.57 apply (zenon_L532_); trivial. % 11.40/11.57 apply (zenon_L738_); trivial. % 11.40/11.57 apply (zenon_L38_); trivial. % 11.40/11.57 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ]. % 11.40/11.57 apply (zenon_L233_); trivial. % 11.40/11.57 apply (zenon_L739_); trivial. % 11.40/11.57 (* end of lemma zenon_L740_ *) % 11.40/11.57 assert (zenon_L741_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e3) (e0)) = (e1)) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (~((e0) = (e1))) -> ((op (e1) (e3)) = (e1)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e2))) -> (~((e0) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e0) (e0)) = (e0)) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e2) = (e3))) -> False). % 11.40/11.57 do 0 intro. intros zenon_H49 zenon_H30 zenon_H99 zenon_H161 zenon_H106 zenon_Hc4 zenon_H15d zenon_He5 zenon_Hb7 zenon_H23c zenon_Hb8 zenon_H44 zenon_H38 zenon_H3c zenon_H1f zenon_H20 zenon_H90 zenon_H8d zenon_H61 zenon_H69 zenon_H79 zenon_H13f zenon_Hb9 zenon_H27 zenon_H34 zenon_H233 zenon_H13a zenon_H141 zenon_He3 zenon_Hf0 zenon_H9e zenon_H207 zenon_H187 zenon_H25 zenon_H113 zenon_H41. % 11.40/11.57 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.40/11.57 apply (zenon_L3_); trivial. % 11.40/11.57 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.40/11.57 apply (zenon_L211_); trivial. % 11.40/11.57 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.40/11.57 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ]. % 11.40/11.57 apply (zenon_L3_); trivial. % 11.40/11.57 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ]. % 11.40/11.57 apply (zenon_L637_); trivial. % 11.40/11.57 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ]. % 11.40/11.57 apply (zenon_L740_); trivial. % 11.40/11.57 apply (zenon_L41_); trivial. % 11.40/11.57 apply (zenon_L737_); trivial. % 11.40/11.57 (* end of lemma zenon_L741_ *) % 11.40/11.57 assert (zenon_L742_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e1)) = (e2)) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e1)) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((e0) = (e3))) -> (~((op (e1) (e1)) = (e3))) -> ((op (e1) (e0)) = (e2)) -> (~((e2) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e1))) -> False). % 11.40/11.57 do 0 intro. intros zenon_H44 zenon_H2c zenon_H3c zenon_H2e zenon_H113 zenon_H25 zenon_H187 zenon_H207 zenon_H61 zenon_H34 zenon_H79 zenon_H58 zenon_H41 zenon_H8d zenon_H90 zenon_H20. % 11.40/11.57 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.40/11.57 apply (zenon_L7_); trivial. % 11.40/11.57 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.40/11.57 apply (zenon_L65_); trivial. % 11.40/11.57 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.40/11.57 apply (zenon_L9_); trivial. % 11.40/11.57 apply (zenon_L636_); trivial. % 11.40/11.57 (* end of lemma zenon_L742_ *) % 11.40/11.57 assert (zenon_L743_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e2)) -> ((op (e0) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e3)) -> False). % 11.40/11.57 do 0 intro. intros zenon_H167 zenon_H41 zenon_Hb5 zenon_H39 zenon_Hcb zenon_He2 zenon_H117 zenon_H8b. % 11.40/11.57 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H152 | zenon_intro zenon_H168 ]. % 11.40/11.57 apply (zenon_L233_); trivial. % 11.40/11.57 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H145 | zenon_intro zenon_H169 ]. % 11.40/11.57 apply (zenon_L162_); trivial. % 11.40/11.57 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_He1 | zenon_intro zenon_H164 ]. % 11.40/11.57 exact (zenon_He2 zenon_He1). % 11.40/11.57 apply (zenon_L483_); trivial. % 11.40/11.57 (* end of lemma zenon_L743_ *) % 11.40/11.57 assert (zenon_L744_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e3)) -> ((op (e0) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((e2) = (e3))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e3)) -> False). % 11.40/11.57 do 0 intro. intros zenon_H167 zenon_H226 zenon_H15e zenon_H39 zenon_Hcb zenon_H41 zenon_H5a zenon_H117 zenon_H8b. % 11.40/11.57 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H152 | zenon_intro zenon_H168 ]. % 11.40/11.57 apply (zenon_L438_); trivial. % 11.40/11.57 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H145 | zenon_intro zenon_H169 ]. % 11.40/11.57 apply (zenon_L162_); trivial. % 11.40/11.57 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_He1 | zenon_intro zenon_H164 ]. % 11.40/11.57 apply (zenon_L70_); trivial. % 11.40/11.57 apply (zenon_L483_); trivial. % 11.40/11.57 (* end of lemma zenon_L744_ *) % 11.40/11.57 assert (zenon_L745_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((op (e2) (e1)) = (e0)) -> (~((e0) = (e2))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((e2) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e3)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e0) = (e1))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e3) (e0)) = (e3)) -> False). % 11.40/11.57 do 0 intro. intros zenon_H1a2 zenon_Hcc zenon_H27 zenon_H8b zenon_H117 zenon_H41 zenon_Hcb zenon_H39 zenon_H167 zenon_Hb7 zenon_H20 zenon_H242 zenon_H95 zenon_H226 zenon_Hfa zenon_H25 zenon_H1aa zenon_H16c zenon_Hc4 zenon_H11b zenon_He2 zenon_H192 zenon_Hc0 zenon_Hcf zenon_H19c zenon_H3c zenon_H15e. % 11.40/11.57 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H1a3 ]. % 11.40/11.57 apply (zenon_L743_); trivial. % 11.40/11.57 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H1a4 ]. % 11.40/11.57 apply (zenon_L164_); trivial. % 11.40/11.57 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H5a | zenon_intro zenon_H18a ]. % 11.40/11.57 apply (zenon_L744_); trivial. % 11.40/11.57 apply (zenon_L677_); trivial. % 11.40/11.57 (* end of lemma zenon_L745_ *) % 11.40/11.57 assert (zenon_L746_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e3)) -> ((op (e0) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e1)) -> ((op (e2) (e3)) = (e0)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e3)) -> False). % 11.40/11.57 do 0 intro. intros zenon_H167 zenon_H226 zenon_H15e zenon_H39 zenon_Hcb zenon_H6f zenon_H96 zenon_H117 zenon_H8b. % 11.40/11.57 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H152 | zenon_intro zenon_H168 ]. % 11.40/11.57 apply (zenon_L438_); trivial. % 11.40/11.57 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H145 | zenon_intro zenon_H169 ]. % 11.40/11.57 apply (zenon_L162_); trivial. % 11.40/11.57 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_He1 | zenon_intro zenon_H164 ]. % 11.40/11.57 apply (zenon_L482_); trivial. % 11.40/11.57 apply (zenon_L483_); trivial. % 11.40/11.57 (* end of lemma zenon_L746_ *) % 11.40/11.57 assert (zenon_L747_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e1))) -> ((op (e2) (e0)) = (e1)) -> ((op (e2) (e1)) = (e2)) -> (~((e0) = (e2))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> False). % 11.40/11.57 do 0 intro. intros zenon_Hfa zenon_H20 zenon_H6f zenon_Hc7 zenon_H27 zenon_Hcf zenon_Hf0 zenon_He3 zenon_H90 zenon_H141 zenon_H3f zenon_H13a zenon_H233. % 11.40/11.57 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H6e | zenon_intro zenon_Hfc ]. % 11.40/11.57 apply (zenon_L29_); trivial. % 11.40/11.57 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hfd ]. % 11.40/11.57 apply (zenon_L164_); trivial. % 11.40/11.57 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hce | zenon_intro zenon_H96 ]. % 11.40/11.57 exact (zenon_Hcf zenon_Hce). % 11.40/11.57 apply (zenon_L735_); trivial. % 11.40/11.57 (* end of lemma zenon_L747_ *) % 11.40/11.57 assert (zenon_L748_ : (~((e0) = (e1))) -> ((op (e1) (e3)) = (e1)) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (e0))) -> ((op (e1) (e0)) = (e2)) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((e0) = (e3))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (e0))) -> ((op (e2) (e0)) = (e1)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e2))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e1)) -> ((op (e0) (e3)) = (e2)) -> (~((e2) = (e3))) -> False). % 11.40/11.57 do 0 intro. intros zenon_H20 zenon_H90 zenon_H203 zenon_H1e2 zenon_H44 zenon_H207 zenon_H58 zenon_H106 zenon_H117 zenon_Hcb zenon_H15e zenon_H226 zenon_H167 zenon_H1a2 zenon_Hb7 zenon_H242 zenon_H95 zenon_H25 zenon_H1aa zenon_H16c zenon_Hc4 zenon_H11b zenon_He2 zenon_H192 zenon_Hc0 zenon_H19c zenon_H34 zenon_H79 zenon_H8d zenon_H233 zenon_H13a zenon_H141 zenon_He3 zenon_Hf0 zenon_Hcf zenon_H6f zenon_Hfa zenon_H27 zenon_H187 zenon_H113 zenon_H3c zenon_H2e zenon_H3f zenon_H41. % 11.40/11.57 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.40/11.57 apply (zenon_L478_); trivial. % 11.40/11.57 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.40/11.57 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ]. % 11.40/11.57 apply (zenon_L298_); trivial. % 11.40/11.57 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ]. % 11.40/11.57 exact (zenon_H207 zenon_H10c). % 11.40/11.57 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ]. % 11.40/11.57 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H1e | zenon_intro zenon_H204 ]. % 11.40/11.57 apply (zenon_L494_); trivial. % 11.40/11.57 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H10c | zenon_intro zenon_H205 ]. % 11.40/11.57 exact (zenon_H207 zenon_H10c). % 11.40/11.57 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_Hcc | zenon_intro zenon_H120 ]. % 11.40/11.57 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H75 | zenon_intro zenon_H8e ]. % 11.40/11.57 apply (zenon_L31_); trivial. % 11.40/11.57 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H78 | zenon_intro zenon_H8f ]. % 11.40/11.57 exact (zenon_H79 zenon_H78). % 11.40/11.57 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H8b ]. % 11.40/11.57 apply (zenon_L69_); trivial. % 11.40/11.57 apply (zenon_L745_); trivial. % 11.40/11.57 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H2c | zenon_intro zenon_H109 ]. % 11.40/11.57 apply (zenon_L65_); trivial. % 11.40/11.57 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H6c | zenon_intro zenon_H10a ]. % 11.40/11.57 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H75 | zenon_intro zenon_H8e ]. % 11.40/11.57 apply (zenon_L346_); trivial. % 11.40/11.57 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H78 | zenon_intro zenon_H8f ]. % 11.40/11.57 exact (zenon_H79 zenon_H78). % 11.40/11.57 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H8b ]. % 11.40/11.57 apply (zenon_L69_); trivial. % 11.40/11.57 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H6e | zenon_intro zenon_Hfc ]. % 11.40/11.57 apply (zenon_L29_); trivial. % 11.40/11.57 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hfd ]. % 11.40/11.57 apply (zenon_L745_); trivial. % 11.40/11.57 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hce | zenon_intro zenon_H96 ]. % 11.40/11.57 exact (zenon_Hcf zenon_Hce). % 11.40/11.57 apply (zenon_L746_); trivial. % 11.40/11.57 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Ha4 ]. % 11.40/11.57 apply (zenon_L747_); trivial. % 11.40/11.57 apply (zenon_L98_); trivial. % 11.40/11.57 apply (zenon_L38_); trivial. % 11.40/11.57 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.40/11.57 apply (zenon_L9_); trivial. % 11.40/11.57 apply (zenon_L11_); trivial. % 11.40/11.57 (* end of lemma zenon_L748_ *) % 11.40/11.57 assert (zenon_L749_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e0)) = (e0)) -> (~((e0) = (e1))) -> ((op (e1) (e3)) = (e1)) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e1) (e1)) = (e0))) -> (~((e0) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e1)) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e2)) -> False). % 11.40/11.57 do 0 intro. intros zenon_H161 zenon_H25 zenon_H20 zenon_H90 zenon_H69 zenon_H27 zenon_H61 zenon_H3f zenon_H207 zenon_H34 zenon_H113 zenon_H3c zenon_H6f zenon_H41 zenon_H9a. % 11.40/11.57 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ]. % 11.40/11.57 apply (zenon_L7_); trivial. % 11.40/11.57 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ]. % 11.40/11.57 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ]. % 11.40/11.57 apply (zenon_L118_); trivial. % 11.40/11.57 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ]. % 11.40/11.57 exact (zenon_H207 zenon_H10c). % 11.40/11.57 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ]. % 11.40/11.57 apply (zenon_L734_); trivial. % 11.40/11.57 apply (zenon_L38_); trivial. % 11.40/11.57 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ]. % 11.40/11.57 apply (zenon_L136_); trivial. % 11.40/11.57 apply (zenon_L302_); trivial. % 11.40/11.57 (* end of lemma zenon_L749_ *) % 11.40/11.57 assert (zenon_L750_ : (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e2) (e2)) = (e0))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e0)) = (e0)) -> (~((e0) = (e1))) -> ((op (e1) (e3)) = (e1)) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e1) (e1)) = (e0))) -> (~((e0) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e1)) -> (~((e2) = (e3))) -> False). % 11.40/11.57 do 0 intro. intros zenon_Hb8 zenon_H187 zenon_Hfa zenon_Hf0 zenon_He3 zenon_H141 zenon_H13a zenon_H233 zenon_H8d zenon_H79 zenon_H192 zenon_H11b zenon_Hc4 zenon_H16c zenon_H1aa zenon_H95 zenon_H242 zenon_Hb7 zenon_H1a2 zenon_H167 zenon_H226 zenon_Hcb zenon_H117 zenon_H106 zenon_H44 zenon_H1e2 zenon_H203 zenon_He2 zenon_Hc0 zenon_H65 zenon_H2e zenon_Hcf zenon_H19c zenon_H161 zenon_H25 zenon_H20 zenon_H90 zenon_H69 zenon_H27 zenon_H61 zenon_H3f zenon_H207 zenon_H34 zenon_H113 zenon_H3c zenon_H6f zenon_H41. % 11.40/11.57 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ]. % 11.40/11.57 apply (zenon_L3_); trivial. % 11.40/11.57 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ]. % 11.40/11.57 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ]. % 11.40/11.57 apply (zenon_L7_); trivial. % 11.40/11.57 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ]. % 11.40/11.57 apply (zenon_L31_); trivial. % 11.40/11.57 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ]. % 11.40/11.57 apply (zenon_L136_); trivial. % 11.40/11.57 apply (zenon_L748_); trivial. % 11.40/11.57 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ]. % 11.40/11.57 apply (zenon_L579_); trivial. % 11.40/11.57 apply (zenon_L749_); trivial. % 11.40/11.57 (* end of lemma zenon_L750_ *) % 11.40/11.57 assert (zenon_L751_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e1)) = (e3))) -> ((op (e1) (e2)) = (e0)) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e2))) -> (~((e0) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> False). % 11.40/11.57 do 0 intro. intros zenon_H8d zenon_H6c zenon_H79 zenon_He0 zenon_Hb9 zenon_H27 zenon_H34 zenon_H233 zenon_H13a zenon_H3f zenon_H141 zenon_H90 zenon_He3 zenon_Hf0 zenon_H9e. % 11.40/11.57 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H75 | zenon_intro zenon_H8e ]. % 11.40/11.57 apply (zenon_L346_); trivial. % 11.40/11.57 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H78 | zenon_intro zenon_H8f ]. % 11.40/11.57 exact (zenon_H79 zenon_H78). % 11.40/11.57 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H8b ]. % 11.40/11.57 apply (zenon_L69_); trivial. % 11.40/11.57 apply (zenon_L736_); trivial. % 11.40/11.57 (* end of lemma zenon_L751_ *) % 11.40/11.57 assert (zenon_L752_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e0)) = (e0)) -> (~((e0) = (e1))) -> ((op (e1) (e3)) = (e1)) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((e0) = (e2))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e1) (e1)) = (e0))) -> (~((e0) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e2)) -> (~((e1) = (e3))) -> ((op (e3) (e0)) = (e1)) -> False). % 11.40/11.57 do 0 intro. intros zenon_H161 zenon_H25 zenon_H20 zenon_H90 zenon_H69 zenon_H16c zenon_H27 zenon_H61 zenon_H3f zenon_H207 zenon_H34 zenon_H113 zenon_H41 zenon_Hb5 zenon_H3c zenon_H99. % 11.40/11.57 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ]. % 11.40/11.57 apply (zenon_L7_); trivial. % 11.40/11.57 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ]. % 11.40/11.57 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ]. % 11.40/11.57 apply (zenon_L118_); trivial. % 11.40/11.57 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ]. % 11.40/11.57 exact (zenon_H207 zenon_H10c). % 11.40/11.57 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ]. % 11.40/11.57 apply (zenon_L348_); trivial. % 11.40/11.57 apply (zenon_L38_); trivial. % 11.40/11.57 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ]. % 11.40/11.57 apply (zenon_L233_); trivial. % 11.40/11.57 apply (zenon_L196_); trivial. % 11.40/11.57 (* end of lemma zenon_L752_ *) % 11.40/11.57 assert (zenon_L753_ : (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e1) (e1)) = (e0))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((e0) = (e2))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e1))) -> ((op (e0) (e0)) = (e0)) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e3) (e0)) = (e1)) -> (~((e1) = (e2))) -> False). % 11.40/11.57 do 0 intro. intros zenon_Hb8 zenon_H8d zenon_H79 zenon_H187 zenon_H2e zenon_H16a zenon_H106 zenon_H9e zenon_Hf0 zenon_He3 zenon_H141 zenon_H13a zenon_H233 zenon_Hb9 zenon_H14f zenon_H105 zenon_H44 zenon_H15d zenon_He5 zenon_H203 zenon_H38 zenon_H3c zenon_H41 zenon_H113 zenon_H34 zenon_H207 zenon_H3f zenon_H61 zenon_H27 zenon_H16c zenon_H69 zenon_H90 zenon_H20 zenon_H25 zenon_H161 zenon_H99 zenon_H30. % 11.40/11.57 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ]. % 11.40/11.57 apply (zenon_L3_); trivial. % 11.40/11.57 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ]. % 11.40/11.57 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.40/11.57 exact (zenon_H38 zenon_H33). % 11.40/11.57 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.40/11.57 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ]. % 11.40/11.57 apply (zenon_L298_); trivial. % 11.40/11.57 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ]. % 11.40/11.57 exact (zenon_H207 zenon_H10c). % 11.40/11.57 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ]. % 11.40/11.57 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H1e | zenon_intro zenon_H204 ]. % 11.40/11.57 apply (zenon_L8_); trivial. % 11.40/11.57 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H10c | zenon_intro zenon_H205 ]. % 11.40/11.57 exact (zenon_H207 zenon_H10c). % 11.40/11.57 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_Hcc | zenon_intro zenon_H120 ]. % 11.40/11.57 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H2c | zenon_intro zenon_H109 ]. % 11.40/11.57 apply (zenon_L742_); trivial. % 11.40/11.57 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H6c | zenon_intro zenon_H10a ]. % 11.40/11.57 apply (zenon_L751_); trivial. % 11.40/11.57 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Ha4 ]. % 11.40/11.57 apply (zenon_L164_); trivial. % 11.40/11.58 apply (zenon_L738_); trivial. % 11.40/11.58 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H1f | zenon_intro zenon_H107 ]. % 11.40/11.58 apply (zenon_L130_); trivial. % 11.40/11.58 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H56 | zenon_intro zenon_H108 ]. % 11.40/11.58 apply (zenon_L247_); trivial. % 11.40/11.58 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hc5 | zenon_intro zenon_He6 ]. % 11.40/11.58 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H2c | zenon_intro zenon_H109 ]. % 11.40/11.58 apply (zenon_L65_); trivial. % 11.40/11.58 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H6c | zenon_intro zenon_H10a ]. % 11.40/11.58 apply (zenon_L751_); trivial. % 11.40/11.58 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Ha4 ]. % 11.40/11.58 apply (zenon_L95_); trivial. % 11.40/11.58 apply (zenon_L98_); trivial. % 11.40/11.58 apply (zenon_L146_); trivial. % 11.40/11.58 apply (zenon_L38_); trivial. % 11.40/11.58 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.40/11.58 apply (zenon_L9_); trivial. % 11.40/11.58 apply (zenon_L636_); trivial. % 11.40/11.58 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ]. % 11.40/11.58 apply (zenon_L752_); trivial. % 11.40/11.58 apply (zenon_L41_); trivial. % 11.40/11.58 (* end of lemma zenon_L753_ *) % 11.40/11.58 assert (zenon_L754_ : ((op (e2) (e0)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))\/((((op (e1) (e1)) = (e1))/\(((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0)))/\(((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1)))/\(((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2)))/\((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3)))))))\/((((op (e2) (e2)) = (e2))/\(((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0)))/\(((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3)))))))\/(((op (e3) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3)))))))))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((e0) = (e2))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e1))) -> ((op (e0) (e0)) = (e0)) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e3) (e0)) = (e1)) -> (~((e1) = (e2))) -> False). % 11.40/11.58 do 0 intro. intros zenon_Hb5 zenon_H16e zenon_H1b0 zenon_H236 zenon_H65 zenon_Hc4 zenon_H1aa zenon_H95 zenon_H242 zenon_H92 zenon_H18f zenon_H1b8 zenon_H1e2 zenon_H263 zenon_H18b zenon_H226 zenon_H71 zenon_H259 zenon_H1df zenon_H125 zenon_H12d zenon_Hfa zenon_H223 zenon_Hc0 zenon_H10b zenon_Hb7 zenon_H101 zenon_H167 zenon_He2 zenon_Hcb zenon_H157 zenon_H11b zenon_H10e zenon_H122 zenon_Hf3 zenon_H216 zenon_Had zenon_H19c zenon_H222 zenon_H1cb zenon_H251 zenon_H22e zenon_Hb0 zenon_H1f3 zenon_H1f0 zenon_H148 zenon_H49 zenon_H1ca zenon_Hf6 zenon_H210 zenon_Hfb zenon_H4c zenon_H192 zenon_H117 zenon_H194 zenon_Hb8 zenon_H8d zenon_H79 zenon_H187 zenon_H2e zenon_H16a zenon_H106 zenon_H9e zenon_Hf0 zenon_He3 zenon_H141 zenon_H13a zenon_H233 zenon_Hb9 zenon_H14f zenon_H105 zenon_H44 zenon_H15d zenon_He5 zenon_H203 zenon_H38 zenon_H3c zenon_H41 zenon_H113 zenon_H34 zenon_H207 zenon_H61 zenon_H27 zenon_H16c zenon_H69 zenon_H90 zenon_H20 zenon_H25 zenon_H161 zenon_H99 zenon_H30. % 11.40/11.58 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.40/11.58 apply (zenon_L208_); trivial. % 11.40/11.58 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.40/11.58 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.40/11.58 exact (zenon_H38 zenon_H33). % 11.40/11.58 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.40/11.58 apply (zenon_L65_); trivial. % 11.40/11.58 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.40/11.58 apply (zenon_L9_); trivial. % 11.40/11.58 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ]. % 11.40/11.58 exact (zenon_H38 zenon_H33). % 11.40/11.58 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ]. % 11.40/11.58 apply (zenon_L732_); trivial. % 11.40/11.58 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ]. % 11.40/11.58 apply (zenon_L233_); trivial. % 11.40/11.58 apply (zenon_L196_); trivial. % 11.40/11.58 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.40/11.58 apply (zenon_L6_); trivial. % 11.40/11.58 apply (zenon_L753_); trivial. % 11.40/11.58 (* end of lemma zenon_L754_ *) % 11.40/11.58 assert (zenon_L755_ : (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e0) = (e2))) -> (~((e0) = (e1))) -> ((op (e1) (e3)) = (e1)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (~((e0) = (e3))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e0) (e0)) = (e0)) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((op (e0) (e2)) = (e2)) -> ((op (e0) (e1)) = (e1)) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e2) (e0)) = (e1)) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e3)) -> False). % 11.40/11.58 do 0 intro. intros zenon_Hb8 zenon_H27 zenon_H20 zenon_H90 zenon_H8d zenon_H79 zenon_H34 zenon_H61 zenon_H207 zenon_H187 zenon_H25 zenon_H113 zenon_H2f zenon_H1f zenon_H3c zenon_H44 zenon_H6f zenon_H30 zenon_H41 zenon_H15e. % 11.40/11.58 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ]. % 11.40/11.58 apply (zenon_L3_); trivial. % 11.40/11.58 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ]. % 11.40/11.58 apply (zenon_L637_); trivial. % 11.40/11.58 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ]. % 11.40/11.58 apply (zenon_L108_); trivial. % 11.40/11.58 apply (zenon_L302_); trivial. % 11.40/11.58 (* end of lemma zenon_L755_ *) % 11.40/11.58 assert (zenon_L756_ : (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e0)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e3)) -> False). % 11.40/11.58 do 0 intro. intros zenon_H194 zenon_H9d zenon_He3 zenon_H90 zenon_H16e zenon_H3f zenon_H117 zenon_H8b. % 11.40/11.58 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H96 | zenon_intro zenon_H195 ]. % 11.40/11.58 apply (zenon_L71_); trivial. % 11.40/11.58 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H118 | zenon_intro zenon_H196 ]. % 11.40/11.58 apply (zenon_L96_); trivial. % 11.40/11.58 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H18a | zenon_intro zenon_H164 ]. % 11.40/11.58 apply (zenon_L213_); trivial. % 11.40/11.58 apply (zenon_L483_); trivial. % 11.40/11.58 (* end of lemma zenon_L756_ *) % 11.40/11.58 assert (zenon_L757_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((op (e1) (e2)) = (e0)) -> ((op (e2) (e0)) = (e1)) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((e2) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e0) (e1)) = (e1)) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e2) (e1)) = (e0)) -> ((op (e1) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e3)) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e0) = (e1))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e3) (e0)) = (e3)) -> False). % 11.40/11.58 do 0 intro. intros zenon_H22e zenon_He0 zenon_H6f zenon_H1a2 zenon_H30 zenon_H23c zenon_H41 zenon_H113 zenon_H34 zenon_H207 zenon_He5 zenon_H15d zenon_H1f zenon_H106 zenon_H38 zenon_H161 zenon_Hcc zenon_H8b zenon_H117 zenon_H3f zenon_H16e zenon_H90 zenon_He3 zenon_H194 zenon_Hf0 zenon_H141 zenon_H13a zenon_H233 zenon_H245 zenon_H228 zenon_H125 zenon_H5c zenon_H13f zenon_H3b zenon_H27 zenon_Hb9 zenon_Hb7 zenon_H20 zenon_H242 zenon_H95 zenon_H226 zenon_Hfa zenon_H25 zenon_H1aa zenon_H16c zenon_Hc4 zenon_H11b zenon_He2 zenon_H192 zenon_Hc0 zenon_Hcf zenon_H19c zenon_H3c zenon_H15e. % 11.40/11.58 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H2e | zenon_intro zenon_H22f ]. % 11.40/11.58 apply (zenon_L9_); trivial. % 11.40/11.58 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H88 | zenon_intro zenon_H230 ]. % 11.40/11.58 apply (zenon_L92_); trivial. % 11.40/11.58 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H11f | zenon_intro zenon_H1d9 ]. % 11.40/11.58 apply (zenon_L640_); trivial. % 11.40/11.58 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H1a3 ]. % 11.40/11.58 apply (zenon_L740_); trivial. % 11.40/11.58 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H1a4 ]. % 11.40/11.58 apply (zenon_L164_); trivial. % 11.40/11.58 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H5a | zenon_intro zenon_H18a ]. % 11.40/11.58 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H72 | zenon_intro zenon_Hbe ]. % 11.40/11.58 apply (zenon_L180_); trivial. % 11.40/11.58 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H7a | zenon_intro zenon_Hbf ]. % 11.40/11.58 apply (zenon_L513_); trivial. % 11.40/11.58 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H96 | zenon_intro zenon_H9d ]. % 11.40/11.58 apply (zenon_L735_); trivial. % 11.40/11.58 apply (zenon_L756_); trivial. % 11.40/11.58 apply (zenon_L677_); trivial. % 11.40/11.58 (* end of lemma zenon_L757_ *) % 11.40/11.58 assert (zenon_L758_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e3)) -> ((op (e1) (e0)) = (e2)) -> ((op (e0) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e1) (e3)) = (e0)) -> (~((e0) = (e3))) -> False). % 11.40/11.58 do 0 intro. intros zenon_H8d zenon_H212 zenon_H15e zenon_H58 zenon_H3b zenon_H13f zenon_H7a zenon_H34. % 11.40/11.58 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H75 | zenon_intro zenon_H8e ]. % 11.40/11.58 apply (zenon_L299_); trivial. % 11.40/11.58 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H78 | zenon_intro zenon_H8f ]. % 11.40/11.58 apply (zenon_L34_); trivial. % 11.40/11.58 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H8b ]. % 11.40/11.58 apply (zenon_L119_); trivial. % 11.40/11.58 apply (zenon_L36_); trivial. % 11.40/11.58 (* end of lemma zenon_L758_ *) % 11.40/11.58 assert (zenon_L759_ : (((op (e1) (e1)) = (e1))/\(((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0)))/\(((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1)))/\(((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2)))/\((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> False). % 11.40/11.58 do 0 intro. intros zenon_H53 zenon_H90 zenon_H14f. % 11.40/11.58 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H56. zenon_intro zenon_H55. % 11.40/11.58 apply (zenon_L247_); trivial. % 11.40/11.58 (* end of lemma zenon_L759_ *) % 11.40/11.58 assert (zenon_L760_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e2)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> False). % 11.40/11.58 do 0 intro. intros zenon_H11b zenon_H6d zenon_H16c zenon_H1f zenon_Hcb zenon_H5a zenon_H30 zenon_H117 zenon_H90. % 11.40/11.58 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H6f | zenon_intro zenon_H11d ]. % 11.40/11.58 apply (zenon_L149_); trivial. % 11.40/11.58 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H11e ]. % 11.40/11.58 apply (zenon_L330_); trivial. % 11.40/11.58 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H11f | zenon_intro zenon_H118 ]. % 11.40/11.58 apply (zenon_L505_); trivial. % 11.40/11.58 apply (zenon_L96_); trivial. % 11.40/11.58 (* end of lemma zenon_L760_ *) % 11.40/11.58 assert (zenon_L761_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e1)) -> ((op (e1) (e0)) = (e2)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e3)) -> ((op (e0) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((e2) = (e3))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False). % 11.40/11.58 do 0 intro. intros zenon_H8d zenon_H212 zenon_H79 zenon_H68 zenon_H157 zenon_Hc5 zenon_H58 zenon_H15a zenon_H167 zenon_H226 zenon_H15e zenon_H39 zenon_Hcb zenon_H41 zenon_H5a zenon_H117. % 11.40/11.58 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H75 | zenon_intro zenon_H8e ]. % 11.40/11.58 apply (zenon_L299_); trivial. % 11.40/11.58 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H78 | zenon_intro zenon_H8f ]. % 11.40/11.58 exact (zenon_H79 zenon_H78). % 11.40/11.58 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H8b ]. % 11.40/11.58 apply (zenon_L366_); trivial. % 11.40/11.58 apply (zenon_L744_); trivial. % 11.40/11.58 (* end of lemma zenon_L761_ *) % 11.40/11.58 assert (zenon_L762_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e0)) = (e2)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e3)) -> ((op (e0) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((e2) = (e3))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False). % 11.40/11.58 do 0 intro. intros zenon_H105 zenon_H3c zenon_H14f zenon_H90 zenon_H157 zenon_H8d zenon_H212 zenon_H79 zenon_H68 zenon_H1f3 zenon_H58 zenon_H15a zenon_H167 zenon_H226 zenon_H15e zenon_H39 zenon_Hcb zenon_H41 zenon_H5a zenon_H117. % 11.40/11.58 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H1f | zenon_intro zenon_H107 ]. % 11.40/11.58 apply (zenon_L130_); trivial. % 11.40/11.58 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H56 | zenon_intro zenon_H108 ]. % 11.40/11.58 apply (zenon_L247_); trivial. % 11.40/11.58 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hc5 | zenon_intro zenon_He6 ]. % 11.40/11.58 apply (zenon_L761_); trivial. % 11.40/11.58 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H75 | zenon_intro zenon_H8e ]. % 11.40/11.58 apply (zenon_L299_); trivial. % 11.40/11.58 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H78 | zenon_intro zenon_H8f ]. % 11.40/11.58 exact (zenon_H79 zenon_H78). % 11.40/11.58 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H8b ]. % 11.40/11.58 apply (zenon_L404_); trivial. % 11.40/11.58 apply (zenon_L744_); trivial. % 11.40/11.58 (* end of lemma zenon_L762_ *) % 11.40/11.58 assert (zenon_L763_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e0)) = (e0)) -> ((op (e2) (e0)) = (e1)) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e0)) = (e2)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((e2) = (e3))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False). % 11.40/11.58 do 0 intro. intros zenon_H161 zenon_H34 zenon_H25 zenon_H6f zenon_H105 zenon_H3c zenon_H14f zenon_H90 zenon_H157 zenon_H8d zenon_H212 zenon_H79 zenon_H68 zenon_H1f3 zenon_H58 zenon_H15a zenon_H167 zenon_H226 zenon_H39 zenon_Hcb zenon_H41 zenon_H5a zenon_H117. % 11.40/11.58 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ]. % 11.40/11.58 apply (zenon_L7_); trivial. % 11.40/11.58 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ]. % 11.40/11.58 apply (zenon_L31_); trivial. % 11.40/11.58 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ]. % 11.40/11.58 apply (zenon_L136_); trivial. % 11.40/11.58 apply (zenon_L762_); trivial. % 11.40/11.58 (* end of lemma zenon_L763_ *) % 11.40/11.58 assert (zenon_L764_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e3)) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e2)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> False). % 11.40/11.58 do 0 intro. intros zenon_H11b zenon_H3c zenon_H152 zenon_H1f zenon_Hcb zenon_H5a zenon_H30 zenon_H117 zenon_H90. % 11.40/11.58 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H6f | zenon_intro zenon_H11d ]. % 11.40/11.58 apply (zenon_L136_); trivial. % 11.40/11.58 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H11e ]. % 11.40/11.58 apply (zenon_L330_); trivial. % 11.40/11.58 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H11f | zenon_intro zenon_H118 ]. % 11.40/11.58 apply (zenon_L505_); trivial. % 11.40/11.58 apply (zenon_L96_); trivial. % 11.40/11.58 (* end of lemma zenon_L764_ *) % 11.40/11.58 assert (zenon_L765_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e1)) -> ((op (e1) (e0)) = (e2)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e3)) -> False). % 11.40/11.58 do 0 intro. intros zenon_H8d zenon_H41 zenon_H79 zenon_H68 zenon_H1f3 zenon_He6 zenon_H58 zenon_H15a zenon_H61 zenon_H40. % 11.40/11.58 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H75 | zenon_intro zenon_H8e ]. % 11.40/11.58 apply (zenon_L31_); trivial. % 11.40/11.58 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H78 | zenon_intro zenon_H8f ]. % 11.40/11.58 exact (zenon_H79 zenon_H78). % 11.40/11.58 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H8b ]. % 11.40/11.58 apply (zenon_L404_); trivial. % 11.40/11.58 apply (zenon_L634_); trivial. % 11.40/11.58 (* end of lemma zenon_L765_ *) % 11.40/11.58 assert (zenon_L766_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e3) (e1)) = (e1)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((e0) = (e1))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((e1) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e3))) -> (~((e2) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))\/((((op (e1) (e1)) = (e1))/\(((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0)))/\(((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1)))/\(((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2)))/\((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3)))))))\/((((op (e2) (e2)) = (e2))/\(((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0)))/\(((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3)))))))\/(((op (e3) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3)))))))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e3)) -> False). % 11.40/11.58 do 0 intro. intros zenon_H69 zenon_H61 zenon_H15a zenon_He6 zenon_H8d zenon_H68 zenon_H5c zenon_H5a zenon_H141 zenon_H194 zenon_H90 zenon_H117 zenon_H233 zenon_H192 zenon_H4c zenon_Hfb zenon_H210 zenon_H20 zenon_Hf6 zenon_H44 zenon_H1ca zenon_H49 zenon_H34 zenon_H148 zenon_H1f0 zenon_H1f3 zenon_H15d zenon_He3 zenon_Hf0 zenon_Hb0 zenon_H22e zenon_H251 zenon_H1cb zenon_H222 zenon_H19c zenon_Had zenon_H216 zenon_Hf3 zenon_H122 zenon_H10e zenon_H79 zenon_H11b zenon_H30 zenon_H157 zenon_H3c zenon_Hcb zenon_He2 zenon_H41 zenon_H167 zenon_H16a zenon_H101 zenon_H161 zenon_H27 zenon_Hb7 zenon_H10b zenon_Hc0 zenon_H223 zenon_He5 zenon_Hfa zenon_H12d zenon_H203 zenon_H125 zenon_H1df zenon_H259 zenon_H71 zenon_H226 zenon_H13a zenon_H106 zenon_H18b zenon_H263 zenon_H1e2 zenon_H1b8 zenon_H38 zenon_H18f zenon_Hb9 zenon_H92 zenon_H242 zenon_H95 zenon_H16c zenon_H1aa zenon_Hc4 zenon_H65 zenon_H236 zenon_H1b0 zenon_H16e zenon_H40. % 11.40/11.58 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H58 | zenon_intro zenon_H6a ]. % 11.40/11.58 apply (zenon_L765_); trivial. % 11.40/11.58 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6c | zenon_intro zenon_H6b ]. % 11.40/11.58 exact (zenon_H68 zenon_H6c). % 11.40/11.58 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H5b | zenon_intro zenon_H62 ]. % 11.40/11.58 apply (zenon_L21_); trivial. % 11.40/11.58 apply (zenon_L731_); trivial. % 11.40/11.58 (* end of lemma zenon_L766_ *) % 11.40/11.58 assert (zenon_L767_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e2) (e0)) = (e1)) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((e0) = (e1))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((e1) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e3))) -> (~((e2) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))\/((((op (e1) (e1)) = (e1))/\(((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0)))/\(((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1)))/\(((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2)))/\((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3)))))))\/((((op (e2) (e2)) = (e2))/\(((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0)))/\(((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3)))))))\/(((op (e3) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3)))))))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e3)) -> False). % 11.40/11.58 do 0 intro. intros zenon_H105 zenon_H2c zenon_H14f zenon_H6f zenon_H69 zenon_H61 zenon_H15a zenon_H8d zenon_H68 zenon_H5c zenon_H5a zenon_H141 zenon_H194 zenon_H90 zenon_H117 zenon_H233 zenon_H192 zenon_H4c zenon_Hfb zenon_H210 zenon_H20 zenon_Hf6 zenon_H44 zenon_H1ca zenon_H49 zenon_H34 zenon_H148 zenon_H1f0 zenon_H1f3 zenon_H15d zenon_He3 zenon_Hf0 zenon_Hb0 zenon_H22e zenon_H251 zenon_H1cb zenon_H222 zenon_H19c zenon_Had zenon_H216 zenon_Hf3 zenon_H122 zenon_H10e zenon_H79 zenon_H11b zenon_H30 zenon_H157 zenon_H3c zenon_Hcb zenon_He2 zenon_H41 zenon_H167 zenon_H16a zenon_H101 zenon_H161 zenon_H27 zenon_Hb7 zenon_H10b zenon_Hc0 zenon_H223 zenon_He5 zenon_Hfa zenon_H12d zenon_H203 zenon_H125 zenon_H1df zenon_H259 zenon_H71 zenon_H226 zenon_H13a zenon_H106 zenon_H18b zenon_H263 zenon_H1e2 zenon_H1b8 zenon_H38 zenon_H18f zenon_Hb9 zenon_H92 zenon_H242 zenon_H95 zenon_H16c zenon_H1aa zenon_Hc4 zenon_H65 zenon_H236 zenon_H1b0 zenon_H16e zenon_H40. % 11.40/11.58 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H1f | zenon_intro zenon_H107 ]. % 11.40/11.58 apply (zenon_L211_); trivial. % 11.40/11.58 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H56 | zenon_intro zenon_H108 ]. % 11.40/11.58 apply (zenon_L247_); trivial. % 11.40/11.58 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hc5 | zenon_intro zenon_He6 ]. % 11.40/11.58 apply (zenon_L53_); trivial. % 11.40/11.58 apply (zenon_L766_); trivial. % 11.40/11.58 (* end of lemma zenon_L767_ *) % 11.40/11.58 assert (zenon_L768_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e1) (e0)) = (e3)) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e2)) -> False). % 11.40/11.58 do 0 intro. intros zenon_H69 zenon_H41 zenon_H75 zenon_H68 zenon_H5c zenon_H5a zenon_H61 zenon_H3f. % 11.40/11.58 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H58 | zenon_intro zenon_H6a ]. % 11.40/11.58 apply (zenon_L31_); trivial. % 11.40/11.58 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6c | zenon_intro zenon_H6b ]. % 11.40/11.58 exact (zenon_H68 zenon_H6c). % 11.40/11.58 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H5b | zenon_intro zenon_H62 ]. % 11.40/11.58 apply (zenon_L21_); trivial. % 11.40/11.58 apply (zenon_L22_); trivial. % 11.40/11.58 (* end of lemma zenon_L768_ *) % 11.40/11.58 assert (zenon_L769_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e0)) = (e0)) -> ((op (e0) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (e2))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e1)) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e2)) -> False). % 11.40/11.58 do 0 intro. intros zenon_H161 zenon_H34 zenon_H25 zenon_H3f zenon_H61 zenon_H5a zenon_H5c zenon_H68 zenon_H69 zenon_H3c zenon_H6f zenon_H41 zenon_H9a. % 11.40/11.58 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ]. % 11.40/11.58 apply (zenon_L7_); trivial. % 11.40/11.58 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ]. % 11.40/11.58 apply (zenon_L768_); trivial. % 11.40/11.58 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ]. % 11.40/11.58 apply (zenon_L136_); trivial. % 11.40/11.58 apply (zenon_L302_); trivial. % 11.40/11.58 (* end of lemma zenon_L769_ *) % 11.40/11.58 assert (zenon_L770_ : (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> ((op (e0) (e2)) = (e1)) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e0)) = (e0)) -> ((op (e0) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (e2))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e1)) -> (~((e2) = (e3))) -> False). % 11.40/11.58 do 0 intro. intros zenon_Hb8 zenon_H2b zenon_H2e zenon_H105 zenon_H14f zenon_H90 zenon_H157 zenon_H8d zenon_H212 zenon_H79 zenon_H1f3 zenon_H15a zenon_H167 zenon_H226 zenon_Hcb zenon_H117 zenon_H44 zenon_H30 zenon_H161 zenon_H34 zenon_H25 zenon_H3f zenon_H61 zenon_H5a zenon_H5c zenon_H68 zenon_H69 zenon_H3c zenon_H6f zenon_H41. % 11.40/11.58 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ]. % 11.40/11.58 exact (zenon_H2b zenon_H26). % 11.40/11.58 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ]. % 11.40/11.58 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.40/11.58 apply (zenon_L7_); trivial. % 11.40/11.58 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.40/11.58 apply (zenon_L763_); trivial. % 11.40/11.58 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.40/11.58 apply (zenon_L9_); trivial. % 11.40/11.58 apply (zenon_L11_); trivial. % 11.40/11.58 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ]. % 11.40/11.58 apply (zenon_L108_); trivial. % 11.40/11.58 apply (zenon_L769_); trivial. % 11.40/11.58 (* end of lemma zenon_L770_ *) % 11.40/11.58 assert (zenon_L771_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e1)) -> ((op (e1) (e0)) = (e2)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e3)) -> False). % 11.40/11.58 do 0 intro. intros zenon_H8d zenon_H41 zenon_H79 zenon_H68 zenon_H157 zenon_Hc5 zenon_H58 zenon_H15a zenon_H61 zenon_H40. % 11.40/11.58 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H75 | zenon_intro zenon_H8e ]. % 11.40/11.58 apply (zenon_L31_); trivial. % 11.40/11.58 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H78 | zenon_intro zenon_H8f ]. % 11.40/11.58 exact (zenon_H79 zenon_H78). % 11.40/11.58 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H8b ]. % 11.40/11.58 apply (zenon_L366_); trivial. % 11.40/11.58 apply (zenon_L634_); trivial. % 11.40/11.58 (* end of lemma zenon_L771_ *) % 11.40/11.58 assert (zenon_L772_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e2))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> ((op (e0) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e1) (e0)) = (e2)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (e3))) -> (~((e2) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e1)) -> False). % 11.40/11.58 do 0 intro. intros zenon_H105 zenon_H30 zenon_H2c zenon_H14f zenon_H90 zenon_H40 zenon_H61 zenon_H15a zenon_H58 zenon_H157 zenon_H68 zenon_H79 zenon_H41 zenon_H8d zenon_H16a zenon_H99. % 11.40/11.58 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H1f | zenon_intro zenon_H107 ]. % 11.40/11.58 apply (zenon_L211_); trivial. % 11.40/11.58 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H56 | zenon_intro zenon_H108 ]. % 11.40/11.58 apply (zenon_L247_); trivial. % 11.40/11.58 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hc5 | zenon_intro zenon_He6 ]. % 11.40/11.58 apply (zenon_L771_); trivial. % 11.40/11.58 apply (zenon_L146_); trivial. % 11.40/11.58 (* end of lemma zenon_L772_ *) % 11.40/11.58 assert (zenon_L773_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e3) (e0)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> False). % 11.40/11.58 do 0 intro. intros zenon_H106 zenon_H30 zenon_H1f zenon_H68 zenon_Hc8 zenon_H5a zenon_Hf0 zenon_H99 zenon_H15d zenon_He5 zenon_H233. % 11.40/11.58 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H2c | zenon_intro zenon_H109 ]. % 11.40/11.58 apply (zenon_L211_); trivial. % 11.40/11.58 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H6c | zenon_intro zenon_H10a ]. % 11.40/11.58 exact (zenon_H68 zenon_H6c). % 11.40/11.58 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Ha4 ]. % 11.40/11.58 apply (zenon_L54_); trivial. % 11.40/11.58 apply (zenon_L738_); trivial. % 11.40/11.58 (* end of lemma zenon_L773_ *) % 11.40/11.58 assert (zenon_L774_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e3)) -> (~((op (e1) (e1)) = (e2))) -> ((op (e2) (e1)) = (e1)) -> (~((e1) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e3) (e0)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> False). % 11.40/11.58 do 0 intro. intros zenon_H106 zenon_H41 zenon_H39 zenon_H68 zenon_Hc5 zenon_H30 zenon_Hf0 zenon_H99 zenon_H15d zenon_He5 zenon_H233. % 11.40/11.58 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H2c | zenon_intro zenon_H109 ]. % 11.40/11.58 apply (zenon_L65_); trivial. % 11.40/11.58 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H6c | zenon_intro zenon_H10a ]. % 11.40/11.58 exact (zenon_H68 zenon_H6c). % 11.40/11.58 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Ha4 ]. % 11.40/11.58 apply (zenon_L95_); trivial. % 11.40/11.58 apply (zenon_L738_); trivial. % 11.40/11.58 (* end of lemma zenon_L774_ *) % 11.40/11.58 assert (zenon_L775_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (e2))) -> ((op (e0) (e1)) = (e3)) -> (~((e2) = (e3))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e1)) -> False). % 11.40/11.58 do 0 intro. intros zenon_H105 zenon_H5a zenon_Hc8 zenon_H14f zenon_H90 zenon_H233 zenon_He5 zenon_H15d zenon_Hf0 zenon_H30 zenon_H68 zenon_H39 zenon_H41 zenon_H106 zenon_H16a zenon_H99. % 11.40/11.58 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H1f | zenon_intro zenon_H107 ]. % 11.40/11.58 apply (zenon_L773_); trivial. % 11.40/11.58 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H56 | zenon_intro zenon_H108 ]. % 11.40/11.58 apply (zenon_L247_); trivial. % 11.40/11.58 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hc5 | zenon_intro zenon_He6 ]. % 11.40/11.58 apply (zenon_L774_); trivial. % 11.40/11.58 apply (zenon_L146_); trivial. % 11.40/11.58 (* end of lemma zenon_L775_ *) % 11.40/11.58 assert (zenon_L776_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e0)) = (e0)) -> ((op (e3) (e0)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e1)) = (e2))) -> (~((e1) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e1)) -> ((op (e0) (e3)) = (e2)) -> (~((e2) = (e3))) -> False). % 11.40/11.58 do 0 intro. intros zenon_H44 zenon_H34 zenon_H25 zenon_H99 zenon_H16a zenon_H106 zenon_H68 zenon_H30 zenon_Hf0 zenon_H15d zenon_He5 zenon_H233 zenon_H90 zenon_H14f zenon_Hc8 zenon_H5a zenon_H105 zenon_H3c zenon_H2e zenon_H3f zenon_H41. % 11.40/11.58 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.40/11.58 apply (zenon_L7_); trivial. % 11.40/11.58 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.40/11.58 apply (zenon_L775_); trivial. % 11.40/11.58 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.40/11.58 apply (zenon_L9_); trivial. % 11.40/11.58 apply (zenon_L11_); trivial. % 11.40/11.58 (* end of lemma zenon_L776_ *) % 11.40/11.58 assert (zenon_L777_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e0)) = (e0)) -> ((op (e3) (e0)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e1)) = (e2))) -> (~((e1) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e1)) -> (~((e2) = (e3))) -> False). % 11.40/11.58 do 0 intro. intros zenon_H49 zenon_Hc0 zenon_H61 zenon_H15a zenon_H157 zenon_H79 zenon_H8d zenon_H2b zenon_Hb8 zenon_H44 zenon_H34 zenon_H25 zenon_H99 zenon_H16a zenon_H106 zenon_H68 zenon_H30 zenon_Hf0 zenon_H15d zenon_He5 zenon_H233 zenon_H90 zenon_H14f zenon_Hc8 zenon_H5a zenon_H105 zenon_H3c zenon_H2e zenon_H41. % 11.40/11.58 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.40/11.58 exact (zenon_H2b zenon_H26). % 11.40/11.58 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.40/11.58 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ]. % 11.40/11.58 exact (zenon_H2b zenon_H26). % 11.40/11.58 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ]. % 11.40/11.58 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.40/11.58 apply (zenon_L7_); trivial. % 11.40/11.58 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.40/11.58 apply (zenon_L65_); trivial. % 11.40/11.58 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.40/11.58 apply (zenon_L9_); trivial. % 11.40/11.58 apply (zenon_L772_); trivial. % 11.40/11.58 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ]. % 11.40/11.58 apply (zenon_L50_); trivial. % 11.40/11.58 apply (zenon_L41_); trivial. % 11.40/11.58 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.40/11.58 apply (zenon_L6_); trivial. % 11.40/11.58 apply (zenon_L776_); trivial. % 11.40/11.58 (* end of lemma zenon_L777_ *) % 11.40/11.58 assert (zenon_L778_ : (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((e0) = (e1))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))\/((((op (e1) (e1)) = (e1))/\(((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0)))/\(((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1)))/\(((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2)))/\((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3)))))))\/((((op (e2) (e2)) = (e2))/\(((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0)))/\(((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3)))))))\/(((op (e3) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3)))))))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e1)) = (e2))) -> (~((e1) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e1)) -> (~((e2) = (e3))) -> False). % 11.40/11.58 do 0 intro. intros zenon_H23c zenon_H69 zenon_H5c zenon_H161 zenon_H117 zenon_Hcb zenon_H226 zenon_H167 zenon_H1f3 zenon_H212 zenon_H65 zenon_H141 zenon_H194 zenon_H192 zenon_H4c zenon_Hfb zenon_H210 zenon_H20 zenon_Hf6 zenon_H1ca zenon_H148 zenon_H1f0 zenon_He3 zenon_Hb0 zenon_H22e zenon_H251 zenon_H1cb zenon_H222 zenon_H19c zenon_Had zenon_H216 zenon_Hf3 zenon_H122 zenon_H10e zenon_H11b zenon_He2 zenon_H101 zenon_H27 zenon_Hb7 zenon_H10b zenon_H223 zenon_Hfa zenon_H12d zenon_H203 zenon_H125 zenon_H1df zenon_H259 zenon_H71 zenon_H13a zenon_H18b zenon_H263 zenon_H1e2 zenon_H1b8 zenon_H38 zenon_H18f zenon_Hb9 zenon_H92 zenon_H242 zenon_H95 zenon_H16c zenon_H1aa zenon_Hc4 zenon_H236 zenon_H1b0 zenon_H16e zenon_H49 zenon_Hc0 zenon_H61 zenon_H15a zenon_H157 zenon_H79 zenon_H8d zenon_H2b zenon_Hb8 zenon_H44 zenon_H34 zenon_H25 zenon_H16a zenon_H106 zenon_H68 zenon_H30 zenon_Hf0 zenon_H15d zenon_He5 zenon_H233 zenon_H90 zenon_H14f zenon_Hc8 zenon_H5a zenon_H105 zenon_H3c zenon_H2e zenon_H41. % 11.40/11.58 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ]. % 11.40/11.58 apply (zenon_L129_); trivial. % 11.40/11.58 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ]. % 11.40/11.58 apply (zenon_L519_); trivial. % 11.40/11.58 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ]. % 11.40/11.59 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.40/11.59 exact (zenon_H2b zenon_H26). % 11.40/11.59 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.40/11.59 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.40/11.59 exact (zenon_H38 zenon_H33). % 11.40/11.59 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.40/11.59 apply (zenon_L65_); trivial. % 11.40/11.59 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.40/11.59 apply (zenon_L9_); trivial. % 11.40/11.59 apply (zenon_L767_); trivial. % 11.40/11.59 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.40/11.59 apply (zenon_L23_); trivial. % 11.40/11.59 apply (zenon_L770_); trivial. % 11.40/11.59 apply (zenon_L777_); trivial. % 11.40/11.59 (* end of lemma zenon_L778_ *) % 11.40/11.59 assert (zenon_L779_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((e2) = (e3))) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e0) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e3)) -> False). % 11.40/11.59 do 0 intro. intros zenon_Hb9 zenon_Hb1 zenon_H192 zenon_H41 zenon_H27 zenon_H197 zenon_H3b zenon_H13f zenon_H5a zenon_H5c zenon_H125 zenon_H1d9 zenon_H228 zenon_H245 zenon_H233 zenon_H13a zenon_H141 zenon_Hf0 zenon_H194 zenon_He3 zenon_H90 zenon_H16e zenon_H3f zenon_H117 zenon_H8b. % 11.40/11.59 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H72 | zenon_intro zenon_Hbe ]. % 11.40/11.59 apply (zenon_L511_); trivial. % 11.40/11.59 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H7a | zenon_intro zenon_Hbf ]. % 11.40/11.59 apply (zenon_L513_); trivial. % 11.40/11.59 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H96 | zenon_intro zenon_H9d ]. % 11.40/11.59 apply (zenon_L735_); trivial. % 11.40/11.59 apply (zenon_L756_); trivial. % 11.40/11.59 (* end of lemma zenon_L779_ *) % 11.40/11.59 assert (zenon_L780_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e1) (e2)) = (e0)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((e0) = (e1))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((e1) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e3))) -> (~((e2) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))\/((((op (e1) (e1)) = (e1))/\(((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0)))/\(((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1)))/\(((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2)))/\((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3)))))))\/((((op (e2) (e2)) = (e2))/\(((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0)))/\(((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3)))))))\/(((op (e3) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3)))))))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e3)) -> False). % 11.40/11.59 do 0 intro. intros zenon_H69 zenon_H61 zenon_He0 zenon_H8d zenon_H68 zenon_H5c zenon_H5a zenon_H141 zenon_H194 zenon_H90 zenon_H117 zenon_H233 zenon_H192 zenon_H4c zenon_Hfb zenon_H210 zenon_H20 zenon_Hf6 zenon_H44 zenon_H1ca zenon_H49 zenon_H34 zenon_H148 zenon_H1f0 zenon_H1f3 zenon_H15d zenon_He3 zenon_Hf0 zenon_Hb0 zenon_H22e zenon_H251 zenon_H1cb zenon_H222 zenon_H19c zenon_Had zenon_H216 zenon_Hf3 zenon_H122 zenon_H10e zenon_H79 zenon_H11b zenon_H30 zenon_H157 zenon_H3c zenon_Hcb zenon_He2 zenon_H41 zenon_H167 zenon_H16a zenon_H101 zenon_H161 zenon_H27 zenon_Hb7 zenon_H10b zenon_Hc0 zenon_H223 zenon_He5 zenon_Hfa zenon_H12d zenon_H203 zenon_H125 zenon_H1df zenon_H259 zenon_H71 zenon_H226 zenon_H13a zenon_H106 zenon_H18b zenon_H263 zenon_H1e2 zenon_H1b8 zenon_H38 zenon_H18f zenon_Hb9 zenon_H92 zenon_H242 zenon_H95 zenon_H16c zenon_H1aa zenon_Hc4 zenon_H65 zenon_H236 zenon_H1b0 zenon_H16e zenon_H40. % 11.40/11.59 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H58 | zenon_intro zenon_H6a ]. % 11.40/11.59 apply (zenon_L635_); trivial. % 11.40/11.59 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6c | zenon_intro zenon_H6b ]. % 11.40/11.59 exact (zenon_H68 zenon_H6c). % 11.40/11.59 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H5b | zenon_intro zenon_H62 ]. % 11.40/11.59 apply (zenon_L21_); trivial. % 11.40/11.59 apply (zenon_L731_); trivial. % 11.40/11.59 (* end of lemma zenon_L780_ *) % 11.40/11.59 assert (zenon_L781_ : (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e0) (e3)) = (e3)) -> (~((e0) = (e2))) -> ((op (e1) (e3)) = (e0)) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> False). % 11.40/11.59 do 0 intro. intros zenon_H197 zenon_H41 zenon_H40 zenon_H27 zenon_H7a zenon_H5a zenon_H192 zenon_Hb1. % 11.40/11.59 apply (zenon_or_s _ _ zenon_H197); [ zenon_intro zenon_H3f | zenon_intro zenon_H198 ]. % 11.40/11.59 apply (zenon_L11_); trivial. % 11.40/11.59 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H62 | zenon_intro zenon_H199 ]. % 11.40/11.59 apply (zenon_L103_); trivial. % 11.40/11.59 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H18a | zenon_intro zenon_Hb4 ]. % 11.40/11.59 apply (zenon_L186_); trivial. % 11.40/11.59 exact (zenon_Hb1 zenon_Hb4). % 11.40/11.59 (* end of lemma zenon_L781_ *) % 11.40/11.59 assert (zenon_L782_ : (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((e0) = (e2))) -> ((op (e0) (e3)) = (e3)) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((e0) = (e1))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))\/((((op (e1) (e1)) = (e1))/\(((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0)))/\(((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1)))/\(((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2)))/\((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3)))))))\/((((op (e2) (e2)) = (e2))/\(((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0)))/\(((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3)))))))\/(((op (e3) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3)))))))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e1)) = (e0)) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e1)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e2))) -> False). % 11.40/11.59 do 0 intro. intros zenon_H192 zenon_H27 zenon_H40 zenon_H197 zenon_H69 zenon_H61 zenon_H8d zenon_H68 zenon_H5c zenon_H141 zenon_H194 zenon_H90 zenon_H117 zenon_H233 zenon_H4c zenon_Hfb zenon_H210 zenon_H20 zenon_Hf6 zenon_H44 zenon_H1ca zenon_H49 zenon_H34 zenon_H148 zenon_H1f0 zenon_H1f3 zenon_H15d zenon_He3 zenon_Hf0 zenon_H22e zenon_H251 zenon_H1cb zenon_H19c zenon_H216 zenon_Hf3 zenon_H122 zenon_H10e zenon_H79 zenon_H11b zenon_H30 zenon_H157 zenon_Hcb zenon_He2 zenon_H167 zenon_H16a zenon_H101 zenon_H161 zenon_Hb7 zenon_H10b zenon_Hc0 zenon_H223 zenon_He5 zenon_Hfa zenon_H12d zenon_H203 zenon_H125 zenon_H1df zenon_H259 zenon_H71 zenon_H226 zenon_H13a zenon_H106 zenon_H18b zenon_H263 zenon_H1e2 zenon_H1b8 zenon_H38 zenon_H18f zenon_Hb9 zenon_H92 zenon_H242 zenon_H95 zenon_H16c zenon_H1aa zenon_Hc4 zenon_H65 zenon_H236 zenon_H1b0 zenon_H16e zenon_H1e zenon_H113 zenon_H3c zenon_H6f zenon_Hb0 zenon_H41 zenon_H2c zenon_H222 zenon_H5a zenon_Had zenon_Hb1. % 11.40/11.59 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ]. % 11.40/11.59 exact (zenon_H38 zenon_H33). % 11.40/11.59 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ]. % 11.40/11.59 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ]. % 11.40/11.59 apply (zenon_L118_); trivial. % 11.40/11.59 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ]. % 11.40/11.59 apply (zenon_L87_); trivial. % 11.40/11.59 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ]. % 11.40/11.59 apply (zenon_L780_); trivial. % 11.40/11.59 apply (zenon_L781_); trivial. % 11.40/11.59 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ]. % 11.40/11.59 apply (zenon_L136_); trivial. % 11.40/11.59 apply (zenon_L493_); trivial. % 11.40/11.59 (* end of lemma zenon_L782_ *) % 11.40/11.59 assert (zenon_L783_ : (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e3))) -> False). % 11.40/11.59 do 0 intro. intros zenon_H15a zenon_H57 zenon_H1ca zenon_He6 zenon_H1f3 zenon_H2c zenon_H10b zenon_H79. % 11.40/11.59 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H10c | zenon_intro zenon_H15b ]. % 11.40/11.59 apply (zenon_L232_); trivial. % 11.40/11.59 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H56 | zenon_intro zenon_H15c ]. % 11.40/11.59 apply (zenon_L278_); trivial. % 11.40/11.59 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_H6c | zenon_intro zenon_H78 ]. % 11.40/11.59 apply (zenon_L353_); trivial. % 11.40/11.59 exact (zenon_H79 zenon_H78). % 11.40/11.59 (* end of lemma zenon_L783_ *) % 11.40/11.59 assert (zenon_L784_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e3))) -> False). % 11.40/11.59 do 0 intro. intros zenon_H105 zenon_H30 zenon_H14f zenon_H90 zenon_H68 zenon_H157 zenon_H15a zenon_H57 zenon_H1ca zenon_H1f3 zenon_H2c zenon_H10b zenon_H79. % 11.40/11.59 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H1f | zenon_intro zenon_H107 ]. % 11.40/11.59 apply (zenon_L211_); trivial. % 11.40/11.59 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H56 | zenon_intro zenon_H108 ]. % 11.40/11.59 apply (zenon_L247_); trivial. % 11.40/11.59 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hc5 | zenon_intro zenon_He6 ]. % 11.40/11.59 apply (zenon_L398_); trivial. % 11.40/11.59 apply (zenon_L783_); trivial. % 11.40/11.59 (* end of lemma zenon_L784_ *) % 11.40/11.59 assert (zenon_L785_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e0)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e2) (e2)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> False). % 11.40/11.59 do 0 intro. intros zenon_H11b zenon_H20 zenon_H6e zenon_H79 zenon_H68 zenon_H157 zenon_H10b zenon_H1e zenon_H15a zenon_H5a zenon_H30 zenon_H117 zenon_H90. % 11.40/11.59 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H6f | zenon_intro zenon_H11d ]. % 11.40/11.59 apply (zenon_L29_); trivial. % 11.40/11.59 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H11e ]. % 11.40/11.59 apply (zenon_L376_); trivial. % 11.40/11.59 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H11f | zenon_intro zenon_H118 ]. % 11.40/11.59 apply (zenon_L505_); trivial. % 11.40/11.59 apply (zenon_L96_); trivial. % 11.40/11.59 (* end of lemma zenon_L785_ *) % 11.40/11.59 assert (zenon_L786_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((e1) = (e2))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (e3))) -> (~((e0) = (e1))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e2)) = (e2)) -> (~((e0) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> False). % 11.40/11.59 do 0 intro. intros zenon_Hfa zenon_H117 zenon_H30 zenon_H15a zenon_H10b zenon_H157 zenon_H68 zenon_H79 zenon_H20 zenon_H11b zenon_H1e zenon_Hcb zenon_H5a zenon_H27 zenon_Hf0 zenon_He3 zenon_H90 zenon_H141 zenon_H3f zenon_H13a zenon_H233. % 11.40/11.59 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H6e | zenon_intro zenon_Hfc ]. % 11.40/11.59 apply (zenon_L785_); trivial. % 11.40/11.59 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hfd ]. % 11.40/11.59 apply (zenon_L55_); trivial. % 11.40/11.59 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hce | zenon_intro zenon_H96 ]. % 11.40/11.59 apply (zenon_L56_); trivial. % 11.40/11.59 apply (zenon_L735_); trivial. % 11.40/11.59 (* end of lemma zenon_L786_ *) % 11.40/11.59 assert (zenon_L787_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((e1) = (e2))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (e3))) -> (~((e0) = (e1))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e2)) = (e2)) -> (~((e0) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> False). % 11.40/11.59 do 0 intro. intros zenon_H49 zenon_H2b zenon_H1f3 zenon_H1ca zenon_H57 zenon_H14f zenon_H105 zenon_H65 zenon_Hfa zenon_H117 zenon_H30 zenon_H15a zenon_H10b zenon_H157 zenon_H68 zenon_H79 zenon_H20 zenon_H11b zenon_H1e zenon_Hcb zenon_H5a zenon_H27 zenon_Hf0 zenon_He3 zenon_H90 zenon_H141 zenon_H13a zenon_H233. % 11.40/11.59 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.40/11.59 exact (zenon_H2b zenon_H26). % 11.40/11.59 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.40/11.59 apply (zenon_L784_); trivial. % 11.40/11.59 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.40/11.59 apply (zenon_L23_); trivial. % 11.40/11.59 apply (zenon_L786_); trivial. % 11.40/11.59 (* end of lemma zenon_L787_ *) % 11.40/11.59 assert (zenon_L788_ : (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e1)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e2)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e0)) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (e3))) -> False). % 11.40/11.59 do 0 intro. intros zenon_H15a zenon_H10b zenon_H1cb zenon_H145 zenon_He5 zenon_Hb4 zenon_H1f3 zenon_H222 zenon_H1e zenon_H223 zenon_H68 zenon_H79. % 11.40/11.59 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H10c | zenon_intro zenon_H15b ]. % 11.40/11.59 apply (zenon_L87_); trivial. % 11.40/11.59 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H56 | zenon_intro zenon_H15c ]. % 11.40/11.59 apply (zenon_L699_); trivial. % 11.40/11.59 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_H6c | zenon_intro zenon_H78 ]. % 11.40/11.59 exact (zenon_H68 zenon_H6c). % 11.40/11.59 exact (zenon_H79 zenon_H78). % 11.40/11.59 (* end of lemma zenon_L788_ *) % 11.40/11.59 assert (zenon_L789_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e3) (e0)) = (e0)) -> ((op (e0) (e1)) = (e2)) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e1)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e0)) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (e3))) -> False). % 11.40/11.59 do 0 intro. intros zenon_Hb0 zenon_H27 zenon_Hc3 zenon_H2c zenon_H5a zenon_Had zenon_H15a zenon_H10b zenon_H1cb zenon_H145 zenon_He5 zenon_H1f3 zenon_H222 zenon_H1e zenon_H223 zenon_H68 zenon_H79. % 11.40/11.59 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H9a | zenon_intro zenon_Hb2 ]. % 11.40/11.59 apply (zenon_L51_); trivial. % 11.40/11.59 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Hb3 ]. % 11.40/11.59 apply (zenon_L355_); trivial. % 11.40/11.59 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_Hae | zenon_intro zenon_Hb4 ]. % 11.40/11.59 apply (zenon_L46_); trivial. % 11.40/11.59 apply (zenon_L788_); trivial. % 11.40/11.59 (* end of lemma zenon_L789_ *) % 11.40/11.59 assert (zenon_L790_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e1)) = (e2))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e2)) -> ((op (e0) (e1)) = (e2)) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e3))) -> ((op (e3) (e1)) = (e1)) -> False). % 11.40/11.59 do 0 intro. intros zenon_H148 zenon_H41 zenon_H79 zenon_H68 zenon_H223 zenon_H1e zenon_H222 zenon_H1f3 zenon_He5 zenon_H1cb zenon_H10b zenon_H15a zenon_Had zenon_H5a zenon_H2c zenon_Hc3 zenon_H27 zenon_Hb0 zenon_H3c zenon_He6. % 11.40/11.59 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H39 | zenon_intro zenon_H149 ]. % 11.40/11.59 apply (zenon_L65_); trivial. % 11.40/11.59 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H78 | zenon_intro zenon_H14a ]. % 11.40/11.59 exact (zenon_H79 zenon_H78). % 11.40/11.59 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H145 | zenon_intro zenon_H147 ]. % 11.40/11.59 apply (zenon_L789_); trivial. % 11.40/11.59 apply (zenon_L157_); trivial. % 11.40/11.59 (* end of lemma zenon_L790_ *) % 11.40/11.59 assert (zenon_L791_ : (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((e1) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e1)) = (e2))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e0)) = (e1)) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e2))/\(((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0)))/\(((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))))))) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e2))) -> False). % 11.40/11.59 do 0 intro. intros zenon_Hb8 zenon_H2b zenon_Hb1 zenon_Had zenon_H5a zenon_H222 zenon_H2c zenon_H41 zenon_Hb0 zenon_H105 zenon_H117 zenon_H30 zenon_Hcb zenon_H11b zenon_H14f zenon_H90 zenon_H157 zenon_H148 zenon_H79 zenon_H68 zenon_H223 zenon_H1e zenon_H1f3 zenon_He5 zenon_H1cb zenon_H10b zenon_H15a zenon_H3c zenon_H4f zenon_H161 zenon_Hc0 zenon_H132 zenon_Hc3 zenon_H27. % 11.40/11.59 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ]. % 11.40/11.59 exact (zenon_H2b zenon_H26). % 11.40/11.59 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ]. % 11.40/11.59 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ]. % 11.40/11.59 apply (zenon_L58_); trivial. % 11.40/11.59 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ]. % 11.40/11.59 apply (zenon_L31_); trivial. % 11.40/11.59 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ]. % 11.40/11.59 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H1f | zenon_intro zenon_H107 ]. % 11.40/11.59 apply (zenon_L764_); trivial. % 11.40/11.59 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H56 | zenon_intro zenon_H108 ]. % 11.40/11.59 apply (zenon_L247_); trivial. % 11.40/11.59 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hc5 | zenon_intro zenon_He6 ]. % 11.40/11.59 apply (zenon_L376_); trivial. % 11.40/11.59 apply (zenon_L790_); trivial. % 11.40/11.59 apply (zenon_L493_); trivial. % 11.40/11.59 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ]. % 11.40/11.59 apply (zenon_L553_); trivial. % 11.40/11.59 apply (zenon_L51_); trivial. % 11.40/11.59 (* end of lemma zenon_L791_ *) % 11.40/11.59 assert (zenon_L792_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> ((op (e2) (e0)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e1)) = (e2))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e2)) -> ((op (e0) (e1)) = (e2)) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e3))) -> False). % 11.40/11.59 do 0 intro. intros zenon_H105 zenon_H30 zenon_H14f zenon_H90 zenon_H6f zenon_Hc4 zenon_H148 zenon_H41 zenon_H79 zenon_H68 zenon_H223 zenon_H1e zenon_H222 zenon_H1f3 zenon_He5 zenon_H1cb zenon_H10b zenon_H15a zenon_Had zenon_H5a zenon_H2c zenon_Hc3 zenon_H27 zenon_Hb0 zenon_H3c. % 11.40/11.59 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H1f | zenon_intro zenon_H107 ]. % 11.40/11.59 apply (zenon_L211_); trivial. % 11.40/11.59 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H56 | zenon_intro zenon_H108 ]. % 11.40/11.59 apply (zenon_L247_); trivial. % 11.40/11.59 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hc5 | zenon_intro zenon_He6 ]. % 11.40/11.59 apply (zenon_L53_); trivial. % 11.40/11.59 apply (zenon_L790_); trivial. % 11.40/11.59 (* end of lemma zenon_L792_ *) % 11.40/11.59 assert (zenon_L793_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((e2) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> ((op (e0) (e2)) = (e1)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((e1) = (e2))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (e3))) -> (~((e0) = (e1))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e2)) = (e2)) -> (~((e0) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> False). % 11.40/11.59 do 0 intro. intros zenon_H49 zenon_H2b zenon_H3c zenon_Hb0 zenon_Hc3 zenon_Had zenon_H1cb zenon_He5 zenon_H1f3 zenon_H222 zenon_H223 zenon_H41 zenon_H148 zenon_Hc4 zenon_H6f zenon_H14f zenon_H105 zenon_H2e zenon_Hfa zenon_H117 zenon_H30 zenon_H15a zenon_H10b zenon_H157 zenon_H68 zenon_H79 zenon_H20 zenon_H11b zenon_H1e zenon_Hcb zenon_H5a zenon_H27 zenon_Hf0 zenon_He3 zenon_H90 zenon_H141 zenon_H13a zenon_H233. % 11.40/11.59 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.40/11.59 exact (zenon_H2b zenon_H26). % 11.40/11.59 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.40/11.59 apply (zenon_L792_); trivial. % 11.40/11.59 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.40/11.59 apply (zenon_L6_); trivial. % 11.40/11.59 apply (zenon_L786_); trivial. % 11.40/11.59 (* end of lemma zenon_L793_ *) % 11.40/11.59 assert (zenon_L794_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((e1) = (e2))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e0)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e1)) -> False). % 11.40/11.59 do 0 intro. intros zenon_H105 zenon_H233 zenon_He5 zenon_H15d zenon_Hf0 zenon_H5a zenon_Hc8 zenon_H30 zenon_H106 zenon_H14f zenon_H90 zenon_H79 zenon_H68 zenon_H157 zenon_H10b zenon_H1e zenon_H15a zenon_H16a zenon_H99. % 11.40/11.59 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H1f | zenon_intro zenon_H107 ]. % 11.40/11.59 apply (zenon_L773_); trivial. % 11.40/11.59 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H56 | zenon_intro zenon_H108 ]. % 11.40/11.59 apply (zenon_L247_); trivial. % 11.40/11.59 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hc5 | zenon_intro zenon_He6 ]. % 11.40/11.59 apply (zenon_L376_); trivial. % 11.40/11.59 apply (zenon_L146_); trivial. % 11.40/11.59 (* end of lemma zenon_L794_ *) % 11.40/11.59 assert (zenon_L795_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> ((op (e2) (e2)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e1)) -> False). % 11.40/11.59 do 0 intro. intros zenon_H22e zenon_H20 zenon_Hd0 zenon_H228 zenon_H90 zenon_H5a zenon_H30 zenon_H1d8 zenon_He6. % 11.40/11.59 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H2e | zenon_intro zenon_H22f ]. % 11.40/11.59 apply (zenon_L61_); trivial. % 11.40/11.59 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H88 | zenon_intro zenon_H230 ]. % 11.40/11.59 apply (zenon_L391_); trivial. % 11.40/11.59 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H11f | zenon_intro zenon_H1d9 ]. % 11.40/11.59 apply (zenon_L505_); trivial. % 11.40/11.59 apply (zenon_L255_); trivial. % 11.40/11.59 (* end of lemma zenon_L795_ *) % 11.40/11.59 assert (zenon_L796_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e0)) = (e0)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e2)) -> False). % 11.40/11.59 do 0 intro. intros zenon_H106 zenon_H79 zenon_H10b zenon_H1f3 zenon_He6 zenon_H1ca zenon_H57 zenon_H15a zenon_H68 zenon_Hc8 zenon_H5a zenon_H16a zenon_H9a. % 11.40/11.59 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H2c | zenon_intro zenon_H109 ]. % 11.40/11.59 apply (zenon_L783_); trivial. % 11.40/11.59 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H6c | zenon_intro zenon_H10a ]. % 11.40/11.59 exact (zenon_H68 zenon_H6c). % 11.40/11.59 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Ha4 ]. % 11.40/11.59 apply (zenon_L54_); trivial. % 11.40/11.59 apply (zenon_L268_); trivial. % 11.40/11.59 (* end of lemma zenon_L796_ *) % 11.40/11.59 assert (zenon_L797_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e0)) = (e1)) -> ((op (e0) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (e2))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((e1) = (e2))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e2)) -> False). % 11.40/11.59 do 0 intro. intros zenon_H161 zenon_H4f zenon_H3f zenon_H61 zenon_H5c zenon_H69 zenon_H16a zenon_H5a zenon_Hc8 zenon_H68 zenon_H15a zenon_H57 zenon_H1ca zenon_H1f3 zenon_H10b zenon_H79 zenon_H106 zenon_H157 zenon_H90 zenon_H14f zenon_H11b zenon_H3c zenon_Hcb zenon_H30 zenon_H117 zenon_H105 zenon_H41 zenon_H9a. % 11.40/11.59 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ]. % 11.40/11.59 apply (zenon_L58_); trivial. % 11.40/11.59 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ]. % 11.40/11.59 apply (zenon_L768_); trivial. % 11.40/11.59 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ]. % 11.40/11.59 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H1f | zenon_intro zenon_H107 ]. % 11.40/11.59 apply (zenon_L764_); trivial. % 11.40/11.59 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H56 | zenon_intro zenon_H108 ]. % 11.40/11.59 apply (zenon_L247_); trivial. % 11.40/11.59 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hc5 | zenon_intro zenon_He6 ]. % 11.40/11.59 apply (zenon_L398_); trivial. % 11.40/11.59 apply (zenon_L796_); trivial. % 11.40/11.59 apply (zenon_L302_); trivial. % 11.40/11.59 (* end of lemma zenon_L797_ *) % 11.40/11.59 assert (zenon_L798_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e2) = (e3))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((e1) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e2) (e2)) = (e2))/\(((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0)))/\(((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e0)) = (e0)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((e0) = (e1))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> False). % 11.40/11.59 do 0 intro. intros zenon_H4c zenon_H41 zenon_H105 zenon_H117 zenon_H30 zenon_Hcb zenon_H3c zenon_H11b zenon_H14f zenon_H157 zenon_H106 zenon_H1f3 zenon_Hc8 zenon_H5a zenon_H16a zenon_H69 zenon_H5c zenon_H161 zenon_H132 zenon_Hc0 zenon_H44 zenon_H226 zenon_H167 zenon_H212 zenon_H8d zenon_H22e zenon_H228 zenon_H1d8 zenon_H34 zenon_Hb8 zenon_H27 zenon_H49 zenon_H79 zenon_H68 zenon_H10b zenon_H1ca zenon_H57 zenon_H15a zenon_H20 zenon_Hd0 zenon_H61 zenon_H90. % 11.40/11.59 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.40/11.59 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.40/11.59 apply (zenon_L160_); trivial. % 11.40/11.59 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.40/11.59 apply (zenon_L784_); trivial. % 11.40/11.59 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.40/11.59 apply (zenon_L57_); trivial. % 11.40/11.59 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ]. % 11.40/11.59 apply (zenon_L160_); trivial. % 11.40/11.59 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ]. % 11.40/11.59 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.40/11.59 apply (zenon_L58_); trivial. % 11.40/11.59 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.40/11.59 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ]. % 11.40/11.59 apply (zenon_L58_); trivial. % 11.40/11.59 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ]. % 11.40/11.59 apply (zenon_L768_); trivial. % 11.40/11.59 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ]. % 11.40/11.59 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H1f | zenon_intro zenon_H107 ]. % 11.40/11.59 apply (zenon_L764_); trivial. % 11.40/11.59 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H56 | zenon_intro zenon_H108 ]. % 11.40/11.59 apply (zenon_L247_); trivial. % 11.40/11.59 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hc5 | zenon_intro zenon_He6 ]. % 11.40/11.59 apply (zenon_L398_); trivial. % 11.40/11.59 apply (zenon_L795_); trivial. % 11.40/11.59 apply (zenon_L762_); trivial. % 11.40/11.59 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.40/11.59 apply (zenon_L59_); trivial. % 11.40/11.59 apply (zenon_L11_); trivial. % 11.40/11.59 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ]. % 11.40/11.59 apply (zenon_L553_); trivial. % 11.40/11.59 apply (zenon_L797_); trivial. % 11.40/11.59 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.40/11.59 apply (zenon_L326_); trivial. % 11.40/11.59 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.40/11.59 apply (zenon_L61_); trivial. % 11.40/11.59 apply (zenon_L127_); trivial. % 11.40/11.59 (* end of lemma zenon_L798_ *) % 11.40/11.59 assert (zenon_L799_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((e1) = (e2))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> ((op (e1) (e0)) = (e3)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((e2) = (e3))) -> ((op (e2) (e2)) = (e2)) -> (~((e1) = (e3))) -> False). % 11.40/11.59 do 0 intro. intros zenon_H22e zenon_H20 zenon_H228 zenon_H90 zenon_H30 zenon_Hf3 zenon_H34 zenon_Hd0 zenon_H75 zenon_H10e zenon_H41 zenon_H5a zenon_H3c. % 11.40/11.59 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H2e | zenon_intro zenon_H22f ]. % 11.40/11.59 apply (zenon_L61_); trivial. % 11.40/11.59 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H88 | zenon_intro zenon_H230 ]. % 11.40/11.59 apply (zenon_L391_); trivial. % 11.40/11.59 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H11f | zenon_intro zenon_H1d9 ]. % 11.40/11.59 apply (zenon_L505_); trivial. % 11.40/11.59 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H3b | zenon_intro zenon_Hf4 ]. % 11.40/11.59 apply (zenon_L59_); trivial. % 11.40/11.59 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H89 | zenon_intro zenon_Hf5 ]. % 11.40/11.59 apply (zenon_L229_); trivial. % 11.40/11.59 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_He1 | zenon_intro zenon_Hec ]. % 11.40/11.59 apply (zenon_L70_); trivial. % 11.40/11.59 apply (zenon_L273_); trivial. % 11.40/11.59 (* end of lemma zenon_L799_ *) % 11.40/11.59 assert (zenon_L800_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((e0) = (e1))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e1)) = (e3))) -> ((op (e1) (e1)) = (e0)) -> ((op (e1) (e0)) = (e2)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e3)) -> ((op (e0) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((e2) = (e3))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False). % 11.40/11.59 do 0 intro. intros zenon_H8d zenon_H3c zenon_H10e zenon_Hd0 zenon_H34 zenon_Hf3 zenon_H30 zenon_H90 zenon_H228 zenon_H20 zenon_H22e zenon_H79 zenon_H10c zenon_H58 zenon_H167 zenon_H226 zenon_H15e zenon_H39 zenon_Hcb zenon_H41 zenon_H5a zenon_H117. % 11.40/11.59 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H75 | zenon_intro zenon_H8e ]. % 11.40/11.59 apply (zenon_L799_); trivial. % 11.40/11.59 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H78 | zenon_intro zenon_H8f ]. % 11.40/11.59 exact (zenon_H79 zenon_H78). % 11.40/11.59 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H8b ]. % 11.40/11.59 apply (zenon_L291_); trivial. % 11.40/11.59 apply (zenon_L744_); trivial. % 11.40/11.59 (* end of lemma zenon_L800_ *) % 11.40/11.59 assert (zenon_L801_ : (((op (e2) (e2)) = (e2))/\(((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0)))/\(((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))))))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> False). % 11.40/11.59 do 0 intro. intros zenon_H132 zenon_Hc7 zenon_Hc8. % 11.40/11.59 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H5a. zenon_intro zenon_H133. % 11.40/11.59 apply (zenon_L54_); trivial. % 11.40/11.59 (* end of lemma zenon_L801_ *) % 11.40/11.59 assert (zenon_L802_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e3)) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e2))/\(((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0)))/\(((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))))))) -> ((op (e3) (e1)) = (e0)) -> (~((e0) = (e2))) -> False). % 11.40/11.59 do 0 intro. intros zenon_H106 zenon_H41 zenon_H39 zenon_H68 zenon_Hc8 zenon_H132 zenon_H120 zenon_H27. % 11.40/11.59 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H2c | zenon_intro zenon_H109 ]. % 11.40/11.59 apply (zenon_L65_); trivial. % 11.40/11.59 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H6c | zenon_intro zenon_H10a ]. % 11.40/11.59 exact (zenon_H68 zenon_H6c). % 11.40/11.59 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Ha4 ]. % 11.40/11.59 apply (zenon_L801_); trivial. % 11.40/11.59 apply (zenon_L98_); trivial. % 11.40/11.59 (* end of lemma zenon_L802_ *) % 11.40/11.59 assert (zenon_L803_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e0)) = (e1)) -> (~((e1) = (e3))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((e0) = (e1))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e3))) -> ((op (e2) (e0)) = (e0)) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e2)) -> False). % 11.40/11.59 do 0 intro. intros zenon_H161 zenon_H4f zenon_H3c zenon_H5a zenon_H10e zenon_Hd0 zenon_Hf3 zenon_H30 zenon_H90 zenon_H228 zenon_H20 zenon_H22e zenon_H34 zenon_H6e zenon_H41 zenon_H9a. % 11.40/11.59 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ]. % 11.40/11.59 apply (zenon_L58_); trivial. % 11.40/11.59 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ]. % 11.40/11.59 apply (zenon_L799_); trivial. % 11.40/11.59 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ]. % 11.40/11.59 apply (zenon_L161_); trivial. % 11.40/11.59 apply (zenon_L302_); trivial. % 11.40/11.59 (* end of lemma zenon_L803_ *) % 11.40/11.59 assert (zenon_L804_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e2))/\(((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0)))/\(((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e0)) = (e1)) -> (~((e1) = (e3))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((e0) = (e1))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e3))) -> ((op (e2) (e0)) = (e0)) -> (~((e2) = (e3))) -> False). % 11.40/11.59 do 0 intro. intros zenon_H49 zenon_Hb1 zenon_Had zenon_H222 zenon_Hb0 zenon_Hb8 zenon_H203 zenon_H117 zenon_Hcb zenon_H226 zenon_H167 zenon_H79 zenon_H8d zenon_Hc4 zenon_H106 zenon_H68 zenon_Hc8 zenon_H132 zenon_H44 zenon_H27 zenon_H161 zenon_H4f zenon_H3c zenon_H5a zenon_H10e zenon_Hd0 zenon_Hf3 zenon_H30 zenon_H90 zenon_H228 zenon_H20 zenon_H22e zenon_H34 zenon_H6e zenon_H41. % 11.40/11.59 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.40/11.59 apply (zenon_L160_); trivial. % 11.40/11.59 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.40/11.59 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ]. % 11.40/11.59 apply (zenon_L58_); trivial. % 11.40/11.59 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ]. % 11.40/11.59 apply (zenon_L799_); trivial. % 11.40/11.59 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ]. % 11.40/11.59 apply (zenon_L161_); trivial. % 11.40/11.59 apply (zenon_L493_); trivial. % 11.40/11.59 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.40/11.59 apply (zenon_L57_); trivial. % 11.40/11.59 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ]. % 11.40/11.59 apply (zenon_L160_); trivial. % 11.40/11.59 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ]. % 11.40/11.59 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.40/11.59 apply (zenon_L58_); trivial. % 11.40/11.59 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.40/11.59 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ]. % 11.40/11.59 apply (zenon_L58_); trivial. % 11.40/11.59 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ]. % 11.40/11.59 apply (zenon_L799_); trivial. % 11.40/11.59 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ]. % 11.40/11.59 apply (zenon_L161_); trivial. % 11.40/11.59 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H1e | zenon_intro zenon_H204 ]. % 11.40/11.59 apply (zenon_L8_); trivial. % 11.40/11.59 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H10c | zenon_intro zenon_H205 ]. % 11.40/11.59 apply (zenon_L800_); trivial. % 11.40/11.59 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_Hcc | zenon_intro zenon_H120 ]. % 11.40/11.59 apply (zenon_L464_); trivial. % 11.40/11.59 apply (zenon_L802_); trivial. % 11.40/11.59 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.40/11.59 apply (zenon_L59_); trivial. % 11.40/11.59 apply (zenon_L11_); trivial. % 11.40/11.59 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ]. % 11.40/11.59 apply (zenon_L48_); trivial. % 11.40/11.59 apply (zenon_L803_); trivial. % 11.40/11.59 (* end of lemma zenon_L804_ *) % 11.40/11.59 assert (zenon_L805_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (e2))) -> (~((e1) = (e2))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e2) (e0)) = (e0)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e2)) = (e2))/\(((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0)))/\(((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> False). % 11.40/11.59 do 0 intro. intros zenon_H4c zenon_H233 zenon_He5 zenon_H15d zenon_Hf0 zenon_H5a zenon_Hc8 zenon_H68 zenon_H30 zenon_H106 zenon_H6e zenon_H11b zenon_H16c zenon_Hcb zenon_H117 zenon_H49 zenon_Hb1 zenon_Had zenon_H222 zenon_Hb0 zenon_Hb8 zenon_H203 zenon_H226 zenon_H167 zenon_H79 zenon_H8d zenon_Hc4 zenon_H132 zenon_H44 zenon_H27 zenon_H161 zenon_H3c zenon_H10e zenon_Hf3 zenon_H228 zenon_H22e zenon_H34 zenon_H41 zenon_Hb7 zenon_H20 zenon_Hd0 zenon_H61 zenon_H90. % 11.40/11.59 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.40/11.59 apply (zenon_L804_); trivial. % 11.40/11.59 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.40/11.59 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ]. % 11.40/11.59 apply (zenon_L804_); trivial. % 11.40/11.59 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ]. % 11.40/11.59 apply (zenon_L760_); trivial. % 11.40/11.59 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ]. % 11.40/11.59 apply (zenon_L29_); trivial. % 11.40/11.59 apply (zenon_L773_); trivial. % 11.40/11.59 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.40/11.59 apply (zenon_L61_); trivial. % 11.40/11.59 apply (zenon_L127_); trivial. % 11.40/11.59 (* end of lemma zenon_L805_ *) % 11.40/11.59 assert (zenon_L806_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e1)) -> ((op (e1) (e0)) = (e2)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e3)) -> False). % 11.40/11.59 do 0 intro. intros zenon_H8d zenon_H34 zenon_H57 zenon_H79 zenon_H68 zenon_H157 zenon_Hc5 zenon_H58 zenon_H15a zenon_H61 zenon_H40. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H75 | zenon_intro zenon_H8e ]. % 11.40/11.60 apply (zenon_L118_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H78 | zenon_intro zenon_H8f ]. % 11.40/11.60 exact (zenon_H79 zenon_H78). % 11.40/11.60 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H8b ]. % 11.40/11.60 apply (zenon_L366_); trivial. % 11.40/11.60 apply (zenon_L634_); trivial. % 11.40/11.60 (* end of lemma zenon_L806_ *) % 11.40/11.60 assert (zenon_L807_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> ((op (e0) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e1) (e0)) = (e2)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (e2))) -> (~((e0) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e3))) -> False). % 11.40/11.60 do 0 intro. intros zenon_H105 zenon_H14f zenon_H90 zenon_H40 zenon_H61 zenon_H58 zenon_H157 zenon_H68 zenon_H34 zenon_H8d zenon_H15a zenon_H57 zenon_H1ca zenon_H1f3 zenon_H2c zenon_H10b zenon_H79. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H1f | zenon_intro zenon_H107 ]. % 11.40/11.60 apply (zenon_L326_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H56 | zenon_intro zenon_H108 ]. % 11.40/11.60 apply (zenon_L247_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hc5 | zenon_intro zenon_He6 ]. % 11.40/11.60 apply (zenon_L806_); trivial. % 11.40/11.60 apply (zenon_L783_); trivial. % 11.40/11.60 (* end of lemma zenon_L807_ *) % 11.40/11.60 assert (zenon_L808_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e1) (e1)) = (e3))) -> ((op (e1) (e1)) = (e0)) -> ((op (e1) (e0)) = (e2)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e3)) -> False). % 11.40/11.60 do 0 intro. intros zenon_H8d zenon_H41 zenon_H79 zenon_H10c zenon_H58 zenon_H61 zenon_H40. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H75 | zenon_intro zenon_H8e ]. % 11.40/11.60 apply (zenon_L31_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H78 | zenon_intro zenon_H8f ]. % 11.40/11.60 exact (zenon_H79 zenon_H78). % 11.40/11.60 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H8b ]. % 11.40/11.60 apply (zenon_L291_); trivial. % 11.40/11.60 apply (zenon_L634_); trivial. % 11.40/11.60 (* end of lemma zenon_L808_ *) % 11.40/11.60 assert (zenon_L809_ : (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((e2) = (e3))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (e2))) -> (~((e0) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((op (e0) (e0)) = (e1)) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e2))) -> False). % 11.40/11.60 do 0 intro. intros zenon_Hb8 zenon_H30 zenon_Hb1 zenon_H192 zenon_H41 zenon_H197 zenon_H13f zenon_Hd0 zenon_H8d zenon_H79 zenon_H61 zenon_H105 zenon_H14f zenon_H90 zenon_H157 zenon_H68 zenon_H34 zenon_H15a zenon_H1ca zenon_H1f3 zenon_H2c zenon_H10b zenon_H113 zenon_H4f zenon_H3c zenon_H44 zenon_Hc0 zenon_H5a zenon_Hc3 zenon_H27. % 11.40/11.60 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ]. % 11.40/11.60 apply (zenon_L160_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ]. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.40/11.60 apply (zenon_L58_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.40/11.60 apply (zenon_L65_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.40/11.60 apply (zenon_L59_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ]. % 11.40/11.60 apply (zenon_L807_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ]. % 11.40/11.60 apply (zenon_L808_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ]. % 11.40/11.60 apply (zenon_L293_); trivial. % 11.40/11.60 apply (zenon_L781_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ]. % 11.40/11.60 apply (zenon_L50_); trivial. % 11.40/11.60 apply (zenon_L51_); trivial. % 11.40/11.60 (* end of lemma zenon_L809_ *) % 11.40/11.60 assert (zenon_L810_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e2) (e2)) = (e2))/\(((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0)))/\(((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e0) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e2)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((e2) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e0) = (e1))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> False). % 11.40/11.60 do 0 intro. intros zenon_H12d zenon_H1b8 zenon_H212 zenon_H5c zenon_H69 zenon_H16a zenon_Hb7 zenon_H132 zenon_Hc4 zenon_H167 zenon_H226 zenon_H203 zenon_Hb0 zenon_H222 zenon_Had zenon_H16c zenon_H106 zenon_Hc8 zenon_Hf0 zenon_H15d zenon_He5 zenon_H233 zenon_H4c zenon_H27 zenon_Hc0 zenon_H44 zenon_H1d8 zenon_H79 zenon_H68 zenon_H157 zenon_H15a zenon_H14f zenon_H105 zenon_Hb8 zenon_H65 zenon_Hb1 zenon_H192 zenon_H197 zenon_H13f zenon_H8d zenon_H1ca zenon_H1f3 zenon_H10b zenon_H113 zenon_H49 zenon_H34 zenon_H11b zenon_H3c zenon_Hcb zenon_H5a zenon_H30 zenon_H117 zenon_H22e zenon_H228 zenon_Hf3 zenon_H10e zenon_H41 zenon_H38 zenon_H161 zenon_H20 zenon_Hd0 zenon_H61 zenon_H90. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H25 | zenon_intro zenon_H12e ]. % 11.40/11.60 apply (zenon_L221_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H57 | zenon_intro zenon_H12f ]. % 11.40/11.60 apply (zenon_L798_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H6e | zenon_intro zenon_Hc3 ]. % 11.40/11.60 apply (zenon_L805_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.40/11.60 apply (zenon_L160_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.40/11.60 apply (zenon_L809_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.40/11.60 apply (zenon_L23_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ]. % 11.40/11.60 apply (zenon_L160_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ]. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.40/11.60 exact (zenon_H38 zenon_H33). % 11.40/11.60 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H1f | zenon_intro zenon_H107 ]. % 11.40/11.60 apply (zenon_L130_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H56 | zenon_intro zenon_H108 ]. % 11.40/11.60 apply (zenon_L247_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hc5 | zenon_intro zenon_He6 ]. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H2e | zenon_intro zenon_H22f ]. % 11.40/11.60 apply (zenon_L61_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H88 | zenon_intro zenon_H230 ]. % 11.40/11.60 apply (zenon_L391_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H11f | zenon_intro zenon_H1d9 ]. % 11.40/11.60 apply (zenon_L505_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H3b | zenon_intro zenon_Hf4 ]. % 11.40/11.60 apply (zenon_L59_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H89 | zenon_intro zenon_Hf5 ]. % 11.40/11.60 apply (zenon_L366_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_He1 | zenon_intro zenon_Hec ]. % 11.40/11.60 apply (zenon_L70_); trivial. % 11.40/11.60 apply (zenon_L273_); trivial. % 11.40/11.60 apply (zenon_L795_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.40/11.60 apply (zenon_L59_); trivial. % 11.40/11.60 apply (zenon_L11_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ]. % 11.40/11.60 apply (zenon_L50_); trivial. % 11.40/11.60 apply (zenon_L51_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ]. % 11.40/11.60 exact (zenon_H38 zenon_H33). % 11.40/11.60 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ]. % 11.40/11.60 apply (zenon_L799_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ]. % 11.40/11.60 apply (zenon_L764_); trivial. % 11.40/11.60 apply (zenon_L201_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.40/11.60 apply (zenon_L61_); trivial. % 11.40/11.60 apply (zenon_L127_); trivial. % 11.40/11.60 (* end of lemma zenon_L810_ *) % 11.40/11.60 assert (zenon_L811_ : (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> False). % 11.40/11.60 do 0 intro. intros zenon_Hf0 zenon_H72 zenon_H13a zenon_H90 zenon_H141 zenon_Hb1 zenon_H233. % 11.40/11.60 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf1 ]. % 11.40/11.60 apply (zenon_L466_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_He7 | zenon_intro zenon_Hf2 ]. % 11.40/11.60 apply (zenon_L248_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_Hb4 | zenon_intro zenon_Hed ]. % 11.40/11.60 exact (zenon_Hb1 zenon_Hb4). % 11.40/11.60 exact (zenon_H233 zenon_Hed). % 11.40/11.60 (* end of lemma zenon_L811_ *) % 11.40/11.60 assert (zenon_L812_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e0)) = (e0)) -> (~((e2) = (e3))) -> ((op (e1) (e0)) = (e2)) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e1)) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> False). % 11.40/11.60 do 0 intro. intros zenon_H161 zenon_H34 zenon_H25 zenon_H41 zenon_H58 zenon_H3c zenon_H6f zenon_Hec zenon_Hf6. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ]. % 11.40/11.60 apply (zenon_L7_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ]. % 11.40/11.60 apply (zenon_L31_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ]. % 11.40/11.60 apply (zenon_L136_); trivial. % 11.40/11.60 apply (zenon_L269_); trivial. % 11.40/11.60 (* end of lemma zenon_L812_ *) % 11.40/11.60 assert (zenon_L813_ : (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e0)) = (e0)) -> ((op (e0) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (e2))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e1)) -> (~((e2) = (e3))) -> False). % 11.40/11.60 do 0 intro. intros zenon_Hb8 zenon_H2b zenon_Hf6 zenon_Hec zenon_H30 zenon_H161 zenon_H34 zenon_H25 zenon_H3f zenon_H61 zenon_H5a zenon_H5c zenon_H68 zenon_H69 zenon_H3c zenon_H6f zenon_H41. % 11.40/11.60 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ]. % 11.40/11.60 exact (zenon_H2b zenon_H26). % 11.40/11.60 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ]. % 11.40/11.60 apply (zenon_L812_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ]. % 11.40/11.60 apply (zenon_L108_); trivial. % 11.40/11.60 apply (zenon_L769_); trivial. % 11.40/11.60 (* end of lemma zenon_L813_ *) % 11.40/11.60 assert (zenon_L814_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e0)) = (e0)) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> False). % 11.40/11.60 do 0 intro. intros zenon_Hb7 zenon_H20 zenon_H90 zenon_H117 zenon_Hcb zenon_H16c zenon_H11b zenon_H41 zenon_H3c zenon_H69 zenon_H5c zenon_H61 zenon_H25 zenon_H34 zenon_H161 zenon_Hec zenon_Hf6 zenon_H2b zenon_Hb8 zenon_H65 zenon_H49 zenon_H106 zenon_H30 zenon_H1f zenon_H68 zenon_Hc8 zenon_H5a zenon_Hf0 zenon_H15d zenon_He5 zenon_H233. % 11.40/11.60 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ]. % 11.40/11.60 apply (zenon_L129_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ]. % 11.40/11.60 apply (zenon_L760_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ]. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.40/11.60 exact (zenon_H2b zenon_H26). % 11.40/11.60 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.40/11.60 apply (zenon_L211_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.40/11.60 apply (zenon_L23_); trivial. % 11.40/11.60 apply (zenon_L813_); trivial. % 11.40/11.60 apply (zenon_L773_); trivial. % 11.40/11.60 (* end of lemma zenon_L814_ *) % 11.40/11.60 assert (zenon_L815_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e1) (e1)) = (e2))) -> ((op (e0) (e1)) = (e3)) -> (~((e2) = (e3))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e2)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e0)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> False). % 11.40/11.60 do 0 intro. intros zenon_H1f0 zenon_H233 zenon_He5 zenon_H15d zenon_Hf0 zenon_H30 zenon_Hc5 zenon_H68 zenon_H39 zenon_H41 zenon_H106 zenon_Hf6 zenon_Hec zenon_H16a zenon_Ha4 zenon_H1e2 zenon_H25 zenon_H1df zenon_H2e zenon_H101 zenon_H141 zenon_H90. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H99 | zenon_intro zenon_H1f1 ]. % 11.40/11.60 apply (zenon_L774_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_He6 | zenon_intro zenon_H1f2 ]. % 11.40/11.60 apply (zenon_L270_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H1d9 | zenon_intro zenon_He7 ]. % 11.40/11.60 apply (zenon_L476_); trivial. % 11.40/11.60 apply (zenon_L248_); trivial. % 11.40/11.60 (* end of lemma zenon_L815_ *) % 11.40/11.60 assert (zenon_L816_ : (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e2))/\(((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0)))/\(((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e1) (e1)) = (e2))) -> ((op (e0) (e1)) = (e3)) -> (~((e2) = (e3))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e0)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> False). % 11.40/11.60 do 0 intro. intros zenon_Hc8 zenon_H132 zenon_H1f0 zenon_H233 zenon_He5 zenon_H15d zenon_Hf0 zenon_H30 zenon_Hc5 zenon_H68 zenon_H39 zenon_H41 zenon_H106 zenon_Hf6 zenon_Hec zenon_H16a zenon_H1e2 zenon_H25 zenon_H1df zenon_H2e zenon_H101 zenon_H141 zenon_H90. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H2c | zenon_intro zenon_H109 ]. % 11.40/11.60 apply (zenon_L65_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H6c | zenon_intro zenon_H10a ]. % 11.40/11.60 exact (zenon_H68 zenon_H6c). % 11.40/11.60 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Ha4 ]. % 11.40/11.60 apply (zenon_L801_); trivial. % 11.40/11.60 apply (zenon_L815_); trivial. % 11.40/11.60 (* end of lemma zenon_L816_ *) % 11.40/11.60 assert (zenon_L817_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e1)) -> (~((e1) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e2) (e2)) = (e2))/\(((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0)))/\(((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e3)) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> False). % 11.40/11.60 do 0 intro. intros zenon_H105 zenon_H3c zenon_H14f zenon_H90 zenon_H141 zenon_H101 zenon_H2e zenon_H30 zenon_Hf0 zenon_H15d zenon_He5 zenon_H233 zenon_H1f0 zenon_H132 zenon_H106 zenon_H41 zenon_H39 zenon_H68 zenon_Hc8 zenon_H5a zenon_H1df zenon_H25 zenon_H1e2 zenon_H16a zenon_Hec zenon_Hf6. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H1f | zenon_intro zenon_H107 ]. % 11.40/11.60 apply (zenon_L130_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H56 | zenon_intro zenon_H108 ]. % 11.40/11.60 apply (zenon_L247_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hc5 | zenon_intro zenon_He6 ]. % 11.40/11.60 apply (zenon_L816_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H2c | zenon_intro zenon_H109 ]. % 11.40/11.60 apply (zenon_L65_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H6c | zenon_intro zenon_H10a ]. % 11.40/11.60 exact (zenon_H68 zenon_H6c). % 11.40/11.60 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Ha4 ]. % 11.40/11.60 apply (zenon_L54_); trivial. % 11.40/11.60 apply (zenon_L270_); trivial. % 11.40/11.60 (* end of lemma zenon_L817_ *) % 11.40/11.60 assert (zenon_L818_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e3)) -> False). % 11.40/11.60 do 0 intro. intros zenon_H8d zenon_H3c zenon_H6d zenon_H79 zenon_H125 zenon_Hec zenon_H61 zenon_H40. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H75 | zenon_intro zenon_H8e ]. % 11.40/11.60 apply (zenon_L123_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H78 | zenon_intro zenon_H8f ]. % 11.40/11.60 exact (zenon_H79 zenon_H78). % 11.40/11.60 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H8b ]. % 11.40/11.60 apply (zenon_L101_); trivial. % 11.40/11.60 apply (zenon_L634_); trivial. % 11.40/11.60 (* end of lemma zenon_L818_ *) % 11.40/11.60 assert (zenon_L819_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e0)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (e2))) -> (~((e2) = (e3))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e2) (e2)) = (e2))/\(((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0)))/\(((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> ((op (e0) (e2)) = (e1)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False). % 11.40/11.60 do 0 intro. intros zenon_H44 zenon_H34 zenon_Hf6 zenon_H16a zenon_H1e2 zenon_H25 zenon_H1df zenon_H5a zenon_Hc8 zenon_H68 zenon_H41 zenon_H106 zenon_H132 zenon_H1f0 zenon_H233 zenon_He5 zenon_H15d zenon_Hf0 zenon_H30 zenon_H101 zenon_H141 zenon_H90 zenon_H14f zenon_H105 zenon_H2e zenon_H8d zenon_H3c zenon_H6d zenon_H79 zenon_H125 zenon_Hec zenon_H61. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.40/11.60 apply (zenon_L7_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.40/11.60 apply (zenon_L817_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.40/11.60 apply (zenon_L9_); trivial. % 11.40/11.60 apply (zenon_L818_); trivial. % 11.40/11.60 (* end of lemma zenon_L819_ *) % 11.40/11.60 assert (zenon_L820_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e0)) = (e0)) -> ((op (e3) (e0)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e1)) = (e2))) -> (~((e1) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e1)) -> (~((e2) = (e3))) -> False). % 11.40/11.60 do 0 intro. intros zenon_H49 zenon_Hc0 zenon_H101 zenon_Hec zenon_H61 zenon_H15a zenon_H157 zenon_H79 zenon_H8d zenon_H2b zenon_Hb8 zenon_H65 zenon_H44 zenon_H34 zenon_H25 zenon_H99 zenon_H16a zenon_H106 zenon_H68 zenon_H30 zenon_Hf0 zenon_H15d zenon_He5 zenon_H233 zenon_H90 zenon_H14f zenon_Hc8 zenon_H5a zenon_H105 zenon_H3c zenon_H2e zenon_H41. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.40/11.60 exact (zenon_H2b zenon_H26). % 11.40/11.60 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.40/11.60 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ]. % 11.40/11.60 exact (zenon_H2b zenon_H26). % 11.40/11.60 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ]. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.40/11.60 apply (zenon_L7_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.40/11.60 apply (zenon_L775_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.40/11.60 apply (zenon_L80_); trivial. % 11.40/11.60 apply (zenon_L772_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ]. % 11.40/11.60 apply (zenon_L50_); trivial. % 11.40/11.60 apply (zenon_L41_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.40/11.60 apply (zenon_L23_); trivial. % 11.40/11.60 apply (zenon_L776_); trivial. % 11.40/11.60 (* end of lemma zenon_L820_ *) % 11.40/11.60 assert (zenon_L821_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e0)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> False). % 11.40/11.60 do 0 intro. intros zenon_H11b zenon_H20 zenon_H6e zenon_H79 zenon_H68 zenon_H157 zenon_H10b zenon_H1e zenon_H15a zenon_H2e zenon_H65 zenon_H117 zenon_H90. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H6f | zenon_intro zenon_H11d ]. % 11.40/11.60 apply (zenon_L29_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H11e ]. % 11.40/11.60 apply (zenon_L376_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H11f | zenon_intro zenon_H118 ]. % 11.40/11.60 apply (zenon_L578_); trivial. % 11.40/11.60 apply (zenon_L96_); trivial. % 11.40/11.60 (* end of lemma zenon_L821_ *) % 11.40/11.60 assert (zenon_L822_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e0) (e1)) = (e2)) -> (~((e0) = (e2))) -> ((op (e3) (e2)) = (e3)) -> (~((e0) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e3) (e0)) = (e1)) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e1)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e0)) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (e3))) -> False). % 11.40/11.60 do 0 intro. intros zenon_H122 zenon_H2c zenon_H27 zenon_Hec zenon_H34 zenon_Hb0 zenon_H30 zenon_H99 zenon_H5a zenon_Had zenon_H15a zenon_H10b zenon_H1cb zenon_H145 zenon_He5 zenon_H1f3 zenon_H222 zenon_H1e zenon_H223 zenon_H68 zenon_H79. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H123 ]. % 11.40/11.60 apply (zenon_L789_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H120 | zenon_intro zenon_H124 ]. % 11.40/11.60 apply (zenon_L472_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H9d ]. % 11.40/11.60 apply (zenon_L89_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H9a | zenon_intro zenon_Hb2 ]. % 11.40/11.60 apply (zenon_L41_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Hb3 ]. % 11.40/11.60 apply (zenon_L45_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_Hae | zenon_intro zenon_Hb4 ]. % 11.40/11.60 apply (zenon_L46_); trivial. % 11.40/11.60 apply (zenon_L788_); trivial. % 11.40/11.60 (* end of lemma zenon_L822_ *) % 11.40/11.60 assert (zenon_L823_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> ((op (e0) (e2)) = (e1)) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (e2))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e3))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e2))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e1)) -> False). % 11.40/11.60 do 0 intro. intros zenon_H49 zenon_H2b zenon_H2e zenon_H105 zenon_Hc8 zenon_H14f zenon_H90 zenon_H233 zenon_He5 zenon_H15d zenon_Hf0 zenon_H30 zenon_H68 zenon_H148 zenon_H13a zenon_H41 zenon_Hb0 zenon_H34 zenon_H222 zenon_H1e zenon_H27 zenon_H5a zenon_Had zenon_H15a zenon_H10b zenon_H1cb zenon_H1f3 zenon_H223 zenon_H79 zenon_H122 zenon_Hec zenon_H1d8 zenon_H106 zenon_H16a zenon_H99. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.40/11.60 exact (zenon_H2b zenon_H26). % 11.40/11.60 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H39 | zenon_intro zenon_H149 ]. % 11.40/11.60 apply (zenon_L65_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H78 | zenon_intro zenon_H14a ]. % 11.40/11.60 exact (zenon_H79 zenon_H78). % 11.40/11.60 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H145 | zenon_intro zenon_H147 ]. % 11.40/11.60 apply (zenon_L822_); trivial. % 11.40/11.60 apply (zenon_L279_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.40/11.60 apply (zenon_L6_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H1f | zenon_intro zenon_H107 ]. % 11.40/11.60 apply (zenon_L773_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H56 | zenon_intro zenon_H108 ]. % 11.40/11.60 apply (zenon_L247_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hc5 | zenon_intro zenon_He6 ]. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H2c | zenon_intro zenon_H109 ]. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H39 | zenon_intro zenon_H149 ]. % 11.40/11.60 apply (zenon_L65_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H78 | zenon_intro zenon_H14a ]. % 11.40/11.60 exact (zenon_H79 zenon_H78). % 11.40/11.60 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H145 | zenon_intro zenon_H147 ]. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H123 ]. % 11.40/11.60 apply (zenon_L789_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H120 | zenon_intro zenon_H124 ]. % 11.40/11.60 apply (zenon_L472_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H9d ]. % 11.40/11.60 apply (zenon_L89_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H9a | zenon_intro zenon_Hb2 ]. % 11.40/11.60 apply (zenon_L41_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Hb3 ]. % 11.40/11.60 apply (zenon_L45_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_Hae | zenon_intro zenon_Hb4 ]. % 11.40/11.60 apply (zenon_L271_); trivial. % 11.40/11.60 apply (zenon_L420_); trivial. % 11.40/11.60 apply (zenon_L279_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H6c | zenon_intro zenon_H10a ]. % 11.40/11.60 exact (zenon_H68 zenon_H6c). % 11.40/11.60 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Ha4 ]. % 11.40/11.60 apply (zenon_L95_); trivial. % 11.40/11.60 apply (zenon_L738_); trivial. % 11.40/11.60 apply (zenon_L146_); trivial. % 11.40/11.60 (* end of lemma zenon_L823_ *) % 11.40/11.60 assert (zenon_L824_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((e0) = (e2))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((e0) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e2))) -> (~((e1) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((e0) = (e1))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> False). % 11.40/11.60 do 0 intro. intros zenon_H4c zenon_H16a zenon_H106 zenon_H1d8 zenon_Hec zenon_H122 zenon_H79 zenon_H223 zenon_H1f3 zenon_H1cb zenon_H10b zenon_H15a zenon_Had zenon_H5a zenon_H27 zenon_H1e zenon_H222 zenon_H34 zenon_Hb0 zenon_H41 zenon_H13a zenon_H148 zenon_H68 zenon_H30 zenon_Hf0 zenon_H15d zenon_He5 zenon_H233 zenon_H14f zenon_Hc8 zenon_H105 zenon_H2b zenon_H49 zenon_Hfa zenon_H117 zenon_H65 zenon_H157 zenon_H20 zenon_H11b zenon_Hcb zenon_H1e2 zenon_He3 zenon_H44 zenon_H25 zenon_H101 zenon_H1ca zenon_Hb7 zenon_H61 zenon_H90. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.40/11.60 apply (zenon_L129_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.40/11.60 apply (zenon_L2_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.40/11.60 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ]. % 11.40/11.60 apply (zenon_L129_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ]. % 11.40/11.60 apply (zenon_L623_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ]. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.40/11.60 exact (zenon_H2b zenon_H26). % 11.40/11.60 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H39 | zenon_intro zenon_H149 ]. % 11.40/11.60 apply (zenon_L65_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H78 | zenon_intro zenon_H14a ]. % 11.40/11.60 exact (zenon_H79 zenon_H78). % 11.40/11.60 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H145 | zenon_intro zenon_H147 ]. % 11.40/11.60 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H6e | zenon_intro zenon_Hfc ]. % 11.40/11.60 apply (zenon_L821_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hfd ]. % 11.40/11.60 apply (zenon_L55_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hce | zenon_intro zenon_H96 ]. % 11.40/11.60 apply (zenon_L174_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H123 ]. % 11.40/11.60 apply (zenon_L261_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H120 | zenon_intro zenon_H124 ]. % 11.40/11.60 apply (zenon_L472_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H9d ]. % 11.40/11.60 apply (zenon_L89_); trivial. % 11.40/11.60 apply (zenon_L71_); trivial. % 11.40/11.60 apply (zenon_L279_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.40/11.60 apply (zenon_L6_); trivial. % 11.40/11.60 apply (zenon_L81_); trivial. % 11.40/11.60 apply (zenon_L823_); trivial. % 11.40/11.60 apply (zenon_L127_); trivial. % 11.40/11.60 (* end of lemma zenon_L824_ *) % 11.40/11.60 assert (zenon_L825_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e3))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e1)) = (e2))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e2)) -> ((op (e0) (e1)) = (e2)) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> False). % 11.40/11.60 do 0 intro. intros zenon_H148 zenon_H34 zenon_H79 zenon_H68 zenon_H223 zenon_H1e zenon_H222 zenon_H1f3 zenon_He5 zenon_H1cb zenon_H10b zenon_H15a zenon_Had zenon_H5a zenon_H2c zenon_Hc3 zenon_H27 zenon_Hb0 zenon_Hec zenon_H1d8. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H39 | zenon_intro zenon_H149 ]. % 11.40/11.60 apply (zenon_L8_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H78 | zenon_intro zenon_H14a ]. % 11.40/11.60 exact (zenon_H79 zenon_H78). % 11.40/11.60 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H145 | zenon_intro zenon_H147 ]. % 11.40/11.60 apply (zenon_L789_); trivial. % 11.40/11.60 apply (zenon_L279_); trivial. % 11.40/11.60 (* end of lemma zenon_L825_ *) % 11.40/11.60 assert (zenon_L826_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((e1) = (e2))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (e3))) -> (~((e0) = (e1))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e2)) = (e2)) -> (~((e0) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> False). % 11.40/11.60 do 0 intro. intros zenon_H12d zenon_H61 zenon_Hb7 zenon_H101 zenon_H44 zenon_H1e2 zenon_Hc8 zenon_H15d zenon_H41 zenon_H122 zenon_H106 zenon_H16a zenon_H4c zenon_H105 zenon_H14f zenon_H1ca zenon_H49 zenon_H2b zenon_H1d8 zenon_Hec zenon_Hb0 zenon_Had zenon_H1cb zenon_He5 zenon_H1f3 zenon_H222 zenon_H223 zenon_H34 zenon_H148 zenon_H65 zenon_Hfa zenon_H117 zenon_H30 zenon_H15a zenon_H10b zenon_H157 zenon_H68 zenon_H79 zenon_H20 zenon_H11b zenon_H1e zenon_Hcb zenon_H5a zenon_H27 zenon_Hf0 zenon_He3 zenon_H90 zenon_H141 zenon_H13a zenon_H233. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H25 | zenon_intro zenon_H12e ]. % 11.40/11.60 apply (zenon_L824_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H57 | zenon_intro zenon_H12f ]. % 11.40/11.60 apply (zenon_L787_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H6e | zenon_intro zenon_Hc3 ]. % 11.40/11.60 apply (zenon_L785_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.40/11.60 exact (zenon_H2b zenon_H26). % 11.40/11.60 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.40/11.60 apply (zenon_L825_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.40/11.60 apply (zenon_L23_); trivial. % 11.40/11.60 apply (zenon_L786_); trivial. % 11.40/11.60 (* end of lemma zenon_L826_ *) % 11.40/11.60 assert (zenon_L827_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> ((op (e2) (e2)) = (e2)) -> (~((e1) = (e2))) -> (~((e1) = (e3))) -> ((op (e3) (e2)) = (e3)) -> False). % 11.40/11.60 do 0 intro. intros zenon_H22e zenon_H20 zenon_Hd0 zenon_H228 zenon_H90 zenon_H5a zenon_H30 zenon_H3c zenon_Hec. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H2e | zenon_intro zenon_H22f ]. % 11.40/11.60 apply (zenon_L61_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H88 | zenon_intro zenon_H230 ]. % 11.40/11.60 apply (zenon_L391_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H11f | zenon_intro zenon_H1d9 ]. % 11.40/11.60 apply (zenon_L505_); trivial. % 11.40/11.60 apply (zenon_L273_); trivial. % 11.40/11.60 (* end of lemma zenon_L827_ *) % 11.40/11.60 assert (zenon_L828_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e0) = (e3))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e2) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e2))) -> False). % 11.40/11.60 do 0 intro. intros zenon_H49 zenon_H2b zenon_H34 zenon_Hec zenon_H101 zenon_H41 zenon_H38 zenon_H44 zenon_H65 zenon_H5a zenon_H72 zenon_H27. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.40/11.60 exact (zenon_H2b zenon_H26). % 11.40/11.60 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.40/11.60 exact (zenon_H38 zenon_H33). % 11.40/11.60 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.40/11.60 apply (zenon_L65_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.40/11.60 apply (zenon_L80_); trivial. % 11.40/11.60 apply (zenon_L379_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.40/11.60 apply (zenon_L23_); trivial. % 11.40/11.60 apply (zenon_L180_); trivial. % 11.40/11.60 (* end of lemma zenon_L828_ *) % 11.40/11.60 assert (zenon_L829_ : ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((e2) = (e3))) -> (~((e0) = (e1))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e1) = (e3))) -> (((op (e2) (e2)) = (e2))/\(((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0)))/\(((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> False). % 11.40/11.60 do 0 intro. intros zenon_H137 zenon_H12d zenon_H38 zenon_H65 zenon_H13f zenon_H197 zenon_H192 zenon_H113 zenon_H203 zenon_Hc4 zenon_H10e zenon_Hf3 zenon_Hb0 zenon_Had zenon_H222 zenon_Hb7 zenon_Hf0 zenon_H233 zenon_He5 zenon_H15d zenon_H16c zenon_H49 zenon_H44 zenon_H34 zenon_H69 zenon_H61 zenon_H5a zenon_H5c zenon_H41 zenon_H20 zenon_H228 zenon_H1d8 zenon_H22e zenon_Hcb zenon_H117 zenon_H11b zenon_H212 zenon_H167 zenon_H226 zenon_H8d zenon_H161 zenon_H3c zenon_H132 zenon_Hc0 zenon_H106 zenon_H16a zenon_Hc8 zenon_Hb8 zenon_H27 zenon_H14f zenon_H90 zenon_H15a zenon_H79 zenon_H157 zenon_H1ca zenon_H10b zenon_H1f3 zenon_H105 zenon_H30 zenon_H4c zenon_Hd0 zenon_H1b8 zenon_H138. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H68 | zenon_intro zenon_H88 ]. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hec ]. % 11.40/11.60 apply (zenon_L810_); trivial. % 11.40/11.60 apply (zenon_L827_); trivial. % 11.40/11.60 apply (zenon_L391_); trivial. % 11.40/11.60 (* end of lemma zenon_L829_ *) % 11.40/11.60 assert (zenon_L830_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((e0) = (e1))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))\/((((op (e1) (e1)) = (e1))/\(((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0)))/\(((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1)))/\(((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2)))/\((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3)))))))\/((((op (e2) (e2)) = (e2))/\(((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0)))/\(((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3)))))))\/(((op (e3) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3)))))))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((e1) = (e2))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e3))) -> False). % 11.40/11.60 do 0 intro. intros zenon_H1a2 zenon_H187 zenon_H1d8 zenon_H20 zenon_H65 zenon_H38 zenon_H161 zenon_H14f zenon_H8d zenon_H226 zenon_H167 zenon_H157 zenon_H15a zenon_H79 zenon_H212 zenon_H1f3 zenon_H105 zenon_H3c zenon_H41 zenon_H34 zenon_H10b zenon_H1ca zenon_Hc8 zenon_Hc4 zenon_H69 zenon_H27 zenon_Hf0 zenon_H141 zenon_He3 zenon_H194 zenon_H4c zenon_H236 zenon_H13a zenon_H1aa zenon_H1e2 zenon_Hb0 zenon_H148 zenon_H1f0 zenon_H1cb zenon_H251 zenon_He5 zenon_H18b zenon_H263 zenon_H95 zenon_H242 zenon_H122 zenon_Hfa zenon_Hc0 zenon_H192 zenon_He2 zenon_H19c zenon_H49 zenon_H92 zenon_H15d zenon_Hb9 zenon_H10e zenon_H16e zenon_Hf3 zenon_Hfb zenon_H203 zenon_H44 zenon_Hb7 zenon_H18f zenon_H1b8 zenon_H106 zenon_H71 zenon_H259 zenon_H1df zenon_H125 zenon_H12d zenon_H223 zenon_H101 zenon_H16a zenon_H216 zenon_Had zenon_H222 zenon_H22e zenon_Hf6 zenon_H210 zenon_H1b0 zenon_H5c zenon_H61 zenon_Hb8 zenon_H23c zenon_H228 zenon_H13f zenon_H245 zenon_H197 zenon_H113 zenon_H16c zenon_Hcb zenon_H30 zenon_H117 zenon_H90 zenon_H11b zenon_H233. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H51 | zenon_intro zenon_H1b1 ]. % 11.40/11.60 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H25. zenon_intro zenon_H52. % 11.40/11.60 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H1f7. zenon_intro zenon_H1f6. % 11.40/11.60 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H1f9. zenon_intro zenon_H1f8. % 11.40/11.60 apply (zenon_and_s _ _ zenon_H1f8). zenon_intro zenon_H1fb. zenon_intro zenon_H1fa. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H207 | zenon_intro zenon_H6d ]. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_Hcf | zenon_intro zenon_Hb5 ]. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H9e | zenon_intro zenon_H15e ]. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.40/11.60 apply (zenon_L129_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.40/11.60 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ]. % 11.40/11.60 apply (zenon_L129_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ]. % 11.40/11.60 apply (zenon_L519_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ]. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.40/11.60 apply (zenon_L3_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.40/11.60 apply (zenon_L211_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.40/11.60 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ]. % 11.40/11.60 apply (zenon_L3_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ]. % 11.40/11.60 apply (zenon_L637_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ]. % 11.40/11.60 apply (zenon_L108_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.40/11.60 exact (zenon_H38 zenon_H33). % 11.40/11.60 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.40/11.60 apply (zenon_L130_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.40/11.60 apply (zenon_L13_); trivial. % 11.40/11.60 apply (zenon_L733_); trivial. % 11.40/11.60 apply (zenon_L737_); trivial. % 11.40/11.60 apply (zenon_L741_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.40/11.60 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ]. % 11.40/11.60 apply (zenon_L129_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ]. % 11.40/11.60 apply (zenon_L519_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ]. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.40/11.60 apply (zenon_L3_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.40/11.60 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ]. % 11.40/11.60 apply (zenon_L3_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ]. % 11.40/11.60 apply (zenon_L742_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ]. % 11.40/11.60 apply (zenon_L579_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.40/11.60 exact (zenon_H38 zenon_H33). % 11.40/11.60 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.40/11.60 apply (zenon_L65_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.40/11.60 apply (zenon_L9_); trivial. % 11.40/11.60 apply (zenon_L733_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.40/11.60 apply (zenon_L6_); trivial. % 11.40/11.60 apply (zenon_L750_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.40/11.60 apply (zenon_L3_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.40/11.60 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ]. % 11.40/11.60 apply (zenon_L3_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ]. % 11.40/11.60 apply (zenon_L742_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ]. % 11.40/11.60 apply (zenon_L754_); trivial. % 11.40/11.60 apply (zenon_L41_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.40/11.60 apply (zenon_L6_); trivial. % 11.40/11.60 apply (zenon_L753_); trivial. % 11.40/11.60 apply (zenon_L127_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.40/11.60 apply (zenon_L129_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.40/11.60 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ]. % 11.40/11.60 apply (zenon_L129_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ]. % 11.40/11.60 apply (zenon_L519_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ]. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.40/11.60 apply (zenon_L3_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.40/11.60 apply (zenon_L211_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.40/11.60 apply (zenon_L755_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ]. % 11.40/11.60 apply (zenon_L3_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ]. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.40/11.60 exact (zenon_H38 zenon_H33). % 11.40/11.60 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.40/11.60 apply (zenon_L130_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ]. % 11.40/11.60 apply (zenon_L298_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ]. % 11.40/11.60 exact (zenon_H207 zenon_H10c). % 11.40/11.60 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ]. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H1e | zenon_intro zenon_H204 ]. % 11.40/11.60 apply (zenon_L2_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H10c | zenon_intro zenon_H205 ]. % 11.40/11.60 exact (zenon_H207 zenon_H10c). % 11.40/11.60 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_Hcc | zenon_intro zenon_H120 ]. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H75 | zenon_intro zenon_H8e ]. % 11.40/11.60 apply (zenon_L31_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H78 | zenon_intro zenon_H8f ]. % 11.40/11.60 exact (zenon_H79 zenon_H78). % 11.40/11.60 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H8b ]. % 11.40/11.60 apply (zenon_L69_); trivial. % 11.40/11.60 apply (zenon_L757_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H2c | zenon_intro zenon_H109 ]. % 11.40/11.60 apply (zenon_L211_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H6c | zenon_intro zenon_H10a ]. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H75 | zenon_intro zenon_H8e ]. % 11.40/11.60 apply (zenon_L346_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H78 | zenon_intro zenon_H8f ]. % 11.40/11.60 exact (zenon_H79 zenon_H78). % 11.40/11.60 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H8b ]. % 11.40/11.60 apply (zenon_L119_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H6e | zenon_intro zenon_Hfc ]. % 11.40/11.60 apply (zenon_L29_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hfd ]. % 11.40/11.60 apply (zenon_L757_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hce | zenon_intro zenon_H96 ]. % 11.40/11.60 exact (zenon_Hcf zenon_Hce). % 11.40/11.60 apply (zenon_L735_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Ha4 ]. % 11.40/11.60 apply (zenon_L747_); trivial. % 11.40/11.60 apply (zenon_L98_); trivial. % 11.40/11.60 apply (zenon_L758_); trivial. % 11.40/11.60 apply (zenon_L11_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ]. % 11.40/11.60 apply (zenon_L108_); trivial. % 11.40/11.60 apply (zenon_L749_); trivial. % 11.40/11.60 apply (zenon_L196_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.40/11.60 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ]. % 11.40/11.60 apply (zenon_L129_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ]. % 11.40/11.60 apply (zenon_L519_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ]. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.40/11.60 apply (zenon_L3_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.40/11.60 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ]. % 11.40/11.60 apply (zenon_L3_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ]. % 11.40/11.60 apply (zenon_L742_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ]. % 11.40/11.60 apply (zenon_L739_); trivial. % 11.40/11.60 apply (zenon_L302_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.40/11.60 apply (zenon_L6_); trivial. % 11.40/11.60 apply (zenon_L750_); trivial. % 11.40/11.60 apply (zenon_L196_); trivial. % 11.40/11.60 apply (zenon_L127_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H9e | zenon_intro zenon_H15e ]. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.40/11.60 apply (zenon_L129_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.40/11.60 apply (zenon_L740_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.40/11.60 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ]. % 11.40/11.60 apply (zenon_L129_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ]. % 11.40/11.60 apply (zenon_L519_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ]. % 11.40/11.60 apply (zenon_L108_); trivial. % 11.40/11.60 apply (zenon_L754_); trivial. % 11.40/11.60 apply (zenon_L127_); trivial. % 11.40/11.60 apply (zenon_L739_); trivial. % 11.40/11.60 apply (zenon_L519_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H53 | zenon_intro zenon_H1b2 ]. % 11.40/11.60 apply (zenon_L759_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H132 | zenon_intro zenon_H15f ]. % 11.40/11.60 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H5a. zenon_intro zenon_H133. % 11.40/11.60 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H135. zenon_intro zenon_H134. % 11.40/11.60 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H137. zenon_intro zenon_H136. % 11.40/11.60 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_H139. zenon_intro zenon_H138. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H2b | zenon_intro zenon_Hd0 ]. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H68 | zenon_intro zenon_H88 ]. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hec ]. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H25 | zenon_intro zenon_H190 ]. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.40/11.60 apply (zenon_L129_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.40/11.60 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ]. % 11.40/11.60 apply (zenon_L129_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ]. % 11.40/11.60 apply (zenon_L760_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ]. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.40/11.60 exact (zenon_H2b zenon_H26). % 11.40/11.60 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.40/11.60 apply (zenon_L211_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.40/11.60 apply (zenon_L23_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ]. % 11.40/11.60 exact (zenon_H2b zenon_H26). % 11.40/11.60 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ]. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.40/11.60 exact (zenon_H38 zenon_H33). % 11.40/11.60 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.40/11.60 apply (zenon_L763_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ]. % 11.40/11.60 exact (zenon_H38 zenon_H33). % 11.40/11.60 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ]. % 11.40/11.60 apply (zenon_L31_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ]. % 11.40/11.60 apply (zenon_L764_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ]. % 11.40/11.60 apply (zenon_L326_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ]. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H75 | zenon_intro zenon_H8e ]. % 11.40/11.60 apply (zenon_L31_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H78 | zenon_intro zenon_H8f ]. % 11.40/11.60 exact (zenon_H79 zenon_H78). % 11.40/11.60 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H8b ]. % 11.40/11.60 apply (zenon_L291_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H2e | zenon_intro zenon_H22f ]. % 11.40/11.60 apply (zenon_L778_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H88 | zenon_intro zenon_H230 ]. % 11.40/11.60 apply (zenon_L391_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H11f | zenon_intro zenon_H1d9 ]. % 11.40/11.60 apply (zenon_L640_); trivial. % 11.40/11.60 apply (zenon_L779_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ]. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H75 | zenon_intro zenon_H8e ]. % 11.40/11.60 apply (zenon_L734_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H78 | zenon_intro zenon_H8f ]. % 11.40/11.60 exact (zenon_H79 zenon_H78). % 11.40/11.60 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H8b ]. % 11.40/11.60 apply (zenon_L119_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H2e | zenon_intro zenon_H22f ]. % 11.40/11.60 apply (zenon_L770_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H88 | zenon_intro zenon_H230 ]. % 11.40/11.60 apply (zenon_L92_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H11f | zenon_intro zenon_H1d9 ]. % 11.40/11.60 apply (zenon_L505_); trivial. % 11.40/11.60 apply (zenon_L779_); trivial. % 11.40/11.60 apply (zenon_L758_); trivial. % 11.40/11.60 apply (zenon_L11_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ]. % 11.40/11.60 apply (zenon_L50_); trivial. % 11.40/11.60 apply (zenon_L769_); trivial. % 11.40/11.60 apply (zenon_L773_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.40/11.60 apply (zenon_L778_); trivial. % 11.40/11.60 apply (zenon_L127_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H1e | zenon_intro zenon_H191 ]. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H25 | zenon_intro zenon_H12e ]. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.40/11.60 apply (zenon_L129_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.40/11.60 apply (zenon_L2_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.40/11.60 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ]. % 11.40/11.60 apply (zenon_L129_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ]. % 11.40/11.60 apply (zenon_L519_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ]. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.40/11.60 exact (zenon_H2b zenon_H26). % 11.40/11.60 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.40/11.60 exact (zenon_H38 zenon_H33). % 11.40/11.60 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.40/11.60 apply (zenon_L8_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.40/11.60 apply (zenon_L9_); trivial. % 11.40/11.60 apply (zenon_L782_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.40/11.60 apply (zenon_L6_); trivial. % 11.40/11.60 apply (zenon_L770_); trivial. % 11.40/11.60 apply (zenon_L777_); trivial. % 11.40/11.60 apply (zenon_L127_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H57 | zenon_intro zenon_H12f ]. % 11.40/11.60 apply (zenon_L787_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H6e | zenon_intro zenon_Hc3 ]. % 11.40/11.60 apply (zenon_L785_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.40/11.60 exact (zenon_H2b zenon_H26). % 11.40/11.60 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.40/11.60 apply (zenon_L791_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.40/11.60 apply (zenon_L23_); trivial. % 11.40/11.60 apply (zenon_L786_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.40/11.60 apply (zenon_L2_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.40/11.60 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ]. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.40/11.60 exact (zenon_H2b zenon_H26). % 11.40/11.60 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.40/11.60 apply (zenon_L791_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.40/11.60 apply (zenon_L23_); trivial. % 11.40/11.60 apply (zenon_L627_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ]. % 11.40/11.60 apply (zenon_L623_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ]. % 11.40/11.60 apply (zenon_L793_); trivial. % 11.40/11.60 apply (zenon_L794_); trivial. % 11.40/11.60 apply (zenon_L127_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H72 ]. % 11.40/11.60 apply (zenon_L810_); trivial. % 11.40/11.60 apply (zenon_L811_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H25 | zenon_intro zenon_H190 ]. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.40/11.60 apply (zenon_L129_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.40/11.60 apply (zenon_L814_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.40/11.60 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ]. % 11.40/11.60 apply (zenon_L129_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ]. % 11.40/11.60 apply (zenon_L819_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ]. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.40/11.60 exact (zenon_H38 zenon_H33). % 11.40/11.60 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.40/11.60 apply (zenon_L817_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.40/11.60 apply (zenon_L9_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H1f | zenon_intro zenon_H107 ]. % 11.40/11.60 apply (zenon_L814_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H56 | zenon_intro zenon_H108 ]. % 11.40/11.60 apply (zenon_L247_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hc5 | zenon_intro zenon_He6 ]. % 11.40/11.60 apply (zenon_L53_); trivial. % 11.40/11.60 apply (zenon_L766_); trivial. % 11.40/11.60 apply (zenon_L820_); trivial. % 11.40/11.60 apply (zenon_L127_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H1e | zenon_intro zenon_H191 ]. % 11.40/11.60 apply (zenon_L826_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H72 ]. % 11.40/11.60 apply (zenon_L827_); trivial. % 11.40/11.60 apply (zenon_L828_); trivial. % 11.40/11.60 apply (zenon_L391_); trivial. % 11.40/11.60 apply (zenon_L829_); trivial. % 11.40/11.60 apply (zenon_L456_); trivial. % 11.40/11.60 (* end of lemma zenon_L830_ *) % 11.40/11.60 assert (zenon_L831_ : (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e0)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e3)) -> False). % 11.40/11.60 do 0 intro. intros zenon_H194 zenon_H9d zenon_He3 zenon_H90 zenon_H117 zenon_H26a zenon_H16e zenon_H40. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H96 | zenon_intro zenon_H195 ]. % 11.40/11.60 apply (zenon_L71_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H118 | zenon_intro zenon_H196 ]. % 11.40/11.60 apply (zenon_L96_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H18a | zenon_intro zenon_H164 ]. % 11.40/11.60 exact (zenon_H26a zenon_H18a). % 11.40/11.60 apply (zenon_L667_); trivial. % 11.40/11.60 (* end of lemma zenon_L831_ *) % 11.40/11.60 assert (zenon_L832_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e1)) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e2)) -> (~((e2) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e2)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e3)) -> False). % 11.40/11.60 do 0 intro. intros zenon_Hb9 zenon_H34 zenon_H2e zenon_H3c zenon_H2c zenon_H41 zenon_H38 zenon_H44 zenon_H27 zenon_H233 zenon_H141 zenon_H62 zenon_Hf0 zenon_H194 zenon_He3 zenon_H90 zenon_H117 zenon_H26a zenon_H16e zenon_H40. % 11.40/11.60 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H72 | zenon_intro zenon_Hbe ]. % 11.40/11.60 apply (zenon_L451_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H7a | zenon_intro zenon_Hbf ]. % 11.40/11.60 apply (zenon_L103_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H96 | zenon_intro zenon_H9d ]. % 11.40/11.60 apply (zenon_L638_); trivial. % 11.40/11.60 apply (zenon_L831_); trivial. % 11.40/11.60 (* end of lemma zenon_L832_ *) % 11.40/11.60 assert (zenon_L833_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((op (e1) (e0)) = (e3)) -> (~((op (e1) (e1)) = (e0))) -> ((op (e0) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e2)) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e1)) -> (~((e0) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e1))) -> False). % 11.40/11.60 do 0 intro. intros zenon_H113 zenon_H75 zenon_H207 zenon_H40 zenon_H16e zenon_H26a zenon_H117 zenon_He3 zenon_H194 zenon_Hf0 zenon_H141 zenon_H233 zenon_H27 zenon_H44 zenon_H38 zenon_H41 zenon_H2c zenon_H3c zenon_H2e zenon_H34 zenon_Hb9 zenon_H10b zenon_H8d zenon_H79 zenon_H61 zenon_H69 zenon_H90 zenon_H20. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ]. % 11.40/11.60 apply (zenon_L118_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ]. % 11.40/11.60 exact (zenon_H207 zenon_H10c). % 11.40/11.60 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ]. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H58 | zenon_intro zenon_H6a ]. % 11.40/11.60 apply (zenon_L635_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6c | zenon_intro zenon_H6b ]. % 11.40/11.60 apply (zenon_L353_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H5b | zenon_intro zenon_H62 ]. % 11.40/11.60 apply (zenon_L347_); trivial. % 11.40/11.60 apply (zenon_L832_); trivial. % 11.40/11.60 apply (zenon_L38_); trivial. % 11.40/11.60 (* end of lemma zenon_L833_ *) % 11.40/11.60 assert (zenon_L834_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e0) = (e1))) -> ((op (e1) (e3)) = (e1)) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e1)) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e2)) -> (~((e1) = (e3))) -> ((op (e3) (e0)) = (e1)) -> False). % 11.40/11.60 do 0 intro. intros zenon_H161 zenon_H20 zenon_H90 zenon_H69 zenon_H61 zenon_H79 zenon_H8d zenon_H10b zenon_Hb9 zenon_H34 zenon_H2e zenon_H2c zenon_H38 zenon_H44 zenon_H27 zenon_H233 zenon_H141 zenon_Hf0 zenon_H194 zenon_He3 zenon_H117 zenon_H26a zenon_H16e zenon_H207 zenon_H113 zenon_H41 zenon_Hb5 zenon_H3c zenon_H99. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.40/11.60 exact (zenon_H38 zenon_H33). % 11.40/11.60 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.40/11.60 apply (zenon_L65_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.40/11.60 apply (zenon_L9_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ]. % 11.40/11.60 exact (zenon_H38 zenon_H33). % 11.40/11.60 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ]. % 11.40/11.60 apply (zenon_L833_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ]. % 11.40/11.60 apply (zenon_L233_); trivial. % 11.40/11.60 apply (zenon_L196_); trivial. % 11.40/11.60 (* end of lemma zenon_L834_ *) % 11.40/11.60 assert (zenon_L835_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (~((e1) = (e2))) -> ((op (e0) (e2)) = (e1)) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e0)) = (e0)) -> (~((e0) = (e1))) -> ((op (e1) (e3)) = (e1)) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((e0) = (e2))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e1)) = (e0))) -> (~((e0) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e2)) -> (~((e1) = (e3))) -> False). % 11.40/11.60 do 0 intro. intros zenon_Hb7 zenon_H23c zenon_H49 zenon_H1aa zenon_H16e zenon_H26a zenon_H117 zenon_He3 zenon_H194 zenon_Hf0 zenon_H141 zenon_H233 zenon_H44 zenon_H38 zenon_Hb9 zenon_H10b zenon_H8d zenon_H79 zenon_H30 zenon_H2e zenon_H161 zenon_H25 zenon_H20 zenon_H90 zenon_H69 zenon_H16c zenon_H27 zenon_H61 zenon_H207 zenon_H34 zenon_H113 zenon_H41 zenon_Hb5 zenon_H3c. % 11.40/11.60 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ]. % 11.40/11.60 apply (zenon_L129_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ]. % 11.40/11.60 apply (zenon_L519_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ]. % 11.40/11.60 apply (zenon_L108_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.40/11.60 apply (zenon_L208_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.40/11.60 apply (zenon_L834_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.40/11.60 apply (zenon_L6_); trivial. % 11.40/11.60 apply (zenon_L752_); trivial. % 11.40/11.60 (* end of lemma zenon_L835_ *) % 11.40/11.60 assert (zenon_L836_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e2)) -> (~((e2) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e1) (e1)) = (e0))) -> (~((e0) = (e2))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e0) = (e1))) -> ((op (e0) (e0)) = (e0)) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> False). % 11.40/11.60 do 0 intro. intros zenon_H4c zenon_He5 zenon_H15d zenon_Hc4 zenon_H106 zenon_H3c zenon_Hb5 zenon_H41 zenon_H113 zenon_H34 zenon_H207 zenon_H27 zenon_H16c zenon_H69 zenon_H20 zenon_H25 zenon_H161 zenon_H30 zenon_H79 zenon_H8d zenon_H10b zenon_Hb9 zenon_H38 zenon_H44 zenon_H233 zenon_H141 zenon_Hf0 zenon_H194 zenon_He3 zenon_H117 zenon_H26a zenon_H16e zenon_H1aa zenon_H49 zenon_H23c zenon_Hb7 zenon_H61 zenon_H90. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.40/11.60 apply (zenon_L129_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.40/11.60 apply (zenon_L740_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.40/11.60 apply (zenon_L835_); trivial. % 11.40/11.60 apply (zenon_L127_); trivial. % 11.40/11.60 (* end of lemma zenon_L836_ *) % 11.40/11.60 assert (zenon_L837_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e1) (e1)) = (e3))) -> (~((e2) = (e3))) -> ((op (e2) (e1)) = (e2)) -> (~((e0) = (e3))) -> ((op (e3) (e1)) = (e0)) -> False). % 11.40/11.60 do 0 intro. intros zenon_H148 zenon_H3c zenon_H1f zenon_H79 zenon_H41 zenon_Hc7 zenon_H34 zenon_H120. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H39 | zenon_intro zenon_H149 ]. % 11.40/11.60 apply (zenon_L130_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H78 | zenon_intro zenon_H14a ]. % 11.40/11.60 exact (zenon_H79 zenon_H78). % 11.40/11.60 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H145 | zenon_intro zenon_H147 ]. % 11.40/11.60 apply (zenon_L131_); trivial. % 11.40/11.60 apply (zenon_L670_); trivial. % 11.40/11.60 (* end of lemma zenon_L837_ *) % 11.40/11.60 assert (zenon_L838_ : (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e0)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e3)) -> False). % 11.40/11.60 do 0 intro. intros zenon_H194 zenon_H9d zenon_He3 zenon_H90 zenon_H26a zenon_H117 zenon_H8b. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H96 | zenon_intro zenon_H195 ]. % 11.40/11.60 apply (zenon_L71_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H118 | zenon_intro zenon_H196 ]. % 11.40/11.60 apply (zenon_L96_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H18a | zenon_intro zenon_H164 ]. % 11.40/11.60 exact (zenon_H26a zenon_H18a). % 11.40/11.60 apply (zenon_L483_); trivial. % 11.40/11.60 (* end of lemma zenon_L838_ *) % 11.40/11.60 assert (zenon_L839_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e1) (e2)) = (e0)) -> (~((e0) = (e1))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e1) (e0)) = (e2)) -> ((op (e2) (e1)) = (e0)) -> ((op (e1) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e3)) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e3)) = (e2))) -> False). % 11.40/11.60 do 0 intro. intros zenon_H22e zenon_H3c zenon_He0 zenon_H20 zenon_H6f zenon_Hc0 zenon_H1a2 zenon_H16c zenon_H58 zenon_Hcc zenon_H8b zenon_H117 zenon_H90 zenon_He3 zenon_H194 zenon_Hf0 zenon_H141 zenon_H3f zenon_H13a zenon_H233 zenon_H245 zenon_H228 zenon_H125 zenon_H5c zenon_H13f zenon_H3b zenon_H27 zenon_Hb9 zenon_H26a. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H2e | zenon_intro zenon_H22f ]. % 11.40/11.60 apply (zenon_L9_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H88 | zenon_intro zenon_H230 ]. % 11.40/11.60 apply (zenon_L92_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H11f | zenon_intro zenon_H1d9 ]. % 11.40/11.60 apply (zenon_L640_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H1a3 ]. % 11.40/11.60 apply (zenon_L343_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H1a4 ]. % 11.40/11.60 apply (zenon_L164_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H5a | zenon_intro zenon_H18a ]. % 11.40/11.60 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H72 | zenon_intro zenon_Hbe ]. % 11.40/11.60 apply (zenon_L180_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H7a | zenon_intro zenon_Hbf ]. % 11.40/11.60 apply (zenon_L513_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H96 | zenon_intro zenon_H9d ]. % 11.40/11.60 apply (zenon_L735_); trivial. % 11.40/11.60 apply (zenon_L838_); trivial. % 11.40/11.60 exact (zenon_H26a zenon_H18a). % 11.40/11.60 (* end of lemma zenon_L839_ *) % 11.40/11.60 assert (zenon_L840_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e3)) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((op (e0) (e1)) = (e1)) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e0)) = (e0)) -> (~((e0) = (e1))) -> ((op (e1) (e3)) = (e1)) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e1)) = (e0))) -> (~((e0) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e1)) -> (~((e2) = (e3))) -> False). % 11.40/11.60 do 0 intro. intros zenon_H49 zenon_Hb8 zenon_H187 zenon_Hfa zenon_Hcf zenon_Hf0 zenon_He3 zenon_H141 zenon_H13a zenon_H233 zenon_H79 zenon_H1aa zenon_H26a zenon_Hb9 zenon_H5c zenon_H125 zenon_H228 zenon_H245 zenon_H194 zenon_H117 zenon_H16c zenon_H1a2 zenon_Hc0 zenon_H22e zenon_H1f zenon_H106 zenon_H203 zenon_H8d zenon_H212 zenon_H15e zenon_H13f zenon_H38 zenon_H44 zenon_H30 zenon_H161 zenon_H25 zenon_H20 zenon_H90 zenon_H69 zenon_H27 zenon_H61 zenon_H207 zenon_H34 zenon_H113 zenon_H3c zenon_H6f zenon_H41. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.40/11.60 apply (zenon_L3_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.40/11.60 apply (zenon_L211_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.40/11.60 apply (zenon_L755_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ]. % 11.40/11.60 apply (zenon_L3_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ]. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.40/11.60 exact (zenon_H38 zenon_H33). % 11.40/11.60 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.40/11.60 apply (zenon_L130_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ]. % 11.40/11.60 apply (zenon_L298_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ]. % 11.40/11.60 exact (zenon_H207 zenon_H10c). % 11.40/11.60 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ]. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H1e | zenon_intro zenon_H204 ]. % 11.40/11.60 apply (zenon_L2_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H10c | zenon_intro zenon_H205 ]. % 11.40/11.60 exact (zenon_H207 zenon_H10c). % 11.40/11.60 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_Hcc | zenon_intro zenon_H120 ]. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H75 | zenon_intro zenon_H8e ]. % 11.40/11.60 apply (zenon_L299_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H78 | zenon_intro zenon_H8f ]. % 11.40/11.60 exact (zenon_H79 zenon_H78). % 11.40/11.60 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H8b ]. % 11.40/11.60 apply (zenon_L119_); trivial. % 11.40/11.60 apply (zenon_L839_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H2c | zenon_intro zenon_H109 ]. % 11.40/11.60 apply (zenon_L211_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H6c | zenon_intro zenon_H10a ]. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H75 | zenon_intro zenon_H8e ]. % 11.40/11.60 apply (zenon_L346_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H78 | zenon_intro zenon_H8f ]. % 11.40/11.60 exact (zenon_H79 zenon_H78). % 11.40/11.60 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H8b ]. % 11.40/11.60 apply (zenon_L69_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H6e | zenon_intro zenon_Hfc ]. % 11.40/11.60 apply (zenon_L624_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hfd ]. % 11.40/11.60 apply (zenon_L839_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hce | zenon_intro zenon_H96 ]. % 11.40/11.60 exact (zenon_Hcf zenon_Hce). % 11.40/11.60 apply (zenon_L735_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Ha4 ]. % 11.40/11.60 apply (zenon_L747_); trivial. % 11.40/11.60 apply (zenon_L98_); trivial. % 11.40/11.60 apply (zenon_L758_); trivial. % 11.40/11.60 apply (zenon_L11_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ]. % 11.40/11.60 apply (zenon_L108_); trivial. % 11.40/11.60 apply (zenon_L749_); trivial. % 11.40/11.60 (* end of lemma zenon_L840_ *) % 11.40/11.60 assert (zenon_L841_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e0)) = (e0)) -> (~((e0) = (e1))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e1)) = (e0))) -> (~((e0) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e1) = (e3))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((op (e2) (e1)) = (e0)) -> (~((e0) = (e2))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((e2) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e3)) -> ((op (e3) (e0)) = (e3)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (e2))) -> False). % 11.40/11.60 do 0 intro. intros zenon_H1a2 zenon_H90 zenon_H61 zenon_Hb7 zenon_H23c zenon_H49 zenon_H1aa zenon_H16e zenon_He3 zenon_H194 zenon_Hf0 zenon_H141 zenon_H233 zenon_H44 zenon_H38 zenon_Hb9 zenon_H10b zenon_H8d zenon_H79 zenon_H30 zenon_H161 zenon_H25 zenon_H20 zenon_H69 zenon_H16c zenon_H207 zenon_H34 zenon_H113 zenon_H3c zenon_H106 zenon_Hc4 zenon_H15d zenon_He5 zenon_H4c zenon_Hcc zenon_H27 zenon_H8b zenon_H117 zenon_H41 zenon_Hcb zenon_H39 zenon_H15e zenon_H226 zenon_H167 zenon_H26a. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H1a3 ]. % 11.40/11.60 apply (zenon_L836_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H1a4 ]. % 11.40/11.60 apply (zenon_L164_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H5a | zenon_intro zenon_H18a ]. % 11.40/11.60 apply (zenon_L744_); trivial. % 11.40/11.60 exact (zenon_H26a zenon_H18a). % 11.40/11.60 (* end of lemma zenon_L841_ *) % 11.40/11.60 assert (zenon_L842_ : (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((e0) = (e2))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e2) (e2)) = (e0))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (e2))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e1) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((op (e0) (e0)) = (e0)) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e3)) -> ((op (e0) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e2)) = (e1)) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e1))) -> False). % 11.40/11.60 do 0 intro. intros zenon_H187 zenon_H27 zenon_Hfa zenon_H6f zenon_Hcf zenon_Hf0 zenon_He3 zenon_H141 zenon_H3f zenon_H13a zenon_H233 zenon_H26a zenon_H41 zenon_H4c zenon_He5 zenon_H15d zenon_Hc4 zenon_H106 zenon_H3c zenon_H113 zenon_H34 zenon_H207 zenon_H16c zenon_H69 zenon_H25 zenon_H161 zenon_H30 zenon_H79 zenon_H8d zenon_H10b zenon_Hb9 zenon_H38 zenon_H44 zenon_H194 zenon_H16e zenon_H1aa zenon_H49 zenon_H23c zenon_Hb7 zenon_H61 zenon_H1a2 zenon_H167 zenon_H226 zenon_H15e zenon_H39 zenon_Hcb zenon_H117 zenon_H212 zenon_H1e2 zenon_H2e zenon_H203 zenon_H90 zenon_H20. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ]. % 11.40/11.60 apply (zenon_L298_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ]. % 11.40/11.60 exact (zenon_H207 zenon_H10c). % 11.40/11.60 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ]. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H1e | zenon_intro zenon_H204 ]. % 11.40/11.60 apply (zenon_L494_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H10c | zenon_intro zenon_H205 ]. % 11.40/11.60 exact (zenon_H207 zenon_H10c). % 11.40/11.60 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_Hcc | zenon_intro zenon_H120 ]. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H75 | zenon_intro zenon_H8e ]. % 11.40/11.60 apply (zenon_L299_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H78 | zenon_intro zenon_H8f ]. % 11.40/11.60 exact (zenon_H79 zenon_H78). % 11.40/11.60 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H8b ]. % 11.40/11.60 apply (zenon_L69_); trivial. % 11.40/11.60 apply (zenon_L841_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H2c | zenon_intro zenon_H109 ]. % 11.40/11.60 apply (zenon_L65_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H6c | zenon_intro zenon_H10a ]. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H75 | zenon_intro zenon_H8e ]. % 11.40/11.60 apply (zenon_L346_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H78 | zenon_intro zenon_H8f ]. % 11.40/11.60 exact (zenon_H79 zenon_H78). % 11.40/11.60 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H8b ]. % 11.40/11.60 apply (zenon_L69_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H6e | zenon_intro zenon_Hfc ]. % 11.40/11.60 apply (zenon_L29_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hfd ]. % 11.40/11.60 apply (zenon_L841_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hce | zenon_intro zenon_H96 ]. % 11.40/11.60 exact (zenon_Hcf zenon_Hce). % 11.40/11.60 apply (zenon_L746_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Ha4 ]. % 11.40/11.60 apply (zenon_L747_); trivial. % 11.40/11.60 apply (zenon_L98_); trivial. % 11.40/11.60 apply (zenon_L38_); trivial. % 11.40/11.60 (* end of lemma zenon_L842_ *) % 11.40/11.60 assert (zenon_L843_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e1) = (e3))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e0)) = (e0)) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((e2) = (e3))) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e0) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e3)) -> False). % 11.40/11.60 do 0 intro. intros zenon_H22e zenon_H3c zenon_H69 zenon_H68 zenon_H61 zenon_H25 zenon_H34 zenon_H161 zenon_H30 zenon_H44 zenon_Hcb zenon_H226 zenon_H167 zenon_H15a zenon_H1f3 zenon_H79 zenon_H212 zenon_H8d zenon_H157 zenon_H14f zenon_H105 zenon_H2b zenon_Hb8 zenon_H6f zenon_Hc0 zenon_Hb9 zenon_Hb1 zenon_H192 zenon_H41 zenon_H27 zenon_H197 zenon_H3b zenon_H13f zenon_H5a zenon_H5c zenon_H125 zenon_H228 zenon_H245 zenon_H233 zenon_H13a zenon_H3f zenon_H141 zenon_Hf0 zenon_H194 zenon_He3 zenon_H90 zenon_H26a zenon_H117 zenon_H8b. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H2e | zenon_intro zenon_H22f ]. % 11.40/11.60 apply (zenon_L770_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H88 | zenon_intro zenon_H230 ]. % 11.40/11.60 apply (zenon_L391_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H11f | zenon_intro zenon_H1d9 ]. % 11.40/11.60 apply (zenon_L640_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H72 | zenon_intro zenon_Hbe ]. % 11.40/11.60 apply (zenon_L511_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H7a | zenon_intro zenon_Hbf ]. % 11.40/11.60 apply (zenon_L513_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H96 | zenon_intro zenon_H9d ]. % 11.40/11.60 apply (zenon_L735_); trivial. % 11.40/11.60 apply (zenon_L838_); trivial. % 11.40/11.60 (* end of lemma zenon_L843_ *) % 11.40/11.60 assert (zenon_L844_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e1)) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e2)) -> (~((e2) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e3)) -> False). % 11.40/11.60 do 0 intro. intros zenon_H69 zenon_H61 zenon_H15a zenon_He6 zenon_H1f3 zenon_H79 zenon_H8d zenon_H68 zenon_H5c zenon_H5a zenon_Hb9 zenon_H34 zenon_H2e zenon_H3c zenon_H2c zenon_H41 zenon_H38 zenon_H44 zenon_H27 zenon_H233 zenon_H141 zenon_Hf0 zenon_H194 zenon_He3 zenon_H90 zenon_H117 zenon_H26a zenon_H16e zenon_H40. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H58 | zenon_intro zenon_H6a ]. % 11.40/11.60 apply (zenon_L765_); trivial. % 11.40/11.60 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6c | zenon_intro zenon_H6b ]. % 11.40/11.60 exact (zenon_H68 zenon_H6c). % 11.40/11.60 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H5b | zenon_intro zenon_H62 ]. % 11.40/11.60 apply (zenon_L21_); trivial. % 11.40/11.60 apply (zenon_L832_); trivial. % 11.40/11.60 (* end of lemma zenon_L844_ *) % 11.40/11.60 assert (zenon_L845_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e1)) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e2)) -> (~((e2) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e3)) -> False). % 11.40/11.61 do 0 intro. intros zenon_H105 zenon_H30 zenon_H14f zenon_H6f zenon_Hc4 zenon_H69 zenon_H61 zenon_H15a zenon_H1f3 zenon_H79 zenon_H8d zenon_H68 zenon_H5c zenon_H5a zenon_Hb9 zenon_H34 zenon_H2e zenon_H3c zenon_H2c zenon_H41 zenon_H38 zenon_H44 zenon_H27 zenon_H233 zenon_H141 zenon_Hf0 zenon_H194 zenon_He3 zenon_H90 zenon_H117 zenon_H26a zenon_H16e zenon_H40. % 11.40/11.61 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H1f | zenon_intro zenon_H107 ]. % 11.40/11.61 apply (zenon_L211_); trivial. % 11.40/11.61 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H56 | zenon_intro zenon_H108 ]. % 11.40/11.61 apply (zenon_L247_); trivial. % 11.40/11.61 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hc5 | zenon_intro zenon_He6 ]. % 11.40/11.61 apply (zenon_L53_); trivial. % 11.40/11.61 apply (zenon_L844_); trivial. % 11.40/11.61 (* end of lemma zenon_L845_ *) % 11.40/11.61 assert (zenon_L846_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e3)) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e2))/\(((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0)))/\(((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e2)) -> False). % 11.40/11.61 do 0 intro. intros zenon_H106 zenon_H41 zenon_H39 zenon_H68 zenon_Hc8 zenon_H132 zenon_H16a zenon_H9a. % 11.40/11.61 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H2c | zenon_intro zenon_H109 ]. % 11.40/11.61 apply (zenon_L65_); trivial. % 11.40/11.61 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H6c | zenon_intro zenon_H10a ]. % 11.40/11.61 exact (zenon_H68 zenon_H6c). % 11.40/11.61 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Ha4 ]. % 11.40/11.61 apply (zenon_L801_); trivial. % 11.40/11.61 apply (zenon_L268_); trivial. % 11.40/11.61 (* end of lemma zenon_L846_ *) % 11.40/11.61 assert (zenon_L847_ : ((op (e3) (e0)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e2) (e2)) = (e2))/\(((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0)))/\(((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e1)) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e2)) -> (~((e2) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False). % 11.40/11.61 do 0 intro. intros zenon_H9a zenon_H16a zenon_H132 zenon_Hc8 zenon_H106 zenon_H105 zenon_H30 zenon_H14f zenon_H6f zenon_Hc4 zenon_H69 zenon_H61 zenon_H15a zenon_H1f3 zenon_H79 zenon_H8d zenon_H68 zenon_H5c zenon_H5a zenon_Hb9 zenon_H34 zenon_H2e zenon_H3c zenon_H2c zenon_H41 zenon_H38 zenon_H44 zenon_H27 zenon_H233 zenon_H141 zenon_Hf0 zenon_H194 zenon_He3 zenon_H90 zenon_H117 zenon_H26a zenon_H16e. % 11.40/11.61 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.40/11.61 exact (zenon_H38 zenon_H33). % 11.40/11.61 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.40/11.61 apply (zenon_L846_); trivial. % 11.40/11.61 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.40/11.61 apply (zenon_L9_); trivial. % 11.40/11.61 apply (zenon_L845_); trivial. % 11.40/11.61 (* end of lemma zenon_L847_ *) % 11.40/11.61 assert (zenon_L848_ : (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e0)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e2))) -> False). % 11.40/11.61 do 0 intro. intros zenon_H197 zenon_H13a zenon_H233 zenon_H141 zenon_H90 zenon_He3 zenon_H96 zenon_Hf0 zenon_H26a zenon_Hb1. % 11.40/11.61 apply (zenon_or_s _ _ zenon_H197); [ zenon_intro zenon_H3f | zenon_intro zenon_H198 ]. % 11.40/11.61 apply (zenon_L735_); trivial. % 11.40/11.61 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H62 | zenon_intro zenon_H199 ]. % 11.40/11.61 apply (zenon_L638_); trivial. % 11.40/11.61 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H18a | zenon_intro zenon_Hb4 ]. % 11.40/11.61 exact (zenon_H26a zenon_H18a). % 11.40/11.61 exact (zenon_Hb1 zenon_Hb4). % 11.40/11.61 (* end of lemma zenon_L848_ *) % 11.40/11.61 assert (zenon_L849_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((e1) = (e2))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (e3))) -> (~((e0) = (e1))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e2)) = (e2)) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e2))) -> False). % 11.40/11.61 do 0 intro. intros zenon_Hfa zenon_H117 zenon_H30 zenon_H15a zenon_H10b zenon_H157 zenon_H68 zenon_H79 zenon_H20 zenon_H11b zenon_H1e zenon_Hcb zenon_H5a zenon_H27 zenon_H197 zenon_H13a zenon_H233 zenon_H141 zenon_H90 zenon_He3 zenon_Hf0 zenon_H26a zenon_Hb1. % 11.40/11.61 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H6e | zenon_intro zenon_Hfc ]. % 11.40/11.61 apply (zenon_L785_); trivial. % 11.40/11.61 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hfd ]. % 11.40/11.61 apply (zenon_L55_); trivial. % 11.40/11.61 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hce | zenon_intro zenon_H96 ]. % 11.40/11.61 apply (zenon_L56_); trivial. % 11.40/11.61 apply (zenon_L848_); trivial. % 11.40/11.61 (* end of lemma zenon_L849_ *) % 11.40/11.61 assert (zenon_L850_ : ((((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))\/((((op (e1) (e1)) = (e1))/\(((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0)))/\(((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1)))/\(((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2)))/\((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3)))))))\/((((op (e2) (e2)) = (e2))/\(((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0)))/\(((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3)))))))\/(((op (e3) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3)))))))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e3)) = (e2))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((e0) = (e2))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((e1) = (e2))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> False). % 11.40/11.61 do 0 intro. intros zenon_H1b0 zenon_H187 zenon_H1aa zenon_H1a2 zenon_H18f zenon_H1b8 zenon_H1ca zenon_H1d8 zenon_H222 zenon_Had zenon_Hb0 zenon_Hf3 zenon_H10e zenon_H203 zenon_H113 zenon_H12d zenon_H10b zenon_Hfa zenon_H20 zenon_Hb7 zenon_Hc8 zenon_He5 zenon_H15d zenon_H106 zenon_H65 zenon_H38 zenon_H161 zenon_H14f zenon_H8d zenon_H226 zenon_H167 zenon_H157 zenon_H15a zenon_H79 zenon_H212 zenon_H1f3 zenon_H105 zenon_H3c zenon_H41 zenon_H34 zenon_Hb8 zenon_H44 zenon_H228 zenon_Hc0 zenon_Hb9 zenon_H26a zenon_H194 zenon_He3 zenon_H141 zenon_H13a zenon_Hf0 zenon_H125 zenon_H245 zenon_H27 zenon_H192 zenon_H197 zenon_H22e zenon_H13f zenon_H5c zenon_H61 zenon_H69 zenon_H49 zenon_H16c zenon_Hcb zenon_H30 zenon_H117 zenon_H90 zenon_H11b zenon_H16a zenon_H16e zenon_Hc4 zenon_H23c zenon_H4c zenon_H122 zenon_H148 zenon_H1cb zenon_H223 zenon_Hf6 zenon_H1f0 zenon_H101 zenon_H1e2 zenon_H1df zenon_H233. % 11.40/11.61 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H51 | zenon_intro zenon_H1b1 ]. % 11.40/11.61 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H25. zenon_intro zenon_H52. % 11.40/11.61 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H1f7. zenon_intro zenon_H1f6. % 11.40/11.61 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H1f9. zenon_intro zenon_H1f8. % 11.40/11.61 apply (zenon_and_s _ _ zenon_H1f8). zenon_intro zenon_H1fb. zenon_intro zenon_H1fa. % 11.40/11.61 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H207 | zenon_intro zenon_H6d ]. % 11.40/11.61 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_Hcf | zenon_intro zenon_Hb5 ]. % 11.40/11.61 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H9e | zenon_intro zenon_H15e ]. % 11.40/11.61 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.40/11.61 apply (zenon_L129_); trivial. % 11.40/11.61 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.40/11.61 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ]. % 11.40/11.61 apply (zenon_L129_); trivial. % 11.40/11.61 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ]. % 11.40/11.61 apply (zenon_L519_); trivial. % 11.40/11.61 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ]. % 11.40/11.61 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.40/11.61 apply (zenon_L3_); trivial. % 11.40/11.61 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.40/11.61 apply (zenon_L211_); trivial. % 11.40/11.61 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.40/11.61 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ]. % 11.40/11.61 apply (zenon_L3_); trivial. % 11.40/11.61 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ]. % 11.40/11.61 apply (zenon_L637_); trivial. % 11.40/11.61 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ]. % 11.40/11.61 apply (zenon_L836_); trivial. % 11.40/11.61 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ]. % 11.40/11.61 exact (zenon_H38 zenon_H33). % 11.40/11.61 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ]. % 11.40/11.61 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ]. % 11.40/11.61 apply (zenon_L118_); trivial. % 11.40/11.61 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ]. % 11.40/11.61 exact (zenon_H207 zenon_H10c). % 11.40/11.61 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ]. % 11.40/11.61 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H1e | zenon_intro zenon_H204 ]. % 11.40/11.61 apply (zenon_L2_); trivial. % 11.40/11.61 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H10c | zenon_intro zenon_H205 ]. % 11.40/11.61 exact (zenon_H207 zenon_H10c). % 11.40/11.61 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_Hcc | zenon_intro zenon_H120 ]. % 11.40/11.61 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H2c | zenon_intro zenon_H109 ]. % 11.40/11.61 apply (zenon_L211_); trivial. % 11.40/11.61 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H6c | zenon_intro zenon_H10a ]. % 11.40/11.61 apply (zenon_L346_); trivial. % 11.40/11.61 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Ha4 ]. % 11.40/11.61 apply (zenon_L164_); trivial. % 11.40/11.61 apply (zenon_L268_); trivial. % 11.40/11.61 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H2c | zenon_intro zenon_H109 ]. % 11.40/11.61 apply (zenon_L211_); trivial. % 11.40/11.61 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H6c | zenon_intro zenon_H10a ]. % 11.40/11.61 apply (zenon_L346_); trivial. % 11.40/11.61 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Ha4 ]. % 11.40/11.61 apply (zenon_L837_); trivial. % 11.40/11.61 apply (zenon_L268_); trivial. % 11.40/11.61 apply (zenon_L38_); trivial. % 11.40/11.61 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ]. % 11.40/11.61 apply (zenon_L136_); trivial. % 11.40/11.61 apply (zenon_L840_); trivial. % 11.40/11.61 apply (zenon_L737_); trivial. % 11.40/11.61 apply (zenon_L741_); trivial. % 11.40/11.61 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.40/11.61 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ]. % 11.40/11.61 apply (zenon_L129_); trivial. % 11.40/11.61 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ]. % 11.40/11.61 apply (zenon_L519_); trivial. % 11.40/11.61 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ]. % 11.40/11.61 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.40/11.61 apply (zenon_L3_); trivial. % 11.40/11.61 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.40/11.61 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ]. % 11.40/11.61 apply (zenon_L3_); trivial. % 11.40/11.61 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ]. % 11.40/11.61 apply (zenon_L742_); trivial. % 11.40/11.61 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ]. % 11.40/11.61 apply (zenon_L108_); trivial. % 11.40/11.61 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.40/11.61 exact (zenon_H38 zenon_H33). % 11.40/11.61 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.40/11.61 apply (zenon_L65_); trivial. % 11.40/11.61 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.40/11.61 apply (zenon_L9_); trivial. % 11.40/11.61 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ]. % 11.40/11.61 exact (zenon_H38 zenon_H33). % 11.40/11.61 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ]. % 11.40/11.61 apply (zenon_L833_); trivial. % 11.40/11.61 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ]. % 11.40/11.61 apply (zenon_L136_); trivial. % 11.40/11.61 apply (zenon_L302_); trivial. % 11.40/11.61 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.40/11.61 apply (zenon_L6_); trivial. % 11.40/11.61 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ]. % 11.40/11.61 apply (zenon_L3_); trivial. % 11.40/11.61 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ]. % 11.40/11.61 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.40/11.61 exact (zenon_H38 zenon_H33). % 11.40/11.61 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.40/11.61 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ]. % 11.40/11.61 exact (zenon_H38 zenon_H33). % 11.40/11.61 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ]. % 11.40/11.61 apply (zenon_L31_); trivial. % 11.40/11.61 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ]. % 11.40/11.61 apply (zenon_L136_); trivial. % 11.40/11.61 apply (zenon_L842_); trivial. % 11.40/11.61 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.40/11.61 apply (zenon_L9_); trivial. % 11.40/11.61 apply (zenon_L11_); trivial. % 11.40/11.61 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ]. % 11.40/11.61 apply (zenon_L835_); trivial. % 11.40/11.61 apply (zenon_L749_); trivial. % 11.40/11.61 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.40/11.61 apply (zenon_L3_); trivial. % 11.40/11.61 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.40/11.61 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ]. % 11.40/11.61 apply (zenon_L3_); trivial. % 11.40/11.61 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ]. % 11.40/11.61 apply (zenon_L742_); trivial. % 11.40/11.61 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ]. % 11.40/11.61 apply (zenon_L834_); trivial. % 11.40/11.61 apply (zenon_L41_); trivial. % 11.40/11.61 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.40/11.61 apply (zenon_L6_); trivial. % 11.40/11.61 apply (zenon_L753_); trivial. % 11.40/11.61 apply (zenon_L127_); trivial. % 11.40/11.61 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.40/11.61 apply (zenon_L129_); trivial. % 11.40/11.61 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.40/11.61 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ]. % 11.40/11.61 apply (zenon_L129_); trivial. % 11.40/11.61 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ]. % 11.40/11.61 apply (zenon_L519_); trivial. % 11.40/11.61 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ]. % 11.40/11.61 apply (zenon_L840_); trivial. % 11.40/11.61 apply (zenon_L196_); trivial. % 11.40/11.61 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.40/11.61 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ]. % 11.40/11.61 apply (zenon_L129_); trivial. % 11.40/11.61 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ]. % 11.40/11.61 apply (zenon_L519_); trivial. % 11.40/11.61 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ]. % 11.40/11.61 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.40/11.61 apply (zenon_L3_); trivial. % 11.40/11.61 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.40/11.61 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ]. % 11.40/11.61 apply (zenon_L3_); trivial. % 11.40/11.61 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ]. % 11.40/11.61 apply (zenon_L742_); trivial. % 11.40/11.61 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ]. % 11.40/11.61 apply (zenon_L835_); trivial. % 11.40/11.61 apply (zenon_L302_); trivial. % 11.40/11.61 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.40/11.61 apply (zenon_L6_); trivial. % 11.40/11.61 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ]. % 11.40/11.61 apply (zenon_L3_); trivial. % 11.40/11.61 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ]. % 11.40/11.61 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.40/11.61 exact (zenon_H38 zenon_H33). % 11.40/11.61 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.40/11.61 apply (zenon_L842_); trivial. % 11.40/11.61 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.40/11.61 apply (zenon_L9_); trivial. % 11.40/11.61 apply (zenon_L636_); trivial. % 11.40/11.61 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ]. % 11.40/11.61 apply (zenon_L835_); trivial. % 11.40/11.61 apply (zenon_L749_); trivial. % 11.40/11.61 apply (zenon_L196_); trivial. % 11.40/11.61 apply (zenon_L127_); trivial. % 11.40/11.61 apply (zenon_L836_); trivial. % 11.40/11.61 apply (zenon_L519_); trivial. % 11.40/11.61 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H53 | zenon_intro zenon_H1b2 ]. % 11.40/11.61 apply (zenon_L759_); trivial. % 11.40/11.61 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H132 | zenon_intro zenon_H15f ]. % 11.40/11.61 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H5a. zenon_intro zenon_H133. % 11.40/11.61 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H135. zenon_intro zenon_H134. % 11.40/11.61 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H137. zenon_intro zenon_H136. % 11.40/11.61 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_H139. zenon_intro zenon_H138. % 11.40/11.61 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H2b | zenon_intro zenon_Hd0 ]. % 11.40/11.61 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H68 | zenon_intro zenon_H88 ]. % 11.40/11.61 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hec ]. % 11.40/11.61 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H25 | zenon_intro zenon_H190 ]. % 11.40/11.61 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.40/11.61 apply (zenon_L129_); trivial. % 11.40/11.61 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.40/11.61 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ]. % 11.40/11.61 apply (zenon_L129_); trivial. % 11.40/11.61 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ]. % 11.40/11.61 apply (zenon_L760_); trivial. % 11.40/11.61 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ]. % 11.40/11.61 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.40/11.61 exact (zenon_H2b zenon_H26). % 11.40/11.61 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.40/11.61 apply (zenon_L211_); trivial. % 11.40/11.61 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.40/11.61 apply (zenon_L23_); trivial. % 11.40/11.61 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ]. % 11.40/11.61 exact (zenon_H2b zenon_H26). % 11.40/11.61 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ]. % 11.40/11.61 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.40/11.61 exact (zenon_H38 zenon_H33). % 11.40/11.61 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.40/11.61 apply (zenon_L763_); trivial. % 11.40/11.61 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.40/11.61 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H75 | zenon_intro zenon_H8e ]. % 11.40/11.61 apply (zenon_L768_); trivial. % 11.40/11.61 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H78 | zenon_intro zenon_H8f ]. % 11.40/11.61 exact (zenon_H79 zenon_H78). % 11.40/11.61 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H8b ]. % 11.40/11.61 apply (zenon_L119_); trivial. % 11.40/11.61 apply (zenon_L843_); trivial. % 11.40/11.61 apply (zenon_L11_); trivial. % 11.40/11.61 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ]. % 11.40/11.61 apply (zenon_L553_); trivial. % 11.40/11.61 apply (zenon_L769_); trivial. % 11.40/11.61 apply (zenon_L773_); trivial. % 11.40/11.61 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.40/11.61 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ]. % 11.40/11.61 apply (zenon_L129_); trivial. % 11.40/11.61 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ]. % 11.40/11.61 apply (zenon_L519_); trivial. % 11.40/11.61 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ]. % 11.40/11.61 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.40/11.61 exact (zenon_H2b zenon_H26). % 11.40/11.61 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.40/11.61 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ]. % 11.40/11.61 exact (zenon_H2b zenon_H26). % 11.40/11.61 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ]. % 11.40/11.61 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.40/11.61 exact (zenon_H38 zenon_H33). % 11.40/11.61 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.40/11.61 apply (zenon_L763_); trivial. % 11.40/11.61 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.40/11.61 apply (zenon_L9_); trivial. % 11.40/11.61 apply (zenon_L845_); trivial. % 11.40/11.61 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ]. % 11.40/11.61 apply (zenon_L108_); trivial. % 11.40/11.61 apply (zenon_L847_); trivial. % 11.40/11.61 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.40/11.61 apply (zenon_L6_); trivial. % 11.40/11.61 apply (zenon_L770_); trivial. % 11.40/11.61 apply (zenon_L777_); trivial. % 11.40/11.61 apply (zenon_L127_); trivial. % 11.40/11.61 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H1e | zenon_intro zenon_H191 ]. % 11.40/11.61 apply (zenon_L849_); trivial. % 11.40/11.61 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H72 ]. % 11.40/11.61 apply (zenon_L810_); trivial. % 11.40/11.61 apply (zenon_L811_); trivial. % 11.40/11.61 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H25 | zenon_intro zenon_H190 ]. % 11.40/11.61 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.40/11.61 apply (zenon_L129_); trivial. % 11.40/11.61 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.40/11.61 apply (zenon_L814_); trivial. % 11.40/11.61 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.40/11.61 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ]. % 11.40/11.61 apply (zenon_L129_); trivial. % 11.40/11.61 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ]. % 11.40/11.61 apply (zenon_L819_); trivial. % 11.40/11.61 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ]. % 11.40/11.61 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.40/11.61 exact (zenon_H2b zenon_H26). % 11.40/11.61 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.40/11.61 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ]. % 11.40/11.61 exact (zenon_H2b zenon_H26). % 11.40/11.61 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ]. % 11.40/11.61 apply (zenon_L812_); trivial. % 11.40/11.61 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ]. % 11.40/11.61 apply (zenon_L108_); trivial. % 11.40/11.61 apply (zenon_L847_); trivial. % 11.40/11.61 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.40/11.61 apply (zenon_L6_); trivial. % 11.40/11.61 apply (zenon_L813_); trivial. % 11.40/11.61 apply (zenon_L820_); trivial. % 11.40/11.61 apply (zenon_L127_); trivial. % 11.40/11.61 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H1e | zenon_intro zenon_H191 ]. % 11.40/11.61 apply (zenon_L826_); trivial. % 11.40/11.61 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H72 ]. % 11.40/11.61 apply (zenon_L827_); trivial. % 11.40/11.61 apply (zenon_L828_); trivial. % 11.40/11.61 apply (zenon_L391_); trivial. % 11.40/11.61 apply (zenon_L829_); trivial. % 11.40/11.61 apply (zenon_L456_); trivial. % 11.40/11.61 (* end of lemma zenon_L850_ *) % 11.40/11.61 assert (zenon_L851_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e1)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> False). % 11.40/11.61 do 0 intro. intros zenon_Hb9 zenon_H26b zenon_H41 zenon_H34 zenon_H3c zenon_H236 zenon_H233 zenon_He3 zenon_H18a zenon_H13a zenon_H47 zenon_Hf0 zenon_H9e. % 11.40/11.61 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H72 | zenon_intro zenon_Hbe ]. % 11.40/11.61 exact (zenon_H26b zenon_H72). % 11.40/11.61 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H7a | zenon_intro zenon_Hbf ]. % 11.40/11.61 apply (zenon_L674_); trivial. % 11.40/11.61 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H96 | zenon_intro zenon_H9d ]. % 11.40/11.61 apply (zenon_L675_); trivial. % 11.40/11.61 exact (zenon_H9e zenon_H9d). % 11.40/11.61 (* end of lemma zenon_L851_ *) % 11.40/11.61 assert (zenon_L852_ : ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> ((op (e1) (e0)) = (e1)) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((e1) = (e2))) -> ((op (e2) (e3)) = (e2)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e0) (e0)) = (e0)) -> (~((e0) = (e1))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> False). % 11.40/11.61 do 0 intro. intros zenon_H1fb zenon_H4c zenon_H26b zenon_H236 zenon_H13a zenon_Hb9 zenon_H65 zenon_H34 zenon_H3c zenon_H6d zenon_H19c zenon_He2 zenon_H192 zenon_Hc0 zenon_H161 zenon_H79 zenon_Hfa zenon_H122 zenon_H242 zenon_H226 zenon_H95 zenon_H263 zenon_H18b zenon_Hf0 zenon_H233 zenon_He5 zenon_He3 zenon_H251 zenon_H1cb zenon_H41 zenon_H1f0 zenon_H167 zenon_H148 zenon_H27 zenon_Hb0 zenon_H1e2 zenon_H16c zenon_Hcb zenon_H30 zenon_H18a zenon_H11b zenon_H1aa zenon_Hc4 zenon_H25 zenon_H20 zenon_H1fa. % 11.40/11.61 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_Hcf | zenon_intro zenon_Hb5 ]. % 11.40/11.61 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H9e | zenon_intro zenon_H15e ]. % 11.40/11.61 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.40/11.61 apply (zenon_L129_); trivial. % 11.40/11.61 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.40/11.61 apply (zenon_L660_); trivial. % 11.40/11.61 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.40/11.61 apply (zenon_L673_); trivial. % 11.40/11.61 apply (zenon_L851_); trivial. % 11.40/11.61 apply (zenon_L659_); trivial. % 11.40/11.61 apply (zenon_L334_); trivial. % 11.40/11.61 (* end of lemma zenon_L852_ *) % 11.40/11.61 assert (zenon_L853_ : (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e0) (e2)) = (e2)) -> ((op (e1) (e0)) = (e3)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((e0) = (e1))) -> ((op (e1) (e3)) = (e1)) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e2) = (e3))) -> ((op (e3) (e1)) = (e0)) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (~((e1) = (e3))) -> ((op (e2) (e1)) = (e3)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e0))) -> False). % 11.40/11.61 do 0 intro. intros zenon_Hf3 zenon_H2f zenon_H75 zenon_H10e zenon_He2 zenon_Hb9 zenon_H26b zenon_H20 zenon_H90 zenon_H18a zenon_He3 zenon_H41 zenon_H120 zenon_H27 zenon_H1f0 zenon_H30 zenon_He5 zenon_Hf0 zenon_H233 zenon_H3c zenon_H145 zenon_H1cb zenon_H251 zenon_Hb0 zenon_H9e. % 11.40/11.61 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H3b | zenon_intro zenon_Hf4 ]. % 11.40/11.61 apply (zenon_L13_); trivial. % 11.40/11.61 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H89 | zenon_intro zenon_Hf5 ]. % 11.40/11.61 apply (zenon_L229_); trivial. % 11.40/11.61 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_He1 | zenon_intro zenon_Hec ]. % 11.40/11.61 exact (zenon_He2 zenon_He1). % 11.40/11.61 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H72 | zenon_intro zenon_Hbe ]. % 11.40/11.61 exact (zenon_H26b zenon_H72). % 11.40/11.61 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H7a | zenon_intro zenon_Hbf ]. % 11.40/11.61 apply (zenon_L38_); trivial. % 11.40/11.61 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H96 | zenon_intro zenon_H9d ]. % 11.40/11.61 apply (zenon_L663_); trivial. % 11.40/11.61 exact (zenon_H9e zenon_H9d). % 11.40/11.61 (* end of lemma zenon_L853_ *) % 11.40/11.61 assert (zenon_L854_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e1)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e1)) = (e3)) -> (~((e1) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e2))) -> (~((e2) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e1))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e3)) -> ((op (e0) (e2)) = (e2)) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e0) = (e3))) -> (~((op (e3) (e3)) = (e0))) -> False). % 11.40/11.61 do 0 intro. intros zenon_H122 zenon_H15d zenon_H99 zenon_Hb0 zenon_H251 zenon_H1cb zenon_H145 zenon_H3c zenon_H233 zenon_Hf0 zenon_He5 zenon_H30 zenon_H1f0 zenon_H27 zenon_H41 zenon_He3 zenon_H18a zenon_H90 zenon_H20 zenon_H26b zenon_Hb9 zenon_He2 zenon_H10e zenon_H75 zenon_H2f zenon_Hf3 zenon_H34 zenon_H9e. % 11.40/11.61 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H3b | zenon_intro zenon_Hf4 ]. % 11.40/11.61 apply (zenon_L13_); trivial. % 11.40/11.61 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H89 | zenon_intro zenon_Hf5 ]. % 11.40/11.61 apply (zenon_L229_); trivial. % 11.40/11.61 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_He1 | zenon_intro zenon_Hec ]. % 11.40/11.61 exact (zenon_He2 zenon_He1). % 11.40/11.61 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H123 ]. % 11.40/11.61 apply (zenon_L662_); trivial. % 11.40/11.61 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H120 | zenon_intro zenon_H124 ]. % 11.40/11.61 apply (zenon_L853_); trivial. % 11.40/11.61 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H9d ]. % 11.40/11.61 apply (zenon_L89_); trivial. % 11.40/11.61 exact (zenon_H9e zenon_H9d). % 11.40/11.61 (* end of lemma zenon_L854_ *) % 11.40/11.61 assert (zenon_L855_ : (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e3) (e3)) = (e0))) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e0) (e2)) = (e2)) -> ((op (e1) (e0)) = (e3)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((e0) = (e1))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e3) (e0)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e2) (e3)) = (e2)) -> (~((e1) = (e2))) -> ((op (e2) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e1)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e3)) -> False). % 11.40/11.61 do 0 intro. intros zenon_H92 zenon_H10b zenon_Hcf zenon_Hfb zenon_H148 zenon_H79 zenon_H9e zenon_H34 zenon_Hf3 zenon_H2f zenon_H75 zenon_H10e zenon_Hb9 zenon_H26b zenon_H20 zenon_He3 zenon_H27 zenon_H1f0 zenon_He5 zenon_Hf0 zenon_H233 zenon_H251 zenon_Hb0 zenon_H99 zenon_H15d zenon_H122 zenon_H18a zenon_H30 zenon_Hcc zenon_Hcb zenon_H1f zenon_H167 zenon_H3c zenon_H41 zenon_H11b zenon_H1cb zenon_He2 zenon_H16e zenon_H40. % 11.40/11.61 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H6d | zenon_intro zenon_H93 ]. % 11.40/11.61 apply (zenon_L123_); trivial. % 11.40/11.61 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H56 | zenon_intro zenon_H94 ]. % 11.40/11.61 apply (zenon_L223_); trivial. % 11.40/11.61 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H88 | zenon_intro zenon_H90 ]. % 11.40/11.61 apply (zenon_L661_); trivial. % 11.48/11.61 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H39 | zenon_intro zenon_H149 ]. % 11.48/11.61 apply (zenon_L130_); trivial. % 11.48/11.61 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H78 | zenon_intro zenon_H14a ]. % 11.48/11.61 exact (zenon_H79 zenon_H78). % 11.48/11.61 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H145 | zenon_intro zenon_H147 ]. % 11.48/11.61 apply (zenon_L854_); trivial. % 11.48/11.61 apply (zenon_L668_); trivial. % 11.48/11.61 (* end of lemma zenon_L855_ *) % 11.48/11.61 assert (zenon_L856_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((e1) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e2))) -> (~((e2) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e1))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e3)) -> ((op (e0) (e2)) = (e2)) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e3) (e1)) = (e0)) -> False). % 11.48/11.61 do 0 intro. intros zenon_H148 zenon_H1f zenon_H79 zenon_H9e zenon_Hb0 zenon_H251 zenon_H1cb zenon_H3c zenon_H233 zenon_Hf0 zenon_He5 zenon_H30 zenon_H1f0 zenon_H27 zenon_H41 zenon_He3 zenon_H18a zenon_H90 zenon_H20 zenon_H26b zenon_Hb9 zenon_He2 zenon_H10e zenon_H75 zenon_H2f zenon_Hf3 zenon_H34 zenon_H120. % 11.48/11.61 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H39 | zenon_intro zenon_H149 ]. % 11.48/11.61 apply (zenon_L130_); trivial. % 11.48/11.61 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H78 | zenon_intro zenon_H14a ]. % 11.48/11.61 exact (zenon_H79 zenon_H78). % 11.48/11.61 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H145 | zenon_intro zenon_H147 ]. % 11.48/11.61 apply (zenon_L853_); trivial. % 11.48/11.61 apply (zenon_L670_); trivial. % 11.48/11.61 (* end of lemma zenon_L856_ *) % 11.48/11.61 assert (zenon_L857_ : ((((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))\/((((op (e1) (e1)) = (e1))/\(((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0)))/\(((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1)))/\(((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2)))/\((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3)))))))\/((((op (e2) (e2)) = (e2))/\(((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0)))/\(((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3)))))))\/(((op (e3) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3)))))))))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((e1) = (e3))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e3))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((e0) = (e1))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> False). % 11.48/11.61 do 0 intro. intros zenon_H1b0 zenon_H236 zenon_Hb9 zenon_H65 zenon_H242 zenon_H95 zenon_H16c zenon_H1aa zenon_Hc4 zenon_H92 zenon_H212 zenon_H18f zenon_H26b zenon_H1b8 zenon_H1e2 zenon_H263 zenon_H18b zenon_H106 zenon_H13a zenon_H226 zenon_H71 zenon_H259 zenon_H1df zenon_H125 zenon_H203 zenon_H12d zenon_Hfa zenon_He5 zenon_H223 zenon_Hc0 zenon_H10b zenon_Hb7 zenon_H27 zenon_H161 zenon_H101 zenon_H16a zenon_H167 zenon_H41 zenon_He2 zenon_Hcb zenon_H3c zenon_H157 zenon_H30 zenon_H11b zenon_H79 zenon_H10e zenon_H122 zenon_Hf3 zenon_H216 zenon_Had zenon_H19c zenon_H222 zenon_H1cb zenon_H251 zenon_H22e zenon_Hb0 zenon_Hf0 zenon_He3 zenon_H15d zenon_H1f3 zenon_H1f0 zenon_H148 zenon_H34 zenon_H16e zenon_H49 zenon_H1ca zenon_H44 zenon_Hf6 zenon_H20 zenon_H210 zenon_Hfb zenon_H4c zenon_H18a zenon_H192 zenon_H233. % 11.48/11.61 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H51 | zenon_intro zenon_H1b1 ]. % 11.48/11.61 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H25. zenon_intro zenon_H52. % 11.48/11.61 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H1f7. zenon_intro zenon_H1f6. % 11.48/11.61 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H1f9. zenon_intro zenon_H1f8. % 11.48/11.61 apply (zenon_and_s _ _ zenon_H1f8). zenon_intro zenon_H1fb. zenon_intro zenon_H1fa. % 11.48/11.61 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H207 | zenon_intro zenon_H6d ]. % 11.48/11.61 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_Hcf | zenon_intro zenon_Hb5 ]. % 11.48/11.61 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H9e | zenon_intro zenon_H15e ]. % 11.48/11.61 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.48/11.61 apply (zenon_L129_); trivial. % 11.48/11.61 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.48/11.61 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ]. % 11.48/11.61 apply (zenon_L129_); trivial. % 11.48/11.61 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ]. % 11.48/11.61 apply (zenon_L852_); trivial. % 11.48/11.61 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ]. % 11.48/11.61 apply (zenon_L641_); trivial. % 11.48/11.61 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.48/11.61 apply (zenon_L3_); trivial. % 11.48/11.61 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.48/11.61 apply (zenon_L211_); trivial. % 11.48/11.61 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.48/11.61 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.48/11.61 apply (zenon_L7_); trivial. % 11.48/11.61 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.48/11.61 apply (zenon_L130_); trivial. % 11.48/11.61 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.48/11.61 apply (zenon_L13_); trivial. % 11.48/11.61 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ]. % 11.48/11.61 apply (zenon_L7_); trivial. % 11.48/11.61 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ]. % 11.48/11.61 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H1e | zenon_intro zenon_H204 ]. % 11.48/11.61 apply (zenon_L2_); trivial. % 11.48/11.61 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H10c | zenon_intro zenon_H205 ]. % 11.48/11.61 exact (zenon_H207 zenon_H10c). % 11.48/11.61 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_Hcc | zenon_intro zenon_H120 ]. % 11.48/11.61 apply (zenon_L855_); trivial. % 11.48/11.61 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H6d | zenon_intro zenon_H93 ]. % 11.48/11.61 apply (zenon_L331_); trivial. % 11.48/11.61 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H56 | zenon_intro zenon_H94 ]. % 11.48/11.61 apply (zenon_L223_); trivial. % 11.48/11.61 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H88 | zenon_intro zenon_H90 ]. % 11.48/11.61 apply (zenon_L661_); trivial. % 11.48/11.61 apply (zenon_L856_); trivial. % 11.48/11.61 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ]. % 11.48/11.61 apply (zenon_L672_); trivial. % 11.48/11.61 apply (zenon_L196_); trivial. % 11.48/11.61 apply (zenon_L213_); trivial. % 11.48/11.61 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.48/11.61 apply (zenon_L673_); trivial. % 11.48/11.61 apply (zenon_L851_); trivial. % 11.48/11.61 apply (zenon_L677_); trivial. % 11.48/11.61 apply (zenon_L334_); trivial. % 11.48/11.61 apply (zenon_L852_); trivial. % 11.48/11.61 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H53 | zenon_intro zenon_H1b2 ]. % 11.48/11.61 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H56. zenon_intro zenon_H55. % 11.48/11.61 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H1c0. zenon_intro zenon_H1bf. % 11.48/11.61 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_H1fd. zenon_intro zenon_H1fc. % 11.48/11.61 apply (zenon_and_s _ _ zenon_H1fc). zenon_intro zenon_H1ff. zenon_intro zenon_H1fe. % 11.48/11.61 apply (zenon_or_s _ _ zenon_H1c0); [ zenon_intro zenon_H4d | zenon_intro zenon_H1e ]. % 11.48/11.61 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H11c | zenon_intro zenon_Hc7 ]. % 11.48/11.61 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e5 | zenon_intro zenon_H147 ]. % 11.48/11.61 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H25 | zenon_intro zenon_H190 ]. % 11.48/11.61 apply (zenon_L696_); trivial. % 11.48/11.61 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H1e | zenon_intro zenon_H191 ]. % 11.48/11.61 apply (zenon_L707_); trivial. % 11.48/11.61 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H72 ]. % 11.48/11.61 apply (zenon_L725_); trivial. % 11.48/11.61 exact (zenon_H26b zenon_H72). % 11.48/11.61 apply (zenon_L690_); trivial. % 11.48/11.61 apply (zenon_L184_); trivial. % 11.48/11.61 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H11c | zenon_intro zenon_Hc7 ]. % 11.48/11.61 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e5 | zenon_intro zenon_H147 ]. % 11.48/11.61 apply (zenon_L707_); trivial. % 11.48/11.61 apply (zenon_L690_); trivial. % 11.48/11.61 apply (zenon_L184_); trivial. % 11.48/11.61 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H132 | zenon_intro zenon_H15f ]. % 11.48/11.61 apply (zenon_L729_); trivial. % 11.48/11.61 apply (zenon_L456_); trivial. % 11.48/11.61 (* end of lemma zenon_L857_ *) % 11.48/11.61 assert (zenon_L858_ : ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((e1) = (e2))) -> ((op (e2) (e3)) = (e2)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))\/((((op (e1) (e1)) = (e1))/\(((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0)))/\(((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1)))/\(((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2)))/\((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3)))))))\/((((op (e2) (e2)) = (e2))/\(((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0)))/\(((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3)))))))\/(((op (e3) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3)))))))))) -> False). % 11.48/11.61 do 0 intro. intros zenon_H26c zenon_H4c zenon_H26b zenon_H236 zenon_H13a zenon_Hb9 zenon_H65 zenon_H34 zenon_H3c zenon_H19c zenon_He2 zenon_H192 zenon_Hc0 zenon_H161 zenon_H79 zenon_Hfa zenon_H122 zenon_H242 zenon_H226 zenon_H95 zenon_H263 zenon_H18b zenon_Hf0 zenon_He5 zenon_He3 zenon_H251 zenon_H1cb zenon_H41 zenon_H1f0 zenon_H167 zenon_H148 zenon_H27 zenon_Hb0 zenon_H1e2 zenon_H16c zenon_Hcb zenon_H30 zenon_H18a zenon_H11b zenon_H1aa zenon_Hc4 zenon_H49 zenon_H92 zenon_H15d zenon_H10e zenon_H16e zenon_Hf3 zenon_Hfb zenon_H10b zenon_H212 zenon_H203 zenon_H44 zenon_Hb7 zenon_H20 zenon_H18f zenon_H1b8 zenon_H106 zenon_H71 zenon_H259 zenon_H1df zenon_H125 zenon_H12d zenon_H223 zenon_H101 zenon_H16a zenon_H157 zenon_H216 zenon_Had zenon_H222 zenon_H22e zenon_H1f3 zenon_H1ca zenon_Hf6 zenon_H210 zenon_H1b0. % 11.48/11.62 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H233 | zenon_intro zenon_H233 ]. % 11.48/11.62 apply (zenon_L857_); trivial. % 11.48/11.62 apply (zenon_L857_); trivial. % 11.48/11.62 (* end of lemma zenon_L858_ *) % 11.48/11.62 assert (zenon_L859_ : (~((op (e3) (e3)) = (e3))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e2)) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))\/((((op (e1) (e1)) = (e1))/\(((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0)))/\(((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1)))/\(((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2)))/\((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3)))))))\/((((op (e2) (e2)) = (e2))/\(((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0)))/\(((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3)))))))\/(((op (e3) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3)))))))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e1) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e2) = (e3))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e3)) -> False). % 11.48/11.62 do 0 intro. intros zenon_H233 zenon_H141 zenon_H62 zenon_H194 zenon_H90 zenon_H117 zenon_H1b0 zenon_H210 zenon_Hf6 zenon_H1ca zenon_H1f3 zenon_H22e zenon_H222 zenon_Had zenon_H216 zenon_H157 zenon_H16a zenon_H101 zenon_H223 zenon_H12d zenon_H125 zenon_H1df zenon_H259 zenon_H71 zenon_H106 zenon_H1b8 zenon_H18f zenon_H20 zenon_Hb7 zenon_H44 zenon_H203 zenon_H212 zenon_H10b zenon_Hfb zenon_Hf3 zenon_H10e zenon_H15d zenon_H92 zenon_H49 zenon_Hc4 zenon_H1aa zenon_H11b zenon_H30 zenon_Hcb zenon_H16c zenon_H1e2 zenon_Hb0 zenon_H27 zenon_H148 zenon_H167 zenon_H1f0 zenon_H41 zenon_H1cb zenon_H251 zenon_He3 zenon_He5 zenon_Hf0 zenon_H18b zenon_H263 zenon_H95 zenon_H226 zenon_H242 zenon_H122 zenon_Hfa zenon_H79 zenon_H161 zenon_Hc0 zenon_H192 zenon_He2 zenon_H19c zenon_H3c zenon_H34 zenon_H65 zenon_Hb9 zenon_H13a zenon_H236 zenon_H26b zenon_H4c zenon_H26c zenon_H16e zenon_H40. % 11.48/11.62 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H72 | zenon_intro zenon_Hbe ]. % 11.48/11.62 exact (zenon_H26b zenon_H72). % 11.48/11.62 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H7a | zenon_intro zenon_Hbf ]. % 11.48/11.62 apply (zenon_L103_); trivial. % 11.48/11.62 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H96 | zenon_intro zenon_H9d ]. % 11.48/11.62 apply (zenon_L638_); trivial. % 11.48/11.62 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H96 | zenon_intro zenon_H195 ]. % 11.48/11.62 apply (zenon_L71_); trivial. % 11.48/11.62 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H118 | zenon_intro zenon_H196 ]. % 11.48/11.62 apply (zenon_L96_); trivial. % 11.48/11.62 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H18a | zenon_intro zenon_H164 ]. % 11.48/11.62 apply (zenon_L858_); trivial. % 11.48/11.62 apply (zenon_L667_); trivial. % 11.48/11.62 (* end of lemma zenon_L859_ *) % 11.48/11.62 assert (zenon_L860_ : ((op (e0) (e0)) = (e0)) -> (~((e0) = (e1))) -> ((op (e1) (e3)) = (e1)) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))\/((((op (e1) (e1)) = (e1))/\(((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0)))/\(((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1)))/\(((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2)))/\((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3)))))))\/((((op (e2) (e2)) = (e2))/\(((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0)))/\(((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3)))))))\/(((op (e3) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3)))))))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e1) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((e0) = (e3))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e3)) -> (~((op (e1) (e1)) = (e0))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e2)) -> (~((e1) = (e3))) -> ((op (e3) (e0)) = (e1)) -> False). % 11.48/11.62 do 0 intro. intros zenon_H25 zenon_H20 zenon_H90 zenon_H69 zenon_H233 zenon_H141 zenon_H194 zenon_H117 zenon_H1b0 zenon_H210 zenon_Hf6 zenon_H1ca zenon_H1f3 zenon_H22e zenon_H222 zenon_Had zenon_H216 zenon_H157 zenon_H16a zenon_H101 zenon_H223 zenon_H12d zenon_H125 zenon_H1df zenon_H259 zenon_H71 zenon_H106 zenon_H1b8 zenon_H18f zenon_Hb7 zenon_H44 zenon_H203 zenon_H212 zenon_H10b zenon_Hfb zenon_Hf3 zenon_H10e zenon_H15d zenon_H92 zenon_H49 zenon_Hc4 zenon_H1aa zenon_H11b zenon_H30 zenon_Hcb zenon_H16c zenon_H1e2 zenon_Hb0 zenon_H27 zenon_H148 zenon_H167 zenon_H1f0 zenon_H1cb zenon_H251 zenon_He3 zenon_He5 zenon_Hf0 zenon_H18b zenon_H263 zenon_H95 zenon_H226 zenon_H242 zenon_H122 zenon_Hfa zenon_H79 zenon_H161 zenon_Hc0 zenon_H192 zenon_He2 zenon_H19c zenon_H34 zenon_H65 zenon_Hb9 zenon_H13a zenon_H236 zenon_H26b zenon_H4c zenon_H26c zenon_H16e zenon_H40 zenon_H207 zenon_H113 zenon_H41 zenon_Hb5 zenon_H3c zenon_H99. % 11.48/11.62 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ]. % 11.48/11.62 apply (zenon_L7_); trivial. % 11.48/11.62 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ]. % 11.48/11.62 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ]. % 11.48/11.62 apply (zenon_L118_); trivial. % 11.48/11.62 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ]. % 11.48/11.62 exact (zenon_H207 zenon_H10c). % 11.48/11.62 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ]. % 11.48/11.62 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H58 | zenon_intro zenon_H6a ]. % 11.48/11.62 apply (zenon_L343_); trivial. % 11.48/11.62 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6c | zenon_intro zenon_H6b ]. % 11.48/11.62 apply (zenon_L346_); trivial. % 11.48/11.62 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H5b | zenon_intro zenon_H62 ]. % 11.48/11.62 apply (zenon_L347_); trivial. % 11.48/11.62 apply (zenon_L859_); trivial. % 11.48/11.62 apply (zenon_L38_); trivial. % 11.48/11.62 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ]. % 11.48/11.62 apply (zenon_L233_); trivial. % 11.48/11.62 apply (zenon_L196_); trivial. % 11.48/11.62 (* end of lemma zenon_L860_ *) % 11.48/11.62 assert (zenon_L861_ : ((op (e0) (e1)) = (e1)) -> ((op (e0) (e2)) = (e2)) -> ((op (e0) (e0)) = (e0)) -> (~((e0) = (e1))) -> ((op (e1) (e3)) = (e1)) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))\/((((op (e1) (e1)) = (e1))/\(((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0)))/\(((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1)))/\(((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2)))/\((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3)))))))\/((((op (e2) (e2)) = (e2))/\(((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0)))/\(((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3)))))))\/(((op (e3) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3)))))))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e1) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((e0) = (e3))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e2)) -> (~((e1) = (e3))) -> ((op (e3) (e0)) = (e1)) -> False). % 11.48/11.62 do 0 intro. intros zenon_H1f zenon_H2f zenon_H25 zenon_H20 zenon_H90 zenon_H69 zenon_H233 zenon_H141 zenon_H194 zenon_H117 zenon_H1b0 zenon_H210 zenon_Hf6 zenon_H1ca zenon_H1f3 zenon_H22e zenon_H222 zenon_Had zenon_H216 zenon_H157 zenon_H16a zenon_H101 zenon_H223 zenon_H12d zenon_H125 zenon_H1df zenon_H259 zenon_H71 zenon_H106 zenon_H1b8 zenon_H18f zenon_Hb7 zenon_H44 zenon_H203 zenon_H212 zenon_H10b zenon_Hfb zenon_Hf3 zenon_H10e zenon_H15d zenon_H92 zenon_H49 zenon_Hc4 zenon_H1aa zenon_H11b zenon_H30 zenon_Hcb zenon_H16c zenon_H1e2 zenon_Hb0 zenon_H27 zenon_H148 zenon_H167 zenon_H1f0 zenon_H1cb zenon_H251 zenon_He3 zenon_He5 zenon_Hf0 zenon_H18b zenon_H263 zenon_H95 zenon_H226 zenon_H242 zenon_H122 zenon_Hfa zenon_H79 zenon_H161 zenon_Hc0 zenon_H192 zenon_He2 zenon_H19c zenon_H34 zenon_H65 zenon_Hb9 zenon_H13a zenon_H236 zenon_H26b zenon_H4c zenon_H26c zenon_H16e zenon_H207 zenon_H113 zenon_H41 zenon_Hb5 zenon_H3c zenon_H99. % 11.48/11.62 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.48/11.62 apply (zenon_L7_); trivial. % 11.48/11.62 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.48/11.62 apply (zenon_L130_); trivial. % 11.48/11.62 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.48/11.62 apply (zenon_L13_); trivial. % 11.48/11.62 apply (zenon_L860_); trivial. % 11.48/11.62 (* end of lemma zenon_L861_ *) % 11.48/11.62 assert (zenon_L862_ : (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))\/((((op (e1) (e1)) = (e1))/\(((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0)))/\(((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1)))/\(((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2)))/\((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3)))))))\/((((op (e2) (e2)) = (e2))/\(((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0)))/\(((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3)))))))\/(((op (e3) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3)))))))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e0)) = (e0)) -> (~((e0) = (e1))) -> ((op (e1) (e3)) = (e1)) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((e0) = (e2))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e1)) = (e0))) -> (~((e0) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e2)) -> (~((e1) = (e3))) -> False). % 11.48/11.62 do 0 intro. intros zenon_H23c zenon_H16e zenon_H26c zenon_H4c zenon_H26b zenon_H236 zenon_H13a zenon_Hb9 zenon_H65 zenon_H19c zenon_He2 zenon_H192 zenon_Hc0 zenon_H79 zenon_Hfa zenon_H122 zenon_H242 zenon_H226 zenon_H95 zenon_H263 zenon_H18b zenon_Hf0 zenon_He5 zenon_He3 zenon_H251 zenon_H1cb zenon_H1f0 zenon_H167 zenon_H148 zenon_Hb0 zenon_H1e2 zenon_Hcb zenon_H30 zenon_H11b zenon_H1aa zenon_Hc4 zenon_H49 zenon_H92 zenon_H15d zenon_H10e zenon_Hf3 zenon_Hfb zenon_H10b zenon_H212 zenon_H203 zenon_H44 zenon_Hb7 zenon_H18f zenon_H1b8 zenon_H106 zenon_H71 zenon_H259 zenon_H1df zenon_H125 zenon_H12d zenon_H223 zenon_H101 zenon_H16a zenon_H157 zenon_H216 zenon_Had zenon_H222 zenon_H22e zenon_H1f3 zenon_H1ca zenon_Hf6 zenon_H210 zenon_H1b0 zenon_H117 zenon_H194 zenon_H141 zenon_H233 zenon_H1f zenon_H161 zenon_H25 zenon_H20 zenon_H90 zenon_H69 zenon_H16c zenon_H27 zenon_H61 zenon_H207 zenon_H34 zenon_H113 zenon_H41 zenon_Hb5 zenon_H3c. % 11.48/11.62 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ]. % 11.48/11.62 apply (zenon_L129_); trivial. % 11.48/11.62 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ]. % 11.48/11.62 apply (zenon_L519_); trivial. % 11.48/11.62 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ]. % 11.48/11.62 apply (zenon_L108_); trivial. % 11.48/11.62 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.48/11.62 apply (zenon_L3_); trivial. % 11.48/11.62 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.48/11.62 apply (zenon_L211_); trivial. % 11.48/11.62 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.48/11.62 apply (zenon_L861_); trivial. % 11.48/11.62 apply (zenon_L752_); trivial. % 11.48/11.62 (* end of lemma zenon_L862_ *) % 11.48/11.62 assert (zenon_L863_ : ((op (e0) (e0)) = (e0)) -> (~((e0) = (e1))) -> ((op (e1) (e3)) = (e1)) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))\/((((op (e1) (e1)) = (e1))/\(((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0)))/\(((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1)))/\(((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2)))/\((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3)))))))\/((((op (e2) (e2)) = (e2))/\(((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0)))/\(((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3)))))))\/(((op (e3) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3)))))))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e1) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((e0) = (e3))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e3)) -> (~((op (e1) (e1)) = (e0))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e1)) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e2)) -> False). % 11.48/11.62 do 0 intro. intros zenon_H25 zenon_H20 zenon_H90 zenon_H69 zenon_H61 zenon_H8d zenon_H233 zenon_H141 zenon_H194 zenon_H117 zenon_H1b0 zenon_H210 zenon_Hf6 zenon_H1ca zenon_H1f3 zenon_H22e zenon_H222 zenon_Had zenon_H216 zenon_H157 zenon_H16a zenon_H101 zenon_H223 zenon_H12d zenon_H125 zenon_H1df zenon_H259 zenon_H71 zenon_H106 zenon_H1b8 zenon_H18f zenon_Hb7 zenon_H44 zenon_H203 zenon_H212 zenon_H10b zenon_Hfb zenon_Hf3 zenon_H10e zenon_H15d zenon_H92 zenon_H49 zenon_Hc4 zenon_H1aa zenon_H11b zenon_H30 zenon_Hcb zenon_H16c zenon_H1e2 zenon_Hb0 zenon_H27 zenon_H148 zenon_H167 zenon_H1f0 zenon_H1cb zenon_H251 zenon_He3 zenon_He5 zenon_Hf0 zenon_H18b zenon_H263 zenon_H95 zenon_H226 zenon_H242 zenon_H122 zenon_Hfa zenon_H79 zenon_H161 zenon_Hc0 zenon_H192 zenon_He2 zenon_H19c zenon_H34 zenon_H65 zenon_Hb9 zenon_H13a zenon_H236 zenon_H26b zenon_H4c zenon_H26c zenon_H16e zenon_H40 zenon_H207 zenon_H113 zenon_H3c zenon_H6f zenon_H41 zenon_H9a. % 11.48/11.62 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ]. % 11.48/11.62 apply (zenon_L7_); trivial. % 11.48/11.62 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ]. % 11.48/11.62 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ]. % 11.48/11.62 apply (zenon_L118_); trivial. % 11.48/11.62 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ]. % 11.48/11.62 exact (zenon_H207 zenon_H10c). % 11.48/11.62 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ]. % 11.48/11.62 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H58 | zenon_intro zenon_H6a ]. % 11.48/11.62 apply (zenon_L635_); trivial. % 11.48/11.62 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6c | zenon_intro zenon_H6b ]. % 11.48/11.62 apply (zenon_L346_); trivial. % 11.48/11.62 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H5b | zenon_intro zenon_H62 ]. % 11.48/11.62 apply (zenon_L347_); trivial. % 11.48/11.62 apply (zenon_L859_); trivial. % 11.48/11.62 apply (zenon_L38_); trivial. % 11.48/11.62 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ]. % 11.48/11.62 apply (zenon_L136_); trivial. % 11.48/11.62 apply (zenon_L302_); trivial. % 11.48/11.62 (* end of lemma zenon_L863_ *) % 11.48/11.62 assert (zenon_L864_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((e0) = (e3))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> False). % 11.48/11.62 do 0 intro. intros zenon_Hb9 zenon_H26b zenon_H34 zenon_H8b zenon_H233 zenon_H13a zenon_H3f zenon_H141 zenon_H90 zenon_He3 zenon_Hf0 zenon_H9e. % 11.48/11.62 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H72 | zenon_intro zenon_Hbe ]. % 11.48/11.62 exact (zenon_H26b zenon_H72). % 11.48/11.62 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H7a | zenon_intro zenon_Hbf ]. % 11.48/11.62 apply (zenon_L36_); trivial. % 11.48/11.62 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H96 | zenon_intro zenon_H9d ]. % 11.48/11.62 apply (zenon_L735_); trivial. % 11.48/11.62 exact (zenon_H9e zenon_H9d). % 11.48/11.62 (* end of lemma zenon_L864_ *) % 11.48/11.62 assert (zenon_L865_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (~((e0) = (e1))) -> ((op (e1) (e3)) = (e1)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((e0) = (e2))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((e0) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e0) (e0)) = (e0)) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((op (e0) (e3)) = (e2)) -> (~((e2) = (e3))) -> False). % 11.48/11.62 do 0 intro. intros zenon_H44 zenon_H3c zenon_H1f zenon_H20 zenon_H90 zenon_H8d zenon_H61 zenon_H27 zenon_H69 zenon_H79 zenon_H13f zenon_Hb9 zenon_H26b zenon_H34 zenon_H233 zenon_H13a zenon_H141 zenon_He3 zenon_Hf0 zenon_H9e zenon_H207 zenon_H187 zenon_H25 zenon_H113 zenon_H3f zenon_H41. % 11.48/11.62 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.48/11.62 apply (zenon_L7_); trivial. % 11.48/11.62 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.48/11.62 apply (zenon_L130_); trivial. % 11.48/11.62 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.48/11.62 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ]. % 11.48/11.62 apply (zenon_L298_); trivial. % 11.48/11.62 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ]. % 11.48/11.62 exact (zenon_H207 zenon_H10c). % 11.48/11.62 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ]. % 11.48/11.62 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H75 | zenon_intro zenon_H8e ]. % 11.48/11.62 apply (zenon_L734_); trivial. % 11.48/11.62 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H78 | zenon_intro zenon_H8f ]. % 11.48/11.62 exact (zenon_H79 zenon_H78). % 11.48/11.62 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H8b ]. % 11.48/11.62 apply (zenon_L119_); trivial. % 11.48/11.62 apply (zenon_L864_); trivial. % 11.48/11.62 apply (zenon_L38_); trivial. % 11.48/11.62 apply (zenon_L11_); trivial. % 11.48/11.62 (* end of lemma zenon_L865_ *) % 11.48/11.62 assert (zenon_L866_ : ((op (e0) (e1)) = (e2)) -> ((op (e0) (e2)) = (e1)) -> ((op (e0) (e0)) = (e0)) -> (~((e0) = (e1))) -> ((op (e1) (e3)) = (e1)) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))\/((((op (e1) (e1)) = (e1))/\(((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0)))/\(((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1)))/\(((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2)))/\((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3)))))))\/((((op (e2) (e2)) = (e2))/\(((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0)))/\(((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3)))))))\/(((op (e3) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3)))))))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e1) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((e0) = (e3))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e2)) -> (~((e1) = (e3))) -> ((op (e3) (e0)) = (e1)) -> False). % 11.48/11.62 do 0 intro. intros zenon_H2c zenon_H2e zenon_H25 zenon_H20 zenon_H90 zenon_H69 zenon_H233 zenon_H141 zenon_H194 zenon_H117 zenon_H1b0 zenon_H210 zenon_Hf6 zenon_H1ca zenon_H1f3 zenon_H22e zenon_H222 zenon_Had zenon_H216 zenon_H157 zenon_H16a zenon_H101 zenon_H223 zenon_H12d zenon_H125 zenon_H1df zenon_H259 zenon_H71 zenon_H106 zenon_H1b8 zenon_H18f zenon_Hb7 zenon_H44 zenon_H203 zenon_H212 zenon_H10b zenon_Hfb zenon_Hf3 zenon_H10e zenon_H15d zenon_H92 zenon_H49 zenon_Hc4 zenon_H1aa zenon_H11b zenon_H30 zenon_Hcb zenon_H16c zenon_H1e2 zenon_Hb0 zenon_H27 zenon_H148 zenon_H167 zenon_H1f0 zenon_H1cb zenon_H251 zenon_He3 zenon_He5 zenon_Hf0 zenon_H18b zenon_H263 zenon_H95 zenon_H226 zenon_H242 zenon_H122 zenon_Hfa zenon_H79 zenon_H161 zenon_Hc0 zenon_H192 zenon_He2 zenon_H19c zenon_H34 zenon_H65 zenon_Hb9 zenon_H13a zenon_H236 zenon_H26b zenon_H4c zenon_H26c zenon_H16e zenon_H207 zenon_H113 zenon_H41 zenon_Hb5 zenon_H3c zenon_H99. % 11.48/11.62 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.48/11.62 apply (zenon_L7_); trivial. % 11.48/11.62 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.48/11.62 apply (zenon_L65_); trivial. % 11.48/11.62 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.48/11.62 apply (zenon_L9_); trivial. % 11.48/11.62 apply (zenon_L860_); trivial. % 11.48/11.62 (* end of lemma zenon_L866_ *) % 11.48/11.62 assert (zenon_L867_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e1)) = (e3))) -> ((op (e1) (e2)) = (e0)) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((e0) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> False). % 11.48/11.62 do 0 intro. intros zenon_H8d zenon_H6c zenon_H79 zenon_He0 zenon_Hb9 zenon_H26b zenon_H34 zenon_H233 zenon_H13a zenon_H3f zenon_H141 zenon_H90 zenon_He3 zenon_Hf0 zenon_H9e. % 11.48/11.62 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H75 | zenon_intro zenon_H8e ]. % 11.48/11.62 apply (zenon_L346_); trivial. % 11.48/11.62 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H78 | zenon_intro zenon_H8f ]. % 11.48/11.62 exact (zenon_H79 zenon_H78). % 11.48/11.62 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H8b ]. % 11.48/11.62 apply (zenon_L69_); trivial. % 11.48/11.62 apply (zenon_L864_); trivial. % 11.48/11.62 (* end of lemma zenon_L867_ *) % 11.48/11.62 assert (zenon_L868_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> ((op (e0) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e3)) -> False). % 11.48/11.62 do 0 intro. intros zenon_Hb9 zenon_H26b zenon_H3b zenon_H13f zenon_H5a zenon_H5c zenon_H125 zenon_H1d9 zenon_H228 zenon_H245 zenon_H233 zenon_H13a zenon_H141 zenon_Hf0 zenon_H194 zenon_He3 zenon_H90 zenon_H16e zenon_H3f zenon_H117 zenon_H8b. % 11.48/11.62 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H72 | zenon_intro zenon_Hbe ]. % 11.48/11.62 exact (zenon_H26b zenon_H72). % 11.48/11.62 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H7a | zenon_intro zenon_Hbf ]. % 11.48/11.62 apply (zenon_L513_); trivial. % 11.48/11.62 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H96 | zenon_intro zenon_H9d ]. % 11.48/11.62 apply (zenon_L735_); trivial. % 11.48/11.62 apply (zenon_L756_); trivial. % 11.48/11.62 (* end of lemma zenon_L868_ *) % 11.48/11.62 assert (zenon_L869_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (~((e0) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> ((op (e1) (e2)) = (e0)) -> (~((e0) = (e1))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e1) (e0)) = (e2)) -> ((op (e2) (e1)) = (e0)) -> (~((e0) = (e2))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e3)) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False). % 11.48/11.62 do 0 intro. intros zenon_H22e zenon_H41 zenon_H3c zenon_H113 zenon_H187 zenon_Hfa zenon_Hcf zenon_H8d zenon_H79 zenon_H34 zenon_H19c zenon_H192 zenon_He2 zenon_H11b zenon_Hc4 zenon_H1aa zenon_H25 zenon_H95 zenon_H242 zenon_Hb7 zenon_H167 zenon_H226 zenon_H15e zenon_Hcb zenon_H106 zenon_H207 zenon_H44 zenon_H1e2 zenon_H203 zenon_He0 zenon_H20 zenon_H6f zenon_Hc0 zenon_H1a2 zenon_H16c zenon_H58 zenon_Hcc zenon_H27 zenon_H8b zenon_H117 zenon_H90 zenon_He3 zenon_H194 zenon_Hf0 zenon_H141 zenon_H13a zenon_H233 zenon_H245 zenon_H228 zenon_H125 zenon_H5c zenon_H13f zenon_H3b zenon_H26b zenon_Hb9 zenon_H3f zenon_H16e. % 11.48/11.62 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H2e | zenon_intro zenon_H22f ]. % 11.48/11.62 apply (zenon_L748_); trivial. % 11.48/11.62 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H88 | zenon_intro zenon_H230 ]. % 11.48/11.62 apply (zenon_L92_); trivial. % 11.48/11.62 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H11f | zenon_intro zenon_H1d9 ]. % 11.48/11.62 apply (zenon_L640_); trivial. % 11.48/11.62 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H1a3 ]. % 11.48/11.62 apply (zenon_L343_); trivial. % 11.48/11.62 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H1a4 ]. % 11.48/11.62 apply (zenon_L164_); trivial. % 11.48/11.62 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H5a | zenon_intro zenon_H18a ]. % 11.48/11.62 apply (zenon_L868_); trivial. % 11.48/11.62 apply (zenon_L213_); trivial. % 11.48/11.62 (* end of lemma zenon_L869_ *) % 11.48/11.62 assert (zenon_L870_ : (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))\/((((op (e1) (e1)) = (e1))/\(((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0)))/\(((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1)))/\(((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2)))/\((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3)))))))\/((((op (e2) (e2)) = (e2))/\(((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0)))/\(((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3)))))))\/(((op (e3) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3)))))))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (~((e1) = (e2))) -> ((op (e0) (e2)) = (e1)) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e0)) = (e0)) -> (~((e0) = (e1))) -> ((op (e1) (e3)) = (e1)) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((e0) = (e2))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e1)) = (e0))) -> (~((e0) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e2)) -> (~((e1) = (e3))) -> False). % 11.48/11.63 do 0 intro. intros zenon_H23c zenon_H16e zenon_H26c zenon_H4c zenon_H26b zenon_H236 zenon_H13a zenon_Hb9 zenon_H65 zenon_H19c zenon_He2 zenon_H192 zenon_Hc0 zenon_H79 zenon_Hfa zenon_H122 zenon_H242 zenon_H226 zenon_H95 zenon_H263 zenon_H18b zenon_Hf0 zenon_He5 zenon_He3 zenon_H251 zenon_H1cb zenon_H1f0 zenon_H167 zenon_H148 zenon_Hb0 zenon_H1e2 zenon_Hcb zenon_H11b zenon_H1aa zenon_Hc4 zenon_H49 zenon_H92 zenon_H15d zenon_H10e zenon_Hf3 zenon_Hfb zenon_H10b zenon_H212 zenon_H203 zenon_H44 zenon_Hb7 zenon_H18f zenon_H1b8 zenon_H106 zenon_H71 zenon_H259 zenon_H1df zenon_H125 zenon_H12d zenon_H223 zenon_H101 zenon_H16a zenon_H157 zenon_H216 zenon_Had zenon_H222 zenon_H22e zenon_H1f3 zenon_H1ca zenon_Hf6 zenon_H210 zenon_H1b0 zenon_H117 zenon_H194 zenon_H141 zenon_H233 zenon_H30 zenon_H2e zenon_H161 zenon_H25 zenon_H20 zenon_H90 zenon_H69 zenon_H16c zenon_H27 zenon_H61 zenon_H207 zenon_H34 zenon_H113 zenon_H41 zenon_Hb5 zenon_H3c. % 11.48/11.63 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ]. % 11.48/11.63 apply (zenon_L129_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ]. % 11.48/11.63 apply (zenon_L519_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ]. % 11.48/11.63 apply (zenon_L108_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.48/11.63 apply (zenon_L208_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.48/11.63 apply (zenon_L866_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.48/11.63 apply (zenon_L6_); trivial. % 11.48/11.63 apply (zenon_L752_); trivial. % 11.48/11.63 (* end of lemma zenon_L870_ *) % 11.48/11.63 assert (zenon_L871_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e3) (e1)) = (e1)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (e2))) -> ((op (e1) (e2)) = (e0)) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))\/((((op (e1) (e1)) = (e1))/\(((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0)))/\(((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1)))/\(((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2)))/\((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3)))))))\/((((op (e2) (e2)) = (e2))/\(((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0)))/\(((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3)))))))\/(((op (e3) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3)))))))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e1) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e2) = (e3))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e3)) -> False). % 11.48/11.63 do 0 intro. intros zenon_H69 zenon_H61 zenon_H15a zenon_He6 zenon_H8d zenon_H68 zenon_He0 zenon_H233 zenon_H141 zenon_H194 zenon_H90 zenon_H117 zenon_H1b0 zenon_H210 zenon_Hf6 zenon_H1ca zenon_H1f3 zenon_H22e zenon_H222 zenon_Had zenon_H216 zenon_H157 zenon_H16a zenon_H101 zenon_H223 zenon_H12d zenon_H125 zenon_H1df zenon_H259 zenon_H71 zenon_H106 zenon_H1b8 zenon_H18f zenon_H20 zenon_Hb7 zenon_H44 zenon_H203 zenon_H212 zenon_H10b zenon_Hfb zenon_Hf3 zenon_H10e zenon_H15d zenon_H92 zenon_H49 zenon_Hc4 zenon_H1aa zenon_H11b zenon_H30 zenon_Hcb zenon_H16c zenon_H1e2 zenon_Hb0 zenon_H27 zenon_H148 zenon_H167 zenon_H1f0 zenon_H41 zenon_H1cb zenon_H251 zenon_He3 zenon_He5 zenon_Hf0 zenon_H18b zenon_H263 zenon_H95 zenon_H226 zenon_H242 zenon_H122 zenon_Hfa zenon_H79 zenon_H161 zenon_Hc0 zenon_H192 zenon_He2 zenon_H19c zenon_H3c zenon_H34 zenon_H65 zenon_Hb9 zenon_H13a zenon_H236 zenon_H26b zenon_H4c zenon_H26c zenon_H16e zenon_H40. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H58 | zenon_intro zenon_H6a ]. % 11.48/11.63 apply (zenon_L765_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6c | zenon_intro zenon_H6b ]. % 11.48/11.63 exact (zenon_H68 zenon_H6c). % 11.48/11.63 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H5b | zenon_intro zenon_H62 ]. % 11.48/11.63 apply (zenon_L347_); trivial. % 11.48/11.63 apply (zenon_L859_); trivial. % 11.48/11.63 (* end of lemma zenon_L871_ *) % 11.48/11.63 assert (zenon_L872_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))\/((((op (e1) (e1)) = (e1))/\(((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0)))/\(((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1)))/\(((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2)))/\((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3)))))))\/((((op (e2) (e2)) = (e2))/\(((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0)))/\(((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3)))))))\/(((op (e3) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3)))))))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e1) (e1)) = (e2))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e0) (e1)) = (e2)) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e1))) -> False). % 11.48/11.63 do 0 intro. intros zenon_H113 zenon_H5a zenon_H5c zenon_H40 zenon_H16e zenon_H26c zenon_H4c zenon_H26b zenon_H236 zenon_H13a zenon_Hb9 zenon_H65 zenon_H34 zenon_H3c zenon_H19c zenon_He2 zenon_H192 zenon_Hc0 zenon_H161 zenon_H79 zenon_Hfa zenon_H122 zenon_H242 zenon_H226 zenon_H95 zenon_H263 zenon_H18b zenon_Hf0 zenon_He5 zenon_He3 zenon_H251 zenon_H1cb zenon_H41 zenon_H1f0 zenon_H167 zenon_H148 zenon_H27 zenon_Hb0 zenon_H1e2 zenon_H16c zenon_Hcb zenon_H30 zenon_H11b zenon_H1aa zenon_Hc4 zenon_H49 zenon_H92 zenon_H15d zenon_H10e zenon_Hf3 zenon_Hfb zenon_H10b zenon_H212 zenon_H203 zenon_H44 zenon_Hb7 zenon_H18f zenon_H1b8 zenon_H106 zenon_H71 zenon_H259 zenon_H1df zenon_H125 zenon_H12d zenon_H223 zenon_H101 zenon_H16a zenon_H157 zenon_H216 zenon_Had zenon_H222 zenon_H22e zenon_H1f3 zenon_H1ca zenon_Hf6 zenon_H210 zenon_H1b0 zenon_H117 zenon_H194 zenon_H141 zenon_H233 zenon_H68 zenon_H8d zenon_H15a zenon_H61 zenon_H69 zenon_H6f zenon_H14f zenon_H2c zenon_H105 zenon_H90 zenon_H20. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ]. % 11.48/11.63 apply (zenon_L784_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ]. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H58 | zenon_intro zenon_H6a ]. % 11.48/11.63 apply (zenon_L808_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6c | zenon_intro zenon_H6b ]. % 11.48/11.63 exact (zenon_H68 zenon_H6c). % 11.48/11.63 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H5b | zenon_intro zenon_H62 ]. % 11.48/11.63 apply (zenon_L21_); trivial. % 11.48/11.63 apply (zenon_L859_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ]. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H1f | zenon_intro zenon_H107 ]. % 11.48/11.63 apply (zenon_L211_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H56 | zenon_intro zenon_H108 ]. % 11.48/11.63 apply (zenon_L247_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hc5 | zenon_intro zenon_He6 ]. % 11.48/11.63 apply (zenon_L53_); trivial. % 11.48/11.63 apply (zenon_L871_); trivial. % 11.48/11.63 apply (zenon_L38_); trivial. % 11.48/11.63 (* end of lemma zenon_L872_ *) % 11.48/11.63 assert (zenon_L873_ : ((op (e0) (e0)) = (e0)) -> ((op (e3) (e0)) = (e2)) -> (((op (e2) (e2)) = (e2))/\(((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0)))/\(((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e1)) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))\/((((op (e1) (e1)) = (e1))/\(((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0)))/\(((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1)))/\(((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2)))/\((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3)))))))\/((((op (e2) (e2)) = (e2))/\(((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0)))/\(((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3)))))))\/(((op (e3) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3)))))))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e1) (e1)) = (e2))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e0) (e1)) = (e2)) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e1))) -> False). % 11.48/11.63 do 0 intro. intros zenon_H25 zenon_H9a zenon_H132 zenon_Hc8 zenon_H2e zenon_H113 zenon_H5a zenon_H5c zenon_H16e zenon_H26c zenon_H4c zenon_H26b zenon_H236 zenon_H13a zenon_Hb9 zenon_H65 zenon_H34 zenon_H3c zenon_H19c zenon_He2 zenon_H192 zenon_Hc0 zenon_H161 zenon_H79 zenon_Hfa zenon_H122 zenon_H242 zenon_H226 zenon_H95 zenon_H263 zenon_H18b zenon_Hf0 zenon_He5 zenon_He3 zenon_H251 zenon_H1cb zenon_H41 zenon_H1f0 zenon_H167 zenon_H148 zenon_H27 zenon_Hb0 zenon_H1e2 zenon_H16c zenon_Hcb zenon_H30 zenon_H11b zenon_H1aa zenon_Hc4 zenon_H49 zenon_H92 zenon_H15d zenon_H10e zenon_Hf3 zenon_Hfb zenon_H10b zenon_H212 zenon_H203 zenon_H44 zenon_Hb7 zenon_H18f zenon_H1b8 zenon_H106 zenon_H71 zenon_H259 zenon_H1df zenon_H125 zenon_H12d zenon_H223 zenon_H101 zenon_H16a zenon_H157 zenon_H216 zenon_Had zenon_H222 zenon_H22e zenon_H1f3 zenon_H1ca zenon_Hf6 zenon_H210 zenon_H1b0 zenon_H117 zenon_H194 zenon_H141 zenon_H233 zenon_H68 zenon_H8d zenon_H15a zenon_H61 zenon_H69 zenon_H6f zenon_H14f zenon_H2c zenon_H105 zenon_H90 zenon_H20. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.48/11.63 apply (zenon_L7_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.48/11.63 apply (zenon_L846_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.48/11.63 apply (zenon_L9_); trivial. % 11.48/11.63 apply (zenon_L872_); trivial. % 11.48/11.63 (* end of lemma zenon_L873_ *) % 11.48/11.63 assert (zenon_L874_ : (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e2))/\(((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0)))/\(((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))\/((((op (e1) (e1)) = (e1))/\(((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0)))/\(((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1)))/\(((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2)))/\((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3)))))))\/((((op (e2) (e2)) = (e2))/\(((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0)))/\(((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3)))))))\/(((op (e3) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3)))))))))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e1)) = (e2))) -> (~((e1) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e1)) -> (~((e2) = (e3))) -> False). % 11.48/11.63 do 0 intro. intros zenon_H23c zenon_H69 zenon_H5c zenon_H161 zenon_H117 zenon_Hcb zenon_H226 zenon_H167 zenon_H1f3 zenon_H212 zenon_H65 zenon_H132 zenon_H113 zenon_H16e zenon_H26c zenon_H4c zenon_H26b zenon_H236 zenon_H13a zenon_Hb9 zenon_H19c zenon_He2 zenon_H192 zenon_Hfa zenon_H122 zenon_H242 zenon_H95 zenon_H263 zenon_H18b zenon_He3 zenon_H251 zenon_H1cb zenon_H1f0 zenon_H148 zenon_H27 zenon_Hb0 zenon_H1e2 zenon_H16c zenon_H11b zenon_H1aa zenon_Hc4 zenon_H92 zenon_H10e zenon_Hf3 zenon_Hfb zenon_H10b zenon_H203 zenon_Hb7 zenon_H18f zenon_H1b8 zenon_H71 zenon_H259 zenon_H1df zenon_H125 zenon_H12d zenon_H223 zenon_H101 zenon_H216 zenon_Had zenon_H222 zenon_H22e zenon_H1ca zenon_Hf6 zenon_H210 zenon_H1b0 zenon_H194 zenon_H141 zenon_H20 zenon_H49 zenon_Hc0 zenon_H61 zenon_H15a zenon_H157 zenon_H79 zenon_H8d zenon_H2b zenon_Hb8 zenon_H44 zenon_H34 zenon_H25 zenon_H16a zenon_H106 zenon_H68 zenon_H30 zenon_Hf0 zenon_H15d zenon_He5 zenon_H233 zenon_H90 zenon_H14f zenon_Hc8 zenon_H5a zenon_H105 zenon_H3c zenon_H2e zenon_H41. % 11.48/11.63 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ]. % 11.48/11.63 apply (zenon_L129_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ]. % 11.48/11.63 apply (zenon_L519_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ]. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.48/11.63 exact (zenon_H2b zenon_H26). % 11.48/11.63 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.48/11.63 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ]. % 11.48/11.63 exact (zenon_H2b zenon_H26). % 11.48/11.63 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ]. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.48/11.63 apply (zenon_L7_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.48/11.63 apply (zenon_L763_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.48/11.63 apply (zenon_L9_); trivial. % 11.48/11.63 apply (zenon_L872_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ]. % 11.48/11.63 apply (zenon_L553_); trivial. % 11.48/11.63 apply (zenon_L873_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.48/11.63 apply (zenon_L23_); trivial. % 11.48/11.63 apply (zenon_L770_); trivial. % 11.48/11.63 apply (zenon_L777_); trivial. % 11.48/11.63 (* end of lemma zenon_L874_ *) % 11.48/11.63 assert (zenon_L875_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((e0) = (e1))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e0)) -> False). % 11.48/11.63 do 0 intro. intros zenon_Hb9 zenon_H26b zenon_H20 zenon_H233 zenon_H13a zenon_H3f zenon_H141 zenon_H90 zenon_He3 zenon_Hf0 zenon_H15d zenon_Hc3. % 11.48/11.63 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H72 | zenon_intro zenon_Hbe ]. % 11.48/11.63 exact (zenon_H26b zenon_H72). % 11.48/11.63 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H7a | zenon_intro zenon_Hbf ]. % 11.48/11.63 apply (zenon_L38_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H96 | zenon_intro zenon_H9d ]. % 11.48/11.63 apply (zenon_L735_); trivial. % 11.48/11.63 apply (zenon_L548_); trivial. % 11.48/11.63 (* end of lemma zenon_L875_ *) % 11.48/11.63 assert (zenon_L876_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (((op (e2) (e2)) = (e2))/\(((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0)))/\(((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e0)) = (e1)) -> (~((e1) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e0)) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((e1) = (e2))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((e0) = (e1))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e0)) -> False). % 11.48/11.63 do 0 intro. intros zenon_H49 zenon_H27 zenon_H132 zenon_Hc0 zenon_H161 zenon_H4f zenon_H3c zenon_H15a zenon_H10b zenon_H1cb zenon_He5 zenon_H1f3 zenon_H1e zenon_H223 zenon_H68 zenon_H79 zenon_H148 zenon_H157 zenon_H14f zenon_H11b zenon_Hcb zenon_H30 zenon_H117 zenon_H105 zenon_Hb0 zenon_H41 zenon_H222 zenon_Had zenon_Hb1 zenon_H2b zenon_Hb8 zenon_H65 zenon_H5a zenon_Hb9 zenon_H26b zenon_H20 zenon_H233 zenon_H13a zenon_H141 zenon_H90 zenon_He3 zenon_Hf0 zenon_H15d zenon_Hc3. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.48/11.63 exact (zenon_H2b zenon_H26). % 11.48/11.63 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.48/11.63 apply (zenon_L791_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.48/11.63 apply (zenon_L23_); trivial. % 11.48/11.63 apply (zenon_L875_); trivial. % 11.48/11.63 (* end of lemma zenon_L876_ *) % 11.48/11.63 assert (zenon_L877_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e0)) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((e1) = (e2))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((e0) = (e1))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e0)) -> False). % 11.48/11.63 do 0 intro. intros zenon_H49 zenon_H2b zenon_H3c zenon_Hb0 zenon_H27 zenon_Had zenon_H15a zenon_H10b zenon_H1cb zenon_He5 zenon_H1f3 zenon_H222 zenon_H1e zenon_H223 zenon_H68 zenon_H79 zenon_H41 zenon_H148 zenon_Hc4 zenon_H6f zenon_H14f zenon_H30 zenon_H105 zenon_H65 zenon_H5a zenon_Hb9 zenon_H26b zenon_H20 zenon_H233 zenon_H13a zenon_H141 zenon_H90 zenon_He3 zenon_Hf0 zenon_H15d zenon_Hc3. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.48/11.63 exact (zenon_H2b zenon_H26). % 11.48/11.63 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.48/11.63 apply (zenon_L792_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.48/11.63 apply (zenon_L23_); trivial. % 11.48/11.63 apply (zenon_L875_); trivial. % 11.48/11.63 (* end of lemma zenon_L877_ *) % 11.48/11.63 assert (zenon_L878_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e0)) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e3) (e0)) = (e1)) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e2))) -> ((op (e0) (e2)) = (e1)) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((e0) = (e1))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e0)) -> False). % 11.48/11.63 do 0 intro. intros zenon_H49 zenon_H2b zenon_H3c zenon_Hb0 zenon_H27 zenon_H5a zenon_Had zenon_H15a zenon_H10b zenon_H1cb zenon_He5 zenon_H1f3 zenon_H222 zenon_H1e zenon_H223 zenon_H68 zenon_H79 zenon_H41 zenon_H148 zenon_H157 zenon_H14f zenon_H106 zenon_Hc8 zenon_H99 zenon_H105 zenon_H30 zenon_H2e zenon_Hb9 zenon_H26b zenon_H20 zenon_H233 zenon_H13a zenon_H141 zenon_H90 zenon_He3 zenon_Hf0 zenon_H15d zenon_Hc3. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.48/11.63 exact (zenon_H2b zenon_H26). % 11.48/11.63 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H1f | zenon_intro zenon_H107 ]. % 11.48/11.63 apply (zenon_L773_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H56 | zenon_intro zenon_H108 ]. % 11.48/11.63 apply (zenon_L247_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hc5 | zenon_intro zenon_He6 ]. % 11.48/11.63 apply (zenon_L376_); trivial. % 11.48/11.63 apply (zenon_L790_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.48/11.63 apply (zenon_L6_); trivial. % 11.48/11.63 apply (zenon_L875_); trivial. % 11.48/11.63 (* end of lemma zenon_L878_ *) % 11.48/11.63 assert (zenon_L879_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((e0) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e2)) -> ((op (e1) (e3)) = (e1)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e0)) -> False). % 11.48/11.63 do 0 intro. intros zenon_Hb9 zenon_H26b zenon_H27 zenon_H233 zenon_H141 zenon_H62 zenon_H90 zenon_He3 zenon_Hf0 zenon_H15d zenon_Hc3. % 11.48/11.63 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H72 | zenon_intro zenon_Hbe ]. % 11.48/11.63 exact (zenon_H26b zenon_H72). % 11.48/11.63 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H7a | zenon_intro zenon_Hbf ]. % 11.48/11.63 apply (zenon_L103_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H96 | zenon_intro zenon_H9d ]. % 11.48/11.63 apply (zenon_L638_); trivial. % 11.48/11.63 apply (zenon_L548_); trivial. % 11.48/11.63 (* end of lemma zenon_L879_ *) % 11.48/11.63 assert (zenon_L880_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e2) (e2)) = (e2))/\(((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0)))/\(((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((e2) = (e3))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e1) = (e3))) -> (~((op (e2) (e2)) = (e3))) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e1) = (e2))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((e0) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e0) = (e1))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> False). % 11.48/11.63 do 0 intro. intros zenon_H12d zenon_H1b8 zenon_H1d8 zenon_H212 zenon_H16a zenon_Hb7 zenon_H10e zenon_H161 zenon_H132 zenon_Hc4 zenon_H167 zenon_H226 zenon_H203 zenon_Hb0 zenon_H222 zenon_Had zenon_H117 zenon_Hcb zenon_H16c zenon_H11b zenon_H106 zenon_Hc8 zenon_He5 zenon_H4c zenon_H13a zenon_H65 zenon_Hb8 zenon_Hb1 zenon_H192 zenon_H41 zenon_H197 zenon_H8d zenon_H105 zenon_H14f zenon_H157 zenon_H1f3 zenon_H44 zenon_Hc0 zenon_H49 zenon_H13f zenon_H69 zenon_H3c zenon_He2 zenon_H34 zenon_Hf3 zenon_H30 zenon_H228 zenon_H22e zenon_H68 zenon_H5c zenon_H5a zenon_Hb9 zenon_H26b zenon_H27 zenon_H233 zenon_H141 zenon_He3 zenon_Hf0 zenon_H15d zenon_H15a zenon_H1ca zenon_H10b zenon_H79 zenon_H113 zenon_H20 zenon_Hd0 zenon_H61 zenon_H90. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H25 | zenon_intro zenon_H12e ]. % 11.48/11.63 apply (zenon_L221_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H57 | zenon_intro zenon_H12f ]. % 11.48/11.63 apply (zenon_L798_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H6e | zenon_intro zenon_Hc3 ]. % 11.48/11.63 apply (zenon_L805_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.48/11.63 apply (zenon_L160_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.48/11.63 apply (zenon_L809_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.48/11.63 apply (zenon_L23_); trivial. % 11.48/11.63 apply (zenon_L875_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ]. % 11.48/11.63 apply (zenon_L326_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ]. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H58 | zenon_intro zenon_H6a ]. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H2e | zenon_intro zenon_H22f ]. % 11.48/11.63 apply (zenon_L61_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H88 | zenon_intro zenon_H230 ]. % 11.48/11.63 apply (zenon_L391_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H11f | zenon_intro zenon_H1d9 ]. % 11.48/11.63 apply (zenon_L505_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H3b | zenon_intro zenon_Hf4 ]. % 11.48/11.63 apply (zenon_L59_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H89 | zenon_intro zenon_Hf5 ]. % 11.48/11.63 apply (zenon_L291_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_He1 | zenon_intro zenon_Hec ]. % 11.48/11.63 exact (zenon_He2 zenon_He1). % 11.48/11.63 apply (zenon_L273_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6c | zenon_intro zenon_H6b ]. % 11.48/11.63 exact (zenon_H68 zenon_H6c). % 11.48/11.63 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H5b | zenon_intro zenon_H62 ]. % 11.48/11.63 apply (zenon_L21_); trivial. % 11.48/11.63 apply (zenon_L879_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ]. % 11.48/11.63 apply (zenon_L293_); trivial. % 11.48/11.63 apply (zenon_L38_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.48/11.63 apply (zenon_L61_); trivial. % 11.48/11.63 apply (zenon_L127_); trivial. % 11.48/11.63 (* end of lemma zenon_L880_ *) % 11.48/11.63 assert (zenon_L881_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e0)) = (e1)) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> ((op (e0) (e3)) = (e2)) -> (~((e2) = (e3))) -> False). % 11.48/11.63 do 0 intro. intros zenon_H44 zenon_H3c zenon_H4f zenon_H34 zenon_H1e zenon_H101 zenon_Hec zenon_H3f zenon_H41. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.48/11.63 apply (zenon_L58_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.48/11.63 apply (zenon_L8_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.48/11.63 apply (zenon_L80_); trivial. % 11.48/11.63 apply (zenon_L11_); trivial. % 11.48/11.63 (* end of lemma zenon_L881_ *) % 11.48/11.63 assert (zenon_L882_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e0)) = (e0)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (e2))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((e1) = (e2))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e1)) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e1)) -> (~((e2) = (e3))) -> False). % 11.48/11.63 do 0 intro. intros zenon_H49 zenon_H2b zenon_H79 zenon_H10b zenon_H1f3 zenon_H1ca zenon_H57 zenon_H15a zenon_H157 zenon_H68 zenon_H90 zenon_H14f zenon_H30 zenon_H105 zenon_H65 zenon_H5a zenon_H44 zenon_H4f zenon_H34 zenon_H1e zenon_H3c zenon_H2e zenon_H41. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.48/11.63 exact (zenon_H2b zenon_H26). % 11.48/11.63 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.48/11.63 apply (zenon_L784_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.48/11.63 apply (zenon_L23_); trivial. % 11.48/11.63 apply (zenon_L627_); trivial. % 11.48/11.63 (* end of lemma zenon_L882_ *) % 11.48/11.63 assert (zenon_L883_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e1) = (e2))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e0)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e2) = (e3))) -> False). % 11.48/11.63 do 0 intro. intros zenon_H49 zenon_H2b zenon_H30 zenon_H105 zenon_H14f zenon_H106 zenon_H1f3 zenon_H1ca zenon_H57 zenon_Hc8 zenon_H5a zenon_H148 zenon_H34 zenon_H233 zenon_H13a zenon_H141 zenon_H90 zenon_He3 zenon_Hf0 zenon_H6f zenon_Hcb zenon_H1e zenon_H11b zenon_H20 zenon_H79 zenon_H68 zenon_H157 zenon_H10b zenon_H15a zenon_H2e zenon_H65 zenon_H117 zenon_Hfa zenon_H41. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.48/11.63 exact (zenon_H2b zenon_H26). % 11.48/11.63 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.48/11.63 apply (zenon_L784_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.48/11.63 apply (zenon_L6_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H1f | zenon_intro zenon_H107 ]. % 11.48/11.63 apply (zenon_L2_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H56 | zenon_intro zenon_H108 ]. % 11.48/11.63 apply (zenon_L247_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hc5 | zenon_intro zenon_He6 ]. % 11.48/11.63 apply (zenon_L398_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H2c | zenon_intro zenon_H109 ]. % 11.48/11.63 apply (zenon_L783_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H6c | zenon_intro zenon_H10a ]. % 11.48/11.63 exact (zenon_H68 zenon_H6c). % 11.48/11.63 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Ha4 ]. % 11.48/11.63 apply (zenon_L54_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H39 | zenon_intro zenon_H149 ]. % 11.48/11.63 apply (zenon_L8_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H78 | zenon_intro zenon_H14a ]. % 11.48/11.63 exact (zenon_H79 zenon_H78). % 11.48/11.63 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H145 | zenon_intro zenon_H147 ]. % 11.48/11.63 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H6e | zenon_intro zenon_Hfc ]. % 11.48/11.63 apply (zenon_L821_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hfd ]. % 11.48/11.63 apply (zenon_L55_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hce | zenon_intro zenon_H96 ]. % 11.48/11.63 apply (zenon_L174_); trivial. % 11.48/11.63 apply (zenon_L735_); trivial. % 11.48/11.63 apply (zenon_L609_); trivial. % 11.48/11.63 (* end of lemma zenon_L883_ *) % 11.48/11.63 assert (zenon_L884_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e0)) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (e3))) -> (~((e0) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((e0) = (e1))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> False). % 11.48/11.63 do 0 intro. intros zenon_H12d zenon_H1e2 zenon_H61 zenon_Hb7 zenon_H3c zenon_H44 zenon_Hfa zenon_Hcb zenon_H1ca zenon_H105 zenon_Hc8 zenon_H14f zenon_H41 zenon_H122 zenon_H106 zenon_H16a zenon_H101 zenon_H4c zenon_H117 zenon_H30 zenon_H157 zenon_H11b zenon_H49 zenon_H2b zenon_H1d8 zenon_Hec zenon_Hb0 zenon_H27 zenon_Had zenon_H15a zenon_H10b zenon_H1cb zenon_He5 zenon_H1f3 zenon_H222 zenon_H1e zenon_H223 zenon_H68 zenon_H79 zenon_H34 zenon_H148 zenon_H65 zenon_H5a zenon_Hb9 zenon_H26b zenon_H20 zenon_H233 zenon_H13a zenon_H141 zenon_H90 zenon_He3 zenon_Hf0 zenon_H15d. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H25 | zenon_intro zenon_H12e ]. % 11.48/11.63 apply (zenon_L824_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H57 | zenon_intro zenon_H12f ]. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.48/11.63 exact (zenon_H2b zenon_H26). % 11.48/11.63 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.48/11.63 apply (zenon_L784_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.48/11.63 apply (zenon_L23_); trivial. % 11.48/11.63 apply (zenon_L881_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.48/11.63 apply (zenon_L326_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.48/11.63 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ]. % 11.48/11.63 apply (zenon_L882_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ]. % 11.48/11.63 apply (zenon_L623_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ]. % 11.48/11.63 apply (zenon_L883_); trivial. % 11.48/11.63 apply (zenon_L823_); trivial. % 11.48/11.63 apply (zenon_L127_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H6e | zenon_intro zenon_Hc3 ]. % 11.48/11.63 apply (zenon_L785_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.48/11.63 exact (zenon_H2b zenon_H26). % 11.48/11.63 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.48/11.63 apply (zenon_L825_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.48/11.63 apply (zenon_L23_); trivial. % 11.48/11.63 apply (zenon_L875_); trivial. % 11.48/11.63 (* end of lemma zenon_L884_ *) % 11.48/11.63 assert (zenon_L885_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e1))) -> (~((e1) = (e2))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))\/((((op (e1) (e1)) = (e1))/\(((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0)))/\(((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1)))/\(((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2)))/\((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3)))))))\/((((op (e2) (e2)) = (e2))/\(((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0)))/\(((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3)))))))\/(((op (e3) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3)))))))))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> False). % 11.48/11.63 do 0 intro. intros zenon_H1a2 zenon_H187 zenon_H1d8 zenon_H197 zenon_H20 zenon_H30 zenon_H65 zenon_H34 zenon_H161 zenon_H14f zenon_H8d zenon_H226 zenon_Hcb zenon_H117 zenon_H167 zenon_H157 zenon_H15a zenon_H79 zenon_H212 zenon_H1f3 zenon_H105 zenon_H3c zenon_H41 zenon_Hb8 zenon_Hc8 zenon_H113 zenon_H61 zenon_H5c zenon_H26c zenon_H4c zenon_H236 zenon_H13a zenon_Hb9 zenon_H19c zenon_He2 zenon_H192 zenon_Hc0 zenon_Hfa zenon_H122 zenon_H242 zenon_H95 zenon_H263 zenon_H18b zenon_He5 zenon_H251 zenon_H1cb zenon_H1f0 zenon_H148 zenon_Hb0 zenon_H1e2 zenon_H16c zenon_H11b zenon_H1aa zenon_Hc4 zenon_H49 zenon_H92 zenon_H15d zenon_H10e zenon_H16e zenon_Hf3 zenon_Hfb zenon_H203 zenon_H44 zenon_Hb7 zenon_H18f zenon_H1b8 zenon_H106 zenon_H71 zenon_H259 zenon_H1df zenon_H125 zenon_H12d zenon_H223 zenon_H101 zenon_H16a zenon_H216 zenon_Had zenon_H222 zenon_H22e zenon_Hf6 zenon_H210 zenon_H1b0 zenon_H194 zenon_He3 zenon_H141 zenon_Hf0 zenon_H27 zenon_H26b zenon_H69 zenon_H1ca zenon_H10b zenon_H228 zenon_H245 zenon_H13f zenon_H90 zenon_H23c zenon_H233. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H51 | zenon_intro zenon_H1b1 ]. % 11.48/11.63 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H25. zenon_intro zenon_H52. % 11.48/11.63 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H1f7. zenon_intro zenon_H1f6. % 11.48/11.63 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H1f9. zenon_intro zenon_H1f8. % 11.48/11.63 apply (zenon_and_s _ _ zenon_H1f8). zenon_intro zenon_H1fb. zenon_intro zenon_H1fa. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H207 | zenon_intro zenon_H6d ]. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_Hcf | zenon_intro zenon_Hb5 ]. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H9e | zenon_intro zenon_H15e ]. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.48/11.63 apply (zenon_L129_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.48/11.63 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ]. % 11.48/11.63 apply (zenon_L129_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ]. % 11.48/11.63 apply (zenon_L519_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ]. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.48/11.63 apply (zenon_L3_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.48/11.63 apply (zenon_L211_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.48/11.63 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ]. % 11.48/11.63 apply (zenon_L3_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ]. % 11.48/11.63 apply (zenon_L637_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ]. % 11.48/11.63 apply (zenon_L862_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.48/11.63 apply (zenon_L7_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.48/11.63 apply (zenon_L130_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.48/11.63 apply (zenon_L13_); trivial. % 11.48/11.63 apply (zenon_L863_); trivial. % 11.48/11.63 apply (zenon_L865_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.48/11.63 apply (zenon_L3_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.48/11.63 apply (zenon_L211_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.48/11.63 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ]. % 11.48/11.63 apply (zenon_L3_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ]. % 11.48/11.63 apply (zenon_L637_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ]. % 11.48/11.63 apply (zenon_L861_); trivial. % 11.48/11.63 apply (zenon_L41_); trivial. % 11.48/11.63 apply (zenon_L865_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.48/11.63 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ]. % 11.48/11.63 apply (zenon_L129_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ]. % 11.48/11.63 apply (zenon_L519_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ]. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.48/11.63 apply (zenon_L3_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.48/11.63 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ]. % 11.48/11.63 apply (zenon_L3_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ]. % 11.48/11.63 apply (zenon_L742_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ]. % 11.48/11.63 apply (zenon_L108_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.48/11.63 apply (zenon_L7_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.48/11.63 apply (zenon_L65_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.48/11.63 apply (zenon_L9_); trivial. % 11.48/11.63 apply (zenon_L863_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.48/11.63 apply (zenon_L6_); trivial. % 11.48/11.63 apply (zenon_L750_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.48/11.63 apply (zenon_L3_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.48/11.63 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ]. % 11.48/11.63 apply (zenon_L3_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ]. % 11.48/11.63 apply (zenon_L742_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ]. % 11.48/11.63 apply (zenon_L866_); trivial. % 11.48/11.63 apply (zenon_L41_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.48/11.63 apply (zenon_L6_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ]. % 11.48/11.63 apply (zenon_L3_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ]. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.48/11.63 apply (zenon_L7_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ]. % 11.48/11.63 apply (zenon_L298_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ]. % 11.48/11.63 exact (zenon_H207 zenon_H10c). % 11.48/11.63 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ]. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H1e | zenon_intro zenon_H204 ]. % 11.48/11.63 apply (zenon_L8_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H10c | zenon_intro zenon_H205 ]. % 11.48/11.63 exact (zenon_H207 zenon_H10c). % 11.48/11.63 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_Hcc | zenon_intro zenon_H120 ]. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H2c | zenon_intro zenon_H109 ]. % 11.48/11.63 apply (zenon_L742_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H6c | zenon_intro zenon_H10a ]. % 11.48/11.63 apply (zenon_L867_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Ha4 ]. % 11.48/11.63 apply (zenon_L164_); trivial. % 11.48/11.63 apply (zenon_L738_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H1f | zenon_intro zenon_H107 ]. % 11.48/11.63 apply (zenon_L130_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H56 | zenon_intro zenon_H108 ]. % 11.48/11.63 apply (zenon_L247_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hc5 | zenon_intro zenon_He6 ]. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H2c | zenon_intro zenon_H109 ]. % 11.48/11.63 apply (zenon_L65_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H6c | zenon_intro zenon_H10a ]. % 11.48/11.63 apply (zenon_L867_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Ha4 ]. % 11.48/11.63 apply (zenon_L95_); trivial. % 11.48/11.63 apply (zenon_L98_); trivial. % 11.48/11.63 apply (zenon_L146_); trivial. % 11.48/11.63 apply (zenon_L38_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.48/11.63 apply (zenon_L9_); trivial. % 11.48/11.63 apply (zenon_L636_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ]. % 11.48/11.63 apply (zenon_L752_); trivial. % 11.48/11.63 apply (zenon_L41_); trivial. % 11.48/11.63 apply (zenon_L127_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.48/11.63 apply (zenon_L129_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.48/11.63 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ]. % 11.48/11.63 apply (zenon_L129_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ]. % 11.48/11.63 apply (zenon_L519_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ]. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.48/11.63 apply (zenon_L3_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.48/11.63 apply (zenon_L211_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.48/11.63 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ]. % 11.48/11.63 apply (zenon_L3_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ]. % 11.48/11.63 apply (zenon_L637_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ]. % 11.48/11.63 apply (zenon_L862_); trivial. % 11.48/11.63 apply (zenon_L302_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ]. % 11.48/11.63 apply (zenon_L3_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ]. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.48/11.63 apply (zenon_L478_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.48/11.63 apply (zenon_L130_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ]. % 11.48/11.63 apply (zenon_L298_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ]. % 11.48/11.63 exact (zenon_H207 zenon_H10c). % 11.48/11.63 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ]. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H1e | zenon_intro zenon_H204 ]. % 11.48/11.63 apply (zenon_L2_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H10c | zenon_intro zenon_H205 ]. % 11.48/11.63 exact (zenon_H207 zenon_H10c). % 11.48/11.63 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_Hcc | zenon_intro zenon_H120 ]. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H75 | zenon_intro zenon_H8e ]. % 11.48/11.63 apply (zenon_L299_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H78 | zenon_intro zenon_H8f ]. % 11.48/11.63 exact (zenon_H79 zenon_H78). % 11.48/11.63 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H8b ]. % 11.48/11.63 apply (zenon_L119_); trivial. % 11.48/11.63 apply (zenon_L869_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H2c | zenon_intro zenon_H109 ]. % 11.48/11.63 apply (zenon_L211_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H6c | zenon_intro zenon_H10a ]. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H75 | zenon_intro zenon_H8e ]. % 11.48/11.63 apply (zenon_L346_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H78 | zenon_intro zenon_H8f ]. % 11.48/11.63 exact (zenon_H79 zenon_H78). % 11.48/11.63 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H8b ]. % 11.48/11.63 apply (zenon_L69_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H6e | zenon_intro zenon_Hfc ]. % 11.48/11.63 apply (zenon_L624_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hfd ]. % 11.48/11.63 apply (zenon_L869_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hce | zenon_intro zenon_H96 ]. % 11.48/11.63 exact (zenon_Hcf zenon_Hce). % 11.48/11.63 apply (zenon_L735_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Ha4 ]. % 11.48/11.63 apply (zenon_L747_); trivial. % 11.48/11.63 apply (zenon_L98_); trivial. % 11.48/11.63 apply (zenon_L758_); trivial. % 11.48/11.63 apply (zenon_L636_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ]. % 11.48/11.63 apply (zenon_L862_); trivial. % 11.48/11.63 apply (zenon_L749_); trivial. % 11.48/11.63 apply (zenon_L196_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.48/11.63 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ]. % 11.48/11.63 apply (zenon_L129_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ]. % 11.48/11.63 apply (zenon_L519_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ]. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.48/11.63 apply (zenon_L3_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.48/11.63 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ]. % 11.48/11.63 apply (zenon_L3_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ]. % 11.48/11.63 apply (zenon_L742_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ]. % 11.48/11.63 apply (zenon_L870_); trivial. % 11.48/11.63 apply (zenon_L302_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.48/11.63 apply (zenon_L6_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ]. % 11.48/11.63 apply (zenon_L3_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ]. % 11.48/11.63 apply (zenon_L748_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ]. % 11.48/11.63 apply (zenon_L870_); trivial. % 11.48/11.63 apply (zenon_L749_); trivial. % 11.48/11.63 apply (zenon_L196_); trivial. % 11.48/11.63 apply (zenon_L127_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.48/11.63 apply (zenon_L129_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.48/11.63 apply (zenon_L862_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.48/11.63 apply (zenon_L870_); trivial. % 11.48/11.63 apply (zenon_L127_); trivial. % 11.48/11.63 apply (zenon_L519_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H53 | zenon_intro zenon_H1b2 ]. % 11.48/11.63 apply (zenon_L759_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H132 | zenon_intro zenon_H15f ]. % 11.48/11.63 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H5a. zenon_intro zenon_H133. % 11.48/11.63 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H135. zenon_intro zenon_H134. % 11.48/11.63 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H137. zenon_intro zenon_H136. % 11.48/11.63 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_H139. zenon_intro zenon_H138. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H2b | zenon_intro zenon_Hd0 ]. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H68 | zenon_intro zenon_H88 ]. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hec ]. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H25 | zenon_intro zenon_H190 ]. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.48/11.63 apply (zenon_L129_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.48/11.63 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ]. % 11.48/11.63 apply (zenon_L129_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ]. % 11.48/11.63 apply (zenon_L519_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ]. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.48/11.63 exact (zenon_H2b zenon_H26). % 11.48/11.63 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.48/11.63 apply (zenon_L211_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.48/11.63 apply (zenon_L23_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ]. % 11.48/11.63 exact (zenon_H2b zenon_H26). % 11.48/11.63 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ]. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.48/11.63 apply (zenon_L7_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.48/11.63 apply (zenon_L763_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H75 | zenon_intro zenon_H8e ]. % 11.48/11.63 apply (zenon_L31_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H78 | zenon_intro zenon_H8f ]. % 11.48/11.63 exact (zenon_H79 zenon_H78). % 11.48/11.63 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H8b ]. % 11.48/11.63 apply (zenon_L119_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H2e | zenon_intro zenon_H22f ]. % 11.48/11.63 apply (zenon_L874_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H88 | zenon_intro zenon_H230 ]. % 11.48/11.63 apply (zenon_L391_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H11f | zenon_intro zenon_H1d9 ]. % 11.48/11.63 apply (zenon_L505_); trivial. % 11.48/11.63 apply (zenon_L868_); trivial. % 11.48/11.63 apply (zenon_L11_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ]. % 11.48/11.63 apply (zenon_L108_); trivial. % 11.48/11.63 apply (zenon_L769_); trivial. % 11.48/11.63 apply (zenon_L773_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.48/11.63 apply (zenon_L874_); trivial. % 11.48/11.63 apply (zenon_L127_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H1e | zenon_intro zenon_H191 ]. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H25 | zenon_intro zenon_H12e ]. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.48/11.63 apply (zenon_L129_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.48/11.63 apply (zenon_L2_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.48/11.63 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ]. % 11.48/11.63 apply (zenon_L129_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ]. % 11.48/11.63 apply (zenon_L519_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ]. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.48/11.63 exact (zenon_H2b zenon_H26). % 11.48/11.63 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.48/11.63 apply (zenon_L7_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.48/11.63 apply (zenon_L8_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.48/11.63 apply (zenon_L9_); trivial. % 11.48/11.63 apply (zenon_L872_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.48/11.63 apply (zenon_L6_); trivial. % 11.48/11.63 apply (zenon_L770_); trivial. % 11.48/11.63 apply (zenon_L777_); trivial. % 11.48/11.63 apply (zenon_L127_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H57 | zenon_intro zenon_H12f ]. % 11.48/11.63 apply (zenon_L787_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H6e | zenon_intro zenon_Hc3 ]. % 11.48/11.63 apply (zenon_L785_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.48/11.63 apply (zenon_L876_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.48/11.63 apply (zenon_L2_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.48/11.63 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ]. % 11.48/11.63 apply (zenon_L876_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ]. % 11.48/11.63 apply (zenon_L623_); trivial. % 11.48/11.63 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ]. % 11.48/11.64 apply (zenon_L877_); trivial. % 11.48/11.64 apply (zenon_L878_); trivial. % 11.48/11.64 apply (zenon_L127_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H72 ]. % 11.48/11.64 apply (zenon_L880_); trivial. % 11.48/11.64 exact (zenon_H26b zenon_H72). % 11.48/11.64 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H25 | zenon_intro zenon_H190 ]. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.48/11.64 apply (zenon_L129_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.48/11.64 apply (zenon_L814_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.48/11.64 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ]. % 11.48/11.64 apply (zenon_L129_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ]. % 11.48/11.64 apply (zenon_L819_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ]. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.48/11.64 exact (zenon_H2b zenon_H26). % 11.48/11.64 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.48/11.64 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ]. % 11.48/11.64 exact (zenon_H2b zenon_H26). % 11.48/11.64 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ]. % 11.48/11.64 apply (zenon_L812_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ]. % 11.48/11.64 apply (zenon_L108_); trivial. % 11.48/11.64 apply (zenon_L873_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.48/11.64 apply (zenon_L6_); trivial. % 11.48/11.64 apply (zenon_L770_); trivial. % 11.48/11.64 apply (zenon_L820_); trivial. % 11.48/11.64 apply (zenon_L127_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H1e | zenon_intro zenon_H191 ]. % 11.48/11.64 apply (zenon_L884_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H72 ]. % 11.48/11.64 apply (zenon_L827_); trivial. % 11.48/11.64 exact (zenon_H26b zenon_H72). % 11.48/11.64 apply (zenon_L391_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H68 | zenon_intro zenon_H88 ]. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hec ]. % 11.48/11.64 apply (zenon_L880_); trivial. % 11.48/11.64 apply (zenon_L827_); trivial. % 11.48/11.64 apply (zenon_L391_); trivial. % 11.48/11.64 apply (zenon_L456_); trivial. % 11.48/11.64 (* end of lemma zenon_L885_ *) % 11.48/11.64 assert (zenon_L886_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((e0) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e2)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e3)) -> False). % 11.48/11.64 do 0 intro. intros zenon_Hb9 zenon_H26b zenon_H27 zenon_H233 zenon_H141 zenon_H62 zenon_Hf0 zenon_H194 zenon_He3 zenon_H90 zenon_H117 zenon_H26a zenon_H16e zenon_H40. % 11.48/11.64 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H72 | zenon_intro zenon_Hbe ]. % 11.48/11.64 exact (zenon_H26b zenon_H72). % 11.48/11.64 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H7a | zenon_intro zenon_Hbf ]. % 11.48/11.64 apply (zenon_L103_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H96 | zenon_intro zenon_H9d ]. % 11.48/11.64 apply (zenon_L638_); trivial. % 11.48/11.64 apply (zenon_L831_); trivial. % 11.48/11.64 (* end of lemma zenon_L886_ *) % 11.48/11.64 assert (zenon_L887_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e1) (e0)) = (e3)) -> ((op (e1) (e2)) = (e0)) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((e0) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e3)) -> False). % 11.48/11.64 do 0 intro. intros zenon_H69 zenon_H41 zenon_H75 zenon_He0 zenon_Hb9 zenon_H26b zenon_H27 zenon_H233 zenon_H141 zenon_Hf0 zenon_H194 zenon_He3 zenon_H90 zenon_H117 zenon_H26a zenon_H16e zenon_H40. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H58 | zenon_intro zenon_H6a ]. % 11.48/11.64 apply (zenon_L31_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6c | zenon_intro zenon_H6b ]. % 11.48/11.64 apply (zenon_L346_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H5b | zenon_intro zenon_H62 ]. % 11.48/11.64 apply (zenon_L347_); trivial. % 11.48/11.64 apply (zenon_L886_); trivial. % 11.48/11.64 (* end of lemma zenon_L887_ *) % 11.48/11.64 assert (zenon_L888_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e1) (e1)) = (e0))) -> ((op (e0) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((e0) = (e3))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((e0) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e1))) -> False). % 11.48/11.64 do 0 intro. intros zenon_H113 zenon_H25 zenon_H187 zenon_H207 zenon_H40 zenon_H61 zenon_H34 zenon_H79 zenon_H69 zenon_H41 zenon_Hb9 zenon_H26b zenon_H27 zenon_H233 zenon_H141 zenon_Hf0 zenon_H194 zenon_He3 zenon_H117 zenon_H26a zenon_H16e zenon_H8d zenon_H90 zenon_H20. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ]. % 11.48/11.64 apply (zenon_L298_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ]. % 11.48/11.64 exact (zenon_H207 zenon_H10c). % 11.48/11.64 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ]. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H75 | zenon_intro zenon_H8e ]. % 11.48/11.64 apply (zenon_L887_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H78 | zenon_intro zenon_H8f ]. % 11.48/11.64 exact (zenon_H79 zenon_H78). % 11.48/11.64 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H8b ]. % 11.48/11.64 apply (zenon_L69_); trivial. % 11.48/11.64 apply (zenon_L634_); trivial. % 11.48/11.64 apply (zenon_L38_); trivial. % 11.48/11.64 (* end of lemma zenon_L888_ *) % 11.48/11.64 assert (zenon_L889_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e1)) -> ((op (e0) (e2)) = (e2)) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((e0) = (e3))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((e0) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e1))) -> False). % 11.48/11.64 do 0 intro. intros zenon_H44 zenon_H3c zenon_H1f zenon_H2f zenon_H113 zenon_H25 zenon_H187 zenon_H207 zenon_H61 zenon_H34 zenon_H79 zenon_H69 zenon_H41 zenon_Hb9 zenon_H26b zenon_H27 zenon_H233 zenon_H141 zenon_Hf0 zenon_H194 zenon_He3 zenon_H117 zenon_H26a zenon_H16e zenon_H8d zenon_H90 zenon_H20. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.48/11.64 apply (zenon_L7_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.48/11.64 apply (zenon_L130_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.48/11.64 apply (zenon_L13_); trivial. % 11.48/11.64 apply (zenon_L888_); trivial. % 11.48/11.64 (* end of lemma zenon_L889_ *) % 11.48/11.64 assert (zenon_L890_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((e0) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e3)) -> False). % 11.48/11.64 do 0 intro. intros zenon_Hb9 zenon_H26b zenon_H34 zenon_H233 zenon_H13a zenon_H3f zenon_H141 zenon_Hf0 zenon_H194 zenon_He3 zenon_H90 zenon_H26a zenon_H117 zenon_H8b. % 11.48/11.64 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H72 | zenon_intro zenon_Hbe ]. % 11.48/11.64 exact (zenon_H26b zenon_H72). % 11.48/11.64 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H7a | zenon_intro zenon_Hbf ]. % 11.48/11.64 apply (zenon_L36_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H96 | zenon_intro zenon_H9d ]. % 11.48/11.64 apply (zenon_L735_); trivial. % 11.48/11.64 apply (zenon_L838_); trivial. % 11.48/11.64 (* end of lemma zenon_L890_ *) % 11.48/11.64 assert (zenon_L891_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (~((e0) = (e3))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (e3))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e1))) -> False). % 11.48/11.64 do 0 intro. intros zenon_H113 zenon_H25 zenon_H187 zenon_H207 zenon_H117 zenon_H26a zenon_He3 zenon_H194 zenon_Hf0 zenon_H141 zenon_H3f zenon_H13a zenon_H233 zenon_H34 zenon_H26b zenon_Hb9 zenon_H79 zenon_H15e zenon_H212 zenon_H8d zenon_H90 zenon_H20. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ]. % 11.48/11.64 apply (zenon_L298_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ]. % 11.48/11.64 exact (zenon_H207 zenon_H10c). % 11.48/11.64 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ]. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H75 | zenon_intro zenon_H8e ]. % 11.48/11.64 apply (zenon_L299_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H78 | zenon_intro zenon_H8f ]. % 11.48/11.64 exact (zenon_H79 zenon_H78). % 11.48/11.64 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H8b ]. % 11.48/11.64 apply (zenon_L69_); trivial. % 11.48/11.64 apply (zenon_L890_); trivial. % 11.48/11.64 apply (zenon_L38_); trivial. % 11.48/11.64 (* end of lemma zenon_L891_ *) % 11.48/11.64 assert (zenon_L892_ : (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e0)) = (e0)) -> (~((e0) = (e1))) -> ((op (e1) (e3)) = (e1)) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e1) (e1)) = (e0))) -> (~((e0) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e1)) -> (~((e2) = (e3))) -> False). % 11.48/11.64 do 0 intro. intros zenon_Hb8 zenon_H8d zenon_H212 zenon_H79 zenon_Hb9 zenon_H26b zenon_H233 zenon_H13a zenon_H141 zenon_Hf0 zenon_H194 zenon_He3 zenon_H26a zenon_H117 zenon_H187 zenon_H30 zenon_H161 zenon_H25 zenon_H20 zenon_H90 zenon_H69 zenon_H27 zenon_H61 zenon_H3f zenon_H207 zenon_H34 zenon_H113 zenon_H3c zenon_H6f zenon_H41. % 11.48/11.64 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ]. % 11.48/11.64 apply (zenon_L3_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ]. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ]. % 11.48/11.64 apply (zenon_L7_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ]. % 11.48/11.64 apply (zenon_L31_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ]. % 11.48/11.64 apply (zenon_L136_); trivial. % 11.48/11.64 apply (zenon_L891_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ]. % 11.48/11.64 apply (zenon_L108_); trivial. % 11.48/11.64 apply (zenon_L749_); trivial. % 11.48/11.64 (* end of lemma zenon_L892_ *) % 11.48/11.64 assert (zenon_L893_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e1) (e1)) = (e2)) -> (~((op (e1) (e1)) = (e3))) -> ((op (e1) (e2)) = (e0)) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((e0) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False). % 11.48/11.64 do 0 intro. intros zenon_H8d zenon_H6c zenon_H79 zenon_He0 zenon_Hb9 zenon_H26b zenon_H34 zenon_H233 zenon_H13a zenon_H3f zenon_H141 zenon_Hf0 zenon_H194 zenon_He3 zenon_H90 zenon_H26a zenon_H117. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H75 | zenon_intro zenon_H8e ]. % 11.48/11.64 apply (zenon_L346_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H78 | zenon_intro zenon_H8f ]. % 11.48/11.64 exact (zenon_H79 zenon_H78). % 11.48/11.64 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H8b ]. % 11.48/11.64 apply (zenon_L69_); trivial. % 11.48/11.64 apply (zenon_L890_); trivial. % 11.48/11.64 (* end of lemma zenon_L893_ *) % 11.48/11.64 assert (zenon_L894_ : (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (e2))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (~((e0) = (e3))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (e3))) -> ((op (e1) (e1)) = (e2)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e0)) -> False). % 11.48/11.64 do 0 intro. intros zenon_Hfb zenon_H1b8 zenon_H25 zenon_H117 zenon_H26a zenon_H90 zenon_He3 zenon_H194 zenon_Hf0 zenon_H141 zenon_H3f zenon_H13a zenon_H233 zenon_H34 zenon_H26b zenon_Hb9 zenon_H79 zenon_H6c zenon_H8d zenon_Hcf zenon_H1d8 zenon_H120. % 11.48/11.64 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hd0 | zenon_intro zenon_Hfe ]. % 11.48/11.64 apply (zenon_L221_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_He0 | zenon_intro zenon_Hff ]. % 11.48/11.64 apply (zenon_L893_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Hce | zenon_intro zenon_Hf7 ]. % 11.48/11.64 exact (zenon_Hcf zenon_Hce). % 11.48/11.64 apply (zenon_L254_); trivial. % 11.48/11.64 (* end of lemma zenon_L894_ *) % 11.48/11.64 assert (zenon_L895_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e1) (e0)) = (e3)) -> ((op (e3) (e1)) = (e0)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((e0) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e0) = (e2))) -> ((op (e1) (e2)) = (e0)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e2)) -> False). % 11.48/11.64 do 0 intro. intros zenon_H69 zenon_H41 zenon_H75 zenon_H120 zenon_H1d8 zenon_Hcf zenon_H8d zenon_H79 zenon_Hb9 zenon_H26b zenon_H34 zenon_H233 zenon_H13a zenon_H141 zenon_Hf0 zenon_H194 zenon_He3 zenon_H90 zenon_H26a zenon_H117 zenon_H25 zenon_H1b8 zenon_Hfb zenon_H27 zenon_He0 zenon_H61 zenon_H3f. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H58 | zenon_intro zenon_H6a ]. % 11.48/11.64 apply (zenon_L31_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6c | zenon_intro zenon_H6b ]. % 11.48/11.64 apply (zenon_L894_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H5b | zenon_intro zenon_H62 ]. % 11.48/11.64 apply (zenon_L347_); trivial. % 11.48/11.64 apply (zenon_L22_); trivial. % 11.48/11.64 (* end of lemma zenon_L895_ *) % 11.48/11.64 assert (zenon_L896_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e1) (e0)) = (e3)) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e2)) = (e0)) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((e0) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e3)) -> False). % 11.48/11.64 do 0 intro. intros zenon_H69 zenon_H41 zenon_H75 zenon_H2c zenon_H10b zenon_He0 zenon_Hb9 zenon_H26b zenon_H27 zenon_H233 zenon_H141 zenon_Hf0 zenon_H194 zenon_He3 zenon_H90 zenon_H117 zenon_H26a zenon_H16e zenon_H40. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H58 | zenon_intro zenon_H6a ]. % 11.48/11.64 apply (zenon_L31_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6c | zenon_intro zenon_H6b ]. % 11.48/11.64 apply (zenon_L353_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H5b | zenon_intro zenon_H62 ]. % 11.48/11.64 apply (zenon_L347_); trivial. % 11.48/11.64 apply (zenon_L886_); trivial. % 11.48/11.64 (* end of lemma zenon_L896_ *) % 11.48/11.64 assert (zenon_L897_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e1) (e1)) = (e0))) -> ((op (e0) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((e0) = (e3))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((e0) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e1))) -> False). % 11.48/11.64 do 0 intro. intros zenon_H113 zenon_H25 zenon_H187 zenon_H207 zenon_H40 zenon_H61 zenon_H34 zenon_H79 zenon_H69 zenon_H41 zenon_H2c zenon_H10b zenon_Hb9 zenon_H26b zenon_H27 zenon_H233 zenon_H141 zenon_Hf0 zenon_H194 zenon_He3 zenon_H117 zenon_H26a zenon_H16e zenon_H8d zenon_H90 zenon_H20. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ]. % 11.48/11.64 apply (zenon_L298_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ]. % 11.48/11.64 exact (zenon_H207 zenon_H10c). % 11.48/11.64 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ]. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H75 | zenon_intro zenon_H8e ]. % 11.48/11.64 apply (zenon_L896_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H78 | zenon_intro zenon_H8f ]. % 11.48/11.64 exact (zenon_H79 zenon_H78). % 11.48/11.64 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H8b ]. % 11.48/11.64 apply (zenon_L69_); trivial. % 11.48/11.64 apply (zenon_L634_); trivial. % 11.48/11.64 apply (zenon_L38_); trivial. % 11.48/11.64 (* end of lemma zenon_L897_ *) % 11.48/11.64 assert (zenon_L898_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e1)) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((e0) = (e3))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((e0) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e1))) -> False). % 11.48/11.64 do 0 intro. intros zenon_H44 zenon_H3c zenon_H2e zenon_H113 zenon_H25 zenon_H187 zenon_H207 zenon_H61 zenon_H34 zenon_H79 zenon_H69 zenon_H41 zenon_H2c zenon_H10b zenon_Hb9 zenon_H26b zenon_H27 zenon_H233 zenon_H141 zenon_Hf0 zenon_H194 zenon_He3 zenon_H117 zenon_H26a zenon_H16e zenon_H8d zenon_H90 zenon_H20. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.48/11.64 apply (zenon_L7_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.48/11.64 apply (zenon_L65_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.48/11.64 apply (zenon_L9_); trivial. % 11.48/11.64 apply (zenon_L897_); trivial. % 11.48/11.64 (* end of lemma zenon_L898_ *) % 11.48/11.64 assert (zenon_L899_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e0) (e1)) = (e1)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e0)) = (e0)) -> (~((e0) = (e1))) -> ((op (e1) (e3)) = (e1)) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((e0) = (e2))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e1)) = (e0))) -> (~((e0) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e2)) -> (~((e1) = (e3))) -> False). % 11.48/11.64 do 0 intro. intros zenon_Hb7 zenon_H23c zenon_H49 zenon_H30 zenon_H16e zenon_H26a zenon_H117 zenon_He3 zenon_H194 zenon_Hf0 zenon_H141 zenon_H233 zenon_H26b zenon_Hb9 zenon_H1f zenon_H44 zenon_H161 zenon_H25 zenon_H20 zenon_H90 zenon_H69 zenon_H16c zenon_H27 zenon_H61 zenon_H207 zenon_H34 zenon_H113 zenon_H41 zenon_Hb5 zenon_H3c. % 11.48/11.64 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ]. % 11.48/11.64 apply (zenon_L129_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ]. % 11.48/11.64 apply (zenon_L519_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ]. % 11.48/11.64 apply (zenon_L108_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.48/11.64 apply (zenon_L3_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.48/11.64 apply (zenon_L211_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.48/11.64 apply (zenon_L7_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.48/11.64 apply (zenon_L130_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.48/11.64 apply (zenon_L13_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ]. % 11.48/11.64 apply (zenon_L7_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ]. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ]. % 11.48/11.64 apply (zenon_L118_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ]. % 11.48/11.64 exact (zenon_H207 zenon_H10c). % 11.48/11.64 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ]. % 11.48/11.64 apply (zenon_L887_); trivial. % 11.48/11.64 apply (zenon_L38_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ]. % 11.48/11.64 apply (zenon_L233_); trivial. % 11.48/11.64 apply (zenon_L196_); trivial. % 11.48/11.64 apply (zenon_L752_); trivial. % 11.48/11.64 (* end of lemma zenon_L899_ *) % 11.48/11.64 assert (zenon_L900_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e2)) = (e1)) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((e0) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (e0))) -> (~((e0) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> ((op (e2) (e0)) = (e2)) -> (~((e1) = (e2))) -> (~((e1) = (e3))) -> False). % 11.48/11.64 do 0 intro. intros zenon_H44 zenon_H2e zenon_H161 zenon_H69 zenon_H2c zenon_H10b zenon_Hb9 zenon_H26b zenon_H27 zenon_H233 zenon_H141 zenon_Hf0 zenon_H194 zenon_He3 zenon_H117 zenon_H26a zenon_H16e zenon_H207 zenon_H34 zenon_H113 zenon_H41 zenon_Hb7 zenon_H20 zenon_H25 zenon_H23c zenon_H90 zenon_Hb5 zenon_H30 zenon_H3c. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.48/11.64 apply (zenon_L7_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.48/11.64 apply (zenon_L65_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.48/11.64 apply (zenon_L9_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ]. % 11.48/11.64 apply (zenon_L7_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ]. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ]. % 11.48/11.64 apply (zenon_L118_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ]. % 11.48/11.64 exact (zenon_H207 zenon_H10c). % 11.48/11.64 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ]. % 11.48/11.64 apply (zenon_L896_); trivial. % 11.48/11.64 apply (zenon_L38_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ]. % 11.48/11.64 apply (zenon_L233_); trivial. % 11.48/11.64 apply (zenon_L739_); trivial. % 11.48/11.64 (* end of lemma zenon_L900_ *) % 11.48/11.64 assert (zenon_L901_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e0) (e2)) = (e1)) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e0)) = (e0)) -> (~((e0) = (e1))) -> ((op (e1) (e3)) = (e1)) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((e0) = (e2))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e1)) = (e0))) -> (~((e0) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e2)) -> (~((e1) = (e3))) -> False). % 11.48/11.64 do 0 intro. intros zenon_H49 zenon_H1aa zenon_H23c zenon_Hb7 zenon_H16e zenon_H26a zenon_H117 zenon_He3 zenon_H194 zenon_Hf0 zenon_H141 zenon_H233 zenon_H26b zenon_Hb9 zenon_H10b zenon_H44 zenon_H30 zenon_H2e zenon_H161 zenon_H25 zenon_H20 zenon_H90 zenon_H69 zenon_H16c zenon_H27 zenon_H61 zenon_H207 zenon_H34 zenon_H113 zenon_H41 zenon_Hb5 zenon_H3c. % 11.48/11.64 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ]. % 11.48/11.64 apply (zenon_L129_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ]. % 11.48/11.64 apply (zenon_L519_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ]. % 11.48/11.64 apply (zenon_L108_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.48/11.64 apply (zenon_L208_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.48/11.64 apply (zenon_L900_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.48/11.64 apply (zenon_L6_); trivial. % 11.48/11.64 apply (zenon_L752_); trivial. % 11.48/11.64 (* end of lemma zenon_L901_ *) % 11.48/11.64 assert (zenon_L902_ : (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e0)) = (e2)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e2) (e2)) = (e2)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e1) (e1)) = (e2))) -> ((op (e0) (e1)) = (e3)) -> (~((e2) = (e3))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e0)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> False). % 11.48/11.64 do 0 intro. intros zenon_Hf3 zenon_H3c zenon_H79 zenon_H157 zenon_H58 zenon_H15a zenon_H5a zenon_H1f0 zenon_H233 zenon_He5 zenon_H15d zenon_Hf0 zenon_H30 zenon_Hc5 zenon_H68 zenon_H39 zenon_H41 zenon_H106 zenon_Hf6 zenon_H16a zenon_H1e2 zenon_H25 zenon_H1df zenon_H2e zenon_H101 zenon_H141 zenon_H90. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H2c | zenon_intro zenon_H109 ]. % 11.48/11.64 apply (zenon_L65_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H6c | zenon_intro zenon_H10a ]. % 11.48/11.64 exact (zenon_H68 zenon_H6c). % 11.48/11.64 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Ha4 ]. % 11.48/11.64 apply (zenon_L95_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H3b | zenon_intro zenon_Hf4 ]. % 11.48/11.64 apply (zenon_L9_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H89 | zenon_intro zenon_Hf5 ]. % 11.48/11.64 apply (zenon_L366_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_He1 | zenon_intro zenon_Hec ]. % 11.48/11.64 apply (zenon_L70_); trivial. % 11.48/11.64 apply (zenon_L815_); trivial. % 11.48/11.64 (* end of lemma zenon_L902_ *) % 11.48/11.64 assert (zenon_L903_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e1)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e1)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e3)) -> (~((op (e1) (e1)) = (e2))) -> (~((e1) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e2) (e2)) = (e2)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e1) (e0)) = (e2)) -> ((op (e3) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e2) (e0)) = (e3)) -> ((op (e2) (e1)) = (e0)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> False). % 11.48/11.64 do 0 intro. intros zenon_H11b zenon_Hcb zenon_H226 zenon_H167 zenon_H212 zenon_H8d zenon_H157 zenon_H14f zenon_H105 zenon_H34 zenon_H161 zenon_H141 zenon_H101 zenon_H2e zenon_H1df zenon_H25 zenon_H1e2 zenon_Ha4 zenon_H16a zenon_Hf6 zenon_H106 zenon_H41 zenon_H39 zenon_H68 zenon_H30 zenon_Hf0 zenon_H15d zenon_He5 zenon_H233 zenon_H1f0 zenon_H5a zenon_H15a zenon_H58 zenon_He6 zenon_H1f3 zenon_H79 zenon_H3c zenon_Hf3 zenon_H152 zenon_Hcc zenon_H117 zenon_H90. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H6f | zenon_intro zenon_H11d ]. % 11.48/11.64 apply (zenon_L763_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H11e ]. % 11.48/11.64 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H3b | zenon_intro zenon_Hf4 ]. % 11.48/11.64 apply (zenon_L9_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H89 | zenon_intro zenon_Hf5 ]. % 11.48/11.64 apply (zenon_L404_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_He1 | zenon_intro zenon_Hec ]. % 11.48/11.64 apply (zenon_L70_); trivial. % 11.48/11.64 apply (zenon_L815_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H11f | zenon_intro zenon_H118 ]. % 11.48/11.64 apply (zenon_L242_); trivial. % 11.48/11.64 apply (zenon_L96_); trivial. % 11.48/11.64 (* end of lemma zenon_L903_ *) % 11.48/11.64 assert (zenon_L904_ : (~((op (e3) (e3)) = (e2))) -> (~((op (e2) (e3)) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e1)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e0)) = (e2)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((e2) = (e3))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False). % 11.48/11.64 do 0 intro. intros zenon_Hb1 zenon_H26a zenon_Hf0 zenon_He3 zenon_H141 zenon_H233 zenon_H13a zenon_H197 zenon_H27 zenon_H11b zenon_H34 zenon_H161 zenon_H101 zenon_H2e zenon_H1df zenon_H25 zenon_H1e2 zenon_H16a zenon_Hf6 zenon_H106 zenon_H30 zenon_H15d zenon_He5 zenon_H1f0 zenon_Hf3 zenon_H1aa zenon_Hfa zenon_Hc8 zenon_H6d zenon_H1ca zenon_H16c zenon_H105 zenon_H3c zenon_H14f zenon_H90 zenon_H157 zenon_H8d zenon_H212 zenon_H79 zenon_H68 zenon_H1f3 zenon_H58 zenon_H15a zenon_H167 zenon_H226 zenon_H39 zenon_Hcb zenon_H41 zenon_H5a zenon_H117. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ]. % 11.48/11.64 apply (zenon_L7_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ]. % 11.48/11.64 apply (zenon_L31_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ]. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H1f | zenon_intro zenon_H107 ]. % 11.48/11.64 apply (zenon_L760_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H56 | zenon_intro zenon_H108 ]. % 11.48/11.64 apply (zenon_L459_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hc5 | zenon_intro zenon_He6 ]. % 11.48/11.64 apply (zenon_L902_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H2c | zenon_intro zenon_H109 ]. % 11.48/11.64 apply (zenon_L65_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H6c | zenon_intro zenon_H10a ]. % 11.48/11.64 exact (zenon_H68 zenon_H6c). % 11.48/11.64 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Ha4 ]. % 11.48/11.64 apply (zenon_L54_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H6e | zenon_intro zenon_Hfc ]. % 11.48/11.64 apply (zenon_L624_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hfd ]. % 11.48/11.64 apply (zenon_L903_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hce | zenon_intro zenon_H96 ]. % 11.48/11.64 apply (zenon_L56_); trivial. % 11.48/11.64 apply (zenon_L848_); trivial. % 11.48/11.64 apply (zenon_L762_); trivial. % 11.48/11.64 (* end of lemma zenon_L904_ *) % 11.48/11.64 assert (zenon_L905_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e1) (e0)) = (e3)) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((e0) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e3)) -> False). % 11.48/11.64 do 0 intro. intros zenon_H69 zenon_H41 zenon_H75 zenon_H68 zenon_H5c zenon_H5a zenon_Hb9 zenon_H26b zenon_H27 zenon_H233 zenon_H141 zenon_Hf0 zenon_H194 zenon_He3 zenon_H90 zenon_H117 zenon_H26a zenon_H16e zenon_H40. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H58 | zenon_intro zenon_H6a ]. % 11.48/11.64 apply (zenon_L31_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6c | zenon_intro zenon_H6b ]. % 11.48/11.64 exact (zenon_H68 zenon_H6c). % 11.48/11.64 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H5b | zenon_intro zenon_H62 ]. % 11.48/11.64 apply (zenon_L21_); trivial. % 11.48/11.64 apply (zenon_L886_); trivial. % 11.48/11.64 (* end of lemma zenon_L905_ *) % 11.48/11.64 assert (zenon_L906_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (e3))) -> (~((e2) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((e0) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e3)) -> False). % 11.48/11.64 do 0 intro. intros zenon_H69 zenon_H61 zenon_H15a zenon_Hc5 zenon_H157 zenon_H79 zenon_H41 zenon_H8d zenon_H68 zenon_H5c zenon_H5a zenon_Hb9 zenon_H26b zenon_H27 zenon_H233 zenon_H141 zenon_Hf0 zenon_H194 zenon_He3 zenon_H90 zenon_H117 zenon_H26a zenon_H16e zenon_H40. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H58 | zenon_intro zenon_H6a ]. % 11.48/11.64 apply (zenon_L771_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6c | zenon_intro zenon_H6b ]. % 11.48/11.64 exact (zenon_H68 zenon_H6c). % 11.48/11.64 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H5b | zenon_intro zenon_H62 ]. % 11.48/11.64 apply (zenon_L21_); trivial. % 11.48/11.64 apply (zenon_L886_); trivial. % 11.48/11.64 (* end of lemma zenon_L906_ *) % 11.48/11.64 assert (zenon_L907_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e3)) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (e3))) -> (~((e2) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((e0) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e3)) -> False). % 11.48/11.64 do 0 intro. intros zenon_H105 zenon_H30 zenon_Hcb zenon_H152 zenon_H3c zenon_H11b zenon_H14f zenon_H157 zenon_H69 zenon_H61 zenon_H15a zenon_H1f3 zenon_H79 zenon_H41 zenon_H8d zenon_H68 zenon_H5c zenon_H5a zenon_Hb9 zenon_H26b zenon_H27 zenon_H233 zenon_H141 zenon_Hf0 zenon_H194 zenon_He3 zenon_H90 zenon_H117 zenon_H26a zenon_H16e zenon_H40. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H1f | zenon_intro zenon_H107 ]. % 11.48/11.64 apply (zenon_L764_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H56 | zenon_intro zenon_H108 ]. % 11.48/11.64 apply (zenon_L247_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hc5 | zenon_intro zenon_He6 ]. % 11.48/11.64 apply (zenon_L906_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H58 | zenon_intro zenon_H6a ]. % 11.48/11.64 apply (zenon_L765_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6c | zenon_intro zenon_H6b ]. % 11.48/11.64 exact (zenon_H68 zenon_H6c). % 11.48/11.64 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H5b | zenon_intro zenon_H62 ]. % 11.48/11.64 apply (zenon_L21_); trivial. % 11.48/11.64 apply (zenon_L886_); trivial. % 11.48/11.64 (* end of lemma zenon_L907_ *) % 11.48/11.64 assert (zenon_L908_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e2) (e2)) = (e2))/\(((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0)))/\(((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((e0) = (e2))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e1)) = (e2))) -> (~((e1) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e1)) -> (~((e2) = (e3))) -> False). % 11.48/11.64 do 0 intro. intros zenon_Hb7 zenon_H20 zenon_H16c zenon_H1ca zenon_Hfa zenon_H1aa zenon_Hf3 zenon_H1f0 zenon_Hf6 zenon_H1e2 zenon_H1df zenon_H101 zenon_H11b zenon_H197 zenon_H13a zenon_H69 zenon_H5c zenon_H161 zenon_H117 zenon_Hcb zenon_H226 zenon_H167 zenon_H1f3 zenon_H212 zenon_H65 zenon_Hb1 zenon_Had zenon_H222 zenon_Hb0 zenon_H132 zenon_H16e zenon_H26a zenon_He3 zenon_H194 zenon_H141 zenon_H27 zenon_H26b zenon_Hb9 zenon_H49 zenon_Hc0 zenon_H61 zenon_H15a zenon_H157 zenon_H79 zenon_H8d zenon_H2b zenon_Hb8 zenon_H44 zenon_H34 zenon_H25 zenon_H16a zenon_H106 zenon_H68 zenon_H30 zenon_Hf0 zenon_H15d zenon_He5 zenon_H233 zenon_H90 zenon_H14f zenon_Hc8 zenon_H5a zenon_H105 zenon_H3c zenon_H2e zenon_H41. % 11.48/11.64 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ]. % 11.48/11.64 apply (zenon_L129_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ]. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.48/11.64 exact (zenon_H2b zenon_H26). % 11.48/11.64 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.48/11.64 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ]. % 11.48/11.64 exact (zenon_H2b zenon_H26). % 11.48/11.64 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ]. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.48/11.64 apply (zenon_L7_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.48/11.64 apply (zenon_L904_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.48/11.64 apply (zenon_L9_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ]. % 11.48/11.64 apply (zenon_L7_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ]. % 11.48/11.64 apply (zenon_L905_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ]. % 11.48/11.64 apply (zenon_L907_); trivial. % 11.48/11.64 apply (zenon_L493_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ]. % 11.48/11.64 apply (zenon_L50_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.48/11.64 apply (zenon_L7_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.48/11.64 apply (zenon_L846_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.48/11.64 apply (zenon_L9_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ]. % 11.48/11.64 apply (zenon_L7_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ]. % 11.48/11.64 apply (zenon_L123_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ]. % 11.48/11.64 apply (zenon_L907_); trivial. % 11.48/11.64 apply (zenon_L302_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.48/11.64 apply (zenon_L6_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ]. % 11.48/11.64 exact (zenon_H2b zenon_H26). % 11.48/11.64 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ]. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.48/11.64 apply (zenon_L7_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.48/11.64 apply (zenon_L904_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.48/11.64 apply (zenon_L9_); trivial. % 11.48/11.64 apply (zenon_L11_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ]. % 11.48/11.64 apply (zenon_L553_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.48/11.64 apply (zenon_L7_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.48/11.64 apply (zenon_L846_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.48/11.64 apply (zenon_L9_); trivial. % 11.48/11.64 apply (zenon_L11_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ]. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.48/11.64 exact (zenon_H2b zenon_H26). % 11.48/11.64 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.48/11.64 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ]. % 11.48/11.64 exact (zenon_H2b zenon_H26). % 11.48/11.64 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ]. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.48/11.64 apply (zenon_L7_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.48/11.64 apply (zenon_L763_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.48/11.64 apply (zenon_L9_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ]. % 11.48/11.64 apply (zenon_L7_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ]. % 11.48/11.64 apply (zenon_L905_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ]. % 11.48/11.64 apply (zenon_L136_); trivial. % 11.48/11.64 apply (zenon_L493_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ]. % 11.48/11.64 apply (zenon_L50_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.48/11.64 apply (zenon_L7_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.48/11.64 apply (zenon_L846_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.48/11.64 apply (zenon_L9_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ]. % 11.48/11.64 apply (zenon_L7_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ]. % 11.48/11.64 apply (zenon_L905_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ]. % 11.48/11.64 apply (zenon_L136_); trivial. % 11.48/11.64 apply (zenon_L302_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.48/11.64 apply (zenon_L23_); trivial. % 11.48/11.64 apply (zenon_L770_); trivial. % 11.48/11.64 apply (zenon_L777_); trivial. % 11.48/11.64 (* end of lemma zenon_L908_ *) % 11.48/11.64 assert (zenon_L909_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> ((op (e0) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e3) (e3)) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e3)) -> False). % 11.48/11.64 do 0 intro. intros zenon_Hb9 zenon_H26b zenon_H3b zenon_H13f zenon_H5a zenon_H5c zenon_H125 zenon_H1d9 zenon_H228 zenon_H245 zenon_Hb1 zenon_Hf0 zenon_H141 zenon_H233 zenon_H13a zenon_H197 zenon_H194 zenon_He3 zenon_H90 zenon_H26a zenon_H117 zenon_H8b. % 11.48/11.64 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H72 | zenon_intro zenon_Hbe ]. % 11.48/11.64 exact (zenon_H26b zenon_H72). % 11.48/11.64 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H7a | zenon_intro zenon_Hbf ]. % 11.48/11.64 apply (zenon_L513_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H96 | zenon_intro zenon_H9d ]. % 11.48/11.64 apply (zenon_L848_); trivial. % 11.48/11.64 apply (zenon_L838_); trivial. % 11.48/11.64 (* end of lemma zenon_L909_ *) % 11.48/11.64 assert (zenon_L910_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e1) (e0)) = (e3)) -> (~((op (e1) (e1)) = (e2))) -> (~((e0) = (e2))) -> ((op (e1) (e2)) = (e0)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e2)) -> False). % 11.48/11.64 do 0 intro. intros zenon_H69 zenon_H41 zenon_H75 zenon_H68 zenon_H27 zenon_He0 zenon_H61 zenon_H3f. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H58 | zenon_intro zenon_H6a ]. % 11.48/11.64 apply (zenon_L31_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6c | zenon_intro zenon_H6b ]. % 11.48/11.64 exact (zenon_H68 zenon_H6c). % 11.48/11.64 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H5b | zenon_intro zenon_H62 ]. % 11.48/11.64 apply (zenon_L347_); trivial. % 11.48/11.64 apply (zenon_L22_); trivial. % 11.48/11.64 (* end of lemma zenon_L910_ *) % 11.48/11.64 assert (zenon_L911_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e2) (e3)) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e3)) -> (~((op (e3) (e3)) = (e3))) -> False). % 11.48/11.64 do 0 intro. intros zenon_Hb9 zenon_H26b zenon_H14f zenon_H10c zenon_Hb1 zenon_H26a zenon_Hf0 zenon_He3 zenon_H90 zenon_H141 zenon_H13a zenon_H197 zenon_H251 zenon_H1e2 zenon_H33 zenon_H16a zenon_Ha4 zenon_H15d zenon_H1df zenon_H125 zenon_H89 zenon_H233. % 11.48/11.64 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H72 | zenon_intro zenon_Hbe ]. % 11.48/11.64 exact (zenon_H26b zenon_H72). % 11.48/11.64 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H7a | zenon_intro zenon_Hbf ]. % 11.48/11.64 apply (zenon_L135_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H96 | zenon_intro zenon_H9d ]. % 11.48/11.64 apply (zenon_L848_); trivial. % 11.48/11.64 apply (zenon_L720_); trivial. % 11.48/11.64 (* end of lemma zenon_L911_ *) % 11.48/11.64 assert (zenon_L912_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e2))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e2) = (e3))) -> ((op (e2) (e2)) = (e2)) -> (~((e1) = (e3))) -> False). % 11.48/11.64 do 0 intro. intros zenon_H22e zenon_H20 zenon_H228 zenon_H6f zenon_Hc0 zenon_Hf3 zenon_H34 zenon_Hd0 zenon_H233 zenon_H125 zenon_H1df zenon_H15d zenon_Ha4 zenon_H16a zenon_H33 zenon_H1e2 zenon_H251 zenon_H197 zenon_H13a zenon_H141 zenon_H90 zenon_He3 zenon_Hf0 zenon_H26a zenon_Hb1 zenon_H10c zenon_H14f zenon_H26b zenon_Hb9 zenon_H41 zenon_H5a zenon_H3c. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H2e | zenon_intro zenon_H22f ]. % 11.48/11.64 apply (zenon_L61_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H88 | zenon_intro zenon_H230 ]. % 11.48/11.64 apply (zenon_L391_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H11f | zenon_intro zenon_H1d9 ]. % 11.48/11.64 apply (zenon_L640_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H3b | zenon_intro zenon_Hf4 ]. % 11.48/11.64 apply (zenon_L59_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H89 | zenon_intro zenon_Hf5 ]. % 11.48/11.64 apply (zenon_L911_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_He1 | zenon_intro zenon_Hec ]. % 11.48/11.64 apply (zenon_L70_); trivial. % 11.48/11.64 apply (zenon_L273_); trivial. % 11.48/11.64 (* end of lemma zenon_L912_ *) % 11.48/11.64 assert (zenon_L913_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e2))/\(((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0)))/\(((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e2) (e3)) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((e0) = (e1))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e2)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> False). % 11.48/11.64 do 0 intro. intros zenon_H106 zenon_H68 zenon_Hc8 zenon_H132 zenon_H11b zenon_H3c zenon_H41 zenon_Hb9 zenon_H26b zenon_H14f zenon_H10c zenon_Hb1 zenon_H26a zenon_Hf0 zenon_He3 zenon_H141 zenon_H13a zenon_H197 zenon_H251 zenon_H1e2 zenon_H33 zenon_H16a zenon_H15d zenon_H1df zenon_H125 zenon_H233 zenon_Hd0 zenon_H34 zenon_Hf3 zenon_Hc0 zenon_H228 zenon_H20 zenon_H22e zenon_H1f zenon_Hcb zenon_H5a zenon_H30 zenon_H117 zenon_H90. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H2c | zenon_intro zenon_H109 ]. % 11.48/11.64 apply (zenon_L211_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H6c | zenon_intro zenon_H10a ]. % 11.48/11.64 exact (zenon_H68 zenon_H6c). % 11.48/11.64 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Ha4 ]. % 11.48/11.64 apply (zenon_L801_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H6f | zenon_intro zenon_H11d ]. % 11.48/11.64 apply (zenon_L912_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H11e ]. % 11.48/11.64 apply (zenon_L330_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H11f | zenon_intro zenon_H118 ]. % 11.48/11.64 apply (zenon_L505_); trivial. % 11.48/11.64 apply (zenon_L96_); trivial. % 11.48/11.64 (* end of lemma zenon_L913_ *) % 11.48/11.64 assert (zenon_L914_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e1) (e1)) = (e2))) -> ((op (e2) (e1)) = (e0)) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((e1) = (e2))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e2) = (e3))) -> ((op (e2) (e2)) = (e2)) -> (~((e1) = (e3))) -> False). % 11.48/11.64 do 0 intro. intros zenon_H106 zenon_H1f zenon_H68 zenon_Hcc zenon_H27 zenon_H22e zenon_H20 zenon_H228 zenon_H30 zenon_Hf3 zenon_H34 zenon_Hd0 zenon_H233 zenon_H125 zenon_H1df zenon_H15d zenon_H16a zenon_H33 zenon_H1e2 zenon_H251 zenon_H197 zenon_H13a zenon_H141 zenon_H90 zenon_He3 zenon_Hf0 zenon_H26a zenon_Hb1 zenon_H23c zenon_H57 zenon_H26b zenon_Hb9 zenon_H41 zenon_H5a zenon_H3c. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H2c | zenon_intro zenon_H109 ]. % 11.48/11.64 apply (zenon_L211_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H6c | zenon_intro zenon_H10a ]. % 11.48/11.64 exact (zenon_H68 zenon_H6c). % 11.48/11.64 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Ha4 ]. % 11.48/11.64 apply (zenon_L164_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H2e | zenon_intro zenon_H22f ]. % 11.48/11.64 apply (zenon_L61_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H88 | zenon_intro zenon_H230 ]. % 11.48/11.64 apply (zenon_L391_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H11f | zenon_intro zenon_H1d9 ]. % 11.48/11.64 apply (zenon_L505_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H3b | zenon_intro zenon_Hf4 ]. % 11.48/11.64 apply (zenon_L59_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H89 | zenon_intro zenon_Hf5 ]. % 11.48/11.64 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H72 | zenon_intro zenon_Hbe ]. % 11.48/11.64 exact (zenon_H26b zenon_H72). % 11.48/11.64 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H7a | zenon_intro zenon_Hbf ]. % 11.48/11.64 apply (zenon_L479_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H96 | zenon_intro zenon_H9d ]. % 11.48/11.64 apply (zenon_L848_); trivial. % 11.48/11.64 apply (zenon_L720_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_He1 | zenon_intro zenon_Hec ]. % 11.48/11.64 apply (zenon_L70_); trivial. % 11.48/11.64 apply (zenon_L273_); trivial. % 11.48/11.64 (* end of lemma zenon_L914_ *) % 11.48/11.64 assert (zenon_L915_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> ((op (e3) (e1)) = (e0)) -> (~((e0) = (e2))) -> False). % 11.48/11.64 do 0 intro. intros zenon_H106 zenon_H30 zenon_H1f zenon_H68 zenon_Hc8 zenon_H5a zenon_H120 zenon_H27. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H2c | zenon_intro zenon_H109 ]. % 11.48/11.64 apply (zenon_L211_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H6c | zenon_intro zenon_H10a ]. % 11.48/11.64 exact (zenon_H68 zenon_H6c). % 11.48/11.64 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Ha4 ]. % 11.48/11.64 apply (zenon_L54_); trivial. % 11.48/11.64 apply (zenon_L98_); trivial. % 11.48/11.64 (* end of lemma zenon_L915_ *) % 11.48/11.64 assert (zenon_L916_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e0) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((e1) = (e2))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e1)) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e0) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e2) (e2)) = (e2))/\(((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0)))/\(((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (e2))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e1))) -> False). % 11.48/11.64 do 0 intro. intros zenon_H113 zenon_H27 zenon_H23c zenon_H203 zenon_H117 zenon_H30 zenon_H5a zenon_Hcb zenon_H1f zenon_H22e zenon_H228 zenon_Hc0 zenon_Hf3 zenon_H34 zenon_H233 zenon_H125 zenon_H1df zenon_H15d zenon_H16a zenon_H33 zenon_H1e2 zenon_H251 zenon_H197 zenon_H13a zenon_H141 zenon_He3 zenon_Hf0 zenon_H26a zenon_Hb1 zenon_H14f zenon_H26b zenon_Hb9 zenon_H41 zenon_H3c zenon_H11b zenon_H132 zenon_Hc8 zenon_H68 zenon_H106 zenon_Hd0 zenon_H13f zenon_H90 zenon_H20. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ]. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H1e | zenon_intro zenon_H204 ]. % 11.48/11.64 apply (zenon_L2_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H10c | zenon_intro zenon_H205 ]. % 11.48/11.64 apply (zenon_L913_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_Hcc | zenon_intro zenon_H120 ]. % 11.48/11.64 apply (zenon_L914_); trivial. % 11.48/11.64 apply (zenon_L915_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ]. % 11.48/11.64 apply (zenon_L913_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ]. % 11.48/11.64 apply (zenon_L293_); trivial. % 11.48/11.64 apply (zenon_L38_); trivial. % 11.48/11.64 (* end of lemma zenon_L916_ *) % 11.48/11.64 assert (zenon_L917_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e1))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e2))/\(((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0)))/\(((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e2) (e3)) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e2)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((e0) = (e2))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> ((op (e0) (e3)) = (e2)) -> (~((e2) = (e3))) -> False). % 11.48/11.64 do 0 intro. intros zenon_H44 zenon_H20 zenon_H90 zenon_H13f zenon_H106 zenon_H68 zenon_Hc8 zenon_H132 zenon_H11b zenon_Hb9 zenon_H26b zenon_H14f zenon_Hb1 zenon_H26a zenon_Hf0 zenon_He3 zenon_H141 zenon_H13a zenon_H197 zenon_H251 zenon_H1e2 zenon_H16a zenon_H15d zenon_H1df zenon_H125 zenon_H233 zenon_Hf3 zenon_Hc0 zenon_H228 zenon_H22e zenon_Hcb zenon_H5a zenon_H30 zenon_H117 zenon_H203 zenon_H23c zenon_H27 zenon_H113 zenon_H3c zenon_H1f zenon_H34 zenon_Hd0 zenon_H3f zenon_H41. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.48/11.64 apply (zenon_L916_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.48/11.64 apply (zenon_L130_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.48/11.64 apply (zenon_L59_); trivial. % 11.48/11.64 apply (zenon_L11_); trivial. % 11.48/11.64 (* end of lemma zenon_L917_ *) % 11.48/11.64 assert (zenon_L918_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e1))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e2))/\(((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0)))/\(((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e2) (e3)) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e2)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((e0) = (e2))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((e2) = (e3))) -> False). % 11.48/11.64 do 0 intro. intros zenon_H49 zenon_H4f zenon_H65 zenon_H44 zenon_H20 zenon_H90 zenon_H13f zenon_H106 zenon_H68 zenon_Hc8 zenon_H132 zenon_H11b zenon_Hb9 zenon_H26b zenon_H14f zenon_Hb1 zenon_H26a zenon_Hf0 zenon_He3 zenon_H141 zenon_H13a zenon_H197 zenon_H251 zenon_H1e2 zenon_H16a zenon_H15d zenon_H1df zenon_H125 zenon_H233 zenon_Hf3 zenon_Hc0 zenon_H228 zenon_H22e zenon_Hcb zenon_H5a zenon_H30 zenon_H117 zenon_H203 zenon_H23c zenon_H27 zenon_H113 zenon_H3c zenon_H1f zenon_H34 zenon_Hd0 zenon_H41. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.48/11.64 apply (zenon_L160_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.48/11.64 apply (zenon_L211_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.48/11.64 apply (zenon_L23_); trivial. % 11.48/11.64 apply (zenon_L917_); trivial. % 11.48/11.64 (* end of lemma zenon_L918_ *) % 11.48/11.64 assert (zenon_L919_ : (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e1)) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e3)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> False). % 11.48/11.64 do 0 intro. intros zenon_H1db zenon_Hd0 zenon_H101 zenon_H88 zenon_H5a zenon_Had zenon_H89 zenon_H125. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H1dc ]. % 11.48/11.64 apply (zenon_L416_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H1d9 | zenon_intro zenon_H1dd ]. % 11.48/11.64 apply (zenon_L393_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_Hae | zenon_intro zenon_Hec ]. % 11.48/11.64 apply (zenon_L46_); trivial. % 11.48/11.64 apply (zenon_L101_); trivial. % 11.48/11.64 (* end of lemma zenon_L919_ *) % 11.48/11.64 assert (zenon_L920_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e3)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> ((op (e2) (e2)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e1)) -> False). % 11.48/11.64 do 0 intro. intros zenon_H22e zenon_H20 zenon_H125 zenon_H89 zenon_Had zenon_H101 zenon_Hd0 zenon_H1db zenon_H5a zenon_H30 zenon_H1d8 zenon_He6. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H2e | zenon_intro zenon_H22f ]. % 11.48/11.64 apply (zenon_L61_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H88 | zenon_intro zenon_H230 ]. % 11.48/11.64 apply (zenon_L919_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H11f | zenon_intro zenon_H1d9 ]. % 11.48/11.64 apply (zenon_L505_); trivial. % 11.48/11.64 apply (zenon_L255_); trivial. % 11.48/11.64 (* end of lemma zenon_L920_ *) % 11.48/11.64 assert (zenon_L921_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (e3))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((e1) = (e2))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e1))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e3)) -> ((op (e0) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((e2) = (e3))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False). % 11.48/11.64 do 0 intro. intros zenon_H8d zenon_H212 zenon_H79 zenon_He6 zenon_H1d8 zenon_H30 zenon_H1db zenon_Hd0 zenon_H101 zenon_Had zenon_H125 zenon_H20 zenon_H22e zenon_H167 zenon_H226 zenon_H15e zenon_H39 zenon_Hcb zenon_H41 zenon_H5a zenon_H117. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H75 | zenon_intro zenon_H8e ]. % 11.48/11.64 apply (zenon_L299_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H78 | zenon_intro zenon_H8f ]. % 11.48/11.64 exact (zenon_H79 zenon_H78). % 11.48/11.64 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H8b ]. % 11.48/11.64 apply (zenon_L920_); trivial. % 11.48/11.64 apply (zenon_L744_); trivial. % 11.48/11.64 (* end of lemma zenon_L921_ *) % 11.48/11.64 assert (zenon_L922_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e1) (e0)) = (e2)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (e2))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((e1) = (e2))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e1))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e3)) -> ((op (e0) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((e2) = (e3))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False). % 11.48/11.64 do 0 intro. intros zenon_H105 zenon_H3c zenon_H14f zenon_H90 zenon_H15a zenon_H58 zenon_H157 zenon_H68 zenon_H8d zenon_H212 zenon_H79 zenon_H1d8 zenon_H30 zenon_H1db zenon_Hd0 zenon_H101 zenon_Had zenon_H125 zenon_H20 zenon_H22e zenon_H167 zenon_H226 zenon_H15e zenon_H39 zenon_Hcb zenon_H41 zenon_H5a zenon_H117. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H1f | zenon_intro zenon_H107 ]. % 11.48/11.64 apply (zenon_L130_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H56 | zenon_intro zenon_H108 ]. % 11.48/11.64 apply (zenon_L247_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hc5 | zenon_intro zenon_He6 ]. % 11.48/11.64 apply (zenon_L761_); trivial. % 11.48/11.64 apply (zenon_L921_); trivial. % 11.48/11.64 (* end of lemma zenon_L922_ *) % 11.48/11.64 assert (zenon_L923_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e3)) -> (~((op (e1) (e1)) = (e2))) -> ((op (e2) (e1)) = (e0)) -> (~((e0) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e2)) -> False). % 11.48/11.64 do 0 intro. intros zenon_H106 zenon_H41 zenon_H39 zenon_H68 zenon_Hcc zenon_H27 zenon_H16a zenon_H9a. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H2c | zenon_intro zenon_H109 ]. % 11.48/11.64 apply (zenon_L65_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H6c | zenon_intro zenon_H10a ]. % 11.48/11.64 exact (zenon_H68 zenon_H6c). % 11.48/11.64 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Ha4 ]. % 11.48/11.64 apply (zenon_L164_); trivial. % 11.48/11.64 apply (zenon_L268_); trivial. % 11.48/11.64 (* end of lemma zenon_L923_ *) % 11.48/11.64 assert (zenon_L924_ : (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e0) = (e3))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e3) (e0)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e3)) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e2))/\(((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0)))/\(((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))))))) -> (~((e0) = (e2))) -> False). % 11.48/11.64 do 0 intro. intros zenon_H203 zenon_H34 zenon_H57 zenon_H1ca zenon_H9a zenon_H16a zenon_H106 zenon_H41 zenon_H39 zenon_H68 zenon_Hc8 zenon_H132 zenon_H27. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H1e | zenon_intro zenon_H204 ]. % 11.48/11.64 apply (zenon_L8_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H10c | zenon_intro zenon_H205 ]. % 11.48/11.64 apply (zenon_L232_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_Hcc | zenon_intro zenon_H120 ]. % 11.48/11.64 apply (zenon_L923_); trivial. % 11.48/11.64 apply (zenon_L802_); trivial. % 11.48/11.64 (* end of lemma zenon_L924_ *) % 11.48/11.64 assert (zenon_L925_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e2) (e2)) = (e2)) -> (~((e0) = (e2))) -> ((op (e0) (e3)) = (e3)) -> (~((e2) = (e3))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e2) (e3)) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e0)) -> False). % 11.48/11.64 do 0 intro. intros zenon_Hb9 zenon_H26b zenon_H192 zenon_H5a zenon_H27 zenon_H40 zenon_H41 zenon_Hb1 zenon_H26a zenon_Hf0 zenon_He3 zenon_H90 zenon_H141 zenon_H233 zenon_H13a zenon_H197 zenon_H15d zenon_Hc3. % 11.48/11.64 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H72 | zenon_intro zenon_Hbe ]. % 11.48/11.64 exact (zenon_H26b zenon_H72). % 11.48/11.64 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H7a | zenon_intro zenon_Hbf ]. % 11.48/11.64 apply (zenon_L781_); trivial. % 11.48/11.64 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H96 | zenon_intro zenon_H9d ]. % 11.48/11.64 apply (zenon_L848_); trivial. % 11.48/11.64 apply (zenon_L548_); trivial. % 11.48/11.64 (* end of lemma zenon_L925_ *) % 11.48/11.64 assert (zenon_L926_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e2))/\(((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0)))/\(((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e2) (e2)) = (e2)) -> (~((e2) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e1) = (e2))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((e0) = (e1))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e2))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e3)) -> False). % 11.48/11.65 do 0 intro. intros zenon_H106 zenon_H1f zenon_H68 zenon_Hc8 zenon_H132 zenon_H8d zenon_H3c zenon_H5a zenon_H41 zenon_H10e zenon_Hd0 zenon_H34 zenon_Hf3 zenon_H30 zenon_H228 zenon_H20 zenon_H22e zenon_H79 zenon_H233 zenon_H125 zenon_H1df zenon_H15d zenon_H16a zenon_H33 zenon_H1e2 zenon_H251 zenon_H197 zenon_H13a zenon_H141 zenon_H90 zenon_He3 zenon_Hf0 zenon_H26a zenon_Hb1 zenon_H10c zenon_H14f zenon_H26b zenon_Hb9 zenon_H61 zenon_H40. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H2c | zenon_intro zenon_H109 ]. % 11.48/11.65 apply (zenon_L211_); trivial. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H6c | zenon_intro zenon_H10a ]. % 11.48/11.65 exact (zenon_H68 zenon_H6c). % 11.48/11.65 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Ha4 ]. % 11.48/11.65 apply (zenon_L801_); trivial. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H75 | zenon_intro zenon_H8e ]. % 11.48/11.65 apply (zenon_L799_); trivial. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H78 | zenon_intro zenon_H8f ]. % 11.48/11.65 exact (zenon_H79 zenon_H78). % 11.48/11.65 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H8b ]. % 11.48/11.65 apply (zenon_L911_); trivial. % 11.48/11.65 apply (zenon_L634_); trivial. % 11.48/11.65 (* end of lemma zenon_L926_ *) % 11.48/11.65 assert (zenon_L927_ : (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e2) (e2)) = (e2))/\(((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0)))/\(((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))))))) -> ((op (e0) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((e2) = (e3))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e2) (e3)) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((e1) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((e0) = (e2))) -> False). % 11.48/11.65 do 0 intro. intros zenon_H203 zenon_H14f zenon_H132 zenon_H40 zenon_H61 zenon_Hb9 zenon_H26b zenon_H192 zenon_H41 zenon_Hb1 zenon_H26a zenon_Hf0 zenon_He3 zenon_H90 zenon_H141 zenon_H13a zenon_H197 zenon_H251 zenon_H1e2 zenon_H33 zenon_H16a zenon_H15d zenon_H1df zenon_H125 zenon_H233 zenon_H79 zenon_H22e zenon_H20 zenon_H228 zenon_Hf3 zenon_H34 zenon_Hd0 zenon_H10e zenon_H3c zenon_H8d zenon_H106 zenon_H30 zenon_H1f zenon_H68 zenon_Hc8 zenon_H5a zenon_H27. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H1e | zenon_intro zenon_H204 ]. % 11.48/11.65 apply (zenon_L2_); trivial. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H10c | zenon_intro zenon_H205 ]. % 11.48/11.65 apply (zenon_L926_); trivial. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_Hcc | zenon_intro zenon_H120 ]. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H2c | zenon_intro zenon_H109 ]. % 11.48/11.65 apply (zenon_L211_); trivial. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H6c | zenon_intro zenon_H10a ]. % 11.48/11.65 exact (zenon_H68 zenon_H6c). % 11.48/11.65 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Ha4 ]. % 11.48/11.65 apply (zenon_L164_); trivial. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H75 | zenon_intro zenon_H8e ]. % 11.48/11.65 apply (zenon_L799_); trivial. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H78 | zenon_intro zenon_H8f ]. % 11.48/11.65 exact (zenon_H79 zenon_H78). % 11.48/11.65 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H8b ]. % 11.48/11.65 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H72 | zenon_intro zenon_Hbe ]. % 11.48/11.65 exact (zenon_H26b zenon_H72). % 11.48/11.65 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H7a | zenon_intro zenon_Hbf ]. % 11.48/11.65 apply (zenon_L781_); trivial. % 11.48/11.65 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H96 | zenon_intro zenon_H9d ]. % 11.48/11.65 apply (zenon_L848_); trivial. % 11.48/11.65 apply (zenon_L720_); trivial. % 11.48/11.65 apply (zenon_L634_); trivial. % 11.48/11.65 apply (zenon_L915_); trivial. % 11.48/11.65 (* end of lemma zenon_L927_ *) % 11.48/11.65 assert (zenon_L928_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e2))/\(((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0)))/\(((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e2))) -> ((op (e1) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e2) = (e3))) -> ((op (e2) (e2)) = (e2)) -> (~((e1) = (e3))) -> False). % 11.48/11.65 do 0 intro. intros zenon_H106 zenon_H30 zenon_H1f zenon_H68 zenon_Hc8 zenon_H132 zenon_H22e zenon_H20 zenon_H228 zenon_H6f zenon_Hc0 zenon_Hf3 zenon_H34 zenon_Hd0 zenon_H233 zenon_H125 zenon_H1df zenon_H15d zenon_H16a zenon_H33 zenon_H1e2 zenon_H251 zenon_H197 zenon_H13a zenon_H141 zenon_H90 zenon_He3 zenon_Hf0 zenon_H26a zenon_Hb1 zenon_H10c zenon_H14f zenon_H26b zenon_Hb9 zenon_H41 zenon_H5a zenon_H3c. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H2c | zenon_intro zenon_H109 ]. % 11.48/11.65 apply (zenon_L211_); trivial. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H6c | zenon_intro zenon_H10a ]. % 11.48/11.65 exact (zenon_H68 zenon_H6c). % 11.48/11.65 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Ha4 ]. % 11.48/11.65 apply (zenon_L801_); trivial. % 11.48/11.65 apply (zenon_L912_); trivial. % 11.48/11.65 (* end of lemma zenon_L928_ *) % 11.48/11.65 assert (zenon_L929_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (e2))) -> (~((e1) = (e2))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e2) (e2)) = (e2))/\(((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0)))/\(((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e2) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> False). % 11.48/11.65 do 0 intro. intros zenon_H12d zenon_H1b8 zenon_H15a zenon_H1ca zenon_H10b zenon_H245 zenon_H5c zenon_H105 zenon_H157 zenon_H212 zenon_H1d8 zenon_H1db zenon_H101 zenon_H16c zenon_Had zenon_H222 zenon_Hb0 zenon_Hb8 zenon_H226 zenon_H167 zenon_Hc4 zenon_H4c zenon_H65 zenon_H233 zenon_He5 zenon_H15d zenon_Hf0 zenon_H5a zenon_Hc8 zenon_H68 zenon_H30 zenon_H106 zenon_H44 zenon_H13f zenon_Hc0 zenon_H23c zenon_H113 zenon_H161 zenon_H27 zenon_H8d zenon_H79 zenon_H125 zenon_H1df zenon_H16a zenon_H1e2 zenon_H251 zenon_H197 zenon_H13a zenon_H141 zenon_He3 zenon_H26a zenon_Hb1 zenon_H192 zenon_H26b zenon_Hb9 zenon_H132 zenon_H14f zenon_H203 zenon_H41 zenon_H10e zenon_Hf3 zenon_H228 zenon_H22e zenon_H3c zenon_H34 zenon_H117 zenon_Hcb zenon_H11b zenon_H49 zenon_Hb7 zenon_H20 zenon_Hd0 zenon_H61 zenon_H90. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H25 | zenon_intro zenon_H12e ]. % 11.48/11.65 apply (zenon_L221_); trivial. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H57 | zenon_intro zenon_H12f ]. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.48/11.65 apply (zenon_L160_); trivial. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H1f | zenon_intro zenon_H107 ]. % 11.48/11.65 apply (zenon_L211_); trivial. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H56 | zenon_intro zenon_H108 ]. % 11.48/11.65 apply (zenon_L247_); trivial. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hc5 | zenon_intro zenon_He6 ]. % 11.48/11.65 apply (zenon_L398_); trivial. % 11.48/11.65 apply (zenon_L795_); trivial. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.48/11.65 apply (zenon_L57_); trivial. % 11.48/11.65 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ]. % 11.48/11.65 apply (zenon_L160_); trivial. % 11.48/11.65 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ]. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.48/11.65 apply (zenon_L58_); trivial. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ]. % 11.48/11.65 apply (zenon_L58_); trivial. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ]. % 11.48/11.65 apply (zenon_L118_); trivial. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ]. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H1e | zenon_intro zenon_H204 ]. % 11.48/11.65 apply (zenon_L8_); trivial. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H10c | zenon_intro zenon_H205 ]. % 11.48/11.65 apply (zenon_L232_); trivial. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_Hcc | zenon_intro zenon_H120 ]. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H1f | zenon_intro zenon_H107 ]. % 11.48/11.65 apply (zenon_L918_); trivial. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H56 | zenon_intro zenon_H108 ]. % 11.48/11.65 apply (zenon_L247_); trivial. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hc5 | zenon_intro zenon_He6 ]. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H2e | zenon_intro zenon_H22f ]. % 11.48/11.65 apply (zenon_L61_); trivial. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H88 | zenon_intro zenon_H230 ]. % 11.48/11.65 apply (zenon_L391_); trivial. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H11f | zenon_intro zenon_H1d9 ]. % 11.48/11.65 apply (zenon_L242_); trivial. % 11.48/11.65 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H3b | zenon_intro zenon_Hf4 ]. % 11.48/11.65 apply (zenon_L506_); trivial. % 11.48/11.65 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H89 | zenon_intro zenon_Hf5 ]. % 11.48/11.65 apply (zenon_L366_); trivial. % 11.48/11.65 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_He1 | zenon_intro zenon_Hec ]. % 11.48/11.65 apply (zenon_L70_); trivial. % 11.48/11.65 apply (zenon_L827_); trivial. % 11.48/11.65 apply (zenon_L795_); trivial. % 11.48/11.65 apply (zenon_L802_); trivial. % 11.48/11.65 apply (zenon_L922_); trivial. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.48/11.65 apply (zenon_L59_); trivial. % 11.48/11.65 apply (zenon_L11_); trivial. % 11.48/11.65 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ]. % 11.48/11.65 apply (zenon_L553_); trivial. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.48/11.65 apply (zenon_L58_); trivial. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.48/11.65 apply (zenon_L924_); trivial. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.48/11.65 apply (zenon_L59_); trivial. % 11.48/11.65 apply (zenon_L11_); trivial. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.48/11.65 apply (zenon_L326_); trivial. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.48/11.65 apply (zenon_L61_); trivial. % 11.48/11.65 apply (zenon_L127_); trivial. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H6e | zenon_intro zenon_Hc3 ]. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.48/11.65 apply (zenon_L804_); trivial. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.48/11.65 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ]. % 11.48/11.65 apply (zenon_L918_); trivial. % 11.48/11.65 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ]. % 11.48/11.65 apply (zenon_L760_); trivial. % 11.48/11.65 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ]. % 11.48/11.65 apply (zenon_L29_); trivial. % 11.48/11.65 apply (zenon_L773_); trivial. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.48/11.65 apply (zenon_L61_); trivial. % 11.48/11.65 apply (zenon_L127_); trivial. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.48/11.65 apply (zenon_L160_); trivial. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.48/11.65 apply (zenon_L58_); trivial. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.48/11.65 apply (zenon_L65_); trivial. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.48/11.65 apply (zenon_L59_); trivial. % 11.48/11.65 apply (zenon_L925_); trivial. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.48/11.65 apply (zenon_L23_); trivial. % 11.48/11.65 apply (zenon_L875_); trivial. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.48/11.65 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ]. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.48/11.65 apply (zenon_L160_); trivial. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.48/11.65 apply (zenon_L211_); trivial. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.48/11.65 apply (zenon_L57_); trivial. % 11.48/11.65 apply (zenon_L875_); trivial. % 11.48/11.65 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ]. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.48/11.65 apply (zenon_L916_); trivial. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.48/11.65 apply (zenon_L130_); trivial. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.48/11.65 apply (zenon_L59_); trivial. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ]. % 11.48/11.65 apply (zenon_L927_); trivial. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ]. % 11.48/11.65 apply (zenon_L123_); trivial. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ]. % 11.48/11.65 apply (zenon_L764_); trivial. % 11.48/11.65 apply (zenon_L201_); trivial. % 11.48/11.65 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ]. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ]. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H1e | zenon_intro zenon_H204 ]. % 11.48/11.65 apply (zenon_L2_); trivial. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H10c | zenon_intro zenon_H205 ]. % 11.48/11.65 apply (zenon_L928_); trivial. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_Hcc | zenon_intro zenon_H120 ]. % 11.48/11.65 apply (zenon_L914_); trivial. % 11.48/11.65 apply (zenon_L258_); trivial. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ]. % 11.48/11.65 apply (zenon_L928_); trivial. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ]. % 11.48/11.65 apply (zenon_L293_); trivial. % 11.48/11.65 apply (zenon_L38_); trivial. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.48/11.65 apply (zenon_L130_); trivial. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.48/11.65 apply (zenon_L59_); trivial. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ]. % 11.48/11.65 apply (zenon_L927_); trivial. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ]. % 11.48/11.65 apply (zenon_L799_); trivial. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ]. % 11.48/11.65 apply (zenon_L136_); trivial. % 11.48/11.65 apply (zenon_L201_); trivial. % 11.48/11.65 apply (zenon_L773_); trivial. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.48/11.65 apply (zenon_L61_); trivial. % 11.48/11.65 apply (zenon_L127_); trivial. % 11.48/11.65 (* end of lemma zenon_L929_ *) % 11.48/11.65 assert (zenon_L930_ : ((((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))\/((((op (e1) (e1)) = (e1))/\(((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0)))/\(((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1)))/\(((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2)))/\((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3)))))))\/((((op (e2) (e2)) = (e2))/\(((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0)))/\(((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3)))))))\/(((op (e3) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3)))))))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((e0) = (e1))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((e1) = (e2))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> False). % 11.48/11.65 do 0 intro. intros zenon_H1b0 zenon_Hfb zenon_H187 zenon_H18f zenon_H1b8 zenon_H1d8 zenon_H1db zenon_H10e zenon_H203 zenon_H23c zenon_H251 zenon_Hc4 zenon_H192 zenon_H12d zenon_H20 zenon_H65 zenon_H34 zenon_H161 zenon_H14f zenon_H8d zenon_H226 zenon_H167 zenon_H157 zenon_H15a zenon_H79 zenon_H212 zenon_H1f3 zenon_H105 zenon_H3c zenon_H41 zenon_H10b zenon_H1ca zenon_Hb7 zenon_Hb8 zenon_Hc0 zenon_H1f0 zenon_H141 zenon_H101 zenon_H1e2 zenon_H16a zenon_Hf6 zenon_H1df zenon_Hf0 zenon_He5 zenon_H15d zenon_H106 zenon_Hf3 zenon_H1aa zenon_H27 zenon_H197 zenon_H26a zenon_He3 zenon_H13a zenon_Hfa zenon_Hc8 zenon_H222 zenon_Had zenon_Hb0 zenon_Hb9 zenon_H16e zenon_H194 zenon_H26b zenon_H44 zenon_H49 zenon_H228 zenon_H125 zenon_H13f zenon_H245 zenon_H22e zenon_H113 zenon_H5c zenon_H61 zenon_H69 zenon_H16c zenon_Hcb zenon_H30 zenon_H117 zenon_H90 zenon_H11b zenon_H4c zenon_H122 zenon_H148 zenon_H1cb zenon_H223 zenon_H233. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H51 | zenon_intro zenon_H1b1 ]. % 11.48/11.65 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H25. zenon_intro zenon_H52. % 11.48/11.65 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H1f7. zenon_intro zenon_H1f6. % 11.48/11.65 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H1f9. zenon_intro zenon_H1f8. % 11.48/11.65 apply (zenon_and_s _ _ zenon_H1f8). zenon_intro zenon_H1fb. zenon_intro zenon_H1fa. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H207 | zenon_intro zenon_H6d ]. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_Hcf | zenon_intro zenon_Hb5 ]. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.48/11.65 apply (zenon_L129_); trivial. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.48/11.65 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ]. % 11.48/11.65 apply (zenon_L129_); trivial. % 11.48/11.65 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ]. % 11.48/11.65 apply (zenon_L519_); trivial. % 11.48/11.65 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ]. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.48/11.65 apply (zenon_L3_); trivial. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.48/11.65 apply (zenon_L211_); trivial. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.48/11.65 apply (zenon_L889_); trivial. % 11.48/11.65 apply (zenon_L892_); trivial. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.48/11.65 apply (zenon_L3_); trivial. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.48/11.65 apply (zenon_L211_); trivial. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.48/11.65 apply (zenon_L889_); trivial. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ]. % 11.48/11.65 apply (zenon_L298_); trivial. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ]. % 11.48/11.65 exact (zenon_H207 zenon_H10c). % 11.48/11.65 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ]. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H1e | zenon_intro zenon_H204 ]. % 11.48/11.65 apply (zenon_L2_); trivial. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H10c | zenon_intro zenon_H205 ]. % 11.48/11.65 exact (zenon_H207 zenon_H10c). % 11.48/11.65 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_Hcc | zenon_intro zenon_H120 ]. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H2c | zenon_intro zenon_H109 ]. % 11.48/11.65 apply (zenon_L211_); trivial. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H6c | zenon_intro zenon_H10a ]. % 11.48/11.65 apply (zenon_L893_); trivial. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Ha4 ]. % 11.48/11.65 apply (zenon_L164_); trivial. % 11.48/11.65 apply (zenon_L738_); trivial. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H75 | zenon_intro zenon_H8e ]. % 11.48/11.65 apply (zenon_L895_); trivial. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H78 | zenon_intro zenon_H8f ]. % 11.48/11.65 exact (zenon_H79 zenon_H78). % 11.48/11.65 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H8b ]. % 11.48/11.65 apply (zenon_L69_); trivial. % 11.48/11.65 apply (zenon_L890_); trivial. % 11.48/11.65 apply (zenon_L38_); trivial. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.48/11.65 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ]. % 11.48/11.65 apply (zenon_L129_); trivial. % 11.48/11.65 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ]. % 11.48/11.65 apply (zenon_L519_); trivial. % 11.48/11.65 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ]. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.48/11.65 apply (zenon_L3_); trivial. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.48/11.65 apply (zenon_L898_); trivial. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.48/11.65 apply (zenon_L6_); trivial. % 11.48/11.65 apply (zenon_L892_); trivial. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.48/11.65 apply (zenon_L3_); trivial. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.48/11.65 apply (zenon_L898_); trivial. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.48/11.65 apply (zenon_L6_); trivial. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.48/11.65 apply (zenon_L7_); trivial. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ]. % 11.48/11.65 apply (zenon_L298_); trivial. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ]. % 11.48/11.65 exact (zenon_H207 zenon_H10c). % 11.48/11.65 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ]. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H1f | zenon_intro zenon_H107 ]. % 11.48/11.65 apply (zenon_L130_); trivial. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H56 | zenon_intro zenon_H108 ]. % 11.48/11.65 apply (zenon_L247_); trivial. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hc5 | zenon_intro zenon_He6 ]. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H2c | zenon_intro zenon_H109 ]. % 11.48/11.65 apply (zenon_L65_); trivial. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H6c | zenon_intro zenon_H10a ]. % 11.48/11.65 apply (zenon_L893_); trivial. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Ha4 ]. % 11.48/11.65 apply (zenon_L95_); trivial. % 11.48/11.65 apply (zenon_L738_); trivial. % 11.48/11.65 apply (zenon_L146_); trivial. % 11.48/11.65 apply (zenon_L38_); trivial. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.48/11.65 apply (zenon_L9_); trivial. % 11.48/11.65 apply (zenon_L11_); trivial. % 11.48/11.65 apply (zenon_L127_); trivial. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.48/11.65 apply (zenon_L129_); trivial. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.48/11.65 apply (zenon_L899_); trivial. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.48/11.65 apply (zenon_L901_); trivial. % 11.48/11.65 apply (zenon_L127_); trivial. % 11.48/11.65 apply (zenon_L519_); trivial. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H53 | zenon_intro zenon_H1b2 ]. % 11.48/11.65 apply (zenon_L759_); trivial. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H132 | zenon_intro zenon_H15f ]. % 11.48/11.65 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H5a. zenon_intro zenon_H133. % 11.48/11.65 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H135. zenon_intro zenon_H134. % 11.48/11.65 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H137. zenon_intro zenon_H136. % 11.48/11.65 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_H139. zenon_intro zenon_H138. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H2b | zenon_intro zenon_Hd0 ]. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H68 | zenon_intro zenon_H88 ]. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hec ]. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H25 | zenon_intro zenon_H190 ]. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.48/11.65 apply (zenon_L129_); trivial. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.48/11.65 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ]. % 11.48/11.65 apply (zenon_L129_); trivial. % 11.48/11.65 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ]. % 11.48/11.65 apply (zenon_L760_); trivial. % 11.48/11.65 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ]. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.48/11.65 exact (zenon_H2b zenon_H26). % 11.48/11.65 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.48/11.65 apply (zenon_L211_); trivial. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.48/11.65 apply (zenon_L23_); trivial. % 11.48/11.65 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H26 | zenon_intro zenon_Hbc ]. % 11.48/11.65 exact (zenon_H2b zenon_H26). % 11.48/11.65 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H58 | zenon_intro zenon_Hbd ]. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.48/11.65 apply (zenon_L7_); trivial. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.48/11.65 apply (zenon_L763_); trivial. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ]. % 11.48/11.65 apply (zenon_L7_); trivial. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ]. % 11.48/11.65 apply (zenon_L768_); trivial. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ]. % 11.48/11.65 apply (zenon_L136_); trivial. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ]. % 11.48/11.65 apply (zenon_L326_); trivial. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ]. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H75 | zenon_intro zenon_H8e ]. % 11.48/11.65 apply (zenon_L768_); trivial. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H78 | zenon_intro zenon_H8f ]. % 11.48/11.65 exact (zenon_H79 zenon_H78). % 11.48/11.65 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H8b ]. % 11.48/11.65 apply (zenon_L291_); trivial. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H2e | zenon_intro zenon_H22f ]. % 11.48/11.65 apply (zenon_L908_); trivial. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H88 | zenon_intro zenon_H230 ]. % 11.48/11.65 apply (zenon_L391_); trivial. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H11f | zenon_intro zenon_H1d9 ]. % 11.48/11.65 apply (zenon_L505_); trivial. % 11.48/11.65 apply (zenon_L909_); trivial. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ]. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H75 | zenon_intro zenon_H8e ]. % 11.48/11.65 apply (zenon_L910_); trivial. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H78 | zenon_intro zenon_H8f ]. % 11.48/11.65 exact (zenon_H79 zenon_H78). % 11.48/11.65 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H8b ]. % 11.48/11.65 apply (zenon_L119_); trivial. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H2e | zenon_intro zenon_H22f ]. % 11.48/11.65 apply (zenon_L9_); trivial. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H88 | zenon_intro zenon_H230 ]. % 11.48/11.65 apply (zenon_L92_); trivial. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H11f | zenon_intro zenon_H1d9 ]. % 11.48/11.65 apply (zenon_L640_); trivial. % 11.48/11.65 apply (zenon_L909_); trivial. % 11.48/11.65 apply (zenon_L758_); trivial. % 11.48/11.65 apply (zenon_L11_); trivial. % 11.48/11.65 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H9a ]. % 11.48/11.65 apply (zenon_L108_); trivial. % 11.48/11.65 apply (zenon_L769_); trivial. % 11.48/11.65 apply (zenon_L773_); trivial. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.48/11.65 apply (zenon_L908_); trivial. % 11.48/11.65 apply (zenon_L127_); trivial. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H1e | zenon_intro zenon_H191 ]. % 11.48/11.65 apply (zenon_L849_); trivial. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H72 ]. % 11.48/11.65 apply (zenon_L929_); trivial. % 11.48/11.65 exact (zenon_H26b zenon_H72). % 11.48/11.65 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H25 | zenon_intro zenon_H190 ]. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.48/11.65 apply (zenon_L129_); trivial. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.48/11.65 apply (zenon_L814_); trivial. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.48/11.65 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ]. % 11.48/11.65 apply (zenon_L129_); trivial. % 11.48/11.65 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ]. % 11.48/11.65 apply (zenon_L819_); trivial. % 11.48/11.65 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ]. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.48/11.65 exact (zenon_H2b zenon_H26). % 11.48/11.65 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.48/11.65 apply (zenon_L7_); trivial. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.48/11.65 apply (zenon_L65_); trivial. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.48/11.65 apply (zenon_L9_); trivial. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H58 | zenon_intro zenon_H6a ]. % 11.48/11.65 apply (zenon_L812_); trivial. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6c | zenon_intro zenon_H6b ]. % 11.48/11.65 exact (zenon_H68 zenon_H6c). % 11.48/11.65 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H5b | zenon_intro zenon_H62 ]. % 11.48/11.65 apply (zenon_L21_); trivial. % 11.48/11.65 apply (zenon_L886_); trivial. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.48/11.65 apply (zenon_L6_); trivial. % 11.48/11.65 apply (zenon_L813_); trivial. % 11.48/11.65 apply (zenon_L820_); trivial. % 11.48/11.65 apply (zenon_L127_); trivial. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H1e | zenon_intro zenon_H191 ]. % 11.48/11.65 apply (zenon_L884_); trivial. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H72 ]. % 11.48/11.65 apply (zenon_L827_); trivial. % 11.48/11.65 exact (zenon_H26b zenon_H72). % 11.48/11.65 apply (zenon_L391_); trivial. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H68 | zenon_intro zenon_H88 ]. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hec ]. % 11.48/11.65 apply (zenon_L929_); trivial. % 11.48/11.65 apply (zenon_L827_); trivial. % 11.48/11.65 apply (zenon_L391_); trivial. % 11.48/11.65 apply (zenon_L456_); trivial. % 11.48/11.65 (* end of lemma zenon_L930_ *) % 11.48/11.65 assert (zenon_L931_ : (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e3) (e3)) = (e1))) -> ((op (e3) (e0)) = (e1)) -> ((op (e3) (e2)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e3)) -> False). % 11.48/11.65 do 0 intro. intros zenon_Hf0 zenon_H9e zenon_H1e5 zenon_H99 zenon_Hf7 zenon_H15d zenon_H15e. % 11.48/11.65 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf1 ]. % 11.48/11.65 exact (zenon_H9e zenon_H9d). % 11.48/11.65 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_He7 | zenon_intro zenon_Hf2 ]. % 11.48/11.65 exact (zenon_H1e5 zenon_He7). % 11.48/11.65 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_Hb4 | zenon_intro zenon_Hed ]. % 11.48/11.65 apply (zenon_L541_); trivial. % 11.48/11.65 apply (zenon_L141_); trivial. % 11.48/11.65 (* end of lemma zenon_L931_ *) % 11.48/11.65 assert (zenon_L932_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e2)) = (e0)) -> (~((op (e3) (e3)) = (e0))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e1))) -> False). % 11.48/11.65 do 0 intro. intros zenon_H1f0 zenon_H15e zenon_H15d zenon_Hf7 zenon_H9e zenon_Hf0 zenon_H56 zenon_H1f3 zenon_H2e zenon_H101 zenon_H1e5. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H99 | zenon_intro zenon_H1f1 ]. % 11.48/11.65 apply (zenon_L931_); trivial. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_He6 | zenon_intro zenon_H1f2 ]. % 11.48/11.65 apply (zenon_L278_); trivial. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H1d9 | zenon_intro zenon_He7 ]. % 11.48/11.65 apply (zenon_L476_); trivial. % 11.48/11.65 exact (zenon_H1e5 zenon_He7). % 11.48/11.65 (* end of lemma zenon_L932_ *) % 11.48/11.65 assert (zenon_L933_ : (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e3) (e3)) = (e0))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e3) (e0)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e3) (e2)) = (e2)) -> (~((e2) = (e3))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e3) (e2)) = (e0)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> False). % 11.48/11.65 do 0 intro. intros zenon_H251 zenon_H1e5 zenon_H101 zenon_H2e zenon_H9e zenon_H1f0 zenon_H99 zenon_H15d zenon_H13a zenon_H72 zenon_Hf0 zenon_Hae zenon_H41 zenon_H223 zenon_Hf7 zenon_H1d8 zenon_H56 zenon_H1f3 zenon_H2c zenon_H222 zenon_He5. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H15e | zenon_intro zenon_H253 ]. % 11.48/11.65 apply (zenon_L932_); trivial. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ]. % 11.48/11.65 apply (zenon_L542_); trivial. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_Hec | zenon_intro zenon_Hed ]. % 11.48/11.65 apply (zenon_L271_); trivial. % 11.48/11.65 apply (zenon_L356_); trivial. % 11.48/11.65 (* end of lemma zenon_L933_ *) % 11.48/11.65 assert (zenon_L934_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> ((op (e1) (e0)) = (e0)) -> ((op (e2) (e0)) = (e2)) -> ((((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))\/((((op (e1) (e1)) = (e1))/\(((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0)))/\(((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1)))/\(((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2)))/\((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3)))))))\/((((op (e2) (e2)) = (e2))/\(((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0)))/\(((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3)))))))\/(((op (e3) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3)))))))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((e2) = (e3))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> False). % 11.48/11.65 do 0 intro. intros zenon_H161 zenon_H38 zenon_H57 zenon_Hb5 zenon_H1b0 zenon_Hfa zenon_H1ca zenon_H23c zenon_H154 zenon_Hcb zenon_H167 zenon_H141 zenon_H61 zenon_H117 zenon_Hb7 zenon_H1f0 zenon_H10b zenon_H157 zenon_H16e zenon_H11b zenon_H1f3 zenon_H16a zenon_H223 zenon_H234 zenon_H12d zenon_H197 zenon_H192 zenon_H228 zenon_H3c zenon_H34 zenon_H22e zenon_H10e zenon_H125 zenon_H5c zenon_H13f zenon_H245 zenon_H18f zenon_H101 zenon_H122 zenon_H105 zenon_He5 zenon_Hf0 zenon_Hb9 zenon_H9e zenon_H95 zenon_H212 zenon_H8d zenon_H27 zenon_Hc4 zenon_Hc0 zenon_H226 zenon_H242 zenon_H216 zenon_H20 zenon_Hb8 zenon_Hf6 zenon_H30 zenon_H44 zenon_H1e2 zenon_H49 zenon_H65 zenon_H41 zenon_H222 zenon_Had zenon_Hb0 zenon_H13a zenon_H4c zenon_H15d. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ]. % 11.48/11.65 exact (zenon_H38 zenon_H33). % 11.48/11.65 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ]. % 11.48/11.65 apply (zenon_L118_); trivial. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ]. % 11.48/11.65 apply (zenon_L233_); trivial. % 11.48/11.65 apply (zenon_L515_); trivial. % 11.48/11.65 (* end of lemma zenon_L934_ *) % 11.48/11.65 assert (zenon_L935_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e2))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (e3))) -> (~((e1) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e1))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e2)) -> (~((e0) = (e3))) -> ((op (e3) (e0)) = (e0)) -> False). % 11.48/11.65 do 0 intro. intros zenon_H161 zenon_H38 zenon_H117 zenon_Hcf zenon_Hcb zenon_H1e zenon_H27 zenon_Hfa zenon_H92 zenon_H141 zenon_H79 zenon_H3c zenon_H8d zenon_He5 zenon_H222 zenon_H2c zenon_H1f3 zenon_H16a zenon_H223 zenon_H20 zenon_H69 zenon_H16c zenon_H255 zenon_H16e zenon_H61 zenon_Hed zenon_H13a zenon_H207 zenon_H113 zenon_H41 zenon_Hb5 zenon_H34 zenon_Hc3. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ]. % 11.48/11.65 exact (zenon_H38 zenon_H33). % 11.48/11.65 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ]. % 11.48/11.65 apply (zenon_L558_); trivial. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ]. % 11.48/11.65 apply (zenon_L233_); trivial. % 11.48/11.65 apply (zenon_L201_); trivial. % 11.48/11.65 (* end of lemma zenon_L935_ *) % 11.48/11.65 assert (zenon_L936_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e2)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e2)) -> ((op (e3) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False). % 11.48/11.65 do 0 intro. intros zenon_H44 zenon_H38 zenon_He3 zenon_He2 zenon_Hcb zenon_Hb5 zenon_H167 zenon_H41 zenon_H2f zenon_Hed zenon_H13a. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.48/11.65 exact (zenon_H38 zenon_H33). % 11.48/11.65 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.48/11.65 apply (zenon_L243_); trivial. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.48/11.65 apply (zenon_L13_); trivial. % 11.48/11.65 apply (zenon_L113_); trivial. % 11.48/11.65 (* end of lemma zenon_L936_ *) % 11.48/11.65 assert (zenon_L937_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e0)) = (e1)) -> ((op (e1) (e0)) = (e0)) -> ((op (e2) (e0)) = (e2)) -> ((((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))\/((((op (e1) (e1)) = (e1))/\(((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0)))/\(((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1)))/\(((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2)))/\((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3)))))))\/((((op (e2) (e2)) = (e2))/\(((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0)))/\(((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3)))))))\/(((op (e3) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3)))))))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((e2) = (e3))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> False). % 11.48/11.65 do 0 intro. intros zenon_H161 zenon_H4f zenon_H57 zenon_Hb5 zenon_H1b0 zenon_Hfa zenon_H1ca zenon_H23c zenon_H154 zenon_Hcb zenon_H167 zenon_H141 zenon_H61 zenon_H117 zenon_Hb7 zenon_H1f0 zenon_H10b zenon_H157 zenon_H16e zenon_H11b zenon_H1f3 zenon_H16a zenon_H223 zenon_H234 zenon_H12d zenon_H197 zenon_H192 zenon_H228 zenon_H3c zenon_H34 zenon_H22e zenon_H10e zenon_H125 zenon_H5c zenon_H13f zenon_H245 zenon_H18f zenon_H101 zenon_H122 zenon_H105 zenon_He5 zenon_Hf0 zenon_Hb9 zenon_H9e zenon_H95 zenon_H212 zenon_H8d zenon_H27 zenon_Hc4 zenon_Hc0 zenon_H226 zenon_H242 zenon_H216 zenon_H20 zenon_Hb8 zenon_Hf6 zenon_H30 zenon_H44 zenon_H1e2 zenon_H49 zenon_H65 zenon_H41 zenon_H222 zenon_Had zenon_Hb0 zenon_H13a zenon_H4c zenon_H15d. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ]. % 11.48/11.65 apply (zenon_L58_); trivial. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ]. % 11.48/11.65 apply (zenon_L118_); trivial. % 11.48/11.65 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ]. % 11.48/11.65 apply (zenon_L233_); trivial. % 11.48/11.65 apply (zenon_L515_); trivial. % 11.48/11.65 (* end of lemma zenon_L937_ *) % 11.48/11.65 assert (zenon_L938_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e2)) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e2)) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e0)) = (e2)) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e2) (e2)) = (e0))) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False). % 11.48/11.66 do 0 intro. intros zenon_H8d zenon_H10e zenon_H79 zenon_H1e2 zenon_H33 zenon_H16a zenon_Ha4 zenon_H92 zenon_H212 zenon_H10b zenon_H1f zenon_Heb zenon_He2 zenon_H3c zenon_H2f zenon_H41 zenon_Hf3 zenon_H197 zenon_H27 zenon_H95 zenon_Hb5 zenon_H194 zenon_H16e zenon_H117 zenon_H61 zenon_H72 zenon_H154 zenon_He3 zenon_Hf6 zenon_H1df zenon_Hcf zenon_H34 zenon_Hfb zenon_Hed zenon_H141. % 11.48/11.66 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H75 | zenon_intro zenon_H8e ]. % 11.48/11.66 apply (zenon_L560_); trivial. % 11.48/11.66 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H78 | zenon_intro zenon_H8f ]. % 11.48/11.66 exact (zenon_H79 zenon_H78). % 11.48/11.66 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H8b ]. % 11.48/11.66 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hd0 | zenon_intro zenon_Hfe ]. % 11.48/11.66 apply (zenon_L57_); trivial. % 11.48/11.66 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_He0 | zenon_intro zenon_Hff ]. % 11.48/11.66 apply (zenon_L69_); trivial. % 11.48/11.66 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Hce | zenon_intro zenon_Hf7 ]. % 11.48/11.66 exact (zenon_Hcf zenon_Hce). % 11.48/11.66 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H1e0 ]. % 11.48/11.66 apply (zenon_L77_); trivial. % 11.48/11.66 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H99 | zenon_intro zenon_H1e1 ]. % 11.48/11.66 apply (zenon_L340_); trivial. % 11.48/11.66 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H9a | zenon_intro zenon_H15e ]. % 11.48/11.66 apply (zenon_L268_); trivial. % 11.48/11.66 apply (zenon_L478_); trivial. % 11.48/11.66 apply (zenon_L120_); trivial. % 11.48/11.66 (* end of lemma zenon_L938_ *) % 11.48/11.66 assert (zenon_L939_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e1)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e2) (e2)) = (e0))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e2)) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((op (e1) (e3)) = (e2)) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e2) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False). % 11.48/11.66 do 0 intro. intros zenon_Hb0 zenon_H226 zenon_He3 zenon_H16e zenon_H194 zenon_Hb5 zenon_H95 zenon_H197 zenon_H3c zenon_H1f zenon_H10b zenon_H212 zenon_H92 zenon_H1e2 zenon_H33 zenon_Hf6 zenon_H16a zenon_He6 zenon_H8d zenon_Heb zenon_He2 zenon_H10e zenon_Hf3 zenon_H79 zenon_Hcf zenon_H34 zenon_H2f zenon_H27 zenon_Hfb zenon_H62 zenon_H41 zenon_H1df zenon_H154 zenon_H72 zenon_H61 zenon_H118 zenon_H117 zenon_Hed zenon_H141. % 11.48/11.66 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H9a | zenon_intro zenon_Hb2 ]. % 11.48/11.66 apply (zenon_L361_); trivial. % 11.48/11.66 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Hb3 ]. % 11.48/11.66 apply (zenon_L938_); trivial. % 11.48/11.66 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_Hae | zenon_intro zenon_Hb4 ]. % 11.48/11.66 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H1e0 ]. % 11.48/11.66 apply (zenon_L571_); trivial. % 11.48/11.66 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H99 | zenon_intro zenon_H1e1 ]. % 11.48/11.66 apply (zenon_L146_); trivial. % 11.48/11.66 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H9a | zenon_intro zenon_H15e ]. % 11.48/11.66 apply (zenon_L256_); trivial. % 11.48/11.66 apply (zenon_L478_); trivial. % 11.48/11.66 apply (zenon_L337_); trivial. % 11.48/11.66 (* end of lemma zenon_L939_ *) % 11.48/11.66 assert (zenon_L940_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (~((e0) = (e3))) -> (~((op (e1) (e1)) = (e0))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e2) (e2)) = (e3))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e1))) -> False). % 11.48/11.66 do 0 intro. intros zenon_H4c zenon_H161 zenon_He5 zenon_H222 zenon_H1f3 zenon_H16a zenon_H223 zenon_H27 zenon_H92 zenon_H212 zenon_H10b zenon_Heb zenon_H3c zenon_H41 zenon_Hf3 zenon_H197 zenon_H95 zenon_H194 zenon_H16e zenon_H141 zenon_H117 zenon_H61 zenon_H154 zenon_Hed zenon_He3 zenon_H30 zenon_H1aa zenon_H49 zenon_H8d zenon_H79 zenon_H34 zenon_H207 zenon_Hc3 zenon_Hf6 zenon_Hfb zenon_H113 zenon_H167 zenon_Hcb zenon_H44 zenon_Hb7 zenon_He2 zenon_Hb5 zenon_Hc0 zenon_H65 zenon_Hcf zenon_H19c zenon_H72 zenon_H20. % 11.48/11.66 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.48/11.66 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.48/11.66 apply (zenon_L160_); trivial. % 11.48/11.66 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.48/11.66 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ]. % 11.48/11.66 apply (zenon_L58_); trivial. % 11.48/11.66 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ]. % 11.48/11.66 apply (zenon_L576_); trivial. % 11.48/11.66 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ]. % 11.48/11.66 apply (zenon_L233_); trivial. % 11.48/11.66 apply (zenon_L201_); trivial. % 11.48/11.66 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.48/11.66 apply (zenon_L567_); trivial. % 11.48/11.66 apply (zenon_L180_); trivial. % 11.48/11.66 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.48/11.66 apply (zenon_L577_); trivial. % 11.48/11.66 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.48/11.66 apply (zenon_L579_); trivial. % 11.48/11.66 apply (zenon_L182_); trivial. % 11.48/11.66 (* end of lemma zenon_L940_ *) % 11.48/11.66 assert (zenon_L941_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((e0) = (e1))) -> ((op (e0) (e3)) = (e0)) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (e0))) -> (~((e0) = (e3))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((e1) = (e2))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((e0) = (e2))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((op (e3) (e3)) = (e1)) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> False). % 11.48/11.66 do 0 intro. intros zenon_H1df zenon_H20 zenon_H72 zenon_H19c zenon_Hcf zenon_H65 zenon_Hc0 zenon_He2 zenon_Hb7 zenon_H44 zenon_Hcb zenon_H167 zenon_H113 zenon_Hfb zenon_Hf6 zenon_H207 zenon_H34 zenon_H79 zenon_H8d zenon_H49 zenon_H1aa zenon_H30 zenon_He3 zenon_H154 zenon_H61 zenon_H117 zenon_H141 zenon_H16e zenon_H194 zenon_H95 zenon_H197 zenon_Hf3 zenon_H41 zenon_H3c zenon_Heb zenon_H10b zenon_H212 zenon_H92 zenon_H27 zenon_H223 zenon_H16a zenon_H1f3 zenon_H222 zenon_He5 zenon_H161 zenon_H4c zenon_He7 zenon_Hb5 zenon_H226 zenon_H15d zenon_Hed. % 11.48/11.66 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H1e0 ]. % 11.48/11.66 apply (zenon_L940_); trivial. % 11.48/11.66 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H99 | zenon_intro zenon_H1e1 ]. % 11.48/11.66 apply (zenon_L262_); trivial. % 11.48/11.66 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H9a | zenon_intro zenon_H15e ]. % 11.48/11.66 apply (zenon_L361_); trivial. % 11.48/11.66 apply (zenon_L141_); trivial. % 11.48/11.66 (* end of lemma zenon_L941_ *) % 11.48/11.66 assert (zenon_L942_ : (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((op (e1) (e3)) = (e2)) -> ((op (e0) (e2)) = (e2)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e3) (e1)) = (e1)) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e1)) = (e1)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((e0) = (e1))) -> ((op (e0) (e3)) = (e0)) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (e0))) -> (~((e0) = (e3))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((e1) = (e2))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((e0) = (e2))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> False). % 11.48/11.66 do 0 intro. intros zenon_H1d5 zenon_H71 zenon_H62 zenon_H2f zenon_H10e zenon_He6 zenon_H33 zenon_H1e2 zenon_H1f zenon_Hb0 zenon_H1df zenon_H20 zenon_H72 zenon_H19c zenon_Hcf zenon_H65 zenon_Hc0 zenon_He2 zenon_Hb7 zenon_H44 zenon_Hcb zenon_H167 zenon_H113 zenon_Hfb zenon_Hf6 zenon_H207 zenon_H34 zenon_H79 zenon_H8d zenon_H49 zenon_H1aa zenon_H30 zenon_He3 zenon_H154 zenon_H61 zenon_H117 zenon_H141 zenon_H16e zenon_H194 zenon_H95 zenon_H197 zenon_Hf3 zenon_H41 zenon_H3c zenon_Heb zenon_H10b zenon_H212 zenon_H92 zenon_H27 zenon_H223 zenon_H16a zenon_H1f3 zenon_H222 zenon_He5 zenon_H161 zenon_H4c zenon_Hb5 zenon_H226 zenon_H15d zenon_Hed. % 11.48/11.66 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H47 | zenon_intro zenon_H1d6 ]. % 11.48/11.66 apply (zenon_L199_); trivial. % 11.48/11.66 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H90 | zenon_intro zenon_H1d7 ]. % 11.48/11.66 apply (zenon_L333_); trivial. % 11.48/11.66 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H118 | zenon_intro zenon_He7 ]. % 11.48/11.66 apply (zenon_L939_); trivial. % 11.48/11.66 apply (zenon_L941_); trivial. % 11.48/11.66 (* end of lemma zenon_L942_ *) % 11.48/11.66 assert (zenon_L943_ : (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e2) (e0)) = (e2)) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (~((e0) = (e3))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e3)) -> ((op (e3) (e1)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e2) (e3)) = (e1)) -> (~((e1) = (e2))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False). % 11.48/11.66 do 0 intro. intros zenon_H15d zenon_H226 zenon_Hb5 zenon_H4c zenon_H161 zenon_He5 zenon_H222 zenon_H1f3 zenon_H16a zenon_H223 zenon_H27 zenon_H92 zenon_H212 zenon_H10b zenon_Heb zenon_H3c zenon_H41 zenon_Hf3 zenon_H197 zenon_H95 zenon_H1aa zenon_H49 zenon_H8d zenon_H79 zenon_H34 zenon_H207 zenon_Hf6 zenon_Hfb zenon_H113 zenon_H167 zenon_Hcb zenon_H44 zenon_Hb7 zenon_He2 zenon_Hc0 zenon_H65 zenon_Hcf zenon_H19c zenon_H20 zenon_H1df zenon_Hb0 zenon_H1f zenon_H1e2 zenon_H33 zenon_He6 zenon_H10e zenon_H2f zenon_H71 zenon_H1d5 zenon_H118 zenon_H30 zenon_H194 zenon_H16e zenon_H141 zenon_H117 zenon_H61 zenon_H72 zenon_H154 zenon_Hed zenon_He3. % 11.48/11.66 apply (zenon_or_s _ _ zenon_H197); [ zenon_intro zenon_H3f | zenon_intro zenon_H198 ]. % 11.48/11.66 apply (zenon_L180_); trivial. % 11.48/11.66 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H62 | zenon_intro zenon_H199 ]. % 11.48/11.66 apply (zenon_L942_); trivial. % 11.48/11.66 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H18a | zenon_intro zenon_Hb4 ]. % 11.48/11.66 apply (zenon_L245_); trivial. % 11.48/11.66 apply (zenon_L338_); trivial. % 11.48/11.66 (* end of lemma zenon_L943_ *) % 11.48/11.66 assert (zenon_L944_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((op (e3) (e2)) = (e0)) -> ((op (e3) (e2)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> False). % 11.48/11.66 do 0 intro. intros zenon_H1df zenon_Hf7 zenon_H1d9 zenon_Hf6 zenon_Ha4 zenon_H16a zenon_H33 zenon_H1e2. % 11.48/11.66 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H1e0 ]. % 11.48/11.66 apply (zenon_L77_); trivial. % 11.48/11.66 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H99 | zenon_intro zenon_H1e1 ]. % 11.48/11.66 apply (zenon_L534_); trivial. % 11.48/11.66 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H9a | zenon_intro zenon_H15e ]. % 11.48/11.66 apply (zenon_L268_); trivial. % 11.48/11.66 apply (zenon_L478_); trivial. % 11.48/11.66 (* end of lemma zenon_L944_ *) % 11.48/11.66 assert (zenon_L945_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((op (e3) (e2)) = (e0)) -> ((op (e3) (e2)) = (e1)) -> ((op (e3) (e2)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> False). % 11.48/11.66 do 0 intro. intros zenon_H1df zenon_Hf7 zenon_H1d9 zenon_Hae zenon_Hf6 zenon_H15d zenon_Hed. % 11.48/11.66 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H1e0 ]. % 11.48/11.66 apply (zenon_L77_); trivial. % 11.48/11.66 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H99 | zenon_intro zenon_H1e1 ]. % 11.48/11.66 apply (zenon_L534_); trivial. % 11.48/11.66 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H9a | zenon_intro zenon_H15e ]. % 11.48/11.66 apply (zenon_L256_); trivial. % 11.48/11.66 apply (zenon_L141_); trivial. % 11.48/11.66 (* end of lemma zenon_L945_ *) % 11.48/11.66 assert (zenon_L946_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e1)) -> ((op (e3) (e2)) = (e0)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False). % 11.48/11.66 do 0 intro. intros zenon_Hb0 zenon_Hb5 zenon_H226 zenon_H1e2 zenon_H33 zenon_H16a zenon_H15d zenon_Hf6 zenon_H1d9 zenon_Hf7 zenon_H1df zenon_H194 zenon_H16e zenon_H141 zenon_H117 zenon_H61 zenon_H72 zenon_H154 zenon_Hed zenon_He3. % 11.48/11.66 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H9a | zenon_intro zenon_Hb2 ]. % 11.48/11.66 apply (zenon_L361_); trivial. % 11.48/11.66 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Hb3 ]. % 11.48/11.66 apply (zenon_L944_); trivial. % 11.48/11.66 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_Hae | zenon_intro zenon_Hb4 ]. % 11.48/11.66 apply (zenon_L945_); trivial. % 11.48/11.66 apply (zenon_L338_); trivial. % 11.48/11.66 (* end of lemma zenon_L946_ *) % 11.48/11.66 assert (zenon_L947_ : (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))\/((((op (e1) (e1)) = (e1))/\(((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0)))/\(((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1)))/\(((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2)))/\((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3)))))))\/((((op (e2) (e2)) = (e2))/\(((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0)))/\(((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3)))))))\/(((op (e3) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3)))))))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (~((e0) = (e3))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e2) (e2)) = (e3))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e1))) -> False). % 11.48/11.66 do 0 intro. intros zenon_H15d zenon_H226 zenon_H1df zenon_Hb0 zenon_H1e2 zenon_H1d5 zenon_H71 zenon_H10e zenon_H1f0 zenon_H1b0 zenon_Hfa zenon_H1ca zenon_H23c zenon_H157 zenon_H11b zenon_H234 zenon_H12d zenon_H192 zenon_H228 zenon_H22e zenon_H125 zenon_H5c zenon_H13f zenon_H245 zenon_H18f zenon_H101 zenon_H122 zenon_H105 zenon_Hf0 zenon_Hb9 zenon_H9e zenon_Hc4 zenon_H242 zenon_H216 zenon_Hb8 zenon_Had zenon_H13a zenon_H4c zenon_H161 zenon_He5 zenon_H222 zenon_H1f3 zenon_H16a zenon_H223 zenon_H27 zenon_H92 zenon_H212 zenon_H10b zenon_Heb zenon_H3c zenon_H41 zenon_Hf3 zenon_H197 zenon_H95 zenon_H194 zenon_H16e zenon_H141 zenon_H117 zenon_H61 zenon_H154 zenon_Hed zenon_He3 zenon_H30 zenon_H1aa zenon_H49 zenon_H8d zenon_H79 zenon_H34 zenon_H207 zenon_Hf6 zenon_Hfb zenon_H113 zenon_H167 zenon_Hcb zenon_H44 zenon_Hb7 zenon_He2 zenon_Hb5 zenon_Hc0 zenon_H65 zenon_Hcf zenon_H19c zenon_H72 zenon_H20. % 11.48/11.66 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H25 | zenon_intro zenon_H12e ]. % 11.48/11.66 exact (zenon_H234 zenon_H25). % 11.48/11.66 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H57 | zenon_intro zenon_H12f ]. % 11.48/11.66 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.48/11.66 apply (zenon_L937_); trivial. % 11.48/11.66 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.48/11.66 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.48/11.66 apply (zenon_L208_); trivial. % 11.48/11.66 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.48/11.66 apply (zenon_L211_); trivial. % 11.48/11.66 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.48/11.66 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.48/11.66 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H75 | zenon_intro zenon_H8e ]. % 11.48/11.66 apply (zenon_L560_); trivial. % 11.48/11.66 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H78 | zenon_intro zenon_H8f ]. % 11.48/11.66 exact (zenon_H79 zenon_H78). % 11.48/11.66 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H8b ]. % 11.48/11.66 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hd0 | zenon_intro zenon_Hfe ]. % 11.48/11.66 apply (zenon_L57_); trivial. % 11.48/11.66 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_He0 | zenon_intro zenon_Hff ]. % 11.48/11.66 apply (zenon_L69_); trivial. % 11.48/11.66 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Hce | zenon_intro zenon_Hf7 ]. % 11.48/11.66 exact (zenon_Hcf zenon_Hce). % 11.48/11.66 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H99 | zenon_intro zenon_H1f1 ]. % 11.48/11.66 apply (zenon_L340_); trivial. % 11.48/11.66 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_He6 | zenon_intro zenon_H1f2 ]. % 11.48/11.66 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H47 | zenon_intro zenon_H1d6 ]. % 11.48/11.66 apply (zenon_L182_); trivial. % 11.48/11.66 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H90 | zenon_intro zenon_H1d7 ]. % 11.48/11.66 apply (zenon_L339_); trivial. % 11.48/11.66 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H118 | zenon_intro zenon_He7 ]. % 11.48/11.66 apply (zenon_L943_); trivial. % 11.48/11.66 apply (zenon_L72_); trivial. % 11.48/11.66 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H1d9 | zenon_intro zenon_He7 ]. % 11.48/11.66 apply (zenon_L946_); trivial. % 11.48/11.66 apply (zenon_L941_); trivial. % 11.48/11.66 apply (zenon_L120_); trivial. % 11.48/11.66 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.48/11.66 apply (zenon_L243_); trivial. % 11.48/11.66 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.48/11.66 apply (zenon_L13_); trivial. % 11.48/11.66 apply (zenon_L379_); trivial. % 11.48/11.66 apply (zenon_L180_); trivial. % 11.48/11.66 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.48/11.66 apply (zenon_L579_); trivial. % 11.48/11.66 apply (zenon_L182_); trivial. % 11.48/11.66 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H6e | zenon_intro zenon_Hc3 ]. % 11.48/11.66 apply (zenon_L48_); trivial. % 11.48/11.66 apply (zenon_L940_); trivial. % 11.48/11.66 (* end of lemma zenon_L947_ *) % 11.48/11.66 assert (zenon_L948_ : (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e0) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))\/((((op (e1) (e1)) = (e1))/\(((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0)))/\(((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1)))/\(((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2)))/\((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3)))))))\/((((op (e2) (e2)) = (e2))/\(((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0)))/\(((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3)))))))\/(((op (e3) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3)))))))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((e1) = (e3))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((e0) = (e1))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e2) (e2)) = (e3))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> False). % 11.48/11.66 do 0 intro. intros zenon_H41 zenon_H161 zenon_H38 zenon_Hfb zenon_H27 zenon_Hf6 zenon_H16c zenon_H69 zenon_H34 zenon_H44 zenon_He3 zenon_Hcb zenon_H167 zenon_Hed zenon_H13a zenon_H255 zenon_Heb zenon_H15f zenon_Hf3 zenon_H1b0 zenon_Hfa zenon_H1ca zenon_H23c zenon_H154 zenon_H141 zenon_H117 zenon_Hb7 zenon_H1f0 zenon_H10b zenon_H157 zenon_H16e zenon_H11b zenon_H1f3 zenon_H16a zenon_H223 zenon_H234 zenon_H12d zenon_H197 zenon_H192 zenon_H228 zenon_H3c zenon_H22e zenon_H10e zenon_H125 zenon_H5c zenon_H13f zenon_H245 zenon_H18f zenon_H101 zenon_H122 zenon_H105 zenon_He5 zenon_Hf0 zenon_Hb9 zenon_H9e zenon_H95 zenon_H212 zenon_H8d zenon_Hc4 zenon_H226 zenon_H242 zenon_H216 zenon_Hb8 zenon_H30 zenon_H1e2 zenon_H49 zenon_H222 zenon_Had zenon_Hb0 zenon_H4c zenon_H15d zenon_H20 zenon_H1e zenon_He2 zenon_Hb5 zenon_Hc0 zenon_H65 zenon_Hcf zenon_H19c zenon_H61 zenon_H90. % 11.48/11.66 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H25 | zenon_intro zenon_H12e ]. % 11.48/11.66 exact (zenon_H234 zenon_H25). % 11.48/11.66 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H57 | zenon_intro zenon_H12f ]. % 11.48/11.66 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.48/11.66 apply (zenon_L937_); trivial. % 11.48/11.66 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.48/11.66 apply (zenon_L2_); trivial. % 11.48/11.66 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.48/11.66 apply (zenon_L579_); trivial. % 11.48/11.66 apply (zenon_L127_); trivial. % 11.48/11.66 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H6e | zenon_intro zenon_Hc3 ]. % 11.48/11.66 apply (zenon_L48_); trivial. % 11.48/11.66 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.48/11.66 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.48/11.66 apply (zenon_L160_); trivial. % 11.48/11.66 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.48/11.66 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ]. % 11.48/11.66 exact (zenon_H38 zenon_H33). % 11.48/11.66 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ]. % 11.48/11.66 apply (zenon_L586_); trivial. % 11.48/11.66 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ]. % 11.48/11.66 apply (zenon_L233_); trivial. % 11.48/11.66 apply (zenon_L515_); trivial. % 11.48/11.66 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.48/11.66 apply (zenon_L936_); trivial. % 11.48/11.66 apply (zenon_L565_); trivial. % 11.48/11.66 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.48/11.66 apply (zenon_L2_); trivial. % 11.48/11.66 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.48/11.66 apply (zenon_L579_); trivial. % 11.48/11.66 apply (zenon_L127_); trivial. % 11.48/11.66 (* end of lemma zenon_L948_ *) % 11.48/11.66 assert (zenon_L949_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e1) (e0)) = (e1))) -> ((op (e2) (e0)) = (e2)) -> (~((e1) = (e2))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> False). % 11.48/11.66 do 0 intro. intros zenon_Hb7 zenon_H4d zenon_H25f zenon_Hb5 zenon_H30 zenon_H22e zenon_H210 zenon_H47 zenon_H216 zenon_H56 zenon_H11c zenon_Hf6. % 11.48/11.66 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ]. % 11.48/11.66 exact (zenon_H4d zenon_H4f). % 11.48/11.66 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ]. % 11.48/11.66 exact (zenon_H25f zenon_H6d). % 11.48/11.66 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ]. % 11.48/11.66 apply (zenon_L108_); trivial. % 11.48/11.66 apply (zenon_L535_); trivial. % 11.48/11.66 (* end of lemma zenon_L949_ *) % 11.48/11.66 assert (zenon_L950_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((e0) = (e1))) -> ((op (e0) (e2)) = (e0)) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e1) (e0)) = (e1))) -> ((op (e2) (e0)) = (e2)) -> (~((e1) = (e2))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> False). % 11.48/11.66 do 0 intro. intros zenon_H4c zenon_H10b zenon_H20 zenon_Hd0 zenon_Hb7 zenon_H4d zenon_H25f zenon_Hb5 zenon_H30 zenon_H22e zenon_H210 zenon_H216 zenon_H56 zenon_H11c zenon_Hf6. % 11.48/11.66 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.48/11.66 exact (zenon_H4d zenon_H4f). % 11.48/11.66 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.48/11.66 apply (zenon_L223_); trivial. % 11.48/11.66 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.48/11.66 apply (zenon_L61_); trivial. % 11.48/11.66 apply (zenon_L949_); trivial. % 11.48/11.66 (* end of lemma zenon_L950_ *) % 11.48/11.66 assert (zenon_L951_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> ((op (e1) (e2)) = (e0)) -> (~((op (e1) (e0)) = (e1))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e3)) -> False). % 11.48/11.66 do 0 intro. intros zenon_H26d zenon_He0 zenon_H25f zenon_H16c zenon_Hb5 zenon_H10e zenon_H89. % 11.48/11.66 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H57 | zenon_intro zenon_H26e ]. % 11.48/11.66 apply (zenon_L88_); trivial. % 11.48/11.66 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H6d | zenon_intro zenon_H26f ]. % 11.48/11.66 exact (zenon_H25f zenon_H6d). % 11.48/11.66 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H58 | zenon_intro zenon_H75 ]. % 11.48/11.66 apply (zenon_L343_); trivial. % 11.48/11.66 apply (zenon_L229_); trivial. % 11.48/11.66 (* end of lemma zenon_L951_ *) % 11.48/11.66 assert (zenon_L952_ : (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e3) (e3)) = (e1))) -> ((op (e3) (e0)) = (e1)) -> ((op (e3) (e2)) = (e0)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e3)) -> False). % 11.48/11.66 do 0 intro. intros zenon_Hf0 zenon_H9e zenon_H1e5 zenon_H99 zenon_Hf7 zenon_He5 zenon_H147. % 11.48/11.66 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf1 ]. % 11.48/11.66 exact (zenon_H9e zenon_H9d). % 11.48/11.66 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_He7 | zenon_intro zenon_Hf2 ]. % 11.48/11.66 exact (zenon_H1e5 zenon_He7). % 11.48/11.66 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_Hb4 | zenon_intro zenon_Hed ]. % 11.48/11.66 apply (zenon_L541_); trivial. % 11.48/11.66 apply (zenon_L132_); trivial. % 11.48/11.66 (* end of lemma zenon_L952_ *) % 11.48/11.66 assert (zenon_L953_ : (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e0) = (e1))) -> ((op (e0) (e2)) = (e1)) -> ((op (e1) (e2)) = (e3)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e0)) = (e1))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e0)) -> False). % 11.48/11.66 do 0 intro. intros zenon_Hfb zenon_H20 zenon_H2e zenon_H89 zenon_H10e zenon_Hb5 zenon_H16c zenon_H25f zenon_H26d zenon_Hcf zenon_H1d8 zenon_H120. % 11.48/11.66 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hd0 | zenon_intro zenon_Hfe ]. % 11.48/11.66 apply (zenon_L61_); trivial. % 11.48/11.66 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_He0 | zenon_intro zenon_Hff ]. % 11.48/11.66 apply (zenon_L951_); trivial. % 11.48/11.66 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Hce | zenon_intro zenon_Hf7 ]. % 11.48/11.66 exact (zenon_Hcf zenon_Hce). % 11.48/11.66 apply (zenon_L254_); trivial. % 11.48/11.66 (* end of lemma zenon_L953_ *) % 11.48/11.66 assert (zenon_L954_ : (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (e1))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e3)) -> ((op (e0) (e2)) = (e1)) -> (~((e0) = (e1))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> False). % 11.48/11.66 do 0 intro. intros zenon_H223 zenon_H1d8 zenon_Hcf zenon_H26d zenon_H25f zenon_H16c zenon_Hb5 zenon_H10e zenon_H89 zenon_H2e zenon_H20 zenon_Hfb zenon_H56 zenon_H1f3 zenon_H2c zenon_H222 zenon_He5 zenon_Hed. % 11.48/11.66 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H120 | zenon_intro zenon_H224 ]. % 11.48/11.66 apply (zenon_L953_); trivial. % 11.48/11.66 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_He6 | zenon_intro zenon_H225 ]. % 11.48/11.66 apply (zenon_L278_); trivial. % 11.48/11.66 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_Ha4 | zenon_intro zenon_H147 ]. % 11.48/11.66 apply (zenon_L355_); trivial. % 11.48/11.66 apply (zenon_L132_); trivial. % 11.48/11.66 (* end of lemma zenon_L954_ *) % 11.48/11.66 assert (zenon_L955_ : (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e2)) = (e0)) -> ((op (e3) (e0)) = (e1)) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e3) (e2)) = (e2)) -> (~((e2) = (e3))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (e1))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e3)) -> ((op (e0) (e2)) = (e1)) -> (~((e0) = (e1))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> False). % 11.48/11.66 do 0 intro. intros zenon_H251 zenon_H15d zenon_Hf7 zenon_H99 zenon_H1e5 zenon_H9e zenon_Hf0 zenon_Hae zenon_H41 zenon_H223 zenon_H1d8 zenon_Hcf zenon_H26d zenon_H25f zenon_H16c zenon_Hb5 zenon_H10e zenon_H89 zenon_H2e zenon_H20 zenon_Hfb zenon_H56 zenon_H1f3 zenon_H2c zenon_H222 zenon_He5. % 11.48/11.66 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H15e | zenon_intro zenon_H253 ]. % 11.48/11.66 apply (zenon_L931_); trivial. % 11.48/11.66 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ]. % 11.48/11.66 apply (zenon_L952_); trivial. % 11.48/11.66 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_Hec | zenon_intro zenon_Hed ]. % 11.48/11.66 apply (zenon_L271_); trivial. % 11.48/11.66 apply (zenon_L954_); trivial. % 11.48/11.66 (* end of lemma zenon_L955_ *) % 11.48/11.66 assert (zenon_L956_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((op (e1) (e1)) = (e1)) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (e1))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e1))) -> False). % 11.48/11.66 do 0 intro. intros zenon_H12d zenon_H234 zenon_H10e zenon_H13a zenon_H4c zenon_H56 zenon_H27 zenon_H30 zenon_H69 zenon_H16c zenon_Hb5 zenon_H10b zenon_Hf6 zenon_Hcf zenon_Hfb zenon_H236 zenon_H34 zenon_H41 zenon_He3 zenon_H141 zenon_H15d zenon_Hf0 zenon_He5 zenon_H147 zenon_H1aa zenon_H49 zenon_H25f zenon_H4d zenon_Hb7 zenon_H72 zenon_H20. % 11.48/11.66 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H25 | zenon_intro zenon_H12e ]. % 11.48/11.66 exact (zenon_H234 zenon_H25). % 11.48/11.66 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H57 | zenon_intro zenon_H12f ]. % 11.48/11.66 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.48/11.66 exact (zenon_H4d zenon_H4f). % 11.48/11.66 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.48/11.66 apply (zenon_L223_); trivial. % 11.48/11.66 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.48/11.66 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ]. % 11.48/11.66 exact (zenon_H4d zenon_H4f). % 11.48/11.66 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ]. % 11.48/11.66 exact (zenon_H25f zenon_H6d). % 11.48/11.66 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ]. % 11.48/11.66 apply (zenon_L108_); trivial. % 11.48/11.66 apply (zenon_L546_); trivial. % 11.48/11.66 apply (zenon_L182_); trivial. % 11.48/11.66 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H6e | zenon_intro zenon_Hc3 ]. % 11.48/11.66 apply (zenon_L48_); trivial. % 11.48/11.66 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.48/11.66 exact (zenon_H4d zenon_H4f). % 11.48/11.66 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.48/11.66 apply (zenon_L223_); trivial. % 11.48/11.66 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.48/11.66 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ]. % 11.48/11.66 exact (zenon_H4d zenon_H4f). % 11.48/11.66 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ]. % 11.48/11.66 exact (zenon_H25f zenon_H6d). % 11.48/11.66 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ]. % 11.48/11.66 apply (zenon_L108_); trivial. % 11.48/11.66 apply (zenon_L551_); trivial. % 11.48/11.66 apply (zenon_L182_); trivial. % 11.48/11.66 (* end of lemma zenon_L956_ *) % 11.48/11.66 assert (zenon_L957_ : (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((op (e1) (e1)) = (e1)) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (e1))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e0) = (e1))) -> False). % 11.48/11.66 do 0 intro. intros zenon_H18f zenon_H157 zenon_H19f zenon_H65 zenon_H5c zenon_Hc0 zenon_H19c zenon_Had zenon_H11b zenon_Hcb zenon_Hfa zenon_H11c zenon_H216 zenon_H210 zenon_H22e zenon_H12d zenon_H234 zenon_H10e zenon_H13a zenon_H4c zenon_H56 zenon_H27 zenon_H30 zenon_H69 zenon_H16c zenon_Hb5 zenon_H10b zenon_Hf6 zenon_Hcf zenon_Hfb zenon_H236 zenon_H34 zenon_H41 zenon_He3 zenon_H141 zenon_H15d zenon_Hf0 zenon_He5 zenon_H147 zenon_H1aa zenon_H49 zenon_H25f zenon_H4d zenon_Hb7 zenon_H20. % 11.48/11.66 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H25 | zenon_intro zenon_H190 ]. % 11.48/11.66 exact (zenon_H234 zenon_H25). % 11.48/11.66 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H1e | zenon_intro zenon_H191 ]. % 11.48/11.66 apply (zenon_L531_); trivial. % 11.48/11.66 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H72 ]. % 11.48/11.66 apply (zenon_L950_); trivial. % 11.48/11.66 apply (zenon_L956_); trivial. % 11.48/11.66 (* end of lemma zenon_L957_ *) % 11.48/11.66 assert (zenon_L958_ : ((op (e3) (e2)) = (e3)) -> ((op (e2) (e2)) = (e3)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> False). % 11.48/11.66 do 0 intro. intros zenon_Hec zenon_He1 zenon_Had. % 11.48/11.66 elim (classic ((op (e3) (e2)) = (op (e3) (e2)))); [ zenon_intro zenon_H102 | zenon_intro zenon_Hef ]. % 11.48/11.66 cut (((op (e3) (e2)) = (op (e3) (e2))) = ((op (e2) (e2)) = (op (e3) (e2)))). % 11.48/11.66 intro zenon_D_pnotp. % 11.48/11.66 apply zenon_Had. % 11.48/11.66 rewrite <- zenon_D_pnotp. % 11.48/11.66 exact zenon_H102. % 11.48/11.66 cut (((op (e3) (e2)) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hef]. % 11.48/11.66 cut (((op (e3) (e2)) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H270]. % 11.48/11.66 congruence. % 11.48/11.66 cut (((op (e3) (e2)) = (e3)) = ((op (e3) (e2)) = (op (e2) (e2)))). % 11.48/11.66 intro zenon_D_pnotp. % 11.48/11.66 apply zenon_H270. % 11.48/11.66 rewrite <- zenon_D_pnotp. % 11.48/11.66 exact zenon_Hec. % 11.48/11.66 cut (((e3) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H19b]. % 11.48/11.66 cut (((op (e3) (e2)) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hef]. % 11.48/11.66 congruence. % 11.48/11.66 apply zenon_Hef. apply refl_equal. % 11.48/11.66 apply zenon_H19b. apply sym_equal. exact zenon_He1. % 11.48/11.66 apply zenon_Hef. apply refl_equal. % 11.48/11.66 apply zenon_Hef. apply refl_equal. % 11.48/11.66 (* end of lemma zenon_L958_ *) % 11.48/11.66 assert (zenon_L959_ : (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (e1))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e0)) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e1) (e2)) = (e0)) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e0)) = (e2)) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False). % 11.48/11.66 do 0 intro. intros zenon_H92 zenon_H25f zenon_He5 zenon_H222 zenon_H2c zenon_H1f3 zenon_H16a zenon_Hc3 zenon_H223 zenon_He0 zenon_H20 zenon_H197 zenon_H27 zenon_H95 zenon_Hb5 zenon_H194 zenon_H16e zenon_H141 zenon_H117 zenon_H61 zenon_H72 zenon_H154 zenon_Hed zenon_He3. % 11.48/11.66 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H6d | zenon_intro zenon_H93 ]. % 11.48/11.66 exact (zenon_H25f zenon_H6d). % 11.48/11.66 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H56 | zenon_intro zenon_H94 ]. % 11.48/11.66 apply (zenon_L435_); trivial. % 11.48/11.66 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H88 | zenon_intro zenon_H90 ]. % 11.48/11.66 apply (zenon_L92_); trivial. % 11.48/11.66 apply (zenon_L339_); trivial. % 11.48/11.66 (* end of lemma zenon_L959_ *) % 11.48/11.66 assert (zenon_L960_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((e0) = (e3))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e0)) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e2)) = (e1)) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e0)) = (e1))) -> ((op (e1) (e2)) = (e0)) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> ((op (e1) (e3)) = (e2)) -> (~((e2) = (e3))) -> False). % 11.48/11.66 do 0 intro. intros zenon_H8d zenon_H251 zenon_H212 zenon_Hb7 zenon_H4d zenon_H49 zenon_H1aa zenon_Hf0 zenon_H15d zenon_H34 zenon_H236 zenon_Hfb zenon_Hcf zenon_Hf6 zenon_H10b zenon_H69 zenon_H30 zenon_H4c zenon_H13a zenon_H234 zenon_H12d zenon_H22e zenon_H210 zenon_H216 zenon_H11c zenon_Hfa zenon_Hcb zenon_H11b zenon_H19c zenon_Hc0 zenon_H5c zenon_H65 zenon_H19f zenon_H157 zenon_H18f zenon_Had zenon_H92 zenon_He5 zenon_H222 zenon_H2c zenon_H1f3 zenon_H16a zenon_Hc3 zenon_H223 zenon_H20 zenon_H197 zenon_H27 zenon_H95 zenon_H194 zenon_H16e zenon_H141 zenon_H117 zenon_H61 zenon_H72 zenon_H154 zenon_He3 zenon_H2e zenon_Hf3 zenon_H3c zenon_H56 zenon_H10e zenon_Hb5 zenon_H16c zenon_H25f zenon_He0 zenon_H26d zenon_H62 zenon_H41. % 11.48/11.66 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H75 | zenon_intro zenon_H8e ]. % 11.48/11.66 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_H2f | zenon_intro zenon_H1a0 ]. % 11.48/11.66 apply (zenon_L6_); trivial. % 11.48/11.66 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5b | zenon_intro zenon_H1a1 ]. % 11.48/11.66 apply (zenon_L545_); trivial. % 11.48/11.66 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_H5a | zenon_intro zenon_Hae ]. % 11.48/11.66 apply (zenon_L50_); trivial. % 11.48/11.66 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H3b | zenon_intro zenon_Hf4 ]. % 11.48/11.66 apply (zenon_L9_); trivial. % 11.48/11.66 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H89 | zenon_intro zenon_Hf5 ]. % 11.48/11.66 apply (zenon_L229_); trivial. % 11.48/11.66 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_He1 | zenon_intro zenon_Hec ]. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H15e | zenon_intro zenon_H253 ]. % 11.54/11.67 apply (zenon_L299_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ]. % 11.54/11.67 apply (zenon_L957_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_Hec | zenon_intro zenon_Hed ]. % 11.54/11.67 apply (zenon_L958_); trivial. % 11.54/11.67 apply (zenon_L959_); trivial. % 11.54/11.67 apply (zenon_L271_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H78 | zenon_intro zenon_H8f ]. % 11.54/11.67 apply (zenon_L510_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H8b ]. % 11.54/11.67 apply (zenon_L951_); trivial. % 11.54/11.67 apply (zenon_L465_); trivial. % 11.54/11.67 (* end of lemma zenon_L960_ *) % 11.54/11.67 assert (zenon_L961_ : (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e3)) -> ((op (e1) (e2)) = (e1)) -> (~((e0) = (e1))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e0)) -> False). % 11.54/11.67 do 0 intro. intros zenon_Hfb zenon_H34 zenon_H3b zenon_H88 zenon_H20 zenon_Hcf zenon_Hf6 zenon_Hc3. % 11.54/11.67 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hd0 | zenon_intro zenon_Hfe ]. % 11.54/11.67 apply (zenon_L59_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_He0 | zenon_intro zenon_Hff ]. % 11.54/11.67 apply (zenon_L92_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Hce | zenon_intro zenon_Hf7 ]. % 11.54/11.67 exact (zenon_Hcf zenon_Hce). % 11.54/11.67 apply (zenon_L77_); trivial. % 11.54/11.67 (* end of lemma zenon_L961_ *) % 11.54/11.67 assert (zenon_L962_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((e1) = (e2))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e0) = (e1))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (~((op (e2) (e2)) = (e3))) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e2))) -> False). % 11.54/11.67 do 0 intro. intros zenon_H49 zenon_H1aa zenon_H30 zenon_He3 zenon_Hed zenon_H154 zenon_H61 zenon_H117 zenon_H141 zenon_H16e zenon_H194 zenon_Hb5 zenon_H95 zenon_H197 zenon_Hfb zenon_H20 zenon_Hcf zenon_Hf3 zenon_H41 zenon_H3c zenon_He2 zenon_H34 zenon_H1f zenon_H10b zenon_H25f zenon_H92 zenon_H72 zenon_H27. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.54/11.67 apply (zenon_L208_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.54/11.67 apply (zenon_L211_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H6d | zenon_intro zenon_H93 ]. % 11.54/11.67 exact (zenon_H25f zenon_H6d). % 11.54/11.67 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H56 | zenon_intro zenon_H94 ]. % 11.54/11.67 apply (zenon_L223_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H88 | zenon_intro zenon_H90 ]. % 11.54/11.67 apply (zenon_L661_); trivial. % 11.54/11.67 apply (zenon_L339_); trivial. % 11.54/11.67 apply (zenon_L180_); trivial. % 11.54/11.67 (* end of lemma zenon_L962_ *) % 11.54/11.67 assert (zenon_L963_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e0)) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((e0) = (e2))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (e1))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (e3))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e1))) -> False). % 11.54/11.67 do 0 intro. intros zenon_H4c zenon_H44 zenon_Hcb zenon_H167 zenon_Hf6 zenon_Hc3 zenon_H223 zenon_H16a zenon_H1f3 zenon_H222 zenon_He5 zenon_H27 zenon_H92 zenon_H25f zenon_H10b zenon_H34 zenon_H3c zenon_H41 zenon_Hf3 zenon_Hfb zenon_H197 zenon_H95 zenon_H194 zenon_H16e zenon_H141 zenon_H117 zenon_H61 zenon_H154 zenon_Hed zenon_He3 zenon_H30 zenon_H1aa zenon_H49 zenon_He2 zenon_Hb5 zenon_Hc0 zenon_H65 zenon_Hcf zenon_H19c zenon_H72 zenon_H20. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.54/11.67 apply (zenon_L208_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.54/11.67 apply (zenon_L58_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.54/11.67 apply (zenon_L243_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H6d | zenon_intro zenon_H93 ]. % 11.54/11.67 exact (zenon_H25f zenon_H6d). % 11.54/11.67 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H56 | zenon_intro zenon_H94 ]. % 11.54/11.67 apply (zenon_L435_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H88 | zenon_intro zenon_H90 ]. % 11.54/11.67 apply (zenon_L961_); trivial. % 11.54/11.67 apply (zenon_L339_); trivial. % 11.54/11.67 apply (zenon_L379_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.54/11.67 apply (zenon_L567_); trivial. % 11.54/11.67 apply (zenon_L180_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.54/11.67 apply (zenon_L962_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.54/11.67 apply (zenon_L579_); trivial. % 11.54/11.67 apply (zenon_L182_); trivial. % 11.54/11.67 (* end of lemma zenon_L963_ *) % 11.54/11.67 assert (zenon_L964_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))\/((((op (e1) (e1)) = (e1))/\(((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0)))/\(((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1)))/\(((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2)))/\((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3)))))))\/((((op (e2) (e2)) = (e2))/\(((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0)))/\(((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3)))))))\/(((op (e3) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3)))))))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((e0) = (e2))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (e1))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (e3))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e1))) -> False). % 11.54/11.67 do 0 intro. intros zenon_H161 zenon_H1b0 zenon_Hfa zenon_H1ca zenon_H23c zenon_Hb7 zenon_H1f0 zenon_H157 zenon_H11b zenon_H234 zenon_H12d zenon_H192 zenon_H228 zenon_H22e zenon_H10e zenon_H125 zenon_H5c zenon_H13f zenon_H245 zenon_H18f zenon_H101 zenon_H122 zenon_H105 zenon_Hf0 zenon_Hb9 zenon_H9e zenon_H212 zenon_H8d zenon_Hc4 zenon_H226 zenon_H242 zenon_H216 zenon_Hb8 zenon_H1e2 zenon_Had zenon_Hb0 zenon_H13a zenon_H15d zenon_H4c zenon_H44 zenon_Hcb zenon_H167 zenon_Hf6 zenon_H223 zenon_H16a zenon_H1f3 zenon_H222 zenon_He5 zenon_H27 zenon_H92 zenon_H25f zenon_H10b zenon_H34 zenon_H3c zenon_H41 zenon_Hf3 zenon_Hfb zenon_H197 zenon_H95 zenon_H194 zenon_H16e zenon_H141 zenon_H117 zenon_H61 zenon_H154 zenon_Hed zenon_He3 zenon_H30 zenon_H1aa zenon_H49 zenon_He2 zenon_Hb5 zenon_Hc0 zenon_H65 zenon_Hcf zenon_H19c zenon_H72 zenon_H20. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H25 | zenon_intro zenon_H12e ]. % 11.54/11.67 exact (zenon_H234 zenon_H25). % 11.54/11.67 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H57 | zenon_intro zenon_H12f ]. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.54/11.67 apply (zenon_L937_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.54/11.67 apply (zenon_L962_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.54/11.67 apply (zenon_L579_); trivial. % 11.54/11.67 apply (zenon_L182_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H6e | zenon_intro zenon_Hc3 ]. % 11.54/11.67 apply (zenon_L48_); trivial. % 11.54/11.67 apply (zenon_L963_); trivial. % 11.54/11.67 (* end of lemma zenon_L964_ *) % 11.54/11.67 assert (zenon_L965_ : ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))\/((((op (e1) (e1)) = (e1))/\(((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0)))/\(((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1)))/\(((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2)))/\((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3)))))))\/((((op (e2) (e2)) = (e2))/\(((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0)))/\(((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3)))))))\/(((op (e3) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3)))))))))) -> ((op (e2) (e0)) = (e2)) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e0))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e0)) = (e1))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> False). % 11.54/11.67 do 0 intro. intros zenon_H18e zenon_H234 zenon_He3 zenon_H38 zenon_H69 zenon_H255 zenon_Hed zenon_Hf3 zenon_Heb zenon_H15f zenon_Hfb zenon_H16c zenon_H161 zenon_Hfa zenon_H65 zenon_H27 zenon_H18f zenon_H4c zenon_H1ca zenon_H44 zenon_H20 zenon_H23c zenon_H154 zenon_H226 zenon_Hcb zenon_Hb9 zenon_H167 zenon_H141 zenon_H61 zenon_H117 zenon_H1e2 zenon_Hb7 zenon_H101 zenon_H1f0 zenon_H10b zenon_H157 zenon_H16e zenon_H11b zenon_H12d zenon_H222 zenon_H1f3 zenon_Hf0 zenon_H15d zenon_He5 zenon_H9e zenon_H16a zenon_H223 zenon_H197 zenon_H192 zenon_H228 zenon_H22e zenon_H10e zenon_H125 zenon_H5c zenon_H13f zenon_H245 zenon_H122 zenon_H105 zenon_H95 zenon_H212 zenon_H8d zenon_Hc4 zenon_Hc0 zenon_H242 zenon_H216 zenon_Hb8 zenon_Hf6 zenon_H30 zenon_H49 zenon_Had zenon_Hb0 zenon_H13a zenon_H1b0 zenon_Hb5 zenon_H41 zenon_H34 zenon_H3c zenon_H19c zenon_Hcf zenon_H90 zenon_H25f zenon_H194 zenon_H92 zenon_H1aa. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_He2 | zenon_intro zenon_H18a ]. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H25 | zenon_intro zenon_H190 ]. % 11.54/11.67 exact (zenon_H234 zenon_H25). % 11.54/11.67 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H1e | zenon_intro zenon_H191 ]. % 11.54/11.67 apply (zenon_L948_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H72 ]. % 11.54/11.67 apply (zenon_L244_); trivial. % 11.54/11.67 apply (zenon_L964_); trivial. % 11.54/11.67 apply (zenon_L334_); trivial. % 11.54/11.67 (* end of lemma zenon_L965_ *) % 11.54/11.67 assert (zenon_L966_ : ((op (e0) (e1)) = (e2)) -> ((op (e3) (e0)) = (e0)) -> ((op (e0) (e2)) = (e3)) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))\/((((op (e1) (e1)) = (e1))/\(((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0)))/\(((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1)))/\(((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2)))/\((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3)))))))\/((((op (e2) (e2)) = (e2))/\(((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0)))/\(((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3)))))))\/(((op (e3) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3)))))))))) -> ((op (e2) (e0)) = (e2)) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e1) (e0)) = (e1))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> False). % 11.54/11.67 do 0 intro. intros zenon_H2c zenon_Hc3 zenon_H3b zenon_H18e zenon_H234 zenon_He3 zenon_H38 zenon_H69 zenon_H255 zenon_Hed zenon_Hf3 zenon_Heb zenon_H15f zenon_Hfb zenon_H16c zenon_H161 zenon_Hfa zenon_H65 zenon_H27 zenon_H18f zenon_H4c zenon_H1ca zenon_H44 zenon_H20 zenon_H23c zenon_H154 zenon_H226 zenon_Hcb zenon_Hb9 zenon_H167 zenon_H141 zenon_H61 zenon_H117 zenon_H1e2 zenon_Hb7 zenon_H101 zenon_H1f0 zenon_H10b zenon_H157 zenon_H16e zenon_H11b zenon_H12d zenon_H222 zenon_H1f3 zenon_Hf0 zenon_H15d zenon_He5 zenon_H9e zenon_H16a zenon_H223 zenon_H197 zenon_H192 zenon_H228 zenon_H22e zenon_H10e zenon_H125 zenon_H5c zenon_H13f zenon_H245 zenon_H122 zenon_H105 zenon_H95 zenon_H212 zenon_H8d zenon_Hc4 zenon_Hc0 zenon_H242 zenon_H216 zenon_Hb8 zenon_Hf6 zenon_H30 zenon_H49 zenon_Had zenon_Hb0 zenon_H13a zenon_H1b0 zenon_Hb5 zenon_H41 zenon_H34 zenon_H3c zenon_H19c zenon_Hcf zenon_H25f zenon_H194 zenon_H92 zenon_H1aa. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H6d | zenon_intro zenon_H93 ]. % 11.54/11.67 exact (zenon_H25f zenon_H6d). % 11.54/11.67 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H56 | zenon_intro zenon_H94 ]. % 11.54/11.67 apply (zenon_L435_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H88 | zenon_intro zenon_H90 ]. % 11.54/11.67 apply (zenon_L961_); trivial. % 11.54/11.67 apply (zenon_L965_); trivial. % 11.54/11.67 (* end of lemma zenon_L966_ *) % 11.54/11.67 assert (zenon_L967_ : ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> ((op (e0) (e3)) = (e0)) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e0)) = (e1))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e2)) -> ((((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))\/((((op (e1) (e1)) = (e1))/\(((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0)))/\(((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1)))/\(((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2)))/\((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3)))))))\/((((op (e2) (e2)) = (e2))/\(((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0)))/\(((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3)))))))\/(((op (e3) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3)))))))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((e0) = (e2))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> False). % 11.54/11.67 do 0 intro. intros zenon_H18e zenon_H234 zenon_H19c zenon_H1aa zenon_H92 zenon_H72 zenon_H194 zenon_Hed zenon_He3 zenon_Hcf zenon_Hf3 zenon_Hfb zenon_H25f zenon_H3c zenon_H34 zenon_H41 zenon_Hb5 zenon_H1b0 zenon_H13a zenon_Hb0 zenon_Had zenon_H49 zenon_H30 zenon_Hf6 zenon_Hb8 zenon_H216 zenon_H242 zenon_Hc0 zenon_Hc4 zenon_H8d zenon_H212 zenon_H95 zenon_H105 zenon_H122 zenon_H245 zenon_H13f zenon_H5c zenon_H125 zenon_H10e zenon_H22e zenon_H228 zenon_H192 zenon_H197 zenon_H223 zenon_H16a zenon_H9e zenon_He5 zenon_H15d zenon_Hf0 zenon_H1f3 zenon_H222 zenon_H12d zenon_H11b zenon_H16e zenon_H157 zenon_H10b zenon_H1f0 zenon_H101 zenon_Hb7 zenon_H1e2 zenon_H117 zenon_H61 zenon_H141 zenon_H167 zenon_Hb9 zenon_Hcb zenon_H226 zenon_H154 zenon_H23c zenon_H20 zenon_H44 zenon_H1ca zenon_H4c zenon_H18f zenon_H27 zenon_H65 zenon_Hfa zenon_H161. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_He2 | zenon_intro zenon_H18a ]. % 11.54/11.67 apply (zenon_L964_); trivial. % 11.54/11.67 apply (zenon_L334_); trivial. % 11.54/11.67 (* end of lemma zenon_L967_ *) % 11.54/11.67 assert (zenon_L968_ : (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (e3))) -> ((op (e3) (e0)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (e1))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e3)) -> ((op (e0) (e2)) = (e1)) -> (~((e0) = (e1))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> False). % 11.54/11.67 do 0 intro. intros zenon_H251 zenon_H252 zenon_H99 zenon_H15d zenon_H13a zenon_H72 zenon_Hf0 zenon_H34 zenon_H223 zenon_H1d8 zenon_Hcf zenon_H26d zenon_H25f zenon_H16c zenon_Hb5 zenon_H10e zenon_H89 zenon_H2e zenon_H20 zenon_Hfb zenon_H56 zenon_H1f3 zenon_H2c zenon_H222 zenon_He5. % 11.54/11.67 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hd0 | zenon_intro zenon_Hfe ]. % 11.54/11.67 apply (zenon_L61_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_He0 | zenon_intro zenon_Hff ]. % 11.54/11.67 apply (zenon_L951_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Hce | zenon_intro zenon_Hf7 ]. % 11.54/11.67 exact (zenon_Hcf zenon_Hce). % 11.54/11.67 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H15e | zenon_intro zenon_H253 ]. % 11.54/11.67 exact (zenon_H252 zenon_H15e). % 11.54/11.67 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ]. % 11.54/11.67 apply (zenon_L542_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_Hec | zenon_intro zenon_Hed ]. % 11.54/11.67 apply (zenon_L89_); trivial. % 11.54/11.67 apply (zenon_L954_); trivial. % 11.54/11.67 (* end of lemma zenon_L968_ *) % 11.54/11.67 assert (zenon_L969_ : (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e0))) -> ((op (e0) (e2)) = (e1)) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e3) (e0)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e2)) -> (~((e0) = (e3))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (e1))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e0)) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e1) (e2)) = (e0)) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e0)) = (e2)) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> False). % 11.54/11.67 do 0 intro. intros zenon_H19f zenon_H30 zenon_Hf6 zenon_Hcf zenon_H2e zenon_Hfb zenon_Hc0 zenon_H251 zenon_H252 zenon_Hf0 zenon_H99 zenon_H15d zenon_H62 zenon_H34 zenon_H236 zenon_H41 zenon_H92 zenon_H25f zenon_He5 zenon_H222 zenon_H2c zenon_H1f3 zenon_H16a zenon_Hc3 zenon_H223 zenon_He0 zenon_H20 zenon_H197 zenon_H27 zenon_H95 zenon_Hb5 zenon_H194 zenon_H16e zenon_H141 zenon_H117 zenon_H61 zenon_H72 zenon_H154 zenon_He3. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_H2f | zenon_intro zenon_H1a0 ]. % 11.54/11.67 apply (zenon_L6_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5b | zenon_intro zenon_H1a1 ]. % 11.54/11.67 apply (zenon_L545_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_H5a | zenon_intro zenon_Hae ]. % 11.54/11.67 apply (zenon_L50_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H15e | zenon_intro zenon_H253 ]. % 11.54/11.67 exact (zenon_H252 zenon_H15e). % 11.54/11.67 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ]. % 11.54/11.67 apply (zenon_L550_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_Hec | zenon_intro zenon_Hed ]. % 11.54/11.67 apply (zenon_L271_); trivial. % 11.54/11.67 apply (zenon_L959_); trivial. % 11.54/11.67 (* end of lemma zenon_L969_ *) % 11.54/11.67 assert (zenon_L970_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (e3))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((e0) = (e2))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (e1))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (e3))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e1))) -> False). % 11.54/11.67 do 0 intro. intros zenon_H12d zenon_H234 zenon_H161 zenon_H252 zenon_H4c zenon_H44 zenon_Hcb zenon_H167 zenon_Hf6 zenon_H223 zenon_H16a zenon_H1f3 zenon_H222 zenon_He5 zenon_H27 zenon_H92 zenon_H25f zenon_H10b zenon_H34 zenon_H3c zenon_H41 zenon_Hf3 zenon_Hfb zenon_H197 zenon_H95 zenon_H194 zenon_H16e zenon_H141 zenon_H117 zenon_H61 zenon_H154 zenon_Hed zenon_He3 zenon_H30 zenon_H1aa zenon_H49 zenon_He2 zenon_Hb5 zenon_Hc0 zenon_H65 zenon_Hcf zenon_H19c zenon_H72 zenon_H20. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H25 | zenon_intro zenon_H12e ]. % 11.54/11.67 exact (zenon_H234 zenon_H25). % 11.54/11.67 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H57 | zenon_intro zenon_H12f ]. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.54/11.67 apply (zenon_L566_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.54/11.67 apply (zenon_L962_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.54/11.67 apply (zenon_L579_); trivial. % 11.54/11.67 apply (zenon_L182_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H6e | zenon_intro zenon_Hc3 ]. % 11.54/11.67 apply (zenon_L48_); trivial. % 11.54/11.67 apply (zenon_L963_); trivial. % 11.54/11.67 (* end of lemma zenon_L970_ *) % 11.54/11.67 assert (zenon_L971_ : ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e3) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (e3))) -> ((op (e2) (e0)) = (e2)) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (~((e0) = (e1))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (e1))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> False). % 11.54/11.67 do 0 intro. intros zenon_H18e zenon_H234 zenon_H12d zenon_H1aa zenon_H16c zenon_H10b zenon_Hfb zenon_Hf6 zenon_H10e zenon_H15f zenon_Heb zenon_Hf3 zenon_Hfa zenon_H16e zenon_H13a zenon_Hed zenon_H255 zenon_Hcb zenon_H69 zenon_H38 zenon_H49 zenon_H27 zenon_H161 zenon_H252 zenon_Hb5 zenon_H41 zenon_H34 zenon_H3c zenon_H20 zenon_H19c zenon_Hc0 zenon_H65 zenon_Hcf zenon_H61 zenon_H90 zenon_H4c zenon_H167 zenon_H16a zenon_H1f3 zenon_H222 zenon_He5 zenon_H223 zenon_H44 zenon_H25f zenon_H197 zenon_H154 zenon_H141 zenon_H95 zenon_H117 zenon_He3 zenon_H194 zenon_H92 zenon_H30 zenon_H18f. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_He2 | zenon_intro zenon_H18a ]. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H25 | zenon_intro zenon_H190 ]. % 11.54/11.67 exact (zenon_H234 zenon_H25). % 11.54/11.67 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H1e | zenon_intro zenon_H191 ]. % 11.54/11.67 apply (zenon_L589_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H72 ]. % 11.54/11.67 apply (zenon_L587_); trivial. % 11.54/11.67 apply (zenon_L970_); trivial. % 11.54/11.67 apply (zenon_L334_); trivial. % 11.54/11.67 (* end of lemma zenon_L971_ *) % 11.54/11.67 assert (zenon_L972_ : ((~((op (e1) (e1)) = (e0)))\/(~((op (e1) (e0)) = (e1)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> ((~((op (e3) (e3)) = (e0)))\/(~((op (e3) (e0)) = (e3)))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e1) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e0) = (e2))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e2)) = (e2))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> ((((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))\/((((op (e1) (e1)) = (e1))/\(((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0)))/\(((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1)))/\(((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2)))/\((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3)))))))\/((((op (e2) (e2)) = (e2))/\(((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0)))/\(((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3)))))))\/(((op (e3) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3)))))))))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> ((~((op (e2) (e2)) = (e0)))\/(~((op (e2) (e0)) = (e2)))) -> False). % 11.54/11.67 do 0 intro. intros zenon_H25c zenon_H26d zenon_H25d zenon_H234 zenon_Hc4 zenon_H49 zenon_H34 zenon_H3c zenon_Hfb zenon_H226 zenon_H222 zenon_H251 zenon_H1d8 zenon_H223 zenon_H41 zenon_H13a zenon_He5 zenon_Hf0 zenon_H15d zenon_H1f3 zenon_H101 zenon_H1f0 zenon_Hb0 zenon_H197 zenon_H10e zenon_H8d zenon_H1aa zenon_H212 zenon_H18f zenon_H236 zenon_H141 zenon_He3 zenon_H69 zenon_H12d zenon_H16a zenon_H16c zenon_H61 zenon_H113 zenon_H10b zenon_Hb7 zenon_H210 zenon_H216 zenon_Hf6 zenon_H22e zenon_H30 zenon_H1ca zenon_H4c zenon_H27 zenon_Hb5 zenon_Hcb zenon_H11b zenon_H20 zenon_H157 zenon_H19c zenon_H65 zenon_H5c zenon_Hc0 zenon_Had zenon_H19f zenon_Hfa zenon_Hf3 zenon_Heb zenon_H194 zenon_H1d5 zenon_H1df zenon_H71 zenon_H161 zenon_H44 zenon_H23c zenon_H154 zenon_Hb9 zenon_H167 zenon_H117 zenon_H1e2 zenon_H16e zenon_H192 zenon_H228 zenon_H125 zenon_H13f zenon_H245 zenon_H122 zenon_H105 zenon_H95 zenon_H242 zenon_Hb8 zenon_H1b0 zenon_H255 zenon_H92 zenon_H25e. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H207 | zenon_intro zenon_H25f ]. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_Hcf | zenon_intro zenon_H258 ]. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H9e | zenon_intro zenon_H252 ]. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H51 | zenon_intro zenon_H1b1 ]. % 11.54/11.67 apply (zenon_L458_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H53 | zenon_intro zenon_H1b2 ]. % 11.54/11.67 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H56. zenon_intro zenon_H55. % 11.54/11.67 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H1c0. zenon_intro zenon_H1bf. % 11.54/11.67 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_H1fd. zenon_intro zenon_H1fc. % 11.54/11.67 apply (zenon_and_s _ _ zenon_H1fc). zenon_intro zenon_H1ff. zenon_intro zenon_H1fe. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H1c0); [ zenon_intro zenon_H4d | zenon_intro zenon_H1e ]. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H11c | zenon_intro zenon_Hc7 ]. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e5 | zenon_intro zenon_H147 ]. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H25 | zenon_intro zenon_H190 ]. % 11.54/11.67 exact (zenon_H234 zenon_H25). % 11.54/11.67 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H1e | zenon_intro zenon_H191 ]. % 11.54/11.67 apply (zenon_L531_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H72 ]. % 11.54/11.67 apply (zenon_L537_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H25 | zenon_intro zenon_H12e ]. % 11.54/11.67 exact (zenon_H234 zenon_H25). % 11.54/11.67 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H57 | zenon_intro zenon_H12f ]. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.54/11.67 exact (zenon_H4d zenon_H4f). % 11.54/11.67 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.54/11.67 apply (zenon_L223_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.54/11.67 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ]. % 11.54/11.67 exact (zenon_H4d zenon_H4f). % 11.54/11.67 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ]. % 11.54/11.67 apply (zenon_L459_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ]. % 11.54/11.67 apply (zenon_L108_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.54/11.67 apply (zenon_L208_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H75 | zenon_intro zenon_H8e ]. % 11.54/11.67 apply (zenon_L118_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H78 | zenon_intro zenon_H8f ]. % 11.54/11.67 apply (zenon_L510_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H8b ]. % 11.54/11.67 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hd0 | zenon_intro zenon_Hfe ]. % 11.54/11.67 apply (zenon_L297_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_He0 | zenon_intro zenon_Hff ]. % 11.54/11.67 apply (zenon_L69_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Hce | zenon_intro zenon_Hf7 ]. % 11.54/11.67 exact (zenon_Hcf zenon_Hce). % 11.54/11.67 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H9a | zenon_intro zenon_Hb2 ]. % 11.54/11.67 apply (zenon_L361_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Hb3 ]. % 11.54/11.67 apply (zenon_L355_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_Hae | zenon_intro zenon_Hb4 ]. % 11.54/11.67 apply (zenon_L933_); trivial. % 11.54/11.67 apply (zenon_L541_); trivial. % 11.54/11.67 apply (zenon_L544_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.54/11.67 apply (zenon_L6_); trivial. % 11.54/11.67 apply (zenon_L180_); trivial. % 11.54/11.67 apply (zenon_L536_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H6e | zenon_intro zenon_Hc3 ]. % 11.54/11.67 apply (zenon_L48_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.54/11.67 exact (zenon_H4d zenon_H4f). % 11.54/11.67 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.54/11.67 apply (zenon_L223_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.54/11.67 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ]. % 11.54/11.67 exact (zenon_H4d zenon_H4f). % 11.54/11.67 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ]. % 11.54/11.67 apply (zenon_L459_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ]. % 11.54/11.67 apply (zenon_L108_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.54/11.67 apply (zenon_L208_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H57 | zenon_intro zenon_H114 ]. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H75 | zenon_intro zenon_H8e ]. % 11.54/11.67 apply (zenon_L118_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H78 | zenon_intro zenon_H8f ]. % 11.54/11.67 apply (zenon_L510_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H8b ]. % 11.54/11.67 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hd0 | zenon_intro zenon_Hfe ]. % 11.54/11.67 apply (zenon_L297_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_He0 | zenon_intro zenon_Hff ]. % 11.54/11.67 apply (zenon_L69_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Hce | zenon_intro zenon_Hf7 ]. % 11.54/11.67 exact (zenon_Hcf zenon_Hce). % 11.54/11.67 apply (zenon_L77_); trivial. % 11.54/11.67 apply (zenon_L544_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10c | zenon_intro zenon_H115 ]. % 11.54/11.67 exact (zenon_H207 zenon_H10c). % 11.54/11.67 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_He0 | zenon_intro zenon_H7a ]. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H58 | zenon_intro zenon_H6a ]. % 11.54/11.67 apply (zenon_L343_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6c | zenon_intro zenon_H6b ]. % 11.54/11.67 apply (zenon_L353_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H5b | zenon_intro zenon_H62 ]. % 11.54/11.67 apply (zenon_L545_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H75 | zenon_intro zenon_H8e ]. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_H2f | zenon_intro zenon_H1a0 ]. % 11.54/11.67 apply (zenon_L6_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5b | zenon_intro zenon_H1a1 ]. % 11.54/11.67 apply (zenon_L545_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_H5a | zenon_intro zenon_Hae ]. % 11.54/11.67 apply (zenon_L50_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H15e | zenon_intro zenon_H253 ]. % 11.54/11.67 apply (zenon_L299_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ]. % 11.54/11.67 apply (zenon_L552_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_Hec | zenon_intro zenon_Hed ]. % 11.54/11.67 apply (zenon_L271_); trivial. % 11.54/11.67 apply (zenon_L435_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H78 | zenon_intro zenon_H8f ]. % 11.54/11.67 apply (zenon_L510_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H8b ]. % 11.54/11.67 apply (zenon_L69_); trivial. % 11.54/11.67 apply (zenon_L465_); trivial. % 11.54/11.67 apply (zenon_L335_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.54/11.67 apply (zenon_L6_); trivial. % 11.54/11.67 apply (zenon_L180_); trivial. % 11.54/11.67 apply (zenon_L182_); trivial. % 11.54/11.67 apply (zenon_L552_); trivial. % 11.54/11.67 apply (zenon_L532_); trivial. % 11.54/11.67 apply (zenon_L533_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H132 | zenon_intro zenon_H15f ]. % 11.54/11.67 apply (zenon_L553_); trivial. % 11.54/11.67 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_Hed. zenon_intro zenon_H160. % 11.54/11.67 apply (zenon_and_s _ _ zenon_H160). zenon_intro zenon_H1b4. zenon_intro zenon_H1b3. % 11.54/11.67 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_H1b6. zenon_intro zenon_H1b5. % 11.54/11.67 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H18e. zenon_intro zenon_H1b7. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H38 | zenon_intro zenon_H72 ]. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H79 | zenon_intro zenon_H90 ]. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_He2 | zenon_intro zenon_H18a ]. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H25 | zenon_intro zenon_H190 ]. % 11.54/11.67 exact (zenon_H234 zenon_H25). % 11.54/11.67 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H1e | zenon_intro zenon_H191 ]. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H25 | zenon_intro zenon_H12e ]. % 11.54/11.67 exact (zenon_H234 zenon_H25). % 11.54/11.67 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H57 | zenon_intro zenon_H12f ]. % 11.54/11.67 apply (zenon_L934_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H6e | zenon_intro zenon_Hc3 ]. % 11.54/11.67 apply (zenon_L48_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.54/11.67 apply (zenon_L208_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.54/11.67 apply (zenon_L935_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.54/11.67 apply (zenon_L936_); trivial. % 11.54/11.67 apply (zenon_L565_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H72 ]. % 11.54/11.67 apply (zenon_L244_); trivial. % 11.54/11.67 apply (zenon_L947_); trivial. % 11.54/11.67 apply (zenon_L334_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_He2 | zenon_intro zenon_H18a ]. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H25 | zenon_intro zenon_H190 ]. % 11.54/11.67 exact (zenon_H234 zenon_H25). % 11.54/11.67 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H1e | zenon_intro zenon_H191 ]. % 11.54/11.67 apply (zenon_L948_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H72 ]. % 11.54/11.67 apply (zenon_L244_); trivial. % 11.54/11.67 apply (zenon_L339_); trivial. % 11.54/11.67 apply (zenon_L334_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H79 | zenon_intro zenon_H90 ]. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_He2 | zenon_intro zenon_H18a ]. % 11.54/11.67 apply (zenon_L947_); trivial. % 11.54/11.67 apply (zenon_L334_); trivial. % 11.54/11.67 apply (zenon_L339_); trivial. % 11.54/11.67 apply (zenon_L590_); trivial. % 11.54/11.67 exact (zenon_H258 zenon_Hb5). % 11.54/11.67 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_Hcf | zenon_intro zenon_H258 ]. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H9e | zenon_intro zenon_H252 ]. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H51 | zenon_intro zenon_H1b1 ]. % 11.54/11.67 apply (zenon_L458_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H53 | zenon_intro zenon_H1b2 ]. % 11.54/11.67 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H56. zenon_intro zenon_H55. % 11.54/11.67 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H1c0. zenon_intro zenon_H1bf. % 11.54/11.67 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_H1fd. zenon_intro zenon_H1fc. % 11.54/11.67 apply (zenon_and_s _ _ zenon_H1fc). zenon_intro zenon_H1ff. zenon_intro zenon_H1fe. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H1c0); [ zenon_intro zenon_H4d | zenon_intro zenon_H1e ]. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H11c | zenon_intro zenon_Hc7 ]. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e5 | zenon_intro zenon_H147 ]. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H25 | zenon_intro zenon_H190 ]. % 11.54/11.67 exact (zenon_H234 zenon_H25). % 11.54/11.67 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H1e | zenon_intro zenon_H191 ]. % 11.54/11.67 apply (zenon_L533_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H72 ]. % 11.54/11.67 apply (zenon_L950_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H25 | zenon_intro zenon_H12e ]. % 11.54/11.67 exact (zenon_H234 zenon_H25). % 11.54/11.67 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H57 | zenon_intro zenon_H12f ]. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.54/11.67 exact (zenon_H4d zenon_H4f). % 11.54/11.67 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.54/11.67 apply (zenon_L223_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.54/11.67 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ]. % 11.54/11.67 exact (zenon_H4d zenon_H4f). % 11.54/11.67 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ]. % 11.54/11.67 exact (zenon_H25f zenon_H6d). % 11.54/11.67 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ]. % 11.54/11.67 apply (zenon_L108_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.54/11.67 apply (zenon_L208_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H75 | zenon_intro zenon_H8e ]. % 11.54/11.67 apply (zenon_L118_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H78 | zenon_intro zenon_H8f ]. % 11.54/11.67 apply (zenon_L510_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H8b ]. % 11.54/11.67 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hd0 | zenon_intro zenon_Hfe ]. % 11.54/11.67 apply (zenon_L61_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_He0 | zenon_intro zenon_Hff ]. % 11.54/11.67 apply (zenon_L951_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Hce | zenon_intro zenon_Hf7 ]. % 11.54/11.67 exact (zenon_Hcf zenon_Hce). % 11.54/11.67 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H9a | zenon_intro zenon_Hb2 ]. % 11.54/11.67 apply (zenon_L538_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Hb3 ]. % 11.54/11.67 apply (zenon_L355_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_Hae | zenon_intro zenon_Hb4 ]. % 11.54/11.67 apply (zenon_L955_); trivial. % 11.54/11.67 apply (zenon_L541_); trivial. % 11.54/11.67 apply (zenon_L544_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.54/11.67 apply (zenon_L6_); trivial. % 11.54/11.67 apply (zenon_L180_); trivial. % 11.54/11.67 apply (zenon_L949_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H6e | zenon_intro zenon_Hc3 ]. % 11.54/11.67 apply (zenon_L48_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.54/11.67 exact (zenon_H4d zenon_H4f). % 11.54/11.67 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.54/11.67 apply (zenon_L223_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.54/11.67 apply (zenon_L208_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H58 | zenon_intro zenon_H6a ]. % 11.54/11.67 apply (zenon_L343_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6c | zenon_intro zenon_H6b ]. % 11.54/11.67 apply (zenon_L353_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H5b | zenon_intro zenon_H62 ]. % 11.54/11.67 apply (zenon_L545_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hd0 | zenon_intro zenon_Hfe ]. % 11.54/11.67 apply (zenon_L61_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_He0 | zenon_intro zenon_Hff ]. % 11.54/11.67 apply (zenon_L960_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Hce | zenon_intro zenon_Hf7 ]. % 11.54/11.67 exact (zenon_Hcf zenon_Hce). % 11.54/11.67 apply (zenon_L77_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.54/11.67 apply (zenon_L6_); trivial. % 11.54/11.67 apply (zenon_L180_); trivial. % 11.54/11.67 apply (zenon_L182_); trivial. % 11.54/11.67 apply (zenon_L957_); trivial. % 11.54/11.67 apply (zenon_L532_); trivial. % 11.54/11.67 apply (zenon_L533_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H132 | zenon_intro zenon_H15f ]. % 11.54/11.67 apply (zenon_L553_); trivial. % 11.54/11.67 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_Hed. zenon_intro zenon_H160. % 11.54/11.67 apply (zenon_and_s _ _ zenon_H160). zenon_intro zenon_H1b4. zenon_intro zenon_H1b3. % 11.54/11.67 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_H1b6. zenon_intro zenon_H1b5. % 11.54/11.67 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H18e. zenon_intro zenon_H1b7. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H38 | zenon_intro zenon_H72 ]. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_He2 | zenon_intro zenon_H18a ]. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H25 | zenon_intro zenon_H190 ]. % 11.54/11.67 exact (zenon_H234 zenon_H25). % 11.54/11.67 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H1e | zenon_intro zenon_H191 ]. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H25 | zenon_intro zenon_H12e ]. % 11.54/11.67 exact (zenon_H234 zenon_H25). % 11.54/11.67 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H57 | zenon_intro zenon_H12f ]. % 11.54/11.67 apply (zenon_L934_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H6e | zenon_intro zenon_Hc3 ]. % 11.54/11.67 apply (zenon_L48_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.54/11.67 apply (zenon_L208_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.54/11.67 exact (zenon_H38 zenon_H33). % 11.54/11.67 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.54/11.67 apply (zenon_L65_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.54/11.67 apply (zenon_L966_); trivial. % 11.54/11.67 apply (zenon_L113_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.54/11.67 apply (zenon_L936_); trivial. % 11.54/11.67 apply (zenon_L565_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H72 ]. % 11.54/11.67 apply (zenon_L244_); trivial. % 11.54/11.67 apply (zenon_L967_); trivial. % 11.54/11.67 apply (zenon_L334_); trivial. % 11.54/11.67 apply (zenon_L967_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H51 | zenon_intro zenon_H1b1 ]. % 11.54/11.67 apply (zenon_L458_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H53 | zenon_intro zenon_H1b2 ]. % 11.54/11.67 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H56. zenon_intro zenon_H55. % 11.54/11.67 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H1c0. zenon_intro zenon_H1bf. % 11.54/11.67 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_H1fd. zenon_intro zenon_H1fc. % 11.54/11.67 apply (zenon_and_s _ _ zenon_H1fc). zenon_intro zenon_H1ff. zenon_intro zenon_H1fe. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H1c0); [ zenon_intro zenon_H4d | zenon_intro zenon_H1e ]. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H11c | zenon_intro zenon_Hc7 ]. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H25 | zenon_intro zenon_H190 ]. % 11.54/11.67 exact (zenon_H234 zenon_H25). % 11.54/11.67 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H1e | zenon_intro zenon_H191 ]. % 11.54/11.67 apply (zenon_L533_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H72 ]. % 11.54/11.67 apply (zenon_L950_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H25 | zenon_intro zenon_H12e ]. % 11.54/11.67 exact (zenon_H234 zenon_H25). % 11.54/11.67 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H57 | zenon_intro zenon_H12f ]. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.54/11.67 exact (zenon_H4d zenon_H4f). % 11.54/11.67 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.54/11.67 apply (zenon_L223_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.54/11.67 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ]. % 11.54/11.67 exact (zenon_H4d zenon_H4f). % 11.54/11.67 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ]. % 11.54/11.67 exact (zenon_H25f zenon_H6d). % 11.54/11.67 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ]. % 11.54/11.67 apply (zenon_L108_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.54/11.67 apply (zenon_L208_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H75 | zenon_intro zenon_H8e ]. % 11.54/11.67 apply (zenon_L118_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H78 | zenon_intro zenon_H8f ]. % 11.54/11.67 apply (zenon_L510_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H8b ]. % 11.54/11.67 apply (zenon_L968_); trivial. % 11.54/11.67 apply (zenon_L544_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.54/11.67 apply (zenon_L6_); trivial. % 11.54/11.67 apply (zenon_L180_); trivial. % 11.54/11.67 apply (zenon_L949_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H6e | zenon_intro zenon_Hc3 ]. % 11.54/11.67 apply (zenon_L48_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.54/11.67 exact (zenon_H4d zenon_H4f). % 11.54/11.67 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.54/11.67 apply (zenon_L223_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.54/11.67 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ]. % 11.54/11.67 exact (zenon_H4d zenon_H4f). % 11.54/11.67 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ]. % 11.54/11.67 exact (zenon_H25f zenon_H6d). % 11.54/11.67 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ]. % 11.54/11.67 apply (zenon_L108_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.54/11.67 apply (zenon_L208_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H58 | zenon_intro zenon_H6a ]. % 11.54/11.67 apply (zenon_L343_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6c | zenon_intro zenon_H6b ]. % 11.54/11.67 apply (zenon_L353_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H5b | zenon_intro zenon_H62 ]. % 11.54/11.67 apply (zenon_L545_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hd0 | zenon_intro zenon_Hfe ]. % 11.54/11.67 apply (zenon_L297_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_He0 | zenon_intro zenon_Hff ]. % 11.54/11.67 apply (zenon_L969_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Hce | zenon_intro zenon_Hf7 ]. % 11.54/11.67 exact (zenon_Hcf zenon_Hce). % 11.54/11.67 apply (zenon_L77_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.54/11.67 apply (zenon_L6_); trivial. % 11.54/11.67 apply (zenon_L180_); trivial. % 11.54/11.67 apply (zenon_L182_); trivial. % 11.54/11.67 apply (zenon_L532_); trivial. % 11.54/11.67 apply (zenon_L533_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H132 | zenon_intro zenon_H15f ]. % 11.54/11.67 apply (zenon_L553_); trivial. % 11.54/11.67 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_Hed. zenon_intro zenon_H160. % 11.54/11.67 apply (zenon_and_s _ _ zenon_H160). zenon_intro zenon_H1b4. zenon_intro zenon_H1b3. % 11.54/11.67 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_H1b6. zenon_intro zenon_H1b5. % 11.54/11.67 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H18e. zenon_intro zenon_H1b7. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H38 | zenon_intro zenon_H72 ]. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_He2 | zenon_intro zenon_H18a ]. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H25 | zenon_intro zenon_H190 ]. % 11.54/11.67 exact (zenon_H234 zenon_H25). % 11.54/11.67 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H1e | zenon_intro zenon_H191 ]. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H25 | zenon_intro zenon_H12e ]. % 11.54/11.67 exact (zenon_H234 zenon_H25). % 11.54/11.67 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H57 | zenon_intro zenon_H12f ]. % 11.54/11.67 apply (zenon_L554_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H6e | zenon_intro zenon_Hc3 ]. % 11.54/11.67 apply (zenon_L48_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.54/11.67 apply (zenon_L208_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.54/11.67 exact (zenon_H38 zenon_H33). % 11.54/11.67 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.54/11.67 apply (zenon_L8_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H6d | zenon_intro zenon_H93 ]. % 11.54/11.67 exact (zenon_H25f zenon_H6d). % 11.54/11.67 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H56 | zenon_intro zenon_H94 ]. % 11.54/11.67 apply (zenon_L435_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H88 | zenon_intro zenon_H90 ]. % 11.54/11.67 apply (zenon_L961_); trivial. % 11.54/11.67 apply (zenon_L971_); trivial. % 11.54/11.67 apply (zenon_L113_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.54/11.67 apply (zenon_L561_); trivial. % 11.54/11.67 apply (zenon_L588_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H72 ]. % 11.54/11.67 apply (zenon_L587_); trivial. % 11.54/11.67 apply (zenon_L970_); trivial. % 11.54/11.67 apply (zenon_L334_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_He2 | zenon_intro zenon_H18a ]. % 11.54/11.67 apply (zenon_L970_); trivial. % 11.54/11.67 apply (zenon_L334_); trivial. % 11.54/11.67 exact (zenon_H258 zenon_Hb5). % 11.54/11.67 (* end of lemma zenon_L972_ *) % 11.54/11.67 assert (zenon_L973_ : (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e2) (e1)) = (e2)) -> ((op (e2) (e3)) = (e0)) -> ((op (e2) (e0)) = (e1)) -> False). % 11.54/11.67 do 0 intro. intros zenon_H19c zenon_Hcf zenon_H11c zenon_Hc8 zenon_Hc7 zenon_H96 zenon_H6f. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_Hce | zenon_intro zenon_H19d ]. % 11.54/11.67 exact (zenon_Hcf zenon_Hce). % 11.54/11.67 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H11f | zenon_intro zenon_H19e ]. % 11.54/11.67 exact (zenon_H11c zenon_H11f). % 11.54/11.67 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H5a | zenon_intro zenon_He1 ]. % 11.54/11.67 apply (zenon_L54_); trivial. % 11.54/11.67 apply (zenon_L482_); trivial. % 11.54/11.67 (* end of lemma zenon_L973_ *) % 11.54/11.67 assert (zenon_L974_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e2) (e1)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e2) (e2)) = (e1))) -> ((op (e2) (e3)) = (e0)) -> (~((e0) = (e1))) -> False). % 11.54/11.67 do 0 intro. intros zenon_H11b zenon_Hc8 zenon_Hcf zenon_H19c zenon_Hc7 zenon_H30 zenon_H11c zenon_H96 zenon_H20. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H6f | zenon_intro zenon_H11d ]. % 11.54/11.67 apply (zenon_L973_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H11e ]. % 11.54/11.67 apply (zenon_L95_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H11f | zenon_intro zenon_H118 ]. % 11.54/11.67 exact (zenon_H11c zenon_H11f). % 11.54/11.67 apply (zenon_L166_); trivial. % 11.54/11.67 (* end of lemma zenon_L974_ *) % 11.54/11.67 assert (zenon_L975_ : (((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((e0) = (e2))) -> ((op (e2) (e1)) = (e2)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((e1) = (e2))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> False). % 11.54/11.67 do 0 intro. intros zenon_H51 zenon_Hc4 zenon_H1aa zenon_H27 zenon_Hc7 zenon_H11b zenon_H20 zenon_H30 zenon_H11c zenon_Hc8 zenon_H19c zenon_Hfa. % 11.54/11.67 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H25. zenon_intro zenon_H52. % 11.54/11.67 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H1f7. zenon_intro zenon_H1f6. % 11.54/11.67 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H1f9. zenon_intro zenon_H1f8. % 11.54/11.67 apply (zenon_and_s _ _ zenon_H1f8). zenon_intro zenon_H1fb. zenon_intro zenon_H1fa. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_Hcf | zenon_intro zenon_Hb5 ]. % 11.54/11.67 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H6e | zenon_intro zenon_Hfc ]. % 11.54/11.67 apply (zenon_L624_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hfd ]. % 11.54/11.67 apply (zenon_L164_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hce | zenon_intro zenon_H96 ]. % 11.54/11.67 exact (zenon_Hcf zenon_Hce). % 11.54/11.67 apply (zenon_L974_); trivial. % 11.54/11.67 apply (zenon_L532_); trivial. % 11.54/11.67 (* end of lemma zenon_L975_ *) % 11.54/11.67 assert (zenon_L976_ : ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e1))) -> ((op (e2) (e1)) = (e2)) -> (~((e1) = (e2))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> False). % 11.54/11.67 do 0 intro. intros zenon_H18e zenon_H18b zenon_H11b zenon_H90 zenon_H117 zenon_H11c zenon_Hc7 zenon_H30 zenon_H3c zenon_H41 zenon_He3 zenon_Hed zenon_H167. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_He2 | zenon_intro zenon_H18a ]. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H152 | zenon_intro zenon_H168 ]. % 11.54/11.67 apply (zenon_L137_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H145 | zenon_intro zenon_H169 ]. % 11.54/11.67 apply (zenon_L131_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_He1 | zenon_intro zenon_H164 ]. % 11.54/11.67 exact (zenon_He2 zenon_He1). % 11.54/11.67 apply (zenon_L144_); trivial. % 11.54/11.67 apply (zenon_L184_); trivial. % 11.54/11.67 (* end of lemma zenon_L976_ *) % 11.54/11.67 assert (zenon_L977_ : ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e1))) -> ((op (e2) (e1)) = (e2)) -> (~((e1) = (e2))) -> (~((e0) = (e1))) -> (~((e0) = (e2))) -> (~((e1) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> False). % 11.54/11.67 do 0 intro. intros zenon_H18e zenon_H18b zenon_H11b zenon_H90 zenon_H117 zenon_H11c zenon_Hc7 zenon_H30 zenon_H20 zenon_H27 zenon_H3c zenon_He3 zenon_Hed zenon_H167 zenon_H16e zenon_H72 zenon_Hfa. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_He2 | zenon_intro zenon_H18a ]. % 11.54/11.67 apply (zenon_L177_); trivial. % 11.54/11.67 apply (zenon_L184_); trivial. % 11.54/11.67 (* end of lemma zenon_L977_ *) % 11.54/11.67 assert (zenon_L978_ : ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e1) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e2)) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e1) (e1)) = (e1))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (~((e2) = (e3))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e0) = (e2))) -> (~((e0) = (e1))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> False). % 11.54/11.67 do 0 intro. intros zenon_H1b6 zenon_H4c zenon_H105 zenon_He5 zenon_H148 zenon_H30 zenon_Hcb zenon_Hc7 zenon_H161 zenon_H15d zenon_H187 zenon_H54 zenon_Hf3 zenon_Hed zenon_Heb zenon_H41 zenon_Hfa zenon_H72 zenon_H16e zenon_H167 zenon_He3 zenon_H27 zenon_H20 zenon_H11c zenon_H117 zenon_H11b zenon_H92 zenon_H3c zenon_H49 zenon_H18b zenon_H18e. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H79 | zenon_intro zenon_H90 ]. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_He2 | zenon_intro zenon_H18a ]. % 11.54/11.67 apply (zenon_L183_); trivial. % 11.54/11.67 apply (zenon_L184_); trivial. % 11.54/11.67 apply (zenon_L977_); trivial. % 11.54/11.67 (* end of lemma zenon_L978_ *) % 11.54/11.67 assert (zenon_L979_ : ((~((op (e2) (e2)) = (e1)))\/(~((op (e2) (e1)) = (e2)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((e1) = (e2))) -> (~((e0) = (e1))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e2) (e1)) = (e2)) -> (~((e0) = (e2))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (e1))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e0) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))\/((((op (e1) (e1)) = (e1))/\(((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0)))/\(((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1)))/\(((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2)))/\((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3)))))))\/((((op (e2) (e2)) = (e2))/\(((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0)))/\(((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3)))))))\/(((op (e3) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3)))))))))) -> False). % 11.54/11.67 do 0 intro. intros zenon_H1af zenon_Hfa zenon_H19c zenon_Hc8 zenon_H30 zenon_H20 zenon_H11b zenon_Hc7 zenon_H27 zenon_H1aa zenon_Hc4 zenon_H54 zenon_H18f zenon_H92 zenon_Heb zenon_Hf3 zenon_H187 zenon_H65 zenon_H4d zenon_H148 zenon_He5 zenon_H41 zenon_H3c zenon_Hb7 zenon_H44 zenon_H16a zenon_H105 zenon_H34 zenon_He3 zenon_H167 zenon_Hcb zenon_H161 zenon_H15d zenon_H154 zenon_H141 zenon_H61 zenon_H117 zenon_H14f zenon_H157 zenon_H15a zenon_H49 zenon_H16c zenon_H16e zenon_H4c zenon_H18b zenon_H1b0. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_H11c | zenon_intro zenon_H1a9 ]. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H51 | zenon_intro zenon_H1b1 ]. % 11.54/11.67 apply (zenon_L975_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H53 | zenon_intro zenon_H1b2 ]. % 11.54/11.67 apply (zenon_L19_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H132 | zenon_intro zenon_H15f ]. % 11.54/11.67 apply (zenon_L801_); trivial. % 11.54/11.67 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_Hed. zenon_intro zenon_H160. % 11.54/11.67 apply (zenon_and_s _ _ zenon_H160). zenon_intro zenon_H1b4. zenon_intro zenon_H1b3. % 11.54/11.67 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_H1b6. zenon_intro zenon_H1b5. % 11.54/11.67 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H18e. zenon_intro zenon_H1b7. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H38 | zenon_intro zenon_H72 ]. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H79 | zenon_intro zenon_H90 ]. % 11.54/11.67 apply (zenon_L185_); trivial. % 11.54/11.67 apply (zenon_L976_); trivial. % 11.54/11.67 apply (zenon_L978_); trivial. % 11.54/11.67 exact (zenon_H1a9 zenon_Hc7). % 11.54/11.67 (* end of lemma zenon_L979_ *) % 11.54/11.67 assert (zenon_L980_ : ((~((op (e2) (e2)) = (e1)))\/(~((op (e2) (e1)) = (e2)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((e1) = (e2))) -> (~((e0) = (e1))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e2) (e1)) = (e2)) -> (~((e0) = (e2))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (e1))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e3) (e2)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (e0))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e0) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))\/((((op (e1) (e1)) = (e1))/\(((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0)))/\(((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1)))/\(((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2)))/\((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3)))))))\/((((op (e2) (e2)) = (e2))/\(((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0)))/\(((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3)))))))\/(((op (e3) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3)))))))))) -> False). % 11.54/11.67 do 0 intro. intros zenon_H1af zenon_Hfa zenon_H19c zenon_Hc8 zenon_H30 zenon_H20 zenon_H11b zenon_Hc7 zenon_H27 zenon_H1aa zenon_Hc4 zenon_H54 zenon_H18f zenon_H92 zenon_Heb zenon_Hf3 zenon_H187 zenon_H65 zenon_H271 zenon_H148 zenon_He5 zenon_H41 zenon_H3c zenon_Hb7 zenon_H44 zenon_H16a zenon_H105 zenon_H34 zenon_He3 zenon_H167 zenon_Hcb zenon_H161 zenon_H15d zenon_H154 zenon_H141 zenon_H61 zenon_H117 zenon_H14f zenon_H157 zenon_H15a zenon_H49 zenon_H16c zenon_H16e zenon_H4c zenon_H18b zenon_H1b0. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_H11c | zenon_intro zenon_H1a9 ]. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H51 | zenon_intro zenon_H1b1 ]. % 11.54/11.67 apply (zenon_L975_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H53 | zenon_intro zenon_H1b2 ]. % 11.54/11.67 apply (zenon_L19_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H132 | zenon_intro zenon_H15f ]. % 11.54/11.67 apply (zenon_L801_); trivial. % 11.54/11.67 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_Hed. zenon_intro zenon_H160. % 11.54/11.67 apply (zenon_and_s _ _ zenon_H160). zenon_intro zenon_H1b4. zenon_intro zenon_H1b3. % 11.54/11.67 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_H1b6. zenon_intro zenon_H1b5. % 11.54/11.67 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H18e. zenon_intro zenon_H1b7. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H38 | zenon_intro zenon_H72 ]. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H79 | zenon_intro zenon_H90 ]. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_He2 | zenon_intro zenon_H18a ]. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H25 | zenon_intro zenon_H190 ]. % 11.54/11.67 apply (zenon_L153_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H1e | zenon_intro zenon_H191 ]. % 11.54/11.67 exact (zenon_H271 zenon_H1e). % 11.54/11.67 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H72 ]. % 11.54/11.67 apply (zenon_L170_); trivial. % 11.54/11.67 apply (zenon_L183_); trivial. % 11.54/11.67 apply (zenon_L184_); trivial. % 11.54/11.67 apply (zenon_L976_); trivial. % 11.54/11.67 apply (zenon_L978_); trivial. % 11.54/11.67 exact (zenon_H1a9 zenon_Hc7). % 11.54/11.67 (* end of lemma zenon_L980_ *) % 11.54/11.67 assert (zenon_L981_ : (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e0)) -> (~((op (e1) (e3)) = (e1))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e3)) -> False). % 11.54/11.67 do 0 intro. intros zenon_H154 zenon_H96 zenon_H91 zenon_H117 zenon_H18a zenon_H61 zenon_H40. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H7a | zenon_intro zenon_H155 ]. % 11.54/11.67 apply (zenon_L187_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H90 | zenon_intro zenon_H156 ]. % 11.54/11.67 exact (zenon_H91 zenon_H90). % 11.54/11.67 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H62 | zenon_intro zenon_H8b ]. % 11.54/11.67 apply (zenon_L332_); trivial. % 11.54/11.67 apply (zenon_L634_); trivial. % 11.54/11.67 (* end of lemma zenon_L981_ *) % 11.54/11.67 assert (zenon_L982_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (e1))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e3)) -> False). % 11.54/11.67 do 0 intro. intros zenon_Hfa zenon_H25 zenon_H1aa zenon_H226 zenon_H15e zenon_H95 zenon_H16c zenon_H6d zenon_Hc4 zenon_H242 zenon_Hcf zenon_H154 zenon_H91 zenon_H117 zenon_H18a zenon_H61 zenon_H40. % 11.54/11.67 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H6e | zenon_intro zenon_Hfc ]. % 11.54/11.67 apply (zenon_L624_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hfd ]. % 11.54/11.67 apply (zenon_L656_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hce | zenon_intro zenon_H96 ]. % 11.54/11.67 exact (zenon_Hcf zenon_Hce). % 11.54/11.67 apply (zenon_L981_); trivial. % 11.54/11.67 (* end of lemma zenon_L982_ *) % 11.54/11.67 assert (zenon_L983_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e2)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (e1))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False). % 11.54/11.67 do 0 intro. intros zenon_H44 zenon_H34 zenon_H3c zenon_H1f zenon_H41 zenon_H2f zenon_Hfa zenon_H25 zenon_H1aa zenon_H226 zenon_H15e zenon_H95 zenon_H16c zenon_H6d zenon_Hc4 zenon_H242 zenon_Hcf zenon_H154 zenon_H91 zenon_H117 zenon_H18a zenon_H61. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.54/11.67 apply (zenon_L7_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.54/11.67 apply (zenon_L130_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.54/11.67 apply (zenon_L13_); trivial. % 11.54/11.67 apply (zenon_L982_); trivial. % 11.54/11.67 (* end of lemma zenon_L983_ *) % 11.54/11.67 assert (zenon_L984_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e3)) = (e3)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e2)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (e1))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False). % 11.54/11.67 do 0 intro. intros zenon_H161 zenon_H40 zenon_H11b zenon_Hcb zenon_H30 zenon_H44 zenon_H34 zenon_H3c zenon_H1f zenon_H41 zenon_H2f zenon_Hfa zenon_H25 zenon_H1aa zenon_H226 zenon_H95 zenon_H16c zenon_H6d zenon_Hc4 zenon_H242 zenon_Hcf zenon_H154 zenon_H91 zenon_H117 zenon_H18a zenon_H61. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ]. % 11.54/11.67 apply (zenon_L7_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ]. % 11.54/11.67 apply (zenon_L123_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ]. % 11.54/11.67 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H6e | zenon_intro zenon_Hfc ]. % 11.54/11.67 apply (zenon_L624_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hfd ]. % 11.54/11.67 apply (zenon_L639_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hce | zenon_intro zenon_H96 ]. % 11.54/11.67 exact (zenon_Hcf zenon_Hce). % 11.54/11.67 apply (zenon_L981_); trivial. % 11.54/11.67 apply (zenon_L983_); trivial. % 11.54/11.67 (* end of lemma zenon_L984_ *) % 11.54/11.67 assert (zenon_L985_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e3)) = (e1))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e0) = (e2))) -> (~((e0) = (e1))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (~((op (e2) (e2)) = (e3))) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False). % 11.54/11.67 do 0 intro. intros zenon_H49 zenon_H91 zenon_Hfb zenon_H27 zenon_H20 zenon_Hcf zenon_Hf3 zenon_H41 zenon_H3c zenon_He2 zenon_H34 zenon_H1f zenon_H10b zenon_H161 zenon_H11b zenon_Hcb zenon_H30 zenon_H44 zenon_Hfa zenon_H25 zenon_H1aa zenon_H226 zenon_H95 zenon_H16c zenon_Hc4 zenon_H242 zenon_H154 zenon_H117 zenon_H61 zenon_H92 zenon_H18a zenon_H16e. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.54/11.67 apply (zenon_L3_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.54/11.67 apply (zenon_L211_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.54/11.67 apply (zenon_L7_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.54/11.67 apply (zenon_L130_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.54/11.67 apply (zenon_L13_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H6d | zenon_intro zenon_H93 ]. % 11.54/11.67 apply (zenon_L984_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H56 | zenon_intro zenon_H94 ]. % 11.54/11.67 apply (zenon_L223_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H88 | zenon_intro zenon_H90 ]. % 11.54/11.67 apply (zenon_L661_); trivial. % 11.54/11.67 exact (zenon_H91 zenon_H90). % 11.54/11.67 apply (zenon_L213_); trivial. % 11.54/11.67 (* end of lemma zenon_L985_ *) % 11.54/11.67 assert (zenon_L986_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e1))) -> ((op (e1) (e2)) = (e0)) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e2) = (e3))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e1))) -> (~((e1) = (e2))) -> ((op (e2) (e3)) = (e2)) -> False). % 11.54/11.67 do 0 intro. intros zenon_H148 zenon_Hcb zenon_He3 zenon_H19c zenon_H6f zenon_Had zenon_H222 zenon_H2c zenon_H251 zenon_H233 zenon_Hb0 zenon_H20 zenon_He0 zenon_H47 zenon_H210 zenon_H22e zenon_H11b zenon_H41 zenon_He2 zenon_H1cb zenon_H3c zenon_H167 zenon_H56 zenon_H157 zenon_H11c zenon_H30 zenon_H18a. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H39 | zenon_intro zenon_H149 ]. % 11.54/11.67 apply (zenon_L680_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H78 | zenon_intro zenon_H14a ]. % 11.54/11.67 apply (zenon_L510_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H145 | zenon_intro zenon_H147 ]. % 11.54/11.67 apply (zenon_L691_); trivial. % 11.54/11.67 apply (zenon_L690_); trivial. % 11.54/11.67 (* end of lemma zenon_L986_ *) % 11.54/11.67 assert (zenon_L987_ : (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (e3))) -> (~((e2) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e1) (e2)) = (e0)) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e0)) = (e1)) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e3)) = (e1))) -> ((op (e2) (e3)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e3) (e3)) = (e1))) -> False). % 11.54/11.67 do 0 intro. intros zenon_H1d5 zenon_H11c zenon_H157 zenon_H56 zenon_H167 zenon_H3c zenon_H1cb zenon_He2 zenon_H41 zenon_H11b zenon_H22e zenon_H210 zenon_He0 zenon_H20 zenon_Hb0 zenon_H233 zenon_H251 zenon_H2c zenon_H222 zenon_Had zenon_H6f zenon_H19c zenon_He3 zenon_Hcb zenon_H148 zenon_H91 zenon_H18a zenon_H30 zenon_H1e5. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H47 | zenon_intro zenon_H1d6 ]. % 11.54/11.67 apply (zenon_L986_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H90 | zenon_intro zenon_H1d7 ]. % 11.54/11.67 exact (zenon_H91 zenon_H90). % 11.54/11.67 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H118 | zenon_intro zenon_He7 ]. % 11.54/11.67 apply (zenon_L245_); trivial. % 11.54/11.67 exact (zenon_H1e5 zenon_He7). % 11.54/11.67 (* end of lemma zenon_L987_ *) % 11.54/11.67 assert (zenon_L988_ : (~((op (e3) (e3)) = (e1))) -> (~((op (e1) (e3)) = (e1))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e1))) -> ((op (e1) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e2) = (e3))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e1))) -> (~((e1) = (e2))) -> ((op (e2) (e3)) = (e2)) -> False). % 11.54/11.67 do 0 intro. intros zenon_H1e5 zenon_H91 zenon_H148 zenon_Hcb zenon_He3 zenon_H19c zenon_Had zenon_H222 zenon_H2c zenon_H251 zenon_H233 zenon_Hb0 zenon_H20 zenon_He0 zenon_H210 zenon_H22e zenon_H11b zenon_H41 zenon_He2 zenon_H1cb zenon_H3c zenon_H167 zenon_H1d5 zenon_H56 zenon_H157 zenon_H11c zenon_H30 zenon_H18a. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H6f | zenon_intro zenon_H11d ]. % 11.54/11.67 apply (zenon_L987_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H11e ]. % 11.54/11.67 apply (zenon_L239_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H11f | zenon_intro zenon_H118 ]. % 11.54/11.67 exact (zenon_H11c zenon_H11f). % 11.54/11.67 apply (zenon_L245_); trivial. % 11.54/11.67 (* end of lemma zenon_L988_ *) % 11.54/11.67 assert (zenon_L989_ : (~((e0) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e3)) -> ((op (e0) (e2)) = (e1)) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e1) (e3)) = (e1))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e1))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e2) = (e3))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e1))) -> (~((e1) = (e2))) -> ((op (e2) (e3)) = (e2)) -> False). % 11.54/11.67 do 0 intro. intros zenon_H34 zenon_H10e zenon_H75 zenon_H2e zenon_Hf3 zenon_H1e5 zenon_H91 zenon_H148 zenon_Hcb zenon_He3 zenon_H19c zenon_Had zenon_H222 zenon_H2c zenon_H251 zenon_H233 zenon_Hb0 zenon_H20 zenon_H210 zenon_H22e zenon_H1d5 zenon_Hfb zenon_H11b zenon_H41 zenon_He2 zenon_H1cb zenon_H3c zenon_H167 zenon_H56 zenon_H157 zenon_H11c zenon_H30 zenon_H18a. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H39 | zenon_intro zenon_H149 ]. % 11.54/11.67 apply (zenon_L680_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H78 | zenon_intro zenon_H14a ]. % 11.54/11.67 apply (zenon_L510_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H145 | zenon_intro zenon_H147 ]. % 11.54/11.67 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hd0 | zenon_intro zenon_Hfe ]. % 11.54/11.67 apply (zenon_L61_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_He0 | zenon_intro zenon_Hff ]. % 11.54/11.67 apply (zenon_L988_); trivial. % 11.54/11.67 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Hce | zenon_intro zenon_Hf7 ]. % 11.54/11.67 apply (zenon_L698_); trivial. % 11.54/11.67 apply (zenon_L684_); trivial. % 11.54/11.67 apply (zenon_L690_); trivial. % 11.54/11.67 (* end of lemma zenon_L989_ *) % 11.54/11.67 assert (zenon_L990_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (e1))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((e0) = (e1))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> False). % 11.54/11.67 do 0 intro. intros zenon_H4c zenon_H10b zenon_H1d5 zenon_H91 zenon_H16e zenon_H18a zenon_H44 zenon_H34 zenon_H25 zenon_He2 zenon_Hcb zenon_H11b zenon_H157 zenon_H30 zenon_H167 zenon_H41 zenon_H3c zenon_H16a zenon_H1e5 zenon_H101 zenon_H1f3 zenon_H1f0 zenon_Hb0 zenon_H233 zenon_H1cb zenon_H251 zenon_H222 zenon_Had zenon_H19c zenon_He3 zenon_H148 zenon_Hf3 zenon_H10e zenon_H20 zenon_Hfb zenon_Hb7 zenon_H4d zenon_H1ca zenon_H161 zenon_H27 zenon_H49 zenon_H22e zenon_H210 zenon_H216 zenon_H56 zenon_H11c zenon_Hf6. % 11.54/11.68 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.54/11.68 exact (zenon_H4d zenon_H4f). % 11.54/11.68 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.54/11.68 apply (zenon_L223_); trivial. % 11.54/11.68 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.54/11.68 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.54/11.68 apply (zenon_L3_); trivial. % 11.54/11.68 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.54/11.68 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ]. % 11.54/11.68 apply (zenon_L7_); trivial. % 11.54/11.68 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ]. % 11.54/11.68 apply (zenon_L989_); trivial. % 11.54/11.68 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ]. % 11.54/11.68 apply (zenon_L679_); trivial. % 11.54/11.68 apply (zenon_L477_); trivial. % 11.54/11.68 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.54/11.68 apply (zenon_L6_); trivial. % 11.54/11.68 apply (zenon_L213_); trivial. % 11.54/11.68 apply (zenon_L695_); trivial. % 11.54/11.68 (* end of lemma zenon_L990_ *) % 11.54/11.68 assert (zenon_L991_ : ((((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))\/((((op (e1) (e1)) = (e1))/\(((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0)))/\(((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1)))/\(((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2)))/\((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3)))))))\/((((op (e2) (e2)) = (e2))/\(((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0)))/\(((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3)))))))\/(((op (e3) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3)))))))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((e0) = (e3))) -> (~((e0) = (e1))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e3)) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((e1) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e3))) -> (~((e2) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> False). % 11.54/11.68 do 0 intro. intros zenon_H1b0 zenon_H92 zenon_H117 zenon_H61 zenon_H154 zenon_H16c zenon_H1aa zenon_H242 zenon_H95 zenon_Hc4 zenon_H65 zenon_Hb9 zenon_H236 zenon_H18f zenon_H38 zenon_H1b8 zenon_H1e2 zenon_H263 zenon_H18b zenon_H106 zenon_H13a zenon_H226 zenon_H71 zenon_H259 zenon_H1df zenon_H125 zenon_H203 zenon_H12d zenon_Hfa zenon_H122 zenon_He5 zenon_H223 zenon_Hf0 zenon_H15d zenon_Hc0 zenon_H10b zenon_H49 zenon_H16e zenon_H34 zenon_H20 zenon_H148 zenon_H210 zenon_Hb0 zenon_He3 zenon_Had zenon_H19c zenon_H222 zenon_H1cb zenon_H251 zenon_H22e zenon_H91 zenon_H1d5 zenon_Hf3 zenon_H10e zenon_Hfb zenon_H11b zenon_H30 zenon_H157 zenon_H3c zenon_Hcb zenon_He2 zenon_H41 zenon_H167 zenon_H1f0 zenon_H101 zenon_H1f3 zenon_H161 zenon_H27 zenon_H44 zenon_Hf6 zenon_Hb7 zenon_H216 zenon_H16a zenon_H1ca zenon_H4c zenon_H18a zenon_H192 zenon_H233. % 11.54/11.68 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H51 | zenon_intro zenon_H1b1 ]. % 11.54/11.68 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H25. zenon_intro zenon_H52. % 11.54/11.68 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H1f7. zenon_intro zenon_H1f6. % 11.54/11.68 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H1f9. zenon_intro zenon_H1f8. % 11.54/11.68 apply (zenon_and_s _ _ zenon_H1f8). zenon_intro zenon_H1fb. zenon_intro zenon_H1fa. % 11.54/11.68 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_Hcf | zenon_intro zenon_Hb5 ]. % 11.54/11.68 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H9e | zenon_intro zenon_H15e ]. % 11.54/11.68 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.54/11.68 apply (zenon_L129_); trivial. % 11.54/11.68 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.54/11.68 apply (zenon_L985_); trivial. % 11.54/11.68 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.54/11.68 apply (zenon_L673_); trivial. % 11.54/11.68 apply (zenon_L676_); trivial. % 11.54/11.68 apply (zenon_L677_); trivial. % 11.54/11.68 apply (zenon_L334_); trivial. % 11.54/11.68 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H53 | zenon_intro zenon_H1b2 ]. % 11.54/11.68 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H56. zenon_intro zenon_H55. % 11.54/11.68 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H1c0. zenon_intro zenon_H1bf. % 11.54/11.68 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_H1fd. zenon_intro zenon_H1fc. % 11.54/11.68 apply (zenon_and_s _ _ zenon_H1fc). zenon_intro zenon_H1ff. zenon_intro zenon_H1fe. % 11.54/11.68 apply (zenon_or_s _ _ zenon_H1c0); [ zenon_intro zenon_H4d | zenon_intro zenon_H1e ]. % 11.54/11.68 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H11c | zenon_intro zenon_Hc7 ]. % 11.54/11.68 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e5 | zenon_intro zenon_H147 ]. % 11.54/11.68 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H25 | zenon_intro zenon_H190 ]. % 11.54/11.68 apply (zenon_L990_); trivial. % 11.54/11.68 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H1e | zenon_intro zenon_H191 ]. % 11.54/11.68 apply (zenon_L727_); trivial. % 11.54/11.68 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H72 ]. % 11.54/11.68 apply (zenon_L725_); trivial. % 11.54/11.68 apply (zenon_L726_); trivial. % 11.54/11.68 apply (zenon_L690_); trivial. % 11.54/11.68 apply (zenon_L184_); trivial. % 11.54/11.68 apply (zenon_L728_); trivial. % 11.54/11.68 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H132 | zenon_intro zenon_H15f ]. % 11.54/11.68 apply (zenon_L729_); trivial. % 11.54/11.68 apply (zenon_L456_); trivial. % 11.54/11.68 (* end of lemma zenon_L991_ *) % 11.54/11.68 assert (zenon_L992_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e3)) -> ((op (e0) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e3))) -> ((op (e2) (e3)) = (e2)) -> (~((e2) = (e3))) -> False). % 11.54/11.68 do 0 intro. intros zenon_H167 zenon_H226 zenon_H15e zenon_H39 zenon_Hcb zenon_He2 zenon_H18a zenon_H41. % 11.54/11.68 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H152 | zenon_intro zenon_H168 ]. % 11.54/11.68 apply (zenon_L438_); trivial. % 11.54/11.68 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H145 | zenon_intro zenon_H169 ]. % 11.54/11.68 apply (zenon_L162_); trivial. % 11.54/11.68 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_He1 | zenon_intro zenon_H164 ]. % 11.54/11.68 exact (zenon_He2 zenon_He1). % 11.54/11.68 apply (zenon_L650_); trivial. % 11.54/11.68 (* end of lemma zenon_L992_ *) % 11.54/11.68 assert (zenon_L993_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e3)) = (e1)) -> ((op (e3) (e1)) = (e0)) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> False). % 11.54/11.68 do 0 intro. intros zenon_H1df zenon_H25 zenon_H1e2 zenon_H6d zenon_H212 zenon_He7 zenon_H120 zenon_Hec zenon_Hf6. % 11.54/11.68 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H1e0 ]. % 11.54/11.68 apply (zenon_L261_); trivial. % 11.54/11.68 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H99 | zenon_intro zenon_H1e1 ]. % 11.54/11.68 apply (zenon_L331_); trivial. % 11.54/11.68 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H9a | zenon_intro zenon_H15e ]. % 11.54/11.68 apply (zenon_L266_); trivial. % 11.54/11.68 apply (zenon_L269_); trivial. % 11.54/11.68 (* end of lemma zenon_L993_ *) % 11.54/11.68 assert (zenon_L994_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e0)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e1)) = (e0)) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> False). % 11.54/11.68 do 0 intro. intros zenon_H1f0 zenon_H233 zenon_He3 zenon_H18a zenon_He5 zenon_H96 zenon_Hf0 zenon_H3c zenon_H1df zenon_H25 zenon_H1e2 zenon_H6d zenon_H212 zenon_H120 zenon_Hec zenon_Hf6. % 11.54/11.68 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H99 | zenon_intro zenon_H1f1 ]. % 11.54/11.68 apply (zenon_L331_); trivial. % 11.54/11.68 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_He6 | zenon_intro zenon_H1f2 ]. % 11.54/11.68 apply (zenon_L642_); trivial. % 11.54/11.68 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H1d9 | zenon_intro zenon_He7 ]. % 11.54/11.68 apply (zenon_L273_); trivial. % 11.54/11.68 apply (zenon_L993_); trivial. % 11.54/11.68 (* end of lemma zenon_L994_ *) % 11.54/11.68 assert (zenon_L995_ : (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e0)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e0)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((e1) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e0)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e3))) -> False). % 11.54/11.68 do 0 intro. intros zenon_H251 zenon_H41 zenon_He2 zenon_Hcb zenon_H226 zenon_H167 zenon_H222 zenon_H39 zenon_Hf6 zenon_H120 zenon_H212 zenon_H6d zenon_H1e2 zenon_H25 zenon_H1df zenon_H3c zenon_Hf0 zenon_H96 zenon_He5 zenon_H18a zenon_He3 zenon_H1f0 zenon_H233. % 11.54/11.68 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H15e | zenon_intro zenon_H253 ]. % 11.54/11.68 apply (zenon_L992_); trivial. % 11.54/11.68 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ]. % 11.54/11.68 apply (zenon_L714_); trivial. % 11.54/11.68 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_Hec | zenon_intro zenon_Hed ]. % 11.54/11.68 apply (zenon_L994_); trivial. % 11.54/11.68 exact (zenon_H233 zenon_Hed). % 11.54/11.68 (* end of lemma zenon_L995_ *) % 11.54/11.68 assert (zenon_L996_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e2)) = (e0)) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e1)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e0) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e3))) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> False). % 11.54/11.68 do 0 intro. intros zenon_Hb9 zenon_H26b zenon_H228 zenon_He0 zenon_H233 zenon_H1f0 zenon_He3 zenon_H18a zenon_He5 zenon_Hf0 zenon_H3c zenon_H1df zenon_H25 zenon_H1e2 zenon_H6d zenon_H212 zenon_H120 zenon_Hf6 zenon_H39 zenon_H222 zenon_H167 zenon_H226 zenon_Hcb zenon_He2 zenon_H41 zenon_H251 zenon_H9e. % 11.54/11.68 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H72 | zenon_intro zenon_Hbe ]. % 11.54/11.68 exact (zenon_H26b zenon_H72). % 11.54/11.68 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H7a | zenon_intro zenon_Hbf ]. % 11.54/11.68 apply (zenon_L364_); trivial. % 11.54/11.68 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H96 | zenon_intro zenon_H9d ]. % 11.54/11.68 apply (zenon_L995_); trivial. % 11.54/11.68 exact (zenon_H9e zenon_H9d). % 11.54/11.68 (* end of lemma zenon_L996_ *) % 11.54/11.68 assert (zenon_L997_ : (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e2)) -> ((op (e3) (e3)) = (e2)) -> False). % 11.54/11.68 do 0 intro. intros zenon_H15d zenon_H9a zenon_Hb4. % 11.54/11.68 cut (((op (e3) (e0)) = (e2)) = ((op (e3) (e0)) = (op (e3) (e3)))). % 11.54/11.68 intro zenon_D_pnotp. % 11.54/11.68 apply zenon_H15d. % 11.54/11.68 rewrite <- zenon_D_pnotp. % 11.54/11.68 exact zenon_H9a. % 11.54/11.68 cut (((e2) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hea]. % 11.54/11.68 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hf9]. % 11.54/11.68 congruence. % 11.54/11.68 apply zenon_Hf9. apply refl_equal. % 11.54/11.68 apply zenon_Hea. apply sym_equal. exact zenon_Hb4. % 11.54/11.68 (* end of lemma zenon_L997_ *) % 11.54/11.68 assert (zenon_L998_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e2)) = (e0)) -> ((op (e3) (e3)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> False). % 11.54/11.68 do 0 intro. intros zenon_H1df zenon_H25 zenon_H1e2 zenon_Hf7 zenon_Hb4 zenon_H15d zenon_H147 zenon_H16a. % 11.54/11.68 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H1e0 ]. % 11.54/11.68 apply (zenon_L261_); trivial. % 11.54/11.68 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H99 | zenon_intro zenon_H1e1 ]. % 11.54/11.68 apply (zenon_L541_); trivial. % 11.54/11.68 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H9a | zenon_intro zenon_H15e ]. % 11.54/11.68 apply (zenon_L997_); trivial. % 11.54/11.68 apply (zenon_L474_); trivial. % 11.54/11.68 (* end of lemma zenon_L998_ *) % 11.54/11.68 assert (zenon_L999_ : (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e2)) = (e0)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e0)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> False). % 11.54/11.68 do 0 intro. intros zenon_Hf0 zenon_H9e zenon_H47 zenon_H13a zenon_H16a zenon_H147 zenon_H15d zenon_Hf7 zenon_H1e2 zenon_H25 zenon_H1df zenon_H233. % 11.54/11.68 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf1 ]. % 11.54/11.68 exact (zenon_H9e zenon_H9d). % 11.54/11.68 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_He7 | zenon_intro zenon_Hf2 ]. % 11.54/11.68 apply (zenon_L507_); trivial. % 11.54/11.68 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_Hb4 | zenon_intro zenon_Hed ]. % 11.54/11.68 apply (zenon_L998_); trivial. % 11.54/11.68 exact (zenon_H233 zenon_Hed). % 11.54/11.68 (* end of lemma zenon_L999_ *) % 11.54/11.68 assert (zenon_L1000_ : (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e1)) -> ((op (e2) (e3)) = (e0)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e3) (e3)) = (e0))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e3) (e2)) = (e0)) -> (~((e0) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> False). % 11.54/11.68 do 0 intro. intros zenon_H251 zenon_H226 zenon_H18a zenon_H95 zenon_Hc4 zenon_Hc5 zenon_H96 zenon_H242 zenon_H1df zenon_H25 zenon_H1e2 zenon_H15d zenon_H16a zenon_H13a zenon_H47 zenon_H9e zenon_Hf0 zenon_Hf7 zenon_H34 zenon_H233. % 11.54/11.68 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H15e | zenon_intro zenon_H253 ]. % 11.54/11.68 apply (zenon_L657_); trivial. % 11.54/11.68 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ]. % 11.54/11.68 apply (zenon_L999_); trivial. % 11.54/11.68 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_Hec | zenon_intro zenon_Hed ]. % 11.54/11.68 apply (zenon_L89_); trivial. % 11.54/11.68 exact (zenon_H233 zenon_Hed). % 11.54/11.68 (* end of lemma zenon_L1000_ *) % 11.54/11.68 assert (zenon_L1001_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (~((e0) = (e3))) -> ((op (e3) (e2)) = (e0)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e0)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> False). % 11.54/11.68 do 0 intro. intros zenon_Hb9 zenon_H26b zenon_H41 zenon_H3c zenon_H236 zenon_H233 zenon_H34 zenon_Hf7 zenon_Hf0 zenon_H47 zenon_H13a zenon_H16a zenon_H15d zenon_H1e2 zenon_H25 zenon_H1df zenon_H242 zenon_Hc5 zenon_Hc4 zenon_H95 zenon_H18a zenon_H226 zenon_H251 zenon_H9e. % 11.54/11.68 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H72 | zenon_intro zenon_Hbe ]. % 11.54/11.68 exact (zenon_H26b zenon_H72). % 11.54/11.68 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H7a | zenon_intro zenon_Hbf ]. % 11.54/11.68 apply (zenon_L674_); trivial. % 11.54/11.68 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H96 | zenon_intro zenon_H9d ]. % 11.54/11.68 apply (zenon_L1000_); trivial. % 11.54/11.68 exact (zenon_H9e zenon_H9d). % 11.54/11.68 (* end of lemma zenon_L1001_ *) % 11.54/11.68 assert (zenon_L1002_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e3))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e1)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> False). % 11.54/11.68 do 0 intro. intros zenon_Hb9 zenon_H26b zenon_H41 zenon_H34 zenon_H47 zenon_H3c zenon_H236 zenon_H233 zenon_He3 zenon_H18a zenon_He5 zenon_He6 zenon_Hf0 zenon_H9e. % 11.54/11.68 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H72 | zenon_intro zenon_Hbe ]. % 11.54/11.68 exact (zenon_H26b zenon_H72). % 11.54/11.68 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H7a | zenon_intro zenon_Hbf ]. % 11.54/11.68 apply (zenon_L674_); trivial. % 11.54/11.68 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H96 | zenon_intro zenon_H9d ]. % 11.54/11.68 apply (zenon_L642_); trivial. % 11.54/11.68 exact (zenon_H9e zenon_H9d). % 11.54/11.68 (* end of lemma zenon_L1002_ *) % 11.54/11.68 assert (zenon_L1003_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e2))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e0)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e2)) = (e0)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e0) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e3))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> False). % 11.54/11.68 do 0 intro. intros zenon_H105 zenon_H30 zenon_H2c zenon_H1ca zenon_H13a zenon_H16a zenon_H15d zenon_H1e2 zenon_H25 zenon_H1df zenon_H242 zenon_Hc4 zenon_H95 zenon_H226 zenon_H251 zenon_H228 zenon_He0 zenon_H1f0 zenon_H6d zenon_H212 zenon_Hf6 zenon_H39 zenon_H222 zenon_H167 zenon_Hcb zenon_He2 zenon_H122 zenon_Hb9 zenon_H26b zenon_H41 zenon_H34 zenon_H47 zenon_H3c zenon_H236 zenon_H233 zenon_He3 zenon_H18a zenon_He5 zenon_Hf0 zenon_H9e. % 11.54/11.68 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H1f | zenon_intro zenon_H107 ]. % 11.54/11.68 apply (zenon_L211_); trivial. % 11.54/11.68 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H56 | zenon_intro zenon_H108 ]. % 11.54/11.68 apply (zenon_L459_); trivial. % 11.54/11.68 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hc5 | zenon_intro zenon_He6 ]. % 11.54/11.68 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H123 ]. % 11.54/11.68 apply (zenon_L261_); trivial. % 11.54/11.68 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H120 | zenon_intro zenon_H124 ]. % 11.54/11.68 apply (zenon_L996_); trivial. % 11.54/11.68 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H9d ]. % 11.54/11.68 apply (zenon_L1001_); trivial. % 11.54/11.68 exact (zenon_H9e zenon_H9d). % 11.54/11.68 apply (zenon_L1002_); trivial. % 11.54/11.68 (* end of lemma zenon_L1003_ *) % 11.54/11.68 assert (zenon_L1004_ : (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e2))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e0) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e3))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> False). % 11.54/11.68 do 0 intro. intros zenon_H251 zenon_H226 zenon_H95 zenon_Hc4 zenon_H242 zenon_H1df zenon_H25 zenon_H1e2 zenon_H15d zenon_H16a zenon_H13a zenon_Hcf zenon_H105 zenon_H30 zenon_H2c zenon_H1ca zenon_H228 zenon_H1f0 zenon_H6d zenon_H212 zenon_Hf6 zenon_H39 zenon_H222 zenon_H167 zenon_Hcb zenon_He2 zenon_H122 zenon_H1b8 zenon_Hfb zenon_Hb9 zenon_H26b zenon_H41 zenon_H34 zenon_H47 zenon_H3c zenon_H236 zenon_H233 zenon_He3 zenon_H18a zenon_He5 zenon_Hf0 zenon_H9e. % 11.54/11.68 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H1f | zenon_intro zenon_H107 ]. % 11.54/11.68 apply (zenon_L130_); trivial. % 11.54/11.68 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H56 | zenon_intro zenon_H108 ]. % 11.54/11.68 apply (zenon_L459_); trivial. % 11.54/11.68 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hc5 | zenon_intro zenon_He6 ]. % 11.54/11.68 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hd0 | zenon_intro zenon_Hfe ]. % 11.54/11.68 apply (zenon_L221_); trivial. % 11.54/11.68 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_He0 | zenon_intro zenon_Hff ]. % 11.54/11.68 apply (zenon_L1003_); trivial. % 11.54/11.68 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Hce | zenon_intro zenon_Hf7 ]. % 11.54/11.68 exact (zenon_Hcf zenon_Hce). % 11.54/11.68 apply (zenon_L1001_); trivial. % 11.54/11.68 apply (zenon_L1002_); trivial. % 11.54/11.68 (* end of lemma zenon_L1004_ *) % 11.54/11.68 assert (zenon_L1005_ : ((op (e3) (e1)) = (e3)) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> False). % 11.54/11.68 do 0 intro. intros zenon_H147 zenon_H78 zenon_H1f3. % 11.54/11.68 elim (classic ((op (e3) (e1)) = (op (e3) (e1)))); [ zenon_intro zenon_H239 | zenon_intro zenon_He9 ]. % 11.54/11.68 cut (((op (e3) (e1)) = (op (e3) (e1))) = ((op (e1) (e1)) = (op (e3) (e1)))). % 11.54/11.68 intro zenon_D_pnotp. % 11.54/11.68 apply zenon_H1f3. % 11.54/11.68 rewrite <- zenon_D_pnotp. % 11.54/11.68 exact zenon_H239. % 11.54/11.68 cut (((op (e3) (e1)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_He9]. % 11.54/11.68 cut (((op (e3) (e1)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H272]. % 11.54/11.68 congruence. % 11.54/11.68 cut (((op (e3) (e1)) = (e3)) = ((op (e3) (e1)) = (op (e1) (e1)))). % 11.54/11.68 intro zenon_D_pnotp. % 11.54/11.68 apply zenon_H272. % 11.54/11.68 rewrite <- zenon_D_pnotp. % 11.54/11.68 exact zenon_H147. % 11.54/11.68 cut (((e3) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H81]. % 11.54/11.68 cut (((op (e3) (e1)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_He9]. % 11.54/11.68 congruence. % 11.54/11.68 apply zenon_He9. apply refl_equal. % 11.54/11.68 apply zenon_H81. apply sym_equal. exact zenon_H78. % 11.54/11.68 apply zenon_He9. apply refl_equal. % 11.54/11.68 apply zenon_He9. apply refl_equal. % 11.54/11.68 (* end of lemma zenon_L1005_ *) % 11.54/11.68 assert (zenon_L1006_ : (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e1)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e0)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e0)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((e1) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e0)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e3))) -> False). % 11.54/11.68 do 0 intro. intros zenon_H251 zenon_H226 zenon_H95 zenon_Hc4 zenon_Hc5 zenon_H242 zenon_H1f3 zenon_H78 zenon_Hf6 zenon_H120 zenon_H212 zenon_H6d zenon_H1e2 zenon_H25 zenon_H1df zenon_H3c zenon_Hf0 zenon_H96 zenon_He5 zenon_H18a zenon_He3 zenon_H1f0 zenon_H233. % 11.54/11.68 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H15e | zenon_intro zenon_H253 ]. % 11.54/11.68 apply (zenon_L657_); trivial. % 11.54/11.68 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ]. % 11.54/11.68 apply (zenon_L1005_); trivial. % 11.54/11.68 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_Hec | zenon_intro zenon_Hed ]. % 11.54/11.68 apply (zenon_L994_); trivial. % 11.54/11.68 exact (zenon_H233 zenon_Hed). % 11.54/11.68 (* end of lemma zenon_L1006_ *) % 11.54/11.68 assert (zenon_L1007_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e2)) = (e0)) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e1)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> False). % 11.54/11.68 do 0 intro. intros zenon_Hb9 zenon_H26b zenon_H228 zenon_He0 zenon_H233 zenon_H1f0 zenon_He3 zenon_H18a zenon_He5 zenon_Hf0 zenon_H3c zenon_H1df zenon_H25 zenon_H1e2 zenon_H6d zenon_H212 zenon_H120 zenon_Hf6 zenon_H78 zenon_H1f3 zenon_H242 zenon_Hc5 zenon_Hc4 zenon_H95 zenon_H226 zenon_H251 zenon_H9e. % 11.54/11.68 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H72 | zenon_intro zenon_Hbe ]. % 11.54/11.68 exact (zenon_H26b zenon_H72). % 11.54/11.68 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H7a | zenon_intro zenon_Hbf ]. % 11.54/11.68 apply (zenon_L364_); trivial. % 11.54/11.68 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H96 | zenon_intro zenon_H9d ]. % 11.54/11.68 apply (zenon_L1006_); trivial. % 11.54/11.68 exact (zenon_H9e zenon_H9d). % 11.54/11.68 (* end of lemma zenon_L1007_ *) % 11.54/11.68 assert (zenon_L1008_ : (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e1)) -> ((op (e2) (e3)) = (e0)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e3)) -> ((op (e3) (e2)) = (e0)) -> (~((e0) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> False). % 11.54/11.68 do 0 intro. intros zenon_H251 zenon_H226 zenon_H18a zenon_H95 zenon_Hc4 zenon_Hc5 zenon_H96 zenon_H242 zenon_H1f3 zenon_H78 zenon_Hf7 zenon_H34 zenon_H233. % 11.54/11.68 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H15e | zenon_intro zenon_H253 ]. % 11.54/11.68 apply (zenon_L657_); trivial. % 11.54/11.68 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ]. % 11.54/11.68 apply (zenon_L1005_); trivial. % 11.54/11.68 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_Hec | zenon_intro zenon_Hed ]. % 11.54/11.68 apply (zenon_L89_); trivial. % 11.54/11.68 exact (zenon_H233 zenon_Hed). % 11.54/11.68 (* end of lemma zenon_L1008_ *) % 11.54/11.68 assert (zenon_L1009_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e0)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((e1) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e1)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e3)) -> (~((e0) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> ((op (e1) (e2)) = (e0)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e3)) = (e0))) -> False). % 11.54/11.68 do 0 intro. intros zenon_H122 zenon_Hf6 zenon_H212 zenon_H6d zenon_H1e2 zenon_H25 zenon_H1df zenon_H3c zenon_Hf0 zenon_He5 zenon_He3 zenon_H1f0 zenon_H251 zenon_H226 zenon_H18a zenon_H95 zenon_Hc4 zenon_Hc5 zenon_H242 zenon_H1f3 zenon_H78 zenon_H34 zenon_H233 zenon_He0 zenon_H228 zenon_H26b zenon_Hb9 zenon_H9e. % 11.54/11.68 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H123 ]. % 11.54/11.68 apply (zenon_L261_); trivial. % 11.54/11.68 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H120 | zenon_intro zenon_H124 ]. % 11.54/11.68 apply (zenon_L1007_); trivial. % 11.54/11.68 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H9d ]. % 11.54/11.68 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H72 | zenon_intro zenon_Hbe ]. % 11.54/11.68 exact (zenon_H26b zenon_H72). % 11.54/11.68 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H7a | zenon_intro zenon_Hbf ]. % 11.54/11.68 apply (zenon_L364_); trivial. % 11.54/11.68 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H96 | zenon_intro zenon_H9d ]. % 11.54/11.68 apply (zenon_L1008_); trivial. % 11.54/11.68 exact (zenon_H9e zenon_H9d). % 11.54/11.68 exact (zenon_H9e zenon_H9d). % 11.54/11.68 (* end of lemma zenon_L1009_ *) % 11.54/11.68 assert (zenon_L1010_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((e0) = (e3))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e1)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e0) (e1)) = (e3)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e3))) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> False). % 11.54/11.68 do 0 intro. intros zenon_Hb9 zenon_H26b zenon_H34 zenon_H8b zenon_H233 zenon_H1f0 zenon_He3 zenon_H18a zenon_He5 zenon_Hf0 zenon_H3c zenon_H1df zenon_H25 zenon_H1e2 zenon_H6d zenon_H212 zenon_H120 zenon_Hf6 zenon_H39 zenon_H222 zenon_H167 zenon_H226 zenon_Hcb zenon_He2 zenon_H41 zenon_H251 zenon_H9e. % 11.54/11.68 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H72 | zenon_intro zenon_Hbe ]. % 11.54/11.68 exact (zenon_H26b zenon_H72). % 11.54/11.68 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H7a | zenon_intro zenon_Hbf ]. % 11.54/11.68 apply (zenon_L36_); trivial. % 11.54/11.68 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H96 | zenon_intro zenon_H9d ]. % 11.54/11.68 apply (zenon_L995_); trivial. % 11.54/11.68 exact (zenon_H9e zenon_H9d). % 11.54/11.68 (* end of lemma zenon_L1010_ *) % 11.54/11.68 assert (zenon_L1011_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((e0) = (e3))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e1)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> False). % 11.54/11.68 do 0 intro. intros zenon_Hb9 zenon_H26b zenon_H34 zenon_H8b zenon_H233 zenon_He3 zenon_H18a zenon_He5 zenon_He6 zenon_Hf0 zenon_H9e. % 11.54/11.68 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H72 | zenon_intro zenon_Hbe ]. % 11.54/11.68 exact (zenon_H26b zenon_H72). % 11.54/11.68 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H7a | zenon_intro zenon_Hbf ]. % 11.54/11.68 apply (zenon_L36_); trivial. % 11.54/11.68 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H96 | zenon_intro zenon_H9d ]. % 11.54/11.68 apply (zenon_L642_); trivial. % 11.54/11.68 exact (zenon_H9e zenon_H9d). % 11.54/11.68 (* end of lemma zenon_L1011_ *) % 11.54/11.68 assert (zenon_L1012_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> ((op (e3) (e0)) = (e2)) -> (~((op (e3) (e3)) = (e0))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> ((op (e1) (e3)) = (e3)) -> (~((e0) = (e3))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e1)) = (e0)) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> False). % 11.54/11.68 do 0 intro. intros zenon_H1f0 zenon_H30 zenon_H9a zenon_H9e zenon_Hf0 zenon_He5 zenon_H18a zenon_He3 zenon_H233 zenon_H8b zenon_H34 zenon_H26b zenon_Hb9 zenon_H3c zenon_H1df zenon_H25 zenon_H1e2 zenon_H6d zenon_H212 zenon_H120 zenon_Hec zenon_Hf6. % 11.54/11.68 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H99 | zenon_intro zenon_H1f1 ]. % 11.54/11.68 apply (zenon_L41_); trivial. % 11.54/11.68 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_He6 | zenon_intro zenon_H1f2 ]. % 11.54/11.68 apply (zenon_L1011_); trivial. % 11.54/11.68 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H1d9 | zenon_intro zenon_He7 ]. % 11.54/11.68 apply (zenon_L273_); trivial. % 11.54/11.68 apply (zenon_L993_); trivial. % 11.54/11.68 (* end of lemma zenon_L1012_ *) % 11.54/11.68 assert (zenon_L1013_ : (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e1)) -> ((op (e2) (e3)) = (e0)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e0)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e0)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((e1) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((e0) = (e3))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> ((op (e3) (e0)) = (e2)) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e3))) -> False). % 11.54/11.68 do 0 intro. intros zenon_H251 zenon_H226 zenon_H95 zenon_Hc4 zenon_Hc5 zenon_H96 zenon_H242 zenon_H1f3 zenon_H78 zenon_Hf6 zenon_H120 zenon_H212 zenon_H6d zenon_H1e2 zenon_H25 zenon_H1df zenon_H3c zenon_Hb9 zenon_H26b zenon_H34 zenon_H8b zenon_He3 zenon_H18a zenon_He5 zenon_Hf0 zenon_H9e zenon_H9a zenon_H30 zenon_H1f0 zenon_H233. % 11.54/11.68 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H15e | zenon_intro zenon_H253 ]. % 11.54/11.68 apply (zenon_L657_); trivial. % 11.54/11.68 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ]. % 11.54/11.68 apply (zenon_L1005_); trivial. % 11.54/11.68 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_Hec | zenon_intro zenon_Hed ]. % 11.54/11.68 apply (zenon_L1012_); trivial. % 11.54/11.68 exact (zenon_H233 zenon_Hed). % 11.54/11.68 (* end of lemma zenon_L1013_ *) % 11.54/11.68 assert (zenon_L1014_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e1)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e0)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((op (e1) (e2)) = (e0)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (~((e1) = (e3))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((op (e3) (e0)) = (e2)) -> ((op (e1) (e3)) = (e3)) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> ((op (e3) (e1)) = (e0)) -> False). % 11.54/11.68 do 0 intro. intros zenon_H148 zenon_He2 zenon_Hcb zenon_H167 zenon_H222 zenon_H226 zenon_H95 zenon_Hc4 zenon_Hc5 zenon_H242 zenon_H1f3 zenon_Hf6 zenon_H212 zenon_H6d zenon_H1e2 zenon_H25 zenon_H1df zenon_He0 zenon_H228 zenon_H9e zenon_H1f0 zenon_H30 zenon_He3 zenon_H18a zenon_He5 zenon_Hf0 zenon_H233 zenon_H3c zenon_H1cb zenon_H41 zenon_H251 zenon_H9a zenon_H8b zenon_H26b zenon_Hb9 zenon_H34 zenon_H120. % 11.54/11.68 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H39 | zenon_intro zenon_H149 ]. % 11.54/11.68 apply (zenon_L1010_); trivial. % 11.54/11.68 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H78 | zenon_intro zenon_H14a ]. % 11.54/11.68 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H72 | zenon_intro zenon_Hbe ]. % 11.54/11.68 exact (zenon_H26b zenon_H72). % 11.54/11.68 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H7a | zenon_intro zenon_Hbf ]. % 11.54/11.68 apply (zenon_L364_); trivial. % 11.54/11.68 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H96 | zenon_intro zenon_H9d ]. % 11.54/11.68 apply (zenon_L1013_); trivial. % 11.54/11.68 exact (zenon_H9e zenon_H9d). % 11.54/11.68 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H145 | zenon_intro zenon_H147 ]. % 11.54/11.68 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H72 | zenon_intro zenon_Hbe ]. % 11.54/11.68 exact (zenon_H26b zenon_H72). % 11.54/11.68 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H7a | zenon_intro zenon_Hbf ]. % 11.54/11.68 apply (zenon_L36_); trivial. % 11.54/11.68 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H96 | zenon_intro zenon_H9d ]. % 11.54/11.68 apply (zenon_L645_); trivial. % 11.54/11.68 exact (zenon_H9e zenon_H9d). % 11.54/11.68 apply (zenon_L670_); trivial. % 11.54/11.68 (* end of lemma zenon_L1014_ *) % 11.54/11.68 assert (zenon_L1015_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e3) (e3)) = (e3))) -> (~((e0) = (e3))) -> ((op (e3) (e2)) = (e0)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e0)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> False). % 11.54/11.68 do 0 intro. intros zenon_Hb9 zenon_H26b zenon_H8b zenon_H233 zenon_H34 zenon_Hf7 zenon_Hf0 zenon_H47 zenon_H13a zenon_H16a zenon_H15d zenon_H1e2 zenon_H25 zenon_H1df zenon_H242 zenon_Hc5 zenon_Hc4 zenon_H95 zenon_H18a zenon_H226 zenon_H251 zenon_H9e. % 11.54/11.68 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H72 | zenon_intro zenon_Hbe ]. % 11.54/11.68 exact (zenon_H26b zenon_H72). % 11.54/11.68 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H7a | zenon_intro zenon_Hbf ]. % 11.54/11.68 apply (zenon_L36_); trivial. % 11.54/11.68 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H96 | zenon_intro zenon_H9d ]. % 11.54/11.68 apply (zenon_L1000_); trivial. % 11.54/11.68 exact (zenon_H9e zenon_H9d). % 11.54/11.68 (* end of lemma zenon_L1015_ *) % 11.54/11.68 assert (zenon_L1016_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e3) (e0)) = (e2)) -> (~((e2) = (e3))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((e1) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e2)) = (e0)) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e1)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e1)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e3)) = (e0))) -> False). % 11.54/11.68 do 0 intro. intros zenon_H122 zenon_H9a zenon_H41 zenon_H1cb zenon_H3c zenon_He5 zenon_He3 zenon_H30 zenon_H1f0 zenon_H228 zenon_He0 zenon_H6d zenon_H212 zenon_Hf6 zenon_H1f3 zenon_H222 zenon_H167 zenon_Hcb zenon_He2 zenon_H148 zenon_H251 zenon_H226 zenon_H18a zenon_H95 zenon_Hc4 zenon_Hc5 zenon_H242 zenon_H1df zenon_H25 zenon_H1e2 zenon_H15d zenon_H16a zenon_H13a zenon_H47 zenon_Hf0 zenon_H34 zenon_H233 zenon_H8b zenon_H26b zenon_Hb9 zenon_H9e. % 11.54/11.68 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H123 ]. % 11.54/11.68 apply (zenon_L712_); trivial. % 11.54/11.68 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H120 | zenon_intro zenon_H124 ]. % 11.54/11.68 apply (zenon_L1014_); trivial. % 11.54/11.68 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H9d ]. % 11.54/11.68 apply (zenon_L1015_); trivial. % 11.54/11.68 exact (zenon_H9e zenon_H9d). % 11.54/11.68 (* end of lemma zenon_L1016_ *) % 11.54/11.68 assert (zenon_L1017_ : (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> ((op (e1) (e3)) = (e3)) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((e1) = (e3))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e2)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e1)) -> ((op (e2) (e3)) = (e0)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e3) (e3)) = (e0))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> False). % 11.54/11.68 do 0 intro. intros zenon_Hfb zenon_H1b8 zenon_Hb9 zenon_H26b zenon_H8b zenon_H148 zenon_He2 zenon_Hcb zenon_H167 zenon_H222 zenon_H1f3 zenon_Hf6 zenon_H212 zenon_H6d zenon_H228 zenon_H1f0 zenon_H30 zenon_He3 zenon_He5 zenon_H3c zenon_H1cb zenon_H41 zenon_H9a zenon_H122 zenon_Hcf zenon_H251 zenon_H226 zenon_H18a zenon_H95 zenon_Hc4 zenon_Hc5 zenon_H96 zenon_H242 zenon_H1df zenon_H25 zenon_H1e2 zenon_H15d zenon_H16a zenon_H13a zenon_H47 zenon_H9e zenon_Hf0 zenon_H34 zenon_H233. % 11.54/11.68 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hd0 | zenon_intro zenon_Hfe ]. % 11.54/11.68 apply (zenon_L221_); trivial. % 11.54/11.68 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_He0 | zenon_intro zenon_Hff ]. % 11.54/11.68 apply (zenon_L1016_); trivial. % 11.54/11.68 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Hce | zenon_intro zenon_Hf7 ]. % 11.54/11.68 exact (zenon_Hcf zenon_Hce). % 11.54/11.68 apply (zenon_L1000_); trivial. % 11.54/11.68 (* end of lemma zenon_L1017_ *) % 11.54/11.68 assert (zenon_L1018_ : (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e1)) -> ((op (e2) (e3)) = (e0)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e1)) = (e3)) -> ((op (e3) (e2)) = (e2)) -> (~((e2) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> False). % 11.54/11.68 do 0 intro. intros zenon_H251 zenon_H226 zenon_H18a zenon_H95 zenon_Hc4 zenon_Hc5 zenon_H96 zenon_H242 zenon_H1cb zenon_H145 zenon_Hae zenon_H41 zenon_H233. % 11.54/11.68 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H15e | zenon_intro zenon_H253 ]. % 11.54/11.68 apply (zenon_L657_); trivial. % 11.54/11.68 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ]. % 11.54/11.68 apply (zenon_L643_); trivial. % 11.54/11.68 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_Hec | zenon_intro zenon_Hed ]. % 11.54/11.68 apply (zenon_L271_); trivial. % 11.54/11.68 exact (zenon_H233 zenon_Hed). % 11.54/11.68 (* end of lemma zenon_L1018_ *) % 11.54/11.68 assert (zenon_L1019_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e0)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e1) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e3)) = (e3))) -> (~((e2) = (e3))) -> ((op (e2) (e1)) = (e3)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> ((op (e2) (e3)) = (e0)) -> ((op (e2) (e1)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> False). % 11.54/11.68 do 0 intro. intros zenon_Hb0 zenon_H34 zenon_Hf0 zenon_H9e zenon_H47 zenon_H13a zenon_H16a zenon_H15d zenon_H1e2 zenon_H25 zenon_H1df zenon_Hcf zenon_H122 zenon_H3c zenon_He5 zenon_H30 zenon_H1f0 zenon_H228 zenon_H6d zenon_H212 zenon_Hf6 zenon_H1f3 zenon_H167 zenon_Hcb zenon_He2 zenon_H148 zenon_H8b zenon_H26b zenon_Hb9 zenon_H1b8 zenon_Hfb zenon_H2c zenon_H222 zenon_H233 zenon_H41 zenon_H145 zenon_H1cb zenon_H242 zenon_H96 zenon_Hc5 zenon_Hc4 zenon_H95 zenon_H226 zenon_H251 zenon_He3 zenon_H18a. % 11.54/11.68 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H9a | zenon_intro zenon_Hb2 ]. % 11.54/11.68 apply (zenon_L1017_); trivial. % 11.54/11.68 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Hb3 ]. % 11.54/11.68 apply (zenon_L355_); trivial. % 11.54/11.68 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_Hae | zenon_intro zenon_Hb4 ]. % 11.54/11.68 apply (zenon_L1018_); trivial. % 11.54/11.68 apply (zenon_L188_); trivial. % 11.54/11.68 (* end of lemma zenon_L1019_ *) % 11.54/11.68 assert (zenon_L1020_ : (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e1)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e1)) = (e3)) -> (~((e2) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> ((op (e1) (e3)) = (e3)) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e1)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e0))) -> False). % 11.54/11.69 do 0 intro. intros zenon_H236 zenon_H18a zenon_He3 zenon_H251 zenon_H226 zenon_H95 zenon_Hc4 zenon_Hc5 zenon_H242 zenon_H1cb zenon_H145 zenon_H41 zenon_H233 zenon_H222 zenon_H2c zenon_Hfb zenon_H1b8 zenon_Hb9 zenon_H26b zenon_H8b zenon_H148 zenon_He2 zenon_Hcb zenon_H167 zenon_H1f3 zenon_Hf6 zenon_H212 zenon_H6d zenon_H228 zenon_H1f0 zenon_H30 zenon_He5 zenon_H3c zenon_H122 zenon_Hcf zenon_H1df zenon_H25 zenon_H1e2 zenon_H15d zenon_H16a zenon_H13a zenon_H47 zenon_Hf0 zenon_H34 zenon_Hb0 zenon_H9e. % 11.54/11.69 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H72 | zenon_intro zenon_Hbe ]. % 11.54/11.69 exact (zenon_H26b zenon_H72). % 11.54/11.69 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H7a | zenon_intro zenon_Hbf ]. % 11.54/11.69 apply (zenon_L674_); trivial. % 11.54/11.69 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H96 | zenon_intro zenon_H9d ]. % 11.54/11.69 apply (zenon_L1019_); trivial. % 11.54/11.69 exact (zenon_H9e zenon_H9d). % 11.54/11.69 (* end of lemma zenon_L1020_ *) % 11.54/11.69 assert (zenon_L1021_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((e0) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e1)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> False). % 11.54/11.69 do 0 intro. intros zenon_H122 zenon_He3 zenon_H18a zenon_H34 zenon_H233 zenon_H1df zenon_H25 zenon_H1e2 zenon_H15d zenon_H147 zenon_H16a zenon_H13a zenon_H47 zenon_Hf0 zenon_H9e. % 11.54/11.69 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H123 ]. % 11.54/11.69 apply (zenon_L712_); trivial. % 11.54/11.69 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H120 | zenon_intro zenon_H124 ]. % 11.54/11.69 apply (zenon_L670_); trivial. % 11.54/11.69 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H9d ]. % 11.54/11.69 apply (zenon_L999_); trivial. % 11.54/11.69 exact (zenon_H9e zenon_H9d). % 11.54/11.69 (* end of lemma zenon_L1021_ *) % 11.54/11.69 assert (zenon_L1022_ : (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> ((op (e1) (e2)) = (e0)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (e0))) -> (~((e1) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((e2) = (e3))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((e0) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e1)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> False). % 11.54/11.69 do 0 intro. intros zenon_H1ca zenon_H105 zenon_He0 zenon_Hb0 zenon_Hcf zenon_H3c zenon_He5 zenon_H30 zenon_H1f0 zenon_H228 zenon_H6d zenon_H212 zenon_Hf6 zenon_H1f3 zenon_H167 zenon_Hcb zenon_He2 zenon_H148 zenon_H8b zenon_H26b zenon_Hb9 zenon_H1b8 zenon_Hfb zenon_H2c zenon_H222 zenon_H41 zenon_H1cb zenon_H242 zenon_Hc5 zenon_Hc4 zenon_H95 zenon_H226 zenon_H251 zenon_H236 zenon_H122 zenon_He3 zenon_H18a zenon_H34 zenon_H233 zenon_H1df zenon_H25 zenon_H1e2 zenon_H15d zenon_H16a zenon_H13a zenon_H47 zenon_Hf0 zenon_H9e. % 11.54/11.69 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H39 | zenon_intro zenon_H149 ]. % 11.54/11.69 apply (zenon_L1004_); trivial. % 11.54/11.69 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H78 | zenon_intro zenon_H14a ]. % 11.54/11.69 apply (zenon_L1009_); trivial. % 11.54/11.69 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H145 | zenon_intro zenon_H147 ]. % 11.54/11.69 apply (zenon_L1020_); trivial. % 11.54/11.69 apply (zenon_L1021_); trivial. % 11.54/11.69 (* end of lemma zenon_L1022_ *) % 11.54/11.69 assert (zenon_L1023_ : (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e0)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e1) (e2)) = (e0)) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e3)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e3))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> False). % 11.54/11.69 do 0 intro. intros zenon_H71 zenon_H13a zenon_H16a zenon_H15d zenon_H1e2 zenon_H25 zenon_H1df zenon_H122 zenon_H251 zenon_H226 zenon_H95 zenon_Hc4 zenon_H242 zenon_H1cb zenon_H222 zenon_H2c zenon_Hfb zenon_H1b8 zenon_H148 zenon_He2 zenon_Hcb zenon_H167 zenon_H1f3 zenon_Hf6 zenon_H212 zenon_H6d zenon_H228 zenon_H1f0 zenon_H30 zenon_Hcf zenon_Hb0 zenon_He0 zenon_H105 zenon_H1ca zenon_H13f zenon_H3b zenon_H8d zenon_Hb9 zenon_H26b zenon_H41 zenon_H34 zenon_H47 zenon_H3c zenon_H236 zenon_H233 zenon_He3 zenon_H18a zenon_He5 zenon_Hf0 zenon_H9e. % 11.54/11.69 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H1f | zenon_intro zenon_H107 ]. % 11.54/11.69 apply (zenon_L199_); trivial. % 11.54/11.69 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H56 | zenon_intro zenon_H108 ]. % 11.54/11.69 apply (zenon_L459_); trivial. % 11.54/11.69 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hc5 | zenon_intro zenon_He6 ]. % 11.54/11.69 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H75 | zenon_intro zenon_H8e ]. % 11.54/11.69 apply (zenon_L123_); trivial. % 11.54/11.69 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H78 | zenon_intro zenon_H8f ]. % 11.54/11.69 apply (zenon_L1009_); trivial. % 11.54/11.69 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H8b ]. % 11.54/11.69 apply (zenon_L119_); trivial. % 11.54/11.69 apply (zenon_L1022_); trivial. % 11.54/11.69 apply (zenon_L1002_); trivial. % 11.54/11.69 (* end of lemma zenon_L1023_ *) % 11.54/11.69 assert (zenon_L1024_ : (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e2)) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e3)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e3))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> False). % 11.54/11.69 do 0 intro. intros zenon_H251 zenon_H226 zenon_H95 zenon_Hc4 zenon_H242 zenon_H1df zenon_H25 zenon_H1e2 zenon_H15d zenon_H16a zenon_H13a zenon_Hcf zenon_H71 zenon_H122 zenon_H1cb zenon_H222 zenon_H2c zenon_Hfb zenon_H1b8 zenon_H148 zenon_He2 zenon_Hcb zenon_H167 zenon_H1f3 zenon_Hf6 zenon_H212 zenon_H6d zenon_H228 zenon_H1f0 zenon_H30 zenon_Hb0 zenon_H105 zenon_H1ca zenon_H13f zenon_H3b zenon_H8d zenon_Hb9 zenon_H26b zenon_H41 zenon_H34 zenon_H47 zenon_H3c zenon_H236 zenon_H233 zenon_He3 zenon_H18a zenon_He5 zenon_Hf0 zenon_H9e. % 11.54/11.69 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H1f | zenon_intro zenon_H107 ]. % 11.54/11.69 apply (zenon_L211_); trivial. % 11.54/11.69 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H56 | zenon_intro zenon_H108 ]. % 11.54/11.69 apply (zenon_L459_); trivial. % 11.54/11.69 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hc5 | zenon_intro zenon_He6 ]. % 11.54/11.69 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hd0 | zenon_intro zenon_Hfe ]. % 11.54/11.69 apply (zenon_L221_); trivial. % 11.54/11.69 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_He0 | zenon_intro zenon_Hff ]. % 11.54/11.69 apply (zenon_L1023_); trivial. % 11.54/11.69 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Hce | zenon_intro zenon_Hf7 ]. % 11.54/11.69 exact (zenon_Hcf zenon_Hce). % 11.54/11.69 apply (zenon_L1001_); trivial. % 11.54/11.69 apply (zenon_L1002_); trivial. % 11.54/11.69 (* end of lemma zenon_L1024_ *) % 11.54/11.69 assert (zenon_L1025_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e0)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e3))) -> False). % 11.54/11.69 do 0 intro. intros zenon_H44 zenon_H9e zenon_Hf0 zenon_He5 zenon_H18a zenon_He3 zenon_H233 zenon_H236 zenon_H34 zenon_H41 zenon_H26b zenon_Hb9 zenon_H8d zenon_H13f zenon_H1ca zenon_H105 zenon_Hb0 zenon_H30 zenon_H1f0 zenon_H228 zenon_H6d zenon_H212 zenon_Hf6 zenon_H1f3 zenon_H167 zenon_Hcb zenon_He2 zenon_H148 zenon_H1b8 zenon_Hfb zenon_H2c zenon_H222 zenon_H1cb zenon_H122 zenon_H71 zenon_Hcf zenon_H13a zenon_H16a zenon_H15d zenon_H1e2 zenon_H25 zenon_H1df zenon_H242 zenon_Hc4 zenon_H95 zenon_H226 zenon_H251 zenon_H47 zenon_H3c. % 11.54/11.69 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.54/11.69 apply (zenon_L7_); trivial. % 11.54/11.69 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.54/11.69 apply (zenon_L1004_); trivial. % 11.54/11.69 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.54/11.69 apply (zenon_L1024_); trivial. % 11.54/11.69 apply (zenon_L14_); trivial. % 11.54/11.69 (* end of lemma zenon_L1025_ *) % 11.54/11.69 assert (zenon_L1026_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e3)) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e2)) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e3))) -> False). % 11.54/11.69 do 0 intro. intros zenon_H44 zenon_H34 zenon_H25 zenon_H222 zenon_H147 zenon_H41 zenon_H2f zenon_H47 zenon_H3c. % 11.54/11.69 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.54/11.69 apply (zenon_L7_); trivial. % 11.54/11.69 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.54/11.69 apply (zenon_L714_); trivial. % 11.54/11.69 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.54/11.69 apply (zenon_L13_); trivial. % 11.54/11.69 apply (zenon_L14_); trivial. % 11.54/11.69 (* end of lemma zenon_L1026_ *) % 11.54/11.69 assert (zenon_L1027_ : (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e1)) -> ((op (e2) (e3)) = (e0)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e3)) = (e1)) -> ((op (e0) (e2)) = (e2)) -> (~((e2) = (e3))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e0)) = (e0)) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e3)) -> (~((op (e3) (e3)) = (e3))) -> False). % 11.54/11.69 do 0 intro. intros zenon_H251 zenon_H226 zenon_H18a zenon_H95 zenon_Hc4 zenon_Hc5 zenon_H96 zenon_H242 zenon_H3c zenon_H47 zenon_H2f zenon_H41 zenon_H222 zenon_H25 zenon_H34 zenon_H44 zenon_H125 zenon_H89 zenon_H233. % 11.54/11.69 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H15e | zenon_intro zenon_H253 ]. % 11.54/11.69 apply (zenon_L657_); trivial. % 11.54/11.69 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ]. % 11.54/11.69 apply (zenon_L1026_); trivial. % 11.54/11.69 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_Hec | zenon_intro zenon_Hed ]. % 11.54/11.69 apply (zenon_L101_); trivial. % 11.54/11.69 exact (zenon_H233 zenon_Hed). % 11.54/11.69 (* end of lemma zenon_L1027_ *) % 11.54/11.69 assert (zenon_L1028_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e2)) = (e0)) -> (~((op (e3) (e3)) = (e3))) -> ((op (e1) (e2)) = (e3)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e2)) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> False). % 11.54/11.69 do 0 intro. intros zenon_Hb9 zenon_H26b zenon_H228 zenon_He0 zenon_H233 zenon_H89 zenon_H125 zenon_H44 zenon_H34 zenon_H25 zenon_H222 zenon_H41 zenon_H2f zenon_H47 zenon_H3c zenon_H242 zenon_Hc5 zenon_Hc4 zenon_H95 zenon_H18a zenon_H226 zenon_H251 zenon_H9e. % 11.54/11.69 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H72 | zenon_intro zenon_Hbe ]. % 11.54/11.69 exact (zenon_H26b zenon_H72). % 11.54/11.69 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H7a | zenon_intro zenon_Hbf ]. % 11.54/11.69 apply (zenon_L364_); trivial. % 11.54/11.69 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H96 | zenon_intro zenon_H9d ]. % 11.54/11.69 apply (zenon_L1027_); trivial. % 11.54/11.69 exact (zenon_H9e zenon_H9d). % 11.54/11.69 (* end of lemma zenon_L1028_ *) % 11.54/11.69 assert (zenon_L1029_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> ((op (e0) (e3)) = (e1)) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> ((op (e3) (e1)) = (e0)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e0)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((e1) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e0))) -> False). % 11.54/11.69 do 0 intro. intros zenon_Hb9 zenon_H26b zenon_H41 zenon_H34 zenon_H47 zenon_H236 zenon_Hf6 zenon_Hec zenon_H120 zenon_H212 zenon_H6d zenon_H1e2 zenon_H25 zenon_H1df zenon_H3c zenon_Hf0 zenon_He5 zenon_H18a zenon_He3 zenon_H233 zenon_H1f0 zenon_H9e. % 11.54/11.69 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H72 | zenon_intro zenon_Hbe ]. % 11.54/11.69 exact (zenon_H26b zenon_H72). % 11.54/11.69 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H7a | zenon_intro zenon_Hbf ]. % 11.54/11.69 apply (zenon_L674_); trivial. % 11.54/11.69 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H96 | zenon_intro zenon_H9d ]. % 11.54/11.69 apply (zenon_L994_); trivial. % 11.54/11.69 exact (zenon_H9e zenon_H9d). % 11.54/11.69 (* end of lemma zenon_L1029_ *) % 11.54/11.69 assert (zenon_L1030_ : (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e1)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e0)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e1)) -> (~((e2) = (e3))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e3) (e3)) = (e0))) -> False). % 11.54/11.69 do 0 intro. intros zenon_Hf3 zenon_H251 zenon_H226 zenon_H95 zenon_Hc4 zenon_Hc5 zenon_H242 zenon_H2f zenon_H222 zenon_H44 zenon_H125 zenon_He0 zenon_H228 zenon_He2 zenon_H122 zenon_H1f0 zenon_H233 zenon_He3 zenon_H18a zenon_He5 zenon_Hf0 zenon_H3c zenon_H1df zenon_H25 zenon_H1e2 zenon_H6d zenon_H212 zenon_Hf6 zenon_H236 zenon_H47 zenon_H41 zenon_H26b zenon_Hb9 zenon_H34 zenon_H9e. % 11.54/11.69 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H3b | zenon_intro zenon_Hf4 ]. % 11.54/11.69 apply (zenon_L13_); trivial. % 11.54/11.69 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H89 | zenon_intro zenon_Hf5 ]. % 11.54/11.69 apply (zenon_L1028_); trivial. % 11.54/11.69 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_He1 | zenon_intro zenon_Hec ]. % 11.54/11.69 exact (zenon_He2 zenon_He1). % 11.54/11.69 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H123 ]. % 11.54/11.69 apply (zenon_L261_); trivial. % 11.54/11.69 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H120 | zenon_intro zenon_H124 ]. % 11.54/11.69 apply (zenon_L1029_); trivial. % 11.54/11.69 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H9d ]. % 11.54/11.69 apply (zenon_L89_); trivial. % 11.54/11.69 exact (zenon_H9e zenon_H9d). % 11.54/11.69 (* end of lemma zenon_L1030_ *) % 11.54/11.69 assert (zenon_L1031_ : (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e2)) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> ((op (e2) (e3)) = (e0)) -> ((op (e2) (e1)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((e0) = (e3))) -> ((op (e3) (e2)) = (e0)) -> False). % 11.54/11.69 do 0 intro. intros zenon_Hf3 zenon_H233 zenon_H125 zenon_H44 zenon_H25 zenon_H222 zenon_H41 zenon_H2f zenon_H47 zenon_H3c zenon_H242 zenon_H96 zenon_Hc5 zenon_Hc4 zenon_H95 zenon_H18a zenon_H226 zenon_H251 zenon_He2 zenon_H34 zenon_Hf7. % 11.54/11.69 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H3b | zenon_intro zenon_Hf4 ]. % 11.54/11.69 apply (zenon_L13_); trivial. % 11.54/11.69 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H89 | zenon_intro zenon_Hf5 ]. % 11.54/11.69 apply (zenon_L1027_); trivial. % 11.54/11.69 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_He1 | zenon_intro zenon_Hec ]. % 11.54/11.69 exact (zenon_He2 zenon_He1). % 11.54/11.69 apply (zenon_L89_); trivial. % 11.54/11.69 (* end of lemma zenon_L1031_ *) % 11.54/11.69 assert (zenon_L1032_ : (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e0) = (e2))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e2)) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> ((op (e2) (e3)) = (e0)) -> ((op (e2) (e1)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((e0) = (e3))) -> False). % 11.54/11.69 do 0 intro. intros zenon_Hfb zenon_H27 zenon_H9e zenon_Hb9 zenon_H26b zenon_H236 zenon_Hf6 zenon_H212 zenon_H6d zenon_H1e2 zenon_H1df zenon_Hf0 zenon_He5 zenon_He3 zenon_H1f0 zenon_H122 zenon_H228 zenon_Hcf zenon_Hf3 zenon_H233 zenon_H125 zenon_H44 zenon_H25 zenon_H222 zenon_H41 zenon_H2f zenon_H47 zenon_H3c zenon_H242 zenon_H96 zenon_Hc5 zenon_Hc4 zenon_H95 zenon_H18a zenon_H226 zenon_H251 zenon_He2 zenon_H34. % 11.54/11.69 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hd0 | zenon_intro zenon_Hfe ]. % 11.54/11.69 apply (zenon_L57_); trivial. % 11.54/11.69 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_He0 | zenon_intro zenon_Hff ]. % 11.54/11.69 apply (zenon_L1030_); trivial. % 11.54/11.69 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Hce | zenon_intro zenon_Hf7 ]. % 11.54/11.69 exact (zenon_Hcf zenon_Hce). % 11.54/11.69 apply (zenon_L1031_); trivial. % 11.54/11.69 (* end of lemma zenon_L1032_ *) % 11.54/11.69 assert (zenon_L1033_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e0) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e2)) = (e2)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e3))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> False). % 11.54/11.69 do 0 intro. intros zenon_H105 zenon_H71 zenon_H1ca zenon_Hfb zenon_H27 zenon_Hf6 zenon_H212 zenon_H6d zenon_H1e2 zenon_H1df zenon_H1f0 zenon_H122 zenon_H228 zenon_Hcf zenon_Hf3 zenon_H125 zenon_H44 zenon_H25 zenon_H222 zenon_H2f zenon_H242 zenon_Hc4 zenon_H95 zenon_H226 zenon_H251 zenon_He2 zenon_Hb9 zenon_H26b zenon_H41 zenon_H34 zenon_H47 zenon_H3c zenon_H236 zenon_H233 zenon_He3 zenon_H18a zenon_He5 zenon_Hf0 zenon_H9e. % 11.54/11.69 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H1f | zenon_intro zenon_H107 ]. % 11.54/11.69 apply (zenon_L199_); trivial. % 11.54/11.69 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H56 | zenon_intro zenon_H108 ]. % 11.54/11.69 apply (zenon_L459_); trivial. % 11.54/11.69 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hc5 | zenon_intro zenon_He6 ]. % 11.54/11.69 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H72 | zenon_intro zenon_Hbe ]. % 11.54/11.69 exact (zenon_H26b zenon_H72). % 11.54/11.69 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H7a | zenon_intro zenon_Hbf ]. % 11.54/11.69 apply (zenon_L674_); trivial. % 11.54/11.69 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H96 | zenon_intro zenon_H9d ]. % 11.54/11.69 apply (zenon_L1032_); trivial. % 11.54/11.69 exact (zenon_H9e zenon_H9d). % 11.54/11.69 apply (zenon_L1002_); trivial. % 11.54/11.69 (* end of lemma zenon_L1033_ *) % 11.54/11.69 assert (zenon_L1034_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (e1))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e0)) = (e0)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e2))) -> False). % 11.54/11.69 do 0 intro. intros zenon_H4c zenon_H20 zenon_H16e zenon_H161 zenon_H11b zenon_Hfa zenon_H1aa zenon_H16c zenon_H154 zenon_H91 zenon_H117 zenon_H61 zenon_H192 zenon_H65 zenon_H19c zenon_H49 zenon_H15d zenon_H16a zenon_H13a zenon_H1cb zenon_H1b8 zenon_H148 zenon_Hcb zenon_H167 zenon_H1f3 zenon_Hb0 zenon_H13f zenon_H8d zenon_H9e zenon_Hf0 zenon_He5 zenon_H18a zenon_He3 zenon_H233 zenon_H236 zenon_H3c zenon_H34 zenon_H41 zenon_H26b zenon_Hb9 zenon_He2 zenon_H251 zenon_H226 zenon_H95 zenon_Hc4 zenon_H242 zenon_H222 zenon_H25 zenon_H44 zenon_H125 zenon_Hf3 zenon_Hcf zenon_H228 zenon_H122 zenon_H1f0 zenon_H1df zenon_H1e2 zenon_H6d zenon_H212 zenon_Hf6 zenon_H27 zenon_Hfb zenon_H1ca zenon_H71 zenon_H105 zenon_H30. % 11.54/11.69 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.54/11.69 apply (zenon_L129_); trivial. % 11.54/11.69 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.54/11.69 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.54/11.69 apply (zenon_L3_); trivial. % 11.54/11.69 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.54/11.69 apply (zenon_L211_); trivial. % 11.54/11.69 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.54/11.69 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.54/11.69 apply (zenon_L7_); trivial. % 11.54/11.69 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.54/11.69 apply (zenon_L130_); trivial. % 11.54/11.69 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.54/11.69 apply (zenon_L13_); trivial. % 11.54/11.69 apply (zenon_L984_); trivial. % 11.54/11.69 apply (zenon_L213_); trivial. % 11.54/11.69 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.54/11.69 apply (zenon_L673_); trivial. % 11.54/11.69 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.54/11.69 apply (zenon_L3_); trivial. % 11.54/11.69 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.54/11.69 apply (zenon_L1025_); trivial. % 11.54/11.69 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.54/11.69 apply (zenon_L1033_); trivial. % 11.54/11.69 apply (zenon_L15_); trivial. % 11.54/11.69 (* end of lemma zenon_L1034_ *) % 11.54/11.69 assert (zenon_L1035_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e2))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> False). % 11.54/11.69 do 0 intro. intros zenon_H105 zenon_H30 zenon_H2c zenon_H1ca zenon_Hfa zenon_H25 zenon_H1aa zenon_H226 zenon_H15e zenon_H95 zenon_H16c zenon_H6d zenon_Hc4 zenon_H242 zenon_Hcf zenon_Hf0 zenon_He5 zenon_H18a zenon_He3 zenon_H233. % 11.54/11.69 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H1f | zenon_intro zenon_H107 ]. % 11.54/11.69 apply (zenon_L211_); trivial. % 11.54/11.69 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H56 | zenon_intro zenon_H108 ]. % 11.54/11.69 apply (zenon_L459_); trivial. % 11.54/11.69 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hc5 | zenon_intro zenon_He6 ]. % 11.54/11.69 apply (zenon_L658_); trivial. % 11.54/11.69 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H6e | zenon_intro zenon_Hfc ]. % 11.54/11.69 apply (zenon_L624_); trivial. % 11.54/11.69 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hfd ]. % 11.54/11.69 apply (zenon_L656_); trivial. % 11.54/11.69 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hce | zenon_intro zenon_H96 ]. % 11.54/11.69 exact (zenon_Hcf zenon_Hce). % 11.54/11.69 apply (zenon_L642_); trivial. % 11.54/11.69 (* end of lemma zenon_L1035_ *) % 11.54/11.69 assert (zenon_L1036_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e0)) = (e0)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e2))) -> ((op (e0) (e2)) = (e1)) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False). % 11.54/11.69 do 0 intro. intros zenon_H49 zenon_H27 zenon_H233 zenon_He3 zenon_He5 zenon_Hf0 zenon_Hcf zenon_H242 zenon_Hc4 zenon_H6d zenon_H16c zenon_H95 zenon_H15e zenon_H226 zenon_H1aa zenon_H25 zenon_Hfa zenon_H1ca zenon_H105 zenon_H30 zenon_H2e zenon_H18a zenon_H16e. % 11.54/11.69 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.54/11.69 apply (zenon_L3_); trivial. % 11.54/11.69 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.54/11.69 apply (zenon_L1035_); trivial. % 11.54/11.69 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.54/11.69 apply (zenon_L6_); trivial. % 11.54/11.69 apply (zenon_L213_); trivial. % 11.54/11.69 (* end of lemma zenon_L1036_ *) % 11.54/11.69 assert (zenon_L1037_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e2)) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e3))) -> False). % 11.54/11.69 do 0 intro. intros zenon_H44 zenon_H1e2 zenon_H18a zenon_He2 zenon_Hcb zenon_H15e zenon_H226 zenon_H167 zenon_H41 zenon_H2f zenon_H47 zenon_H3c. % 11.54/11.69 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.54/11.69 apply (zenon_L478_); trivial. % 11.54/11.69 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.54/11.69 apply (zenon_L992_); trivial. % 11.54/11.69 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.54/11.69 apply (zenon_L13_); trivial. % 11.54/11.69 apply (zenon_L14_); trivial. % 11.54/11.69 (* end of lemma zenon_L1037_ *) % 11.54/11.69 assert (zenon_L1038_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e0)) = (e0)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((e1) = (e2))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e0) (e3)) = (e1)) -> (~((e2) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False). % 11.54/11.69 do 0 intro. intros zenon_H49 zenon_H27 zenon_H233 zenon_He3 zenon_He5 zenon_Hf0 zenon_Hcf zenon_H242 zenon_Hc4 zenon_H6d zenon_H16c zenon_H95 zenon_H1aa zenon_H25 zenon_Hfa zenon_H1ca zenon_H30 zenon_H105 zenon_H3c zenon_H47 zenon_H41 zenon_H167 zenon_H226 zenon_H15e zenon_Hcb zenon_He2 zenon_H1e2 zenon_H44 zenon_H18a zenon_H16e. % 11.54/11.69 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.54/11.69 apply (zenon_L3_); trivial. % 11.54/11.69 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.54/11.69 apply (zenon_L1035_); trivial. % 11.54/11.69 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.54/11.69 apply (zenon_L1037_); trivial. % 11.54/11.69 apply (zenon_L213_); trivial. % 11.54/11.69 (* end of lemma zenon_L1038_ *) % 11.54/11.69 assert (zenon_L1039_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((e0) = (e3))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (e1))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e0)) = (e0)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((e1) = (e2))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False). % 11.54/11.69 do 0 intro. intros zenon_H4c zenon_H20 zenon_H34 zenon_H154 zenon_H91 zenon_H117 zenon_H61 zenon_H49 zenon_H27 zenon_H233 zenon_He3 zenon_He5 zenon_Hf0 zenon_Hcf zenon_H242 zenon_Hc4 zenon_H6d zenon_H16c zenon_H95 zenon_H1aa zenon_H25 zenon_Hfa zenon_H1ca zenon_H30 zenon_H105 zenon_H3c zenon_H41 zenon_H167 zenon_H226 zenon_H15e zenon_Hcb zenon_He2 zenon_H1e2 zenon_H44 zenon_H18a zenon_H16e. % 11.54/11.69 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.54/11.69 apply (zenon_L129_); trivial. % 11.54/11.69 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.54/11.69 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.54/11.69 apply (zenon_L3_); trivial. % 11.54/11.69 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.54/11.69 apply (zenon_L1035_); trivial. % 11.54/11.69 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.54/11.69 apply (zenon_L983_); trivial. % 11.54/11.69 apply (zenon_L213_); trivial. % 11.54/11.69 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.54/11.69 apply (zenon_L1036_); trivial. % 11.54/11.69 apply (zenon_L1038_); trivial. % 11.54/11.69 (* end of lemma zenon_L1039_ *) % 11.54/11.69 assert (zenon_L1040_ : ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (e0))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> ((op (e1) (e0)) = (e1)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (e1))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e3)) = (e2)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e0) (e0)) = (e0)) -> (~((e0) = (e1))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> False). % 11.54/11.69 do 0 intro. intros zenon_H1fb zenon_H4c zenon_H71 zenon_H8d zenon_H148 zenon_H1cb zenon_Hb0 zenon_H13f zenon_H1f3 zenon_H1ca zenon_Hfb zenon_H122 zenon_H236 zenon_H13a zenon_H16a zenon_H15d zenon_H26b zenon_H228 zenon_H251 zenon_H212 zenon_Hf0 zenon_H233 zenon_He5 zenon_He3 zenon_H1df zenon_Hf6 zenon_H1f0 zenon_H222 zenon_H167 zenon_Hb9 zenon_H1e2 zenon_H105 zenon_H1b8 zenon_H125 zenon_Hf3 zenon_H65 zenon_H192 zenon_He2 zenon_H19c zenon_H27 zenon_H30 zenon_H6d zenon_Hfa zenon_H117 zenon_H91 zenon_H61 zenon_H154 zenon_H16c zenon_Hcb zenon_H18a zenon_H11b zenon_H1aa zenon_H44 zenon_H242 zenon_H226 zenon_H95 zenon_Hc4 zenon_H161 zenon_H41 zenon_H3c zenon_H34 zenon_H16e zenon_H49 zenon_H25 zenon_H20 zenon_H1fa. % 11.54/11.69 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_Hcf | zenon_intro zenon_Hb5 ]. % 11.54/11.69 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H9e | zenon_intro zenon_H15e ]. % 11.54/11.69 apply (zenon_L1034_); trivial. % 11.54/11.69 apply (zenon_L1039_); trivial. % 11.54/11.69 apply (zenon_L334_); trivial. % 11.54/11.69 (* end of lemma zenon_L1040_ *) % 11.54/11.69 assert (zenon_L1041_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((e0) = (e1))) -> ((op (e0) (e0)) = (e0)) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (e1))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (e0))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e3) (e0)) = (e3)) -> False). % 11.54/11.69 do 0 intro. intros zenon_Hb7 zenon_H1fa zenon_H20 zenon_H25 zenon_H49 zenon_H16e zenon_H34 zenon_H41 zenon_H161 zenon_Hc4 zenon_H95 zenon_H226 zenon_H242 zenon_H44 zenon_H1aa zenon_H11b zenon_Hcb zenon_H16c zenon_H154 zenon_H61 zenon_H91 zenon_H117 zenon_Hfa zenon_H30 zenon_H27 zenon_H65 zenon_Hf3 zenon_H125 zenon_H1b8 zenon_H105 zenon_H1e2 zenon_Hb9 zenon_H167 zenon_H222 zenon_H1f0 zenon_Hf6 zenon_H1df zenon_He3 zenon_He5 zenon_H233 zenon_Hf0 zenon_H212 zenon_H251 zenon_H228 zenon_H26b zenon_H15d zenon_H16a zenon_H13a zenon_H236 zenon_H122 zenon_Hfb zenon_H1ca zenon_H1f3 zenon_H13f zenon_Hb0 zenon_H1cb zenon_H148 zenon_H8d zenon_H71 zenon_H4c zenon_H1fb zenon_He2 zenon_H192 zenon_H18a zenon_Hc0 zenon_Hcf zenon_H19c zenon_H3c zenon_H15e. % 11.54/11.69 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ]. % 11.54/11.69 apply (zenon_L129_); trivial. % 11.54/11.69 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ]. % 11.54/11.69 apply (zenon_L1040_); trivial. % 11.54/11.69 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ]. % 11.54/11.69 apply (zenon_L641_); trivial. % 11.54/11.69 apply (zenon_L196_); trivial. % 11.54/11.69 (* end of lemma zenon_L1041_ *) % 11.54/11.69 assert (zenon_L1042_ : (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e0) (e2)) = (e1)) -> ((op (e1) (e0)) = (e3)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (~((e0) = (e3))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e1)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e0)) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((e1) = (e3))) -> (~((op (e3) (e3)) = (e1))) -> False). % 11.54/11.69 do 0 intro. intros zenon_Hf3 zenon_H2e zenon_H75 zenon_H10e zenon_He2 zenon_H122 zenon_Hf0 zenon_H15d zenon_H18a zenon_He3 zenon_H233 zenon_H34 zenon_H1cb zenon_H145 zenon_He5 zenon_H222 zenon_H1e zenon_H223 zenon_H41 zenon_H1f0 zenon_H30 zenon_Hb0 zenon_H56 zenon_H1f3 zenon_H3c zenon_H1e5. % 11.54/11.69 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H3b | zenon_intro zenon_Hf4 ]. % 11.54/11.69 apply (zenon_L9_); trivial. % 11.54/11.69 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H89 | zenon_intro zenon_Hf5 ]. % 11.54/11.69 apply (zenon_L229_); trivial. % 11.54/11.69 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_He1 | zenon_intro zenon_Hec ]. % 11.54/11.69 exact (zenon_He2 zenon_He1). % 11.54/11.69 apply (zenon_L701_); trivial. % 11.54/11.69 (* end of lemma zenon_L1042_ *) % 11.54/11.69 assert (zenon_L1043_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e3)) = (e1))) -> (~((e1) = (e3))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e2) = (e3))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((e0) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e3)) -> ((op (e0) (e2)) = (e1)) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> False). % 11.54/11.69 do 0 intro. intros zenon_H148 zenon_H1e5 zenon_H3c zenon_H1f3 zenon_Hb0 zenon_H30 zenon_H1f0 zenon_H41 zenon_H223 zenon_H222 zenon_He5 zenon_H34 zenon_H233 zenon_He3 zenon_H15d zenon_Hf0 zenon_H122 zenon_He2 zenon_H10e zenon_H75 zenon_H2e zenon_Hf3 zenon_H263 zenon_H1e zenon_Hcb zenon_H56 zenon_H157 zenon_H18b zenon_H18a zenon_H1cb. % 11.54/11.69 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H39 | zenon_intro zenon_H149 ]. % 11.54/11.69 apply (zenon_L8_); trivial. % 11.54/11.69 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H78 | zenon_intro zenon_H14a ]. % 11.54/11.69 apply (zenon_L510_); trivial. % 11.54/11.69 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H145 | zenon_intro zenon_H147 ]. % 11.54/11.69 apply (zenon_L1042_); trivial. % 11.54/11.69 apply (zenon_L708_); trivial. % 11.54/11.69 (* end of lemma zenon_L1043_ *) % 11.54/11.69 assert (zenon_L1044_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (~((e0) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e1))) -> (~((e1) = (e3))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e3) (e0)) = (e1)) -> ((op (e3) (e2)) = (e3)) -> (~((e2) = (e3))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e2) (e1)) = (e3)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> False). % 11.54/11.69 do 0 intro. intros zenon_H122 zenon_Hf0 zenon_H15d zenon_H18a zenon_He3 zenon_H233 zenon_H34 zenon_Hb0 zenon_H1e5 zenon_H3c zenon_H30 zenon_H1f0 zenon_H99 zenon_Hec zenon_H41 zenon_H223 zenon_H1e zenon_H222 zenon_H56 zenon_H1f3 zenon_He5 zenon_H145 zenon_H1cb. % 11.54/11.69 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H123 ]. % 11.54/11.69 apply (zenon_L681_); trivial. % 11.54/11.69 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H120 | zenon_intro zenon_H124 ]. % 11.54/11.69 apply (zenon_L472_); trivial. % 11.54/11.69 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H9d ]. % 11.54/11.69 apply (zenon_L89_); trivial. % 11.54/11.69 apply (zenon_L700_); trivial. % 11.54/11.69 (* end of lemma zenon_L1044_ *) % 11.54/11.69 assert (zenon_L1045_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e0) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e1))) -> (~((e1) = (e3))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e3) (e0)) = (e1)) -> (~((e2) = (e3))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> False). % 11.54/11.69 do 0 intro. intros zenon_H148 zenon_H233 zenon_H122 zenon_Hf0 zenon_H15d zenon_He3 zenon_H34 zenon_Hb0 zenon_H1e5 zenon_H3c zenon_H30 zenon_H1f0 zenon_H99 zenon_H41 zenon_H223 zenon_H222 zenon_H1f3 zenon_He5 zenon_H2e zenon_H101 zenon_H251 zenon_H263 zenon_H1e zenon_Hcb zenon_H56 zenon_H157 zenon_H18b zenon_H18a zenon_H1cb. % 11.54/11.69 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H39 | zenon_intro zenon_H149 ]. % 11.54/11.69 apply (zenon_L8_); trivial. % 11.54/11.69 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H78 | zenon_intro zenon_H14a ]. % 11.54/11.69 apply (zenon_L510_); trivial. % 11.54/11.69 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H145 | zenon_intro zenon_H147 ]. % 11.54/11.69 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H15e | zenon_intro zenon_H253 ]. % 11.54/11.70 apply (zenon_L477_); trivial. % 11.54/11.70 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ]. % 11.54/11.70 apply (zenon_L643_); trivial. % 11.54/11.70 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_Hec | zenon_intro zenon_Hed ]. % 11.54/11.70 apply (zenon_L1044_); trivial. % 11.54/11.70 exact (zenon_H233 zenon_Hed). % 11.54/11.70 apply (zenon_L708_); trivial. % 11.54/11.70 (* end of lemma zenon_L1045_ *) % 11.54/11.70 assert (zenon_L1046_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> ((op (e2) (e0)) = (e1)) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e2) (e1)) = (e3)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> False). % 11.54/11.70 do 0 intro. intros zenon_Hfa zenon_H192 zenon_Hc0 zenon_Hcb zenon_H122 zenon_H15d zenon_H18a zenon_H34 zenon_H41 zenon_H1f0 zenon_H30 zenon_Hb0 zenon_H3c zenon_H251 zenon_H233 zenon_H1e5 zenon_He3 zenon_Hf0 zenon_He2 zenon_Had zenon_H11c zenon_H6f zenon_H19c zenon_H223 zenon_H1e zenon_H222 zenon_H56 zenon_H1f3 zenon_He5 zenon_H145 zenon_H1cb. % 11.54/11.70 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H6e | zenon_intro zenon_Hfc ]. % 11.54/11.70 apply (zenon_L697_); trivial. % 11.54/11.70 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hfd ]. % 11.54/11.70 apply (zenon_L55_); trivial. % 11.54/11.70 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hce | zenon_intro zenon_H96 ]. % 11.54/11.70 apply (zenon_L174_); trivial. % 11.54/11.70 apply (zenon_L704_); trivial. % 11.54/11.70 (* end of lemma zenon_L1046_ *) % 11.54/11.70 assert (zenon_L1047_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> False). % 11.54/11.70 do 0 intro. intros zenon_H148 zenon_He5 zenon_H1f3 zenon_H222 zenon_H223 zenon_H19c zenon_H6f zenon_H11c zenon_Had zenon_He2 zenon_Hf0 zenon_He3 zenon_H1e5 zenon_H233 zenon_H251 zenon_H3c zenon_Hb0 zenon_H30 zenon_H1f0 zenon_H41 zenon_H34 zenon_H15d zenon_H122 zenon_Hc0 zenon_H192 zenon_Hfa zenon_H263 zenon_H1e zenon_Hcb zenon_H56 zenon_H157 zenon_H18b zenon_H18a zenon_H1cb. % 11.54/11.70 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H39 | zenon_intro zenon_H149 ]. % 11.54/11.70 apply (zenon_L8_); trivial. % 11.54/11.70 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H78 | zenon_intro zenon_H14a ]. % 11.54/11.70 apply (zenon_L510_); trivial. % 11.54/11.70 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H145 | zenon_intro zenon_H147 ]. % 11.54/11.70 apply (zenon_L1046_); trivial. % 11.54/11.70 apply (zenon_L708_); trivial. % 11.54/11.70 (* end of lemma zenon_L1047_ *) % 11.54/11.70 assert (zenon_L1048_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e0) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e1))) -> (~((e1) = (e3))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e2) = (e3))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> False). % 11.54/11.70 do 0 intro. intros zenon_Hb7 zenon_H226 zenon_H10e zenon_Hf3 zenon_H161 zenon_H1ca zenon_Hfa zenon_H192 zenon_Hc0 zenon_He2 zenon_Had zenon_H11c zenon_H19c zenon_H148 zenon_H233 zenon_H122 zenon_Hf0 zenon_H15d zenon_He3 zenon_H34 zenon_Hb0 zenon_H1e5 zenon_H3c zenon_H30 zenon_H1f0 zenon_H41 zenon_H223 zenon_H222 zenon_H1f3 zenon_He5 zenon_H2e zenon_H101 zenon_H251 zenon_H263 zenon_H1e zenon_Hcb zenon_H56 zenon_H157 zenon_H18b zenon_H18a zenon_H1cb. % 11.54/11.70 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ]. % 11.54/11.70 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ]. % 11.54/11.70 apply (zenon_L58_); trivial. % 11.54/11.70 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ]. % 11.54/11.70 apply (zenon_L1043_); trivial. % 11.54/11.70 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ]. % 11.54/11.70 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H99 | zenon_intro zenon_H1f1 ]. % 11.54/11.70 apply (zenon_L1045_); trivial. % 11.54/11.70 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_He6 | zenon_intro zenon_H1f2 ]. % 11.54/11.70 apply (zenon_L278_); trivial. % 11.54/11.70 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H1d9 | zenon_intro zenon_He7 ]. % 11.54/11.70 apply (zenon_L713_); trivial. % 11.54/11.70 exact (zenon_H1e5 zenon_He7). % 11.54/11.70 apply (zenon_L477_); trivial. % 11.54/11.70 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ]. % 11.54/11.70 apply (zenon_L459_); trivial. % 11.54/11.70 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ]. % 11.54/11.70 apply (zenon_L1047_); trivial. % 11.54/11.70 apply (zenon_L1045_); trivial. % 11.54/11.70 (* end of lemma zenon_L1048_ *) % 11.54/11.70 assert (zenon_L1049_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e2) (e2)) = (e0)) -> ((op (e2) (e1)) = (e3)) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e1)) -> False). % 11.54/11.70 do 0 intro. intros zenon_H11b zenon_Hce zenon_H145 zenon_H56 zenon_H157 zenon_H11c zenon_H16e zenon_H47. % 11.54/11.70 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H6f | zenon_intro zenon_H11d ]. % 11.54/11.70 apply (zenon_L174_); trivial. % 11.54/11.70 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H11e ]. % 11.54/11.70 apply (zenon_L239_); trivial. % 11.54/11.70 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H11f | zenon_intro zenon_H118 ]. % 11.54/11.70 exact (zenon_H11c zenon_H11f). % 11.54/11.70 apply (zenon_L150_); trivial. % 11.54/11.70 (* end of lemma zenon_L1049_ *) % 11.54/11.70 assert (zenon_L1050_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e1)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e0)) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e1))) -> (~((e0) = (e1))) -> False). % 11.54/11.70 do 0 intro. intros zenon_Hfa zenon_H192 zenon_Hc0 zenon_Hcb zenon_H47 zenon_H16e zenon_H11b zenon_H1cb zenon_H145 zenon_He5 zenon_H1f3 zenon_H222 zenon_H1e zenon_H223 zenon_H19c zenon_Had zenon_He2 zenon_Hf0 zenon_He3 zenon_H1e5 zenon_H233 zenon_H251 zenon_H3c zenon_Hb0 zenon_H30 zenon_H1f0 zenon_H41 zenon_H34 zenon_H18a zenon_H15d zenon_H122 zenon_H56 zenon_H157 zenon_H11c zenon_H20. % 11.54/11.70 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H6e | zenon_intro zenon_Hfc ]. % 11.54/11.70 apply (zenon_L697_); trivial. % 11.54/11.70 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hfd ]. % 11.54/11.70 apply (zenon_L55_); trivial. % 11.54/11.70 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hce | zenon_intro zenon_H96 ]. % 11.54/11.70 apply (zenon_L1049_); trivial. % 11.54/11.70 apply (zenon_L705_); trivial. % 11.54/11.70 (* end of lemma zenon_L1050_ *) % 11.54/11.70 assert (zenon_L1051_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e1))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> False). % 11.54/11.70 do 0 intro. intros zenon_H148 zenon_H20 zenon_H11c zenon_H122 zenon_H15d zenon_H34 zenon_H41 zenon_H1f0 zenon_H30 zenon_Hb0 zenon_H3c zenon_H251 zenon_H233 zenon_H1e5 zenon_He3 zenon_Hf0 zenon_He2 zenon_Had zenon_H19c zenon_H223 zenon_H222 zenon_H1f3 zenon_He5 zenon_H11b zenon_H16e zenon_H47 zenon_Hc0 zenon_H192 zenon_Hfa zenon_H263 zenon_H1e zenon_Hcb zenon_H56 zenon_H157 zenon_H18b zenon_H18a zenon_H1cb. % 11.54/11.70 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H39 | zenon_intro zenon_H149 ]. % 11.54/11.70 apply (zenon_L8_); trivial. % 11.54/11.70 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H78 | zenon_intro zenon_H14a ]. % 11.54/11.70 apply (zenon_L510_); trivial. % 11.54/11.70 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H145 | zenon_intro zenon_H147 ]. % 11.54/11.70 apply (zenon_L1050_); trivial. % 11.54/11.70 apply (zenon_L708_); trivial. % 11.54/11.70 (* end of lemma zenon_L1051_ *) % 11.54/11.70 assert (zenon_L1052_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e1))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e3)) -> ((op (e2) (e0)) = (e1)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> ((op (e3) (e1)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> False). % 11.54/11.70 do 0 intro. intros zenon_Hfa zenon_H20 zenon_H1e zenon_Hcb zenon_H145 zenon_H6f zenon_Hf0 zenon_He3 zenon_H1e5 zenon_Ha4 zenon_He5 zenon_H233. % 11.54/11.70 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H6e | zenon_intro zenon_Hfc ]. % 11.54/11.70 apply (zenon_L29_); trivial. % 11.54/11.70 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hfd ]. % 11.54/11.70 apply (zenon_L55_); trivial. % 11.54/11.70 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hce | zenon_intro zenon_H96 ]. % 11.54/11.70 apply (zenon_L174_); trivial. % 11.54/11.70 apply (zenon_L703_); trivial. % 11.54/11.70 (* end of lemma zenon_L1052_ *) % 11.54/11.70 assert (zenon_L1053_ : (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (e0))) -> (~((e0) = (e1))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e2) (e1)) = (e3)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e3)) -> False). % 11.54/11.70 do 0 intro. intros zenon_H255 zenon_H26b zenon_H20 zenon_H11c zenon_H157 zenon_H56 zenon_H122 zenon_H15d zenon_H34 zenon_H41 zenon_H1f0 zenon_H30 zenon_Hb0 zenon_H3c zenon_H251 zenon_H233 zenon_H1e5 zenon_He3 zenon_Hf0 zenon_He2 zenon_Had zenon_H19c zenon_H223 zenon_H1e zenon_H222 zenon_H1f3 zenon_He5 zenon_H145 zenon_H1cb zenon_H11b zenon_Hcb zenon_Hc0 zenon_H192 zenon_Hfa zenon_H16e zenon_H18a zenon_H61 zenon_H8b. % 11.54/11.70 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H72 | zenon_intro zenon_H256 ]. % 11.54/11.70 exact (zenon_H26b zenon_H72). % 11.54/11.70 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H47 | zenon_intro zenon_H257 ]. % 11.54/11.70 apply (zenon_L1050_); trivial. % 11.54/11.70 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H3f | zenon_intro zenon_H40 ]. % 11.54/11.70 apply (zenon_L213_); trivial. % 11.54/11.70 apply (zenon_L634_); trivial. % 11.54/11.70 (* end of lemma zenon_L1053_ *) % 11.54/11.70 assert (zenon_L1054_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e3)) -> ((op (e0) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e0)) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e1))) -> (~((e0) = (e1))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e3) (e1)) = (e2)) -> False). % 11.54/11.70 do 0 intro. intros zenon_H8d zenon_H212 zenon_H15e zenon_H3b zenon_H13f zenon_H148 zenon_H61 zenon_H18a zenon_H16e zenon_Hfa zenon_H192 zenon_Hc0 zenon_Hcb zenon_H11b zenon_H1cb zenon_He5 zenon_H1f3 zenon_H222 zenon_H1e zenon_H223 zenon_H19c zenon_Had zenon_He2 zenon_Hf0 zenon_He3 zenon_H1e5 zenon_H233 zenon_H251 zenon_H3c zenon_Hb0 zenon_H30 zenon_H1f0 zenon_H34 zenon_H15d zenon_H122 zenon_H56 zenon_H157 zenon_H11c zenon_H20 zenon_H26b zenon_H255 zenon_H41 zenon_Ha4. % 11.54/11.70 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H75 | zenon_intro zenon_H8e ]. % 11.54/11.70 apply (zenon_L299_); trivial. % 11.54/11.70 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H78 | zenon_intro zenon_H8f ]. % 11.54/11.70 apply (zenon_L510_); trivial. % 11.54/11.70 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H8b ]. % 11.54/11.70 apply (zenon_L119_); trivial. % 11.54/11.70 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H39 | zenon_intro zenon_H149 ]. % 11.54/11.70 apply (zenon_L8_); trivial. % 11.54/11.70 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H78 | zenon_intro zenon_H14a ]. % 11.54/11.70 apply (zenon_L510_); trivial. % 11.54/11.70 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H145 | zenon_intro zenon_H147 ]. % 11.54/11.70 apply (zenon_L1053_); trivial. % 11.54/11.70 apply (zenon_L609_); trivial. % 11.54/11.70 (* end of lemma zenon_L1054_ *) % 11.54/11.70 assert (zenon_L1055_ : (~((e2) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (e0))) -> (~((e0) = (e1))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e2)) -> ((op (e3) (e3)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e3)) -> (~((op (e3) (e3)) = (e3))) -> False). % 11.54/11.70 do 0 intro. intros zenon_H41 zenon_H255 zenon_H26b zenon_H20 zenon_H11c zenon_H157 zenon_H56 zenon_H122 zenon_H34 zenon_H1f0 zenon_H30 zenon_Hb0 zenon_H3c zenon_H251 zenon_H1e5 zenon_He3 zenon_Hf0 zenon_He2 zenon_Had zenon_H19c zenon_H223 zenon_H1e zenon_H222 zenon_H1f3 zenon_He5 zenon_H1cb zenon_H11b zenon_Hcb zenon_Hc0 zenon_H192 zenon_Hfa zenon_H16e zenon_H18a zenon_H61 zenon_H148 zenon_H13f zenon_H212 zenon_H8d zenon_H16a zenon_Ha4 zenon_H9d zenon_H15d zenon_H1df zenon_H101 zenon_H3b zenon_H233. % 11.54/11.70 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H15e | zenon_intro zenon_H253 ]. % 11.54/11.70 apply (zenon_L1054_); trivial. % 11.54/11.70 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ]. % 11.54/11.70 apply (zenon_L719_); trivial. % 11.54/11.70 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_Hec | zenon_intro zenon_Hed ]. % 11.54/11.70 apply (zenon_L80_); trivial. % 11.54/11.70 exact (zenon_H233 zenon_Hed). % 11.54/11.70 (* end of lemma zenon_L1055_ *) % 11.54/11.70 assert (zenon_L1056_ : ((op (e2) (e1)) = (e3)) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((e2) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (e0))) -> (~((e0) = (e1))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e3)) -> (~((op (e3) (e3)) = (e3))) -> False). % 11.54/11.70 do 0 intro. intros zenon_H145 zenon_Hb9 zenon_H57 zenon_H23c zenon_H41 zenon_H255 zenon_H26b zenon_H20 zenon_H11c zenon_H157 zenon_H56 zenon_H122 zenon_H34 zenon_H1f0 zenon_H30 zenon_Hb0 zenon_H3c zenon_H251 zenon_H1e5 zenon_He3 zenon_Hf0 zenon_He2 zenon_Had zenon_H19c zenon_H223 zenon_H1e zenon_H222 zenon_H1f3 zenon_He5 zenon_H1cb zenon_H11b zenon_Hcb zenon_Hc0 zenon_H192 zenon_Hfa zenon_H16e zenon_H18a zenon_H61 zenon_H148 zenon_H13f zenon_H212 zenon_H8d zenon_H16a zenon_Ha4 zenon_H15d zenon_H1df zenon_H101 zenon_H3b zenon_H233. % 11.54/11.70 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H6f | zenon_intro zenon_H11d ]. % 11.54/11.70 apply (zenon_L1052_); trivial. % 11.54/11.70 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H11e ]. % 11.54/11.70 apply (zenon_L239_); trivial. % 11.54/11.70 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H11f | zenon_intro zenon_H118 ]. % 11.54/11.70 exact (zenon_H11c zenon_H11f). % 11.54/11.70 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H72 | zenon_intro zenon_Hbe ]. % 11.54/11.70 exact (zenon_H26b zenon_H72). % 11.54/11.70 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H7a | zenon_intro zenon_Hbf ]. % 11.54/11.70 apply (zenon_L479_); trivial. % 11.54/11.70 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H96 | zenon_intro zenon_H9d ]. % 11.54/11.70 apply (zenon_L166_); trivial. % 11.54/11.70 apply (zenon_L1055_); trivial. % 11.54/11.70 (* end of lemma zenon_L1056_ *) % 11.54/11.70 assert (zenon_L1057_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (e1))) -> (~((e0) = (e1))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> False). % 11.54/11.70 do 0 intro. intros zenon_H148 zenon_H8b zenon_H61 zenon_H16e zenon_Hfa zenon_H192 zenon_Hc0 zenon_H11b zenon_He5 zenon_H1f3 zenon_H222 zenon_H223 zenon_H19c zenon_Had zenon_He2 zenon_Hf0 zenon_He3 zenon_H1e5 zenon_H233 zenon_H251 zenon_H3c zenon_Hb0 zenon_H30 zenon_H1f0 zenon_H41 zenon_H34 zenon_H15d zenon_H122 zenon_H11c zenon_H20 zenon_H26b zenon_H255 zenon_H263 zenon_H1e zenon_Hcb zenon_H56 zenon_H157 zenon_H18b zenon_H18a zenon_H1cb. % 11.54/11.70 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H39 | zenon_intro zenon_H149 ]. % 11.54/11.70 apply (zenon_L8_); trivial. % 11.54/11.70 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H78 | zenon_intro zenon_H14a ]. % 11.54/11.70 apply (zenon_L510_); trivial. % 11.54/11.70 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H145 | zenon_intro zenon_H147 ]. % 11.54/11.70 apply (zenon_L1053_); trivial. % 11.54/11.70 apply (zenon_L708_); trivial. % 11.54/11.70 (* end of lemma zenon_L1057_ *) % 11.54/11.70 assert (zenon_L1058_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e3)) -> ((op (e0) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (e1))) -> (~((e0) = (e1))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> False). % 11.54/11.70 do 0 intro. intros zenon_H8d zenon_H212 zenon_H15e zenon_H3b zenon_H13f zenon_H148 zenon_H61 zenon_H16e zenon_Hfa zenon_H192 zenon_Hc0 zenon_H11b zenon_He5 zenon_H1f3 zenon_H222 zenon_H223 zenon_H19c zenon_Had zenon_He2 zenon_Hf0 zenon_He3 zenon_H1e5 zenon_H233 zenon_H251 zenon_H3c zenon_Hb0 zenon_H30 zenon_H1f0 zenon_H41 zenon_H34 zenon_H15d zenon_H122 zenon_H11c zenon_H20 zenon_H26b zenon_H255 zenon_H263 zenon_H1e zenon_Hcb zenon_H56 zenon_H157 zenon_H18b zenon_H18a zenon_H1cb. % 11.54/11.70 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H75 | zenon_intro zenon_H8e ]. % 11.54/11.70 apply (zenon_L299_); trivial. % 11.54/11.70 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H78 | zenon_intro zenon_H8f ]. % 11.54/11.70 apply (zenon_L510_); trivial. % 11.54/11.70 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H8b ]. % 11.54/11.70 apply (zenon_L119_); trivial. % 11.54/11.70 apply (zenon_L1057_); trivial. % 11.54/11.70 (* end of lemma zenon_L1058_ *) % 11.54/11.70 assert (zenon_L1059_ : (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (e1))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e3)) -> False). % 11.54/11.70 do 0 intro. intros zenon_H154 zenon_H57 zenon_H23c zenon_H91 zenon_H117 zenon_H18a zenon_H61 zenon_H40. % 11.54/11.70 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H7a | zenon_intro zenon_H155 ]. % 11.54/11.70 apply (zenon_L479_); trivial. % 11.54/11.70 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H90 | zenon_intro zenon_H156 ]. % 11.54/11.70 exact (zenon_H91 zenon_H90). % 11.54/11.70 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H62 | zenon_intro zenon_H8b ]. % 11.54/11.70 apply (zenon_L332_); trivial. % 11.54/11.70 apply (zenon_L634_); trivial. % 11.54/11.70 (* end of lemma zenon_L1059_ *) % 11.54/11.70 assert (zenon_L1060_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e0)) = (e0)) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (e0))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e1))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> False). % 11.54/11.70 do 0 intro. intros zenon_H4c zenon_H61 zenon_H117 zenon_H91 zenon_H23c zenon_H57 zenon_H154 zenon_H255 zenon_H26b zenon_H13f zenon_H212 zenon_H8d zenon_Hb9 zenon_H16a zenon_H1df zenon_H44 zenon_H101 zenon_H1ca zenon_H161 zenon_Hf3 zenon_H10e zenon_H226 zenon_Hb7 zenon_H148 zenon_H20 zenon_H11c zenon_H122 zenon_H15d zenon_H34 zenon_H41 zenon_H1f0 zenon_H30 zenon_Hb0 zenon_H3c zenon_H251 zenon_H233 zenon_H1e5 zenon_He3 zenon_Hf0 zenon_He2 zenon_Had zenon_H19c zenon_H223 zenon_H222 zenon_H1f3 zenon_He5 zenon_H11b zenon_H16e zenon_Hc0 zenon_H192 zenon_Hfa zenon_H263 zenon_H1e zenon_Hcb zenon_H56 zenon_H157 zenon_H18b zenon_H18a zenon_H1cb. % 11.54/11.70 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.54/11.70 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.54/11.70 apply (zenon_L58_); trivial. % 11.54/11.70 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.54/11.70 apply (zenon_L8_); trivial. % 11.54/11.70 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.54/11.70 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H39 | zenon_intro zenon_H149 ]. % 11.54/11.70 apply (zenon_L8_); trivial. % 11.54/11.70 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H78 | zenon_intro zenon_H14a ]. % 11.54/11.70 apply (zenon_L510_); trivial. % 11.54/11.70 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H145 | zenon_intro zenon_H147 ]. % 11.54/11.70 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H9a | zenon_intro zenon_Hb2 ]. % 11.54/11.70 apply (zenon_L702_); trivial. % 11.54/11.70 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Hb3 ]. % 11.54/11.70 apply (zenon_L1056_); trivial. % 11.54/11.70 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_Hae | zenon_intro zenon_Hb4 ]. % 11.54/11.70 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H15e | zenon_intro zenon_H253 ]. % 11.54/11.70 apply (zenon_L1058_); trivial. % 11.54/11.70 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ]. % 11.54/11.70 apply (zenon_L708_); trivial. % 11.54/11.70 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_Hec | zenon_intro zenon_Hed ]. % 11.54/11.70 apply (zenon_L271_); trivial. % 11.54/11.70 exact (zenon_H233 zenon_Hed). % 11.54/11.70 apply (zenon_L699_); trivial. % 11.54/11.70 apply (zenon_L708_); trivial. % 11.54/11.70 apply (zenon_L1059_); trivial. % 11.54/11.70 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.54/11.70 apply (zenon_L2_); trivial. % 11.54/11.70 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.54/11.70 apply (zenon_L1048_); trivial. % 11.54/11.70 apply (zenon_L1051_); trivial. % 11.54/11.70 (* end of lemma zenon_L1060_ *) % 11.54/11.70 assert (zenon_L1061_ : (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e0)) = (e3)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e0)) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e3) (e3)) = (e1))) -> (~((e1) = (e3))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e3))) -> False). % 11.54/11.70 do 0 intro. intros zenon_H251 zenon_H212 zenon_H75 zenon_H1cb zenon_H18b zenon_H157 zenon_Hcb zenon_H1e zenon_H263 zenon_H1e5 zenon_H3c zenon_H1f3 zenon_H56 zenon_Hf0 zenon_Hc3 zenon_H15d zenon_H18a zenon_He3 zenon_H1f0 zenon_H233. % 11.54/11.70 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H15e | zenon_intro zenon_H253 ]. % 11.54/11.70 apply (zenon_L299_); trivial. % 11.54/11.70 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ]. % 11.54/11.70 apply (zenon_L708_); trivial. % 11.54/11.70 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_Hec | zenon_intro zenon_Hed ]. % 11.54/11.70 apply (zenon_L681_); trivial. % 11.54/11.70 exact (zenon_H233 zenon_Hed). % 11.54/11.70 (* end of lemma zenon_L1061_ *) % 11.54/11.70 assert (zenon_L1062_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e0)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e1))) -> False). % 11.54/11.70 do 0 intro. intros zenon_H1f0 zenon_H233 zenon_He3 zenon_H18a zenon_H15d zenon_Hc3 zenon_Hf0 zenon_H56 zenon_H1f3 zenon_H2e zenon_H101 zenon_H1e5. % 11.54/11.70 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H99 | zenon_intro zenon_H1f1 ]. % 11.54/11.70 apply (zenon_L662_); trivial. % 11.54/11.70 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_He6 | zenon_intro zenon_H1f2 ]. % 11.54/11.70 apply (zenon_L278_); trivial. % 11.54/11.70 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H1d9 | zenon_intro zenon_He7 ]. % 11.54/11.70 apply (zenon_L476_); trivial. % 11.54/11.70 exact (zenon_H1e5 zenon_He7). % 11.54/11.70 (* end of lemma zenon_L1062_ *) % 11.54/11.70 assert (zenon_L1063_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e2) (e0)) = (e3)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e0)) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> False). % 11.54/11.70 do 0 intro. intros zenon_H22e zenon_H1e5 zenon_H101 zenon_H1f3 zenon_Hf0 zenon_Hc3 zenon_H15d zenon_He3 zenon_H1f0 zenon_H216 zenon_H11c zenon_H251 zenon_H226 zenon_H152 zenon_H1cb zenon_H18a zenon_H18b zenon_H157 zenon_H56 zenon_Hcb zenon_H1e zenon_H263 zenon_H3c zenon_H233. % 11.54/11.70 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H2e | zenon_intro zenon_H22f ]. % 11.54/11.70 apply (zenon_L1062_); trivial. % 11.54/11.70 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H88 | zenon_intro zenon_H230 ]. % 11.54/11.70 apply (zenon_L304_); trivial. % 11.54/11.70 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H11f | zenon_intro zenon_H1d9 ]. % 11.54/11.70 exact (zenon_H11c zenon_H11f). % 11.54/11.70 apply (zenon_L713_); trivial. % 11.54/11.70 (* end of lemma zenon_L1063_ *) % 11.54/11.70 assert (zenon_L1064_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e0) = (e1))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> False). % 11.54/11.70 do 0 intro. intros zenon_H4c zenon_H34 zenon_H22e zenon_H216 zenon_H11c zenon_H251 zenon_H226 zenon_H1cb zenon_H18b zenon_H157 zenon_Hcb zenon_H263 zenon_H3c zenon_H212 zenon_H161 zenon_H20 zenon_H1e zenon_H1e5 zenon_H101 zenon_H1f3 zenon_H56 zenon_H1f0 zenon_Hf0 zenon_Hc3 zenon_H15d zenon_H13a zenon_H18a zenon_He3 zenon_H233. % 11.54/11.70 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.54/11.70 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H33 | zenon_intro zenon_H162 ]. % 11.54/11.70 apply (zenon_L58_); trivial. % 11.54/11.70 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H75 | zenon_intro zenon_H163 ]. % 11.54/11.70 apply (zenon_L1061_); trivial. % 11.54/11.70 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ]. % 11.54/11.70 apply (zenon_L1063_); trivial. % 11.54/11.70 apply (zenon_L201_); trivial. % 11.54/11.70 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.54/11.70 apply (zenon_L2_); trivial. % 11.54/11.70 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.54/11.70 apply (zenon_L1062_); trivial. % 11.54/11.70 apply (zenon_L712_); trivial. % 11.54/11.70 (* end of lemma zenon_L1064_ *) % 11.54/11.70 assert (zenon_L1065_ : ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (e1))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (e0))) -> (~((e0) = (e1))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((e1) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((e2) = (e3))) -> (~((e1) = (e2))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e3))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> False). % 11.54/11.70 do 0 intro. intros zenon_H1ff zenon_H12d zenon_H216 zenon_H22e zenon_H13a zenon_H44 zenon_H91 zenon_H117 zenon_H154 zenon_Hb9 zenon_H8d zenon_H255 zenon_H61 zenon_H13f zenon_H212 zenon_H1df zenon_H16a zenon_H23c zenon_H26b zenon_H20 zenon_H10b zenon_H56 zenon_Hb7 zenon_Hfa zenon_Had zenon_Hc0 zenon_H192 zenon_H19c zenon_H1ca zenon_H3c zenon_H148 zenon_Hcb zenon_H157 zenon_H18b zenon_H263 zenon_H10e zenon_He2 zenon_H122 zenon_Hb0 zenon_He5 zenon_H1cb zenon_H223 zenon_H41 zenon_H30 zenon_H222 zenon_Hf0 zenon_H233 zenon_H18a zenon_He3 zenon_H15d zenon_H1f3 zenon_H1f0 zenon_Hf3 zenon_H1e zenon_H34 zenon_H226 zenon_H251 zenon_H101 zenon_H161 zenon_H11b zenon_H16e zenon_H4c zenon_H1fe. % 11.54/11.70 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H11c | zenon_intro zenon_Hc7 ]. % 11.54/11.70 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e5 | zenon_intro zenon_H147 ]. % 11.54/11.70 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H25 | zenon_intro zenon_H12e ]. % 11.54/11.70 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.54/11.70 apply (zenon_L129_); trivial. % 11.54/11.70 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.54/11.70 apply (zenon_L223_); trivial. % 11.54/11.70 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.54/11.70 apply (zenon_L1048_); trivial. % 11.54/11.70 apply (zenon_L1051_); trivial. % 11.54/11.70 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H57 | zenon_intro zenon_H12f ]. % 11.54/11.70 apply (zenon_L1060_); trivial. % 11.54/11.70 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H6e | zenon_intro zenon_Hc3 ]. % 11.54/11.70 apply (zenon_L697_); trivial. % 11.54/11.70 apply (zenon_L1064_); trivial. % 11.54/11.70 apply (zenon_L708_); trivial. % 11.54/11.70 apply (zenon_L184_); trivial. % 11.54/11.70 (* end of lemma zenon_L1065_ *) % 11.54/11.70 assert (zenon_L1066_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e2)) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e2) (e2)) = (e3))) -> ((op (e2) (e3)) = (e2)) -> (~((e2) = (e3))) -> False). % 11.54/11.70 do 0 intro. intros zenon_H22e zenon_H210 zenon_H216 zenon_H11c zenon_H167 zenon_H222 zenon_H10b zenon_H6c zenon_H47 zenon_H71 zenon_H251 zenon_H226 zenon_H18b zenon_H157 zenon_H56 zenon_Hcb zenon_H263 zenon_H3c zenon_H233 zenon_H259 zenon_H1cb zenon_H147 zenon_He2 zenon_H18a zenon_H41. % 11.54/11.70 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H2e | zenon_intro zenon_H22f ]. % 11.54/11.70 apply (zenon_L522_); trivial. % 11.54/11.70 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H88 | zenon_intro zenon_H230 ]. % 11.54/11.70 apply (zenon_L304_); trivial. % 11.54/11.70 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H11f | zenon_intro zenon_H1d9 ]. % 11.54/11.70 exact (zenon_H11c zenon_H11f). % 11.54/11.70 apply (zenon_L716_); trivial. % 11.54/11.70 (* end of lemma zenon_L1066_ *) % 11.54/11.70 assert (zenon_L1067_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e2))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (e0))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e2) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (e1))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (~((e0) = (e1))) -> ((op (e0) (e2)) = (e0)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> False). % 11.54/11.70 do 0 intro. intros zenon_H12d zenon_H1b8 zenon_Hf6 zenon_H216 zenon_H210 zenon_H22e zenon_H27 zenon_H18b zenon_H148 zenon_Had zenon_H1e5 zenon_H1f3 zenon_H1f0 zenon_Hb0 zenon_H222 zenon_H71 zenon_H251 zenon_H226 zenon_H263 zenon_H259 zenon_H1cb zenon_H106 zenon_H44 zenon_Hf3 zenon_H125 zenon_H1df zenon_H16a zenon_H1e2 zenon_H101 zenon_H122 zenon_H1ca zenon_H255 zenon_H26b zenon_H13f zenon_H212 zenon_H8d zenon_Hb9 zenon_H161 zenon_H10e zenon_Hb7 zenon_H223 zenon_He5 zenon_H16e zenon_Hfa zenon_H203 zenon_H41 zenon_Hcb zenon_H11b zenon_H3c zenon_H157 zenon_H30 zenon_H167 zenon_H34 zenon_H154 zenon_H23c zenon_H91 zenon_H117 zenon_H61 zenon_He2 zenon_H192 zenon_H11c zenon_Hc0 zenon_H19c zenon_H4c zenon_H4d zenon_H10b zenon_H56 zenon_H20 zenon_Hd0 zenon_Hf0 zenon_H15d zenon_H13a zenon_H18a zenon_He3 zenon_H233. % 11.54/11.70 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H25 | zenon_intro zenon_H12e ]. % 11.54/11.70 apply (zenon_L221_); trivial. % 11.54/11.70 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H57 | zenon_intro zenon_H12f ]. % 11.54/11.70 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.54/11.70 exact (zenon_H4d zenon_H4f). % 11.54/11.70 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.54/11.70 apply (zenon_L223_); trivial. % 11.54/11.70 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.54/11.70 apply (zenon_L61_); trivial. % 11.54/11.70 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ]. % 11.54/11.70 exact (zenon_H4d zenon_H4f). % 11.54/11.70 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ]. % 11.54/11.70 apply (zenon_L459_); trivial. % 11.54/11.70 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ]. % 11.54/11.70 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.54/11.70 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H1e | zenon_intro zenon_H204 ]. % 11.54/11.71 apply (zenon_L1060_); trivial. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H10c | zenon_intro zenon_H205 ]. % 11.54/11.71 apply (zenon_L232_); trivial. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_Hcc | zenon_intro zenon_H120 ]. % 11.54/11.71 apply (zenon_L722_); trivial. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H2c | zenon_intro zenon_H109 ]. % 11.54/11.71 apply (zenon_L64_); trivial. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H6c | zenon_intro zenon_H10a ]. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H39 | zenon_intro zenon_H149 ]. % 11.54/11.71 apply (zenon_L680_); trivial. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H78 | zenon_intro zenon_H14a ]. % 11.54/11.71 apply (zenon_L510_); trivial. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H145 | zenon_intro zenon_H147 ]. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H2e | zenon_intro zenon_H22f ]. % 11.54/11.71 apply (zenon_L522_); trivial. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H88 | zenon_intro zenon_H230 ]. % 11.54/11.71 apply (zenon_L304_); trivial. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H11f | zenon_intro zenon_H1d9 ]. % 11.54/11.71 exact (zenon_H11c zenon_H11f). % 11.54/11.71 apply (zenon_L718_); trivial. % 11.54/11.71 apply (zenon_L1066_); trivial. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Ha4 ]. % 11.54/11.71 apply (zenon_L184_); trivial. % 11.54/11.71 apply (zenon_L98_); trivial. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.54/11.71 apply (zenon_L680_); trivial. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.54/11.71 apply (zenon_L59_); trivial. % 11.54/11.71 apply (zenon_L1059_); trivial. % 11.54/11.71 apply (zenon_L535_); trivial. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H6e | zenon_intro zenon_Hc3 ]. % 11.54/11.71 apply (zenon_L697_); trivial. % 11.54/11.71 apply (zenon_L724_); trivial. % 11.54/11.71 (* end of lemma zenon_L1067_ *) % 11.54/11.71 assert (zenon_L1068_ : ((((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))\/((((op (e1) (e1)) = (e1))/\(((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0)))/\(((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1)))/\(((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2)))/\((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3)))))))\/((((op (e2) (e2)) = (e2))/\(((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0)))/\(((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3)))))))\/(((op (e3) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3)))))))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((e0) = (e3))) -> (~((e0) = (e1))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e3)) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((e1) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e3))) -> (~((e2) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> False). % 11.54/11.71 do 0 intro. intros zenon_H1b0 zenon_H228 zenon_H105 zenon_H92 zenon_H16c zenon_H1aa zenon_H242 zenon_H95 zenon_Hc4 zenon_H65 zenon_H236 zenon_H18f zenon_H1b8 zenon_H106 zenon_H71 zenon_H259 zenon_H1e2 zenon_H125 zenon_H203 zenon_H226 zenon_H15d zenon_Hf0 zenon_H223 zenon_He5 zenon_H122 zenon_H263 zenon_H18b zenon_Hc0 zenon_Hfa zenon_H26b zenon_H23c zenon_H1df zenon_H212 zenon_H13f zenon_H61 zenon_H255 zenon_H8d zenon_Hb9 zenon_H154 zenon_H117 zenon_H13a zenon_H12d zenon_H10b zenon_H49 zenon_H16e zenon_H34 zenon_H20 zenon_H148 zenon_H210 zenon_Hb0 zenon_He3 zenon_Had zenon_H19c zenon_H222 zenon_H1cb zenon_H251 zenon_H22e zenon_H91 zenon_H1d5 zenon_Hf3 zenon_H10e zenon_Hfb zenon_H11b zenon_H30 zenon_H157 zenon_H3c zenon_Hcb zenon_He2 zenon_H41 zenon_H167 zenon_H1f0 zenon_H101 zenon_H1f3 zenon_H161 zenon_H27 zenon_H44 zenon_Hf6 zenon_Hb7 zenon_H216 zenon_H16a zenon_H1ca zenon_H4c zenon_H18a zenon_H192 zenon_H233. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H51 | zenon_intro zenon_H1b1 ]. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H25. zenon_intro zenon_H52. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H1f7. zenon_intro zenon_H1f6. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H1f9. zenon_intro zenon_H1f8. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H1f8). zenon_intro zenon_H1fb. zenon_intro zenon_H1fa. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_Hcf | zenon_intro zenon_Hb5 ]. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H9e | zenon_intro zenon_H15e ]. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.54/11.71 apply (zenon_L129_); trivial. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.54/11.71 apply (zenon_L985_); trivial. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.54/11.71 apply (zenon_L673_); trivial. % 11.54/11.71 apply (zenon_L851_); trivial. % 11.54/11.71 apply (zenon_L1041_); trivial. % 11.54/11.71 apply (zenon_L334_); trivial. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H53 | zenon_intro zenon_H1b2 ]. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H56. zenon_intro zenon_H55. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H1c0. zenon_intro zenon_H1bf. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_H1fd. zenon_intro zenon_H1fc. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H1fc). zenon_intro zenon_H1ff. zenon_intro zenon_H1fe. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H1c0); [ zenon_intro zenon_H4d | zenon_intro zenon_H1e ]. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H11c | zenon_intro zenon_Hc7 ]. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e5 | zenon_intro zenon_H147 ]. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H25 | zenon_intro zenon_H190 ]. % 11.54/11.71 apply (zenon_L990_); trivial. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H1e | zenon_intro zenon_H191 ]. % 11.54/11.71 apply (zenon_L1065_); trivial. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H72 ]. % 11.54/11.71 apply (zenon_L1067_); trivial. % 11.54/11.71 exact (zenon_H26b zenon_H72). % 11.54/11.71 apply (zenon_L690_); trivial. % 11.54/11.71 apply (zenon_L184_); trivial. % 11.54/11.71 apply (zenon_L1065_); trivial. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H132 | zenon_intro zenon_H15f ]. % 11.54/11.71 apply (zenon_L729_); trivial. % 11.54/11.71 apply (zenon_L456_); trivial. % 11.54/11.71 (* end of lemma zenon_L1068_ *) % 11.54/11.71 assert (zenon_L1069_ : ((~((op (e3) (e3)) = (e0)))\/(~((op (e3) (e0)) = (e3)))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))\/((((op (e1) (e1)) = (e1))/\(((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0)))/\(((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1)))/\(((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2)))/\((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3)))))))\/((((op (e2) (e2)) = (e2))/\(((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0)))/\(((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3)))))))\/(((op (e3) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3)))))))))) -> False). % 11.54/11.71 do 0 intro. intros zenon_H25d zenon_H234 zenon_Hfa zenon_H65 zenon_H27 zenon_H18f zenon_H4c zenon_H1ca zenon_H44 zenon_H20 zenon_H23c zenon_H154 zenon_H226 zenon_Hcb zenon_Hb9 zenon_H34 zenon_H167 zenon_H141 zenon_H61 zenon_H117 zenon_H1e2 zenon_Hb7 zenon_H3c zenon_H101 zenon_H1f0 zenon_H10b zenon_H157 zenon_H16e zenon_H11b zenon_H12d zenon_H222 zenon_H1f3 zenon_Hf0 zenon_H15e zenon_H15d zenon_He5 zenon_H16a zenon_H223 zenon_H197 zenon_H192 zenon_H228 zenon_H22e zenon_H10e zenon_H125 zenon_H5c zenon_H13f zenon_H245 zenon_H122 zenon_H105 zenon_H95 zenon_H212 zenon_H8d zenon_Hc4 zenon_Hc0 zenon_H242 zenon_H216 zenon_Hb8 zenon_Hf6 zenon_H30 zenon_H49 zenon_H41 zenon_Had zenon_Hb0 zenon_H13a zenon_H1b0. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H9e | zenon_intro zenon_H252 ]. % 11.54/11.71 apply (zenon_L515_); trivial. % 11.54/11.71 exact (zenon_H252 zenon_H15e). % 11.54/11.71 (* end of lemma zenon_L1069_ *) % 11.54/11.71 assert (zenon_L1070_ : (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e3) (e3)) = (e1))) -> ((op (e3) (e0)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e3)) -> False). % 11.54/11.71 do 0 intro. intros zenon_Hf0 zenon_H9e zenon_H1e5 zenon_H9a zenon_H15d zenon_He5 zenon_H147. % 11.54/11.71 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf1 ]. % 11.54/11.71 exact (zenon_H9e zenon_H9d). % 11.54/11.71 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_He7 | zenon_intro zenon_Hf2 ]. % 11.54/11.71 exact (zenon_H1e5 zenon_He7). % 11.54/11.71 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_Hb4 | zenon_intro zenon_Hed ]. % 11.54/11.71 apply (zenon_L997_); trivial. % 11.54/11.71 apply (zenon_L132_); trivial. % 11.54/11.71 (* end of lemma zenon_L1070_ *) % 11.54/11.71 assert (zenon_L1071_ : (((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((e0) = (e3))) -> ((op (e3) (e1)) = (e3)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> False). % 11.54/11.71 do 0 intro. intros zenon_H51 zenon_H1e2 zenon_H34 zenon_H147 zenon_H1df zenon_H16a zenon_H15d zenon_H1e5 zenon_He5 zenon_Hf0 zenon_H122. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H25. zenon_intro zenon_H52. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H1f7. zenon_intro zenon_H1f6. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H1f9. zenon_intro zenon_H1f8. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H1f8). zenon_intro zenon_H1fb. zenon_intro zenon_H1fa. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H9e | zenon_intro zenon_H15e ]. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H123 ]. % 11.54/11.71 apply (zenon_L261_); trivial. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H120 | zenon_intro zenon_H124 ]. % 11.54/11.71 apply (zenon_L670_); trivial. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H9d ]. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H1e0 ]. % 11.54/11.71 apply (zenon_L261_); trivial. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H99 | zenon_intro zenon_H1e1 ]. % 11.54/11.71 apply (zenon_L952_); trivial. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H9a | zenon_intro zenon_H15e ]. % 11.54/11.71 apply (zenon_L1070_); trivial. % 11.54/11.71 apply (zenon_L474_); trivial. % 11.54/11.71 exact (zenon_H9e zenon_H9d). % 11.54/11.71 apply (zenon_L474_); trivial. % 11.54/11.71 (* end of lemma zenon_L1071_ *) % 11.54/11.71 assert (zenon_L1072_ : (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e3)) -> False). % 11.54/11.71 do 0 intro. intros zenon_Hf0 zenon_Hc3 zenon_H15d zenon_H1e5 zenon_Hb1 zenon_He5 zenon_H147. % 11.54/11.71 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf1 ]. % 11.54/11.71 apply (zenon_L548_); trivial. % 11.54/11.71 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_He7 | zenon_intro zenon_Hf2 ]. % 11.54/11.71 exact (zenon_H1e5 zenon_He7). % 11.54/11.71 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_Hb4 | zenon_intro zenon_Hed ]. % 11.54/11.71 exact (zenon_Hb1 zenon_Hb4). % 11.54/11.71 apply (zenon_L132_); trivial. % 11.54/11.71 (* end of lemma zenon_L1072_ *) % 11.54/11.71 assert (zenon_L1073_ : (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e3) (e1)) = (e2)) -> ((op (e3) (e0)) = (e1)) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e3)) -> False). % 11.54/11.71 do 0 intro. intros zenon_Hf0 zenon_Ha4 zenon_H99 zenon_H1e5 zenon_Hb1 zenon_He5 zenon_H147. % 11.54/11.71 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf1 ]. % 11.54/11.71 apply (zenon_L45_); trivial. % 11.54/11.71 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_He7 | zenon_intro zenon_Hf2 ]. % 11.54/11.71 exact (zenon_H1e5 zenon_He7). % 11.54/11.71 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_Hb4 | zenon_intro zenon_Hed ]. % 11.54/11.71 exact (zenon_Hb1 zenon_Hb4). % 11.54/11.71 apply (zenon_L132_); trivial. % 11.54/11.71 (* end of lemma zenon_L1073_ *) % 11.54/11.71 assert (zenon_L1074_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> ((op (e3) (e0)) = (e1)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e2))) -> False). % 11.54/11.71 do 0 intro. intros zenon_Hb0 zenon_H30 zenon_H147 zenon_He5 zenon_H1e5 zenon_H99 zenon_Hf0 zenon_H5a zenon_Had zenon_Hb1. % 11.54/11.71 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H9a | zenon_intro zenon_Hb2 ]. % 11.54/11.71 apply (zenon_L41_); trivial. % 11.54/11.71 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Hb3 ]. % 11.54/11.71 apply (zenon_L1073_); trivial. % 11.54/11.71 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_Hae | zenon_intro zenon_Hb4 ]. % 11.54/11.71 apply (zenon_L46_); trivial. % 11.54/11.71 exact (zenon_Hb1 zenon_Hb4). % 11.54/11.71 (* end of lemma zenon_L1074_ *) % 11.54/11.71 assert (zenon_L1075_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e3) (e1)) = (e2)) -> ((op (e3) (e1)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> False). % 11.54/11.71 do 0 intro. intros zenon_H1df zenon_H15d zenon_Hb1 zenon_Had zenon_H5a zenon_Hf0 zenon_H1e5 zenon_He5 zenon_H30 zenon_Hb0 zenon_Ha4 zenon_H147 zenon_H16a. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H1e0 ]. % 11.54/11.71 apply (zenon_L1072_); trivial. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H99 | zenon_intro zenon_H1e1 ]. % 11.54/11.71 apply (zenon_L1074_); trivial. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H9a | zenon_intro zenon_H15e ]. % 11.54/11.71 apply (zenon_L268_); trivial. % 11.54/11.71 apply (zenon_L474_); trivial. % 11.54/11.71 (* end of lemma zenon_L1075_ *) % 11.54/11.71 assert (zenon_L1076_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> False). % 11.54/11.71 do 0 intro. intros zenon_H106 zenon_H1f zenon_H68 zenon_Hc8 zenon_H1df zenon_H15d zenon_Hb1 zenon_Had zenon_H5a zenon_Hf0 zenon_H1e5 zenon_He5 zenon_H30 zenon_Hb0 zenon_H147 zenon_H16a. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H2c | zenon_intro zenon_H109 ]. % 11.54/11.71 apply (zenon_L211_); trivial. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H6c | zenon_intro zenon_H10a ]. % 11.54/11.71 exact (zenon_H68 zenon_H6c). % 11.54/11.71 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Ha4 ]. % 11.54/11.71 apply (zenon_L54_); trivial. % 11.54/11.71 apply (zenon_L1075_); trivial. % 11.54/11.71 (* end of lemma zenon_L1076_ *) % 11.54/11.71 assert (zenon_L1077_ : (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e3)) -> False). % 11.54/11.71 do 0 intro. intros zenon_Hf0 zenon_H72 zenon_H13a zenon_H1e5 zenon_Hb1 zenon_He5 zenon_H147. % 11.54/11.71 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf1 ]. % 11.54/11.71 apply (zenon_L466_); trivial. % 11.54/11.71 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_He7 | zenon_intro zenon_Hf2 ]. % 11.54/11.71 exact (zenon_H1e5 zenon_He7). % 11.54/11.71 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_Hb4 | zenon_intro zenon_Hed ]. % 11.54/11.71 exact (zenon_Hb1 zenon_Hb4). % 11.54/11.71 apply (zenon_L132_); trivial. % 11.54/11.71 (* end of lemma zenon_L1077_ *) % 11.54/11.71 assert (zenon_L1078_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e3) (e1)) = (e3)) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e3)) = (e0)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e3) (e3)) = (e1))) -> False). % 11.54/11.71 do 0 intro. intros zenon_H1f0 zenon_Hb1 zenon_Had zenon_Hf0 zenon_He5 zenon_H30 zenon_Hb0 zenon_H147 zenon_H3c zenon_H3b zenon_H13f zenon_H5a zenon_H5c zenon_H125 zenon_H7a zenon_H228 zenon_H245 zenon_H1e5. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H99 | zenon_intro zenon_H1f1 ]. % 11.54/11.71 apply (zenon_L1074_); trivial. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_He6 | zenon_intro zenon_H1f2 ]. % 11.54/11.71 apply (zenon_L157_); trivial. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H1d9 | zenon_intro zenon_He7 ]. % 11.54/11.71 apply (zenon_L513_); trivial. % 11.54/11.71 exact (zenon_H1e5 zenon_He7). % 11.54/11.71 (* end of lemma zenon_L1078_ *) % 11.54/11.71 assert (zenon_L1079_ : (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e0)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e3)) -> False). % 11.54/11.71 do 0 intro. intros zenon_Hf0 zenon_H96 zenon_He3 zenon_H1e5 zenon_Hb1 zenon_He5 zenon_H147. % 11.54/11.71 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf1 ]. % 11.54/11.71 apply (zenon_L71_); trivial. % 11.54/11.71 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_He7 | zenon_intro zenon_Hf2 ]. % 11.54/11.71 exact (zenon_H1e5 zenon_He7). % 11.54/11.71 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_Hb4 | zenon_intro zenon_Hed ]. % 11.54/11.71 exact (zenon_Hb1 zenon_Hb4). % 11.54/11.71 apply (zenon_L132_); trivial. % 11.54/11.71 (* end of lemma zenon_L1079_ *) % 11.54/11.71 assert (zenon_L1080_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e2)) -> ((op (e3) (e3)) = (e0)) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e3) (e1)) = (e3)) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e1))) -> False). % 11.54/11.71 do 0 intro. intros zenon_H1f0 zenon_Hb1 zenon_Had zenon_H5a zenon_H9d zenon_H30 zenon_Hb0 zenon_H147 zenon_H3c zenon_H2e zenon_H101 zenon_H1e5. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H99 | zenon_intro zenon_H1f1 ]. % 11.54/11.71 apply (zenon_L47_); trivial. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_He6 | zenon_intro zenon_H1f2 ]. % 11.54/11.71 apply (zenon_L157_); trivial. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H1d9 | zenon_intro zenon_He7 ]. % 11.54/11.71 apply (zenon_L476_); trivial. % 11.54/11.71 exact (zenon_H1e5 zenon_He7). % 11.54/11.71 (* end of lemma zenon_L1080_ *) % 11.54/11.71 assert (zenon_L1081_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e3) (e1)) = (e3)) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e1))) -> False). % 11.54/11.71 do 0 intro. intros zenon_Hb9 zenon_H13a zenon_H245 zenon_H228 zenon_H125 zenon_H5c zenon_H13f zenon_H3b zenon_He5 zenon_He3 zenon_Hf0 zenon_H1f0 zenon_Hb1 zenon_Had zenon_H5a zenon_H30 zenon_Hb0 zenon_H147 zenon_H3c zenon_H2e zenon_H101 zenon_H1e5. % 11.54/11.71 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H72 | zenon_intro zenon_Hbe ]. % 11.54/11.71 apply (zenon_L1077_); trivial. % 11.54/11.71 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H7a | zenon_intro zenon_Hbf ]. % 11.54/11.71 apply (zenon_L1078_); trivial. % 11.54/11.71 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H96 | zenon_intro zenon_H9d ]. % 11.54/11.71 apply (zenon_L1079_); trivial. % 11.54/11.71 apply (zenon_L1080_); trivial. % 11.54/11.71 (* end of lemma zenon_L1081_ *) % 11.54/11.71 assert (zenon_L1082_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((e0) = (e2))) -> ((op (e0) (e3)) = (e3)) -> (~((e2) = (e3))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e3) (e1)) = (e3)) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e1))) -> False). % 11.54/11.71 do 0 intro. intros zenon_Hb9 zenon_H13a zenon_H192 zenon_H27 zenon_H40 zenon_H41 zenon_H197 zenon_He5 zenon_He3 zenon_Hf0 zenon_H1f0 zenon_Hb1 zenon_Had zenon_H5a zenon_H30 zenon_Hb0 zenon_H147 zenon_H3c zenon_H2e zenon_H101 zenon_H1e5. % 11.54/11.71 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H72 | zenon_intro zenon_Hbe ]. % 11.54/11.71 apply (zenon_L1077_); trivial. % 11.54/11.71 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H7a | zenon_intro zenon_Hbf ]. % 11.54/11.71 apply (zenon_L781_); trivial. % 11.54/11.71 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H96 | zenon_intro zenon_H9d ]. % 11.54/11.71 apply (zenon_L1079_); trivial. % 11.54/11.71 apply (zenon_L1080_); trivial. % 11.54/11.71 (* end of lemma zenon_L1082_ *) % 11.54/11.71 assert (zenon_L1083_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((e0) = (e2))) -> (~((e2) = (e3))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e3) (e1)) = (e3)) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e1))) -> False). % 11.54/11.71 do 0 intro. intros zenon_H44 zenon_H34 zenon_H25 zenon_H222 zenon_H13f zenon_H5c zenon_H125 zenon_H228 zenon_H245 zenon_Hb9 zenon_H13a zenon_H192 zenon_H27 zenon_H41 zenon_H197 zenon_He5 zenon_He3 zenon_Hf0 zenon_H1f0 zenon_Hb1 zenon_Had zenon_H5a zenon_H30 zenon_Hb0 zenon_H147 zenon_H3c zenon_H2e zenon_H101 zenon_H1e5. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.54/11.71 apply (zenon_L7_); trivial. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.54/11.71 apply (zenon_L714_); trivial. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.54/11.71 apply (zenon_L1081_); trivial. % 11.54/11.71 apply (zenon_L1082_); trivial. % 11.54/11.71 (* end of lemma zenon_L1083_ *) % 11.54/11.71 assert (zenon_L1084_ : (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e0) (e3)) = (e1)) -> (~((e2) = (e3))) -> ((op (e1) (e3)) = (e3)) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> False). % 11.54/11.71 do 0 intro. intros zenon_H197 zenon_H30 zenon_H47 zenon_H41 zenon_H8b zenon_H5a zenon_H192 zenon_Hb1. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H197); [ zenon_intro zenon_H3f | zenon_intro zenon_H198 ]. % 11.54/11.71 apply (zenon_L15_); trivial. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H62 | zenon_intro zenon_H199 ]. % 11.54/11.71 apply (zenon_L465_); trivial. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H18a | zenon_intro zenon_Hb4 ]. % 11.54/11.71 apply (zenon_L186_); trivial. % 11.54/11.71 exact (zenon_Hb1 zenon_Hb4). % 11.54/11.71 (* end of lemma zenon_L1084_ *) % 11.54/11.71 assert (zenon_L1085_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e3)) -> ((op (e0) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e0) (e3)) = (e1)) -> (~((e2) = (e3))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> False). % 11.54/11.71 do 0 intro. intros zenon_H8d zenon_H3c zenon_H6d zenon_H1f3 zenon_H147 zenon_H3b zenon_H13f zenon_H197 zenon_H30 zenon_H47 zenon_H41 zenon_H5a zenon_H192 zenon_Hb1. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H75 | zenon_intro zenon_H8e ]. % 11.54/11.71 apply (zenon_L123_); trivial. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H78 | zenon_intro zenon_H8f ]. % 11.54/11.71 apply (zenon_L1005_); trivial. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H8b ]. % 11.54/11.71 apply (zenon_L119_); trivial. % 11.54/11.71 apply (zenon_L1084_); trivial. % 11.54/11.71 (* end of lemma zenon_L1085_ *) % 11.54/11.71 assert (zenon_L1086_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e3) (e1)) = (e3)) -> (~((e1) = (e3))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e1))) -> False). % 11.54/11.71 do 0 intro. intros zenon_H1f0 zenon_Hb1 zenon_Had zenon_H5a zenon_Hf0 zenon_He5 zenon_H30 zenon_Hb0 zenon_H147 zenon_H3c zenon_H88 zenon_H125 zenon_H1e5. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H99 | zenon_intro zenon_H1f1 ]. % 11.54/11.71 apply (zenon_L1074_); trivial. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_He6 | zenon_intro zenon_H1f2 ]. % 11.54/11.71 apply (zenon_L157_); trivial. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H1d9 | zenon_intro zenon_He7 ]. % 11.54/11.71 apply (zenon_L393_); trivial. % 11.54/11.71 exact (zenon_H1e5 zenon_He7). % 11.54/11.71 (* end of lemma zenon_L1086_ *) % 11.54/11.71 assert (zenon_L1087_ : ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e3)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (~((e1) = (e3))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> False). % 11.54/11.71 do 0 intro. intros zenon_H138 zenon_H1d8 zenon_Hb0 zenon_H5a zenon_Had zenon_H1e5 zenon_He5 zenon_H147 zenon_Hf0 zenon_H30 zenon_H3c zenon_H125 zenon_H88 zenon_H1f0. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hec ]. % 11.54/11.71 apply (zenon_L1086_); trivial. % 11.54/11.71 apply (zenon_L279_); trivial. % 11.54/11.71 (* end of lemma zenon_L1087_ *) % 11.54/11.71 assert (zenon_L1088_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e1)) = (e2)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e3)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e2))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (e1))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e3))) -> False). % 11.54/11.71 do 0 intro. intros zenon_H44 zenon_H2c zenon_H222 zenon_H61 zenon_H138 zenon_H1d8 zenon_Hb0 zenon_H5a zenon_Had zenon_H1e5 zenon_He5 zenon_H147 zenon_Hf0 zenon_H30 zenon_H125 zenon_H1f0 zenon_H54 zenon_H8d zenon_H1f3 zenon_H13f zenon_H197 zenon_H41 zenon_H192 zenon_Hb1 zenon_H92 zenon_H47 zenon_H3c. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.54/11.71 apply (zenon_L64_); trivial. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.54/11.71 apply (zenon_L714_); trivial. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H6d | zenon_intro zenon_H93 ]. % 11.54/11.71 apply (zenon_L1085_); trivial. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H56 | zenon_intro zenon_H94 ]. % 11.54/11.71 exact (zenon_H54 zenon_H56). % 11.54/11.71 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H88 | zenon_intro zenon_H90 ]. % 11.54/11.71 apply (zenon_L1087_); trivial. % 11.54/11.71 apply (zenon_L127_); trivial. % 11.54/11.71 apply (zenon_L14_); trivial. % 11.54/11.71 (* end of lemma zenon_L1088_ *) % 11.54/11.71 assert (zenon_L1089_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e1) = (e3))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((e2) = (e3))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (e1))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e2))) -> False). % 11.54/11.71 do 0 intro. intros zenon_H49 zenon_H2b zenon_H3c zenon_H92 zenon_Hb1 zenon_H192 zenon_H41 zenon_H197 zenon_H13f zenon_H1f3 zenon_H8d zenon_H54 zenon_H1f0 zenon_H125 zenon_Hf0 zenon_H147 zenon_He5 zenon_H1e5 zenon_Had zenon_Hb0 zenon_H1d8 zenon_H138 zenon_H61 zenon_H222 zenon_H44 zenon_H65 zenon_H5a zenon_H47 zenon_H30. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H26 | zenon_intro zenon_H4a ]. % 11.54/11.71 exact (zenon_H2b zenon_H26). % 11.54/11.71 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2c | zenon_intro zenon_H4b ]. % 11.54/11.71 apply (zenon_L1088_); trivial. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 11.54/11.71 apply (zenon_L23_); trivial. % 11.54/11.71 apply (zenon_L15_); trivial. % 11.54/11.71 (* end of lemma zenon_L1089_ *) % 11.54/11.71 assert (zenon_L1090_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (e2))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e0) = (e2))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e0)) = (e0)) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e1) = (e3))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((e2) = (e3))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (e1))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((e1) = (e2))) -> False). % 11.54/11.71 do 0 intro. intros zenon_H4c zenon_H20 zenon_H16a zenon_H15d zenon_H1df zenon_Hc8 zenon_H68 zenon_H106 zenon_H101 zenon_He3 zenon_H27 zenon_H13a zenon_Hb9 zenon_H245 zenon_H228 zenon_H5c zenon_H25 zenon_H34 zenon_H49 zenon_H2b zenon_H3c zenon_H92 zenon_Hb1 zenon_H192 zenon_H41 zenon_H197 zenon_H13f zenon_H1f3 zenon_H8d zenon_H54 zenon_H1f0 zenon_H125 zenon_Hf0 zenon_H147 zenon_He5 zenon_H1e5 zenon_Had zenon_Hb0 zenon_H1d8 zenon_H138 zenon_H61 zenon_H222 zenon_H44 zenon_H65 zenon_H5a zenon_H30. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.54/11.71 apply (zenon_L129_); trivial. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.54/11.71 apply (zenon_L1076_); trivial. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.54/11.71 apply (zenon_L1083_); trivial. % 11.54/11.71 apply (zenon_L1089_); trivial. % 11.54/11.71 (* end of lemma zenon_L1090_ *) % 11.54/11.71 assert (zenon_L1091_ : (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (e2))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> False). % 11.54/11.71 do 0 intro. intros zenon_H15a zenon_H57 zenon_H1ca zenon_H54 zenon_H68 zenon_H147 zenon_H1f3. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H10c | zenon_intro zenon_H15b ]. % 11.54/11.71 apply (zenon_L232_); trivial. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H56 | zenon_intro zenon_H15c ]. % 11.54/11.71 exact (zenon_H54 zenon_H56). % 11.54/11.71 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_H6c | zenon_intro zenon_H78 ]. % 11.54/11.71 exact (zenon_H68 zenon_H6c). % 11.54/11.71 apply (zenon_L1005_); trivial. % 11.54/11.71 (* end of lemma zenon_L1091_ *) % 11.54/11.71 assert (zenon_L1092_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e1)) -> (~((e1) = (e3))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e2) (e0)) = (e0)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e2))) -> False). % 11.54/11.71 do 0 intro. intros zenon_Hb7 zenon_H4d zenon_H101 zenon_H2e zenon_H3c zenon_H212 zenon_H1f0 zenon_H20 zenon_H6e zenon_Hb0 zenon_H30 zenon_H147 zenon_He5 zenon_H1e5 zenon_Hf0 zenon_H5a zenon_Had zenon_Hb1. % 11.54/11.71 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ]. % 11.54/11.71 exact (zenon_H4d zenon_H4f). % 11.54/11.71 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ]. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H99 | zenon_intro zenon_H1f1 ]. % 11.54/11.71 apply (zenon_L331_); trivial. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_He6 | zenon_intro zenon_H1f2 ]. % 11.54/11.71 apply (zenon_L157_); trivial. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H1d9 | zenon_intro zenon_He7 ]. % 11.54/11.71 apply (zenon_L476_); trivial. % 11.54/11.71 exact (zenon_H1e5 zenon_He7). % 11.54/11.71 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ]. % 11.54/11.71 apply (zenon_L29_); trivial. % 11.54/11.71 apply (zenon_L1074_); trivial. % 11.54/11.71 (* end of lemma zenon_L1092_ *) % 11.54/11.71 assert (zenon_L1093_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((op (e2) (e0)) = (e0)) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e2))) -> False). % 11.54/11.71 do 0 intro. intros zenon_H4c zenon_H16a zenon_H15d zenon_H1df zenon_H6e zenon_H20 zenon_H1f0 zenon_H212 zenon_H101 zenon_Hb7 zenon_H4d zenon_H8d zenon_H1f3 zenon_H13f zenon_H197 zenon_H41 zenon_H192 zenon_H222 zenon_H106 zenon_H68 zenon_Hc8 zenon_H44 zenon_H3c zenon_Hc4 zenon_H54 zenon_H71 zenon_H105 zenon_Hb0 zenon_H30 zenon_H147 zenon_He5 zenon_H1e5 zenon_Hf0 zenon_H5a zenon_Had zenon_Hb1. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.54/11.71 exact (zenon_H4d zenon_H4f). % 11.54/11.71 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.54/11.71 apply (zenon_L1076_); trivial. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.54/11.71 apply (zenon_L1092_); trivial. % 11.54/11.71 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ]. % 11.54/11.71 exact (zenon_H4d zenon_H4f). % 11.54/11.71 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ]. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H2c | zenon_intro zenon_H109 ]. % 11.54/11.71 apply (zenon_L64_); trivial. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H6c | zenon_intro zenon_H10a ]. % 11.54/11.71 exact (zenon_H68 zenon_H6c). % 11.54/11.71 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Ha4 ]. % 11.54/11.71 apply (zenon_L54_); trivial. % 11.54/11.71 apply (zenon_L609_); trivial. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.54/11.71 apply (zenon_L714_); trivial. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.54/11.71 apply (zenon_L1085_); trivial. % 11.54/11.71 apply (zenon_L14_); trivial. % 11.54/11.71 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ]. % 11.54/11.71 apply (zenon_L200_); trivial. % 11.54/11.71 apply (zenon_L1074_); trivial. % 11.54/11.71 (* end of lemma zenon_L1093_ *) % 11.54/11.71 assert (zenon_L1094_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (e2))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((e2) = (e3))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e3)) -> False). % 11.54/11.71 do 0 intro. intros zenon_H12d zenon_H1b8 zenon_Hd0 zenon_H1ca zenon_H15a zenon_Had zenon_H5a zenon_H30 zenon_Hb0 zenon_H105 zenon_H71 zenon_H54 zenon_Hc4 zenon_H3c zenon_H44 zenon_Hc8 zenon_H68 zenon_H106 zenon_H222 zenon_H192 zenon_H41 zenon_H197 zenon_H13f zenon_H1f3 zenon_H8d zenon_H4d zenon_Hb7 zenon_H101 zenon_H212 zenon_H1f0 zenon_H20 zenon_H1df zenon_H16a zenon_H4c zenon_Hf0 zenon_H15d zenon_H1e5 zenon_Hb1 zenon_He5 zenon_H147. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H25 | zenon_intro zenon_H12e ]. % 11.54/11.71 apply (zenon_L221_); trivial. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H57 | zenon_intro zenon_H12f ]. % 11.54/11.71 apply (zenon_L1091_); trivial. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H6e | zenon_intro zenon_Hc3 ]. % 11.54/11.71 apply (zenon_L1093_); trivial. % 11.54/11.71 apply (zenon_L1072_); trivial. % 11.54/11.71 (* end of lemma zenon_L1094_ *) % 11.54/11.71 assert (zenon_L1095_ : ((~((op (e3) (e3)) = (e1)))\/(~((op (e3) (e1)) = (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((op (e3) (e1)) = (e3)) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (e1))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((e0) = (e1))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((e0) = (e2))) -> (~((e2) = (e3))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))\/((((op (e1) (e1)) = (e1))/\(((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0)))/\(((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1)))/\(((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2)))/\((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3)))))))\/((((op (e2) (e2)) = (e2))/\(((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0)))/\(((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3)))))))\/(((op (e3) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3)))))))))) -> False). % 11.54/11.71 do 0 intro. intros zenon_H273 zenon_H122 zenon_Hf0 zenon_He5 zenon_H15d zenon_H16a zenon_H1df zenon_H147 zenon_H34 zenon_H1e2 zenon_H54 zenon_H12d zenon_H4d zenon_Hb7 zenon_H212 zenon_H71 zenon_Hc4 zenon_H105 zenon_H1ca zenon_H15a zenon_H20 zenon_H106 zenon_Hb0 zenon_Had zenon_Hc8 zenon_H30 zenon_H44 zenon_H197 zenon_H192 zenon_H27 zenon_H41 zenon_H13a zenon_H1f0 zenon_H228 zenon_H125 zenon_H5c zenon_H13f zenon_H245 zenon_H3c zenon_He3 zenon_H101 zenon_Hb9 zenon_H222 zenon_H49 zenon_H65 zenon_H92 zenon_H61 zenon_H1d8 zenon_H1f3 zenon_H8d zenon_H4c zenon_H1b8 zenon_H1b0. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H1e5 | zenon_intro zenon_H274 ]. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H51 | zenon_intro zenon_H1b1 ]. % 11.54/11.71 apply (zenon_L1071_); trivial. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H53 | zenon_intro zenon_H1b2 ]. % 11.54/11.71 apply (zenon_L19_); trivial. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H132 | zenon_intro zenon_H15f ]. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H5a. zenon_intro zenon_H133. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H135. zenon_intro zenon_H134. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H137. zenon_intro zenon_H136. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_H139. zenon_intro zenon_H138. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H2b | zenon_intro zenon_Hd0 ]. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H68 | zenon_intro zenon_H88 ]. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hec ]. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H25 | zenon_intro zenon_H12e ]. % 11.54/11.71 apply (zenon_L1090_); trivial. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H57 | zenon_intro zenon_H12f ]. % 11.54/11.71 apply (zenon_L1091_); trivial. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H6e | zenon_intro zenon_Hc3 ]. % 11.54/11.71 apply (zenon_L1093_); trivial. % 11.54/11.71 apply (zenon_L1072_); trivial. % 11.54/11.71 apply (zenon_L279_); trivial. % 11.54/11.71 apply (zenon_L1087_); trivial. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H68 | zenon_intro zenon_H88 ]. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hec ]. % 11.54/11.71 apply (zenon_L1094_); trivial. % 11.54/11.71 apply (zenon_L279_); trivial. % 11.54/11.71 apply (zenon_L1087_); trivial. % 11.54/11.71 apply (zenon_L370_); trivial. % 11.54/11.71 exact (zenon_H274 zenon_H147). % 11.54/11.71 (* end of lemma zenon_L1095_ *) % 11.54/11.71 assert (zenon_L1096_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e3)) -> (~((e2) = (e3))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e3)) -> False). % 11.54/11.71 do 0 intro. intros zenon_H167 zenon_H34 zenon_H6e zenon_H1cb zenon_H147 zenon_H41 zenon_H5a zenon_H16e zenon_H40. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H152 | zenon_intro zenon_H168 ]. % 11.54/11.71 apply (zenon_L161_); trivial. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H145 | zenon_intro zenon_H169 ]. % 11.54/11.71 apply (zenon_L643_); trivial. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_He1 | zenon_intro zenon_H164 ]. % 11.54/11.71 apply (zenon_L70_); trivial. % 11.54/11.71 apply (zenon_L667_); trivial. % 11.54/11.71 (* end of lemma zenon_L1096_ *) % 11.54/11.71 assert (zenon_L1097_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e0) (e0)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e2)) = (e0)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e3)) -> (~((e2) = (e3))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False). % 11.54/11.71 do 0 intro. intros zenon_H44 zenon_H3c zenon_H4f zenon_H222 zenon_Hd0 zenon_H167 zenon_H34 zenon_H6e zenon_H1cb zenon_H147 zenon_H41 zenon_H5a zenon_H16e. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.54/11.71 apply (zenon_L58_); trivial. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.54/11.71 apply (zenon_L714_); trivial. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.54/11.71 apply (zenon_L59_); trivial. % 11.54/11.71 apply (zenon_L1096_); trivial. % 11.54/11.71 (* end of lemma zenon_L1097_ *) % 11.54/11.71 assert (zenon_L1098_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((e2) = (e3))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e0) (e2)) = (e0)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e0) = (e3))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e0) = (e1))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e1)) = (e3)) -> False). % 11.54/11.71 do 0 intro. intros zenon_H12d zenon_H1b8 zenon_H1ca zenon_H15a zenon_Had zenon_H5a zenon_H30 zenon_Hb0 zenon_H105 zenon_H71 zenon_H54 zenon_Hc4 zenon_H3c zenon_H44 zenon_H259 zenon_H271 zenon_Hcb zenon_H222 zenon_H192 zenon_H41 zenon_H197 zenon_H13f zenon_H1f3 zenon_H8d zenon_Hd0 zenon_H167 zenon_H34 zenon_H1cb zenon_H16e zenon_Hb7 zenon_H20 zenon_H106 zenon_H68 zenon_Hc8 zenon_H1df zenon_H16a zenon_H4c zenon_Hf0 zenon_H15d zenon_H1e5 zenon_Hb1 zenon_He5 zenon_H147. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H25 | zenon_intro zenon_H12e ]. % 11.54/11.71 apply (zenon_L221_); trivial. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H57 | zenon_intro zenon_H12f ]. % 11.54/11.71 apply (zenon_L1091_); trivial. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H6e | zenon_intro zenon_Hc3 ]. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 11.54/11.71 apply (zenon_L1097_); trivial. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H1f | zenon_intro zenon_H50 ]. % 11.54/11.71 apply (zenon_L1076_); trivial. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H2e | zenon_intro zenon_H47 ]. % 11.54/11.71 apply (zenon_L61_); trivial. % 11.54/11.71 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H4f | zenon_intro zenon_Hba ]. % 11.54/11.71 apply (zenon_L1097_); trivial. % 11.54/11.71 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H6d | zenon_intro zenon_Hbb ]. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H33 | zenon_intro zenon_H45 ]. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H1f | zenon_intro zenon_H107 ]. % 11.54/11.71 apply (zenon_L199_); trivial. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H56 | zenon_intro zenon_H108 ]. % 11.54/11.71 exact (zenon_H54 zenon_H56). % 11.54/11.71 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hc5 | zenon_intro zenon_He6 ]. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H1e | zenon_intro zenon_H25a ]. % 11.54/11.71 exact (zenon_H271 zenon_H1e). % 11.54/11.71 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H1f | zenon_intro zenon_H25b ]. % 11.54/11.71 apply (zenon_L330_); trivial. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H2c | zenon_intro zenon_H39 ]. % 11.54/11.71 apply (zenon_L64_); trivial. % 11.54/11.71 apply (zenon_L714_); trivial. % 11.54/11.71 apply (zenon_L157_); trivial. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 11.54/11.71 apply (zenon_L714_); trivial. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H40 ]. % 11.54/11.71 apply (zenon_L1085_); trivial. % 11.54/11.71 apply (zenon_L14_); trivial. % 11.54/11.71 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H6f | zenon_intro zenon_H99 ]. % 11.54/11.71 apply (zenon_L200_); trivial. % 11.54/11.71 apply (zenon_L1074_); trivial. % 11.54/11.71 apply (zenon_L1072_); trivial. % 11.54/11.71 (* end of lemma zenon_L1098_ *) % 11.54/11.71 assert (zenon_L1099_ : ((~((op (e3) (e3)) = (e1)))\/(~((op (e3) (e1)) = (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/((op (e3) (e0)) = (e3))))) -> ((op (e3) (e1)) = (e3)) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (e1))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e1)) = (e0))) -> (~((e0) = (e1))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((e0) = (e2))) -> (~((e2) = (e3))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((((op (e0) (e0)) = (e0))/\(((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))))))\/((((op (e1) (e1)) = (e1))/\(((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0)))/\(((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1)))/\(((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2)))/\((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3)))))))\/((((op (e2) (e2)) = (e2))/\(((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0)))/\(((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3)))))))\/(((op (e3) (e3)) = (e3))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3)))))))))) -> False). % 11.54/11.71 do 0 intro. intros zenon_H273 zenon_H122 zenon_Hf0 zenon_He5 zenon_H15d zenon_H16a zenon_H1df zenon_H147 zenon_H34 zenon_H1e2 zenon_H54 zenon_H18f zenon_H1b8 zenon_H15a zenon_H1ca zenon_H71 zenon_H259 zenon_Hcb zenon_H105 zenon_Hc4 zenon_Hb7 zenon_H167 zenon_H16e zenon_H1cb zenon_H12d zenon_H271 zenon_H20 zenon_H106 zenon_Hb0 zenon_Had zenon_Hc8 zenon_H30 zenon_H44 zenon_H197 zenon_H192 zenon_H27 zenon_H41 zenon_H13a zenon_H1f0 zenon_H228 zenon_H125 zenon_H5c zenon_H13f zenon_H245 zenon_H3c zenon_He3 zenon_H101 zenon_Hb9 zenon_H222 zenon_H49 zenon_H65 zenon_H92 zenon_H61 zenon_H1d8 zenon_H1f3 zenon_H8d zenon_H4c zenon_H1b0. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H1e5 | zenon_intro zenon_H274 ]. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H51 | zenon_intro zenon_H1b1 ]. % 11.54/11.71 apply (zenon_L1071_); trivial. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H53 | zenon_intro zenon_H1b2 ]. % 11.54/11.71 apply (zenon_L19_); trivial. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H132 | zenon_intro zenon_H15f ]. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H5a. zenon_intro zenon_H133. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H135. zenon_intro zenon_H134. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H137. zenon_intro zenon_H136. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_H139. zenon_intro zenon_H138. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H2b | zenon_intro zenon_Hd0 ]. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H68 | zenon_intro zenon_H88 ]. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hec ]. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H25 | zenon_intro zenon_H190 ]. % 11.54/11.71 apply (zenon_L1090_); trivial. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H1e | zenon_intro zenon_H191 ]. % 11.54/11.71 exact (zenon_H271 zenon_H1e). % 11.54/11.71 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H72 ]. % 11.54/11.71 apply (zenon_L1098_); trivial. % 11.54/11.71 apply (zenon_L1077_); trivial. % 11.54/11.71 apply (zenon_L279_); trivial. % 11.54/11.71 apply (zenon_L1087_); trivial. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H68 | zenon_intro zenon_H88 ]. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hec ]. % 11.54/11.71 apply (zenon_L1098_); trivial. % 11.54/11.71 apply (zenon_L279_); trivial. % 11.54/11.71 apply (zenon_L1087_); trivial. % 11.54/11.71 apply (zenon_L370_); trivial. % 11.54/11.71 exact (zenon_H274 zenon_H147). % 11.54/11.71 (* end of lemma zenon_L1099_ *) % 11.54/11.71 apply (zenon_and_s _ _ ax1). zenon_intro zenon_H276. zenon_intro zenon_H275. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H275). zenon_intro zenon_H259. zenon_intro zenon_H277. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H277). zenon_intro zenon_H279. zenon_intro zenon_H278. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H278). zenon_intro zenon_H255. zenon_intro zenon_H27a. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H27a). zenon_intro zenon_H26d. zenon_intro zenon_H27b. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H27b). zenon_intro zenon_H15a. zenon_intro zenon_H27c. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H27c). zenon_intro zenon_H245. zenon_intro zenon_H27d. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H27d). zenon_intro zenon_H154. zenon_intro zenon_H27e. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H27e). zenon_intro zenon_H242. zenon_intro zenon_H27f. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H27f). zenon_intro zenon_H263. zenon_intro zenon_H280. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H280). zenon_intro zenon_H19c. zenon_intro zenon_H281. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H281). zenon_intro zenon_H194. zenon_intro zenon_H282. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H282). zenon_intro zenon_H1df. zenon_intro zenon_H283. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H283). zenon_intro zenon_H223. zenon_intro zenon_H284. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H1db. zenon_intro zenon_Hf0. % 11.54/11.71 apply (zenon_and_s _ _ ax2). zenon_intro zenon_H18f. zenon_intro zenon_H285. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H12d. zenon_intro zenon_H286. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H286). zenon_intro zenon_H4c. zenon_intro zenon_H287. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_Hb7. zenon_intro zenon_H288. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H49. zenon_intro zenon_H289. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_Hb8. zenon_intro zenon_H28a. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_H44. zenon_intro zenon_H28b. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H161. zenon_intro zenon_H28c. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H28c). zenon_intro zenon_H113. zenon_intro zenon_H28d. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H28d). zenon_intro zenon_H203. zenon_intro zenon_H28e. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H28e). zenon_intro zenon_H92. zenon_intro zenon_H28f. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H28f). zenon_intro zenon_H105. zenon_intro zenon_H290. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H290). zenon_intro zenon_H69. zenon_intro zenon_H291. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H291). zenon_intro zenon_H106. zenon_intro zenon_H292. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H292). zenon_intro zenon_H8d. zenon_intro zenon_H293. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H293). zenon_intro zenon_H148. zenon_intro zenon_H294. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H294). zenon_intro zenon_Hfa. zenon_intro zenon_H295. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H295). zenon_intro zenon_Hfb. zenon_intro zenon_H296. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H296). zenon_intro zenon_H11b. zenon_intro zenon_H297. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H297). zenon_intro zenon_H22e. zenon_intro zenon_H298. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H298). zenon_intro zenon_H1a2. zenon_intro zenon_H299. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H299). zenon_intro zenon_H19f. zenon_intro zenon_H29a. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H29a). zenon_intro zenon_H167. zenon_intro zenon_H29b. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_Hf3. zenon_intro zenon_H29c. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H29c). zenon_intro zenon_H122. zenon_intro zenon_H29d. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_Hb9. zenon_intro zenon_H29e. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H29e). zenon_intro zenon_H1f0. zenon_intro zenon_H29f. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H1d5. zenon_intro zenon_H2a0. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H2a0). zenon_intro zenon_Hb0. zenon_intro zenon_H2a1. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H197. zenon_intro zenon_H2a2. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H251. zenon_intro zenon_H236. % 11.54/11.71 apply (zenon_and_s _ _ ax3). zenon_intro zenon_H187. zenon_intro zenon_H2a3. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H2a3). zenon_intro zenon_H1aa. zenon_intro zenon_H2a4. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H2a4). zenon_intro zenon_H1e2. zenon_intro zenon_H2a5. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H2a5). zenon_intro zenon_H16c. zenon_intro zenon_H2a6. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H2a6). zenon_intro zenon_H212. zenon_intro zenon_H2a7. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H2a7). zenon_intro zenon_H226. zenon_intro zenon_H2a8. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H10b. zenon_intro zenon_H2a9. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H2a9). zenon_intro zenon_Hcb. zenon_intro zenon_H2aa. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H2aa). zenon_intro zenon_H222. zenon_intro zenon_H2ab. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H2ab). zenon_intro zenon_H157. zenon_intro zenon_H2ac. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H2ac). zenon_intro zenon_H1f3. zenon_intro zenon_H2ad. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H2ad). zenon_intro zenon_H1cb. zenon_intro zenon_H2ae. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H2ae). zenon_intro zenon_H13f. zenon_intro zenon_H2af. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H2af). zenon_intro zenon_H65. zenon_intro zenon_H2b0. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H2b0). zenon_intro zenon_H101. zenon_intro zenon_H2b1. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H2b1). zenon_intro zenon_H5c. zenon_intro zenon_H2b2. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H2b2). zenon_intro zenon_H125. zenon_intro zenon_H2b3. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_Had. zenon_intro zenon_H2b4. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H2b4). zenon_intro zenon_H61. zenon_intro zenon_H2b5. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H16e. zenon_intro zenon_H2b6. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H13a. zenon_intro zenon_H2b7. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H2b7). zenon_intro zenon_H117. zenon_intro zenon_H2b8. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H2b8). zenon_intro zenon_H141. zenon_intro zenon_H2b9. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H2b9). zenon_intro zenon_He3. zenon_intro zenon_H2ba. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H2ba). zenon_intro zenon_H2bc. zenon_intro zenon_H2bb. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H2bb). zenon_intro zenon_H1b8. zenon_intro zenon_H2bd. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H2bd). zenon_intro zenon_H2bf. zenon_intro zenon_H2be. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H2be). zenon_intro zenon_H130. zenon_intro zenon_H2c0. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H2c0). zenon_intro zenon_H71. zenon_intro zenon_H2c1. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H2c1). zenon_intro zenon_H210. zenon_intro zenon_H2c2. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H2c2). zenon_intro zenon_H1ca. zenon_intro zenon_H2c3. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H2c3). zenon_intro zenon_H10e. zenon_intro zenon_H2c4. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H2c4). zenon_intro zenon_H23c. zenon_intro zenon_H2c5. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H2c5). zenon_intro zenon_H216. zenon_intro zenon_H2c6. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H2c6). zenon_intro zenon_H14f. zenon_intro zenon_H2c7. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H2c7). zenon_intro zenon_H228. zenon_intro zenon_H2c8. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H2c8). zenon_intro zenon_Hc4. zenon_intro zenon_H2c9. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H2c9). zenon_intro zenon_Hc0. zenon_intro zenon_H2ca. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H2ca). zenon_intro zenon_H95. zenon_intro zenon_H2cb. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H2cb). zenon_intro zenon_Hc8. zenon_intro zenon_H2cc. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H2cc). zenon_intro zenon_H18b. zenon_intro zenon_H2cd. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H2cd). zenon_intro zenon_H192. zenon_intro zenon_H2ce. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H2ce). zenon_intro zenon_H16a. zenon_intro zenon_H2cf. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_Hf6. zenon_intro zenon_H2d0. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H2d0). zenon_intro zenon_H15d. zenon_intro zenon_H2d1. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H2d1). zenon_intro zenon_H1d8. zenon_intro zenon_H2d2. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H2d2). zenon_intro zenon_He5. zenon_intro zenon_Heb. % 11.54/11.71 apply (zenon_and_s _ _ ax4). zenon_intro zenon_H20. zenon_intro zenon_H2d3. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H2d3). zenon_intro zenon_H27. zenon_intro zenon_H2d4. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H2d4). zenon_intro zenon_H34. zenon_intro zenon_H2d5. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H2d5). zenon_intro zenon_H30. zenon_intro zenon_H2d6. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H2d6). zenon_intro zenon_H3c. zenon_intro zenon_H41. % 11.54/11.71 apply (zenon_and_s _ _ ax5). zenon_intro zenon_H2d7. zenon_intro zenon_H1b0. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H2d7); [ zenon_intro zenon_H2d9 | zenon_intro zenon_H2d8 ]. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H2d9). zenon_intro zenon_H25. zenon_intro zenon_H2da. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H2da). zenon_intro zenon_H2dc. zenon_intro zenon_H2db. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H234 | zenon_intro zenon_H234 ]. % 11.54/11.71 exact (zenon_H234 zenon_H25). % 11.54/11.71 exact (zenon_H234 zenon_H25). % 11.54/11.71 apply (zenon_or_s _ _ zenon_H2d8); [ zenon_intro zenon_H2de | zenon_intro zenon_H2dd ]. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H2de). zenon_intro zenon_H1e. zenon_intro zenon_H2df. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H2df). zenon_intro zenon_H2e1. zenon_intro zenon_H2e0. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H2e0). zenon_intro zenon_H2e3. zenon_intro zenon_H2e2. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H2e2). zenon_intro zenon_H1af. zenon_intro zenon_H273. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H4d | zenon_intro zenon_H271 ]. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H54 | zenon_intro zenon_H54 ]. % 11.54/11.71 apply (zenon_L220_); trivial. % 11.54/11.71 apply (zenon_L220_); trivial. % 11.54/11.71 exact (zenon_H271 zenon_H1e). % 11.54/11.71 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H2e5 | zenon_intro zenon_H2e4 ]. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H2e5). zenon_intro zenon_Hd0. zenon_intro zenon_H2e6. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H2e6). zenon_intro zenon_H2e8. zenon_intro zenon_H2e7. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H2e7). zenon_intro zenon_H22b. zenon_intro zenon_H2e9. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H2e9). zenon_intro zenon_H202. zenon_intro zenon_H200. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H2b | zenon_intro zenon_H260 ]. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H68 | zenon_intro zenon_H22c ]. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1c1 ]. % 11.54/11.71 apply (zenon_L425_); trivial. % 11.54/11.71 apply (zenon_L425_); trivial. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1c1 ]. % 11.54/11.71 apply (zenon_L450_); trivial. % 11.54/11.71 apply (zenon_L450_); trivial. % 11.54/11.71 exact (zenon_H260 zenon_Hd0). % 11.54/11.71 apply (zenon_or_s _ _ zenon_H2e4); [ zenon_intro zenon_H2eb | zenon_intro zenon_H2ea ]. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H2eb). zenon_intro zenon_H72. zenon_intro zenon_H2ec. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H2ec). zenon_intro zenon_H2ee. zenon_intro zenon_H2ed. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H2ed). zenon_intro zenon_H2f0. zenon_intro zenon_H2ef. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H2ef). zenon_intro zenon_H2f1. zenon_intro zenon_H26c. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H2ee); [ zenon_intro zenon_H38 | zenon_intro zenon_H26b ]. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H233 | zenon_intro zenon_H233 ]. % 11.54/11.71 apply (zenon_L457_); trivial. % 11.54/11.71 apply (zenon_L457_); trivial. % 11.54/11.71 exact (zenon_H26b zenon_H72). % 11.54/11.71 apply (zenon_or_s _ _ zenon_H2ea); [ zenon_intro zenon_H2f3 | zenon_intro zenon_H2f2 ]. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H2f3). zenon_intro zenon_H6d. zenon_intro zenon_H2da. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H2da). zenon_intro zenon_H2dc. zenon_intro zenon_H2db. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_H25c. zenon_intro zenon_H2f4. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H2f4). zenon_intro zenon_H25e. zenon_intro zenon_H25d. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H234 | zenon_intro zenon_H234 ]. % 11.54/11.71 apply (zenon_L602_); trivial. % 11.54/11.71 apply (zenon_L602_); trivial. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H2f6 | zenon_intro zenon_H2f5 ]. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H2f6). zenon_intro zenon_H56. zenon_intro zenon_H2df. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H2df). zenon_intro zenon_H2e1. zenon_intro zenon_H2e0. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H2e0). zenon_intro zenon_H2e3. zenon_intro zenon_H2e2. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H54 | zenon_intro zenon_H54 ]. % 11.54/11.71 exact (zenon_H54 zenon_H56). % 11.54/11.71 exact (zenon_H54 zenon_H56). % 11.54/11.71 apply (zenon_or_s _ _ zenon_H2f5); [ zenon_intro zenon_H2f8 | zenon_intro zenon_H2f7 ]. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H2f8). zenon_intro zenon_H88. zenon_intro zenon_H2e6. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H2e6). zenon_intro zenon_H2e8. zenon_intro zenon_H2e7. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H2e7). zenon_intro zenon_H22b. zenon_intro zenon_H2e9. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H2e9). zenon_intro zenon_H202. zenon_intro zenon_H200. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H2b | zenon_intro zenon_H260 ]. % 11.54/11.71 apply (zenon_L414_); trivial. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H68 | zenon_intro zenon_H22c ]. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1c1 ]. % 11.54/11.71 apply (zenon_L633_); trivial. % 11.54/11.71 apply (zenon_L633_); trivial. % 11.54/11.71 exact (zenon_H22c zenon_H88). % 11.54/11.71 apply (zenon_or_s _ _ zenon_H2f7); [ zenon_intro zenon_H2fa | zenon_intro zenon_H2f9 ]. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H2fa). zenon_intro zenon_H90. zenon_intro zenon_H2ec. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H2ec). zenon_intro zenon_H2ee. zenon_intro zenon_H2ed. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H2ed). zenon_intro zenon_H2f0. zenon_intro zenon_H2ef. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H2ef). zenon_intro zenon_H2f1. zenon_intro zenon_H26c. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H2ee); [ zenon_intro zenon_H38 | zenon_intro zenon_H26b ]. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_H79 | zenon_intro zenon_H91 ]. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_He2 | zenon_intro zenon_H26a ]. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H233 | zenon_intro zenon_H233 ]. % 11.54/11.71 apply (zenon_L830_); trivial. % 11.54/11.71 apply (zenon_L830_); trivial. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H233 | zenon_intro zenon_H233 ]. % 11.54/11.71 apply (zenon_L850_); trivial. % 11.54/11.71 apply (zenon_L850_); trivial. % 11.54/11.71 exact (zenon_H91 zenon_H90). % 11.54/11.71 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_H79 | zenon_intro zenon_H91 ]. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_He2 | zenon_intro zenon_H26a ]. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H233 | zenon_intro zenon_H233 ]. % 11.54/11.71 apply (zenon_L885_); trivial. % 11.54/11.71 apply (zenon_L885_); trivial. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H233 | zenon_intro zenon_H233 ]. % 11.54/11.71 apply (zenon_L930_); trivial. % 11.54/11.71 apply (zenon_L930_); trivial. % 11.54/11.71 exact (zenon_H91 zenon_H90). % 11.54/11.71 apply (zenon_or_s _ _ zenon_H2f9); [ zenon_intro zenon_H2fc | zenon_intro zenon_H2fb ]. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H2fc). zenon_intro zenon_Hb5. zenon_intro zenon_H2da. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H2da). zenon_intro zenon_H2dc. zenon_intro zenon_H2db. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_H25c. zenon_intro zenon_H2f4. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H2f4). zenon_intro zenon_H25e. zenon_intro zenon_H25d. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H234 | zenon_intro zenon_H234 ]. % 11.54/11.71 apply (zenon_L972_); trivial. % 11.54/11.71 apply (zenon_L972_); trivial. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H2fb); [ zenon_intro zenon_H2fe | zenon_intro zenon_H2fd ]. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H2fe). zenon_intro zenon_Hc7. zenon_intro zenon_H2df. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H2df). zenon_intro zenon_H2e1. zenon_intro zenon_H2e0. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H2e0). zenon_intro zenon_H2e3. zenon_intro zenon_H2e2. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H2e2). zenon_intro zenon_H1af. zenon_intro zenon_H273. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H4d | zenon_intro zenon_H271 ]. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H54 | zenon_intro zenon_H54 ]. % 11.54/11.71 apply (zenon_L979_); trivial. % 11.54/11.71 apply (zenon_L979_); trivial. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H54 | zenon_intro zenon_H54 ]. % 11.54/11.71 apply (zenon_L980_); trivial. % 11.54/11.71 apply (zenon_L980_); trivial. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H2fd); [ zenon_intro zenon_H300 | zenon_intro zenon_H2ff ]. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H300). zenon_intro zenon_H5a. zenon_intro zenon_H2e6. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H2e6). zenon_intro zenon_H2e8. zenon_intro zenon_H2e7. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H2e7). zenon_intro zenon_H22b. zenon_intro zenon_H2e9. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H2e9). zenon_intro zenon_H202. zenon_intro zenon_H200. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1c1 ]. % 11.54/11.71 exact (zenon_H1c1 zenon_H5a). % 11.54/11.71 exact (zenon_H1c1 zenon_H5a). % 11.54/11.71 apply (zenon_or_s _ _ zenon_H2ff); [ zenon_intro zenon_H302 | zenon_intro zenon_H301 ]. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H302). zenon_intro zenon_H18a. zenon_intro zenon_H2ec. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H2ec). zenon_intro zenon_H2ee. zenon_intro zenon_H2ed. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H2ed). zenon_intro zenon_H2f0. zenon_intro zenon_H2ef. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H2ef). zenon_intro zenon_H2f1. zenon_intro zenon_H26c. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H2ee); [ zenon_intro zenon_H38 | zenon_intro zenon_H26b ]. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_H79 | zenon_intro zenon_H91 ]. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_He2 | zenon_intro zenon_H26a ]. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H233 | zenon_intro zenon_H233 ]. % 11.54/11.71 apply (zenon_L730_); trivial. % 11.54/11.71 apply (zenon_L730_); trivial. % 11.54/11.71 exact (zenon_H26a zenon_H18a). % 11.54/11.71 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_He2 | zenon_intro zenon_H26a ]. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H233 | zenon_intro zenon_H233 ]. % 11.54/11.71 apply (zenon_L991_); trivial. % 11.54/11.71 apply (zenon_L991_); trivial. % 11.54/11.71 exact (zenon_H26a zenon_H18a). % 11.54/11.71 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_H79 | zenon_intro zenon_H91 ]. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_He2 | zenon_intro zenon_H26a ]. % 11.54/11.71 apply (zenon_L858_); trivial. % 11.54/11.71 exact (zenon_H26a zenon_H18a). % 11.54/11.71 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_He2 | zenon_intro zenon_H26a ]. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H233 | zenon_intro zenon_H233 ]. % 11.54/11.71 apply (zenon_L1068_); trivial. % 11.54/11.71 apply (zenon_L1068_); trivial. % 11.54/11.71 exact (zenon_H26a zenon_H18a). % 11.54/11.71 apply (zenon_or_s _ _ zenon_H301); [ zenon_intro zenon_H304 | zenon_intro zenon_H303 ]. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H304). zenon_intro zenon_H15e. zenon_intro zenon_H2da. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H2da). zenon_intro zenon_H2dc. zenon_intro zenon_H2db. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_H25c. zenon_intro zenon_H2f4. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H2f4). zenon_intro zenon_H25e. zenon_intro zenon_H25d. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H234 | zenon_intro zenon_H234 ]. % 11.54/11.71 apply (zenon_L1069_); trivial. % 11.54/11.71 apply (zenon_L1069_); trivial. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H303); [ zenon_intro zenon_H306 | zenon_intro zenon_H305 ]. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H306). zenon_intro zenon_H147. zenon_intro zenon_H2df. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H2df). zenon_intro zenon_H2e1. zenon_intro zenon_H2e0. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H2e0). zenon_intro zenon_H2e3. zenon_intro zenon_H2e2. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H2e2). zenon_intro zenon_H1af. zenon_intro zenon_H273. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H4d | zenon_intro zenon_H271 ]. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H54 | zenon_intro zenon_H54 ]. % 11.54/11.71 apply (zenon_L1095_); trivial. % 11.54/11.71 apply (zenon_L1095_); trivial. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H54 | zenon_intro zenon_H54 ]. % 11.54/11.71 apply (zenon_L1099_); trivial. % 11.54/11.71 apply (zenon_L1099_); trivial. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H305); [ zenon_intro zenon_H308 | zenon_intro zenon_H307 ]. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H308). zenon_intro zenon_Hec. zenon_intro zenon_H2e6. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H2e6). zenon_intro zenon_H2e8. zenon_intro zenon_H2e7. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H2e7). zenon_intro zenon_H22b. zenon_intro zenon_H2e9. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H2e9). zenon_intro zenon_H202. zenon_intro zenon_H200. % 11.54/11.71 apply (zenon_L282_); trivial. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H307). zenon_intro zenon_Hed. zenon_intro zenon_H2ec. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H2ec). zenon_intro zenon_H2ee. zenon_intro zenon_H2ed. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H2ed). zenon_intro zenon_H2f0. zenon_intro zenon_H2ef. % 11.54/11.71 apply (zenon_and_s _ _ zenon_H2ef). zenon_intro zenon_H2f1. zenon_intro zenon_H26c. % 11.54/11.71 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H233 | zenon_intro zenon_H233 ]. % 11.54/11.71 exact (zenon_H233 zenon_Hed). % 11.54/11.71 exact (zenon_H233 zenon_Hed). % 11.54/11.71 Qed. % 11.54/11.71 % SZS output end Proof % 11.54/11.71 (* END-PROOF *) % 11.54/11.71 nodes searched: 217344 % 11.54/11.71 max branch formulas: 291 % 11.54/11.71 proof nodes created: 12803 % 11.54/11.71 formulas created: 63945 % 11.54/11.71 %------------------------------------------------------------------------------